Translate the following inference to logic notation: There is at least one x for which if x_10 were a nurse, then x_10 is taking a plane. For all x, if x_10 takes a plane, then x_10 is an artist. For all x, if x_10 were an artist, then x_10 is a politician. For all x, x_10 is an astronaut or x_10 is not a politician. Therefore there is at least one x for which if x_10 were a nurse, then x_10 is an astronaut.
exists x: P(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> S(x). forall x: T(x) or ~S(x). Therefore exists x: P(x) -> T(x).