Translate the following inference to logic notation: For all x, x_10 will not sleep or x_10 is happy. For all x, x_10 is a politician if and only if x_10 will play a game. For all x, x_10 will not play a game. For all x, x_10 will sleep or x_10 is a politician. For all x, x_10 will drive a car. Therefore for all x, x_10 is happy and x_10 will drive a car.
forall x: ~P(x) or Q(x). forall x: R(x) <-> S(x). forall x: ~S(x). forall x: P(x) or R(x). forall x: T(x). Therefore forall x: Q(x) and T(x).