/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


H-Termination with start terms of the given HASKELL could be proven:

(0) HASKELL
(1) LR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) BR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) COR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) Narrow [SOUND, 0 ms]
(8) AND
    (9) QDP
        (10) TransformationProof [EQUIVALENT, 0 ms]
        (11) QDP
        (12) TransformationProof [EQUIVALENT, 0 ms]
        (13) QDP
        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (15) YES
    (16) QDP
        (17) TransformationProof [EQUIVALENT, 0 ms]
        (18) QDP
        (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (20) YES
    (21) QDP
        (22) TransformationProof [EQUIVALENT, 0 ms]
        (23) QDP
        (24) TransformationProof [EQUIVALENT, 0 ms]
        (25) QDP
        (26) TransformationProof [EQUIVALENT, 0 ms]
        (27) QDP
        (28) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (29) YES
    (30) QDP
        (31) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (32) YES


----------------------------------------

(0)
Obligation:
mainModule Main 
module FiniteMap where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;

instance (Eq a, Eq b) => Eq FiniteMap b a where { 
}
eltsFM_GE :: Ord a => FiniteMap a b  ->  a  ->  [b];
eltsFM_GE fm fr = foldFM_GE (\key elt rest ->elt : rest) [] fr fm;

foldFM_GE :: Ord c => (c  ->  b  ->  a  ->  a)  ->  a  ->  c  ->  FiniteMap c b  ->  a;
foldFM_GE k z fr EmptyFM = z;
foldFM_GE k z fr (Branch key elt _ fm_l fm_r)  | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l
 | otherwise = foldFM_GE k z fr fm_r;

}
module Maybe where {
import qualified FiniteMap;
import qualified Main;
import qualified Prelude;
}
module Main where {
import qualified FiniteMap;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\keyeltrest->elt : rest"
is transformed to
"eltsFM_GE0 key elt rest = elt : rest;
"

----------------------------------------

(2)
Obligation:
mainModule Main 
module FiniteMap where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;

instance (Eq a, Eq b) => Eq FiniteMap a b where { 
}
eltsFM_GE :: Ord b => FiniteMap b a  ->  b  ->  [a];
eltsFM_GE fm fr = foldFM_GE eltsFM_GE0 [] fr fm;

eltsFM_GE0 key elt rest = elt : rest;

foldFM_GE :: Ord c => (c  ->  b  ->  a  ->  a)  ->  a  ->  c  ->  FiniteMap c b  ->  a;
foldFM_GE k z fr EmptyFM = z;
foldFM_GE k z fr (Branch key elt _ fm_l fm_r)  | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l
 | otherwise = foldFM_GE k z fr fm_r;

}
module Maybe where {
import qualified FiniteMap;
import qualified Main;
import qualified Prelude;
}
module Main where {
import qualified FiniteMap;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(3) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.
----------------------------------------

(4)
Obligation:
mainModule Main 
module FiniteMap where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;

instance (Eq a, Eq b) => Eq FiniteMap b a where { 
}
eltsFM_GE :: Ord b => FiniteMap b a  ->  b  ->  [a];
eltsFM_GE fm fr = foldFM_GE eltsFM_GE0 [] fr fm;

eltsFM_GE0 key elt rest = elt : rest;

foldFM_GE :: Ord c => (c  ->  b  ->  a  ->  a)  ->  a  ->  c  ->  FiniteMap c b  ->  a;
foldFM_GE k z fr EmptyFM = z;
foldFM_GE k z fr (Branch key elt vy fm_l fm_r)  | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l
 | otherwise = foldFM_GE k z fr fm_r;

}
module Maybe where {
import qualified FiniteMap;
import qualified Main;
import qualified Prelude;
}
module Main where {
import qualified FiniteMap;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(5) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"
The following Function with conditions
"compare x y|x == yEQ|x <= yLT|otherwiseGT;
"
is transformed to
"compare x y = compare3 x y;
"
"compare1 x y True = LT;
compare1 x y False = compare0 x y otherwise;
"
"compare0 x y True = GT;
"
"compare2 x y True = EQ;
compare2 x y False = compare1 x y (x <= y);
"
"compare3 x y = compare2 x y (x == y);
"
The following Function with conditions
"foldFM_GE k z fr EmptyFM = z;
foldFM_GE k z fr (Branch key elt vy fm_l fm_r)|key >= frfoldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l|otherwisefoldFM_GE k z fr fm_r;
"
is transformed to
"foldFM_GE k z fr EmptyFM = foldFM_GE3 k z fr EmptyFM;
foldFM_GE k z fr (Branch key elt vy fm_l fm_r) = foldFM_GE2 k z fr (Branch key elt vy fm_l fm_r);
"
"foldFM_GE0 k z fr key elt vy fm_l fm_r True = foldFM_GE k z fr fm_r;
"
"foldFM_GE1 k z fr key elt vy fm_l fm_r True = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l;
foldFM_GE1 k z fr key elt vy fm_l fm_r False = foldFM_GE0 k z fr key elt vy fm_l fm_r otherwise;
"
"foldFM_GE2 k z fr (Branch key elt vy fm_l fm_r) = foldFM_GE1 k z fr key elt vy fm_l fm_r (key >= fr);
"
"foldFM_GE3 k z fr EmptyFM = z;
foldFM_GE3 wv ww wx wy = foldFM_GE2 wv ww wx wy;
"

----------------------------------------

(6)
Obligation:
mainModule Main 
module FiniteMap where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;

instance (Eq a, Eq b) => Eq FiniteMap b a where { 
}
eltsFM_GE :: Ord a => FiniteMap a b  ->  a  ->  [b];
eltsFM_GE fm fr = foldFM_GE eltsFM_GE0 [] fr fm;

eltsFM_GE0 key elt rest = elt : rest;

foldFM_GE :: Ord c => (c  ->  a  ->  b  ->  b)  ->  b  ->  c  ->  FiniteMap c a  ->  b;
foldFM_GE k z fr EmptyFM = foldFM_GE3 k z fr EmptyFM;
foldFM_GE k z fr (Branch key elt vy fm_l fm_r) = foldFM_GE2 k z fr (Branch key elt vy fm_l fm_r);

foldFM_GE0 k z fr key elt vy fm_l fm_r True = foldFM_GE k z fr fm_r;

foldFM_GE1 k z fr key elt vy fm_l fm_r True = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l;
foldFM_GE1 k z fr key elt vy fm_l fm_r False = foldFM_GE0 k z fr key elt vy fm_l fm_r otherwise;

foldFM_GE2 k z fr (Branch key elt vy fm_l fm_r) = foldFM_GE1 k z fr key elt vy fm_l fm_r (key >= fr);

foldFM_GE3 k z fr EmptyFM = z;
foldFM_GE3 wv ww wx wy = foldFM_GE2 wv ww wx wy;

}
module Maybe where {
import qualified FiniteMap;
import qualified Main;
import qualified Prelude;
}
module Main where {
import qualified FiniteMap;
import qualified Maybe;
import qualified Prelude;
}

