Consider the following premises. w -> q. P_12(a_12) -> q. forall x_12: P_12(x_12). Can we infer ~q from them?
 From forall x_12: P_12(x_12) we can infer P_12(a_12). From P_12(a_12) we can infer P_12(a_12) or w. Finally, from P_12(a_12) -> q, w -> q, P_12(a_12) or w we can infer q, which contradicts ~q. Therefore, the answer is no.