/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files


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


YES
proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


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

(0) HASKELL
(1) BR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) COR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) Narrow [SOUND, 0 ms]
(6) QDP
(7) DependencyGraphProof [EQUIVALENT, 0 ms]
(8) AND
    (9) QDP
        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (11) YES
    (12) QDP
        (13) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (14) 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 a b where { 
}
foldFM_LE :: Ord c => (c  ->  b  ->  a  ->  a)  ->  a  ->  c  ->  FiniteMap c b  ->  a;
foldFM_LE k z fr EmptyFM = z;
foldFM_LE k z fr (Branch key elt _ fm_l fm_r)  | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
 | otherwise = foldFM_LE k z fr fm_l;

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

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

}
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) 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
"foldFM_LE k z fr EmptyFM = z;
foldFM_LE k z fr (Branch key elt vy fm_l fm_r)|key <= frfoldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r|otherwisefoldFM_LE k z fr fm_l;
"
is transformed to
"foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM;
foldFM_LE k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r);
"
"foldFM_LE1 k z fr key elt vy fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r;
foldFM_LE1 k z fr key elt vy fm_l fm_r False = foldFM_LE0 k z fr key elt vy fm_l fm_r otherwise;
"
"foldFM_LE0 k z fr key elt vy fm_l fm_r True = foldFM_LE k z fr fm_l;
"
"foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE1 k z fr key elt vy fm_l fm_r (key <= fr);
"
"foldFM_LE3 k z fr EmptyFM = z;
foldFM_LE3 wv ww wx wy = foldFM_LE2 wv ww wx wy;
"

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

(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 { 
}
foldFM_LE :: Ord a => (a  ->  b  ->  c  ->  c)  ->  c  ->  a  ->  FiniteMap a b  ->  c;
foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM;
foldFM_LE k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r);

foldFM_LE0 k z fr key elt vy fm_l fm_r True = foldFM_LE k z fr fm_l;

foldFM_LE1 k z fr key elt vy fm_l fm_r True = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r;
foldFM_LE1 k z fr key elt vy fm_l fm_r False = foldFM_LE0 k z fr key elt vy fm_l fm_r otherwise;

foldFM_LE2 k z fr (Branch key elt vy fm_l fm_r) = foldFM_LE1 k z fr key elt vy fm_l fm_r (key <= fr);

foldFM_LE3 k z fr EmptyFM = z;
foldFM_LE3 wv ww wx wy = foldFM_LE2 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;
}

