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: R(z) -> W(z). exists z: P_3(z) or ~W(z). forall z: P_3(z) -> R(z). forall z: ~W(z).
forall z: ~R(z) can be inferred via the universal modus tollens rule. forall z: P_3(z) -> W(z) can be inferred via the universal transitivity rule. exists z: W(z) -> P_3(z) can be inferred via the existential rewriting rule.