Translate the following inference to logic notation: There is at least one x for which x_16 is not a scientist or x_16 is a soldier. For all x, x_16 will listen to a song or x_16 is not a soldier. For all x, x_16 is a scientist or x_16 will write a letter. For all x, if x_16 writes a letter, then x_16 is listening to a song. Therefore there is at least one x for which x_16 will listen to a song or x_16 will work.
exists x: ~P(x) or Q(x). forall x: R(x) or ~Q(x). forall x: P(x) or S(x). forall x: S(x) -> R(x). Therefore exists x: R(x) or T(x).