Hearts and Partick Thistle have failed to overturn their relegation following an arbitration case.
A panel has decided the promotions of Dundee United, Raith Rovers and Cove Rangers should stand with Stranraer's relegation also confirmed.
The pair took legal action against the Scottish Professional Football League after being consigned to the drop as a result of the vote by clubs to curtail the season amid the coronavirus pandemic.
A Court of Session hearing resulted in the case being referred to a three-person arbitration panel convened under the Scottish Football Association rules with a private hearing taking place last week.
Dundee United welcomed the "decisive" verdict after being embroiled in the legal action along with Raith and Cove.
United, who will now kick off their Premiership campaign against St Johnstone on Saturday, added: "We are pleased that today's decision by the tribunal brings this matter to a close, not just for us but for the whole of Scottish football."
The SPFL welcomed the ruling with chief executive Neil Doncaster describing it as a "clear, comprehensive and unanimous decision".
"I am absolutely delighted that our approach has been vindicated throughout, following an intense period of legal scrutiny and review," he added.
League chairman Murdoch MacLennan added: "The panel heard from many witnesses, including senior figures from across our game and three members of the SPFL executive team. Thousands of pages of evidence were considered.
"I'm therefore very pleased that the tribunal unanimously held that the challenges to the written resolution of 15 April 2020 failed, and that the SPFL were entitled to pass, and give effect to, the written resolution and all that flowed from it."
