UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13G

                    Under the Securities Exchange Act of 1934

                               (Amendment No. 3)*

                                  COPART, INC.
                                (Name of Issuer)

                           Common Stock, no par value
                         (Title of Class of Securities)

                                    217204106
                                 (CUSIP Number)

                                December 31, 2003
             (Date of Event which Requires filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

|_|   Rule 13d-1(b)
|X|   Rule 13d-1(c)
|_|   Rule 13d-1(d)

* The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).



CUSIP No. 217204106

--------------------------------------------------------------------------------
1     NAMES OF REPORTING PERSONS
      I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (entities only)

      Thomas W. Smith
--------------------------------------------------------------------------------
2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                   (a) |_|
                                                                         (b) |X|

--------------------------------------------------------------------------------
3     SEC USE ONLY

--------------------------------------------------------------------------------
4     CITIZEN OR PLACE OF ORGANIZATION

      United States
--------------------------------------------------------------------------------
                      5     SOLE VOTING POWER

     NUMBER OF              2,181,819
      SHARES          ----------------------------------------------------------
   BENEFICIALLY       6     SHARED VOTING POWER
   OWNED BY EACH
     REPORTING              3,390,600
      PERSON          ----------------------------------------------------------
       WITH           7     SOLE DISPOSITIVE POWER

                            2,181,819
                      ----------------------------------------------------------
                      8     SHARED DISPOSITIVE POWER

                            3,390,600
--------------------------------------------------------------------------------
9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

      5,572,419
--------------------------------------------------------------------------------
10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

      Not Applicable
--------------------------------------------------------------------------------
11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

      6.3%
--------------------------------------------------------------------------------
12    TYPE OF REPORTING PERSON

      IN
--------------------------------------------------------------------------------


                                     - 2 -


CUSIP No. 217204106

--------------------------------------------------------------------------------
1     NAMES OF REPORTING PERSONS
      I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (entities only)

      Thomas N. Tryforos
--------------------------------------------------------------------------------
2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                   (a) |_|
                                                                         (b) |X|

--------------------------------------------------------------------------------
3     SEC USE ONLY

--------------------------------------------------------------------------------
4     CITIZEN OR PLACE OF ORGANIZATION

      United States
--------------------------------------------------------------------------------
                      5     SOLE VOTING POWER

     NUMBER OF              5,000
      SHARES          ----------------------------------------------------------
   BENEFICIALLY       6     SHARED VOTING POWER
   OWNED BY EACH
     REPORTING              3,390,600
      PERSON          ----------------------------------------------------------
       WITH           7     SOLE DISPOSITIVE POWER

                            5,000
                      ----------------------------------------------------------
                      8     SHARED DISPOSITIVE POWER

                            3,390,600
--------------------------------------------------------------------------------
9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

      3,395,600
--------------------------------------------------------------------------------
10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

      Not Applicable
--------------------------------------------------------------------------------
11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

      3.8%
--------------------------------------------------------------------------------
12    TYPE OF REPORTING PERSON

      IN
--------------------------------------------------------------------------------


                                     - 3 -


CUSIP No. 217204106

--------------------------------------------------------------------------------
1     NAMES OF REPORTING PERSONS
      I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (entities only)

      Scott J. Vassalluzo
--------------------------------------------------------------------------------
2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                   (a) |_|
                                                                         (b) |X|

--------------------------------------------------------------------------------
3     SEC USE ONLY

--------------------------------------------------------------------------------
4     CITIZEN OR PLACE OF ORGANIZATION

      United States
--------------------------------------------------------------------------------
                      5     SOLE VOTING POWER

     NUMBER OF              22,000
      SHARES          ----------------------------------------------------------
   BENEFICIALLY       6     SHARED VOTING POWER
   OWNED BY EACH
     REPORTING              3,390,600
      PERSON          ----------------------------------------------------------
       WITH           7     SOLE DISPOSITIVE POWER

                            22,000
                      ----------------------------------------------------------
                      8     SHARED DISPOSITIVE POWER

                            3,390,600
--------------------------------------------------------------------------------
9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

      3,412,600
--------------------------------------------------------------------------------
10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

      Not Applicable
--------------------------------------------------------------------------------
11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

      3.8%
--------------------------------------------------------------------------------
12    TYPE OF REPORTING PERSON

      IN
--------------------------------------------------------------------------------


                                     - 4 -


ITEM 1.     (a)   Name of Issuer:

                  Copart, Inc.

