Consider the following premises. exists z: R_1(z) -> W(z). forall z: Q_1(z). forall z: ~W(z). forall z: R_1(z) or W_1(z). Can we infer exists z: W_1(z) and Q_1(z) from them?
 From exists z: R_1(z) -> W(z), forall z: ~W(z) we can infer exists z: ~R_1(z). From forall z: R_1(z) or W_1(z), exists z: ~R_1(z) we can infer exists z: W_1(z). Finally, from exists z: W_1(z), forall z: Q_1(z) we can infer exists z: W_1(z) and Q_1(z). Therefore, the answer is yes.