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: R(x) -> S(x). exists x: S(x) -> S_1(x). forall x: S_1(x) -> R(x).
forall x: S_1(x) -> S(x) can be inferred via the universal transitivity rule. exists x: S(x) -> R(x) can be inferred via the existential transitivity rule. exists x: R(x) -> S_1(x) can be inferred via the existential transitivity rule.