context: It is highly likely that John took the apple. There is a very good chance that Julius is white. Chances are about even that Mary went to the kitchen. We believe that if either Julius is white, or Mary went to the kitchen, then Greg is a swan. It is highly likely that if John took the apple, and Mary went to the kitchen, then Lily is yellow. We believe that if either John took the apple, or Julius is white, then Winona is a sheep.
hypothesis: It is certain that lily is yellow, or Mary went to the kitchen.
valid_hypothesis: Chances are about even that lily is yellow, or Mary went to the kitchen.
invalid_hypothesis: It is certain that lily is yellow, or Mary went to the kitchen.
hypothesis_assertion: Lily is yellow, or Mary went to the kitchen.