context: There is a very good chance that Yann is tired. Chances are about even that John picked up the apple. There is a very good chance that Greg is white. It is impossible that if Yann is tired, and John picked up the apple, then Bill dropped the milk. It is probable that if Greg is white, and John picked up the apple, then Lily is a swan. It is improbable that if either John picked up the apple, or Yann is tired, then Bernhard is a rhino.
hypothesis: It is probably not the case that greg is white, and Lily is a swan.
valid_hypothesis: It is probably not the case that greg is white, and Lily is a swan.
invalid_hypothesis: It is almost certain that greg is white, and Lily is a swan.
hypothesis_assertion: Greg is white, and Lily is a swan.