Consider the following premises. exists x_19: P_19(x_19) or Q_19(x_19). forall x_19: Q_15(x_19) -> U_4(x_19). forall x_19: P_15(x_19) or Q_15(x_19). forall x_19: Q_19(x_19) -> U(x_19). forall x_19: ~P_19(x_19). forall x_19: P_15(x_19) -> U_4(x_19). Can we infer exists x_19: U_4(x_19) from them?
 From exists x_19: P_19(x_19) or Q_19(x_19), forall x_19: ~P_19(x_19) we can infer exists x_19: Q_19(x_19). From forall x_19: P_15(x_19) -> U_4(x_19), forall x_19: Q_15(x_19) -> U_4(x_19), forall x_19: P_15(x_19) or Q_15(x_19) we can infer forall x_19: U_4(x_19). From forall x_19: Q_19(x_19) -> U(x_19), exists x_19: Q_19(x_19) we can infer exists x_19: U(x_19). From forall x_19: U_4(x_19), exists x_19: U(x_19) we can infer exists x_19: U_4(x_19) and U(x_19). Finally, from exists x_19: U_4(x_19) and U(x_19) we can infer exists x_19: U_4(x_19). Therefore, the answer is yes.