context: We believe that Lily is white. It is probably not the case that Julius is green. We doubt that Bernhard is a swan. There is a very good chance that if either Lily is white, or Julius is green, then Mary went to the garden. It is impossible that if either Bernhard is a swan, or Lily is white, then Sandra grabbed the apple. It is likely that if Julius is green, and Lily is white, then Bill is in the school.
hypothesis: There is little chance that julius is green, and Bill is in the school.
valid_hypothesis: There is little chance that julius is green, and Bill is in the school.
invalid_hypothesis: There is a very good chance that julius is green, and Bill is in the school.
hypothesis_assertion: Julius is green, and Bill is in the school.