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_5: S_2(x_5) -> P_1(x_5). forall x_5: P_1(x_5) -> P_5(x_5). forall x_5: ~Q_5(x_5). forall x_5: P_5(x_5) -> Q_5(x_5).
forall x_5: ~P_5(x_5) can be inferred via the universal modus tollens rule. forall x_5: S_2(x_5) -> P_5(x_5) can be inferred via the universal transitivity rule. forall x_5: P_1(x_5) -> Q_5(x_5) can be inferred via the universal transitivity rule.