Consider the following premises. forall x_7: P_7(x_7). forall x_7: ~Q_7(x_7). exists x_7: T_4(x_7). forall x_7: ~P_7(x_7) or R_6(x_7). Can we infer forall x_7: ~(T_4(x_7) and R_6(x_7)) from them?
 From forall x_7: P_7(x_7) we can infer forall x_7: P_7(x_7) or Q_7(x_7). From forall x_7: P_7(x_7) or Q_7(x_7), forall x_7: ~P_7(x_7) or R_6(x_7) we can infer forall x_7: Q_7(x_7) or R_6(x_7). From forall x_7: Q_7(x_7) or R_6(x_7), forall x_7: ~Q_7(x_7) we can infer forall x_7: R_6(x_7). Finally, from exists x_7: T_4(x_7), forall x_7: R_6(x_7) we can infer exists x_7: T_4(x_7) and R_6(x_7), which contradicts forall x_7: ~(T_4(x_7) and R_6(x_7)). Therefore, the answer is no.