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

(5) Narrow (SOUND)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="FiniteMap.foldFM_LE",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="FiniteMap.foldFM_LE wz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="FiniteMap.foldFM_LE wz3 wz4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3];
5[label="FiniteMap.foldFM_LE wz3 wz4 wz5",fontsize=16,color="grey",shape="box"];5 -> 6[label="",style="dashed", color="grey", weight=3];
6[label="FiniteMap.foldFM_LE wz3 wz4 wz5 wz6",fontsize=16,color="burlywood",shape="triangle"];1490[label="wz6/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];6 -> 1490[label="",style="solid", color="burlywood", weight=9];
1490 -> 7[label="",style="solid", color="burlywood", weight=3];
1491[label="wz6/FiniteMap.Branch wz60 wz61 wz62 wz63 wz64",fontsize=10,color="white",style="solid",shape="box"];6 -> 1491[label="",style="solid", color="burlywood", weight=9];
1491 -> 8[label="",style="solid", color="burlywood", weight=3];
7[label="FiniteMap.foldFM_LE wz3 wz4 wz5 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="FiniteMap.foldFM_LE wz3 wz4 wz5 (FiniteMap.Branch wz60 wz61 wz62 wz63 wz64)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="FiniteMap.foldFM_LE3 wz3 wz4 wz5 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10[label="FiniteMap.foldFM_LE2 wz3 wz4 wz5 (FiniteMap.Branch wz60 wz61 wz62 wz63 wz64)",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
11[label="wz4",fontsize=16,color="green",shape="box"];12[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 wz60 wz61 wz62 wz63 wz64 (wz60 <= wz5)",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3];
13[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 wz60 wz61 wz62 wz63 wz64 (compare wz60 wz5 /= GT)",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3];
14[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 wz60 wz61 wz62 wz63 wz64 (not (compare wz60 wz5 == GT))",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3];
15[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 wz60 wz61 wz62 wz63 wz64 (not (primCmpInt wz60 wz5 == GT))",fontsize=16,color="burlywood",shape="box"];1492[label="wz60/Pos wz600",fontsize=10,color="white",style="solid",shape="box"];15 -> 1492[label="",style="solid", color="burlywood", weight=9];
1492 -> 16[label="",style="solid", color="burlywood", weight=3];
1493[label="wz60/Neg wz600",fontsize=10,color="white",style="solid",shape="box"];15 -> 1493[label="",style="solid", color="burlywood", weight=9];
1493 -> 17[label="",style="solid", color="burlywood", weight=3];
16[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 (Pos wz600) wz61 wz62 wz63 wz64 (not (primCmpInt (Pos wz600) wz5 == GT))",fontsize=16,color="burlywood",shape="box"];1494[label="wz600/Succ wz6000",fontsize=10,color="white",style="solid",shape="box"];16 -> 1494[label="",style="solid", color="burlywood", weight=9];
1494 -> 18[label="",style="solid", color="burlywood", weight=3];
1495[label="wz600/Zero",fontsize=10,color="white",style="solid",shape="box"];16 -> 1495[label="",style="solid", color="burlywood", weight=9];
1495 -> 19[label="",style="solid", color="burlywood", weight=3];
17[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 (Neg wz600) wz61 wz62 wz63 wz64 (not (primCmpInt (Neg wz600) wz5 == GT))",fontsize=16,color="burlywood",shape="box"];1496[label="wz600/Succ wz6000",fontsize=10,color="white",style="solid",shape="box"];17 -> 1496[label="",style="solid", color="burlywood", weight=9];
1496 -> 20[label="",style="solid", color="burlywood", weight=3];
1497[label="wz600/Zero",fontsize=10,color="white",style="solid",shape="box"];17 -> 1497[label="",style="solid", color="burlywood", weight=9];
1497 -> 21[label="",style="solid", color="burlywood", weight=3];
18[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 (Pos (Succ wz6000)) wz61 wz62 wz63 wz64 (not (primCmpInt (Pos (Succ wz6000)) wz5 == GT))",fontsize=16,color="burlywood",shape="box"];1498[label="wz5/Pos wz50",fontsize=10,color="white",style="solid",shape="box"];18 -> 1498[label="",style="solid", color="burlywood", weight=9];
1498 -> 22[label="",style="solid", color="burlywood", weight=3];
1499[label="wz5/Neg wz50",fontsize=10,color="white",style="solid",shape="box"];18 -> 1499[label="",style="solid", color="burlywood", weight=9];
1499 -> 23[label="",style="solid", color="burlywood", weight=3];
19[label="FiniteMap.foldFM_LE1 wz3 wz4 wz5 (Pos Zero) wz61 wz62 wz63 wz64 (not (primCmpInt (Pos Zero) wz5 == GT))",fontsize=16,color="burlywood",shape="box"];1500[label="wz5/Pos wz50",fontsize=10,color="white",style="solid",shape="box"];19 -> 1500[label="",style="solid", color="burlywood", weight=9];
1500 -> 24[label="",style="solid", color="burlywood", weight=3];
1501[label="wz5/Neg wz50",fontsize=10,color="white",style="solid",shape="box"];19 -> 1501[label="",style="solid", color="burlywood", weight=9];
1501 -> 25[label="",style="solid", color="burlywood", weight=3];
