Consider the following premises. forall x_11: Q(x_11) -> Q_11(x_11). forall x_11: Q_11(x_11) -> R_11(x_11). Q(a_10) or ~w_4. Can we infer ~(w_4 -> R_11(a_10)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.