EXHIBIT 99.1 [X] Please mark your SHARES IN YOUR NAME example. X X X XXXXXXX FOR AGAINST ABSTAIN [_] [_] [_] With respect to the proposal (the "Proposal") to approve and adopt the Agreement and Plan of Merger, dated as of June 30, 1996, by and among Halliburton Company, Halliburton Acq. Company and Landmark, as described in the accompanying Proxy Statement/Prospectus. IMPORTANT: In signing this proxy please sign exactly as your name(s) is (are) shown on the share certificate to which this proxy relates. When signing as an attorney, executor, administrator, trustee or guardian, please give your full title as such. If a Change corporation, please sign in full [_] of corporate name and indicate the Address capacity of the duly authorized officer executing this proxy on behalf of the corporation. If a partnership, please sign in full partnership name and indicate the capacity of the duly authorized person executing this proxy on behalf of the partnership. EACH JOINT TENANT MUST SIGN. SIGNATURE(S) DATE ------------------------------ ------- SIGNATURE(S) DATE ------------------------------ ------- PLEASE SIGN, DATE AND RETURN YOUR PROXY PROMPTLY IN THE ENVELOPE PROVIDED, WHICH REQUIRES NO POSTAGE IF MAILED IN THE UNITED STATES. - -------------------------------------------------------------------------------- PROXY FOR SPECIAL MEETING OF STOCKHOLDERS LANDMARK GRAPHICS CORPORATION 15150 MEMORIAL DRIVE HOUSTON, TEXAS 77079-4304 THIS PROXY IS SOLICITED ON BEHALF OF THE BOARD OF DIRECTORS The undersigned stockholder hereby appoints Robert P. Peebler and Patti L. Massaro, or either of them, as proxies, each with full powers of substitution, and hereby authorizes them to represent and to vote, as designated below, all shares of Common Stock, par value $.05 per share, of Landmark Graphics Corporation, a Delaware corporation ("Landmark"), held of record by the undersigned on the Record Date (as defined in the accompanying Proxy Statement/Prospectus) at the Special Meeting (as defined in the accompanying Proxy Statement/Prospectus), and at any adjournment or postponement thereof and hereby revokes any prior proxy granted with respect thereto. This proxy, when properly executed and returned in a timely manner, will be voted at the Special Meeting and any adjournment or postponement thereof in the manner described herein. IF NO CONTRARY INDICATION IS MADE, THIS PROXY WILL BE VOTED FOR THE PROPOSAL (AS HEREINAFTER DEFINED). THIS PROXY IS SOLICITED ON BEHALF OF THE BOARD OF DIRECTORS OF LANDMARK. THE BOARD OF DIRECTORS UNANIMOUSLY RECOMMENDS THAT YOU VOTE FOR THE PROPOSAL. Each of the above named proxies present at the Special Meeting, either in person or by substitute, shall have and exercise all the powers of said proxies hereunder. This proxy will be voted in accordance with the choice specified by the undersigned on this proxy or, if no choice is made, FOR the Proposal. In their discretion, each of the above-named proxies is authorized to vote upon such other business incident to the conduct of the Special Meeting as may properly come before the Special Meeting or any postponements or adjournments thereof. The undersigned acknowledges receipt of a copy of the Notice of Special Meeting of Stockholders and the Proxy Statement/Prospectus relating to the Special Meeting. (CONTINUED AND TO BE SIGNED ON REVERSE SIDE)