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1502 -> 26[label="",style="solid", color="burlywood", weight=3];
1503[label="wz5/Neg wz50",fontsize=10,color="white",style="solid",shape="box"];20 -> 1503[label="",style="solid", color="burlywood", weight=9];
1503 -> 27[label="",style="solid", color="burlywood", weight=3];
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1504 -> 28[label="",style="solid", color="burlywood", weight=3];
1505[label="wz5/Neg wz50",fontsize=10,color="white",style="solid",shape="box"];21 -> 1505[label="",style="solid", color="burlywood", weight=9];
1505 -> 29[label="",style="solid", color="burlywood", weight=3];
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24[label="FiniteMap.foldFM_LE1 wz3 wz4 (Pos wz50) (Pos Zero) wz61 wz62 wz63 wz64 (not (primCmpInt (Pos Zero) (Pos wz50) == GT))",fontsize=16,color="burlywood",shape="box"];1506[label="wz50/Succ wz500",fontsize=10,color="white",style="solid",shape="box"];24 -> 1506[label="",style="solid", color="burlywood", weight=9];
1506 -> 32[label="",style="solid", color="burlywood", weight=3];
1507[label="wz50/Zero",fontsize=10,color="white",style="solid",shape="box"];24 -> 1507[label="",style="solid", color="burlywood", weight=9];
1507 -> 33[label="",style="solid", color="burlywood", weight=3];
25[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg wz50) (Pos Zero) wz61 wz62 wz63 wz64 (not (primCmpInt (Pos Zero) (Neg wz50) == GT))",fontsize=16,color="burlywood",shape="box"];1508[label="wz50/Succ wz500",fontsize=10,color="white",style="solid",shape="box"];25 -> 1508[label="",style="solid", color="burlywood", weight=9];
1508 -> 34[label="",style="solid", color="burlywood", weight=3];
1509[label="wz50/Zero",fontsize=10,color="white",style="solid",shape="box"];25 -> 1509[label="",style="solid", color="burlywood", weight=9];
1509 -> 35[label="",style="solid", color="burlywood", weight=3];
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1511[label="wz50/Zero",fontsize=10,color="white",style="solid",shape="box"];28 -> 1511[label="",style="solid", color="burlywood", weight=9];
1511 -> 39[label="",style="solid", color="burlywood", weight=3];
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1512 -> 40[label="",style="solid", color="burlywood", weight=3];
1513[label="wz50/Zero",fontsize=10,color="white",style="solid",shape="box"];29 -> 1513[label="",style="solid", color="burlywood", weight=9];
1513 -> 41[label="",style="solid", color="burlywood", weight=3];
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1514 -> 42[label="",style="solid", color="burlywood", weight=3];
1515[label="wz50/Zero",fontsize=10,color="white",style="solid",shape="box"];30 -> 1515[label="",style="solid", color="burlywood", weight=9];
1515 -> 43[label="",style="solid", color="burlywood", weight=3];
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32[label="FiniteMap.foldFM_LE1 wz3 wz4 (Pos (Succ wz500)) (Pos Zero) wz61 wz62 wz63 wz64 (not (primCmpInt (Pos Zero) (Pos (Succ wz500)) == GT))",fontsize=16,color="black",shape="box"];32 -> 45[label="",style="solid", color="black", weight=3];
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34[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg (Succ wz500)) (Pos Zero) wz61 wz62 wz63 wz64 (not (primCmpInt (Pos Zero) (Neg (Succ wz500)) == GT))",fontsize=16,color="black",shape="box"];34 -> 47[label="",style="solid", color="black", weight=3];
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37[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg wz50) (Neg (Succ wz6000)) wz61 wz62 wz63 wz64 (not (primCmpNat wz50 (Succ wz6000) == GT))",fontsize=16,color="burlywood",shape="box"];1516[label="wz50/Succ wz500",fontsize=10,color="white",style="solid",shape="box"];37 -> 1516[label="",style="solid", color="burlywood", weight=9];
1516 -> 50[label="",style="solid", color="burlywood", weight=3];
1517[label="wz50/Zero",fontsize=10,color="white",style="solid",shape="box"];37 -> 1517[label="",style="solid", color="burlywood", weight=9];
1517 -> 51[label="",style="solid", color="burlywood", weight=3];
38[label="FiniteMap.foldFM_LE1 wz3 wz4 (Pos (Succ wz500)) (Neg Zero) wz61 wz62 wz63 wz64 (not (primCmpInt (Neg Zero) (Pos (Succ wz500)) == GT))",fontsize=16,color="black",shape="box"];38 -> 52[label="",style="solid", color="black", weight=3];
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44[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg wz50) (Pos (Succ wz6000)) wz61 wz62 wz63 wz64 (not True)",fontsize=16,color="black",shape="box"];44 -> 58[label="",style="solid", color="black", weight=3];
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46[label="FiniteMap.foldFM_LE1 wz3 wz4 (Pos Zero) (Pos Zero) wz61 wz62 wz63 wz64 (not (EQ == GT))",fontsize=16,color="black",shape="box"];46 -> 60[label="",style="solid", color="black", weight=3];
47[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg (Succ wz500)) (Pos Zero) wz61 wz62 wz63 wz64 (not (GT == GT))",fontsize=16,color="black",shape="box"];47 -> 61[label="",style="solid", color="black", weight=3];
