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_4: S_1(x_4) -> W_4(x_4). exists x_4: W_4(x_4) -> S_1(x_4). forall x_4: ~Q(x_4). forall x_4: W_4(x_4) -> S_1(x_4). forall x_4: W_4(x_4) -> Q(x_4).
forall x_4: ~W_4(x_4) can be inferred via the universal modus tollens rule. forall x_4: S_1(x_4) -> Q(x_4) can be inferred via the universal transitivity rule. forall x_4: S_1(x_4) <-> W_4(x_4) can be inferred via the universal biconditional introduction rule. forall x_4: W_4(x_4) <-> S_1(x_4) can be inferred via the universal biconditional introduction rule. exists x_4: W_4(x_4) <-> S_1(x_4) can be inferred via the existential biconditional introduction rule. exists x_4: S_1(x_4) <-> W_4(x_4) can be inferred via the existential biconditional introduction rule.