Any rights under any such mining claim so hereafter located pursuant to the provisions of subsection (a) of this section shall be subject to any rights of the owner of any mining claim which was located prior to February 10, 1954, and which was valid on August 13, 1954 or which may acquire validity under the provisions of this chapter. As to any lands covered by a uranium lease and also by a pending uranium lease application, the right of mining location under this section, as between the owner of said lease and the owner of said application, shall be deemed as to such conflict area to be vested in the owner of said lease. As to any lands embraced in more than one such pending uranium lease application, such right of mining location, as between the owners of such conflicting applications, shall be deemed to be vested in the owner of the prior application. Priority of such an application shall be determined by the time of posting on a tract then available for such leasing of a notice of lease application in accordance with paragraph (c) of the Atomic Energy Commission’s Domestic Uranium Program Circular 7 (10 C.F.R. 60.7 (c)) provided there shall have been timely compliance with the other provisions of said paragraph (c) or, if there shall not have been such timely compliance, then by the time of the filing of the uranium lease application with the Atomic Energy Commission. Any rights under any mining claim located under the provisions of this section shall terminate at the expiration of thirty days after the filing for record of the notice or certificate of location of such mining claim unless, within said thirty-day period, the owner of the uranium lease application or uranium lease upon which the location of such mining claim was predicated shall have filed with the Atomic Energy Commission a withdrawal of said application or a release of said lease and shall have recorded a notice of the filing of such withdrawal or release in the county office wherein such notice or certificate of location shall be of record.