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Adjective: unclimbable  ,ún'klI-mu-bul
  1. Incapable of being ascended
    "The sheer cliff face proved unclimbable for the novice climbers";
    - unscalable
     
  2. Incapable of being surmounted or climbed
    "The unclimbable peak had never been conquered";
    - unsurmountable

See also: impassable, unpassable

Antonym: scalable