The four-hour meeting between the military and civilian representatives in the committee yesterday ended in a deadlock with both parties refusing to budge from their respective stances.
The first amendment proposes banning military trials for civilians. The second would eliminate the need for the Supreme Council of the Armed Forces (SCAF), the Egyptian military's governing body, to approve the appointment of a defence minister.
The civilian representatives stressed the need for both amendments where as the representatives from the military side said the proposals would "undermine the army's status".
As a concession, El-Assar proposed that military trials for civilians remain only for those civilians charged with "assaulting military property."
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However, the committee's civilian representatives rejected the concession, insisting on prohibiting military trials for all civilians without exception.
All Egyptian constitutions, including the now-suspended 2012 constitution approved by a referendum in December, have allowed civilians to face military trials.
Thousands of citizens arrested by security forces during the military's temporary rule after the 2011 revolution were investigated by military prosecution, drawing domestic and international outcry.
Military representatives justify the article on the grounds that the constitution also grants the judiciary the right to approve its appointed leader.
Former presidential candidate and committee member Amr Moussa suggested that an ad-hoc committee be formed to discuss the disagreements.
The constitution-amending committee, announced in early September by the country's interim presidency, is tasked with amending controversial articles in the now-suspended 2012 constitution.
An amended constitution draft, according to the interim government's roadmap that was implemented following the ouster of President Mohammed Morsi, should be ready for a national referendum within 60 days of the committee's formation.