context: It is probable that Lily is white. There is a better than even chance that Winona is a cat. It is certain that Mary went to the office. It is certain that if Mary went to the office, or Winona is a cat, then Bernhard is white. It is probable that if Lily is white, and Mary went to the office, then Greg is gray. It is almost certain that if Lily is white, or Mary went to the office, then John took the apple.
hypothesis: It is improbable that john took the apple, or Mary went to the office.
valid_hypothesis: It is certain that john took the apple, or Mary went to the office.
invalid_hypothesis: It is improbable that john took the apple, or Mary went to the office.
hypothesis_assertion: John took the apple, or Mary went to the office.