Consider the following premises. forall x: Q_3(x) -> S(x). forall x: R(x) -> W(x). forall x: W(x) -> W_4(x). forall x: S(x) -> R(x). Can we infer forall x: Q_3(x) -> W_4(x) from them?
 From forall x: R(x) -> W(x), forall x: W(x) -> W_4(x) we can infer forall x: R(x) -> W_4(x). From forall x: S(x) -> R(x), forall x: R(x) -> W_4(x) we can infer forall x: S(x) -> W_4(x). Finally, from forall x: Q_3(x) -> S(x), forall x: S(x) -> W_4(x) we can infer forall x: Q_3(x) -> W_4(x). Therefore, the answer is yes.