context: We doubt that John picked up the apple. Chances are about even that Greg is gray. It is certain that Mary put down the milk. We believe that if either John picked up the apple, or Greg is gray, then Bernhard is a swan. It is highly likely that if either John picked up the apple, or Greg is gray, then Julius is a frog. It is probable that if Greg is gray, or Mary put down the milk, then Lily is white.
hypothesis: It is impossible that lily is white, or Bernhard is a swan.
valid_hypothesis: There is a very good chance that lily is white, or Bernhard is a swan.
invalid_hypothesis: It is impossible that lily is white, or Bernhard is a swan.
hypothesis_assertion: Lily is white, or Bernhard is a swan.