context: Chances are about even that John left the football. There is almost no chance that Bernhard is green. It is unlikely that Daniel got the apple. It is impossible that if Bernhard is green, or Daniel got the apple, then Lily is a rhino. We doubt that if Daniel got the apple, or Bernhard is green, then Bill went to the office. It is probable that if Bernhard is green, or Daniel got the apple, then Brian is a swan.
hypothesis: It is impossible that either John left the football, or Bill went to the office.
valid_hypothesis: Chances are about even that either John left the football, or Bill went to the office.
invalid_hypothesis: It is impossible that either John left the football, or Bill went to the office.
hypothesis_assertion: Either John left the football, or Bill went to the office.