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