Consider the following premises. exists z_4: P(z_4) -> R(z_4). forall z_4: R(z_4) or ~W(z_4). forall z_4: R(z_4) -> W(z_4). forall z_4: S(z_4) -> P(z_4). Can we infer forall z_4: ~(S(z_4) -> W(z_4)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.