Translate the following inference to logic notation: For all x, if x plays a game, then x is a server. For all x, x is not an artist. There is at least one x for which if x were a server, then x is an artist. For all x, if x were a server, then x is playing a game. Therefore there is at least one x for which x will not play a game.
forall x: P(x) -> Q(x). forall x: ~R(x). exists x: Q(x) -> R(x). forall x: Q(x) -> P(x). Therefore exists x: ~P(x).