Consider the following premises. exists x_14: S(x_14) -> ~Q_7(x_14). forall x_14: S(x_14) or ~T_1(x_14). forall x_14: Q_7(x_14). forall x_14: P_3(x_14) -> T_1(x_14). Can we infer exists x_14: ~P_3(x_14) from them?
 From forall x_14: S(x_14) or ~T_1(x_14) we can infer forall x_14: T_1(x_14) -> S(x_14). From exists x_14: S(x_14) -> ~Q_7(x_14), forall x_14: Q_7(x_14) we can infer exists x_14: ~S(x_14). From forall x_14: P_3(x_14) -> T_1(x_14), forall x_14: T_1(x_14) -> S(x_14) we can infer forall x_14: P_3(x_14) -> S(x_14). Finally, from forall x_14: P_3(x_14) -> S(x_14), exists x_14: ~S(x_14) we can infer exists x_14: ~P_3(x_14). Therefore, the answer is yes.