context: Chances are about even that Mary went to the office. It is likely that Lily is a lion. It is highly unlikely that Sandra took the football. It is probable that if Lily is a lion, and Mary went to the office, then Gertrude is a cat. It is almost certain that if Sandra took the football, and Lily is a lion, then Greg is white. There is a better than even chance that if Sandra took the football, or Lily is a lion, then Daniel left the milk.
hypothesis: It is impossible that daniel left the milk, and Lily is a lion.
valid_hypothesis: Chances are about even that daniel left the milk, and Lily is a lion.
invalid_hypothesis: It is impossible that daniel left the milk, and Lily is a lion.
hypothesis_assertion: Daniel left the milk, and Lily is a lion.