48[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg Zero) (Pos Zero) wz61 wz62 wz63 wz64 (not (EQ == GT))",fontsize=16,color="black",shape="box"];48 -> 62[label="",style="solid", color="black", weight=3];
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64[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg (Succ wz500)) (Neg (Succ wz6000)) wz61 wz62 wz63 wz64 (not (primCmpNat wz500 wz6000 == GT))",fontsize=16,color="magenta"];64 -> 1320[label="",style="dashed", color="magenta", weight=3];
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66[label="FiniteMap.foldFM_LE1 wz3 wz4 (Pos (Succ wz500)) (Neg Zero) wz61 wz62 wz63 wz64 (not False)",fontsize=16,color="black",shape="box"];66 -> 82[label="",style="solid", color="black", weight=3];
67[label="FiniteMap.foldFM_LE1 wz3 wz4 (Pos Zero) (Neg Zero) wz61 wz62 wz63 wz64 (not False)",fontsize=16,color="black",shape="box"];67 -> 83[label="",style="solid", color="black", weight=3];
68[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg (Succ wz500)) (Neg Zero) wz61 wz62 wz63 wz64 (not (GT == GT))",fontsize=16,color="black",shape="box"];68 -> 84[label="",style="solid", color="black", weight=3];
69[label="FiniteMap.foldFM_LE1 wz3 wz4 (Neg Zero) (Neg Zero) wz61 wz62 wz63 wz64 (not False)",fontsize=16,color="black",shape="box"];69 -> 85[label="",style="solid", color="black", weight=3];
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124 -> 159[label="",style="dashed", color="magenta", weight=3];
1426[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (primCmpNat (Succ wz1680) (Succ wz1690) == GT))",fontsize=16,color="black",shape="box"];1426 -> 1434[label="",style="solid", color="black", weight=3];
1427[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (primCmpNat (Succ wz1680) Zero == GT))",fontsize=16,color="black",shape="box"];1427 -> 1435[label="",style="solid", color="black", weight=3];
1428[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (primCmpNat Zero (Succ wz1690) == GT))",fontsize=16,color="black",shape="box"];1428 -> 1436[label="",style="solid", color="black", weight=3];
1429[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (primCmpNat Zero Zero == GT))",fontsize=16,color="black",shape="box"];1429 -> 1437[label="",style="solid", color="black", weight=3];
129 -> 6[label="",style="dashed", color="red", weight=0];
129[label="FiniteMap.foldFM_LE wz3 (wz3 (Neg (Succ wz6000)) wz61 (FiniteMap.foldFM_LE wz3 wz4 (Neg Zero) wz63)) (Neg Zero) wz64",fontsize=16,color="magenta"];129 -> 165[label="",style="dashed", color="magenta", weight=3];
129 -> 166[label="",style="dashed", color="magenta", weight=3];
129 -> 167[label="",style="dashed", color="magenta", weight=3];
130[label="wz3 (Neg Zero) wz61 (FiniteMap.foldFM_LE wz3 wz4 (Pos (Succ wz500)) wz63)",fontsize=16,color="green",shape="box"];130 -> 168[label="",style="dashed", color="green", weight=3];
130 -> 169[label="",style="dashed", color="green", weight=3];
130 -> 170[label="",style="dashed", color="green", weight=3];
131[label="Pos (Succ wz500)",fontsize=16,color="green",shape="box"];132[label="wz64",fontsize=16,color="green",shape="box"];133[label="wz3 (Neg Zero) wz61 (FiniteMap.foldFM_LE wz3 wz4 (Pos Zero) wz63)",fontsize=16,color="green",shape="box"];133 -> 171[label="",style="dashed", color="green", weight=3];
133 -> 172[label="",style="dashed", color="green", weight=3];
133 -> 173[label="",style="dashed", color="green", weight=3];
134[label="Pos Zero",fontsize=16,color="green",shape="box"];135[label="wz64",fontsize=16,color="green",shape="box"];136[label="FiniteMap.foldFM_LE0 wz3 wz4 (Neg (Succ wz500)) (Neg Zero) wz61 wz62 wz63 wz64 otherwise",fontsize=16,color="black",shape="box"];136 -> 174[label="",style="solid", color="black", weight=3];
137[label="wz3 (Neg Zero) wz61 (FiniteMap.foldFM_LE wz3 wz4 (Neg Zero) wz63)",fontsize=16,color="green",shape="box"];137 -> 175[label="",style="dashed", color="green", weight=3];
137 -> 176[label="",style="dashed", color="green", weight=3];
137 -> 177[label="",style="dashed", color="green", weight=3];
138[label="Neg Zero",fontsize=16,color="green",shape="box"];139[label="wz64",fontsize=16,color="green",shape="box"];1430 -> 1215[label="",style="dashed", color="red", weight=0];
1430[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 (not (primCmpNat wz1570 wz1580 == GT))",fontsize=16,color="magenta"];1430 -> 1438[label="",style="dashed", color="magenta", weight=3];
1430 -> 1439[label="",style="dashed", color="magenta", weight=3];
1431[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 (not (GT == GT))",fontsize=16,color="black",shape="box"];1431 -> 1440[label="",style="solid", color="black", weight=3];
1432[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 (not (LT == GT))",fontsize=16,color="black",shape="box"];1432 -> 1441[label="",style="solid", color="black", weight=3];
