Consider the following premises. forall x_11: Q_6(x_11) -> Q(x_11). forall x_11: P_6(x_11) -> Q_6(x_11). forall x_11: U_4(x_11) or ~Q(x_11). exists x_11: P(x_11) -> P_6(x_11). Can we infer forall x_11: ~(P(x_11) -> U_4(x_11)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.