Translate the following inference to logic notation: For all x, x_6 is a taxi driver. For all x, x_6 is happy or x_6 will listen to a song. For all x, x_6 is not happy. For all x, if x_6 were a taxi driver, then x_6 is a poet. Therefore for all x, x_6 is a poet and x_6 will listen to a song.
forall x: P(x). forall x: Q(x) or R(x). forall x: ~Q(x). forall x: P(x) -> S(x). Therefore forall x: S(x) and R(x).