Consider the following premises. forall x_7: P_7(x_7) or ~U(x_7). P_7(a_5) -> w. Can we infer U(a_5) -> w from them?
 From forall x_7: P_7(x_7) or ~U(x_7) we can infer forall x_7: U(x_7) -> P_7(x_7). From forall x_7: U(x_7) -> P_7(x_7) we can infer U(a_5) -> P_7(a_5). Finally, from U(a_5) -> P_7(a_5), P_7(a_5) -> w we can infer U(a_5) -> w. Therefore, the answer is yes.