Falcon 2000
Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Flight Instructor; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 80; Flight Crew Total 5100; Flight Crew Type 1100
Situational Awareness; Time Pressure; Communication Breakdown
Conflict NMAC; Deviation - Altitude Excursion From Assigned Altitude; Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance
Flight Crew Took Evasive Action
Human Factors
On our flight today ZZZ ATC leveled us off at 13;000 feet during our climb out for traffic. ATC advised the traffic was Aircraft Y at 13;500 feet. As we got close to the target the TCAS alerted us of a TA immediately followed by an RA. Watching the TCAS it got down to 100 feet of separation.The Captain immediately followed the evasive action from the alert. During the evasive maneuver I informed ATC that we received an RA due to the Aircraft Y and we are following the evasive maneuver.ATC seemed very lost and on what an RA was; after 3 attempts to tell her we received an RA; the Captain told her we received a 'Resolution Advisory which supersedes your instructions'. ATC then apologies and asks Aircraft Y their altitude; they report back at 13;400 feet.After receiving the TA I was watching the TCAS and the separation went from +3 to +2 to +1. I suspect Aircraft Y had descended from their assigned altitude of 13;500 feet.Fortunately; everyone was fine and it will make a good learning experience.
Leaving ZZZ enroute to ZZZ1 we were told to climb and maintain 13;000 feet on a heading. ATC advised us of traffic; Aircraft Y at 13;500 feet maneuvering. We never had the traffic in sight before we received a TA followed by a RA and complied immediately. During the maneuver; PNF (Pilot Not Flying) alerted ATC and was told that we were not to climb and we were restricted to 13;000 feet. After three attempts to tell ATC we were responding to an RA and that takes priority over their instructions; we finally were able to clear the confusion with the controller. ATC then apologizes and asks Aircraft Y what altitude they were at and he replied '13;400'.After the flight; I can only assume Aircraft Y had [descended] through his altitude of 13;500 feet and climbed back up. Fortunately; no one was hurt and the flight completed safely.
Falcon 2000 flight crew reported an NMAC event during departure climb. Pilot flying followed the TCAS RA and reported the incident to ATC.