context: It is certain that Brian is green. It is impossible that Julius is gray. We believe that Lily is a frog.
hypothesis: It is impossible that lily is a frog, and Julius is gray.
valid_hypothesis: It is impossible that lily is a frog, and Julius is gray.
invalid_hypothesis: It is almost certain that lily is a frog, and Julius is gray.
hypothesis_assertion: Lily is a frog, and Julius is gray.