I don't see a CJ-4 rating on their specs. Here is a copy from their website:
Supreme 9000 SAE 5W-40 meets and exceeds the following manufacturers' specifications and requirements:
API CI-4/CH-4/SL and CI-4 Plus. Military Specifications MIL-PRE-2104G and A-A-52306A, JASO DH-1, Mack EO-N Premium Plus-03, Caterpillar, Caterpillar ECF-1, Cummins CES 20076, CES 20077, CES 20078, Detroit Diesel 7SE 270, Detroit Diesel Power Guard Oil Specification 93K214, Detroit Diesel 2000/Series, 4000 Category 1, International Harvester, Navistar, John Deere, JI Case, Komatsu, Dresser. ACEA E5/E3/B3/A3, ACEA E-7-04, Duetz, Daimler Chrysler MB228. 1/228. 3, Daimler Chrysler MB 229. 2. Daimler Chrysler MB 228. 5, Renault RVI RXD, Volvo VDS-2 and VDS-3, Man 271, Man 3275, MTU Type 2 and Volkswagen VW 502. 00, 505. 00, and 505. 01.