Translate the following inference to logic notation: There is at least one x for which if x_8 were bored, then x_8 is an astronaut. For all x, x_8 is curious. For all x, x_8 is a poet or x_8 is not curious. For all x, if x_8 were a poet, then x_8 is an astronaut. Therefore there is at least one x for which x_8 is an astronaut.
exists x: P(x) -> Q(x). forall x: R(x). forall x: S(x) or ~R(x). forall x: S(x) -> Q(x). Therefore exists x: Q(x).