Consider the following premises. forall x: T(x) -> P_3(x). forall x: U(x) -> P_3(x). forall x: ~U_4(x) or T(x). p -> ~P_3(g_4). forall x: U_4(x) or U(x). Can we infer p from them?
 From forall x: U_4(x) or U(x), forall x: ~U_4(x) or T(x) we can infer forall x: U(x) or T(x). From forall x: U(x) -> P_3(x), forall x: T(x) -> P_3(x), forall x: U(x) or T(x) we can infer forall x: P_3(x). From forall x: P_3(x) we can infer P_3(g_4). Finally, from p -> ~P_3(g_4), P_3(g_4) we can infer ~p, which contradicts p. Therefore, the answer is no.