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I show that the CP-violating asymmetry in K^0 vs \bar{K}^0 \to\pi^+\pi^-\pi^0 decays differs from that in K_L \to \pi^+\pi^-, K_L \to\pi^0\pi^0 or the semileptonic K_L transitions, if there exists CPT violationin K^0-\bar{K}^0 mixing. A delicate measurement of this difference at a superflavor factory (e.g., the \phi factory) will provide us with a robust test ofCPT symmetry in the neutral kaon system.

A Test of CPT Symmetry in K^0 vs \bar{K}^0 to \pi^+\pi^-\pi^0 Decays