context: Chances are slight that Julius is gray. There is a very good chance that Mary went to the kitchen. It is improbable that Jessica is a cat. There is a better than even chance that if either Jessica is a cat, or Mary went to the kitchen, then John discarded the apple. We believe that if Jessica is a cat, and Mary went to the kitchen, then Bernhard is yellow. We believe that if Mary went to the kitchen, and Jessica is a cat, then Lily is white.
hypothesis: It is impossible that lily is white, and Julius is gray.
valid_hypothesis: It is impossible that lily is white, and Julius is gray.
invalid_hypothesis: Chances are about even that lily is white, and Julius is gray.
hypothesis_assertion: Lily is white, and Julius is gray.