The Collaborative International Dictionary of English v.0.48:

Self-contradictory \Self`-con`tra*dict"o*ry\, a.
   Contradicting one's self or itself.
   [1913 Webster]

WordNet (r) 3.0 (2006):

self-contradictory
    adj 1: seemingly contradictory but nonetheless possibly true;
           "it is paradoxical that standing is more tiring than
           walking" [syn: paradoxical, self-contradictory]
    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, self-contradictory]

Moby Thesaurus II by Grady Ward, 1.0:

104 Moby Thesaurus words for "self-contradictory":
   aberrant, abnormal, abroad, absonant, absurd, adrift, all abroad,
   all off, all wrong, ambiguous, ambivalent, amiss, anomalous,
   antinomic, askew, astray, at fault, awry, barred, beside the mark,
   closed-out, contradictory, contrary to reason, corrupt, deceptive,
   defective, delusive, deviant, deviational, deviative,
   disproportionate, distorted, equivocal, errant, erring, erroneous,
   excluded, fallacious, false, faultful, faulty, flawed, heretical,
   heterodox, hopeless, illogical, illusory, impossible, inauthentic,
   incoherent, incommensurable, incommensurate, incompatible,
   inconceivable, inconclusive, incongruous, inconsequent,
   inconsequential, inconsistent, inconsonant, invalid, ironic,
   irrational, irreconcilable, logically impossible, loose,
   nonscientific, not following, not possible, not right, not true,
   off, off the track, out, out of proportion, oxymoronic,
   paradoxical, paralogical, peccant, perverse, perverted,
   preposterous, prohibited, reasonless, ridiculous, ruled-out,
   self-annulling, self-refuting, senseless, straying, unauthentic,
   unconnected, unfactual, unimaginable, unorthodox, unphilosophical,
   unproved, unreasonable, unscientific, unthinkable, untrue, wide,
   without reason, wrong