context: We believe that Lily is yellow. There is little chance that Daniel took the football. It is likely that Mary got the apple. Chances are slight that if Daniel took the football, and Lily is yellow, then John left the apple. It is impossible that if Mary got the apple, or Daniel took the football, then Greg is gray. It is probably not the case that if Lily is yellow, and Daniel took the football, then Emily is a sheep.
hypothesis: There is a very good chance that either Daniel took the football, or John left the apple.
valid_hypothesis: Chances are slight that either Daniel took the football, or John left the apple.
invalid_hypothesis: There is a very good chance that either Daniel took the football, or John left the apple.
hypothesis_assertion: Either Daniel took the football, or John left the apple.