1433[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 (not (EQ == GT))",fontsize=16,color="black",shape="box"];1433 -> 1442[label="",style="solid", color="black", weight=3];
145[label="FiniteMap.foldFM_LE0 wz3 wz4 (Pos Zero) (Pos (Succ wz6000)) wz61 wz62 wz63 wz64 True",fontsize=16,color="black",shape="box"];145 -> 185[label="",style="solid", color="black", weight=3];
146[label="Neg wz50",fontsize=16,color="green",shape="box"];147[label="wz63",fontsize=16,color="green",shape="box"];148[label="wz3 (Pos Zero) wz61 (FiniteMap.foldFM_LE wz3 wz4 (Pos (Succ wz500)) wz63)",fontsize=16,color="green",shape="box"];148 -> 186[label="",style="dashed", color="green", weight=3];
148 -> 187[label="",style="dashed", color="green", weight=3];
148 -> 188[label="",style="dashed", color="green", weight=3];
149[label="Pos (Succ wz500)",fontsize=16,color="green",shape="box"];150[label="wz64",fontsize=16,color="green",shape="box"];151[label="Pos Zero",fontsize=16,color="green",shape="box"];152[label="wz61",fontsize=16,color="green",shape="box"];153 -> 6[label="",style="dashed", color="red", weight=0];
153[label="FiniteMap.foldFM_LE wz3 wz4 (Pos Zero) wz63",fontsize=16,color="magenta"];153 -> 189[label="",style="dashed", color="magenta", weight=3];
153 -> 190[label="",style="dashed", color="magenta", weight=3];
154 -> 6[label="",style="dashed", color="red", weight=0];
154[label="FiniteMap.foldFM_LE wz3 wz4 (Neg (Succ wz500)) wz63",fontsize=16,color="magenta"];154 -> 191[label="",style="dashed", color="magenta", weight=3];
154 -> 192[label="",style="dashed", color="magenta", weight=3];
155[label="Pos Zero",fontsize=16,color="green",shape="box"];156[label="wz61",fontsize=16,color="green",shape="box"];157 -> 6[label="",style="dashed", color="red", weight=0];
157[label="FiniteMap.foldFM_LE wz3 wz4 (Neg Zero) wz63",fontsize=16,color="magenta"];157 -> 193[label="",style="dashed", color="magenta", weight=3];
157 -> 194[label="",style="dashed", color="magenta", weight=3];
158[label="Pos wz50",fontsize=16,color="green",shape="box"];159[label="wz63",fontsize=16,color="green",shape="box"];1434 -> 1319[label="",style="dashed", color="red", weight=0];
1434[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (primCmpNat wz1680 wz1690 == GT))",fontsize=16,color="magenta"];1434 -> 1443[label="",style="dashed", color="magenta", weight=3];
1434 -> 1444[label="",style="dashed", color="magenta", weight=3];
1435[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (GT == GT))",fontsize=16,color="black",shape="box"];1435 -> 1445[label="",style="solid", color="black", weight=3];
1436[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (LT == GT))",fontsize=16,color="black",shape="box"];1436 -> 1446[label="",style="solid", color="black", weight=3];
1437[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not (EQ == GT))",fontsize=16,color="black",shape="box"];1437 -> 1447[label="",style="solid", color="black", weight=3];
165[label="wz3 (Neg (Succ wz6000)) wz61 (FiniteMap.foldFM_LE wz3 wz4 (Neg Zero) wz63)",fontsize=16,color="green",shape="box"];165 -> 202[label="",style="dashed", color="green", weight=3];
165 -> 203[label="",style="dashed", color="green", weight=3];
165 -> 204[label="",style="dashed", color="green", weight=3];
166[label="Neg Zero",fontsize=16,color="green",shape="box"];167[label="wz64",fontsize=16,color="green",shape="box"];168[label="Neg Zero",fontsize=16,color="green",shape="box"];169[label="wz61",fontsize=16,color="green",shape="box"];170 -> 6[label="",style="dashed", color="red", weight=0];
170[label="FiniteMap.foldFM_LE wz3 wz4 (Pos (Succ wz500)) wz63",fontsize=16,color="magenta"];170 -> 205[label="",style="dashed", color="magenta", weight=3];
170 -> 206[label="",style="dashed", color="magenta", weight=3];
171[label="Neg Zero",fontsize=16,color="green",shape="box"];172[label="wz61",fontsize=16,color="green",shape="box"];173 -> 6[label="",style="dashed", color="red", weight=0];
173[label="FiniteMap.foldFM_LE wz3 wz4 (Pos Zero) wz63",fontsize=16,color="magenta"];173 -> 207[label="",style="dashed", color="magenta", weight=3];
173 -> 208[label="",style="dashed", color="magenta", weight=3];
174[label="FiniteMap.foldFM_LE0 wz3 wz4 (Neg (Succ wz500)) (Neg Zero) wz61 wz62 wz63 wz64 True",fontsize=16,color="black",shape="box"];174 -> 209[label="",style="solid", color="black", weight=3];
175[label="Neg Zero",fontsize=16,color="green",shape="box"];176[label="wz61",fontsize=16,color="green",shape="box"];177 -> 6[label="",style="dashed", color="red", weight=0];
177[label="FiniteMap.foldFM_LE wz3 wz4 (Neg Zero) wz63",fontsize=16,color="magenta"];177 -> 210[label="",style="dashed", color="magenta", weight=3];
177 -> 211[label="",style="dashed", color="magenta", weight=3];
1438[label="wz1580",fontsize=16,color="green",shape="box"];1439[label="wz1570",fontsize=16,color="green",shape="box"];1440[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 (not True)",fontsize=16,color="black",shape="box"];1440 -> 1448[label="",style="solid", color="black", weight=3];
