Translate the following inference to logic notation: There is at least one x for which x_6 will go running. For all x, x_6 is not an artist or x_6 is bored. For all x, if x_6 listens to a song, then x_6 is not running. For all x, x_6 is an artist or x_6 will listen to a song. Therefore there is at least one x for which x_6 is bored.
exists x: P(x). forall x: ~Q(x) or R(x). forall x: S(x) -> ~P(x). forall x: Q(x) or S(x). Therefore exists x: R(x).