Consider the following premises. forall y_3: P(y_3) or ~W_2(y_3). forall y_3: R(y_3) -> W_2(y_3). forall y_3: P(y_3) -> R(y_3). Can we infer ~(P(a_2) -> R(a_2)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.