premise: A bird sanctuary contains birds of at least two of the following six kinds—kingfishers, mynas, peacocks, robins, sparrows, and woodpeckers. No other kinds of birds are in the sanctuary. The following conditions must hold: Woodpeckers are not in the sanctuary if mynas are. Peacocks are not in the sanctuary if robins are. Either robins or woodpeckers, but not both, are in the sanctuary. Woodpeckers are in the sanctuary if kingfishers, sparrows, or both are in the sanctuary If both kingfishers and sparrows are in the sanctuary, then each of the following could be true EXCEPT:
hypothesis: Exactly three kinds of birds are in the sanctuary.