Consider the following premises. exists x_5: S_4(x_5) -> Q_5(x_5). forall x_5: P_2(x_5) or ~U_4(x_5). forall x_5: Q_5(x_5) -> U_4(x_5). Can we infer forall x_5: ~(S_4(x_5) -> P_2(x_5)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.