Husband cosigned ex-wife's private student loan. She's not paying. Can he file BK to relieve his obligation?

She agreed to assume responsibility for the student loan through the divorce decree. Now she isn't making payments and it's destroying my husband's credit; so badly that we cannot refinance our home (or get credit for anything). We have very little debt, but she has made it apparent she won't pay. How else can he... show more She agreed to assume responsibility for the student loan through the divorce decree. Now she isn't making payments and it's destroying my husband's credit; so badly that we cannot refinance our home (or get credit for anything). We have very little debt, but she has made it apparent she won't pay. How else can he get out from under this?
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