Which of the following statements are correct?

A. Nathmuni is the author of the Nyayatattva which gives an elaborate exposition of the philosophy of the Vishishtadvaita school.

B. Praptti is the essential doctrine of this school means absolute surrender to god.

C. The sect founded by Nathmuni was known as the Aghora.

D. Nathmuni was one of the successors of Ramnuja.

E. Nathmuni was inspired by the songs of Sathakopa.

Choose the correct answer from the options given below: