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: S(z) or ~T(z). forall z: T(z) <-> R_1(z). forall z: ~S(z). forall z: R_1(z) or T_3(z).
forall z: T(z) -> S(z) can be inferred via the universal rewriting rule. forall z: T(z) -> R_1(z) can be inferred via the universal biconditional elimination rule. forall z: R_1(z) -> T(z) can be inferred via the universal biconditional elimination rule.