context: There is a very good chance that John left the football. It is improbable that Bernhard is a swan. There is almost no chance that Bill moved to the office. It is unlikely that if John left the football, and Bernhard is a swan, then Mary went to the office. It is highly unlikely that if Bill moved to the office, or Bernhard is a swan, then Julius is a frog. There is a better than even chance that if John left the football, and Bill moved to the office, then Lily is yellow.
hypothesis: It is certain that lily is yellow, or Mary went to the office.
valid_hypothesis: There is almost no chance that lily is yellow, or Mary went to the office.
invalid_hypothesis: It is certain that lily is yellow, or Mary went to the office.
hypothesis_assertion: Lily is yellow, or Mary went to the office.