context: There is almost no chance that Brian is gray. It is improbable that Lily is white. We believe that John dropped the apple. It is improbable that if Lily is white, and John dropped the apple, then Daniel is in the office. There is a better than even chance that if either Brian is gray, or Lily is white, then Mary left the milk. It is impossible that if Brian is gray, or Lily is white, then Sandra got the football.
hypothesis: It is impossible that brian is gray, and Daniel is in the office.
valid_hypothesis: It is impossible that brian is gray, and Daniel is in the office.
invalid_hypothesis: It is highly likely that brian is gray, and Daniel is in the office.
hypothesis_assertion: Brian is gray, and Daniel is in the office.