Consider the following premises. exists x_10: ~P_3(x_10) or P_10(x_10). forall x_10: P_3(x_10) or W(x_10). forall x_10: P_10(x_10) <-> Q_10(x_10). forall x_10: Q_10(x_10) <-> W(x_10). Can we infer exists x_10: ~P_3(x_10) or P_10(x_10) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.