context: There is a very good chance that Lily is gray. It is improbable that Daniel grabbed the milk. It is probably the case that John went to the hallway. There is a better than even chance that if either Lily is gray, or John went to the hallway, then Brian is a swan. It is probably not the case that if Daniel grabbed the milk, and John went to the hallway, then Bernhard is a rhino. It is probable that if Daniel grabbed the milk, or Lily is gray, then Sandra left the milk.
hypothesis: There is a very good chance that lily is gray, or Sandra left the milk.
valid_hypothesis: There is a very good chance that lily is gray, or Sandra left the milk.
invalid_hypothesis: There is almost no chance that lily is gray, or Sandra left the milk.
hypothesis_assertion: Lily is gray, or Sandra left the milk.