Consider the following premises. forall x_11: P_11(x_11) -> Q(x_11). forall x_11: Q(x_11). exists x_11: ~P_11(x_11). forall x_11: Q(x_11) -> P_11(x_11). Can we infer forall x_11: ~W(x_11) 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.