Translate the following inference to logic notation: For all x, if x_7 takes a plane, then x_7 is not a police officer. For all x, x_7 will play a game. For all x, x_7 will play a game if and only if x_7 is a police officer. Therefore for all x, x_7 will not take a plane.
forall x: P(x) -> ~Q(x). forall x: R(x). forall x: R(x) <-> Q(x). Therefore forall x: ~P(x).