Consider the following premises. exists x_5: U(x_5). forall x_5: Q_2(x_5). forall x_5: U(x_5) -> ~Q_2(x_5). Can we infer exists x_5: Q(x_5) from them?
 From exists x_5: U(x_5) we can infer exists x_5: U(x_5) or Q(x_5). From forall x_5: U(x_5) -> ~Q_2(x_5), forall x_5: Q_2(x_5) we can infer forall x_5: ~U(x_5). Finally, from exists x_5: U(x_5) or Q(x_5), forall x_5: ~U(x_5) we can infer exists x_5: Q(x_5). Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.