            (b)   Address of Issuer's Principal Executive Offices:

                  4665 Business Center Drive
                  Fairfield, CA  94534

ITEM 2.     (a)   Name of Person Filing:

                  (i)   Thomas W. Smith

                  (ii)  Thomas N. Tryforos

                  (iii) Scott J. Vassalluzo

                  The filing of this Statement shall not be deemed to be an
                  admission that the filing persons comprise a "group" within
                  the meaning of Section 13(d)(3) of the Securities Exchange Act
                  of 1934, as amended.

            (b)   Address of Principal Business Office:

                  The following is the address of the principal business office
                  of each of the filing persons:

                  323 Railroad Avenue
                  Greenwich, CT 06830

            (c)   Citizenship:

                  Each of Messrs. Thomas W. Smith, Thomas N. Tryforos and Scott
                  J. Vassalluzo is a United States citizen.

            (d)   Title of Class of Securities:

                  Common Stock, no par value

            (e)   CUSIP Number:

                  217204106

ITEM 3.     If this Statement is filed pursuant to Rules 13d-1(b) or 13d-2(b) or
            (c), check whether the person filing is a:

            Not applicable.

            If this Statement is filed pursuant to Rule 13d-1(c), check this
            box |X|


                                     - 5 -


ITEM 4.     Ownership

            (a)   Thomas W. Smith - 5,572,419 shares; Thomas N. Tryforos -
                  3,395,600 shares; Scott J. Vassalluzo - 3,412,600 shares

            (b)   Thomas W. Smith - 6.3%; Thomas N. Tryforos - 3.8%; Scott J.
                  Vassalluzo - 3.8%

            (c)   Each of Thomas W. Smith, Thomas N. Tryforos and Scott J.
                  Vassalluzo has shared power to vote or to direct the vote and
                  shared power to dispose or to direct the disposition of
                  3,390,600 shares. Thomas W. Smith has sole power to vote and
                  dispose of 2,181,819 shares, Thomas N. Tryforos has sole power
                  to vote and dispose of 5,000 shares and Scott J. Vassalluzo
                  has the sole power to vote and dispose of 22,000 shares.

ITEM 5.     Ownership of Five Percent or Less of a Class

            Not applicable.

ITEM 6.     Ownership of More than Five Percent on Behalf of Another Person

            Not applicable.

ITEM 7.     Identification and Classification of the Subsidiary Which Acquired
            the Security Being Reported on By the Parent Holding Company

            Not applicable.

ITEM 8.     Identification and Classification of Members of the Group

            Not applicable.

ITEM 9.     Notice of Dissolution of Group

            Not applicable.

ITEM 10.    Certification

            By signing below, I certify that, to the best of my knowledge and
            belief, the securities referred to above were not acquired and are
            not held for the purpose of or with the effect of changing or
            influencing the control of the issuer of the securities and were not
            acquired and are not held in connection with or as a participant in
            any transaction having that purpose or effect.


                                     - 6 -


                                    Signature

      After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Date: February 17, 2004


                                                  /s/ Thomas W. Smith
                                           -------------------------------------
                                                    Thomas W. Smith


                                                  /s/ Thomas N. Tryforos
                                           -------------------------------------
                                                    Thomas N. Tryforos


                                                  /s/ Scott J. Vassalluzo
                                           -------------------------------------
                                                    Scott J. Vassalluzo


                                     - 7 -


                             JOINT FILING AGREEMENT

      The undersigned agree that the foregoing Statement on Schedule 13G, dated
February 17, 2004, is being filed with the Securities and Exchange Commission on
behalf of each of the undersigned pursuant to Rule 13d-1(k)

Dated: February 17, 2004


                                                  /s/ Thomas W. Smith
                                           -------------------------------------
                                                    Thomas W. Smith


                                                  /s/ Thomas N. Tryforos
                                           -------------------------------------
                                                    Thomas N. Tryforos


                                                  /s/ Scott J. Vassalluzo
                                           -------------------------------------
                                                    Scott J. Vassalluzo


                                     - 8 -