----------------------------------------

(7) Narrow (SOUND)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="FiniteMap.eltsFM_GE",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="FiniteMap.eltsFM_GE wz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="FiniteMap.eltsFM_GE wz3 wz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] wz4 wz3",fontsize=16,color="burlywood",shape="triangle"];337[label="wz3/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];5 -> 337[label="",style="solid", color="burlywood", weight=9];
337 -> 6[label="",style="solid", color="burlywood", weight=3];
338[label="wz3/FiniteMap.Branch wz30 wz31 wz32 wz33 wz34",fontsize=10,color="white",style="solid",shape="box"];5 -> 338[label="",style="solid", color="burlywood", weight=9];
338 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] wz4 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] wz4 (FiniteMap.Branch wz30 wz31 wz32 wz33 wz34)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="FiniteMap.foldFM_GE3 FiniteMap.eltsFM_GE0 [] wz4 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="FiniteMap.foldFM_GE2 FiniteMap.eltsFM_GE0 [] wz4 (FiniteMap.Branch wz30 wz31 wz32 wz33 wz34)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10[label="[]",fontsize=16,color="green",shape="box"];11[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (wz30 >= wz4)",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3];
12[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (compare wz30 wz4 /= LT)",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3];
13[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (not (compare wz30 wz4 == LT))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3];
14[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (not (compare3 wz30 wz4 == LT))",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3];
15[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (not (compare2 wz30 wz4 (wz30 == wz4) == LT))",fontsize=16,color="burlywood",shape="box"];339[label="wz30/LT",fontsize=10,color="white",style="solid",shape="box"];15 -> 339[label="",style="solid", color="burlywood", weight=9];
339 -> 16[label="",style="solid", color="burlywood", weight=3];
340[label="wz30/EQ",fontsize=10,color="white",style="solid",shape="box"];15 -> 340[label="",style="solid", color="burlywood", weight=9];
340 -> 17[label="",style="solid", color="burlywood", weight=3];
341[label="wz30/GT",fontsize=10,color="white",style="solid",shape="box"];15 -> 341[label="",style="solid", color="burlywood", weight=9];
341 -> 18[label="",style="solid", color="burlywood", weight=3];
16[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 LT wz31 wz32 wz33 wz34 (not (compare2 LT wz4 (LT == wz4) == LT))",fontsize=16,color="burlywood",shape="box"];342[label="wz4/LT",fontsize=10,color="white",style="solid",shape="box"];16 -> 342[label="",style="solid", color="burlywood", weight=9];
342 -> 19[label="",style="solid", color="burlywood", weight=3];
343[label="wz4/EQ",fontsize=10,color="white",style="solid",shape="box"];16 -> 343[label="",style="solid", color="burlywood", weight=9];
343 -> 20[label="",style="solid", color="burlywood", weight=3];
344[label="wz4/GT",fontsize=10,color="white",style="solid",shape="box"];16 -> 344[label="",style="solid", color="burlywood", weight=9];
344 -> 21[label="",style="solid", color="burlywood", weight=3];
17[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 EQ wz31 wz32 wz33 wz34 (not (compare2 EQ wz4 (EQ == wz4) == LT))",fontsize=16,color="burlywood",shape="box"];345[label="wz4/LT",fontsize=10,color="white",style="solid",shape="box"];17 -> 345[label="",style="solid", color="burlywood", weight=9];
345 -> 22[label="",style="solid", color="burlywood", weight=3];
346[label="wz4/EQ",fontsize=10,color="white",style="solid",shape="box"];17 -> 346[label="",style="solid", color="burlywood", weight=9];
346 -> 23[label="",style="solid", color="burlywood", weight=3];
347[label="wz4/GT",fontsize=10,color="white",style="solid",shape="box"];17 -> 347[label="",style="solid", color="burlywood", weight=9];
347 -> 24[label="",style="solid", color="burlywood", weight=3];
18[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] wz4 GT wz31 wz32 wz33 wz34 (not (compare2 GT wz4 (GT == wz4) == LT))",fontsize=16,color="burlywood",shape="box"];348[label="wz4/LT",fontsize=10,color="white",style="solid",shape="box"];18 -> 348[label="",style="solid", color="burlywood", weight=9];
348 -> 25[label="",style="solid", color="burlywood", weight=3];
349[label="wz4/EQ",fontsize=10,color="white",style="solid",shape="box"];18 -> 349[label="",style="solid", color="burlywood", weight=9];
349 -> 26[label="",style="solid", color="burlywood", weight=3];
350[label="wz4/GT",fontsize=10,color="white",style="solid",shape="box"];18 -> 350[label="",style="solid", color="burlywood", weight=9];
350 -> 27[label="",style="solid", color="burlywood", weight=3];
19[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT LT wz31 wz32 wz33 wz34 (not (compare2 LT LT (LT == LT) == LT))",fontsize=16,color="black",shape="box"];19 -> 28[label="",style="solid", color="black", weight=3];
20[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 (not (compare2 LT EQ (LT == EQ) == LT))",fontsize=16,color="black",shape="box"];20 -> 29[label="",style="solid", color="black", weight=3];
21[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 (not (compare2 LT GT (LT == GT) == LT))",fontsize=16,color="black",shape="box"];21 -> 30[label="",style="solid", color="black", weight=3];
22[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not (compare2 EQ LT (EQ == LT) == LT))",fontsize=16,color="black",shape="box"];22 -> 31[label="",style="solid", color="black", weight=3];
23[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ EQ wz31 wz32 wz33 wz34 (not (compare2 EQ EQ (EQ == EQ) == LT))",fontsize=16,color="black",shape="box"];23 -> 32[label="",style="solid", color="black", weight=3];
24[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 (not (compare2 EQ GT (EQ == GT) == LT))",fontsize=16,color="black",shape="box"];24 -> 33[label="",style="solid", color="black", weight=3];
25[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not (compare2 GT LT (GT == LT) == LT))",fontsize=16,color="black",shape="box"];25 -> 34[label="",style="solid", color="black", weight=3];
26[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not (compare2 GT EQ (GT == EQ) == LT))",fontsize=16,color="black",shape="box"];26 -> 35[label="",style="solid", color="black", weight=3];
27[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT GT wz31 wz32 wz33 wz34 (not (compare2 GT GT (GT == GT) == LT))",fontsize=16,color="black",shape="box"];27 -> 36[label="",style="solid", color="black", weight=3];
28[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT LT wz31 wz32 wz33 wz34 (not (compare2 LT LT True == LT))",fontsize=16,color="black",shape="box"];28 -> 37[label="",style="solid", color="black", weight=3];
29[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 (not (compare2 LT EQ False == LT))",fontsize=16,color="black",shape="box"];29 -> 38[label="",style="solid", color="black", weight=3];
30[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 (not (compare2 LT GT False == LT))",fontsize=16,color="black",shape="box"];30 -> 39[label="",style="solid", color="black", weight=3];
31[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not (compare2 EQ LT False == LT))",fontsize=16,color="black",shape="box"];31 -> 40[label="",style="solid", color="black", weight=3];
32[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ EQ wz31 wz32 wz33 wz34 (not (compare2 EQ EQ True == LT))",fontsize=16,color="black",shape="box"];32 -> 41[label="",style="solid", color="black", weight=3];
33[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 (not (compare2 EQ GT False == LT))",fontsize=16,color="black",shape="box"];33 -> 42[label="",style="solid", color="black", weight=3];
34[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not (compare2 GT LT False == LT))",fontsize=16,color="black",shape="box"];34 -> 43[label="",style="solid", color="black", weight=3];
35[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not (compare2 GT EQ False == LT))",fontsize=16,color="black",shape="box"];35 -> 44[label="",style="solid", color="black", weight=3];
36[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT GT wz31 wz32 wz33 wz34 (not (compare2 GT GT True == LT))",fontsize=16,color="black",shape="box"];36 -> 45[label="",style="solid", color="black", weight=3];
37[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT LT wz31 wz32 wz33 wz34 (not (EQ == LT))",fontsize=16,color="black",shape="box"];37 -> 46[label="",style="solid", color="black", weight=3];
38[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 (not (compare1 LT EQ (LT <= EQ) == LT))",fontsize=16,color="black",shape="box"];38 -> 47[label="",style="solid", color="black", weight=3];
39[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 (not (compare1 LT GT (LT <= GT) == LT))",fontsize=16,color="black",shape="box"];39 -> 48[label="",style="solid", color="black", weight=3];
40[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not (compare1 EQ LT (EQ <= LT) == LT))",fontsize=16,color="black",shape="box"];40 -> 49[label="",style="solid", color="black", weight=3];
41[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ EQ wz31 wz32 wz33 wz34 (not (EQ == LT))",fontsize=16,color="black",shape="box"];41 -> 50[label="",style="solid", color="black", weight=3];
42[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 (not (compare1 EQ GT (EQ <= GT) == LT))",fontsize=16,color="black",shape="box"];42 -> 51[label="",style="solid", color="black", weight=3];
43[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not (compare1 GT LT (GT <= LT) == LT))",fontsize=16,color="black",shape="box"];43 -> 52[label="",style="solid", color="black", weight=3];
44[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not (compare1 GT EQ (GT <= EQ) == LT))",fontsize=16,color="black",shape="box"];44 -> 53[label="",style="solid", color="black", weight=3];
45[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT GT wz31 wz32 wz33 wz34 (not (EQ == LT))",fontsize=16,color="black",shape="box"];45 -> 54[label="",style="solid", color="black", weight=3];
46[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT LT wz31 wz32 wz33 wz34 (not False)",fontsize=16,color="black",shape="box"];46 -> 55[label="",style="solid", color="black", weight=3];
47[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 (not (compare1 LT EQ True == LT))",fontsize=16,color="black",shape="box"];47 -> 56[label="",style="solid", color="black", weight=3];
48[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 (not (compare1 LT GT True == LT))",fontsize=16,color="black",shape="box"];48 -> 57[label="",style="solid", color="black", weight=3];
49[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not (compare1 EQ LT False == LT))",fontsize=16,color="black",shape="box"];49 -> 58[label="",style="solid", color="black", weight=3];
50[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ EQ wz31 wz32 wz33 wz34 (not False)",fontsize=16,color="black",shape="box"];50 -> 59[label="",style="solid", color="black", weight=3];
