Dozens of local and worldwide divers set off just after 10am on Tuesday - the third and perhaps last day of a major rescue operation - to bring out four young footballers and their coach who remain trapped in the flooded cave in northern Thailand.
"All the thirteen Wild Boars are now out of the cave", the SEAL unit said on its Facebook page, adding all were safe.
A rescue operation was launched on Sunday when four of the boys were brought out, tethered to rescue divers.
The rescue missions take almost half a day to complete.
Rescuers have been pumping out flood waters but scattered monsoon rain has raised the danger of more water percolating back down through the limestone and coursing through the tunnels.
"All five will be brought out at the same time today", said the head of the rescue mission, Narongsak Osottanakornon, on Tuesday.More news: Trump savors big reveal for Supreme Court pick
Why did rescuers take a 17-hour break after bringing out some of the boys?
Chiang Rai Gov. Narongsak Osatanakorn says the rescue mission began at 10.08 a.m. and involves 19 divers.
One of soccer's most popular teams, Manchester United, expressed its relief over the rescue and invited the boys and their coach, as well as those who saved them, to come see the team play on their home ground this season. Monday's rescue mission, which saw four boys extracted before dusk and whisked to Chiang Rai hospital, took around nine hours.
Musk has been tweeting about the rescue mission for the last few days.
HE said the eight boys rescued are in "high spirits" and have strong immune systems because they are soccer players.
The official added that the boys met with Thai Prime Minister Prayut Chan-ocha on Monday night. "We should learn from this experience to prevent it from happening again".More news: Thai cave rescue: Four more boys extracted in second operation
Onlookers in Chiang Rai, Thailand, watch and cheer as ambulances transport some of the rescued schoolboys from a cave where they were trapped for two weeks. "They're asking for chocolate".
The first eight of the rescued boys, aged between 11 and 16, are now generally "healthy and smiling" and eating solid foods in hospital after being trapped underground for more than two weeks. One of the most risky parts of the trek is a pinch point that us just 15 inches across where the boys have to separate from the divers to fit through.
"It is made of rocket parts & named Wild Boar after kids' soccer team."British divers found the 13 a week ago.
5.42pm: The rescue chief has politely dismissed help from SpaceX founder Elon Musk, who has spent several days designing and building a small submarine to aid the rescue effort, the Guardian reports.
A retired Thai navy SEAL died Friday after he ran out of oxygen while placing compressed-air tanks along the exit route.
"This may have helped them to remain calm, maybe focus on conserving energy which is positive given the length of time they were in there and helped to protect them from those feelings of hopelessness", she said.More news: King, Queen of Belgium, Macron to attend World Cup semi-final
"The rescue has been vast", said volunteer helper Somjit Saenset (56).