Syrian truce under strain
Assad, in comments to French media, also said his government was ready to negotiate on "everything" at peace talks his Russian allies hope to convene in Kazakhstan, including his own position within the framework of the Syrian constitution.
But he indicated any new constitution must be put to a referendum and it was up to Syrians to elect their president.
His opponents have insisted throughout nearly six years of war he must leave power under any future peace deal. But since Russia joined the war on his side in late 2015, his government's position on the battlefield has strengthened dramatically, giving him greater leverage now than at any time since the war's earliest days.
The ceasefire which came into effect on December 30 aims to pave the way for new peace talks which Russia hopes to convene with Turkish and Iranian support. But no date has been set for the talks and the warring sides have accused each other of truce violations.
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The Moscow-led effort to revive diplomacy, without participation of the United States, emerged with Assad buoyed by the defeat of rebels in Aleppo, and as ties thaw between Russia and Turkey, long one of the rebels' main backers.
Ankara, now seemingly more worried by growing Kurdish sway in Syria than toppling Assad, supports the diplomatic push.
The latest fighting has been especially intense near Damascus where the army and allied militia are trying to capture a rebel-held area including the main water source supplying Damascus. It was bombed out of service more than two weeks ago.
Assad blamed truce violations on the insurgents and said the army must "prevent terrorists from using water to throttle the capital". He said it was the army's job to recapture the Wadi Barada area, which he said had been occupied by a jihadist group not covered by the ceasefire.
Rebels deny the area is in jihadist hands.
The United Nations has said 5.5 million people have had little or no running water for more than two weeks in Damascus. It blamed "deliberate targeting" for destroying the pump station, without saying by whom. Rebels accuse the government.
Talks between government and rebels aimed at allowing repairs to the pump station failed at the weekend and heavy air strikes were reported in the area on Sunday.
The Syrian Observatory for Human Rights, a Britain-based war monitor, reported clashes in Wadi Barada on Monday and said government forces shelled several towns there.
In Idlib province in the north, a military media unit run by Damascus's ally Hezbollah said rebel shelling killed two people in the pro-government villages of al-Foua and Kefraya.
"WE WILL NOT REMAIN SILENT"
The spokesman for one of the rebel groups that signed the ceasefire said rebel leaders had concluded they could not continue abiding the truce in what he described as a "unilateral way" and they would respond to attacks by the other side.
"Even if the agreement continues within what has been agreed on, they have full right to respond to breaches wherever they are," Mamoun Haj Musa, spokesman for the Free Syrian Army-affiliated Suqur al Sham rebel group, told Reuters.
Writing on Twitter, the head of another rebel group said rebels had agreed to the truce to spare Syrian blood. But with violence continuing, "we will not remain silent" wrote Mohamad al-Mansour, head of Jaish al-Nasr.
President-elect Donald Trump has indicated he may cut US support for rebel groups, a move that would further strengthen the position of Assad, who has consolidated his rule around the major cities of western Syria and the coast. Last month his forces captured all of Aleppo, the eastern half of which had been in rebel hands since 2012.
Swathes of Syria still remain out of his control, including the Islamic State-controlled eastern province of Deir al-Zor, large areas of northern Syria held by a Kurdish militia and pockets of rebel-held territory in the west.
Asked if government planned to recapture the Islamic State-held city of Raqqa, Assad said it was the Syrian army's role to liberate "every inch" of Syrian land. "But the question is related to when and our priorities. This is a military matter linked to military planning and priorities." he added.
The United States is backing an alliance of militias including the Kurdish YPG in a campaign aimed ultimately at recapturing Raqqa city.
TALKS CAN'T SUCCEED WITHOUT CEASEFIRE – OPPOSITION
Russia, Turkey and Iran, the three foreign powers involved in the latest peace drive, plan to divide Syria into informal zones of influence under an outline deal, sources told Reuters in Moscow last month.
But such a deal would still need buy-in from Assad, his opponents and, eventually, the Gulf States and Washington.
Rebel groups fighting under the "Free Syrian Army" banner have already frozen any discussion of their possible participation in the Astana talks.
The Syrian government dismisses opposition groups backed by Assad's enemies as foreign creations. In his comments to the French media, Assad asked: "Who will be (in Astana) from the other side? We do not yet know. Will it be a real Syrian opposition?"
Riad Nassan Agha, a member of the main Syrian opposition umbrella group, the Riyadh-backed High Negotiations Committee, said he had not heard of anyone being invited to the Astana talks yet.
"Syrians do not yet feel there is a ceasefire. The battles are continuing: the attack on Wadi Barada, on rural western Aleppo, on Idlib, on the Ghouta suburban area near Damascus, Deraa," he said. The Astana talks "cannot succeed unless the ceasefire is implemented", he added.
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