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_3: P(z_3) -> W(z_3). forall z_3: ~P(z_3). exists z_3: U_2(z_3) -> P(z_3). forall z_3: W(z_3) -> U_2(z_3).
exists z_3: ~U_2(z_3) can be inferred via the existential modus tollens rule. forall z_3: P(z_3) -> U_2(z_3) can be inferred via the universal transitivity rule. exists z_3: U_2(z_3) -> W(z_3) can be inferred via the existential transitivity rule. exists z_3: W(z_3) -> P(z_3) can be inferred via the existential transitivity rule.