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node Sofar( X : bool ) returns ( Sofar : bool );
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let
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    Sofar = X -> X or pre Sofar;
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node Age (p: bool) returns (age_of_p: int);
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let
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 age_of_p = 0 -> if pre(p) then pre(age_of_p) - 1 else 0;
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node top (ik, im: int; p, q, r : bool) returns (OK: bool);
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--@ contract guarantees OK;
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var k,m : int;
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    env : bool;
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let
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    k = ik -> pre k;
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    m = im -> pre m;
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    env = Sofar((k>=1 and m>=1) and (Age(p)>=k => q)  and (Age(q)>=m => r));
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    OK = env => (true -> ( (Age(p)>=k+m) => r ));
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  --%MAIN;
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  --%PROPERTY  OK=true;
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