Exhibit 24

                               POWER OF ATTORNEY

        With respect to holdings of and transactions in securities issued by
    CONSOL Mining Corporation (the "Company"), the undersigned hereby
    constitutes and appoints James A. Brock, David M. Khani, Michael J. Baker
    and Martha A. Wiegand, or any of them signing singly, with full power of
    substitution and resubstitution, to act as the undersigned's true and lawful
    attorney-in-fact to:

        1.  prepare, execute in the undersigned's name and on the undersigned's
            behalf, and submit to the United States Securities and Exchange
            Commission (the "SEC") a Form ID, including amendments thereto, and
            any other documents necessary or appropriate to obtain and/or
            regenerate codes and passwords enabling the undersigned to make
            electronic filings with the SEC of reports required by Section 16(a)
            of the Securities Exchange Act of 1934, as amended, or any rule or
            regulation of the SEC;

        2.  execute for and on behalf of the undersigned, Forms 3, 4, and 5, and
            any amendments thereto, in accordance with Section 16 of the
            Securities Exchange Act of 1934, as amended, and the rules
            thereunder;

        3.  do and perform any and all acts for and on behalf of the undersigned
            which may be necessary or desirable to complete and execute any such
            Form 3, 4, or 5, complete and execute any amendment or amendments
            thereto, and timely file such form with the SEC and any stock
            exchange or similar authority; and

        4.  take any other action of any type whatsoever in connection with the
            foregoing which, in the opinion of such attorney-in-fact, may be of
            benefit to, in the best interest of, or legally required by, the
            undersigned, it being understood that the documents executed by such
            attorney-in-fact on behalf of the undersigned pursuant to this Power
            of Attorney shall be in such form and shall contain such terms and
            conditions as such attorney-in-fact may approve in his or her
            discretion.

        The undersigned hereby grants to each such attorney-in-fact full power
    and authority to do and perform any and every act and thing whatsoever
    requisite, necessary, or proper to be done in the exercise of any of the
    rights and powers herein granted, as fully to all intents and purposes as
    the undersigned might or could do if personally present, with full power of
    substitution and resubstitution or revocation, hereby ratifying and
    confirming all that such attorney-in-fact, or such attorneys-in-fact
    substitute or substitutes, shall lawfully do or cause to be done by virtue
    of this Power of Attorney and the rights and powers herein granted.

        The undersigned acknowledges that the foregoing attorneys-in-fact, in
    serving in such capacity at the request of the undersigned, are not
    assuming, nor is the Company assuming, any of the undersigned's
    responsibilities to comply with Section 16 of the Securities Exchange Act of
    1934, as amended.

        This Power of Attorney shall remain in full force and effect until the
    undersigned is no longer required to file Forms 3, 4, and 5 with respect to
    the undersigned's holdings of and transactions in securities issued by the
    Company, unless earlier revoked by the undersigned in a signed writing
    delivered to the foregoing attorneys-in-fact.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
    be executed as of this 22nd day of November, 2017.

                                        /s/ John M. Rothka
                                        ----------------------------------------
                                        John M. Rothka