Consider the following premises. exists x_11: S(x_11). forall x_11: Q_11(x_11) -> S(x_11). forall x_11: ~Q_11(x_11). forall x_11: S(x_11) <-> Q_11(x_11). Can we infer forall x_11: ~W_1(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.