Consider the following premises. exists x_1: W(x_1) <-> S(x_1). forall x_1: S(x_1) or ~W(x_1). Can we infer exists x_1: W(x_1) -> S(x_1) from them?
 From exists x_1: W(x_1) <-> S(x_1) we can infer exists x_1: S(x_1) -> W(x_1). From forall x_1: S(x_1) or ~W(x_1) we can infer forall x_1: W(x_1) -> S(x_1). From forall x_1: W(x_1) -> S(x_1), exists x_1: S(x_1) -> W(x_1) we can infer exists x_1: W(x_1) <-> S(x_1). Finally, from exists x_1: W(x_1) <-> S(x_1) we can infer exists x_1: W(x_1) -> S(x_1). Therefore, the answer is yes.