"The withdrawal will start from February 1 and continue until end of April", Hanafi told reporters in Moscow.
"We understand that the government in Kabul needs to be part of these negotiations, we wish that they would have been here today", the former president was quoted as saying, adding it's an issue that the Taliban and the government must resolve.
Regarding a Taliban official's claim reported by the media on Wednesday that the USA has promised to withdraw from Afghanistan in two months, Jan dismissed it as a Taliban propaganda. "Everything" must include an intra-Afghan dialogue and comprehensive ceasefire".
But Hanefi later denied that he had made the comment, saying, "Until now we did not agree" on a USA withdrawal.
It comes as broader peace talks involving the Taliban's political office in the Qatari capital, Doha, appear to be gaining momentum, despite the Taliban's continued refusal to meet directly with Afghan government representatives. "We can find complete peace in Afghanistan".
Hamid Karzai said the talks will hopefully lead to a decision that puts the people of Afghanistan in charge of their country and its government.
The Taliban on Wednesday hailed two days of unprecedented talks with Afghan politicians as "very successful", despite disagreements over women's rights and its demands for an Islamic constitution in the war-torn country.
Senators from across party lines in the United States recently backed an amendment opposing the USA president's plan to pull troops out of Syria and Afghanistan with a decisive majority, underlining that the troop withdrawal could allow the Islamic State of Iraq and the Levant (ISIL, also known as ISIS) group and al-Qaeda to regroup and destabilize not only Afghanistan but the Middle East.
"Great nations do not fight endless wars", Trump said in his annual State of the Union address to Congress on Tuesday.
Stanikzai said that he believed the Donald Trump administration wanted to "bring peace to Afghanistan" as he has overseen several meetings with US Special Envoy for Afghanistan Reconciliation Zalmay Khalilzad in recent months.
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The sheer optics of the United States, which for the better part of the two decades has been fighting the Taliban, now recognizing the insurgent group as a legitimate interlocutor while ignoring the claims of the Ghani government can be quite damaging for broader American foreign and security policy.
If the govt in Kabul is not directly involved, do talks, or the government, have any legitimacy? The quid pro quo for the Taliban to officially and finally break ties with al-Qaeda and its affiliates could be the withdrawal of American soldiers.
Taliban spokesperson Mohammad Abbas Stanikzai made a rare appearance in front of worldwide media.
"They can go to school, they can go to universities, they can work", he added.
"There is no need to reinterpret Afghan women's lives", the statement said.
The Moscow conference was the Taliban's most significant engagement with Afghan leaders in years. "They can say what they want".
In a bid to assuage fears of a US cave-in to the Taliban, US Secretary of State Mike Pompeo spoke with Ghani in Kabul late Tuesday.
"The people who are in Moscow, including the Taliban and Afghan politicians, have one thing in common: they are all against Ghani", Yunus Fakur, a Kabul-based Afghan analyst, told DW.
Mr Stanikzai has overseen a series of meetings with the United States special envoy for Afghan reconciliation, Zalmay Khalilzad, in recent months. The 10-year conflict, which saw Moscow intervene in support of the Afghan communist government, claimed the lives of more than 14,000 Soviet troops and is seen in Russian Federation as a huge foreign policy blunder.
Their military partnership was "unwavering" and would remain until a lasting and inclusive peace was achieved, he said.