Consider the following premises. forall x_19: U_3(x_19) <-> Q_19(x_19). forall x_19: Q_19(x_19) or Q_6(x_19). forall x_19: P_11(x_19) or W(x_19). forall x_19: Q_6(x_19) -> U_3(x_19). exists x_19: ~P_11(x_19). Can we infer exists x_19: U_3(x_19) from them?
 From forall x_19: U_3(x_19) <-> Q_19(x_19) we can infer forall x_19: Q_19(x_19) -> U_3(x_19). From forall x_19: P_11(x_19) or W(x_19), exists x_19: ~P_11(x_19) we can infer exists x_19: W(x_19). From forall x_19: Q_19(x_19) -> U_3(x_19), forall x_19: Q_6(x_19) -> U_3(x_19), forall x_19: Q_19(x_19) or Q_6(x_19) we can infer forall x_19: U_3(x_19). From forall x_19: U_3(x_19), exists x_19: W(x_19) we can infer exists x_19: U_3(x_19) and W(x_19). Finally, from exists x_19: U_3(x_19) and W(x_19) we can infer exists x_19: U_3(x_19). Therefore, the answer is yes.