Translate the following inference to logic notation: For all x, x_6 is excited or x_6 is a sailor. For all x, if x_6 were a scientist, then x_6 is an office clerk. For all x, x_6 is not excited. For all x, if x_6 were an office clerk, then x_6 is not a sailor. Therefore for all x, x_6 is not a scientist.
forall x: P(x) or Q(x). forall x: R(x) -> S(x). forall x: ~P(x). forall x: S(x) -> ~Q(x). Therefore forall x: ~R(x).