Translate the following inference to logic notation: For all x, x_6 will take a plane. For all x, x_6 will listen to a song if and only if x_6 will go running. For all x, x_6 will listen to a song if and only if x_6 will play squash. For all x, if x_6 plays squash, then x_6 is not taking a plane. Therefore for all x, x_6 will not go running.
forall x: P(x). forall x: Q(x) <-> R(x). forall x: Q(x) <-> S(x). forall x: S(x) -> ~P(x). Therefore forall x: ~R(x).