context: It is likely that Brian is gray. We doubt that Sandra took the football. There is a better than even chance that Fred discarded the milk. There is a very good chance that if Brian is gray, and Sandra took the football, then Bernhard is a swan. It is probably not the case that if Fred discarded the milk, or Sandra took the football, then Julius is white. It is impossible that if either Brian is gray, or Sandra took the football, then Mary went to the kitchen.
hypothesis: We doubt that mary went to the kitchen, or Julius is white.
valid_hypothesis: We doubt that mary went to the kitchen, or Julius is white.
invalid_hypothesis: There is a very good chance that mary went to the kitchen, or Julius is white.
hypothesis_assertion: Mary went to the kitchen, or Julius is white.