context: It is probably not the case that Julius is white. It is probably not the case that Bernhard is green. It is highly unlikely that Greg is yellow. We believe that if either Bernhard is green, or Julius is white, then Lily is gray. Chances are slight that if either Greg is yellow, or Julius is white, then John went to the kitchen. There is little chance that if either Bernhard is green, or Julius is white, then Daniel got the milk.
hypothesis: It is certain that lily is gray, or Bernhard is green.
valid_hypothesis: Chances are about even that lily is gray, or Bernhard is green.
invalid_hypothesis: It is certain that lily is gray, or Bernhard is green.
hypothesis_assertion: Lily is gray, or Bernhard is green.