context: It is probably not the case that Julius is gray. There is a better than even chance that John took the milk. There is a better than even chance that Lily is yellow.
hypothesis: It is probably not the case that lily is yellow, and John took the milk.
valid_hypothesis: It is probably not the case that lily is yellow, and John took the milk.
invalid_hypothesis: It is highly likely that lily is yellow, and John took the milk.
hypothesis_assertion: Lily is yellow, and John took the milk.