Consider the following premises. forall x_9: R_7(x_9) -> R_5(x_9). forall x_9: R_9(x_9) -> R_5(x_9). forall x_9: ~Q_9(x_9) or R_7(x_9). forall x_9: ~P_9(x_9) or R_9(x_9). forall x_9: P_9(x_9) or Q_9(x_9). Can we infer forall y: R_5(y) from them? If possible, name the inference rules being used at each step.
We cannot infer that from the premises. Therefore the answer is no.