Consider the following premises. forall x_11: Q_11(x_11) -> T(x_11). forall x_11: P_11(x_11) -> T(x_11). forall x_11: ~P_5(x_11). forall x_11: P_5(x_11) or Q_5(x_11). forall x_11: P_11(x_11) or Q_11(x_11). Can we infer ~T(c) from them?
That contradicts the premises. Therefore the answer is no.