Consider the following premises. s -> W_3(e). forall y_1: ~W_3(y_1). s or u. Can we infer ~u from them?
 From forall y_1: ~W_3(y_1) we can infer ~W_3(e). From s -> W_3(e), ~W_3(e) we can infer ~s. Finally, from s or u, ~s we can infer u, which contradicts ~u. Therefore, the answer is no.