FLC ABORTS TKOF DUE TO CONFLICTING TFC.

Narrative

WHILE TAXIING ON TXWY A TO RWY 12R WE SWITCHED TO MSP TWR FREQ. WE HEARD MSP TWR INSTRUCTING A DC10 TO GO AROUND DUE TO INSUFFICIENT SPACING. WE THEN HEARD THE TWR SAY 'CLRED FOR TKOF' AND THE FO READ BACK 'ACR XYZ CLRED FOR TKOF.' THE CAPT (MYSELF) DID NOT HEAR THE FULL CALL SIGN SO I THEN VERIFIED WITH THE FO THAT THE TKOF CLRNC WAS FOR US; AND WAS HE SURE THAT IT WAS FOR US? HE SAID 'YES.' THIS TYPE OF ACFT HAS 3 PLTS AND ON THIS PARTICULAR FLT. WE ALSO HAD 2 PLTS ON THE JUMP SEAT. SINCE THERE WAS NO DISAGREEMENT FROM THE OTHER PLTS WE COMPLETED THE BEFORE TKOF CHKLIST AND MADE OUR TURN ONTO THE RWY. JUST AS WE BEGAN INCREASING THRUST TO BEGIN OUR TKOF ROLL WE OBSERVED ANOTHER ACFT; (A GULFSTREAM OR FALCON JET) ENTERING THE RWY IN FRONT OF US AT ANOTHER INTXN ON THE OPPOSITE SIDE OF THE RWY FROM WHICH WE HAD ENTERED. (WE NEVER HEARD THE TWR GIVE ANY INSTRUCTION TO THAT ACFT.) WE REDUCED TO IDLE PWR AND HELD OUR POS ON THE RWY. WE QUERIED THE TWR AS TO WHY THE OTHER ACFT WAS ON THE RWY. AT THAT POINT THE TWR TOLD US THAT HE NEVER GAVE US TKOF CLRNC; AND THE ONLY ACFT THAT HE HAD TALKED TO WAS THE FALCON'S CLRNC INTO POS AND HOLD. TWR THEN CLRED THE FALCON FOR TKOF AND INSTRUCTED US TO CLR THE RWY TO THE L AND TAXI BACK TO THE DEP END OF RWY 12R. AFTER TAXIING OFF ALL 3 PLTS CONFIRMED THEY HAD HEARD 'CLR FOR TKOF;' AND ALL 3 PLTS HEARD THE FO READ BACK THE CLRNC 'ACR XYZ CLRED FOR TKOF.' SINCE WE WERE AT THE #1 POS FOR TKOF AND ON TWR FREQ; AND AT NO TIME HEARD ANY OTHER COM BTWN THE TWR AND THE OTHER ACFT AND THE FACT WE READ BACK THE CLRNC WITH OUR CALL SIGN; WE BELIEVED THE CLRNC WAS FOR US. (WE HAD NO KNOWLEDGE TWR WAS WORKING 2 FREQS AND 2 RWYS.)