Consider the following premises. forall x_13: P_13(x_13) -> Q_13(x_13). Q_13(a_12) or ~s. forall x_13: Q_13(x_13) -> P_13(x_13). Can we infer ~(s -> P_13(a_12)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.