The offensive came as Islamists buoyed by parliament's ouster of liberal-backed prime minister Ali Zeidan yesterday moved to consolidate their new-found power.
The premier fled the country as the General National Congress approved the Islamist-sponsored no-confidence motion, stopping briefly in Malta before flying on to another European country, Maltese Prime Minister Joseph Muscat said.
The GNC named Defence Minister Abdullah al-Thani caretaker premier for the two weeks it now has to agree on a permanent successor.
In the absence of a large enough regular army force to take on the heavily armed rebels, the advance guard of the task force is composed largely of militia loyal to the GNC.
Rebel fighters of the Cyrenaica Defence Force pulled back to the eastern region's historic border yesterday after militiamen of the Libya Shield Force pushed them out of the central coastal city of Sirte, a rebel commander told AFP.
The advancing force was "a tribal militia, not a regular army unit", he said, asking not to be identified.
"Our forces have pulled back to Wadi Lahmar," some 90 kilometres east of Sirte, he added.
The town lies on the historic border between Tripolitania and the Cyrenaica region, whose pre-1963 autonomy the rebels want restored.
The chairman of Sirte city council, Abdelfattah al-Siwi, said there had been a "brief confrontation" between the rival fighters before the rebels withdrew.
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