What chants is saying, is that you can't derive the algorithm from 4 challenge-response combinations.
Even if you had a lot more combinations of challenge-response codes, it would probably be difficult to deduce the formula.
The formula chants provided works with the four combinations you provided. It does not mean that it is the formula that originally gave them. This means that if you had a fifth pair of challenge-response codes, the output derived from chant's formula would almost certainly mismatch the responce code of your black-box.
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