HARARE, Zimbabwe -- Zimbabwe's President Robert Mugabe made his first public appearance since the military put him under house arrest this week, even as the military announced "significant progress" on talks for his departure and arrested some of his allies, and branches of the ruling party began to pass no-confidence votes in the world's oldest head of state.

Mugabe's appearance at a pomp-filled graduation ceremony, to polite applause, came during an extraordinary series of negotiations with regional leaders over his departure after 37 years in power.

Zimbabwe's military is taking pains to show respect for the 93-year-old leader by referring to him as the president and the commander-in-chief.

Zimbabwe President Robert Mugabe attends a university graduation ceremony in Harare, Zimbabwe, November 17, 2017. PHILIMON BULAWAYO / REUTERS

But some in the ruling ZANU-PF party signaled they were getting impatient with Mugabe, with party branches passing no-confidence votes in the provinces of Mashonaland East and Manicaland. Others among the country's 10 provinces, including Midlands, Masvingo and Harare, were said to be following suit.

Parliament is expected to resume sitting on Tuesday. It is possible that the ZANU-PF could use party procedures to impeach Mugabe with the support of opposition lawmakers.

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Mugabe has asked for "a few more days, a few more months," the chairman of the influential war veterans' association in Zimbabwe told reporters.

Chris Mutsvangwa, an ally of the recently fired Vice President Emmerson Mnangagwa who is expected to lead any new government, said that "between now and tomorrow" they will warn Mugabe that the game is over. "If he doesn't leave, we will settle the scores tomorrow."

Mutsvangwa also said three Cabinet ministers have been arrested in the military's efforts to pursue Mugabe allies. Education minister Jonathan Moyo, local government minister Saviour Kasukuwere and finance minister Ignatious Chombo "are in jail" along with a number of others. The information could not immediately be confirmed.

Friday's graduation event appeared to allow Mugabe to project the image of leadership, even as calls for his departure grew stronger. Some Zimbabweans worried that Mugabe, the only leader many have ever known, would somehow find a way to stay on.

Mugabe didn't make a speech at the ceremony, merely announcing its opening to applause after joining the crowd in the national anthem. Arriving in suit and tie, he put on an academic gown and hat and walked slowly in a red-carpet procession to a podium as a marching band played.

The military statement reported by the state-run Herald newspaper and Zimbabwe Broadcasting Corporation said its leaders were "engaging with the Commander-in-Chief President Robert Mugabe on the way forward and will advise the nation of the outcome as soon as possible."

"Significant progress has been made in their operation to weed out criminals around President Mugabe," the statement said, adding that the military had arrested some while others remained at large. They had been "committing crimes that were causing social and economic suffering in Zimbabwe."

The military is seeking top officials who had been associates of first lady Grace Mugabe, part of a clique dubbed the G40 because many were in their 40s and 50s. They are of a different generation from the one that fought for independence from white minority rule.

Grace Mugabe's rapid political rise had alarmed many who feared she could succeed her husband after he fired his longtime deputy, Mnangagwa, last week. That firing set off the military's moves.

There was no sign of the first lady at Friday's graduation ceremony.

Army troops and armored vehicles continued to patrol the capital, Harare, as Zimbabweans went about their daily business. Residents said they had feared at first when the military moved in but praised the current calm.

Headlines in some local newspapers declared the Mugabe era over. "Dawn of a new era," one said. "Mugabe remembered for brutal 37-year rule," said another.

The ongoing negotiations appear to be trying to get Mugabe to agree to hand over to a new government. But difficulties could include the timing. The ruling party is set to meet next month, and Mugabe's term ends next year. An election date has not been set.

In another striking image of the fluidity of the political situation, the Zimbabwe Herald on Thursday published photos of Mugabe jovially shaking hands with army commander Constantino Chiwenga, the general who ordered the president's arrest.

Others pictured in the first round of talks at State House, the president's official residence, include Defense Minister Sydney Sekeramayi, Intelligence Minister Kembo Mohadi, South African Cabinet ministers who are acting as mediators and a local Catholic priest, Fidelis Mukonori, whom Mugabe has used as a mediator before. Grace Mugabe was not pictured.

The military wants the process of establishing the new government to appear to be constitutional in order to maintain a veneer of legality and the approval of the 16-nation regional bloc, the Southern African Development Community, and the African Union.

As a landlocked country, regional sanctions by the bodies could be harmful to Zimbabwe's already ailing economy.

A committee of SADC on Thursday has recommended an emergency summit of heads of state to discuss the Zimbabwe situation. It was not clear when that would take place.