self-contradictory
1. [ adjective ] seemingly contradictory but nonetheless possibly true
Synonyms: paradoxical
Examples:

"it is paradoxical that standing is more tiring than walking"

Related terms: inexplicable
2. [ adjective ] in disagreement
Synonyms: conflicting at_odds contradictory
Examples:

"the figures are at odds with our findings" "contradictory attributes of unjust justice and loving vindictiveness"- John Morley

Related terms: inconsistent
Similar spelling:   self-consciously
  self-consistent
  self-contemplation
  self-consciousness