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 z: P(z) -> Q(z). exists z: ~P(z). forall z: P_3(z) -> P(z). forall z: Q(z) -> P_3(z).
exists z: ~P_3(z) can be inferred via the existential modus tollens rule. forall z: P(z) -> P_3(z) can be inferred via the universal transitivity rule. forall z: P_3(z) -> Q(z) can be inferred via the universal transitivity rule. forall z: Q(z) -> P(z) can be inferred via the universal transitivity rule.