Consider the following premises. forall x_13: Q_13(x_13) -> R(x_13). forall x_13: P_13(x_13) -> R(x_13). U_2(a_5) or q. forall x_13: P_13(x_13) or Q_13(x_13). forall x_13: U_2(x_13) -> ~R(x_13). Can we infer w_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.