Document:

<PAGE>   1
                                                                  Execution Copy

                                 FIRST AMENDMENT
                    TO AMENDED AND RESTATED CREDIT AGREEMENT

         This First Amendment to Amended and Restated Credit Agreement (this
"Agreement") dated as of January 1, 2001 is entered into by and among Texas
Petrochemicals LP, a Texas limited partnership (the "Company"), TPC Holding
Corp., a Delaware corporation (the "Parent"), those Lenders that execute a
counterpart of this Agreement and The Chase Manhattan Bank (the successor by
merger to Chase Bank of Texas, National Association), individually as a Lender
and the Swing Line Lender and as agent for the other Lenders (in such latter
capacity together with any other Person who becomes the agent, the "Agent"), ABN
AMRO North America, Inc. as agent for ABN AMRO Bank, N.V., and The Bank of Nova
Scotia, each individually as a Lender and together as co-documentation agents
for the other Lenders (in such capacity, together with any other Person who
becomes a documentation agent, the "Documentation Agents").

         WHEREAS, the Company, the Parent, the Lenders, the Agent, the Swing
Line Lender and the Documentation Agents are parties to that certain Amended and
Restated Credit Agreement dated as of June 30, 2000 (the "Credit Agreement";
capitalized terms used herein, unless otherwise defined, are used as defined in
the Credit Agreement); and

         WHEREAS, the Company has requested the Lenders to amend certain
provisions of the Credit Agreement.

         NOW, THEREFORE, in consideration of the premises and for other good and
valuable consideration, the receipt and sufficiency of which are hereby
acknowledged, the parties hereto hereby agree as follows:

                  1. Amendments to Section 1.01. (a) The definition of "Agent"
contained in Section 1.01 of the Credit Agreement is hereby amended in its
entirety to read as follows:

                           " 'Agent' means The Chase Manhattan Bank (the
                  successor by merger to Chase Bank of Texas, National
                  Association) together with any other Person who becomes the
                  agent pursuant to Section 10.06.".

                  (b) Clause (c) of the definition of "Fixed Charge Coverage
         Ratio" contained in Section 1.01 of the Credit Agreement is hereby
         amended in its entirety to read as follows:
<PAGE>   2
                  "(c) the lesser of (i) Scheduled Capital Expenditures for such
         period (other than Capital Expenditures permitted by Section 8.14(d)
         and Capital Expenditures permitted by Section 8.14(e)) and (ii) actual
         Capital Expenditures for such period,".

                  2. Amendment to Section 7.01. Clause (i) of Section 7.01(l) of
the Credit Agreement is hereby deleted effective as of June 30, 2000, and
clauses (ii), (iii) and (iv) thereof are renumbered, respectively, as clauses
(i), (ii) and (iii).

                  3. Amendment to Section 8.05. Clause (d) of Section 8.05 of
the Credit Agreement is hereby amended in it entirety to read as follows:

                  "(d) loans by the Company to the ESOP to purchase Capital
         Stock of Holding Co. in the aggregate at any time outstanding not in
         excess of $10,000,000.00;".

                  4. Amendment to Section 8.13(a). Section 8.13(a) of the Credit
Agreement is hereby amended in its entirety to read as follows:

                  "(a) Fixed Charge Coverage Ratio. The Company will not permit
         at any time the Fixed Charge Coverage Ratio to be (a) for the period
         from March 28, 1997 to and including June 30, 1997, less than 1.0 to
         1.0, (b) for the period from July 1, 1997 to and including September
         30, 1997, less than .8 to 1.0, (c) for the period from October 1, 1997
         to and including December 31, 1997, less than .9 to 1.0, (d) for the
         period from January 1, 1998 to and including June 30, 1998, less than
         1.0 to 1.0, (e) for the period from July 1, 1998 to and including June
         30, 1999, less than 1.0 to 1.0, (f) for the period from July 1, 1999 to
         and including December 31, 1999, less than 1.0 to 1.0, (g) for the
         period from January 1, 2000 to and including June 30, 2000, less than
         1.0 to 1.0, (h) for the period from July 1, 2000 to and including June
         30, 2001, less than 1.05 to 1.0, (i) for the period from July 1, 2001
         to and including June 30, 2002, less than 1.05 to 1.0, and (j) at any
         time after June 30, 2002, less than 1.15 to 1.0.".

                  5. Amendment to Section 8.13(b). Clauses (g) and (h) of
Section 8.13(b) of the Credit Agreement are hereby amended in their entirety to
read as follows:

                  "(g) for the period from July 1, 2000 to and including June
         30, 2001, greater than 4.5 to 1.0, (h) for the period from July 1, 2001
         to and including June 30, 2002, greater than 4.5 to 1.0,".

