Translate the following inference to logic notation: There is at least one x for which if x_8 drinks water, then x_8 is sleeping. For all x, x_8 will not cook or x_8 will make tea. For all x, x_8 will cook. For all x, if x_8 climbs a mountain, then x_8 is drinking water. For all x, if x_8 makes tea, then x_8 is sleeping. Therefore there is at least one x for which x_8 will sleep.
exists x: P(x) -> Q(x). forall x: ~R(x) or S(x). forall x: R(x). forall x: T(x) -> P(x). forall x: S(x) -> Q(x). Therefore exists x: Q(x).