Consider the following premises. forall x_13: Q_13(x_13) or Q_9(x_13). exists x_13: P(x_13). forall x_13: Q_5(x_13). forall x_13: Q_9(x_13) -> T_2(x_13). forall x_13: T_2(x_13) <-> Q_13(x_13). Can we infer forall x_13: ~(T_2(x_13) and P(x_13)) from them?
 From forall x_13: T_2(x_13) <-> Q_13(x_13) we can infer forall x_13: Q_13(x_13) -> T_2(x_13). From forall x_13: Q_13(x_13) -> T_2(x_13), forall x_13: Q_9(x_13) -> T_2(x_13), forall x_13: Q_13(x_13) or Q_9(x_13) we can infer forall x_13: T_2(x_13). Finally, from forall x_13: T_2(x_13), forall x_13: Q_5(x_13) we can infer forall x_13: T_2(x_13) and Q_5(x_13), which contradicts forall x_13: ~(T_2(x_13) and P(x_13)). Therefore, the answer is no.