user: ### NOW ANSWER:
Question: What is the lowest number of total championships of the university with 2 men's and more than 2 women's?
Columns: ['University', "Men's", "Women's", 'Runner-up', 'Total Championships']
Types: ['text', 'real', 'real', 'real', 'real']
Sample row: ['Far Eastern University', 3.0, 2.0, 4.0, 5.0]
SQL:

assistant: SELECT MIN("Total Championships") FROM "Table" WHERE "Men's" = 2.0 AND "Women's" > 2.0;