Consider the following premises. forall x_4: U(x_4) <-> R(x_4). forall x_4: R(x_4) <-> T_2(x_4). exists x_4: U(x_4) -> T_2(x_4). Can we infer forall x_4: ~(R(x_4) -> T_2(x_4)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.