Consider the following premises. exists x_16: ~P_2(x_16). forall x_16: ~P_15(x_16) or Q(x_16). forall x_16: P_15(x_16) or P_2(x_16). forall x_16: Q(x_16) -> Q_1(x_16). forall x_16: Q_1(x_16) -> Q(x_16). Can we infer exists x_16: ~P_2(x_16) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.