Translate the following inference to logic notation: For all x, if x_6 were an artist, then x_6 is a soldier. For all x, x_6 is not an artist. There is at least one x for which x_6 will play squash if and only if x_6 is a soldier. For all x, if x_6 were a soldier, then x_6 is climbing a mountain. For all x, if x_6 climbs a mountain, then x_6 is an artist. Therefore there is at least one x for which x_6 will not play squash.
forall x: P(x) -> Q(x). forall x: ~P(x). exists x: R(x) <-> Q(x). forall x: Q(x) -> S(x). forall x: S(x) -> P(x). Therefore exists x: ~R(x).