context: It is highly likely that John picked up the milk. It is probably not the case that Fred went to the hallway. Chances are slight that Daniel took the football. There is a better than even chance that if either Daniel took the football, or John picked up the milk, then Jessica is a sheep. It is probable that if Daniel took the football, or Fred went to the hallway, then Julius is a rhino. Chances are about even that if Daniel took the football, or John picked up the milk, then Bernhard is yellow.
hypothesis: It is almost certain that either Fred went to the hallway, or Daniel took the football.
valid_hypothesis: It is probably not the case that either Fred went to the hallway, or Daniel took the football.
invalid_hypothesis: It is almost certain that either Fred went to the hallway, or Daniel took the football.
hypothesis_assertion: Either Fred went to the hallway, or Daniel took the football.