Translate the following inference to logic notation: For all x, if x_6 were a poet, then x_6 is playing squash. For all x, x_6 will not listen to a song or x_6 is a poet. For all x, if x_6 plays squash, then x_6 is climbing a mountain. For all x, if x_6 were excited, then x_6 is playing squash. For all x, x_6 will listen to a song or x_6 is excited. Therefore for all x, x_6 will climb a mountain.
forall x: P(x) -> Q(x). forall x: ~R(x) or P(x). forall x: Q(x) -> S(x). forall x: T(x) -> Q(x). forall x: R(x) or T(x). Therefore forall x: S(x).