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