For the privilege of mining, extracting, and disposing of the oil
or other minerals covered by a lease under this section the lessee shall pay to the United States such royalties as shall be specified in the lease and an annual rental, payable at the beginning of each year, at the rate of $2.00 per acre per annum, for the lands included in the lease, the rental paid for any one year to be credited against the royalties accruing for that year; such royalties to be subject to readjustment at the end of each twenty-year period by the Secretary of the Interior. For the purpose of encouraging the production of petroleum products from shales the Secretary may, in his discretion, waive the payment of any royalty and rental during the first five years of any lease. Any person having a valid claim to such minerals under existing laws on January 1, 1919
, shall, upon the relinquishment of such claim, be entitled to a lease under the provisions of this section for such area of the land relinquished as shall not exceed the maximum area authorized by this section to be leased to an individual or corporation. No claimant for a lease who has been guilty of any fraud or who had knowledge or reasonable grounds to know of any fraud, or who has not acted honestly and in good faith, shall be entitled to any of the benefits of this section. No one person, association, or corporation shall acquire or hold more than 50,000 acres of oil
shale leases in any one State. For gilsonite (including all vein-type solid hydrocarbons) no person, association, or corporation shall acquire or hold more than seven thousand six hundred eighty acres in any one State without respect to the number of leases.