1441[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 (not False)",fontsize=16,color="black",shape="triangle"];1441 -> 1449[label="",style="solid", color="black", weight=3];
1442 -> 1441[label="",style="dashed", color="red", weight=0];
1442[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 (not False)",fontsize=16,color="magenta"];185 -> 6[label="",style="dashed", color="red", weight=0];
185[label="FiniteMap.foldFM_LE wz3 wz4 (Pos Zero) wz63",fontsize=16,color="magenta"];185 -> 219[label="",style="dashed", color="magenta", weight=3];
185 -> 220[label="",style="dashed", color="magenta", weight=3];
186[label="Pos Zero",fontsize=16,color="green",shape="box"];187[label="wz61",fontsize=16,color="green",shape="box"];188 -> 6[label="",style="dashed", color="red", weight=0];
188[label="FiniteMap.foldFM_LE wz3 wz4 (Pos (Succ wz500)) wz63",fontsize=16,color="magenta"];188 -> 221[label="",style="dashed", color="magenta", weight=3];
188 -> 222[label="",style="dashed", color="magenta", weight=3];
189[label="Pos Zero",fontsize=16,color="green",shape="box"];190[label="wz63",fontsize=16,color="green",shape="box"];191[label="Neg (Succ wz500)",fontsize=16,color="green",shape="box"];192[label="wz63",fontsize=16,color="green",shape="box"];193[label="Neg Zero",fontsize=16,color="green",shape="box"];194[label="wz63",fontsize=16,color="green",shape="box"];1443[label="wz1690",fontsize=16,color="green",shape="box"];1444[label="wz1680",fontsize=16,color="green",shape="box"];1445[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not True)",fontsize=16,color="black",shape="box"];1445 -> 1450[label="",style="solid", color="black", weight=3];
1446[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not False)",fontsize=16,color="black",shape="triangle"];1446 -> 1451[label="",style="solid", color="black", weight=3];
1447 -> 1446[label="",style="dashed", color="red", weight=0];
1447[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 (not False)",fontsize=16,color="magenta"];202[label="Neg (Succ wz6000)",fontsize=16,color="green",shape="box"];203[label="wz61",fontsize=16,color="green",shape="box"];204 -> 6[label="",style="dashed", color="red", weight=0];
204[label="FiniteMap.foldFM_LE wz3 wz4 (Neg Zero) wz63",fontsize=16,color="magenta"];204 -> 230[label="",style="dashed", color="magenta", weight=3];
204 -> 231[label="",style="dashed", color="magenta", weight=3];
205[label="Pos (Succ wz500)",fontsize=16,color="green",shape="box"];206[label="wz63",fontsize=16,color="green",shape="box"];207[label="Pos Zero",fontsize=16,color="green",shape="box"];208[label="wz63",fontsize=16,color="green",shape="box"];209 -> 6[label="",style="dashed", color="red", weight=0];
209[label="FiniteMap.foldFM_LE wz3 wz4 (Neg (Succ wz500)) wz63",fontsize=16,color="magenta"];209 -> 232[label="",style="dashed", color="magenta", weight=3];
209 -> 233[label="",style="dashed", color="magenta", weight=3];
210[label="Neg Zero",fontsize=16,color="green",shape="box"];211[label="wz63",fontsize=16,color="green",shape="box"];1448[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 False",fontsize=16,color="black",shape="box"];1448 -> 1452[label="",style="solid", color="black", weight=3];
1449[label="FiniteMap.foldFM_LE1 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 True",fontsize=16,color="black",shape="box"];1449 -> 1453[label="",style="solid", color="black", weight=3];
219[label="Pos Zero",fontsize=16,color="green",shape="box"];220[label="wz63",fontsize=16,color="green",shape="box"];221[label="Pos (Succ wz500)",fontsize=16,color="green",shape="box"];222[label="wz63",fontsize=16,color="green",shape="box"];1450[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 False",fontsize=16,color="black",shape="box"];1450 -> 1454[label="",style="solid", color="black", weight=3];
1451[label="FiniteMap.foldFM_LE1 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 True",fontsize=16,color="black",shape="box"];1451 -> 1455[label="",style="solid", color="black", weight=3];
230[label="Neg Zero",fontsize=16,color="green",shape="box"];231[label="wz63",fontsize=16,color="green",shape="box"];232[label="Neg (Succ wz500)",fontsize=16,color="green",shape="box"];233[label="wz63",fontsize=16,color="green",shape="box"];1452[label="FiniteMap.foldFM_LE0 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 otherwise",fontsize=16,color="black",shape="box"];1452 -> 1456[label="",style="solid", color="black", weight=3];
1453 -> 6[label="",style="dashed", color="red", weight=0];
1453[label="FiniteMap.foldFM_LE wz149 (wz149 (Pos (Succ wz152)) wz153 (FiniteMap.foldFM_LE wz149 wz150 (Pos (Succ wz151)) wz155)) (Pos (Succ wz151)) wz156",fontsize=16,color="magenta"];1453 -> 1457[label="",style="dashed", color="magenta", weight=3];
1453 -> 1458[label="",style="dashed", color="magenta", weight=3];
1453 -> 1459[label="",style="dashed", color="magenta", weight=3];
1453 -> 1460[label="",style="dashed", color="magenta", weight=3];
1454[label="FiniteMap.foldFM_LE0 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 otherwise",fontsize=16,color="black",shape="box"];1454 -> 1461[label="",style="solid", color="black", weight=3];
