But another conservative group came to an opposing conclusion. "Allowing a tax increase to hit a certain segment of Americans and small businesses is not a solution; it is a political ploy," the Heritage Foundation said in a statement.
That appeared to be the hope of Boehner and the rest of the leadership — that by showing his rank and file is united behind the fallback bill, the speaker would be in a strong position to demand concessions from the White House in the broader endgame.
At the White House, Obama repeated that he is ready to agree to spending cuts that may cause distress among some fellow Democrats, but he saved his sharpest words for Republicans.
"Goodness, if this past week has done anything, it should just give us some perspective," he said in a reference to the shootings of schoolchildren in Connecticut.
Speaking of Republicans, he said: "It is very hard for them to say yes to me. But at some point, they've got to take me out of it."
He added: "I'm often reminded when I speak to the Republican leadership that the majority of their caucus' membership come from districts that I lost. And so sometimes they may not see an incentive in cooperating with me, in part because they're more concerned about challenges from a tea party candidate, or challenges from the right, and cooperating with me may make them vulnerable."
Nor did Boehner slam the door on further compromises in his brief appearance before reporters. "Republicans continue to work toward avoiding the fiscal cliff," he said.
In the talks to date, Obama is now seeking $1.2 trillion in higher tax revenue, down from the $1.6 trillion he initially sought. He also has softened his demand for higher tax rates on household incomes so they would apply to incomes over $400,000 instead of the $250,000 he cited during his successful campaign for a new term.
He also has offered more than $800 billion in spending cuts over a decade, half of it from Medicare and Medicaid, $200 million from farm and other benefit programs, $100 billion from defense and $100 billion from a broad swath of government accounts ranging from parks to transportation to education.
In a key concession to Republicans, the president also has agreed to slow the rise in cost-of-living increases in Social Security and other benefit programs, at a savings estimated at about $130 billion over a decade.
By contrast, Boehner's most recent offer allowed for $1 trillion in higher taxes over a decade, with higher rates for annual incomes over $1 million. His latest offer seeks about $1 trillion in spending cuts.
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