Consider the following premises. forall x_8: W(x_8) -> Q_8(x_8). forall x_8: Q_8(x_8) -> S(x_8). exists x_8: S(x_8) <-> W(x_8). Can we infer forall x_8: ~(S(x_8) -> W(x_8)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.