Consider the following premises. forall x_5: T_3(x_5) and Q_5(x_5). exists x_5: ~T_3(x_5) or R(x_5). Can we infer forall x_5: ~(Q_1(x_5) or R(x_5)) from them?
 From forall x_5: T_3(x_5) and Q_5(x_5) we can infer forall x_5: T_3(x_5). Finally, from forall x_5: T_3(x_5) we can infer forall x_5: T_3(x_5) or Q_1(x_5), which contradicts forall x_5: ~(Q_1(x_5) or R(x_5)). Therefore, the answer is no.