Consider the following premises. exists x_18: ~Q_18(x_18). forall x_18: P_18(x_18) <-> W(x_18). forall x_18: W(x_18). forall x_18: P_18(x_18) <-> Q_18(x_18). Can we infer forall x_18: ~S(x_18) 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.