51[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 (not (compare1 EQ GT True == LT))",fontsize=16,color="black",shape="box"];51 -> 60[label="",style="solid", color="black", weight=3];
52[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not (compare1 GT LT False == LT))",fontsize=16,color="black",shape="box"];52 -> 61[label="",style="solid", color="black", weight=3];
53[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not (compare1 GT EQ False == LT))",fontsize=16,color="black",shape="box"];53 -> 62[label="",style="solid", color="black", weight=3];
54[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT GT wz31 wz32 wz33 wz34 (not False)",fontsize=16,color="black",shape="box"];54 -> 63[label="",style="solid", color="black", weight=3];
55[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT LT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];55 -> 64[label="",style="solid", color="black", weight=3];
56[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 (not (LT == LT))",fontsize=16,color="black",shape="box"];56 -> 65[label="",style="solid", color="black", weight=3];
57[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 (not (LT == LT))",fontsize=16,color="black",shape="box"];57 -> 66[label="",style="solid", color="black", weight=3];
58[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not (compare0 EQ LT otherwise == LT))",fontsize=16,color="black",shape="box"];58 -> 67[label="",style="solid", color="black", weight=3];
59[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ EQ wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];59 -> 68[label="",style="solid", color="black", weight=3];
60[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 (not (LT == LT))",fontsize=16,color="black",shape="box"];60 -> 69[label="",style="solid", color="black", weight=3];
61[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not (compare0 GT LT otherwise == LT))",fontsize=16,color="black",shape="box"];61 -> 70[label="",style="solid", color="black", weight=3];
62[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not (compare0 GT EQ otherwise == LT))",fontsize=16,color="black",shape="box"];62 -> 71[label="",style="solid", color="black", weight=3];
63[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT GT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];63 -> 72[label="",style="solid", color="black", weight=3];
64 -> 151[label="",style="dashed", color="red", weight=0];
64[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 LT wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34)) LT wz33",fontsize=16,color="magenta"];64 -> 152[label="",style="dashed", color="magenta", weight=3];
65[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 (not True)",fontsize=16,color="black",shape="box"];65 -> 75[label="",style="solid", color="black", weight=3];
66[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 (not True)",fontsize=16,color="black",shape="box"];66 -> 76[label="",style="solid", color="black", weight=3];
67[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not (compare0 EQ LT True == LT))",fontsize=16,color="black",shape="box"];67 -> 77[label="",style="solid", color="black", weight=3];
68 -> 176[label="",style="dashed", color="red", weight=0];
68[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 EQ wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] EQ wz34)) EQ wz33",fontsize=16,color="magenta"];68 -> 177[label="",style="dashed", color="magenta", weight=3];
69[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 (not True)",fontsize=16,color="black",shape="box"];69 -> 80[label="",style="solid", color="black", weight=3];
70[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not (compare0 GT LT True == LT))",fontsize=16,color="black",shape="box"];70 -> 81[label="",style="solid", color="black", weight=3];
71[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not (compare0 GT EQ True == LT))",fontsize=16,color="black",shape="box"];71 -> 82[label="",style="solid", color="black", weight=3];
72 -> 83[label="",style="dashed", color="red", weight=0];
72[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] GT wz34)) GT wz33",fontsize=16,color="magenta"];72 -> 84[label="",style="dashed", color="magenta", weight=3];
152 -> 164[label="",style="dashed", color="red", weight=0];
152[label="FiniteMap.eltsFM_GE0 LT wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34)",fontsize=16,color="magenta"];152 -> 165[label="",style="dashed", color="magenta", weight=3];
151[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz33",fontsize=16,color="burlywood",shape="triangle"];351[label="wz33/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];151 -> 351[label="",style="solid", color="burlywood", weight=9];
351 -> 166[label="",style="solid", color="burlywood", weight=3];
352[label="wz33/FiniteMap.Branch wz330 wz331 wz332 wz333 wz334",fontsize=10,color="white",style="solid",shape="box"];151 -> 352[label="",style="solid", color="burlywood", weight=9];
352 -> 167[label="",style="solid", color="burlywood", weight=3];
75[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 False",fontsize=16,color="black",shape="box"];75 -> 89[label="",style="solid", color="black", weight=3];
76[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 False",fontsize=16,color="black",shape="box"];76 -> 90[label="",style="solid", color="black", weight=3];
77[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not (GT == LT))",fontsize=16,color="black",shape="box"];77 -> 91[label="",style="solid", color="black", weight=3];
177 -> 120[label="",style="dashed", color="red", weight=0];
177[label="FiniteMap.eltsFM_GE0 EQ wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] EQ wz34)",fontsize=16,color="magenta"];177 -> 187[label="",style="dashed", color="magenta", weight=3];
176[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz33",fontsize=16,color="burlywood",shape="triangle"];353[label="wz33/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];176 -> 353[label="",style="solid", color="burlywood", weight=9];
353 -> 188[label="",style="solid", color="burlywood", weight=3];
354[label="wz33/FiniteMap.Branch wz330 wz331 wz332 wz333 wz334",fontsize=10,color="white",style="solid",shape="box"];176 -> 354[label="",style="solid", color="burlywood", weight=9];
354 -> 189[label="",style="solid", color="burlywood", weight=3];
80[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 False",fontsize=16,color="black",shape="box"];80 -> 96[label="",style="solid", color="black", weight=3];
81[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not (GT == LT))",fontsize=16,color="black",shape="box"];81 -> 97[label="",style="solid", color="black", weight=3];
82[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not (GT == LT))",fontsize=16,color="black",shape="box"];82 -> 98[label="",style="solid", color="black", weight=3];
84 -> 5[label="",style="dashed", color="red", weight=0];
84[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] GT wz34",fontsize=16,color="magenta"];84 -> 99[label="",style="dashed", color="magenta", weight=3];
84 -> 100[label="",style="dashed", color="magenta", weight=3];
83[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 wz7) GT wz33",fontsize=16,color="burlywood",shape="triangle"];355[label="wz33/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];83 -> 355[label="",style="solid", color="burlywood", weight=9];
355 -> 101[label="",style="solid", color="burlywood", weight=3];
356[label="wz33/FiniteMap.Branch wz330 wz331 wz332 wz333 wz334",fontsize=10,color="white",style="solid",shape="box"];83 -> 356[label="",style="solid", color="burlywood", weight=9];
356 -> 102[label="",style="solid", color="burlywood", weight=3];
165 -> 151[label="",style="dashed", color="red", weight=0];
165[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34",fontsize=16,color="magenta"];165 -> 168[label="",style="dashed", color="magenta", weight=3];
165 -> 169[label="",style="dashed", color="magenta", weight=3];
164[label="FiniteMap.eltsFM_GE0 LT wz31 wz15",fontsize=16,color="black",shape="triangle"];164 -> 170[label="",style="solid", color="black", weight=3];
166[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];166 -> 190[label="",style="solid", color="black", weight=3];
167[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT (FiniteMap.Branch wz330 wz331 wz332 wz333 wz334)",fontsize=16,color="black",shape="box"];167 -> 191[label="",style="solid", color="black", weight=3];
89[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 otherwise",fontsize=16,color="black",shape="box"];89 -> 105[label="",style="solid", color="black", weight=3];
90[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 otherwise",fontsize=16,color="black",shape="box"];90 -> 106[label="",style="solid", color="black", weight=3];
91[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 (not False)",fontsize=16,color="black",shape="box"];91 -> 107[label="",style="solid", color="black", weight=3];
187 -> 176[label="",style="dashed", color="red", weight=0];
187[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] EQ wz34",fontsize=16,color="magenta"];187 -> 198[label="",style="dashed", color="magenta", weight=3];
187 -> 199[label="",style="dashed", color="magenta", weight=3];
120[label="FiniteMap.eltsFM_GE0 EQ wz31 wz6",fontsize=16,color="black",shape="triangle"];120 -> 136[label="",style="solid", color="black", weight=3];
188[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];188 -> 200[label="",style="solid", color="black", weight=3];
189[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ (FiniteMap.Branch wz330 wz331 wz332 wz333 wz334)",fontsize=16,color="black",shape="box"];189 -> 201[label="",style="solid", color="black", weight=3];
96[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 otherwise",fontsize=16,color="black",shape="box"];96 -> 110[label="",style="solid", color="black", weight=3];
97[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 (not False)",fontsize=16,color="black",shape="box"];97 -> 111[label="",style="solid", color="black", weight=3];
98[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 (not False)",fontsize=16,color="black",shape="box"];98 -> 112[label="",style="solid", color="black", weight=3];
99[label="wz34",fontsize=16,color="green",shape="box"];100[label="GT",fontsize=16,color="green",shape="box"];101[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 wz7) GT FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];101 -> 113[label="",style="solid", color="black", weight=3];
102[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 wz7) GT (FiniteMap.Branch wz330 wz331 wz332 wz333 wz334)",fontsize=16,color="black",shape="box"];102 -> 114[label="",style="solid", color="black", weight=3];
168[label="[]",fontsize=16,color="green",shape="box"];169[label="wz34",fontsize=16,color="green",shape="box"];170[label="wz31 : wz15",fontsize=16,color="green",shape="box"];190[label="FiniteMap.foldFM_GE3 FiniteMap.eltsFM_GE0 wz14 LT FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];190 -> 202[label="",style="solid", color="black", weight=3];
