Translate the following inference to logic notation: There is at least one x for which x_18 will drink water or x_18 will climb a mountain. For all x, x_18 is a politician. For all x, x_18 is a writer if and only if x_18 is an artist. For all x, if x_18 drinks water, then x_18 is an artist. For all x, if x_18 climbs a mountain, then x_18 is a writer. Therefore there is at least one x for which x_18 is a politician.
exists x: P(x) or Q(x). forall x: R(x). forall x: S(x) <-> T(x). forall x: P(x) -> T(x). forall x: Q(x) -> S(x). Therefore exists x: R(x).