context: There is a very good chance that Brian is gray. Chances are slight that Greg is yellow. There is a very good chance that John put down the milk. We doubt that if either Brian is gray, or Greg is yellow, then Lily is white. It is unlikely that if John put down the milk, and Greg is yellow, then Jessica is a cat. Chances are about even that if Greg is yellow, and Brian is gray, then Bill moved to the garden.
hypothesis: It is impossible that lily is white, and Bill moved to the garden.
valid_hypothesis: It is impossible that lily is white, and Bill moved to the garden.
invalid_hypothesis: Chances are about even that lily is white, and Bill moved to the garden.
hypothesis_assertion: Lily is white, and Bill moved to the garden.