Consider the following premises. forall x_9: ~P_9(x_9). forall x_9: P_7(x_9) or P(x_9). forall x_9: P(x_9) -> ~Q_1(x_9). exists x_9: ~P_7(x_9) or R_1(x_9). forall x_9: P_9(x_9) or Q_1(x_9). Can we infer forall x_9: ~R_1(x_9) from them?
 From forall x_9: P_9(x_9) or Q_1(x_9), forall x_9: ~P_9(x_9) we can infer forall x_9: Q_1(x_9). From forall x_9: P_7(x_9) or P(x_9), exists x_9: ~P_7(x_9) or R_1(x_9) we can infer exists x_9: P(x_9) or R_1(x_9). From forall x_9: P(x_9) -> ~Q_1(x_9), forall x_9: Q_1(x_9) we can infer forall x_9: ~P(x_9). Finally, from exists x_9: P(x_9) or R_1(x_9), forall x_9: ~P(x_9) we can infer exists x_9: R_1(x_9), which contradicts forall x_9: ~R_1(x_9). Therefore, the answer is no.