Consider the following premises. exists x_6: ~P_1(x_6). forall x_6: P_1(x_6) or ~T_2(x_6). forall x_6: P_1(x_6) -> Q_6(x_6). forall x_6: Q_6(x_6) -> T_2(x_6). Can we infer exists x_6: ~T_2(x_6) from them?
 From forall x_6: P_1(x_6) -> Q_6(x_6), forall x_6: Q_6(x_6) -> T_2(x_6) we can infer forall x_6: P_1(x_6) -> T_2(x_6). From forall x_6: P_1(x_6) or ~T_2(x_6) we can infer forall x_6: T_2(x_6) -> P_1(x_6). From forall x_6: T_2(x_6) -> P_1(x_6), forall x_6: P_1(x_6) -> T_2(x_6) we can infer forall x_6: T_2(x_6) <-> P_1(x_6). Finally, from forall x_6: T_2(x_6) <-> P_1(x_6), exists x_6: ~P_1(x_6) we can infer exists x_6: ~T_2(x_6). Therefore, the answer is yes.