As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
FLT GT051 - ATB - DURING CLIMB-OUT AT APPROX 5500 FT, NR 3 ENGINE A AND B FIRE WARNING LOOPS PEGGED HIGH. LEVEL OUT AND REDUCED POWER AND FIRE WARNING INDICATION WENT OUT. ACCOMPLISHED ENGINE FIRE CHECKLIST AND SHUTDOWN ENGINE. DID NOT DISCHARGE FIRE BOTTLES DUE NO FURHTER FIRE INDICATION. DUMPED FUEL AND LANDING UNEVENTFUL. REPLACED NR 3 ENGINE, S/N ON 5171792. ENGINE RUNUP CHECKS NORMAL.