Consider the following premises. forall x_15: P_15(x_15) <-> W_2(x_15). forall x_15: W_2(x_15) or ~R_4(x_15). exists x_15: P_15(x_15) -> W_2(x_15). Can we infer forall x_15: ~(R_4(x_15) -> P_15(x_15)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.