1455 -> 6[label="",style="dashed", color="red", weight=0];
1455[label="FiniteMap.foldFM_LE wz160 (wz160 (Neg (Succ wz163)) wz164 (FiniteMap.foldFM_LE wz160 wz161 (Neg (Succ wz162)) wz166)) (Neg (Succ wz162)) wz167",fontsize=16,color="magenta"];1455 -> 1462[label="",style="dashed", color="magenta", weight=3];
1455 -> 1463[label="",style="dashed", color="magenta", weight=3];
1455 -> 1464[label="",style="dashed", color="magenta", weight=3];
1455 -> 1465[label="",style="dashed", color="magenta", weight=3];
1456[label="FiniteMap.foldFM_LE0 wz149 wz150 (Pos (Succ wz151)) (Pos (Succ wz152)) wz153 wz154 wz155 wz156 True",fontsize=16,color="black",shape="box"];1456 -> 1466[label="",style="solid", color="black", weight=3];
1457[label="wz149 (Pos (Succ wz152)) wz153 (FiniteMap.foldFM_LE wz149 wz150 (Pos (Succ wz151)) wz155)",fontsize=16,color="green",shape="box"];1457 -> 1467[label="",style="dashed", color="green", weight=3];
1457 -> 1468[label="",style="dashed", color="green", weight=3];
1457 -> 1469[label="",style="dashed", color="green", weight=3];
1458[label="wz149",fontsize=16,color="green",shape="box"];1459[label="Pos (Succ wz151)",fontsize=16,color="green",shape="box"];1460[label="wz156",fontsize=16,color="green",shape="box"];1461[label="FiniteMap.foldFM_LE0 wz160 wz161 (Neg (Succ wz162)) (Neg (Succ wz163)) wz164 wz165 wz166 wz167 True",fontsize=16,color="black",shape="box"];1461 -> 1470[label="",style="solid", color="black", weight=3];
1462[label="wz160 (Neg (Succ wz163)) wz164 (FiniteMap.foldFM_LE wz160 wz161 (Neg (Succ wz162)) wz166)",fontsize=16,color="green",shape="box"];1462 -> 1471[label="",style="dashed", color="green", weight=3];
1462 -> 1472[label="",style="dashed", color="green", weight=3];
1462 -> 1473[label="",style="dashed", color="green", weight=3];
1463[label="wz160",fontsize=16,color="green",shape="box"];1464[label="Neg (Succ wz162)",fontsize=16,color="green",shape="box"];1465[label="wz167",fontsize=16,color="green",shape="box"];1466 -> 6[label="",style="dashed", color="red", weight=0];
1466[label="FiniteMap.foldFM_LE wz149 wz150 (Pos (Succ wz151)) wz155",fontsize=16,color="magenta"];1466 -> 1474[label="",style="dashed", color="magenta", weight=3];
1466 -> 1475[label="",style="dashed", color="magenta", weight=3];
1466 -> 1476[label="",style="dashed", color="magenta", weight=3];
1466 -> 1477[label="",style="dashed", color="magenta", weight=3];
1467[label="Pos (Succ wz152)",fontsize=16,color="green",shape="box"];1468[label="wz153",fontsize=16,color="green",shape="box"];1469 -> 6[label="",style="dashed", color="red", weight=0];
1469[label="FiniteMap.foldFM_LE wz149 wz150 (Pos (Succ wz151)) wz155",fontsize=16,color="magenta"];1469 -> 1478[label="",style="dashed", color="magenta", weight=3];
1469 -> 1479[label="",style="dashed", color="magenta", weight=3];
1469 -> 1480[label="",style="dashed", color="magenta", weight=3];
1469 -> 1481[label="",style="dashed", color="magenta", weight=3];
1470 -> 6[label="",style="dashed", color="red", weight=0];
1470[label="FiniteMap.foldFM_LE wz160 wz161 (Neg (Succ wz162)) wz166",fontsize=16,color="magenta"];1470 -> 1482[label="",style="dashed", color="magenta", weight=3];
1470 -> 1483[label="",style="dashed", color="magenta", weight=3];
1470 -> 1484[label="",style="dashed", color="magenta", weight=3];
1470 -> 1485[label="",style="dashed", color="magenta", weight=3];
1471[label="Neg (Succ wz163)",fontsize=16,color="green",shape="box"];1472[label="wz164",fontsize=16,color="green",shape="box"];1473 -> 6[label="",style="dashed", color="red", weight=0];
1473[label="FiniteMap.foldFM_LE wz160 wz161 (Neg (Succ wz162)) wz166",fontsize=16,color="magenta"];1473 -> 1486[label="",style="dashed", color="magenta", weight=3];
1473 -> 1487[label="",style="dashed", color="magenta", weight=3];
1473 -> 1488[label="",style="dashed", color="magenta", weight=3];
1473 -> 1489[label="",style="dashed", color="magenta", weight=3];
1474[label="wz150",fontsize=16,color="green",shape="box"];1475[label="wz149",fontsize=16,color="green",shape="box"];1476[label="Pos (Succ wz151)",fontsize=16,color="green",shape="box"];1477[label="wz155",fontsize=16,color="green",shape="box"];1478[label="wz150",fontsize=16,color="green",shape="box"];1479[label="wz149",fontsize=16,color="green",shape="box"];1480[label="Pos (Succ wz151)",fontsize=16,color="green",shape="box"];1481[label="wz155",fontsize=16,color="green",shape="box"];1482[label="wz161",fontsize=16,color="green",shape="box"];1483[label="wz160",fontsize=16,color="green",shape="box"];1484[label="Neg (Succ wz162)",fontsize=16,color="green",shape="box"];1485[label="wz166",fontsize=16,color="green",shape="box"];1486[label="wz161",fontsize=16,color="green",shape="box"];1487[label="wz160",fontsize=16,color="green",shape="box"];1488[label="Neg (Succ wz162)",fontsize=16,color="green",shape="box"];1489[label="wz166",fontsize=16,color="green",shape="box"];}

