Consider the following premises. exists x_13: S_2(x_13) and Q_1(x_13). forall x_13: P_13(x_13) -> W(x_13). forall x_13: P_13(x_13) or Q_13(x_13). forall x_13: Q_13(x_13) -> W(x_13). Can we infer forall x_13: P_13(x_13) -> W(x_13) from them?
That is one of the premises. Therefore, the answer is yes.