Brahma Sutras (also known as Vedanta Sutras) have very profound significance in Vedanta Darshan. They systematize and summarize the spiritual and philosophical teaching of Upanishads. It is considered as Nyaya (Yukti or logic) Prasthana in Prasthanatrayi of Vedanta.
Badarayana (Vedavyasa) has discussed and refuted other doctrines which are in possible objection with Vedanta school like Pradhanakaranavada (Samkhya), Paramanukaravada (Vaisheshiki), probably Yoga, Pancharatra, Buddhism, Jainism etc.
So, I want to ask: What are all doctrines or philosophies discussed (and either supported or refuted) in Brahma Sutras?