                  6. Amendment to Section 8.13(d). Section 8.13(d) of the Credit
Agreement is hereby amended in its entirety to read as follows:

                                      -2-
<PAGE>   3
                  "(d) Current Ratio. The Company will not permit at any time
         the ratio of Current Assets to Current Liabilities to be less than 1.15
         to 1.0.".

                  7. Amendments to Section 8.14. Section 8.14 of the Credit
Agreement is hereby amended by replacing the phrase "Except as permitted in
subclauses (b), (c) and (d) below, "with the phrase "Except as permitted in
subclauses (b), (c), (d) and (e) below,".

         Section 8.14 of the Credit Agreement is hereby further amended by
adding a new subclause (e) reading in its entirety as follows:

                  "(e) The Company and its Subsidiaries may make Capital
         Expenditures for one or more projects for expansion of butadiene
         capacity so long as the aggregate Capital Expenditures pursuant to this
         Section 8.14(e) do not at any time exceed $16,000,000 in the
         aggregate.".

                  8. Ratification. (a) The Credit Agreement, the Notes and the
other Loan Documents, as amended and affected by this Agreement, shall continue
in full force and effect, and are hereby ratified and confirmed; and

                  (b) Nothing in this Agreement releases any right, claim, lien,
         security interest or entitlement of the Agent or any Lender created by
         or contained in any of such documents nor is the Company or any other
         Person released from any covenant, warranty or obligation created by or
         contained therein.

                  9. Representations and Warranties. The Company hereby
represents and warrants to the Lenders that (a) the Credit Agreement as amended
by this Agreement has been duly authorized, executed and delivered on behalf of
the Company, (b) this Agreement constitutes a valid and legally binding
agreement enforceable against the Company in accordance with its terms except as
such enforceability may be limited by bankruptcy, insolvency, reorganization,
moratorium, fraudulent transfer or other similar laws relating to or affecting
the enforcement of creditors' rights generally, and by general principles of
equity (regardless of whether such enforceability is considered in a proceeding
in equity or at law), (c) after giving effect to this Agreement, the
representations and warranties by the Company contained in the Credit Agreement
and in the other Loan Documents are true and correct on and as of the date
hereof in all material respects as though made as of the date hereof (unless any
such representation or warranty expressly relates to an earlier date or is no
longer true solely as a result of transactions not prohibited by the Credit
Agreement, as amended by this Agreement, and the other Loan Documents) and (d)
after giving effect to this Agreement, no Default exists under the Credit
Agreement or any of the other Loan Documents.

                                      -3-
<PAGE>   4
                  10. Reference to the Credit Agreement and Effect on the Notes
and Other Loan Documents.

                  (a) Upon the effectiveness of the amendments set forth in
Sections 1 through 7, each reference in the Credit Agreement to "this
Agreement", "hereunder," "herein" or words of like import shall mean and be a
reference to the Credit Agreement, as amended and affected hereby.

                  (b) Upon the effectiveness of the amendments set forth in
Sections 1 through 7, each reference in the Notes and the other Loan Documents
to "the Credit Agreement" shall mean and be a reference to the Credit Agreement,
as amended and affected hereby.

                  11. Counterparts. This Agreement may be signed in any number
of counterparts, each of which shall be construed as an original, but all of
which together shall constitute one and the same instrument.

                  12. Ratification by Other Parties. By its execution of this
Agreement each of the Parent, the Limited Partner, Holding Co. and Texas
Butylene Chemical Corporation hereby consents and agrees to the provisions of
this Agreement, represents and warrants that the representations by it and its
Subsidiaries contained in Article VI of the Credit Agreement, as amended hereby,
are true and correct in all material respects as though made as of the date
hereof (unless any such representation and warranty expressly relates to an
earlier date or is no longer true solely as a result of transactions not
prohibited by the Credit Agreement, as amended hereby, and the other Loan
Documents), and ratifies and confirms the Loan Documents to which it is a party,
as amended and affected hereby.

                  13. Effectiveness of Agreement. This Agreement shall become
effective upon the execution hereof by the Company, the Parent, the Limited
Partner, Holding Co., Texas Butylene Chemical Corporation and Lenders
constituting the Majority Lenders under the Credit Agreement (whether or not all
Lenders listed on the signature pages hereof execute this Agreement).

