HARRISBURG — A push by the state House Republican majority to bypass a months-old state budget standoff and free up $578 million for state-related universities foundered Monday as party leaders failed to attract the required two-thirds majority.

Bills containing the annual state appropriations for four universities — Penn State, Pitt, Temple and Lincoln — and the University of Pennsylvania’s veterinary school have languished as lawmakers from both major parties and Democratic Gov. Tom Wolf struggled to make a deal on a state budget.

GOP proponents of approving the university appropriations argued that negotiators for all sides supported the increases of at least 5 percent and contended that the cost could be absorbed by spending that the governor cut from a scaled-down GOP budget plan approved last month.

Wolf released most of the spending in the $30.3 billion GOP budget, including some long-delayed funding for schools and social services. He supports a $30.8 billion alternative that calls for about $500 million more in spending than the GOP plan and unspecified tax increases.

Majority Leader Dave Reed said lawmakers should approve the bills and “keep our commitment” to the universities.

Democrats said approving an appropriation for nonstate entities before a complete state budget is in place could violate the state constitution.

It’s “an exercise in wishful thinking. The money is not there,” said Rep. Dan Frankel, D-Allegheny. “We are on our way to a train wreck.”

Rep. Frank Dermody, the House minority leader, said enacting the university bills would amount to “teasing the students of the commonwealth because there’s no money to pay for it.”