Consider the following premises. exists x_9: P_7(x_9) <-> T(x_9). forall x_9: Q_1(x_9) -> P_7(x_9). forall x_9: ~P_9(x_9). forall x_9: P_9(x_9) or T(x_9). Can we infer exists x_9: P_7(x_9) from them?
 From forall x_9: P_9(x_9) or T(x_9), forall x_9: ~P_9(x_9) we can infer forall x_9: T(x_9). From exists x_9: P_7(x_9) <-> T(x_9) we can infer exists x_9: T(x_9) -> P_7(x_9). From forall x_9: T(x_9) we can infer forall x_9: T(x_9) or Q_1(x_9). Finally, from exists x_9: T(x_9) -> P_7(x_9), forall x_9: Q_1(x_9) -> P_7(x_9), forall x_9: T(x_9) or Q_1(x_9) we can infer exists x_9: P_7(x_9). Therefore, the answer is yes.