What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: p -> q. r_4 -> p. p_5 <-> q. q -> r_4. ~p_5.
p -> r_4 can be inferred via the transitivity rule. r_4 -> q can be inferred via the transitivity rule. q -> p can be inferred via the transitivity rule. p_5 -> q can be inferred via the biconditional elimination rule. q -> p_5 can be inferred via the biconditional elimination rule. ~q can be inferred via the biconditional elimination rule.