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 x: T(x) -> S(x). forall x: ~U_2(x). forall x: S(x) -> U_2(x). forall x: U_2(x) -> T(x).
forall x: ~S(x) can be inferred via the universal modus tollens rule. forall x: T(x) -> U_2(x) can be inferred via the universal transitivity rule. forall x: S(x) -> T(x) can be inferred via the universal transitivity rule. forall x: U_2(x) -> S(x) can be inferred via the universal transitivity rule.