Consider the following premises. exists x_9: T(x_9) <-> R_1(x_9). forall x_9: P_9(x_9) <-> T(x_9). Can we infer forall x_9: ~(R_1(x_9) -> P_9(x_9)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.