Translate the following inference to logic notation: There is at least one x for which y_3 will listen to a song. For all x, if y_3 listens to a song, then y_3 is curious. For all x, y_3 will sleep. Therefore there is at least one x for which y_3 will sleep.
exists x: P(x). forall x: P(x) -> Q(x). forall x: R(x). Therefore exists x: R(x).