                  14. Choice of Law. THIS AGREEMENT SHALL BE GOVERNED BY AND
CONSTRUED IN ACCORDANCE WITH THE LAWS OF THE STATE OF TEXAS, EXCEPT TO THE
EXTENT THAT THE LAWS OF THE UNITED STATES OF AMERICA, AND ANY RULES, REGULATIONS
OR ORDERS ISSUED OR PROMULGATED THEREUNDER APPLICABLE TO THE AFFAIRS AND
TRANSACTIONS OF THE LENDER OTHERWISE PREEMPT TEXAS LAW, IN WHICH EVENT SUCH
FEDERAL LAW SHALL CONTROL.

                  15. Final Agreement of the Parties. THE CREDIT AGREEMENT, AS
AMENDED BY THIS AGREEMENT, AND THE OTHER LOAN DOCUMENTS

                                      -4-
<PAGE>   5
(INCLUDING, WITHOUT LIMITATION, ALL EXHIBITS AND SCHEDULES THERETO) CONSTITUTE A
"LOAN AGREEMENT" AS DEFINED IN SECTION 26.02(a) OF THE TEXAS BUSINESS AND
COMMERCE CODE, AND REPRESENT THE FINAL AGREEMENT AMONG THE PARTIES AND MAY NOT
BE CONTRADICTED BY EVIDENCE OF PRIOR, CONTEMPORANEOUS OR SUBSEQUENT ORAL
AGREEMENTS OF THE PARTIES. THERE ARE NO UNWRITTEN ORAL AGREEMENTS BETWEEN THE
PARTIES.

                  IN WITNESS WHEREOF, the parties hereto have caused this
Agreement to be executed by their respective officers thereunto duly authorized
as of the date first above written.

                                           Company:

                                           TEXAS PETROCHEMICALS LP
                                           BY:  TPC HOLDING CORP.,
                                                as General Partner

                                                By:    ________________________
                                                Name:  ________________________
                                                Title: ________________________

                                           Parent:

                                           TPC HOLDING CORP.

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -5-
<PAGE>   6
                                           Swing Line Lender:

                                           THE CHASE MANHATTAN BANK(as successor
                                           to CHASE BANK OF TEXAS, NATIONAL
                                           ASSOCIATION)

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -6-
<PAGE>   7
                                           Lenders:

                                           THE CHASE MANHATTAN BANK

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -7-
<PAGE>   8
                                           ABN AMRO BANK N.V.

                                           BY:     ABN AMRO NORTH AMERICA, INC.,
                                                    AS AGENT

                                                    By:    ____________________
                                                    Name:  ____________________
                                                    Title: ____________________

                                                    By:    ____________________
                                                    Name:  ____________________
                                                    Title: ____________________

                                      -8-
<PAGE>   9
                                           THE BANK OF NOVA SCOTIA

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -9-
<PAGE>   10
                                           BANK OF SCOTLAND

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -10-
<PAGE>   11
                                           BNP PARIBAS

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -11-
<PAGE>   12
                                           CAPTIVA FINANCE LTD.

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -12-
<PAGE>   13
                                           HIBERNIA NATIONAL BANK

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -13-
<PAGE>   14
                                           THE CIT GROUP/BUSINESS CREDIT, INC.

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -14-
<PAGE>   15
                                           LONGHORN CDO (CAYMAN) LTD

                                           BY:      MERRILL LYNCH INVESTMENT
                                                    MANAGERS, L.P.,
                                                    AS INVESTMENT ADVISOR

                                                    By:    ____________________
                                                    Name:  ____________________
                                                    Title: ____________________

                                      -15-
<PAGE>   16
                                           MERRILL LYNCH SENIOR FLOATING RATE
                                           FUND, INC.

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -16-
<PAGE>   17
                                           BANK OF AMERICA, N.A.

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -17-
<PAGE>   18
                                           NATIONAL BANK OF CANADA

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -18-
<PAGE>   19
                                           VAN KAMPEN PRIME RATE INCOME TRUST

                                           BY:  VAN KAMPEN INVESTMENT ADVISORY
                                                CORP.

                                                By:    ________________________
                                                Name:  ________________________
                                                Title: ________________________

                                      -19-
<PAGE>   20
                                           WELLS FARGO BANK (TEXAS),
                                           NATIONAL ASSOCIATION

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -20-
<PAGE>   21
                                           Agent:

                                           THE CHASE MANHATTAN BANK(as successor
                                           to CHASE BANK OF TEXAS, NATIONAL
                                           ASSOCIATION)

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                           Documentation Agents:

                                           ABN AMRO NORTH AMERICA, INC., AS
                                           AGENT FOR ABN AMRO BANK N.V.

