Translate the following inference to logic notation: For all x, x_9 is an astronaut if and only if x_9 is a taxi driver. For all x, x_9 will not listen to a song. For all x, if x_9 were rich, then x_9 is a taxi driver. For all x, if x_9 were rich, then x_9 is listening to a song. For all x, if x_9 were a taxi driver, then x_9 is rich. Therefore for all x, x_9 is not an astronaut.
forall x: P(x) <-> Q(x). forall x: ~R(x). forall x: S(x) -> Q(x). forall x: S(x) -> R(x). forall x: Q(x) -> S(x). Therefore forall x: ~P(x).