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We analyze CP violation in supersymmetric extensions of the Standard Model with heavy scalar fermions of the first two generations. Neglecting intergenerational mixing in the sfermion mass matrices and thus considering only chargino, charged Higgs and W-boson diagrams we show that it is possible to fully account for CP violation in the kaon system even in the absence of the standard CKM phase. This opens new possibilities for large supersymmetric contributions to CP violation in the B system.