$ 3\cos(\frac{1}{3})^{\cos(\frac{1}{3})^{\cos(\frac{1}{3})}}\geq\cos(a)^{\cos(b)^{\cos(c)}}+\cos(c)^{\cos(a)^{\cos(b)}}+\cos(b)^{\cos(c)^{\cos(a)}}\geq 2+\cos(1) $

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