context: Chances are about even that John discarded the milk. It is likely that Lily is gray. There is almost no chance that Mary went to the bedroom. It is impossible that if Lily is gray, or John discarded the milk, then Julius is yellow. Chances are slight that if Mary went to the bedroom, and John discarded the milk, then Bernhard is white. There is a better than even chance that if Mary went to the bedroom, or John discarded the milk, then Brian is green.
hypothesis: Chances are about even that either Julius is yellow, or Bernhard is white.
valid_hypothesis: It is impossible that either Julius is yellow, or Bernhard is white.
invalid_hypothesis: Chances are about even that either Julius is yellow, or Bernhard is white.
hypothesis_assertion: Either Julius is yellow, or Bernhard is white.