context: It is impossible that Bernhard is white. It is highly likely that Mary dropped the milk. It is probable that Bill is in the school. It is probably the case that if Bill is in the school, or Mary dropped the milk, then Brian is a frog. It is improbable that if Bill is in the school, and Bernhard is white, then John moved to the garden. There is little chance that if Bernhard is white, and Bill is in the school, then Lily is gray.
hypothesis: It is impossible that lily is gray, and Bernhard is white.
valid_hypothesis: It is impossible that lily is gray, and Bernhard is white.
invalid_hypothesis: There is a better than even chance that lily is gray, and Bernhard is white.
hypothesis_assertion: Lily is gray, and Bernhard is white.