If one can get fast answers from an oracle (which was not the case in the contest), then maybe eventually, one will obtain a song where the mark cannot be detected anymore. It is in fact possible to work with a kind of dichotomy: one can very strongly degrade a song to obtain an unmarked version and try to find a song in the middle which would have the properties of not carrying the mark and yielding an acceptable quality.
Clearly, one might need a huge amount of trials before succeeding, and the quality of the final result is not guaranteed.