Consider the following premises. forall x_7: P_7(x_7) or Q_7(x_7). forall x_7: ~Q_7(x_7) or R_5(x_7). forall x_7: ~P_7(x_7) or U(x_7). ~U(a_3) or w. Can we infer w 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.