context: It is unlikely that Antoine is bored. We believe that John went to the hallway. It is probably the case that Brian is a frog. There is a very good chance that if John went to the hallway, and Brian is a frog, then Lily is white. There is almost no chance that if either Brian is a frog, or Antoine is bored, then Daniel got the football. It is improbable that if Brian is a frog, and Antoine is bored, then Mary is in the park.
hypothesis: It is impossible that antoine is bored, and Daniel got the football.
valid_hypothesis: It is impossible that antoine is bored, and Daniel got the football.
invalid_hypothesis: It is highly likely that antoine is bored, and Daniel got the football.
hypothesis_assertion: Antoine is bored, and Daniel got the football.