context: There is a very good chance that Mary put down the milk. It is certain that Bill is in the school. We believe that Brian is a lion. It is certain that if Bill is in the school, or Brian is a lion, then John moved to the office. It is probably the case that if Brian is a lion, or Mary put down the milk, then Greg is a swan. It is improbable that if Mary put down the milk, and Brian is a lion, then Lily is gray.
hypothesis: It is highly unlikely that lily is gray, and Bill is in the school.
valid_hypothesis: It is highly unlikely that lily is gray, and Bill is in the school.
invalid_hypothesis: It is likely that lily is gray, and Bill is in the school.
hypothesis_assertion: Lily is gray, and Bill is in the school.