Consider the following premises. forall z: T(z) -> R(z). forall z: W_3(z) -> U(z). exists z: W_3(z) or T(z). forall z: U(z) -> R(z). Can we infer exists z: R(z) from them?
 From forall z: W_3(z) -> U(z), forall z: U(z) -> R(z) we can infer forall z: W_3(z) -> R(z). Finally, from forall z: W_3(z) -> R(z), forall z: T(z) -> R(z), exists z: W_3(z) or T(z) we can infer exists z: R(z). Therefore, the answer is yes.