Consider the following premises. forall y_1: S_3(y_1) or ~R(y_1). forall y_1: R(y_1) or ~S_3(y_1). Can we infer forall y_1: R(y_1) -> S_3(y_1) from them?
 From forall y_1: R(y_1) or ~S_3(y_1) we can infer forall y_1: S_3(y_1) -> R(y_1). Finally, from forall y_1: S_3(y_1) or ~R(y_1) we can infer forall y_1: R(y_1) -> S_3(y_1). Therefore, the answer is yes.