Consider the following premises. q_4 or P(d). forall z_1: P(z_1) -> T_3(z_1). T_3(d) <-> q_4. Can we infer ~T_3(d) from them?
 From forall z_1: P(z_1) -> T_3(z_1) we can infer P(d) -> T_3(d). From T_3(d) <-> q_4 we can infer q_4 -> T_3(d). Finally, from q_4 -> T_3(d), P(d) -> T_3(d), q_4 or P(d) we can infer T_3(d), which contradicts ~T_3(d). Therefore, the answer is no.