Translate the following inference to logic notation: For all x, if x_2 were a scientist, then x_2 is a server. For all x, if x_2 were a server, then x_2 is taking a plane. For all x, x_2 will not take a plane. For all x, if x_2 takes a plane, then x_2 is a scientist. Therefore for all x, x_2 is not a scientist.
forall x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: ~R(x). forall x: R(x) -> P(x). Therefore forall x: ~P(x).