What was found
THE COCKPIT CREW RECEIVED A NR 1 ENGINE FIRE WARNING INDICATION WHILE IN CRUISE FLIGHT. IAW QRH, BOTH FIRE BOTTLES WERE DISCHARGED AND THE NR 1 ENGINE WAS SHUTDOWN. THE AIRCRAFT LANDED WITHOUT FURTHER INCIDENT AT THE SCHEDULE DESTINATION. MAINTENANCE DID NOT FIND ANY EVIDENCE OF AN ACTUAL ENGINE FIRE. REPLACED THE GEAR BOX FIRE LOOP, LOWER SPLITTER FAIRING FIRE LOOP (AT 6 O'CLOCK POSITION), UPPER SPLITTER FAIRING FIRE LOOP, LOWER COWL EXHAUST VENT FIRE DETECTOR, AND THE ENGINE CORE FIRE DETECTOR. PERFORMED OPERATIONAL CHECK OF THE NR 1 & 2 ENGINE FIRE DETECTION SYSTEMS AND ALL CHECKS WERE GOOD.