context: We doubt that Sandra left the milk. There is a better than even chance that Lily is a swan. We believe that John got the milk. Chances are about even that if John got the milk, or Lily is a swan, then Gertrude is a wolf. Chances are about even that if either Sandra left the milk, or Lily is a swan, then Julius is yellow. There is a better than even chance that if John got the milk, or Lily is a swan, then Bernhard is a lion.
hypothesis: It is impossible that either Julius is yellow, or Lily is a swan.
valid_hypothesis: Chances are about even that either Julius is yellow, or Lily is a swan.
invalid_hypothesis: It is impossible that either Julius is yellow, or Lily is a swan.
hypothesis_assertion: Either Julius is yellow, or Lily is a swan.