Translate the following inference to logic notation: For all x, x_6 will cook if and only if x_6 will climb a mountain. For all x, if x_6 climbs a mountain, then x_6 is not a musician. For all x, x_6 is a musician. Therefore for all x, x_6 will not cook.
forall x: P(x) <-> Q(x). forall x: Q(x) -> ~R(x). forall x: R(x). Therefore forall x: ~P(x).