Translate the following inference to logic notation: For all x, x_14 is excited. For all x, x_14 is a politician and x_14 will work. There is at least one x for which x_14 will play a game. Therefore there is at least one x for which x_14 will play a game and x_14 is a politician.
forall x: P(x). forall x: Q(x) and R(x). exists x: S(x). Therefore exists x: S(x) and Q(x).