context: It is highly unlikely that Brian is a swan. Chances are about even that Greg is a frog. It is probably not the case that Bernhard is gray. It is highly likely that if Brian is a swan, or Greg is a frog, then Lily is yellow. It is probably the case that if Brian is a swan, or Greg is a frog, then John left the milk. It is unlikely that if either Bernhard is gray, or Brian is a swan, then Bill went to the bedroom.
hypothesis: It is highly unlikely that brian is a swan, and Lily is yellow.
valid_hypothesis: It is highly unlikely that brian is a swan, and Lily is yellow.
invalid_hypothesis: We believe that brian is a swan, and Lily is yellow.
hypothesis_assertion: Brian is a swan, and Lily is yellow.