Consider the following premises. exists x: W(x) or ~S(x). forall x: S(x) or ~W(x). Can we infer exists x: S(x) -> W(x) from them?
 From forall x: S(x) or ~W(x) we can infer forall x: W(x) -> S(x). Finally, from exists x: W(x) or ~S(x) we can infer exists x: S(x) -> W(x). Therefore, the answer is yes.