Consider the following premises. exists x_9: P_5(x_9) <-> W(x_9). forall x_9: ~P_5(x_9). forall x_9: W(x_9). Can we infer forall x_9: ~S(x_9) 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.