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Adjective: unassailable  ,ún-u'sey-lu-bul
  1. Impossible to challenge successfully
    "The champion's record seemed unassailable";
    - untouchable
     
  2. Immune to attack; incapable of being tampered with
    "an unassailable fortress";
    - impregnable [rare], inviolable, secure, strong, unattackable
     
  3. Without flaws or loopholes
    "Her unassailable logic won the debate";
    - unshakable, watertight, bulletproof, ironclad, unshakeable

See also: incontestable, incontestible, inviolable, invulnerable, irrefrangible