Source : Webster's Revised Unabridged Dictionary (1913)

Self-contradictory \Self`-con`tra*dict"o*ry\, a.
   Contradicting one's self or itself.

Source : WordNet®

self-contradictory
     adj 1: seemingly contradictory but nonetheless possibly true; "it
            is paradoxical that standing is more tiring than
            walking" [syn: {paradoxical}]
     2: in disagreement; "the figures are at odds with our
        findings"; "contradictory attributes of unjust justice and
        loving vindictiveness"- John Morley [syn: {at odds(p)}, {conflicting},
         {contradictory}]