context: It is impossible that Lily is a swan. It is impossible that Julius is gray. It is highly unlikely that Greg is a rhino. Chances are about even that if Lily is a swan, or Julius is gray, then Bernhard is a frog. It is probably not the case that if Lily is a swan, and Greg is a rhino, then Mary took the apple. We doubt that if Greg is a rhino, and Julius is gray, then John went to the garden.
hypothesis: It is impossible that either Julius is gray, or John went to the garden.
valid_hypothesis: It is impossible that either Julius is gray, or John went to the garden.
invalid_hypothesis: There is a better than even chance that either Julius is gray, or John went to the garden.
hypothesis_assertion: Either Julius is gray, or John went to the garden.