Daycare subsidies are economic incentive for ultra-Orthodox men to continue yeshiva despite legal requirement to enlist.
The Justice Minister must name Chief Justice candidates by the end of the day.
He noted that the military pressure applied by Israel "since January is not enough. The state itself admitted this when it submitted an affidavit to the High Court," Ofer said.
Lapid said that if Levin refused to respect the High Court decision, he would act so that the committee convened regardless.
The High Court ordered Justice Minister Yariv Levin to start the process of appointing a Chief Justice, raising criticism from ministers and coalition members.
With the justice minister blocking Supreme Court appointments and ministers defying the attorney general, Israel's democracy faces a critical test.
The recordings showed that the IBA representative on the committee, Yechiel Katz, worked on behalf of Nave to have Mandelblit appointed.