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

(6)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
   new_foldFM_LE(wz3, Neg(wz50), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(wz50), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Zero, bd, be) -> new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be)
   new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
   new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz156, h, ba)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(wz50), wz64, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Zero, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz167, bd, be)
   new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Zero, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(wz50), wz63, bb, bc)
   new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz167, bd, be)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Zero, h, ba) -> new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Succ(wz1580), h, ba) -> new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, wz1570, wz1580, h, ba)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz156, h, ba)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Succ(wz1690), bd, be) -> new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, wz1680, wz1690, bd, be)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE1(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz6000, wz500, bb, bc)
   new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE11(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz500, wz6000, bb, bc)

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

(7) DependencyGraphProof (EQUIVALENT)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs.
----------------------------------------

(8)
Complex Obligation (AND)

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

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

   new_foldFM_LE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
   new_foldFM_LE(wz3, Neg(wz50), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(wz50), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE11(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz500, wz6000, bb, bc)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Zero, bd, be) -> new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be)
   new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
   new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz167, bd, be)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz167, bd, be)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Zero, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
   new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Succ(wz1690), bd, be) -> new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, wz1680, wz1690, bd, be)

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

(10) 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_LE(wz3, Neg(Succ(wz500)), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE11(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz500, wz6000, bb, bc)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 3 > 7, 2 > 8, 3 > 9, 4 >= 10, 5 >= 11


*new_foldFM_LE(wz3, Neg(wz50), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(wz50), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Succ(wz1690), bd, be) -> new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, wz1680, wz1690, bd, be)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 > 8, 9 > 9, 10 >= 10, 11 >= 11


*new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Zero, bd, be) -> new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 10 >= 8, 11 >= 9


*new_foldFM_LE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Neg(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Neg(Zero), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Zero), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Neg(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Neg(Succ(wz500)), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz167, bd, be)
The graph contains the following edges 1 >= 1, 7 >= 3, 10 >= 4, 11 >= 5


*new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Succ(wz1680), Zero, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
The graph contains the following edges 1 >= 1, 6 >= 3, 10 >= 4, 11 >= 5


*new_foldFM_LE11(wz160, wz162, wz163, wz164, wz165, wz166, wz167, Zero, Succ(wz1690), bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
The graph contains the following edges 1 >= 1, 6 >= 3, 10 >= 4, 11 >= 5


*new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz166, bd, be)
The graph contains the following edges 1 >= 1, 6 >= 3, 8 >= 4, 9 >= 5


*new_foldFM_LE12(wz160, wz162, wz163, wz164, wz165, wz166, wz167, bd, be) -> new_foldFM_LE(wz160, Neg(Succ(wz162)), wz167, bd, be)
The graph contains the following edges 1 >= 1, 7 >= 3, 8 >= 4, 9 >= 5


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

(11)
YES

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

(12)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(wz50), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(wz50), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz64, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
   new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE1(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz6000, wz500, bb, bc)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Zero, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Zero, h, ba) -> new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba)
   new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
   new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz156, h, ba)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Succ(wz1580), h, ba) -> new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, wz1570, wz1580, h, ba)
   new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz156, h, ba)

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

(13) 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_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE1(wz3, wz500, wz6000, wz61, wz62, wz63, wz64, wz6000, wz500, bb, bc)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 3 > 7, 3 > 8, 2 > 9, 4 >= 10, 5 >= 11


*new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Succ(wz1580), h, ba) -> new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, wz1570, wz1580, h, ba)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 > 8, 9 > 9, 10 >= 10, 11 >= 11


*new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Zero, h, ba) -> new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 10 >= 8, 11 >= 9


*new_foldFM_LE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(wz50), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(wz50), Branch(Neg(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(wz50), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Succ(wz500)), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Succ(wz500)), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Succ(wz1570), Zero, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
The graph contains the following edges 1 >= 1, 6 >= 3, 10 >= 4, 11 >= 5


*new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
The graph contains the following edges 1 >= 1, 6 >= 3, 10 >= 4, 11 >= 5


*new_foldFM_LE1(wz149, wz151, wz152, wz153, wz154, wz155, wz156, Zero, Succ(wz1580), h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz156, h, ba)
The graph contains the following edges 1 >= 1, 7 >= 3, 10 >= 4, 11 >= 5


*new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz155, h, ba)
The graph contains the following edges 1 >= 1, 6 >= 3, 8 >= 4, 9 >= 5


*new_foldFM_LE10(wz149, wz151, wz152, wz153, wz154, wz155, wz156, h, ba) -> new_foldFM_LE(wz149, Pos(Succ(wz151)), wz156, h, ba)
The graph contains the following edges 1 >= 1, 7 >= 3, 8 >= 4, 9 >= 5


*new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz64, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Zero), Branch(Pos(Succ(wz6000)), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


*new_foldFM_LE(wz3, Pos(Zero), Branch(Neg(Zero), wz61, wz62, wz63, wz64), bb, bc) -> new_foldFM_LE(wz3, Pos(Zero), wz63, bb, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5


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(14)
YES