Ulster Bank do clearing for PTSB IIRC which might explain the speed - BUT did you know that there is a difference between a lodgment showing on your account and the actual money being available to withdraw / spend? The banks declare a 3 to 5 (some staff say 7) working-day clearing delay which is the difference between the date a transaction is presented or lodged at a branch and cleared funds being available.
In my opinion if the lodgement shows up tomorrow (unlikely) you'll probably still have to wait for it to clear before you can use it.