St. X dominated Trinity between the Brohms (Jeff and Brian). TS. Academics also not as close as you'd probably like.
Trinity does not have an entrance exam like X that denies entry to those it does not wish to educate.
Trinity has a PLACEMENT test.
As for domination.... That clearly is Trinity's word to use over its little brother
'70's THS wins 8 - 6
'80's THS wins 9 - 6
'90's X wins 7 - 4
'00's THS wins 10 - 7
20- teens THS wins 10 - 1
Trinity has won every decade back to 1970 with the exception of the 90's. Since 2000 it is 20 - 8. Rick Pitino would even laugh at X for that record against a rival. T20X8.