Consider the following premises. forall x: ~U_3(x). U_3(d) <-> p. p or ~U_3(d). Can we infer ~p from them?
 From forall x: ~U_3(x) we can infer ~U_3(d). From p or ~U_3(d) we can infer U_3(d) -> p. From U_3(d) <-> p we can infer p -> U_3(d). From U_3(d) -> p, p -> U_3(d) we can infer U_3(d) <-> p. Finally, from U_3(d) <-> p, ~U_3(d) we can infer ~p. Therefore, the answer is yes.