Translate the following inference to logic notation: For all x, x_5 is a politician. For all x, if x_5 takes a plane, then x_5 is curious. For all x, x_5 will take a plane. For all x, if x_5 were curious, then x_5 is making tea. Therefore for all x, x_5 will make tea and x_5 is a politician.
forall x: P(x). forall x: Q(x) -> R(x). forall x: Q(x). forall x: R(x) -> S(x). Therefore forall x: S(x) and P(x).