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                                                                    EXHIBIT 10.4

THESE SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED UNDER THE
SECURITIES ACT OF 1933, AS AMENDED. SUCH SECURITIES MAY NOT BE TRANSFERRED,
UNLESS A REGISTRATION STATEMENT UNDER THE ACT IS IN EFFECT AS TO SUCH TRANSFER
OR, IN THE OPINION OF COUNSEL TO THE ISSUER, AN EXEMPTION FROM REGISTRATION IS
THEN AVAILABLE.

                                     WARRANT

          VOID AFTER 5:00 P.M., California Time, on September 29, 2005

                        WARRANT TO PURCHASE COMMON STOCK
                                       OF
                                INTELLICORP, INC.

        This is to certify that subject to the terms and conditions hereof, FOR
VALUE RECEIVED, _____________ (the "Initial Holder") or registered assigns
(collectively referred to as the "Holder") is entitled to purchase, at an
exercise price per share of $2.00 (the "Exercise Price"), _______ shares (the
"Warrant Shares") of the Common Stock (the "Common Stock") of IntelliCorp, Inc.,
a Delaware corporation (the "Company"), at any time during the period from
September 29, 2000 (the "Commencement Date") to 5:00 P.M., California Time, on
September 29, 2005, at which time this Warrant will expire and become void. The
following terms shall apply to this Warrant:

        1. Exercise of Warrant, Reservation of Shares.

               1.1. Subject to the terms and conditions hereof, this Warrant may
be exercised in whole or in part at any time and from time to time on or after
the Commencement Date, and before 5:00 P.M., California Time, on September 29,
2005, or if such day is a day on which federal or state chartered bank
institutions located in the State of California are authorized by law to close,
then on the next succeeding day which shall not be such a day, by presentation
and surrender hereof to the Company at its principal office or at the office of
its warrant transfer agent, if any, with the attached Purchase Form duly
executed and accompanied by payment, in cash or certified or official bank check
payable to the order of the Company, of the Exercise Price for the number of
Warrant Shares specified in such form. If this Warrant should be exercised in
part only, the Company will, upon presentation of this Warrant upon such
exercise, execute and deliver a new warrant, dated the date hereof, evidencing
the rights of the Holder thereof to purchase the balance of the Warrant Shares
purchasable hereunder upon the same terms and conditions as herein set forth.
Upon and as of such receipt of this Warrant and the Purchase Form by the Company
at its office, in proper form for exercise and accompanied by payment as herein
provided, the Holder shall be deemed to be the

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holder of record of the Warrant Shares issuable upon such exercise,
notwithstanding that the stock transfer books of the Company shall then be
closed or that certificates representing the Warrant Shares shall not then be
actually delivered to the Holder. The Company shall promptly take such
reasonable steps as it deems necessary in order to issue the Warrant Shares to
be delivered following exercise of this Warrant.

               1.2. Net Issue Exercise of Warrant. Notwithstanding any
provisions herein to the contrary, if the fair market value of one share of
Common Stock is greater than the Exercise Price (at the date of calculation as
set forth below), in lieu of exercising this Warrant for cash, Holder may elect
to receive shares of Common Stock equal to the value (as determined below) of
this Warrant (or the portion thereof being canceled) by surrender of this
Warrant at the principal office of the Company together with the properly
endorsed Purchase Form in which event the Company shall issue to the Holder a
number of shares of Common Stock computed using the following formula:

                      X   =  Y (A-B)
                             ------
                                A
        Where         X   =  the number of shares of Common Stock to be issued
                             to Holder
                      Y   =  the number of shares of Common Stock purchasable
                             under the Warrant or, if only a portion of the
                             Warrant is being exercised, the portion of the
                             Warrant being canceled (at the date of such
                             calculation)
                      A   =  the fair market value of one share of the
                             Company's Common Stock (at the date of such
                             calculation)
                      B   =  Exercise Price (as adjusted to the date of such
                             calculation)

For purposes of the above calculation, the fair market value of one share of
Common Stock shall be the average of the closing bid and asked prices of the
Common Stock quoted in the over-the-counter market summary or the last reported
sale price of the Common Stock or the closing price quoted on the NASDAQ Stock
Market or on any exchange on which the Common Stock is listed, whichever is
applicable, as published in The Wall Street Journal for the five (5) trading
days prior to the date of determination of fair market value.

