Consider the following premises. forall z: U_3(z) -> W(z). forall z: P(z) or U_3(z). exists z: P(z) -> W(z). forall z: S_3(z). Can we infer exists z: W(z) and S_3(z) from them?
 From exists z: P(z) -> W(z), forall z: U_3(z) -> W(z), forall z: P(z) or U_3(z) we can infer exists z: W(z). Finally, from exists z: W(z), forall z: S_3(z) we can infer exists z: W(z) and S_3(z). Therefore, the answer is yes.