context: It is almost certain that Daniel took the football. It is highly unlikely that Bill dropped the milk. There is a very good chance that Sumit is thirsty. We doubt that if Bill dropped the milk, and Sumit is thirsty, then Gertrude is a wolf. It is probably the case that if Sumit is thirsty, or Bill dropped the milk, then Bernhard is gray. Chances are slight that if Sumit is thirsty, or Daniel took the football, then Lily is white.
hypothesis: There is a better than even chance that lily is white, or Bernhard is gray.
valid_hypothesis: There is a better than even chance that lily is white, or Bernhard is gray.
invalid_hypothesis: There is almost no chance that lily is white, or Bernhard is gray.
hypothesis_assertion: Lily is white, or Bernhard is gray.