Consider the following premises. forall x_7: ~Q_4(x_7). forall x_7: T_2(x_7) <-> Q_4(x_7). forall x_7: T_2(x_7) <-> W(x_7). Can we infer forall x_7: ~Q_4(x_7) from them?
That is one of the premises. Therefore, the answer is yes.