What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? forall x: P(x) <-> S_3(x). forall x: ~S(x). forall x: S(x) <-> P(x). forall x: S_3(x) <-> U(x).
forall x: P(x) -> S_3(x). forall x: S(x) -> P(x). forall x: S_3(x) -> U(x). forall x: S_3(x) -> P(x). forall x: P(x) -> S(x). forall x: U(x) -> S_3(x). forall x: ~P(x).