Consider the following premises. forall x_12: P_12(x_12) and Q_12(x_12). q_4 -> ~P_12(a_9). Can we infer q_4 from them?
 From forall x_12: P_12(x_12) and Q_12(x_12) we can infer forall x_12: P_12(x_12). From forall x_12: P_12(x_12) we can infer P_12(a_9). Finally, from q_4 -> ~P_12(a_9), P_12(a_9) we can infer ~q_4, which contradicts q_4. Therefore, the answer is no.