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