Consider the following premises. forall x_15: Q_15(x_15) -> R_15(x_15). forall x_15: P_2(x_15) or P(x_15). exists x_15: R_15(x_15) <-> W_3(x_15). forall x_15: P(x_15) -> Q_15(x_15). forall x_15: ~P_2(x_15). Can we infer forall x_15: P_2(x_15) or P(x_15) from them?
That is one of the premises. Therefore, the answer is yes.