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: S(x) or ~W(x). exists x: S(x) <-> W(x).
forall x: W(x) -> S(x) can be inferred via the universal rewriting rule. exists x: S(x) -> W(x) can be inferred via the existential biconditional elimination rule. exists x: W(x) -> S(x) can be inferred via the existential biconditional elimination rule.