191[label="FiniteMap.foldFM_GE2 FiniteMap.eltsFM_GE0 wz14 LT (FiniteMap.Branch wz330 wz331 wz332 wz333 wz334)",fontsize=16,color="black",shape="box"];191 -> 203[label="",style="solid", color="black", weight=3];
105[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 [] EQ LT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];105 -> 117[label="",style="solid", color="black", weight=3];
106[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 [] GT LT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];106 -> 118[label="",style="solid", color="black", weight=3];
107[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT EQ wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];107 -> 119[label="",style="solid", color="black", weight=3];
198[label="[]",fontsize=16,color="green",shape="box"];199[label="wz34",fontsize=16,color="green",shape="box"];136[label="wz31 : wz6",fontsize=16,color="green",shape="box"];200[label="FiniteMap.foldFM_GE3 FiniteMap.eltsFM_GE0 wz16 EQ FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];200 -> 207[label="",style="solid", color="black", weight=3];
201[label="FiniteMap.foldFM_GE2 FiniteMap.eltsFM_GE0 wz16 EQ (FiniteMap.Branch wz330 wz331 wz332 wz333 wz334)",fontsize=16,color="black",shape="box"];201 -> 208[label="",style="solid", color="black", weight=3];
110[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 [] GT EQ wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];110 -> 122[label="",style="solid", color="black", weight=3];
111[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] LT GT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];111 -> 123[label="",style="solid", color="black", weight=3];
112[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 [] EQ GT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];112 -> 124[label="",style="solid", color="black", weight=3];
113[label="FiniteMap.foldFM_GE3 FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 wz7) GT FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];113 -> 125[label="",style="solid", color="black", weight=3];
114[label="FiniteMap.foldFM_GE2 FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 wz7) GT (FiniteMap.Branch wz330 wz331 wz332 wz333 wz334)",fontsize=16,color="black",shape="box"];114 -> 126[label="",style="solid", color="black", weight=3];
202[label="wz14",fontsize=16,color="green",shape="box"];203[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT wz330 wz331 wz332 wz333 wz334 (wz330 >= LT)",fontsize=16,color="black",shape="box"];203 -> 209[label="",style="solid", color="black", weight=3];
117 -> 176[label="",style="dashed", color="red", weight=0];
117[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] EQ wz34",fontsize=16,color="magenta"];117 -> 181[label="",style="dashed", color="magenta", weight=3];
117 -> 182[label="",style="dashed", color="magenta", weight=3];
118 -> 5[label="",style="dashed", color="red", weight=0];
118[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] GT wz34",fontsize=16,color="magenta"];118 -> 132[label="",style="dashed", color="magenta", weight=3];
118 -> 133[label="",style="dashed", color="magenta", weight=3];
119 -> 151[label="",style="dashed", color="red", weight=0];
119[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 EQ wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34)) LT wz33",fontsize=16,color="magenta"];119 -> 156[label="",style="dashed", color="magenta", weight=3];
207[label="wz16",fontsize=16,color="green",shape="box"];208[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ wz330 wz331 wz332 wz333 wz334 (wz330 >= EQ)",fontsize=16,color="black",shape="box"];208 -> 211[label="",style="solid", color="black", weight=3];
122 -> 5[label="",style="dashed", color="red", weight=0];
122[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] GT wz34",fontsize=16,color="magenta"];122 -> 139[label="",style="dashed", color="magenta", weight=3];
122 -> 140[label="",style="dashed", color="magenta", weight=3];
123 -> 151[label="",style="dashed", color="red", weight=0];
123[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34)) LT wz33",fontsize=16,color="magenta"];123 -> 157[label="",style="dashed", color="magenta", weight=3];
124 -> 176[label="",style="dashed", color="red", weight=0];
124[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] EQ wz34)) EQ wz33",fontsize=16,color="magenta"];124 -> 183[label="",style="dashed", color="magenta", weight=3];
125[label="FiniteMap.eltsFM_GE0 GT wz31 wz7",fontsize=16,color="black",shape="triangle"];125 -> 145[label="",style="solid", color="black", weight=3];
126 -> 146[label="",style="dashed", color="red", weight=0];
126[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz31 wz7) GT wz330 wz331 wz332 wz333 wz334 (wz330 >= GT)",fontsize=16,color="magenta"];126 -> 147[label="",style="dashed", color="magenta", weight=3];
209[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT wz330 wz331 wz332 wz333 wz334 (compare wz330 LT /= LT)",fontsize=16,color="black",shape="box"];209 -> 212[label="",style="solid", color="black", weight=3];
181[label="[]",fontsize=16,color="green",shape="box"];182[label="wz34",fontsize=16,color="green",shape="box"];132[label="wz34",fontsize=16,color="green",shape="box"];133[label="GT",fontsize=16,color="green",shape="box"];156 -> 120[label="",style="dashed", color="red", weight=0];
156[label="FiniteMap.eltsFM_GE0 EQ wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34)",fontsize=16,color="magenta"];156 -> 171[label="",style="dashed", color="magenta", weight=3];
211[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ wz330 wz331 wz332 wz333 wz334 (compare wz330 EQ /= LT)",fontsize=16,color="black",shape="box"];211 -> 214[label="",style="solid", color="black", weight=3];
139[label="wz34",fontsize=16,color="green",shape="box"];140[label="GT",fontsize=16,color="green",shape="box"];157 -> 125[label="",style="dashed", color="red", weight=0];
157[label="FiniteMap.eltsFM_GE0 GT wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34)",fontsize=16,color="magenta"];157 -> 173[label="",style="dashed", color="magenta", weight=3];
183 -> 125[label="",style="dashed", color="red", weight=0];
183[label="FiniteMap.eltsFM_GE0 GT wz31 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] EQ wz34)",fontsize=16,color="magenta"];183 -> 192[label="",style="dashed", color="magenta", weight=3];
145[label="wz31 : wz7",fontsize=16,color="green",shape="box"];147 -> 125[label="",style="dashed", color="red", weight=0];
147[label="FiniteMap.eltsFM_GE0 GT wz31 wz7",fontsize=16,color="magenta"];146[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT wz330 wz331 wz332 wz333 wz334 (wz330 >= GT)",fontsize=16,color="black",shape="triangle"];146 -> 193[label="",style="solid", color="black", weight=3];
212[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT wz330 wz331 wz332 wz333 wz334 (not (compare wz330 LT == LT))",fontsize=16,color="black",shape="box"];212 -> 215[label="",style="solid", color="black", weight=3];
171 -> 151[label="",style="dashed", color="red", weight=0];
171[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34",fontsize=16,color="magenta"];171 -> 194[label="",style="dashed", color="magenta", weight=3];
171 -> 195[label="",style="dashed", color="magenta", weight=3];
214[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ wz330 wz331 wz332 wz333 wz334 (not (compare wz330 EQ == LT))",fontsize=16,color="black",shape="box"];214 -> 219[label="",style="solid", color="black", weight=3];
173 -> 151[label="",style="dashed", color="red", weight=0];
173[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] LT wz34",fontsize=16,color="magenta"];173 -> 196[label="",style="dashed", color="magenta", weight=3];
173 -> 197[label="",style="dashed", color="magenta", weight=3];
192 -> 176[label="",style="dashed", color="red", weight=0];
192[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 [] EQ wz34",fontsize=16,color="magenta"];192 -> 204[label="",style="dashed", color="magenta", weight=3];
192 -> 205[label="",style="dashed", color="magenta", weight=3];
193[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT wz330 wz331 wz332 wz333 wz334 (compare wz330 GT /= LT)",fontsize=16,color="black",shape="box"];193 -> 206[label="",style="solid", color="black", weight=3];
215[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT wz330 wz331 wz332 wz333 wz334 (not (compare3 wz330 LT == LT))",fontsize=16,color="black",shape="box"];215 -> 220[label="",style="solid", color="black", weight=3];
194[label="[]",fontsize=16,color="green",shape="box"];195[label="wz34",fontsize=16,color="green",shape="box"];219[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ wz330 wz331 wz332 wz333 wz334 (not (compare3 wz330 EQ == LT))",fontsize=16,color="black",shape="box"];219 -> 224[label="",style="solid", color="black", weight=3];
196[label="[]",fontsize=16,color="green",shape="box"];197[label="wz34",fontsize=16,color="green",shape="box"];204[label="[]",fontsize=16,color="green",shape="box"];205[label="wz34",fontsize=16,color="green",shape="box"];206[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT wz330 wz331 wz332 wz333 wz334 (not (compare wz330 GT == LT))",fontsize=16,color="black",shape="box"];206 -> 210[label="",style="solid", color="black", weight=3];
220[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT wz330 wz331 wz332 wz333 wz334 (not (compare2 wz330 LT (wz330 == LT) == LT))",fontsize=16,color="burlywood",shape="box"];357[label="wz330/LT",fontsize=10,color="white",style="solid",shape="box"];220 -> 357[label="",style="solid", color="burlywood", weight=9];
357 -> 225[label="",style="solid", color="burlywood", weight=3];
358[label="wz330/EQ",fontsize=10,color="white",style="solid",shape="box"];220 -> 358[label="",style="solid", color="burlywood", weight=9];
358 -> 226[label="",style="solid", color="burlywood", weight=3];
359[label="wz330/GT",fontsize=10,color="white",style="solid",shape="box"];220 -> 359[label="",style="solid", color="burlywood", weight=9];
359 -> 227[label="",style="solid", color="burlywood", weight=3];
224[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ wz330 wz331 wz332 wz333 wz334 (not (compare2 wz330 EQ (wz330 == EQ) == LT))",fontsize=16,color="burlywood",shape="box"];360[label="wz330/LT",fontsize=10,color="white",style="solid",shape="box"];224 -> 360[label="",style="solid", color="burlywood", weight=9];
360 -> 231[label="",style="solid", color="burlywood", weight=3];
361[label="wz330/EQ",fontsize=10,color="white",style="solid",shape="box"];224 -> 361[label="",style="solid", color="burlywood", weight=9];
361 -> 232[label="",style="solid", color="burlywood", weight=3];
362[label="wz330/GT",fontsize=10,color="white",style="solid",shape="box"];224 -> 362[label="",style="solid", color="burlywood", weight=9];
362 -> 233[label="",style="solid", color="burlywood", weight=3];
210[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT wz330 wz331 wz332 wz333 wz334 (not (compare3 wz330 GT == LT))",fontsize=16,color="black",shape="box"];210 -> 213[label="",style="solid", color="black", weight=3];
225[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT LT wz331 wz332 wz333 wz334 (not (compare2 LT LT (LT == LT) == LT))",fontsize=16,color="black",shape="box"];225 -> 234[label="",style="solid", color="black", weight=3];
