Translate the following inference to logic notation: There is at least one x for which x_17 will not sleep. For all x, x_17 is a lawyer or x_17 is a police officer. For all x, x_17 is a lawyer if and only if x_17 will sleep. Therefore there is at least one x for which x_17 is a police officer or x_17 will listen to a song.
exists x: ~P(x). forall x: Q(x) or R(x). forall x: Q(x) <-> P(x). Therefore exists x: R(x) or S(x).