Consider the following premises. forall x_9: P_4(x_9). forall x_9: ~P_9(x_9). forall x_9: P_9(x_9) or R_1(x_9). forall x_9: P_4(x_9) -> Q_4(x_9). Can we infer ~R_1(a_2) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.