226[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not (compare2 EQ LT (EQ == LT) == LT))",fontsize=16,color="black",shape="box"];226 -> 235[label="",style="solid", color="black", weight=3];
227[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not (compare2 GT LT (GT == LT) == LT))",fontsize=16,color="black",shape="box"];227 -> 236[label="",style="solid", color="black", weight=3];
231[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 (not (compare2 LT EQ (LT == EQ) == LT))",fontsize=16,color="black",shape="box"];231 -> 240[label="",style="solid", color="black", weight=3];
232[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ EQ wz331 wz332 wz333 wz334 (not (compare2 EQ EQ (EQ == EQ) == LT))",fontsize=16,color="black",shape="box"];232 -> 241[label="",style="solid", color="black", weight=3];
233[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not (compare2 GT EQ (GT == EQ) == LT))",fontsize=16,color="black",shape="box"];233 -> 242[label="",style="solid", color="black", weight=3];
213[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT wz330 wz331 wz332 wz333 wz334 (not (compare2 wz330 GT (wz330 == GT) == LT))",fontsize=16,color="burlywood",shape="box"];363[label="wz330/LT",fontsize=10,color="white",style="solid",shape="box"];213 -> 363[label="",style="solid", color="burlywood", weight=9];
363 -> 216[label="",style="solid", color="burlywood", weight=3];
364[label="wz330/EQ",fontsize=10,color="white",style="solid",shape="box"];213 -> 364[label="",style="solid", color="burlywood", weight=9];
364 -> 217[label="",style="solid", color="burlywood", weight=3];
365[label="wz330/GT",fontsize=10,color="white",style="solid",shape="box"];213 -> 365[label="",style="solid", color="burlywood", weight=9];
365 -> 218[label="",style="solid", color="burlywood", weight=3];
234[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT LT wz331 wz332 wz333 wz334 (not (compare2 LT LT True == LT))",fontsize=16,color="black",shape="box"];234 -> 243[label="",style="solid", color="black", weight=3];
235[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not (compare2 EQ LT False == LT))",fontsize=16,color="black",shape="box"];235 -> 244[label="",style="solid", color="black", weight=3];
236[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not (compare2 GT LT False == LT))",fontsize=16,color="black",shape="box"];236 -> 245[label="",style="solid", color="black", weight=3];
240[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 (not (compare2 LT EQ False == LT))",fontsize=16,color="black",shape="box"];240 -> 249[label="",style="solid", color="black", weight=3];
241[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ EQ wz331 wz332 wz333 wz334 (not (compare2 EQ EQ True == LT))",fontsize=16,color="black",shape="box"];241 -> 250[label="",style="solid", color="black", weight=3];
242[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not (compare2 GT EQ False == LT))",fontsize=16,color="black",shape="box"];242 -> 251[label="",style="solid", color="black", weight=3];
216[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 (not (compare2 LT GT (LT == GT) == LT))",fontsize=16,color="black",shape="box"];216 -> 221[label="",style="solid", color="black", weight=3];
217[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 (not (compare2 EQ GT (EQ == GT) == LT))",fontsize=16,color="black",shape="box"];217 -> 222[label="",style="solid", color="black", weight=3];
218[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT GT wz331 wz332 wz333 wz334 (not (compare2 GT GT (GT == GT) == LT))",fontsize=16,color="black",shape="box"];218 -> 223[label="",style="solid", color="black", weight=3];
243[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT LT wz331 wz332 wz333 wz334 (not (EQ == LT))",fontsize=16,color="black",shape="box"];243 -> 252[label="",style="solid", color="black", weight=3];
244[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not (compare1 EQ LT (EQ <= LT) == LT))",fontsize=16,color="black",shape="box"];244 -> 253[label="",style="solid", color="black", weight=3];
245[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not (compare1 GT LT (GT <= LT) == LT))",fontsize=16,color="black",shape="box"];245 -> 254[label="",style="solid", color="black", weight=3];
249[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 (not (compare1 LT EQ (LT <= EQ) == LT))",fontsize=16,color="black",shape="box"];249 -> 258[label="",style="solid", color="black", weight=3];
250[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ EQ wz331 wz332 wz333 wz334 (not (EQ == LT))",fontsize=16,color="black",shape="box"];250 -> 259[label="",style="solid", color="black", weight=3];
251[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not (compare1 GT EQ (GT <= EQ) == LT))",fontsize=16,color="black",shape="box"];251 -> 260[label="",style="solid", color="black", weight=3];
221[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 (not (compare2 LT GT False == LT))",fontsize=16,color="black",shape="box"];221 -> 228[label="",style="solid", color="black", weight=3];
222[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 (not (compare2 EQ GT False == LT))",fontsize=16,color="black",shape="box"];222 -> 229[label="",style="solid", color="black", weight=3];
223[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT GT wz331 wz332 wz333 wz334 (not (compare2 GT GT True == LT))",fontsize=16,color="black",shape="box"];223 -> 230[label="",style="solid", color="black", weight=3];
252[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT LT wz331 wz332 wz333 wz334 (not False)",fontsize=16,color="black",shape="box"];252 -> 261[label="",style="solid", color="black", weight=3];
253[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not (compare1 EQ LT False == LT))",fontsize=16,color="black",shape="box"];253 -> 262[label="",style="solid", color="black", weight=3];
254[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not (compare1 GT LT False == LT))",fontsize=16,color="black",shape="box"];254 -> 263[label="",style="solid", color="black", weight=3];
258[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 (not (compare1 LT EQ True == LT))",fontsize=16,color="black",shape="box"];258 -> 269[label="",style="solid", color="black", weight=3];
259[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ EQ wz331 wz332 wz333 wz334 (not False)",fontsize=16,color="black",shape="box"];259 -> 270[label="",style="solid", color="black", weight=3];
260[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not (compare1 GT EQ False == LT))",fontsize=16,color="black",shape="box"];260 -> 271[label="",style="solid", color="black", weight=3];
228[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 (not (compare1 LT GT (LT <= GT) == LT))",fontsize=16,color="black",shape="box"];228 -> 237[label="",style="solid", color="black", weight=3];
229[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 (not (compare1 EQ GT (EQ <= GT) == LT))",fontsize=16,color="black",shape="box"];229 -> 238[label="",style="solid", color="black", weight=3];
230[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT GT wz331 wz332 wz333 wz334 (not (EQ == LT))",fontsize=16,color="black",shape="box"];230 -> 239[label="",style="solid", color="black", weight=3];
261[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT LT wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];261 -> 272[label="",style="solid", color="black", weight=3];
262[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not (compare0 EQ LT otherwise == LT))",fontsize=16,color="black",shape="box"];262 -> 273[label="",style="solid", color="black", weight=3];
263[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not (compare0 GT LT otherwise == LT))",fontsize=16,color="black",shape="box"];263 -> 274[label="",style="solid", color="black", weight=3];
269[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 (not (LT == LT))",fontsize=16,color="black",shape="box"];269 -> 279[label="",style="solid", color="black", weight=3];
270[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ EQ wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];270 -> 280[label="",style="solid", color="black", weight=3];
271[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not (compare0 GT EQ otherwise == LT))",fontsize=16,color="black",shape="box"];271 -> 281[label="",style="solid", color="black", weight=3];
237[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 (not (compare1 LT GT True == LT))",fontsize=16,color="black",shape="box"];237 -> 246[label="",style="solid", color="black", weight=3];
238[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 (not (compare1 EQ GT True == LT))",fontsize=16,color="black",shape="box"];238 -> 247[label="",style="solid", color="black", weight=3];
239[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT GT wz331 wz332 wz333 wz334 (not False)",fontsize=16,color="black",shape="box"];239 -> 248[label="",style="solid", color="black", weight=3];
272 -> 151[label="",style="dashed", color="red", weight=0];
272[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 LT wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334)) LT wz333",fontsize=16,color="magenta"];272 -> 282[label="",style="dashed", color="magenta", weight=3];
272 -> 283[label="",style="dashed", color="magenta", weight=3];
273[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not (compare0 EQ LT True == LT))",fontsize=16,color="black",shape="box"];273 -> 284[label="",style="solid", color="black", weight=3];
274[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not (compare0 GT LT True == LT))",fontsize=16,color="black",shape="box"];274 -> 285[label="",style="solid", color="black", weight=3];
279[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 (not True)",fontsize=16,color="black",shape="box"];279 -> 290[label="",style="solid", color="black", weight=3];
280 -> 176[label="",style="dashed", color="red", weight=0];
280[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 EQ wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz334)) EQ wz333",fontsize=16,color="magenta"];280 -> 291[label="",style="dashed", color="magenta", weight=3];
280 -> 292[label="",style="dashed", color="magenta", weight=3];
281[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not (compare0 GT EQ True == LT))",fontsize=16,color="black",shape="box"];281 -> 293[label="",style="solid", color="black", weight=3];
246[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 (not (LT == LT))",fontsize=16,color="black",shape="box"];246 -> 255[label="",style="solid", color="black", weight=3];
247[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 (not (LT == LT))",fontsize=16,color="black",shape="box"];247 -> 256[label="",style="solid", color="black", weight=3];
248[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT GT wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];248 -> 257[label="",style="solid", color="black", weight=3];
282 -> 164[label="",style="dashed", color="red", weight=0];
282[label="FiniteMap.eltsFM_GE0 LT wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334)",fontsize=16,color="magenta"];282 -> 294[label="",style="dashed", color="magenta", weight=3];
