context: It is likely that Greg is a lion. It is highly unlikely that John left the milk. It is improbable that Lily is white. Chances are about even that if Greg is a lion, or John left the milk, then Mary went to the kitchen. It is probable that if Lily is white, and John left the milk, then Bernhard is gray. Chances are about even that if Greg is a lion, or John left the milk, then Julius is a rhino.
hypothesis: It is probably not the case that either Bernhard is gray, or Mary went to the kitchen.
valid_hypothesis: It is probably not the case that either Bernhard is gray, or Mary went to the kitchen.
invalid_hypothesis: It is highly likely that either Bernhard is gray, or Mary went to the kitchen.
hypothesis_assertion: Either Bernhard is gray, or Mary went to the kitchen.