Consider the following premises. forall z: U(z) or ~W(z). exists z: R_4(z). forall z: W(z). Can we infer exists z: U(z) and R_4(z) from them?
 From forall z: U(z) or ~W(z) we can infer forall z: W(z) -> U(z). From forall z: W(z) -> U(z), forall z: W(z) we can infer forall z: U(z). Finally, from forall z: U(z), exists z: R_4(z) we can infer exists z: U(z) and R_4(z). Therefore, the answer is yes.