Date: 201908
Local time of day: 1201-1800
Location: ZZZ.Airport, US
Light: Daylight
Aircraft: B737 Undifferentiated or Other Model
Operator: Air Carrier
Operating under: Part 121
Flight plan: IFR
Mission: Passenger
Flight phase: Takeoff / Launch
ATC / advisory: Tower ZZZ
Second aircraft: B777 Undifferentiated or Other Model
Reporter organization: Air Carrier
Reporter function: Captain; Pilot Flying
Reporter qualification: Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Human factors: Situational Awareness; Communication Breakdown
Second reporter function: First Officer; Pilot Not Flying
Anomaly: ATC Issue All Types; Conflict Ground Conflict; Critical; Deviation / Discrepancy - Procedural Clearance
Detector: Person Air Traffic Control; Person Flight Crew
When detected: In-flight
Result: Air Traffic Control Issued Advisory / Alert
Contributing factors: Airport; Human Factors
Primary problem: Airport

Narrative: Prior to being cleared for takeoff on XXL; we heard (other carrier) landing on XXR given instructions to hold short of XXL. We were cleared for takeoff and commenced our takeoff on XXL. At approximately 10-15 knots prior to V1; we heard the tower controller give very animated and loud instructions to the (other carrier) aircraft. '(other carrier) stop stop stop! Hold your position (other carrier) stop stop stop!!' The Tower Controller then switched his attention to us and gave us the verbal instruction to abort our takeoff. I can't remember the exact wording but it was similar to '(call sign) cancel takeoff clearance.' I was unsure how much the (other carrier) aircraft had actually encroached on XXL (if any); but it appeared that they had exited XXR at 'AA' and had encroached on XXL at that intersection. Rapidly evaluating our speed; it was my judgement that a rejected takeoff by my aircraft would have us come to a stop in close proximity to 'AA'; if not potentially impact the intruding aircraft. I was confident in our ability to become airborne prior to that point and elected to continue the takeoff. I verbalized 'no; continue' to the First Officer who did not respond to ATC. Take off; clean up and departure were all normal. Flight number was substituted therefore we were (company call sign) and ATC XXXX. I didn't select any threats as I still don't know to what extent the (other carrier) aircraft actually encroached on the runway I was using. I do not know if they made an error or not. The ZZZ controller(s) were superb in their vigilance and handling of the event.


Second narrative: Prior to being cleared for takeoff on Runway XXL a (other carrier); and what appeared to be a 777; landed on XXR and was instructed to 'hold short XXL; departing traffic.' I remember (other carrier) reading back their clearance. It was Captain's leg; and power was set and the takeoff roll was uneventful up to V1 (just prior to taxiway Z). It appeared (other carrier) was exiting XXR on AA high speed and what appeared to the Control Tower; was either not going to stop/hold short of XXL or taxiing too fast that the Control Tower had to radio repeatedly '(Other carrier) STOP! (Other carrier) STOP (Other carrier) STOP'. (Other carrier) responded in a heavy accent something close to acknowledging the instructions. At which point during my crosscheck of airspeed engines and runway; they were slowing down and appeared to be clear of the runway surface and still roughly 1000' down. Approaching V1; I made my V1 call while the Tower radioed next '(Company) cancel takeoff clearance'. I received the radio call; understood the radio call; but did not respond as my next words were on inter-phone and I said 'rotate' at Vr. Captain rotated normally and lifted off (non-event) and well prior to taxiway AA. We departed normally and cleaned up the aircraft and flew the SID departure as instructed. Tower radioed '(Company) thanks for the rotation; contact Departure good day'. At level off; the Captain; jumpseater and I discussed that rejecting at a high speed and rejecting in front of an incursion aircraft was more dangerous than continuing a normal takeoff. The rest of the flight was uneventful. All radio instructions were responded to (other than mine) leading to the conclusion that (other carrier) understood the hold short instructions and was not going to cross the XXL threshold. However; we did have a (other carrier) jumpseater who flew the 777 and said it is common for the Captains to clear XXR completely as to pull as far forward to keep their tail from remaining on XXR.


Synopsis: B737 flight crew reported a runway incursion elected to continue takeoff to avoid aircraft.