Consider the following premises. forall x_8: Q_8(x_8) -> P_1(x_8). forall x_8: R_1(x_8) -> Q_8(x_8). P_1(g_2) -> R_1(g_2). Can we infer ~(R_1(g_2) -> P_1(g_2)) from them? If possible, name the inference rules being used at each step.
That contradicts the premises. Therefore the answer is no.