Consider the following premises. exists z_4: W(z_4) <-> S(z_4). forall z_4: W(z_4). forall z_4: ~S(z_4). Can we infer forall z_4: ~U_1(z_4) from them? If possible, name the inference rules being used at each step.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.