context: It is unlikely that Bill went to the kitchen. We believe that Julius is gray. Chances are slight that Lily is white. It is improbable that if Lily is white, and Julius is gray, then Mary left the football. It is likely that if either Julius is gray, or Bill went to the kitchen, then Brian is white. Chances are about even that if Lily is white, and Bill went to the kitchen, then Bernhard is gray.
hypothesis: It is probable that either Mary left the football, or Bill went to the kitchen.
valid_hypothesis: It is unlikely that either Mary left the football, or Bill went to the kitchen.
invalid_hypothesis: It is probable that either Mary left the football, or Bill went to the kitchen.
hypothesis_assertion: Either Mary left the football, or Bill went to the kitchen.