context: We doubt that Lily is green. There is a very good chance that Jeff went to the kitchen. It is unlikely that Greg is gray. There is a better than even chance that if Lily is green, and Jeff went to the kitchen, then Sandra took the milk. It is probably not the case that if Lily is green, or Greg is gray, then Mary got the football. We doubt that if either Jeff went to the kitchen, or Greg is gray, then Bernhard is white.
hypothesis: It is impossible that either Sandra took the milk, or Jeff went to the kitchen.
valid_hypothesis: It is probable that either Sandra took the milk, or Jeff went to the kitchen.
invalid_hypothesis: It is impossible that either Sandra took the milk, or Jeff went to the kitchen.
hypothesis_assertion: Either Sandra took the milk, or Jeff went to the kitchen.