The Collaborative International Dictionary of English v.0.48:

Dispute \Dis*pute"\, v. i. [imp. & p. p. Disputed; p. pr. &
   vb. n. Disputing.] [OE. desputen, disputen, OF. desputer,
   disputer, F. disputer, from L. disputare, disputatum; dis- +
   putare to clean; hence, fig., to clear up, set in order,
   reckon, think. See Putative, Pure.]
   To contend in argument; to argue against something
   maintained, upheld, or claimed, by another; to discuss; to
   reason; to debate; to altercate; to wrangle.
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         Therefore disputed [reasoned, --Rev. Ver.] he in
         synagogue with the Jews.                 --Acts xvii.
                                                  17.
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The Collaborative International Dictionary of English v.0.48:

Dispute \Dis*pute"\, v. t.
   1. To make a subject of disputation; to argue pro and con; to
      discuss.
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            The rest I reserve it be disputed how the magistrate
            is to do herein.                      --Milton.
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   2. To oppose by argument or assertion; to attempt to
      overthrow; to controvert; to express dissent or opposition
      to; to call in question; to deny the truth or validity of;
      as, to dispute assertions or arguments.
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            To seize goods under the disputed authority of writs
            of assistance.                        --Bancroft.
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   3. To strive or contend about; to contest.
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            To dispute the possession of the ground with the
            Spaniards.                            --Prescott.
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   4. To struggle against; to resist. [Obs.]
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            Dispute it [grief] like a man.        --Shak.

   Syn: To controvert; contest; gainsay; doubt; question; argue;
        debate; discuss; impugn. See Argue.
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The Collaborative International Dictionary of English v.0.48:

Dispute \Dis*pute"\, n. [Cf. F. dispute. See Dispute, v. i.]
   1. Verbal controversy; contest by opposing argument or
      expression of opposing views or claims; controversial
      discussion; altercation; debate.
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            Addicted more
            To contemplation and profound dispute. --Milton.
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   2. Contest; struggle; quarrel. --De Foe.
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   Beyond dispute, Without dispute, indisputably;
      incontrovertibly.

   Syn: Altercation; controversy; argumentation; debate;
        discussion; quarrel; disagreement; difference;
        contention; wrangling. See Altercation.
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WordNet (r) 3.0 (2006):

dispute
    n 1: a disagreement or argument about something important; "he
         had a dispute with his wife"; "there were irreconcilable
         differences"; "the familiar conflict between Republicans
         and Democrats" [syn: dispute, difference, difference
         of opinion, conflict]
    2: coming into conflict with [syn: dispute, contravention]
    v 1: take exception to; "She challenged his claims" [syn:
         challenge, dispute, gainsay]
    2: have a disagreement over something; "We quarreled over the
       question as to who discovered America"; "These two fellows
       are always scrapping over something" [syn: quarrel,
       dispute, scrap, argufy, altercate]