Consider the following premises. forall x_12: P_12(x_12). p -> ~P_12(a_11). forall x_12: Q_12(x_12). Can we infer p from them? If possible, name the inference rules being used at each step.
 From forall x_12: P_12(x_12), forall x_12: Q_12(x_12) we can infer forall x_12: P_12(x_12) and Q_12(x_12) via universal conjunction. From forall x_12: P_12(x_12) and Q_12(x_12) we can infer P_12(a_11) and Q_12(a_11) via universal instantiation. From P_12(a_11) and Q_12(a_11) we can infer P_12(a_11) via simplification. Finally, from p -> ~P_12(a_11), P_12(a_11) we can infer ~p via modus tollens, which contradicts p. Therefore, the answer is no.