context: It is probably the case that John took the milk. It is likely that Lily is white. It is highly likely that Sandra left the football.
hypothesis: It is probably not the case that either John took the milk, or Sandra left the football.
valid_hypothesis: It is probably not the case that either John took the milk, or Sandra left the football.
invalid_hypothesis: It is probable that either John took the milk, or Sandra left the football.
hypothesis_assertion: Either John took the milk, or Sandra left the football.