Consider the following premises. forall x_9: U(x_9) <-> T(x_9). P_9(a_9). forall x_9: T(x_9) -> ~P_9(x_9). Can we infer exists x_9: ~U(x_9) from them?
 From P_9(a_9) we can infer exists x_9: P_9(x_9). From forall x_9: T(x_9) -> ~P_9(x_9), exists x_9: P_9(x_9) we can infer exists x_9: ~T(x_9). Finally, from forall x_9: U(x_9) <-> T(x_9), exists x_9: ~T(x_9) we can infer exists x_9: ~U(x_9). Therefore, the answer is yes.