Synonyms of self contradictory

Adjective

1. paradoxical, self-contradictory, inexplicable (vs. explicable), incomprehensible

usage: seemingly contradictory but nonetheless possibly true; "it is paradoxical that standing is more tiring than walking"

2. at odds(predicate), conflicting, contradictory, self-contradictory, inconsistent (vs. consistent)

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