context: It is highly unlikely that Bernhard is gray. There is almost no chance that Brian is gray. It is likely that Lily is a frog. It is unlikely that if either Lily is a frog, or Bernhard is gray, then Julius is white. There is a better than even chance that if Lily is a frog, and Bernhard is gray, then Daniel took the milk. It is likely that if either Lily is a frog, or Brian is gray, then John moved to the office.
hypothesis: It is certain that daniel took the milk, or John moved to the office.
valid_hypothesis: Chances are about even that daniel took the milk, or John moved to the office.
invalid_hypothesis: It is certain that daniel took the milk, or John moved to the office.
hypothesis_assertion: Daniel took the milk, or John moved to the office.