Consider the following premises. forall x_10: Q_10(x_10) -> P_10(x_10). forall x_10: P_10(x_10) -> Q_10(x_10). s -> Q_10(a_5). Can we infer ~(s -> P_10(a_5)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.