A person will qualify for State Pension (contributory) if they have paid a sufficient number of PRSI contributions at an appropriate class (e.g. class A).
Public and Civil servants recruited before 1995 generally pay a reduced PRSI contribution (class B or D), and do not qualify for a State Pension (contributory).
Qualification for State Pension (non-contributory) is dependant on a means test. If the occupational pension was low, and there were no other means, a person may qualify for part of a state pension (non-con).
Im assuming that when you use the word "superannuation" it means that you are an employee somewhere in the greater public service. So Ill move this post from PRSAs and Pensions to Public Sector Pensions.
What gigiman says above is correct is but I would add that there are some superannuation schemes in the Public Sector (commercial semi states) whos members have payed the full rate of PRSI since the early 1970's and as such are entitled to the State Contributory Pension.