context: Chances are about even that Mary dropped the apple. It is probably the case that Bill went to the hallway. We doubt that Daniel left the football. We doubt that if either Daniel left the football, or Bill went to the hallway, then John moved to the garden. It is almost certain that if Mary dropped the apple, or Daniel left the football, then Lily is a swan. There is a very good chance that if either Mary dropped the apple, or Daniel left the football, then Julius is green.
hypothesis: It is impossible that either Bill went to the hallway, or Lily is a swan.
valid_hypothesis: Chances are about even that either Bill went to the hallway, or Lily is a swan.
invalid_hypothesis: It is impossible that either Bill went to the hallway, or Lily is a swan.
hypothesis_assertion: Either Bill went to the hallway, or Lily is a swan.