context: It is certain that Brian is gray. It is probably not the case that Mary got the football. We believe that Lily is white. There is almost no chance that if Brian is gray, and Lily is white, then John went to the hallway. It is almost certain that if either Mary got the football, or Lily is white, then Greg is a swan. There is a better than even chance that if either Brian is gray, or Lily is white, then Julius is a swan.
hypothesis: We doubt that either Brian is gray, or Julius is a swan.
valid_hypothesis: There is a very good chance that either Brian is gray, or Julius is a swan.
invalid_hypothesis: We doubt that either Brian is gray, or Julius is a swan.
hypothesis_assertion: Either Brian is gray, or Julius is a swan.