Story highlights News of another top-level resignation surfaces, but it is swiftly denied Mekki says he submitted his resignation last month, but stayed on He says his profession as judge didn't jibe with politics The new constitution is doing away with the VP job Egyptian Vice President Mahmoud Mekki is stepping down from his post, state-run Nile TV announced Saturday, amid a second round of voting on the country's Islamist-backed draft constitution.