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Adjective: self-contradictory  self ,kón-tru'dik-tu-ree
  1. Seemingly contradictory but nonetheless possibly true
    "His self-contradictory statement confused the audience";
    - paradoxical
     
  2. In disagreement
    "His self-contradictory statements confused the audience";
    - at odds, conflicting, contradictory

See also: incomprehensible, inconsistent, inexplicable

Encyclopedia: Self-contradictory