Consider the following premises. forall x_9: U(x_9). forall x_9: ~P_2(x_9). forall x_9: Q(x_9). exists x_9: P_2(x_9) or P(x_9). Can we infer forall x_9: ~(P(x_9) and Q(x_9)) from them?
 From exists x_9: P_2(x_9) or P(x_9), forall x_9: ~P_2(x_9) we can infer exists x_9: P(x_9). Finally, from forall x_9: Q(x_9), forall x_9: U(x_9) we can infer forall x_9: Q(x_9) and U(x_9), which contradicts forall x_9: ~(P(x_9) and Q(x_9)). Therefore, the answer is no.