282 -> 295[label="",style="dashed", color="magenta", weight=3];
283[label="wz333",fontsize=16,color="green",shape="box"];284[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not (GT == LT))",fontsize=16,color="black",shape="box"];284 -> 296[label="",style="solid", color="black", weight=3];
285[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not (GT == LT))",fontsize=16,color="black",shape="box"];285 -> 297[label="",style="solid", color="black", weight=3];
290[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 False",fontsize=16,color="black",shape="box"];290 -> 302[label="",style="solid", color="black", weight=3];
291 -> 120[label="",style="dashed", color="red", weight=0];
291[label="FiniteMap.eltsFM_GE0 EQ wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz334)",fontsize=16,color="magenta"];291 -> 303[label="",style="dashed", color="magenta", weight=3];
291 -> 304[label="",style="dashed", color="magenta", weight=3];
292[label="wz333",fontsize=16,color="green",shape="box"];293[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not (GT == LT))",fontsize=16,color="black",shape="box"];293 -> 305[label="",style="solid", color="black", weight=3];
255[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 (not True)",fontsize=16,color="black",shape="box"];255 -> 264[label="",style="solid", color="black", weight=3];
256[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 (not True)",fontsize=16,color="black",shape="box"];256 -> 265[label="",style="solid", color="black", weight=3];
257 -> 83[label="",style="dashed", color="red", weight=0];
257[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz13 GT wz334)) GT wz333",fontsize=16,color="magenta"];257 -> 266[label="",style="dashed", color="magenta", weight=3];
257 -> 267[label="",style="dashed", color="magenta", weight=3];
257 -> 268[label="",style="dashed", color="magenta", weight=3];
294 -> 151[label="",style="dashed", color="red", weight=0];
294[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334",fontsize=16,color="magenta"];294 -> 306[label="",style="dashed", color="magenta", weight=3];
295[label="wz331",fontsize=16,color="green",shape="box"];296[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 (not False)",fontsize=16,color="black",shape="box"];296 -> 307[label="",style="solid", color="black", weight=3];
297[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 (not False)",fontsize=16,color="black",shape="box"];297 -> 308[label="",style="solid", color="black", weight=3];
302[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 otherwise",fontsize=16,color="black",shape="box"];302 -> 314[label="",style="solid", color="black", weight=3];
303[label="wz331",fontsize=16,color="green",shape="box"];304 -> 176[label="",style="dashed", color="red", weight=0];
304[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz334",fontsize=16,color="magenta"];304 -> 315[label="",style="dashed", color="magenta", weight=3];
305[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 (not False)",fontsize=16,color="black",shape="box"];305 -> 316[label="",style="solid", color="black", weight=3];
264[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 False",fontsize=16,color="black",shape="box"];264 -> 275[label="",style="solid", color="black", weight=3];
265[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 False",fontsize=16,color="black",shape="box"];265 -> 276[label="",style="solid", color="black", weight=3];
266[label="wz331",fontsize=16,color="green",shape="box"];267[label="wz333",fontsize=16,color="green",shape="box"];268[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz13 GT wz334",fontsize=16,color="burlywood",shape="triangle"];366[label="wz334/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];268 -> 366[label="",style="solid", color="burlywood", weight=9];
366 -> 277[label="",style="solid", color="burlywood", weight=3];
367[label="wz334/FiniteMap.Branch wz3340 wz3341 wz3342 wz3343 wz3344",fontsize=10,color="white",style="solid",shape="box"];268 -> 367[label="",style="solid", color="burlywood", weight=9];
367 -> 278[label="",style="solid", color="burlywood", weight=3];
306[label="wz334",fontsize=16,color="green",shape="box"];307[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT EQ wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];307 -> 317[label="",style="solid", color="black", weight=3];
308[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz14 LT GT wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];308 -> 318[label="",style="solid", color="black", weight=3];
314[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 wz16 EQ LT wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];314 -> 319[label="",style="solid", color="black", weight=3];
315[label="wz334",fontsize=16,color="green",shape="box"];316[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz16 EQ GT wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];316 -> 320[label="",style="solid", color="black", weight=3];
275[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 otherwise",fontsize=16,color="black",shape="box"];275 -> 286[label="",style="solid", color="black", weight=3];
276[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 otherwise",fontsize=16,color="black",shape="box"];276 -> 287[label="",style="solid", color="black", weight=3];
277[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz13 GT FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];277 -> 288[label="",style="solid", color="black", weight=3];
278[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz13 GT (FiniteMap.Branch wz3340 wz3341 wz3342 wz3343 wz3344)",fontsize=16,color="black",shape="box"];278 -> 289[label="",style="solid", color="black", weight=3];
317 -> 151[label="",style="dashed", color="red", weight=0];
317[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 EQ wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334)) LT wz333",fontsize=16,color="magenta"];317 -> 321[label="",style="dashed", color="magenta", weight=3];
317 -> 322[label="",style="dashed", color="magenta", weight=3];
318 -> 151[label="",style="dashed", color="red", weight=0];
318[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334)) LT wz333",fontsize=16,color="magenta"];318 -> 323[label="",style="dashed", color="magenta", weight=3];
318 -> 324[label="",style="dashed", color="magenta", weight=3];
319 -> 176[label="",style="dashed", color="red", weight=0];
319[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz334",fontsize=16,color="magenta"];319 -> 325[label="",style="dashed", color="magenta", weight=3];
320 -> 176[label="",style="dashed", color="red", weight=0];
320[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 (FiniteMap.eltsFM_GE0 GT wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz334)) EQ wz333",fontsize=16,color="magenta"];320 -> 326[label="",style="dashed", color="magenta", weight=3];
320 -> 327[label="",style="dashed", color="magenta", weight=3];
286[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 wz13 GT LT wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];286 -> 298[label="",style="solid", color="black", weight=3];
287[label="FiniteMap.foldFM_GE0 FiniteMap.eltsFM_GE0 wz13 GT EQ wz331 wz332 wz333 wz334 True",fontsize=16,color="black",shape="box"];287 -> 299[label="",style="solid", color="black", weight=3];
288[label="FiniteMap.foldFM_GE3 FiniteMap.eltsFM_GE0 wz13 GT FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];288 -> 300[label="",style="solid", color="black", weight=3];
289[label="FiniteMap.foldFM_GE2 FiniteMap.eltsFM_GE0 wz13 GT (FiniteMap.Branch wz3340 wz3341 wz3342 wz3343 wz3344)",fontsize=16,color="black",shape="box"];289 -> 301[label="",style="solid", color="black", weight=3];
321 -> 120[label="",style="dashed", color="red", weight=0];
321[label="FiniteMap.eltsFM_GE0 EQ wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334)",fontsize=16,color="magenta"];321 -> 328[label="",style="dashed", color="magenta", weight=3];
321 -> 329[label="",style="dashed", color="magenta", weight=3];
322[label="wz333",fontsize=16,color="green",shape="box"];323 -> 125[label="",style="dashed", color="red", weight=0];
323[label="FiniteMap.eltsFM_GE0 GT wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334)",fontsize=16,color="magenta"];323 -> 330[label="",style="dashed", color="magenta", weight=3];
323 -> 331[label="",style="dashed", color="magenta", weight=3];
324[label="wz333",fontsize=16,color="green",shape="box"];325[label="wz334",fontsize=16,color="green",shape="box"];326 -> 125[label="",style="dashed", color="red", weight=0];
326[label="FiniteMap.eltsFM_GE0 GT wz331 (FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz334)",fontsize=16,color="magenta"];326 -> 332[label="",style="dashed", color="magenta", weight=3];
326 -> 333[label="",style="dashed", color="magenta", weight=3];
327[label="wz333",fontsize=16,color="green",shape="box"];298 -> 268[label="",style="dashed", color="red", weight=0];
298[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz13 GT wz334",fontsize=16,color="magenta"];299 -> 268[label="",style="dashed", color="red", weight=0];
299[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz13 GT wz334",fontsize=16,color="magenta"];300[label="wz13",fontsize=16,color="green",shape="box"];301 -> 146[label="",style="dashed", color="red", weight=0];
301[label="FiniteMap.foldFM_GE1 FiniteMap.eltsFM_GE0 wz13 GT wz3340 wz3341 wz3342 wz3343 wz3344 (wz3340 >= GT)",fontsize=16,color="magenta"];301 -> 309[label="",style="dashed", color="magenta", weight=3];
301 -> 310[label="",style="dashed", color="magenta", weight=3];
301 -> 311[label="",style="dashed", color="magenta", weight=3];
301 -> 312[label="",style="dashed", color="magenta", weight=3];
301 -> 313[label="",style="dashed", color="magenta", weight=3];
328[label="wz331",fontsize=16,color="green",shape="box"];329 -> 151[label="",style="dashed", color="red", weight=0];
329[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334",fontsize=16,color="magenta"];329 -> 334[label="",style="dashed", color="magenta", weight=3];
330[label="wz331",fontsize=16,color="green",shape="box"];331 -> 151[label="",style="dashed", color="red", weight=0];
331[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz14 LT wz334",fontsize=16,color="magenta"];331 -> 335[label="",style="dashed", color="magenta", weight=3];
332[label="wz331",fontsize=16,color="green",shape="box"];333 -> 176[label="",style="dashed", color="red", weight=0];
333[label="FiniteMap.foldFM_GE FiniteMap.eltsFM_GE0 wz16 EQ wz334",fontsize=16,color="magenta"];333 -> 336[label="",style="dashed", color="magenta", weight=3];
309[label="wz3341",fontsize=16,color="green",shape="box"];310[label="wz3340",fontsize=16,color="green",shape="box"];311[label="wz3344",fontsize=16,color="green",shape="box"];312[label="wz3342",fontsize=16,color="green",shape="box"];313[label="wz3343",fontsize=16,color="green",shape="box"];334[label="wz334",fontsize=16,color="green",shape="box"];335[label="wz334",fontsize=16,color="green",shape="box"];336[label="wz334",fontsize=16,color="green",shape="box"];}

