context: It is highly unlikely that Mary picked up the milk. It is highly unlikely that Lily is green. It is impossible that Emily is a wolf. It is highly likely that if Emily is a wolf, or Mary picked up the milk, then Daniel dropped the apple. It is improbable that if Lily is green, or Emily is a wolf, then Brian is yellow. It is highly unlikely that if either Lily is green, or Mary picked up the milk, then Bill went to the hallway.
hypothesis: It is highly unlikely that bill went to the hallway, or Lily is green.
valid_hypothesis: It is highly unlikely that bill went to the hallway, or Lily is green.
invalid_hypothesis: There is a better than even chance that bill went to the hallway, or Lily is green.
hypothesis_assertion: Bill went to the hallway, or Lily is green.