Consider the following premises. exists x_13: T_4(x_13) -> Q_13(x_13). forall x_13: P_13(x_13) <-> Q_13(x_13). forall x_13: P_7(x_13) or ~P_13(x_13). Can we infer forall x_13: ~(T_4(x_13) -> P_7(x_13)) from them?
That contradicts the premises. Therefore the answer is no.