----------------------------------------

(8)
Complex Obligation (AND)

----------------------------------------

(9)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE4(wz16, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(new_eltsFM_GE00(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(new_eltsFM_GE0(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)

The TRS R consists of the following rules:

   new_eltsFM_GE00(wz31, wz6, h) -> :(wz31, wz6)
   new_foldFM_GE5(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(new_eltsFM_GE00(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE5(wz16, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(wz16, wz334, h)
   new_foldFM_GE5(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(new_eltsFM_GE0(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_foldFM_GE5(wz16, EmptyFM, h) -> wz16

The set Q consists of the following terms:

   new_foldFM_GE5(x0, Branch(GT, x1, x2, x3, x4), x5)
   new_foldFM_GE5(x0, Branch(EQ, x1, x2, x3, x4), x5)
   new_foldFM_GE5(x0, Branch(LT, x1, x2, x3, x4), x5)
   new_eltsFM_GE00(x0, x1, x2)
   new_foldFM_GE5(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(10) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(new_eltsFM_GE00(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h) at position [0] we obtained the following new rules [LPAR04]:

   (new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h),new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h))


----------------------------------------

(11)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE4(wz16, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(new_eltsFM_GE0(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h)

The TRS R consists of the following rules:

   new_eltsFM_GE00(wz31, wz6, h) -> :(wz31, wz6)
   new_foldFM_GE5(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(new_eltsFM_GE00(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE5(wz16, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(wz16, wz334, h)
   new_foldFM_GE5(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(new_eltsFM_GE0(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_foldFM_GE5(wz16, EmptyFM, h) -> wz16

The set Q consists of the following terms:

   new_foldFM_GE5(x0, Branch(GT, x1, x2, x3, x4), x5)
   new_foldFM_GE5(x0, Branch(EQ, x1, x2, x3, x4), x5)
   new_foldFM_GE5(x0, Branch(LT, x1, x2, x3, x4), x5)
   new_eltsFM_GE00(x0, x1, x2)
   new_foldFM_GE5(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(12) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(new_eltsFM_GE0(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h) at position [0] we obtained the following new rules [LPAR04]:

   (new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h),new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h))


----------------------------------------

(13)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE4(wz16, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
   new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h)
   new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h)

The TRS R consists of the following rules:

   new_eltsFM_GE00(wz31, wz6, h) -> :(wz31, wz6)
   new_foldFM_GE5(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(new_eltsFM_GE00(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE5(wz16, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(wz16, wz334, h)
   new_foldFM_GE5(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE5(new_eltsFM_GE0(wz331, new_foldFM_GE5(wz16, wz334, h), h), wz333, h)
   new_foldFM_GE5(wz16, EmptyFM, h) -> wz16

The set Q consists of the following terms:

   new_foldFM_GE5(x0, Branch(GT, x1, x2, x3, x4), x5)
   new_foldFM_GE5(x0, Branch(EQ, x1, x2, x3, x4), x5)
   new_foldFM_GE5(x0, Branch(LT, x1, x2, x3, x4), x5)
   new_eltsFM_GE00(x0, x1, x2)
   new_foldFM_GE5(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(14) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_foldFM_GE4(wz16, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


*new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


*new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(wz16, wz334, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


*new_foldFM_GE4(wz16, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h)
The graph contains the following edges 2 > 2, 3 >= 3


*new_foldFM_GE4(wz16, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE4(:(wz331, new_foldFM_GE5(wz16, wz334, h)), wz333, h)
The graph contains the following edges 2 > 2, 3 >= 3


----------------------------------------

(15)
YES

----------------------------------------

(16)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE(wz13, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE1(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
   new_foldFM_GE1(wz13, EQ, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE(wz13, wz334, h)
   new_foldFM_GE0(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE1(new_eltsFM_GE0(wz31, wz7, h), wz330, wz331, wz332, wz333, wz334, h)
   new_foldFM_GE1(wz13, LT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE(wz13, wz334, h)
   new_foldFM_GE1(wz13, GT, wz331, wz332, wz333, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE1(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
   new_foldFM_GE1(wz13, GT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE0(wz331, new_foldFM_GE2(wz13, wz334, h), wz333, h)

The TRS R consists of the following rules:

   new_foldFM_GE2(wz13, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE10(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
   new_foldFM_GE10(wz13, GT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE3(wz331, new_foldFM_GE2(wz13, wz334, h), wz333, h)
   new_foldFM_GE10(wz13, LT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE2(wz13, wz334, h)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE2(wz13, EmptyFM, h) -> wz13
   new_foldFM_GE3(wz31, wz7, EmptyFM, h) -> new_eltsFM_GE0(wz31, wz7, h)
   new_foldFM_GE10(wz13, EQ, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE2(wz13, wz334, h)
   new_foldFM_GE3(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE10(new_eltsFM_GE0(wz31, wz7, h), wz330, wz331, wz332, wz333, wz334, h)

The set Q consists of the following terms:

   new_foldFM_GE2(x0, Branch(x1, x2, x3, x4, x5), x6)
   new_foldFM_GE10(x0, LT, x1, x2, x3, x4, x5)
   new_foldFM_GE3(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
   new_foldFM_GE3(x0, x1, EmptyFM, x2)
   new_foldFM_GE10(x0, GT, x1, x2, x3, x4, x5)
   new_foldFM_GE10(x0, EQ, x1, x2, x3, x4, x5)
   new_foldFM_GE2(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(17) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_foldFM_GE0(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE1(new_eltsFM_GE0(wz31, wz7, h), wz330, wz331, wz332, wz333, wz334, h) at position [0] we obtained the following new rules [LPAR04]:

