What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? forall x: R(x) <-> P(x). exists x: R_1(x) <-> R(x). forall x: P(x) <-> S(x). forall x: ~R_1(x).
forall x: R(x) -> P(x). forall x: P(x) -> S(x). exists x: R_1(x) -> R(x). forall x: P(x) -> R(x). forall x: S(x) -> P(x). exists x: R(x) -> R_1(x). exists x: ~R(x).