What was found
DISCREPANCY: CREW REPORTED THAT WHILE CONDUCTING ENGINE ACCELERATION CHECKS ON THE #1 ENGINE, THE #1 ENGINE FLAMED OUT AT FL290. THE CREW DECLARED AN EMERGENCY WITH CLEVELAND CENTER TO OBTAIN LOWER ALTITUDE, THEY DESCENDED AND PERFORMED A SUCCESSFUL RELIGHT AT FL260. THE CREW CANCELLED EMERGENCY AND RETURNED TO KYIP AND LANDED WITHOUT FURTHER INCIDENT. CORRECTIVE ACTION: USA JET MAINTENANCE IN KYIP REMOVED THE #1 ENGINE AND SENT IT TO INTERNATIONAL TURBINE INC. FOR EVALUATION. THEY INSTALLED A SERVICEABLE #1 ENGINE IAW USA JET GMM VOLUME 3 CHAPTER 72.00.3 CF700 CHECKLIST, OPS, LEAK AND TRIM RUNS ALL NORMAL.