Eight mass graves were found in the western city of Tarhuna, the last stronghold of warlord Khalifa Haftar before it was liberated by the Libyan army last week.
The capture of 350-km-long supply line comes days after forces of the UN-recognised government repelled a 14-month assault on Tripoli by militias loyal to warlord Khalifa Haftar.
The Libyan army earlier launched military operation, Path of Victory, to capture Sirte, Jufra and towns in Wadi Wishka, Buerat, Jarif and Qasr Abu Haid from warlord Haftar's militia.
Libya's internationally recognised government attempted new advances against the militia of retreating warlord Khalifa Haftar, who stood by in Cairo as his ally, Egyptian President Abdel Fattah al Sisi, proposed a ceasefire.
The city of Tarhuna, near Tripoli, was a major focal point for supply lines for Khalifa Haftar’s militias from Jufra airbase.
Local tribes in al Asaba had earlier announced their support to the Libyan government.
The UN Security Council also called on the warring parties in Libya's capital Tripoli to rapidly return to UN-mediated political talks.
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