There's literally no way out. They have only 2 options: default and reprice the debt, or inflate away the value of the debt with more money printing. They'll go with option 2 because option 1 would be immediately devastating to everyone and the political party that did that would be no more very quickly. The debt is owed to everyone who holds Treasury bonds, which is nearly everyone. 401ks and pension funds are heavily exposed so to default would vaporize everyone's pensions which would mean a lot of really angry voters.