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Adjective: unreformable  ,ún-ri'for-mu-bul
  1. Unrepentant and incapable of being reformed
    "an unreformable criminal";
    - unregenerate
     
  2. Insusceptible of reform
    "vicious unreformable boys";
    - irreclaimable, irredeemable, unredeemable

See also: incorrigible, irreformable, wicked