Consider the following premises. forall x_4: T_3(x_4) -> W_1(x_4). forall x_4: T(x_4) -> T_3(x_4). Can we infer exists x_4: ~(T(x_4) -> W_1(x_4)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.