Consider the following premises. forall x_11: Q(x_11) -> S(x_11). forall x_11: R_4(x_11) -> S(x_11). forall x_11: T(x_11). exists x_11: R_4(x_11) or Q(x_11). Can we infer forall x_11: ~T(x_11) from them?
That contradicts the premises. Therefore the answer is no.