Intellectual debates between rival schools

There are few instances in the history of Indian schools of thought, particularly Vedanta where there were debates and dialectical arguments some of them recorded by way of treatises produced on either side. If a debate occurs between a Guru and his Shishya, it is termed Vaadakatha, Meemamsa and Vakyartha Goshtis. The proceedings are supposed to be observed by a mediator, who knows both schools and impassionate, in turn passing a declaration about the winner, who probably argued his stand more logically and effectively. Many among such debates were sportive, except a few which were heated and ended in clashes between the supporters of either School.

We have such examples in the History of Vedanta in Southern India, which might have happened during the rule of Vijayanagar/ Nayaka dynasties. However, such debates unfortunately find a place only in Vijaya granthas, which are hegemonical in nature. It is very difficult to say whether such debates were held live, where and when in the history of our land. Some of them are debate held between Akshobhya Tirtha Vs Vidyaranya in Mulabagilu, and Vijayindra Vs Appayya Deekshitar in Kumbhakonam. 

The responses to above debates have come as passing references in books of Dvaita/ Advaita Schools of Vedanta and also Vishishtadvaita texts like Shathadushani/ Shatha bhushani, arugmenting with Advaita stalwarts of their time. Jayapatras, which either parties claim are either lost or never existed!