Consider the following premises. forall x_9: Q(x_9) -> Q_4(x_9). exists x_9: Q_4(x_9) -> Q_9(x_9). forall x_9: Q(x_9) or ~Q_9(x_9). Can we infer forall x_9: ~(Q(x_9) -> Q_9(x_9)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.