(CNN) Sudan's ruling military council will prosecute deposed President Omar al-Bashir but will not extradite him, a military officer said Friday.

In a press conference, the head of transitional military council's political committee Lt. General Omar Zein Alabedin vowed to try Bashir, forced out of power in a military coup on Thursday morning, and said that the army would help pave the path to democratic transition.

Bashir faces five counts of crimes against humanity and two counts of war crimes at the International Criminal Court (ICC) in The Hague in connection with Sudanese military actions in Darfur between 2003 and 2008.

Sudan's President Omar al-Bashir looks on as he receives his Egyptian counterpart at Khartoum International Airport outside the Sudanese capital on October 25, 2018.

The United Nations human rights office called on Sudan on Friday to cooperate with the ICC. "We do encourage the authorities in Sudan to fully cooperate with the ICC. There is a Security Council resolution as far back as 2005 calling on the government of Sudan to fully cooperate with and provide assistance," UN human rights spokeswoman Ravina Shamdasani said in a Geneva press briefing.

The ICC issued two arrest warrants for Bashir, first in March 2009 and then in July 2010. It now considers him to be "at large."

Joy turns into fear

Protesters who rushed on to the streets to celebrate the ouster of the Sudanese strongman are facing the prospect of a long struggle ahead as the military figures who ended his 30-year rule seem to be preparing to hang on to power.

As news of Bashir's downfall was still reverberating around the world, a military council dissolved the government, suspended the country's constitution and declared a three-month state of emergency. The military said it will remain in control for at least two years to oversee a "transition of power," leading to dismay from protesters and outside observers that elections will not be held anytime soon.

Regime forces and regime-aligned militia killed 16 protesters and 20 were injured from "stray bullets" in Thursday and Friday's ongoing protests, Sudan's police spokesman General Hashim said on Saturday. Two of the dead were killed in Khartoum, one died in Atbara and eight were killed in Darfur, according to the Central Committee of Sudan Doctors.

Sudanese protesters gather near the military headquarters in Khartoum as they continue to rally demanding a civilian body to lead the transition to democracy one day after a military council took control of the country, on April 12, 2019.

In a statement, the African Union said that a military takeover "is not the appropriate response to the challenges facing Sudan and the aspirations of its people."

It added that Sudan was a signatory to international treaties which "strongly condemn any unconstitutional change of Government and commit member states to the respect of the rule of law, democratic principles and human rights."

On Thursday, protesters celebrating their victory over Bashir quickly turned to chanting against the country's defense minister, Awad Mohamed Ahmed Ibn Auf, who made a statement explaining the military's seizure of power on state TV. Ibn Auf was sworn in as head of the military transitional council hours later.

"The people want to topple Ibn Auf," a crowd chanted in Khartoum.

The group that has been leading the anti-government protests, the Sudanese Professionals Association, or SPA, has rejected the "coup declaration," and has called on people to press on with demonstrations and to stage a sit-in outside military headquarters.

The group said protests would continue until "power is handed over to a civilian transitional government."

"The regime has conducted a military coup to reproduce the same faces and entities that our great people have revolted against," the SPA, an umbrella organization of doctors, lawyers and journalists, said in a statement, Thursday. "Those who destroyed the country and killed its people want to appropriate every drop of blood shed by the great people of Sudan during their revolution."

Speaking to CNN, activist Omar al-Neel said that "the street refuses totally the announcement by Ibn Auf."

"All Sudanese people are in the street and demanding the downfall of the regime and not recycling the same people," he said.

Late Friday, in a statement on state news, Ibn Auf announced he would step down from his position as the head of the military transitional council, appointing Lt. Gen. Abdel Al-Fatah Abdel Rahman Burhan as the council's new head. Ibn Auf also said he released the deputy head of the transitional military council, Kamal Abedel Maarouf, from his duties.

Key 'test' for military

The US said Thursday that it had ordered the departure of all non-emergency US government personnel from Sudan following the coup against President Bashir. The State Department also raised its travel advisory to the highest level -- Level 4: Do Not Travel.

The UK also warns against "all but essential travel to Khartoum and all remaining areas of Sudan."

State Department spokesman Robert Palladino said the US is "monitoring" the situation and that the "big focus for the United States right now is the safety and welfare of our embassy team on the ground as well as private citizens, American citizens in Sudan."

He added that "the Sudanese people should determine who leads them and their future," and that they "should be allowed to do so sooner than two years from now."

Human Rights Watch associate Africa director Jehanne Henry said how the new Sudanese authorities handled protests against them would be a key "test" for the new regime.

Sudanese demonstrators cheer as they drive towards a military vehicle.

"Protestors watching are right to be skeptical," she said, adding that Ibn Auf "doesn't have a good record at all ... the US has sanctioned him for his role in Darfur atrocities."

On Friday morning, the UN Security Council was set to discuss developments in Sudan in closed door discussions, according to the United Kingdom Mission to the United Nations.

Jonathan Allen, UK deputy permanent representative to the United Nations, said Thursday that "the main message again is there must be no violence against those protesters."

"The change proposed by the military isn't enough. It's not enough to say that it's a two-year transition to civilian rule is adequate," Allen said. "We need to see much faster transition. We need to see civilian rule now. That's what the protesters have been calling for, and that is what we need to do."

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Fall of a dictator

Bashir took control after a coup in 1989 and became President in 1993. He stands accused of conducting a campaign of ethnic cleansing in the country's Darfur region, and was nearly arrested in 2015 while visiting South Africa.

At 3:30 a.m. Thursday, Bashir was visited by the heads of his four main security apparatuses and was told "there was no alternative" but for him to step down, two senior military sources with direct knowledge of the conversation told CNN.

According to the sources, Bashir responded by saying "with the blessings of God," an expression of acquiescence in Islamic tradition.

Bashir is under house arrest, according to sources. His personal guard has been replaced and is under close watch, sources added. Sudanese Prime Minister Mohamed Taher Ayala and Ahmed Haroun, the head of the ruling National Congress Party, were among dozens of officials who were also arrested, a top military official with direct knowledge of the arrests told CNN.

CNN's stringer in Khartoum witnessed military troops storming the Islamic Movement headquarters, the main component of the ruling party.

The Sudanese Intelligence Agency said it ordered the release of all political detainees, the official Sudan News Agency, or SUNA, reported Thursday. More than 3,000 people have been arrested since protests began in December, based on testimony CNN gathered from activists, lawyers and victims.