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: exists z: ~S_3(z). forall z: T(z) <-> S_3(z). forall z: T(z) or ~S_3(z).
forall z: S_3(z) -> T(z) can be inferred via the universal rewriting rule. forall z: T(z) -> S_3(z) can be inferred via the universal biconditional elimination rule. forall z: S_3(z) -> T(z) can be inferred via the universal biconditional elimination rule. exists z: ~T(z) can be inferred via the existential biconditional elimination rule.