   (new_foldFM_GE0(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE1(:(wz31, wz7), wz330, wz331, wz332, wz333, wz334, h),new_foldFM_GE0(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE1(:(wz31, wz7), wz330, wz331, wz332, wz333, wz334, h))


----------------------------------------

(18)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE(wz13, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE1(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
   new_foldFM_GE1(wz13, EQ, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE(wz13, wz334, h)
   new_foldFM_GE1(wz13, LT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE(wz13, wz334, h)
   new_foldFM_GE1(wz13, GT, wz331, wz332, wz333, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE1(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
   new_foldFM_GE1(wz13, GT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE0(wz331, new_foldFM_GE2(wz13, wz334, h), wz333, h)
   new_foldFM_GE0(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE1(:(wz31, wz7), wz330, wz331, wz332, wz333, wz334, h)

The TRS R consists of the following rules:

   new_foldFM_GE2(wz13, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE10(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
   new_foldFM_GE10(wz13, GT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE3(wz331, new_foldFM_GE2(wz13, wz334, h), wz333, h)
   new_foldFM_GE10(wz13, LT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE2(wz13, wz334, h)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE2(wz13, EmptyFM, h) -> wz13
   new_foldFM_GE3(wz31, wz7, EmptyFM, h) -> new_eltsFM_GE0(wz31, wz7, h)
   new_foldFM_GE10(wz13, EQ, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE2(wz13, wz334, h)
   new_foldFM_GE3(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE10(new_eltsFM_GE0(wz31, wz7, h), wz330, wz331, wz332, wz333, wz334, h)

The set Q consists of the following terms:

   new_foldFM_GE2(x0, Branch(x1, x2, x3, x4, x5), x6)
   new_foldFM_GE10(x0, LT, x1, x2, x3, x4, x5)
   new_foldFM_GE3(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
   new_foldFM_GE3(x0, x1, EmptyFM, x2)
   new_foldFM_GE10(x0, GT, x1, x2, x3, x4, x5)
   new_foldFM_GE10(x0, EQ, x1, x2, x3, x4, x5)
   new_foldFM_GE2(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(19) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_foldFM_GE1(wz13, GT, wz331, wz332, wz333, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE1(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
The graph contains the following edges 1 >= 1, 6 > 2, 6 > 3, 6 > 4, 6 > 5, 6 > 6, 7 >= 7


*new_foldFM_GE1(wz13, GT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE0(wz331, new_foldFM_GE2(wz13, wz334, h), wz333, h)
The graph contains the following edges 3 >= 1, 5 >= 3, 7 >= 4


*new_foldFM_GE(wz13, Branch(wz3340, wz3341, wz3342, wz3343, wz3344), h) -> new_foldFM_GE1(wz13, wz3340, wz3341, wz3342, wz3343, wz3344, h)
The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 7


*new_foldFM_GE0(wz31, wz7, Branch(wz330, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE1(:(wz31, wz7), wz330, wz331, wz332, wz333, wz334, h)
The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7


*new_foldFM_GE1(wz13, EQ, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE(wz13, wz334, h)
The graph contains the following edges 1 >= 1, 6 >= 2, 7 >= 3


*new_foldFM_GE1(wz13, LT, wz331, wz332, wz333, wz334, h) -> new_foldFM_GE(wz13, wz334, h)
The graph contains the following edges 1 >= 1, 6 >= 2, 7 >= 3


----------------------------------------

(20)
YES

----------------------------------------

(21)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE0(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE01(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)

The TRS R consists of the following rules:

   new_eltsFM_GE01(wz31, wz15, h) -> :(wz31, wz15)
   new_foldFM_GE7(wz14, EmptyFM, h) -> wz14
   new_eltsFM_GE00(wz31, wz6, h) -> :(wz31, wz6)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE7(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE01(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE0(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)

The set Q consists of the following terms:

   new_foldFM_GE7(x0, Branch(GT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(LT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(EQ, x1, x2, x3, x4), x5)
   new_eltsFM_GE01(x0, x1, x2)
   new_eltsFM_GE00(x0, x1, x2)
   new_foldFM_GE7(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(22) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE0(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h) at position [0] we obtained the following new rules [LPAR04]:

   (new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h),new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h))


----------------------------------------

(23)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE01(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)

The TRS R consists of the following rules:

   new_eltsFM_GE01(wz31, wz15, h) -> :(wz31, wz15)
   new_foldFM_GE7(wz14, EmptyFM, h) -> wz14
   new_eltsFM_GE00(wz31, wz6, h) -> :(wz31, wz6)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE7(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE01(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE0(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)

The set Q consists of the following terms:

   new_foldFM_GE7(x0, Branch(GT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(LT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(EQ, x1, x2, x3, x4), x5)
   new_eltsFM_GE01(x0, x1, x2)
   new_eltsFM_GE00(x0, x1, x2)
   new_foldFM_GE7(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(24) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE01(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h) at position [0] we obtained the following new rules [LPAR04]:

   (new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h),new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h))


----------------------------------------

(25)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)

The TRS R consists of the following rules:

   new_eltsFM_GE01(wz31, wz15, h) -> :(wz31, wz15)
   new_foldFM_GE7(wz14, EmptyFM, h) -> wz14
   new_eltsFM_GE00(wz31, wz6, h) -> :(wz31, wz6)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE7(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE01(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE0(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)

The set Q consists of the following terms:

   new_foldFM_GE7(x0, Branch(GT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(LT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(EQ, x1, x2, x3, x4), x5)
   new_eltsFM_GE01(x0, x1, x2)
   new_eltsFM_GE00(x0, x1, x2)
   new_foldFM_GE7(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(26) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h) at position [0] we obtained the following new rules [LPAR04]:

   (new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h),new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h))


----------------------------------------

(27)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
   new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)
   new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)
   new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)

The TRS R consists of the following rules:

   new_eltsFM_GE01(wz31, wz15, h) -> :(wz31, wz15)
   new_foldFM_GE7(wz14, EmptyFM, h) -> wz14
   new_eltsFM_GE00(wz31, wz6, h) -> :(wz31, wz6)
   new_eltsFM_GE0(wz31, wz7, h) -> :(wz31, wz7)
   new_foldFM_GE7(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE01(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE0(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)
   new_foldFM_GE7(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE7(new_eltsFM_GE00(wz331, new_foldFM_GE7(wz14, wz334, h), h), wz333, h)

The set Q consists of the following terms:

   new_foldFM_GE7(x0, Branch(GT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(LT, x1, x2, x3, x4), x5)
   new_foldFM_GE7(x0, Branch(EQ, x1, x2, x3, x4), x5)
   new_eltsFM_GE01(x0, x1, x2)
   new_eltsFM_GE00(x0, x1, x2)
   new_foldFM_GE7(x0, EmptyFM, x1)
   new_eltsFM_GE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(28) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


*new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


*new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(wz14, wz334, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


*new_foldFM_GE6(wz14, Branch(GT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)
The graph contains the following edges 2 > 2, 3 >= 3


*new_foldFM_GE6(wz14, Branch(LT, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)
The graph contains the following edges 2 > 2, 3 >= 3


*new_foldFM_GE6(wz14, Branch(EQ, wz331, wz332, wz333, wz334), h) -> new_foldFM_GE6(:(wz331, new_foldFM_GE7(wz14, wz334, h)), wz333, h)
The graph contains the following edges 2 > 2, 3 >= 3


----------------------------------------

(29)
YES

----------------------------------------

(30)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_GE8(GT, Branch(GT, wz31, wz32, wz33, wz34), h) -> new_foldFM_GE8(GT, wz34, h)
   new_foldFM_GE8(GT, Branch(LT, wz31, wz32, wz33, wz34), h) -> new_foldFM_GE8(GT, wz34, h)
   new_foldFM_GE8(GT, Branch(EQ, wz31, wz32, wz33, wz34), h) -> new_foldFM_GE8(GT, wz34, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(31) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 

From the DPs we obtained the following set of size-change graphs:
*new_foldFM_GE8(GT, Branch(GT, wz31, wz32, wz33, wz34), h) -> new_foldFM_GE8(GT, wz34, h)
The graph contains the following edges 1 >= 1, 2 > 1, 2 > 2, 3 >= 3


*new_foldFM_GE8(GT, Branch(LT, wz31, wz32, wz33, wz34), h) -> new_foldFM_GE8(GT, wz34, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


*new_foldFM_GE8(GT, Branch(EQ, wz31, wz32, wz33, wz34), h) -> new_foldFM_GE8(GT, wz34, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3


----------------------------------------

(32)
YES