               1.3. The Company shall at all times after the Commencement Date
and until expiration of this Warrant reserve for issuance and delivery upon
exercise of this Warrant the number of Warrant Shares as shall be required for
issuance and delivery upon exercise of this Warrant.

        2. Fractional Shares. No fractional shares or scrip representing
fractional shares shall be issued upon the exercise of this Warrant. With
respect to any fractional shares called for upon exercise hereof, the Company
will pay to the Holder an amount in

                                      -2-
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cash equal to such fraction multiplied by the fair market value of a share of
Common Stock, as determined by the Board of Directors.

        3. Transfer in Compliance with the Securities Act of 1933; Exchange,
Assignment or Loss of Warrant.

               3.1. This Warrant may not be assigned or transferred, except as
provided herein, and in accordance with and subject to the provisions of the
Securities Act of 1933, as amended, and the Rules and Regulations promulgated
thereunder (said Act and such Rules and Regulations being hereinafter
collectively referred to as the "Act"). Any purported transfer or assignment
made other than in accordance with this Section 3 shall be null and void and of
no force and effect.

               3.2. This Warrant or the Warrant Shares may not be sold or
otherwise disposed of except as follows:

                      (a) To a person who, in the opinion of counsel reasonably
satisfactory to the Company, is a person to whom this Warrant or the Warrant
Shares may be legally transferred without registration and without the delivery
of a current prospectus under the Act, as well as applicable state securities
laws with respect thereto and then only against receipt of an agreement of such
person to comply with the provisions of this Section 3.2 with respect to any
resale or other disposition of such securities unless, in the opinion of counsel
to the Company, such agreement is not required; or

                      (b) Upon delivery of a prospectus or offering circular
then meeting the requirements of the Act as well as applicable state securities
laws relating to such securities and the offering thereof for such sale or
disposition.

               3.3. Each certificate for Warrant Shares or for any other
security issued or issuable upon exercise of this Warrant shall contain a legend
on the face, in form and substance satisfactory to counsel for the Company,
setting forth the restrictions on transfer contained in Section 3.1, unless, in
the opinion of counsel reasonably satisfactory to the Company, such legend is
not required.

               3.4. Each holder of the Warrant, the Warrant Shares and any other
security issued or issuable upon exercise of this Warrant shall indemnify and
hold harmless the Company, its directors and officers, and each other person, if
any, who controls the Company against any losses, claims, damages or
liabilities, joint or several, to which the Company or any such director,
officer or any such person may become subject under the Act, any applicable
state securities law or any other statute or at common law, insofar as such
losses, claims, damages or liabilities (or actions in respect thereof) directly
arise out of or are based upon the disposition by such holder of the Warrant,
Warrant Shares or other such securities in violation of the above
representation.

                                      -3-
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               3.5. Subject to the provisions of Sections 3.1 through 3.4, this
Warrant is exchangeable, without expense, at the option of the Holder, for other
warrants of different denominations entitling the Holder to purchase in the
aggregate the same number of Warrant Shares purchasable on the same terms and
conditions, upon presentation at the principal office of the Company or at the
office of its warrant transfer agent, if any, together with a written notice
signed by the Holder specifying the names and denominations in which new
warrants are to be issued, and may be divided or combined with other warrants
which carry the same rights, upon presentation at the principal office of the
Company or at the office of its warrant transfer agent, if any, together with a
written notice signed by the Holder specifying the names and denominations in
which new warrants are to be issued.

               3.6. Any assignment permitted under this Warrant will be made by
surrender of this Warrant to the Company at its principal office or at the
office of its warrant transfer agent, if any, with the attached Assignment Form
duly executed and accompanied by funds sufficient to pay any transfer tax. In
such event the Company will, without charge, execute and deliver a new Warrant
in the name of the assignee named in such instrument of assignment, and this
Warrant will promptly be canceled.

