Translate the following inference to logic notation: There is at least one x for which x_8 will cook or x_8 is an artist. For all x, x_8 will not drink water. For all x, x_8 will drink water if and only if x_8 will cook. Therefore there is at least one x for which x_8 is an artist.
exists x: P(x) or Q(x). forall x: ~R(x). forall x: R(x) <-> P(x). Therefore exists x: Q(x).