Consider the following premises. W(d_2) -> u_1. forall x: W(x). Can we infer ~u_1 from them? If possible, name the inference rules being used at each step.
 From forall x: W(x) we can infer W(d_2) via universal instantiation. Finally, from W(d_2) -> u_1, W(d_2) we can infer u_1 via modus ponens, which contradicts ~u_1. Therefore, the answer is no.