Consider the following premises. forall y: R_3(y) or U(y). forall y: W(y) -> ~S(y). forall y: U(y) -> S(y). forall y: R_3(y) -> S(y). Can we infer exists y: W(y) from them?
 From forall y: R_3(y) -> S(y), forall y: U(y) -> S(y), forall y: R_3(y) or U(y) we can infer forall y: S(y). Finally, from forall y: W(y) -> ~S(y), forall y: S(y) we can infer forall y: ~W(y), which contradicts exists y: W(y). Therefore, the answer is no.