Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Situational Awareness; Training / Qualification
Conflict NMAC
Flight Crew Took Evasive Action
Human Factors
I was sitting in the jumpseat located directly behind the Captain and First Officer's seats. The PF (Pilot Flying) was the First Officer. The PF (Pilot Flying) was on IOE. The Line Check Captain was the PM (Pilot Monitoring). Another First Officer was situated in the seats behind the main jumpseat.On departure; ATC asked if we had traffic in sight. From my seat; the jumpseat; I could not see this traffic. The Captain reported 'traffic in sight'. ATC then issued us a further climb at our discretion through 7;000 ft.; provided we maintained visual separation from that traffic. The PM read back the climb clearance. The autopilot was engaged. The PF and PM continued the climb on course. This triggered an RA; presumably with the aircraft we were told to maintain visual separation from. The RA required us to stop our climb immediately and descend. [Neither] the PF nor PM appeared to react immediately to the RA. The Check Airman did not take control of the aircraft. I do not recall hearing any communication between the PF and PM. The aircraft continued to climb. Seeing a lack of a response and not being able to see the traffic ourselves nor resolve the RA; the other First Officer and I (from the jumpseats) both repeatedly yelled out 'PUSH DOWN!' 'TURN OFF THE AUTOPILOT' and 'DESCEND!'. The PF somewhat [casually] turned off the autopilot; stopped the climb; and initiated a descent. I think we came within 300 ft. of vertical separation from the other aircraft. The PM reported the RA to ATC. The flight appeared to continue as normal from this point forward.
B767 First Officer in the cockpit jump seat reported an NMAC during climb.