               3.7. Upon receipt by the Company of evidence satisfactory to it
of the loss, theft, destruction or mutilation of this Warrant, and (in the case
of loss, theft or destruction) of reasonably satisfactory indemnification, and
upon surrender and cancellation of this Warrant, if mutilated, the Company will
execute and deliver a new Warrant of like tenor and date and any such lost,
stolen, or destroyed Warrant shall thereupon become void.

        4. Adjustment of Number of Warrant Shares and Exercise Price.

               4.1. The number of Warrant Shares for which this Warrant may be
exercised shall be subject to adjustment as follows:

                      (a) In the event there is a subdivision or combination of
the outstanding shares of Common Stock into a larger or smaller number of
shares, the number of Warrant Shares shall be increased or reduced in the same
proportion as the increase or decrease in the outstanding shares of Common
Stock.

                      (b) If the Company declares a dividend on Common Stock
payable in Common Stock or securities convertible into Common Stock, the number
of Warrant Shares shall be increased, as of the record date for determining
which holders of Common Stock shall be entitled to receive such dividend, in
proportion to the increase in the number of outstanding shares of Common Stock
as a result of such dividend.

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               4.2. In the event at any time prior to the expiration of this
Warrant of any reorganization or reclassification of the outstanding shares of
Common Stock (other than a change in par value, or from no par value to par
value, or from par value to no par value, or as a result of a subdivision or
combination) or any consolidation or merger of the Company with another entity,
or sale, lease or transfer of all or substantially all of the property or assets
of the Company, the Holder shall have the right, but not the obligation, to
exercise this Warrant. Upon such exercise, the Holder shall have the right to
receive the same kind and number of shares of capital stock and other
securities, cash or other property as would have been distributed to the Holder
upon such reorganization, reclassification, consolidation or merger had the
Holder exercised this Warrant immediately prior to such reorganization,
reclassification, consolidation or merger. The Holder shall pay upon such
exercise the Exercise Price that otherwise would have been payable pursuant to
the terms of this Warrant. If any such reorganization, reclassification,
consolidation or merger results in a cash distribution in excess of the Exercise
Price provided by this Warrant, the Holder may, at the Holder's option, exercise
this Warrant without making payment of the Exercise Price, and in such case the
Company shall, upon distribution to the Holder, consider the Exercise Price to
have been paid in full, and in making settlement to the Holder, shall deduct an
amount equal to the Exercise Price from the amount payable to the Holder.

               4.3. If the Company shall, at any time prior to the expiration of
this Warrant, dissolve, liquidate or wind up its affairs, the Holder shall have
the right, but not the obligation, to exercise this Warrant. Upon such exercise
the Holder shall have the right to receive, in lieu of the shares of Common
Stock that the Holder otherwise would have been entitled to receive, the same
kind and amount of assets as would have been issued, distributed or paid to the
Holder upon any such dissolution, liquidation or winding up with respect to such
shares of Common Stock had the Holder been the holder of record of such shares
of Common Stock receivable upon exercise of this Warrant on the date for
determining those entitled to receive any such distribution. If any such
dissolution, liquidation or winding up results in any cash distribution in
excess of the Exercise Price provided for by this Warrant, the Holder may, at
the Holder's option, exercise this Warrant without making payment of the
Exercise Price and, in such case, the Company shall, upon distribution to the
Holder, consider the Exercise Price to have been paid in full, and in making
settlement to the Holder shall deduct an amount equal to the Exercise Price from
the amount payable to the Holder.

               4.4. The Company may retain a firm of independent public
accountants of recognized standing (who may be any such firm regularly employed
by the Company) to make any computation required under this Section 4, and a
certificate signed by such firm shall be conclusive evidence of the correctness
of any computation made under this Section.

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               4.5. Whenever the number of shares of Common Stock purchasable
upon the exercise of this Warrant is adjusted as herein provided, the Exercise
Price shall be adjusted by multiplying the applicable Exercise Price immediately
prior to such adjustment by a fraction, the numerator of which shall be the
number of shares of Common Stock purchasable upon exercise of this Warrant
immediately prior to such adjustment and the denominator of which shall be the
number of shares of Common Stock purchasable immediately after such adjustment.

