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We show that a recent observation by Yan leads to a method to experimentallytest whether a higher-than-quantum violation of the Clauser-Horne-Shimony-HoltBell inequality is possible (assuming that the sum of probabilities of pairwiseexclusive propositions cannot exceed 1). The test requires reaching the maximumquantum violation of a noncontextuality inequality involving sequences of threecompatible measurements on a five-dimensional quantum system.

Proposed experiment to exclude higher-than-quantum violations of the Bell inequality