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: forall x_17: S_3(x_17) <-> P(x_17). exists x_17: P(x_17) and Q_11(x_17). forall x_17: P(x_17) -> S_3(x_17).
exists x_17: P(x_17) can be inferred via the existential simplification rule. exists x_17: Q_11(x_17) can be inferred via the existential simplification rule. forall x_17: S_3(x_17) -> P(x_17) can be inferred via the universal biconditional elimination rule. forall x_17: P(x_17) -> S_3(x_17) can be inferred via the universal biconditional elimination rule.