Consider the following premises. exists x_11: U_2(x_11) -> Q_1(x_11). forall x_11: P_7(x_11) or ~R_11(x_11). forall x_11: ~P_11(x_11) or R_11(x_11). forall x_11: Q_1(x_11) -> P_7(x_11). forall x_11: P_11(x_11) or U_2(x_11). Can we infer exists x_11: P_7(x_11) from them?
 From forall x_11: P_11(x_11) or U_2(x_11), forall x_11: ~P_11(x_11) or R_11(x_11) we can infer forall x_11: U_2(x_11) or R_11(x_11). From forall x_11: P_7(x_11) or ~R_11(x_11) we can infer forall x_11: R_11(x_11) -> P_7(x_11). From exists x_11: U_2(x_11) -> Q_1(x_11), forall x_11: Q_1(x_11) -> P_7(x_11) we can infer exists x_11: U_2(x_11) -> P_7(x_11). Finally, from exists x_11: U_2(x_11) -> P_7(x_11), forall x_11: R_11(x_11) -> P_7(x_11), forall x_11: U_2(x_11) or R_11(x_11) we can infer exists x_11: P_7(x_11). Therefore, the answer is yes.