context: It is probably the case that Fred discarded the milk. It is certain that John went to the hallway. It is probably not the case that Julius is gray.
hypothesis: It is probably not the case that either John went to the hallway, or Fred discarded the milk.
valid_hypothesis: It is probably not the case that either John went to the hallway, or Fred discarded the milk.
invalid_hypothesis: There is a very good chance that either John went to the hallway, or Fred discarded the milk.
hypothesis_assertion: Either John went to the hallway, or Fred discarded the milk.