Consider the following premises. forall x_7: Q_1(x_7) -> R_1(x_7). forall x_7: P_7(x_7) or ~W(x_7). exists x_7: P_7(x_7) -> Q_1(x_7). Can we infer forall x_7: Q_1(x_7) -> R_1(x_7) from them?
That is one of the premises. Therefore, the answer is yes.