Translate the following inference to logic notation: For all x, if x_14 were a doctor, then x_14 is an artist. For all x, x_14 will not play a game. For all x, if x_14 were a police officer, then x_14 is playing a game. Barbara is an office clerk if and only if Jessica is a doctor. For all x, if x_14 were an artist, then x_14 is a police officer. Therefore Barbara is not an office clerk.
forall x: P(x) -> Q(x). forall x: ~R(x). forall x: S(x) -> R(x). p <-> P(a). forall x: Q(x) -> S(x). Therefore ~p.