Translate the following inference to logic notation: Karen is sleeping if and only if Jessica is fast. For all x, if x_14 were a scientist, then x_14 is a taxi driver. For all x, x_14 is fast if and only if x_14 is a scientist. For all x, x_14 will not play a game. For all x, if x_14 were a taxi driver, then x_14 is playing a game. Therefore Karen is not sleeping.
p <-> P(a). forall x: Q(x) -> R(x). forall x: P(x) <-> Q(x). forall x: ~S(x). forall x: R(x) -> S(x). Therefore ~p.