Translate the following inference to logic notation: For all x, x_6 is not an artist or x_6 will sleep. There is at least one x for which x_6 will cook. For all x, x_6 is an artist or x_6 will drink water. For all x, if x_6 drinks water, then x_6 is not cooking. Therefore there is at least one x for which x_6 will sleep.
forall x: ~P(x) or Q(x). exists x: R(x). forall x: P(x) or S(x). forall x: S(x) -> ~R(x). Therefore exists x: Q(x).