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exists expression involved in a function def is not allowed to depend on allocated refs

function KeyInvariant(G:set<Node>):bool
reads G
requires graph(G)
{
forall s :: s in Blue(G) && s.accepting ==>
// TODO: How to fix this?
// a quantifier involved in a function definition is not allowed to depend on
// the set of allocated references; Dafny's heuristics can't figure out a bound for the values of 'p'
!exists p :: |p| > 1 && Path(G,s,s,p)
}

I'm currently in the process of writing something similar using dafny 4 and have this exact issue. Is there a way to solve it other than switching to dafny 3?
Thank you in advance if you ever read this :)

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