               4.6. Upon any adjustment of the Exercise Price, then and in each
such case the Company shall give written notice thereof, by first class mail,
postage prepaid, addressed to the Holder at the address of such Holder as shown
on the books of the Company, which notice shall state the Exercise Price
resulting from such adjustment, setting forth in reasonable detail the method of
calculation and the facts upon which such calculation is based.

               4.7. The issuance of certificates for shares of Common Stock upon
exercise of this Warrant shall be made without charge to the Holder thereof for
any issuance tax in respect thereof; provided, that the Company shall not be
required to pay any tax which may be payable in respect of any transfer involved
in the issuance and delivery of any certificate in a name other than that of the
Holder.

        5. Rights of Holder. Except as otherwise provided in Section 1.1 above,
this Warrant does not entitle the Holder to any rights of a shareholder of the
Company either at law or in equity, and the rights of any such Holder are
limited to those expressed in this Warrant and are not enforceable against the
Company, except to the extent set forth herein.

        6. Warrant Transfer Agent. Any reference in this Warrant to the warrant
transfer agent will apply if, and only if, the Company will have advised the
Holder that such an agent has been designated as an agency for the transfer or
exercise of this Warrant.

        7. Governing Law. This Warrant shall be construed in accordance with the
laws of the State of California.

        8. Notices. Any notice required hereunder shall be by writing and shall
be given by personal delivery, or United States mail, certified or registered
with return receipt requested, postage prepaid and shall be deemed to be
effective five (5) business days after mailing or on the date of delivery if
delivered personally, at the following addresses, or such other addresses as one
party may from time to time give the other in writing:

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               To the Company:      INTELLICORP, INC.
                                    1975 El Camino Real
                                    Mountain View, CA  94040
                                    Attention: CFO

               To Holder:           At the address set forth below.

        IN WITNESS WHEREOF, the Company has executed this Warrant as of the 29th
day of September, 2000.

                                            INTELLICORP, INC.

                                            By:
                                               -------------------------

        Initial Holder:

Address:

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                                  PURCHASE FORM

                                                    Dated:  ________________

        The undersigned hereby irrevocably elects to exercise the within Warrant
to the extent of purchasing __________ shares of Common Stock and hereby makes
payment of $__________ in payment of the actual Exercise Price thereof.

        __ [Please check if this option is selected] Instead of paying cash for
exercise of the Warrant as provided above, the undersigned, the holder of the
attached Warrant, hereby irrevocably elects to exercise the purchase right
represented by such Warrant for, and to purchase thereunder, shares of Common
Stock of the Company and herewith elects to pay for such shares by reducing the
number of shares issuable thereunder in accordance with Section 1.2 thereof. The
undersigned hereby authorizes the Company to make the required calculation under
Section 1.2 of the Warrant.

                     INSTRUCTIONS FOR REGISTRATION OF STOCK

Name:
            ----------------------------------------------------------
                  (Please typewrite or print in block letters)

Address:
            ----------------------------------------------------------

            ----------------------------------------------------------

            ----------------------------------------------------------

                                            Signature:
                                                       --------------------

<PAGE>   9

                                 ASSIGNMENT FORM

               FOR VALUE RECEIVED, ____________________ hereby sells, assigns
and transfers unto

Name:
       --------------------------------------------------------------
               (Please typewrite or print in block letters)

Address:____________________________________________________________________
the right to purchase Common Stock represented by this Warrant to the extent of
_________ shares of Stock and does hereby irrevocably constitute and appoint
____________________, attorney, to transfer the same on the books of the Company
with full power of substitution in the premises.

                                             Signature:
                                                        ----------------------

Dated:
      -------------------<PAGE>   1
                                                                    EXHIBIT 10.5

                               [INTELLICORP LOGO]

                                INTELLICORP, INC.
                        COMMON STOCK PURCHASE AGREEMENT

        THIS COMMON STOCK PURCHASE AGREEMENT (the "AGREEMENT") is made and
entered into as of December 28, 2000, by and between IntelliCorp, Inc., a
Delaware corporation (the "COMPANY"), and Norman J. Wechsler, who becomes a
signatory to this Agreement (the "PURCHASER").

                          THE PARTIES AGREE AS FOLLOWS:

        1. ISSUANCE OF SHARES; PURCHASE PRICE: The Purchaser hereby purchases
and the Company hereby sells an aggregate of 400,000 shares of the Company
common stock (the "SHARES") at a purchase price of $.50 per share payable in
cash.

