Consider the following premises. exists x_14: P_12(x_14) or Q_12(x_14). forall x_14: Q_12(x_14) -> P_14(x_14). forall x_14: Q_14(x_14). forall x_14: P_14(x_14) -> ~Q_14(x_14). forall x_14: P_12(x_14) -> P_14(x_14). Can we infer forall x_14: Q_14(x_14) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.