Translate the following inference to logic notation: For all x, if x_15 sleeps, then x_15 is driving a car. It is not late. Susan is playing squash if and only if Michael is driving a car. It is late if and only if Susan is playing squash. Therefore Michael is not sleeping.
forall x: P(x) -> Q(x). ~p. q <-> Q(a). p <-> q. Therefore ~P(a).