Consider the following premises. forall x: ~W_4(x). forall x: W_3(x) -> W_4(x). forall x: W_3(x) -> R(x). forall x: R(x) -> W_3(x). Can we infer forall x: ~R(x) from them?
 From forall x: W_3(x) -> W_4(x), forall x: ~W_4(x) we can infer forall x: ~W_3(x). From forall x: W_3(x) -> R(x), forall x: R(x) -> W_3(x) we can infer forall x: W_3(x) <-> R(x). Finally, from forall x: W_3(x) <-> R(x), forall x: ~W_3(x) we can infer forall x: ~R(x). Therefore, the answer is yes.