What is the name of the school with the highest number of first-time, full-time, degree-seeking female students in the cohort being tracked, minus any exclusions who were seeking another type of degree or certificate at a 4-year institution?
name of the school refers to chronname; highest number of first-time, full-time, degree-seeking female students in the cohort being tracked, minus any exclusions refers to MAX(grad_cohort WHERE gender = 'F'); seeking another type of degree or certificate at a 4-year institution refers to cohort = '4y other';
SELECT T1.chronname FROM institution_details AS T1 INNER JOIN institution_grads AS T2 ON T2.unitid = T1.unitid WHERE T2.gender = 'F' AND T2.cohort = '4y other' ORDER BY T2.grad_cohort DESC LIMIT 1