LAX LC CHALLENGES B737 EXITING RWY 25L TO STOP AND NOT ENTER RWY 25R AS B767 DEPS.

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WE WERE CLRED FOR TAKEOFF ON RWY 25R FULL LENGTH. ABOUT HALFWAY INTO OUR TKOF ROLL; WE SAW A 737 APCH THE HOLD LINE FOR RWY 25R ON THE TANGO HIGH SPEED TXWY. THE 737 ACFT APPEARED TO BE SLOWING FOR A STOP AT THE HOLD LINE. WE HEARD THE TWR CTLR ISSUE THE HOLD SHORT ORDER TO THE 737; BUT DID NOT HEAR A REPLY. AFTER WE WERE COMMITTED TO TAKEOFF; WE SAW THE 737 CROSS THE HOLD LINE FOR RWY 25R AND CONTINUE UNTIL STOPPING WITH THE NOSE OF THE B737 PROTRUDING A FEW FEET ACROSS THE L EDGE OF THE RWY. WE ELECTED NOT TO ABORT AS WE FELT CONFIDENT THAT WE WOULD BE AIRBORNE WELL BEFORE THE 737S POSITION. NO EVASIVE MANEUVERS WERE REQUIRED AND THE REMAINDER OF THE TAKEOFF WAS NORMAL. AFTER CONTACTING LAX CTR; THEY ASKED FOR OUR ACFT REG #. WE INFORMED DISPATCHER WHO OBTAINED A PHONE # FOR US TO CALL LAX TWR. CALLED LAX TWR WHO SAID THE 737 HAD BEEN ORDERED TO HOLD SHORT OF RWY 25R AT TANGO. 737 ACK TWR OPR SAID THE 737 PLT CLAIMED HE WAS HOLDING SHORT. LAX TWR DISAGREED AND FILED VIOLATION ON ACR Y FOR FAILURE TO HOLD SHORT. SUPPLEMENTAL INFO FROM ACN 542433: I WAS THE CAPT. AFTER THE APCH TO RWY 25L; THE CLRNC WAS GIVEN TO EXIT THE RWY AND HOLD SHORT OF RWY 25R. THE FO READ BACK THE CLRNC; HOWEVER I BELIEVED I HAD BEEN CLRED TO CROSS RWY 25R. I EXITED ON THE HIGH SPEED AT M AND THE FOR STATED I WAS TO HOLD SHORT. I IMMEDIATELY APPLIED THE BRAKES AND STOPPED SHORT OF THE RWY EDGE. I SET THE BRAKES AND WATCHED AS AN ACFT DEPARTED RWY 25R. I FELT A CONTRIBUTING FACTOR WAS THE RELATIVELY SHORT DISTANCE OF THE HIGH SPEED BETWEEN THE TWO RWYS. IT REDUCED THE TIME ALLOWABLE TO DECELERATE; STOP AND CONFIRM THE CLRNC. BETTER SIGNAGE OR LIGHTS COMBINED WITH A MORE DETAILED BRIEFING COVERING ROLLOUT AND TURNOFF WOULD HAVE ENHANCED AWARENESS IN THIS SIT. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR EVALUATED THE DEVELOPING RWY INCURSION POTENTIAL AND THOUGHT IT MUCH BETTER TO CONTINUE HIS TKOF INSTEAD OF ABORT. HE FELT THAT THEY WERE TOO FAR INTO THE DEP PHASE AND ABORTING COULD POTENTIALLY 'REALLY CAUSE ADDITIONAL PROBS.'