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                           THE BANK OF NOVA SCOTIA

                                           By:    _____________________________
                                           Name:  _____________________________
                                           Title: _____________________________

                                      -21-
<PAGE>   22
Consented to and agreed to
as of the date first above
written:

                                              TEXAS PETROCHEMICAL HOLDINGS, INC.

                                              By:    __________________________
                                              Name:  __________________________
                                              Title: __________________________

                                              TEXAS BUTYLENE CHEMICAL
                                              CORPORATION

                                              By:    __________________________
                                              Name:  __________________________
                                              Title: __________________________

                                              PETROCHEMICAL PARTNERSHIP
                                              HOLDINGS, INC.

                                              By:    __________________________
                                              Name:  __________________________
                                              Title: __________________________

                                      -22-<PAGE>   1

                                                                 EXHIBIT 10.13A

                           RESTRICTED STOCK AGREEMENT

     THIS AGREEMENT is made as of February 8, 2001 (the "Effective Date")
between Oil States International, Inc., a Delaware corporation (the "Company"),
and Douglas E. Swanson ("Employee").

     To carry out the purposes of The 2001 Equity Participation Plan of Oil
States International, Inc. (the "Plan"), by affording Employee the opportunity
to acquire shares of common stock of the Company ("Stock"), and in consideration
of the mutual agreements and other matters set forth herein and in the Plan, the
Company and Employee hereby agree as follows:

     1.   AWARD OF SHARES. Upon execution of this Agreement, the Company shall
issue 76,674 shares of Stock to Employee. Employee acknowledges receipt of a
copy of the Plan, and agrees that this award of Stock shall be subject to all of
the terms and conditions set forth herein and in the Plan, including future
amendments thereto, if any, pursuant to the terms thereof, which Plan is
incorporated herein by reference as a part of this Agreement. In the event of
any conflict between the terms of this Agreement and the Plan, the terms of the
Plan shall govern.

     2.   FORFEITURE RESTRICTIONS. The Stock issued to Employee pursuant to this
Agreement may not be sold, assigned, pledged, exchanged, hypothecated or
otherwise transferred, encumbered or disposed of to the extent then subject to
the Forfeiture Restrictions (as hereinafter defined), and in the event of
termination of Employee's employment with the Company for any reason (other than
as provided below), automatically upon such termination Employee shall, for no
consideration, forfeit to the Company all Stock to the extent then subject to
the Forfeiture Restrictions. The prohibition against transfer and the obligation
to forfeit and surrender Stock to the Company upon termination of employment are
herein referred to as "Forfeiture Restrictions," and the shares which are then
subject to the Forfeiture Restrictions are herein sometimes referred to as
"Restricted Shares." The Forfeiture Restrictions shall be binding upon and
enforceable against any transferee of the Stock. Subject to the terms of that
Executive Agreement between the Company and Employee dated February 8, 2001 (the
"Executive Agreement") providing for vesting upon certain events, the Forfeiture
Restrictions shall lapse as to Stock issued to Employee pursuant to this
Agreement as follows: (a) with respect to 1/3 of the Restricted Shares, on the
first anniversary of the Effective Date, (b) with respect to 1/3 of the
Restricted Shares, on the second anniversary of the Effective Date, and (c) with
respect to 1/3 of the Restricted Shares, on the third anniversary of the
Effective Date. Notwithstanding the foregoing, the Forfeiture Restrictions shall
lapse as to all of the Stock on (i) the date a Change of Control occurs or (ii)
the termination of Employee's employment due to his death or a disability that
entitles Employee to receive benefits under a long term disability plan of the
Company.

     3.   CERTIFICATES. A certificate evidencing the Restricted Shares shall be
issued by the Company in Employee's name, pursuant to which Employee shall have
voting rights and shall be entitled to receive dividends and other distributions
(provided, however, that dividends or other distributions paid in any form other
than cash shall be subject to the Forfeiture Restrictions). The certificate
shall bear the following legend:

<PAGE>   2

     The shares evidenced by this certificate have been issued pursuant to an
     agreement made as of February 8, 2001, a copy of which is attached hereto
     and incorporated herein, between the Company and the registered holder of
     the shares, and are subject to forfeiture to the Company under certain
     circumstances described in such agreement. The sale, assignment, pledge or
     other transfer of the shares of stock evidenced by this certificate is
     prohibited under the terms and conditions of such agreement, and such
     shares may not be sold, assigned, pledged or otherwise transferred except
     as provided in such agreement.

