Consider the following premises. exists y: Q_3(y). forall y: U(y) -> W(y). forall y: U_1(y) -> W(y). forall y: U_1(y) or U(y). Can we infer exists y: W(y) and Q_3(y) from them?
 From forall y: U_1(y) -> W(y), forall y: U(y) -> W(y), forall y: U_1(y) or U(y) we can infer forall y: W(y). Finally, from forall y: W(y), exists y: Q_3(y) we can infer exists y: W(y) and Q_3(y). Therefore, the answer is yes.