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“While I will negotiate over many things, I will not have another debate with this Congress over whether or not they should pay the bills that they’ve already racked up through the laws that they passed,” Mr. Obama said. “If Congress refuses to give the United States government the ability to pay these bills on time, the consequences for the entire global economy would be catastrophic — far worse than the impact of a fiscal cliff. We can’t go down that path again.”

Sen. Patrick J. Toomey, Pennsylvania Republican, who voted for the cliff deal, said GOP lawmakers must force Mr. Obama to accept spending cuts even if it means refusing to raise the debt limit.

“We Republicans need to tolerate a temporary, partial government shutdown,” Mr. Toomey said on MSNBC’s “Morning Joe. “It’s disruptive, but it’s a hell of a lot better than the path we’re on. We absolutely have to have this fight over the debt limit.”