Complex sentence: USC's claims as the "oldest educational institution or school in Asia" has been a long time subject of disputes from the University of Santo Tomas in Manila who on the other hand claims to be the "oldest university in Asia".
Split into simpler sentences: USC's claims as the "oldest educational institution or school in Asia" has been a long time subject of disputes from the University of Sto. Tomas who on the other hand claims to be the "oldest university in Asia".