Consider the following premises. forall x_5: U(x_5) and Q_5(x_5). exists x_5: ~U(x_5). Can we infer exists x_5: U_3(x_5) from them?
 From forall x_5: U(x_5) and Q_5(x_5) we can infer forall x_5: U(x_5). From forall x_5: U(x_5) we can infer forall x_5: U(x_5) or U_3(x_5). Finally, from forall x_5: U(x_5) or U_3(x_5), exists x_5: ~U(x_5) we can infer exists x_5: U_3(x_5). Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.