context: It is unlikely that Bernhard is a frog. It is certain that Mary took the apple. It is almost certain that Brian is green. Chances are slight that if either Mary took the apple, or Bernhard is a frog, then Lily is white. We believe that if Mary took the apple, and Bernhard is a frog, then John got the football. It is probably the case that if Brian is green, or Mary took the apple, then Bill is in the school.
hypothesis: Chances are about even that john got the football, and Lily is white.
valid_hypothesis: It is impossible that john got the football, and Lily is white.
invalid_hypothesis: Chances are about even that john got the football, and Lily is white.
hypothesis_assertion: John got the football, and Lily is white.