Consider the following premises. exists y_2: Q(y_2) or ~S_3(y_2). forall y_2: ~Q(y_2). Can we infer forall y_2: S_3(y_2) from them?
 From exists y_2: Q(y_2) or ~S_3(y_2) we can infer exists y_2: S_3(y_2) -> Q(y_2). Finally, from exists y_2: S_3(y_2) -> Q(y_2), forall y_2: ~Q(y_2) we can infer exists y_2: ~S_3(y_2), which contradicts forall y_2: S_3(y_2). Therefore, the answer is no.