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In this article we show that the three-particle GHZ theorem can be reformulated in terms of inequalities, allowing imperfect correlations due to detector inefficiencies. We show quantitatively that taking into accout those inefficiencies, the published results of the Innsbruck experiment support the nonexistence of local hidden variables that explain the experimental result.doi:10.1103/physrevlett.84.793 pmid:11017375 fatcat:sw7i73xtwrej5dockhpqygfgpy