The main offshoot of Bhagavatism in the schools of philosophy is Vishishtadvaita. Bhagavatism is a religious tradition in Hinduism that focuses on devotion to the deity Krishna or Vishnu. Vishishtadvaita is a school of Vedanta philosophy that was founded by Ramanuja in the 11th century. This school of thought incorporates the teachings of Bhagavatism and presents a unique interpretation of the Vedanta philosophy.

Vishishtadvaita Philosophy:
Vishishtadvaita, which means "qualified non-dualism," asserts that there is a fundamental oneness in the universe, but this oneness is qualified by the existence of individual souls and the Supreme Being. According to this philosophy, the individual souls are eternally dependent on the Supreme Being, and their ultimate goal is to attain union with the divine.

Key Points of Vishishtadvaita:
1. Qualified Non-Dualism: Vishishtadvaita proposes that the individual souls are distinct from the Supreme Being but are still connected to it. This philosophy rejects the concept of complete non-duality or absolute monism.

2. Devotion to God: Bhagavatism emphasizes devotion to Vishnu or Krishna as the path to salvation. Similarly, Vishishtadvaita places great importance on Bhakti (devotion) as a means to attain union with the Supreme Being.

3. Path of Grace: According to Vishishtadvaita, individual souls cannot attain liberation through their own efforts alone. They require the grace of the Supreme Being to achieve salvation. This grace is acquired through sincere devotion and surrender to God.

4. Rituals and Worship: Vishishtadvaita encourages the performance of rituals and worship as a way to express devotion to God. These rituals and worship practices help in purifying the mind and cultivating a deeper connection with the divine.

5. Scripture and Philosophy: The teachings of Vishishtadvaita are based on the interpretation of ancient Hindu scriptures, particularly the Vedas and the Upanishads. Ramanuja, the founder of this philosophy, wrote commentaries on these texts to explain his philosophical ideas.

Conclusion:
Vishishtadvaita, as the main offshoot of Bhagavatism, presents a unique perspective on the nature of reality and the relationship between the individual souls and the Supreme Being. It emphasizes devotion, grace, and the importance of rituals in the path to liberation. This philosophy has had a significant influence on the Bhakti movement and continues to be an important school of thought in Hindu philosophy.