Consider the following premises. exists x_10: ~P_1(x_10). forall x_10: P_10(x_10) <-> Q_10(x_10). forall x_10: ~Q_10(x_10). forall x_10: P_10(x_10) or P_1(x_10). Can we infer forall x_10: ~W_2(x_10) 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.