Translate the following inference to logic notation: For all x, x_4 is a politician or x_4 will play squash. For all x, if x_4 goes running, then x_4 is listening to a song. For all x, if x_4 works, then x_4 is listening to a song. For all x, x_4 is not a politician or x_4 will go running. For all x, x_4 will not play squash or x_4 will work. Therefore for all x, x_4 will listen to a song.
forall x: P(x) or Q(x). forall x: R(x) -> S(x). forall x: T(x) -> S(x). forall x: ~P(x) or R(x). forall x: ~Q(x) or T(x). Therefore forall x: S(x).