context: There is almost no chance that John put down the milk. There is a better than even chance that Lily is a frog. We believe that Bill went to the bedroom. It is likely that if Bill went to the bedroom, and John put down the milk, then Mary picked up the apple. There is a better than even chance that if either John put down the milk, or Lily is a frog, then Brian is a swan. It is probably not the case that if either Bill went to the bedroom, or John put down the milk, then Julius is gray.
hypothesis: We believe that bill went to the bedroom, and Julius is gray.
valid_hypothesis: It is unlikely that bill went to the bedroom, and Julius is gray.
invalid_hypothesis: We believe that bill went to the bedroom, and Julius is gray.
hypothesis_assertion: Bill went to the bedroom, and Julius is gray.