Nahki Wells and Bradford City emphatically brushed aside ten-man Barnet with the most convincing of away wins to take a major step towards safety.
Goals from the excellent Craig Fagan, Will Atkinson, Kyel Reid and substitute Wells destroyed the home side who had Darren Dennehy sent off early on.
And Barnet finished fighting among themselves as Izale McLeod, who was anonymous up front, and Michael Hector had to be pulled apart.
Deane Smalley had an early effort saved by Liam O'Brien before Fagan struck from the penalty spot after 17 minutes.
The striker, back in the side after recovering from a tight hamstring, had twice been denied by Barnet defender Dennehy.
But Dennehy then brought Fagan down as he got behind him in the box and was shown a straight red card.
Fagan sent another lob just wide but Barnet's ten men seemed to be coming back into it.
Home hopes of a comeback were dashed, though, seven minutes before the break when Atkinson turned in City's second from Reid's cross.
Marcel Seip nearly headed a third soon after the break but Reid made no mistake with a glorious goal after bamboozling Paul Downing.
Wells completed the demolition job two minutes from the end finishing off Rob Kozluk's long pass, Wells hit a very good right footed shot low through the middle from the centre penalty area and scored.
Bermuda Hogges owner Paul Scope was at the game and said, “Wells came off the bench and score a really good goal.”