self-contradictory \self`-con`tradict"ory\, a.
   contradicting one's self or itself.
   1913 webster

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 oddsp, conflicting,
         contradictory
see also:
paradoxical at oddsp conflicting contradictory 

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