Translate the following inference to logic notation: There is at least one x for which z will climb a mountain or z will drink water. For all x, z will not climb a mountain or z will work. For all x, z will drink water if and only if z is a poet. For all x, z is a poet if and only if z will work. Therefore there is at least one x for which z is a poet.
exists x: P(x) or Q(x). forall x: ~P(x) or R(x). forall x: Q(x) <-> S(x). forall x: S(x) <-> R(x). Therefore exists x: S(x).