Consider the following premises. forall x_5: P_5(x_5) or Q_5(x_5). forall x_5: P_5(x_5) -> R_5(x_5). forall x_5: Q_5(x_5) -> R_5(x_5). Can we infer forall z: R_5(z) 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.