context: It is probably not the case that Sandra took the apple. It is unlikely that John put down the milk. It is impossible that Mary is in the garden. There is almost no chance that if John put down the milk, or Sandra took the apple, then Bernhard is a frog. It is highly unlikely that if either John put down the milk, or Sandra took the apple, then Bill went to the kitchen. Chances are about even that if John put down the milk, or Sandra took the apple, then Lily is white.
hypothesis: It is almost certain that bill went to the kitchen, or Sandra took the apple.
valid_hypothesis: It is probably not the case that bill went to the kitchen, or Sandra took the apple.
invalid_hypothesis: It is almost certain that bill went to the kitchen, or Sandra took the apple.
hypothesis_assertion: Bill went to the kitchen, or Sandra took the apple.