        2. REGISTRATION RIGHT: The Shares shall be subject to piggy-back
registration rights if the Company files with the SEC a registration Statement
on Form S-3 (or equivalent) covering the resale of any Shares.

        3. PURCHASER'S REPRESENTATIONS: Purchaser is acquiring the Shares for
the Purchaser's own account, and not directly or indirectly for the account of
any other person. The Purchaser is acquiring the Shares for investment and not
with a view to distribution or resale thereof except in compliance with the Act
and any applicable state law regulating securities, and the certificates for any
Shares will bear restrictive legends to that effect.

        4. GOVERNING LAW: This Agreement shall be governed by and construed in
accordance with the laws of the State of California applicable to contracts
entered into and to be performed entirely within the State of California by
residents of the State of California.

        5. ENTIRE AGREEMENT: This Agreement constitutes the entire agreement of
the parties pertaining to the Shares and supersedes all prior and
contemporaneous agreements, representations, and understandings of the parties.

<PAGE>   2
        IN WITNESS WHEREOF, the parties hereto have executed the Common Stock
 Purchase Agreement as of the date first above Written.

                                    INTELLICORP, INC.
                                    A Delaware corporation

                                    By: /s/ JEROME F. KLAJBOR
                                       -----------------------------------
                                       Jerome F. Klajbor
                                       Title: Chief Financial Officer

                                    By: /s/ NORMAN J. WECHSLER
                                       -----------------------------------
                                       Norman J. Wechsler

                                    Address:  105 South Bedford Rd., Suite 310
                                              Mount Kisco, NY 10549

                                              -----------------------------
<PAGE>   3
                                                                    EXHIBIT 10.5
                                                                    Part II

                               [INTELLICORP LOGO]

                                INTELLICORP, INC.
                        COMMON STOCK PURCHASE AGREEMENT

        THIS COMMON STOCK PURCHASE AGREEMENT (the "AGREEMENT") is made and
entered into as of December 28, 2000, by and between IntelliCorp Inc., a
Delaware corporation (the "COMPANY"), and Norman J. Wechsler, who becomes a
signatory to this Agreement (the "PURCHASER").

                          THE PARTIES AGREE AS FOLLOWS:

        1. ISSUANCE OF SHARES; PURCHASE PRICE: The Purchaser hereby purchases
and the Company hereby sells an aggregate of 200,000 shares of the Company
common stock (the "SHARES") at a purchase price of $.50 per share payable in
cash.

        2. REGISTRATION RIGHT: The Shares shall be subject to piggy-back
registration rights if the Company files with the SEC a registration Statement
on Form S-3 (or equivalent) covering the resale of any Shares.

        3. PURCHASER'S REPRESENTATIONS: Purchaser is acquiring the Shares for
the Purchaser's own account, and not directly or indirectly for the account of
any other person. The Purchaser is acquiring the Shares for investment and not
with a view to distribution or resale thereof except in compliance with the Act
and any applicable state law regulating securities, and the certificates for any
Shares will bear restrictive legends to that effect.

        4. GOVERNING LAW: This Agreement shall be governed by and construed in
accordance with the laws of the State of California applicable to contracts
entered into and to be performed entirely within the State of California by
residents of the State of California.

        5. ENTIRE AGREEMENT; This Agreement constitutes the entire agreement of
the parties pertaining to the Shares and supersedes all prior and
contemporaneous agreements, representations, and understandings of the parties.

<PAGE>   4
        IN WITNESS WHEREOF, the parties hereto have executed the Common Stock
 Purchase Agreement as of the date first above Written.

                                    INTELLICORP, INC.
                                    A Delaware corporation

                                    By:    /s/ JEROME F. KLAJBOR
                                       -----------------------------------
                                           Jerome F. Klajbor
                                    Title: Chief Financial Officer

                                    By:    /s/ NORMAN J. WECHSLER
                                       -----------------------------------
                                           Norman J. Wechsler

                                    Address:  105 South Bedford Rd., Suite 310
                                              Mount Kisco, NY 10549

                                              -----------------------------

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