Consider the following premises. forall x_14: P_14(x_14) -> Q_14(x_14). forall x_14: P_14(x_14). forall x_14: Q_14(x_14) -> Q_10(x_14). Can we infer ~Q_10(a_9) from them? If possible, name the inference rules being used at each step.
 From forall x_14: P_14(x_14) -> Q_14(x_14), forall x_14: P_14(x_14) we can infer forall x_14: Q_14(x_14) via universal modus ponens. Finally, from forall x_14: Q_14(x_14) -> Q_10(x_14), forall x_14: Q_14(x_14) we can infer forall x_14: Q_10(x_14) via universal modus ponens, which contradicts ~Q_10(a_9). Therefore, the answer is no.