If the department determines that the persons or property within the proposed boundaries of the district will not benefit directly or indirectly from the use of or right to use the ground water supply therein and the replenishment thereof, the board of supervisors of the principal county will take no further action, but the petition and report will be filed as a public record without prejudice to the filing of a new petition for organization of a water replenishment district, except that no such new petition shall be filed within six months after any such adverse determination by the department.