Consider the following premises. forall x_7: R_7(x_7) -> R_5(x_7). forall x_7: Q_7(x_7) -> R_5(x_7). forall x_7: ~P_7(x_7) or R_7(x_7). forall x_7: P_7(x_7) or Q_7(x_7). Can we infer forall y_3: R_5(y_3) 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.