Medium Large Transport
Flight Crew Air Transport Pilot (ATP)
Training / Qualification; Situational Awareness; Confusion
Aircraft Equipment Problem Less Severe; Deviation / Discrepancy - Procedural Published Material / Policy
Aircraft Equipment Problem Dissipated
Aircraft; Chart Or Publication; Human Factors
We were starting the number 2 engine at the beginning of 16R in ZZZ.  While starting the engine tower called and cleared us for takeoff.  We had been waiting for our EDCT (Expected Departure Clearance Time) time to ZZZ1 and were being released a little early.  I responded that we were just starting our second engine and that we would need a bit.  Tower said that's fine but that we were still cleared for takeoff when ready.  I let the aircraft roll up to the runway while we were in the engine start.  After the checklists were complete and the needed warm up time we took the runway.  It was the FO's (First Officers) leg so once lined up I said 'your controls'.  We were doing a rolling takeoff.  Just as he was about to; or had pushed the power up we got an advisory message that said 'fuel feed 2 fault'. As it was not a warning or caution or any other item we had briefed for a rejected takeoff I told him to continue.  Once at a safe altitude and cleaned up after takeoff I ran the QRH for the message that remained.  The QRH said 'Don't takeoff' end of procedure.I don't really have an answer for this.  From the folks I've talked to more about this the advisory message we received should have come on sooner or not at all till after we were above a certain altitude.
Cleared for takeoff; I advanced thrust for takeoff. As we started rolling we got a fuel pump something status message (not a warning or caution or anything we should abort for). I called it out. Captain says continue. I did. After cleaning the plane up CA (Captain) pulls out the QRH to read up on that status message. It ends with 'DO NOT TAKE OFF'. Got to ZZZ1 where MX cleared the message. One cannot memorize all status messages. As it wasn't a warning or caution or anything that affected the safe outcome of flight the CA decided to continue. It was not an abort worthy item per the sop as such we continued. If it should be then it should be added to the SOPM.
During the takeoff roll a flight crew receives an advisory message yet continues the takeoff. Once at altitude it is discovered that the message should have warranted a rejected takeoff procedure and the crew should have remained on the ground.