Consider the following premises. exists x_14: P_10(x_14) <-> R(x_14). forall x_14: R(x_14) <-> P(x_14). forall x_14: P_10(x_14) -> P(x_14). Can we infer forall x_14: ~(R(x_14) <-> P(x_14)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.