Dartford's plan to make life difficult for Chester FC and strike on the counter worked to a tee, securing them a precious three points in the fight for survival.
Chester didn't get close to top gear but still managed to create enough opportunities to put the game to bed long before an own goal with 89 minutes on the clock consigned them to a grim defeat.
Steve Burr had made two changes to the team that started at the weekend with Craig Mahon and John Rooney replacing the injured George Thomson and Kane Richards.
After an uneventful start to the game, the Blues began to take control with Rooney's low strike forcing Ibrahinm into action for the first time on 11 minutes.
Brad Abbott had a shot deflected behind and Oli McBurnie couldn't quite able to turn Mahon's cross on target with an outstretched boot as Chester kept forcing matters.
Dartford's five-man midfield worked hard to restrict space but the Blues short, sharp passing game continued to create opportunities.
Ibrahim denied Mahon from 20 yards and then made two good stops in quick succession, turning Matty Hughes shot behind and pushing McBurnie's header out from the corner that followed.
With the Darts not showing much attacking intent, Ryan Higgins was able to push on down the right and his cross should have resulted in McBurnie scoring but his header rolled wide.
Peter Sweeney had Jon Worsnop scrambling with a decent effort from 35 yards, which hit the side-netting but that was as close as the visitors came.
Chester had two clear chances at the back end of the half, Rooney steering Hughes' pull back inches wide from 15 yards and Ibrahim making another impressive stop to palm Mahon's behind to ensure his team went in level.
Dartford were pegged back in the opening few minutes of the second period but might have had a penalty on 51 minutes when Danny Harris' shot seemed to strike Ben Heneghan on the arm, although referee Karl Evans was confident in his rebuttal.
Two minutes later the deadlock was broken as Mahon swung over a cross from the left wing and McBurnie glanced his header past the diving Ibrahim and into the far corner of the net to give Chester the lead.
Having waited 54 minutes to get themselves in front, the Blues allowed the Darts to equalise inside 60 seconds as Nathan Green nipped in behind the back four to lob the stranded Worsnop to level the scores at 1-1.
Chester tried to find a response but should have been behind on the hour when the ball fell for Harry Crawford, whose curling shot beat Worsnop but not the crossbar.
Frustration began to show on the pitch and in the stands moving into the final quarter with decent chances for Kingsley James and Hughes going begging.
Sean McConville and Richards came on with 10 minutes to go as the Blues streamed forward in search of a winner but there was an unpleasant twist at the death.
Dartford won a corner with 89 minutes on the clock and Danny Harris flicked the ball into the danger area where it deflected past Worsnop off the unfortunate James.
Chester FC: Worsnop, Higgins, Kay, Heneghan, Touray, Abbott (Richards 79), James, Mahon, Rooney (McConville 79), Hughes, McBurnie.
Subs: Viscosi, Charnock, Hobson.
Goal: McBurnie 54.
Dartford: Ibrahim, Richards, Driver, Dallison, McAuley, Crawford (Daley 90), Bradbrook, Sweeney, Noble, Harris, Green.
Subs: Burns, Collier, Hayes, Kessell.
Goals: Green 55, Kingsley James (own goal) 89.
Booked: Crawford, Noble.
Referee: Karl Evans (Wigan)