Consider the following premises. forall y_3: U_4(y_3) or Q(y_3). forall y_3: U_4(y_3) -> W(y_3). exists y_3: W(y_3) or ~Q(y_3). Can we infer exists y_3: W(y_3) from them?
 From exists y_3: W(y_3) or ~Q(y_3) we can infer exists y_3: Q(y_3) -> W(y_3). Finally, from forall y_3: U_4(y_3) -> W(y_3), exists y_3: Q(y_3) -> W(y_3), forall y_3: U_4(y_3) or Q(y_3) we can infer exists y_3: W(y_3). Therefore, the answer is yes.