Consider the following premises. forall y_1: W_3(y_1) -> W(y_1). R(j) -> W_3(j). forall y_1: W(y_1) <-> R(y_1). Can we infer ~(W_3(j) <-> R(j)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.