What is a conflicted domain name?
A conflicted name is a shorter .nz name direct at the second level that has equivalents registered in at least two second levels. E.g. for anyname.nz, one registrant may hold anyname.co.nz while others may hold anyname.org.nz and anyname.school.nz.
If you want to try and get the shorter version of the name you will need to go through the Conflicted Name Process.