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This paper investigates the computational complexity of deciding if a given finite idempotent algebra has a ternary term operation 
$m$ that satisfies the minority equations 
$m(y,x,x)\approx m(x,y,x)\approx m(x,x,y)\approx y$. We show that a common polynomial-time approach to testing for this type of condition will not work in this case and that this decision problem lies in the class