The Company may cause the certificate to be delivered upon issuance to the
Secretary of the Company as a depository for safekeeping until the forfeiture
occurs or the Forfeiture Restrictions lapse pursuant to the terms of this
Agreement. Upon request of the Company, Employee shall deliver to the Company a
stock power, endorsed in blank, relating to the Restricted Shares then subject
to the Forfeiture Restrictions. Upon the lapse of the Forfeiture Restrictions
without forfeiture, the Company shall cause a new certificate or certificates to
be issued for the remaining Stock after the Company's tax withholding obligation
has been satisfied pursuant to paragraph 5, without legend in the name of
Employee in exchange for the certificate evidencing the Restricted Shares.

     4.   CONSIDERATION. It is understood that the consideration for the
issuance of Restricted Shares shall be Employee's agreement to render future
services to the Company, which services shall have a value not less than the par
value of such Restricted Shares.

     5.   WITHHOLDING OF TAX. To the extent that the receipt of the Restricted
Shares results in compensation income to Employee for federal or state tax
purposes, Employee shall deliver to the Company at the time of such receipt,
such amount of money or shares of unrestricted Stock as the Company may require
to meet its withholding obligation under applicable tax laws or regulations,
and, if Employee fails to do so, the Company is authorized to withhold from any
cash or Stock remuneration then or thereafter payable to Employee any tax
required to be withheld by reason of such resulting compensation income. To the
extent that the lapse of any Forfeiture Restrictions results in compensation
income to Employee for federal or state tax purposes and Employee has not
otherwise made arrangements to satisfy its withholding obligation, the Company
shall withhold from the Restricted Shares such shares as the Company may require
to meet its withholding obligations under applicable tax laws or regulations.

     6.   STATUS OF STOCK. Employee agrees that the Restricted Shares will not
be sold or otherwise disposed of in any manner that would constitute a violation
of any applicable federal or state securities laws. Employee also agrees (i)
that the certificates representing the Restricted Shares may bear such legend or
legends as the Committee deems appropriate in order to ensure compliance with
applicable securities laws, (ii) that the Company may refuse to register the
transfer of the Restricted Shares on the stock transfer records of the Company
if such proposed transfer would in the opinion of counsel satisfactory to the
Company constitute a violation of any applicable securities law and (iii) that
the Company may give related instructions to its transfer agent, if any, to stop
registration of the transfer of the Restricted Shares.

                                      -2-
<PAGE>   3

     7.   EMPLOYMENT RELATIONSHIP. For purposes of this Agreement, Employee
shall be considered to be in the employment of the Company as long as Employee
remains an employee of the Company, any parent or subsidiary entity of the
Company or any successor to any of the foregoing. Any question as to whether and
when there has been a termination of such employment, and the cause of such
termination, shall be determined by the Committee, subject to the terms of the
Executive Agreement, and its determination shall be final.

     8.   COMMITTEE'S POWERS. No provision contained in this Agreement shall in
any way terminate, modify or alter, or be construed or interpreted as
terminating, modifying or altering any of the powers, rights or authority vested
in the Committee pursuant to the terms of the Plan, including, without
limitation, the Committee's rights to make certain determinations and elections
with respect to the Restricted Shares.

     9.   BINDING EFFECT. This Agreement shall be binding upon and inure to the
benefit of any successors to the Company and all persons lawfully claiming under
Employee.

     10.  NON-ALIENATION. Employee shall not have any right to pledge,
hypothecate, anticipate or assign this Agreement or the rights hereunder, except
by will or the laws of descent and distribution.

     11.  NOT A CONTRACT OF EMPLOYMENT. This Agreement shall not be deemed to
constitute a contract of employment, nor shall any provision hereof affect (a)
the right of the Company to discharge Employee at will or (b) the terms and
conditions of any other agreement between the Company and Employee except as
expressly provided herein.

     12.  COUNTERPARTS. This Agreement may be executed in one or more
counterparts, each of which shall be deemed to be an original, but all of which
together will constitute one and the same Agreement.

     13.  GOVERNING LAW. This Agreement shall be governed by, and construed in
accordance with, the laws of the State of Delaware.

     IN WITNESS WHEREOF, the Company has caused this Agreement to be duly
executed by an officer thereunto duly authorized, and Employee has executed this
Agreement, all effective as of the Effective Date.

                                        OIL STATES INTERNATIONAL, INC.

                                        By: /s/ CINDY B. TAYLOR
                                            ------------------------------------
                                        NAME:   Cindy B. Taylor
                                              ----------------------------------
                                        TITLE:  Sr. Vice President & CFO
                                               ---------------------------------

                                        /s/ DOUGLAS E. SWANSON
                                        ----------------------------------------
                                        Douglas E. Swanson

                                      -3-

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