The Collaborative International Dictionary of English v.0.48:

Conflict \Con*flict"\, v. i. [imp. & p. p. Conflicted; p. pr.
   & vb. n. Conflicting.] [L. conflictus, p. p. of confligere
   to conflict (cf. conflictare); con- + fligere to strike; cf.
   Gr. fli`bein, qli`bein, to press, L. flagrum whip.]
   1. To strike or dash together; to meet in violent collision;
      to collide. --Shak.
      [1913 Webster]

            Fire and water conflicting together.  --Bacon.
      [1913 Webster]

   2. To maintain a conflict; to contend; to engage in strife or
      opposition; to struggle.
      [1913 Webster]

            A man would be content to . . . conflict with great
            difficulties, in hopes of a mighty reward. --Abp.
                                                  Tillotson.
      [1913 Webster]

   3. To be in opposition; to be contradictory.
      [1913 Webster]

            The laws of the United States and of the individual
            States may, in some cases, conflict with each other.
                                                  --Wheaton.

   Syn: To fight; contend; contest; resist; struggle; combat;
        strive; battle.
        [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Conflicting \Con*flict"ing\, a.
   1. Being in conflict or collision, or in opposition;
      contending; contradictory; incompatible; contrary;
      opposing; marked by discord.

   Syn: antagonistic, at odds(predicate), clashing.
        [1913 Webster + WordNet 1.5]

              Torn with sundry conflicting passions. --Bp. Hurd.
        [1913 Webster]

   2. in disagreement; -- of facts or theories.

   Syn: at odds(predicate), contradictory, self-contradictory.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

conflicting
    adj 1: 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]
    2: on bad terms; "they were usually at odds over politics";
       "conflicting opinions"

Moby Thesaurus II by Grady Ward, 1.0:

134 Moby Thesaurus words for "conflicting":
   acrid, adversary, adversative, adverse, adversive, ajar, alien,
   antagonistic, anti, antipathetic, antithetic, antonymous,
   at cross-purposes, balancing, belligerent, bitter, breakaway,
   caustic, clashing, colliding, compensating, competitive, con,
   confronting, confused, contradicting, contradictory,
   contradistinct, contrapositive, contrarious, contrary, contrasted,
   converse, counter, counteractant, counteracting, counteractive,
   counterbalancing, counterpoised, countervailing, counterworking,
   cranky, cross, crotchety, dead against, despiteful, detrimental,
   differing, difficult, disaccordant, disagreeing, disconsonant,
   discordant, discrepant, disharmonious, dissentient, dissident,
   dissonant, enemy, eyeball to eyeball, fractious, full of hate,
   grating, hard, harmful, harsh, hateful, hostile, in opposition,
   incompatible, incongruent, incongruous, inconsistent, inharmonious,
   inimical, inverse, jangling, jangly, jarring, jostling, malevolent,
   malicious, malignant, miserable, negative, nonconformist,
   noncooperative, not easy, obstinate, obverse, off-color, off-tone,
   opponent, opposed, opposing, opposite, oppositional, oppositive,
   oppugnant, out of accord, overthwart, perverse, quarrelsome,
   rancorous, reactionary, recalcitrant, refractory, renitent,
   repugnant, resistant, reverse, revolutionary, rigorous, rival,
   set against, sinister, sore, spiteful, squared off, stressful,
   troublesome, troublous, trying, uncooperative, unfavorable,
   unfriendly, unharmonious, unpropitious, untoward, venomous,
   virulent, vitriolic, warring, wretched