Solomona runs through to secure Warrington's 12th try of an impressive performance at Murrayfield
Warrington cruised to the top of the Super League table with a stunning 12-try demolition of hapless Salford.
Needing a 24-point victory to displace Wigan, Tony Smith's side made sure of it by running up Super League's biggest winning score of the season.
Michael Monaghan, Chris Hicks (2), Ryan Atkins, Rhys Williams, Lee Briers and Chris Riley scored first half tries.
And Richie Myler (2), Chris Bridge, and substitutes Vinnie Anderson and David Solomona did the second-half damage.
Warrington coach Tony Smith was forced into a late reshuffle when full-back Richard Mathers pulled out to travel back to Leeds to attend the birth of his first child.
It may be for less than 24 hours that Warrington are top again, if Wigan beat Huddersfield on Sunday afternoon.
But Smith's side can bask for now in another tremendous display.
Knowing they needed that 24-point victory to overtake Wigan at the top, Warrington sprinted out of the blocks, stunning Salford with two tries in the first seven minutes through hooker Monaghan and right winger Hicks.
Salford tried to stem the tide, centre Stefan Ratchford replying on 12 minutes.
But the Wolves then hit their Manchester neighbours with another three tries in seven minutes, Hicks adding his second before centre Atkins and left winger Williams also went in.
Again, Salford responded, stand-off Matty Smith reducing the arrears to 26-12 seven minutes before the break.
But there was still time for Warrington to add two more tries.
Stand-off Briers claimed the 100th try of his long career. And, just two minutes later, full-back Riley then claimed his 15th of the season - taking him level with Wigan's Pat Richards as Super League's top scorer - to go in 38-12 at the interval.
The slaughter continued as substitute Anderson and scrum-half Myler got in on the scoring act against his old club within 13 minutes of the restart to bring up the 50 mark. And still they were not finished.
Centre Bridge's try was followed two minutes later by another from Myler.
That matched the 62 points, and 11 tries, they ran up against Salford, who have now shipped 98 points in their last two games, last July.
They also ran in 11 tries in beating Harlequins 58-0 back in February.
But, four minutes from time, Solomona went one better by adding try number 12.
Salford did at least have the final word, Ratchford crossing for a second try. But it was little consolation for Warrington's well-beaten neighbours.
Salford coach Shaun McRae said:
"I never saw that coming. Too many players were off colour. We were passive defensively from the outset, which is not like us, and we never really recovered.
"We are a club that can't afford to have too many guys out and the five missing would make the 17, but it wasn't players coming into the team who didn't perform.
"We just have to put it down to one of those days. It hasn't happened to me too often and it feels a bit humiliating in many respects.
"All you can do is respond. We have a week off next week and a chance maybe to get some of those players back."
Warrington coach Tony Smith said:
"It was a really good performance. It's been a great day for all the players.
"The last time we played Salford we had a real struggle with them. But we got them at a good time today.
"They were a little light in certain positions. But you have still got to do the job and I was pleased that the players stuck to their task and played with some terrific flair."
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