Consider the following premises. exists x_11: Q_3(x_11) or T_3(x_11). forall x_11: Q(x_11) or ~T_3(x_11). forall x_11: ~Q_3(x_11). Can we infer exists x_11: Q(x_11) from them?
 From forall x_11: Q(x_11) or ~T_3(x_11) we can infer forall x_11: T_3(x_11) -> Q(x_11). From exists x_11: Q_3(x_11) or T_3(x_11), forall x_11: ~Q_3(x_11) we can infer exists x_11: T_3(x_11). Finally, from forall x_11: T_3(x_11) -> Q(x_11), exists x_11: T_3(x_11) we can infer exists x_11: Q(x_11). Therefore, the answer is yes.