During the last hearing in the matter on August 28, the chief justice had accepted the mosque committee's plea seeking time to study the case afresh and adjourned the matter till September 12.
The survey is being conducted on the mosque premises barring the sealed area around the ablution pond where a purported Shivlinga-like structure was found in a 2022 May survey.
Initially, ASI was supposed to submit its survey report on Saturday, the 28th day of the investigation.
The hearing in the matter had been already concluded by the bench of Justice Prakash Padia on July 23, and had reserved the order to be delivered on Monday.
Meanwhile, the counsels of the other four Hindu women plaintiffs expressed their reservations over an out-of-court settlement of the issue.
The court also directed the ASI officials engaged in the survey not to share any information to any print, electronic or social media platforms.
Heavy security has been deployed at the Gyanvapi mosque complex as the survey is still underway by the ASI.
The SC had on Friday refused to stay the Allahabad High Court order that allowed the ASI survey of the Gyanvapi mosque, an exercise that the Muslim side says will "reopen wounds of the past.
The district judge had reserved the order and delivered it on Saturday allowing the agency to complete its survey in four weeks and also submit its report by September 2.
ASI survey began on Friday amid tight security, following Allahabad High Court's order, which allowed the ASI to conduct the survey, to determine if the mosque was built on a pre-existing temple.
SC on Friday said that ASI has clarified that the entire survey would be completed without any excavation and without causing any damage to the structure.
ASI had reached out to the Earth Sciences department of IIT-Kanpur in July to assist the agency in using ground penetration radar (GPR) for the survey.
Heavy police and paramilitary forces, including an anti-riot squad and RAF, were deployed to fortify the area around Kashi Vishwanath Dham area.
The bench also turned down the Masjid Committee’s request to direct the ASI to submit its report to the district judge in a “sealed cover”.
The ASI survey intends to go into the history as to what happened 500 years ago. It would reopen wounds of the past," Ahmadi said voicing displeasure over the survey ordered by the Allahabad High Cour
The survey, which was boycotted by members of the Anjuman Intezamia Masjid committee, began at around 7 am.
The district court order is just and proper, and there is no need to meddle with it, the High Court observed. It also asserted that no digging should be done during the survey.
Allahabad High Court Chief Justice Pritinker Diwaker passed the order noting that scientific survey was important and necessary step in the interest of justice.
The petitioners have expressed apprehensions that the Hindu signs and symbols present on mosque premises could be destroyed by non-Hindus.
The BSP chief had reacted strongly to SP MC Swami Prasad Maurya for his statement that a number of Buddhist shrines were destroyed to build the temples including Badrinath temple in Uttarakhand.