Consider the following premises. forall x_9: P_1(x_9). forall x_9: Q_5(x_9) -> Q_4(x_9). forall x_9: P_1(x_9) -> Q_4(x_9). forall x_9: Q_9(x_9) -> Q_5(x_9). Can we infer Q_4(e_3) from them?
 From forall x_9: P_1(x_9) we can infer forall x_9: P_1(x_9) or Q_9(x_9). From forall x_9: Q_9(x_9) -> Q_5(x_9), forall x_9: Q_5(x_9) -> Q_4(x_9) we can infer forall x_9: Q_9(x_9) -> Q_4(x_9). From forall x_9: P_1(x_9) -> Q_4(x_9), forall x_9: Q_9(x_9) -> Q_4(x_9), forall x_9: P_1(x_9) or Q_9(x_9) we can infer forall x_9: Q_4(x_9). Finally, from forall x_9: Q_4(x_9) we can infer Q_4(e_3). Therefore, the answer is yes.