"Hardship discharge" refers to the situation when a person is released early from their responsibilities or obligations due to facing significant difficulties or challenges that make it extremely difficult for them to continue. Full definition
Admittedly, I've held this old assumption as well and have said for years that an undue hardship discharge is not possible for many. (getoutofdebt.org)
Section 3 (b) says, «By July 1, 2015, the Secretary of Education shall issue information highlighting factors the courts have used in their determination of undue hardship, to assist parties who must determine whether to contest an undue hardship discharge in bankruptcy of a Federal student loan.» (rebuildcreditscores.com)
There is more information in this 2015 Department summary of the undue hardship discharge of student loans. (studentloanborrowerassistance.org)