Consider the following premises. exists y_3: W_2(y_3) -> S_3(y_3). forall y_3: S_3(y_3) <-> R_4(y_3). forall y_3: S_3(y_3) <-> W_2(y_3). Can we infer forall y_3: ~(W_2(y_3) -> R_4(y_3)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.