context: Chances are about even that John took the football. It is highly unlikely that Julius is gray. It is certain that Mary dropped the milk. Chances are slight that if Mary dropped the milk, or John took the football, then Antoine is bored. It is highly likely that if Julius is gray, or Mary dropped the milk, then Bernhard is green. It is highly unlikely that if Julius is gray, or John took the football, then Daniel is in the office.
hypothesis: It is improbable that either Julius is gray, or Antoine is bored.
valid_hypothesis: It is improbable that either Julius is gray, or Antoine is bored.
invalid_hypothesis: It is likely that either Julius is gray, or Antoine is bored.
hypothesis_assertion: Either Julius is gray, or Antoine is bored.