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: P(x) -> T_2(x). forall x: R_1(x) -> P(x). forall x: T_2(x) -> R_1(x). forall x: ~P(x).
forall x: ~R_1(x) can be inferred via the universal modus tollens rule. forall x: P(x) -> R_1(x) can be inferred via the universal transitivity rule. forall x: R_1(x) -> T_2(x) can be inferred via the universal transitivity rule. forall x: T_2(x) -> P(x) can be inferred via the universal transitivity rule.