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: For all x_12, x_12 is bored if and only if x_12 is an artist. For all x_12, if x_12 were an artist, then x_12 is a scientist. For all x_12, x_12 is not an office clerk. There is at least one x_12 for which x_12 will go running if and only if x_12 is bored. For all x_12, x_12 is a scientist if and only if x_12 is an office clerk.
For all x_12, if x_12 were bored, then x_12 is an artist can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 were a scientist, then x_12 is an office clerk can be inferred via the universal biconditional elimination rule. There is at least one x_12 for which if x_12 goes running, then x_12 is bored can be inferred via the existential biconditional elimination rule. For all x_12, if x_12 were an artist, then x_12 is bored can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 were an office clerk, then x_12 is a scientist can be inferred via the universal biconditional elimination rule. There is at least one x_12 for which if x_12 were bored, then x_12 is running can be inferred via the existential biconditional elimination rule. For all x_12, x_12 is not a scientist can be inferred via the universal biconditional elimination rule.