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: S(z) -> T(z). forall z: Q(z) -> S(z). forall z: T(z) -> P(z).
forall z: P(z) -> S(z) can be inferred via the universal transitivity rule. forall z: T(z) -> Q(z) can be inferred via the universal transitivity rule. exists z: S(z) -> P(z) can be inferred via the existential transitivity rule. exists z: Q(z) -> T(z) can be inferred via the existential transitivity rule.