US President Donald Trump said that Iran had agreed to nuclear inspections into “infinity,” while Tehran said it had made no such concession in negotiations, raising questions about the viability of their fragile peace deal.

The two countries, which ended a first round of negotiations in Switzerland on Monday, also offered conflicting accounts about financial incentives for Iran, control of the Strait of Hormuz, and Israel’s parallel war in Lebanon — all major aspects of their framework deal signed last week aiming to end the war.

Nevertheless, Trump said negotiations with Iran were going smoothly. “We’re getting along quite well,” he said at a rally in Pennsylvania.

The United States also relaxed travel curbs on Iran’s World Cup soccer team, allowing it to travel from Tijuana, Mexico, to Seattle two days before its next match instead of one.

In signs of withering domestic support for the war, Trump’s poll numbers weakened while the Republican-controlled Senate defied the president and voted to halt the war, in a largely symbolic move that highlighted fissures in his party.

A Reuters/Ipsos poll found 35% of Americans think the US is now in a weaker position with Iran than before the war, while 23% believe it is in a stronger position.

The Senate vote of 50-48 endorsed a resolution passed by the House of Representatives this month, reflecting growing concern even among some of Trump’s Republicans about the unpopular conflict that began on February 28.

It was the first time both chambers of Congress had passed a resolution directing a president to remove US armed forces from hostilities under the War Powers Act, though it was not immediately clear how the votes might affect the conflict.

Rescuing seafarers

Though prospects for a lasting peace are far from certain, the initial agreement between Washington and Tehran has allowed traffic to flow again through the strait, which typically handles one-fifth of global energy supply.