context: It is almost certain that Greg is a swan. Chances are slight that John discarded the milk. It is almost certain that Daniel took the apple. It is almost certain that if either John discarded the milk, or Daniel took the apple, then Lily is a lion. It is certain that if John discarded the milk, and Daniel took the apple, then Brian is yellow. It is likely that if either Greg is a swan, or John discarded the milk, then Bernhard is a frog.
hypothesis: It is impossible that john discarded the milk, and Lily is a lion.
valid_hypothesis: It is impossible that john discarded the milk, and Lily is a lion.
invalid_hypothesis: Chances are about even that john discarded the milk, and Lily is a lion.
hypothesis_assertion: John discarded the milk, and Lily is a lion.