H-Termination proof of /home/matraf/haskell/eval_FullyBlown

YES 1.058 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/FiniteMap.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ LR

mainModule FiniteMap

((eltsFM_LE :: FiniteMap Ordering a -> Ordering -> [a]) :: FiniteMap Ordering a -> Ordering -> [a])

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a)

eltsFM_LE :: Ord a => FiniteMap a b -> a -> [b]

eltsFM_LE

fm fr

foldFM_LE (\key elt rest ->elt : rest) [] fr fm

foldFM_LE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c

foldFM_LE

k z fr EmptyFM

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 Prelude

Lambda Reductions:
The following Lambda expression

\keyeltrest→elt : rest

is transformed to

eltsFM_LE0 key elt rest = elt : rest

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

mainModule FiniteMap

((eltsFM_LE :: FiniteMap Ordering a -> Ordering -> [a]) :: FiniteMap Ordering a -> Ordering -> [a])

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b)

eltsFM_LE :: Ord a => FiniteMap a b -> a -> [b]

eltsFM_LE

fm fr

foldFM_LE eltsFM_LE0 [] fr fm

eltsFM_LE0

key elt rest

elt : rest

foldFM_LE :: Ord c => (c -> a -> b -> b) -> b -> c -> FiniteMap c a -> b

foldFM_LE

k z fr EmptyFM

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 Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

mainModule FiniteMap

((eltsFM_LE :: FiniteMap Ordering a -> Ordering -> [a]) :: FiniteMap Ordering a -> Ordering -> [a])

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a)

eltsFM_LE :: Ord b => FiniteMap b a -> b -> [a]

eltsFM_LE

fm fr

foldFM_LE eltsFM_LE0 [] fr fm

eltsFM_LE0

key elt rest

elt : rest

foldFM_LE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c

foldFM_LE

k z fr EmptyFM

foldFM_LE

k z fr (Branch key elt vw 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 Prelude

Cond Reductions:
The following Function with conditions

foldFM_LE k z fr EmptyFM = z

foldFM_LE k z fr (Branch key elt vw 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

is transformed to

foldFM_LE k z fr EmptyFM = foldFM_LE3 k z fr EmptyFM

foldFM_LE k z fr (Branch key elt vw fm_l fm_r) = foldFM_LE2 k z fr (Branch key elt vw fm_l fm_r)

foldFM_LE0 k z fr key elt vw fm_l fm_r True = foldFM_LE k z fr fm_l

foldFM_LE1 k z fr key elt vw 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 vw fm_l fm_r False = foldFM_LE0 k z fr key elt vw fm_l fm_r otherwise

foldFM_LE2 k z fr (Branch key elt vw fm_l fm_r) = foldFM_LE1 k z fr key elt vw 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

The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

mainModule FiniteMap

(eltsFM_LE :: FiniteMap Ordering a -> Ordering -> [a])

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a)

eltsFM_LE :: Ord b => FiniteMap b a -> b -> [a]

eltsFM_LE

fm fr

foldFM_LE eltsFM_LE0 [] fr fm

eltsFM_LE0

key elt rest

elt : rest

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 vw fm_l fm_r)	=	foldFM_LE2 k z fr (Branch key elt vw fm_l fm_r)

foldFM_LE0

k z fr key elt vw fm_l fm_r True

foldFM_LE k z fr fm_l

foldFM_LE1	k z fr key elt vw 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 vw fm_l fm_r False	=	foldFM_LE0 k z fr key elt vw fm_l fm_r otherwise

foldFM_LE2

k z fr (Branch key elt vw fm_l fm_r)

foldFM_LE1 k z fr key elt vw 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 Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="eltsFM_LE",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="eltsFM_LE wz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="eltsFM_LE wz3 wz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="foldFM_LE eltsFM_LE0 [] wz4 wz3",fontsize=16,color="burlywood",shape="triangle"];216[label="wz3/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];5 -> 216[label="",style="solid", color="burlywood", weight=9];
216 -> 6[label="",style="solid", color="burlywood", weight=3];
217[label="wz3/Branch wz30 wz31 wz32 wz33 wz34",fontsize=10,color="white",style="solid",shape="box"];5 -> 217[label="",style="solid", color="burlywood", weight=9];
217 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="foldFM_LE eltsFM_LE0 [] wz4 EmptyFM",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="foldFM_LE eltsFM_LE0 [] wz4 (Branch wz30 wz31 wz32 wz33 wz34)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="foldFM_LE3 eltsFM_LE0 [] wz4 EmptyFM",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="foldFM_LE2 eltsFM_LE0 [] wz4 (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="foldFM_LE1 eltsFM_LE0 [] wz4 wz30 wz31 wz32 wz33 wz34 (wz30 <= wz4)",fontsize=16,color="burlywood",shape="box"];218[label="wz30/LT",fontsize=10,color="white",style="solid",shape="box"];11 -> 218[label="",style="solid", color="burlywood", weight=9];
218 -> 12[label="",style="solid", color="burlywood", weight=3];
219[label="wz30/EQ",fontsize=10,color="white",style="solid",shape="box"];11 -> 219[label="",style="solid", color="burlywood", weight=9];
219 -> 13[label="",style="solid", color="burlywood", weight=3];
220[label="wz30/GT",fontsize=10,color="white",style="solid",shape="box"];11 -> 220[label="",style="solid", color="burlywood", weight=9];
220 -> 14[label="",style="solid", color="burlywood", weight=3];
12[label="foldFM_LE1 eltsFM_LE0 [] wz4 LT wz31 wz32 wz33 wz34 (LT <= wz4)",fontsize=16,color="burlywood",shape="box"];221[label="wz4/LT",fontsize=10,color="white",style="solid",shape="box"];12 -> 221[label="",style="solid", color="burlywood", weight=9];
221 -> 15[label="",style="solid", color="burlywood", weight=3];
222[label="wz4/EQ",fontsize=10,color="white",style="solid",shape="box"];12 -> 222[label="",style="solid", color="burlywood", weight=9];
222 -> 16[label="",style="solid", color="burlywood", weight=3];
223[label="wz4/GT",fontsize=10,color="white",style="solid",shape="box"];12 -> 223[label="",style="solid", color="burlywood", weight=9];
223 -> 17[label="",style="solid", color="burlywood", weight=3];
13[label="foldFM_LE1 eltsFM_LE0 [] wz4 EQ wz31 wz32 wz33 wz34 (EQ <= wz4)",fontsize=16,color="burlywood",shape="box"];224[label="wz4/LT",fontsize=10,color="white",style="solid",shape="box"];13 -> 224[label="",style="solid", color="burlywood", weight=9];
224 -> 18[label="",style="solid", color="burlywood", weight=3];
225[label="wz4/EQ",fontsize=10,color="white",style="solid",shape="box"];13 -> 225[label="",style="solid", color="burlywood", weight=9];
225 -> 19[label="",style="solid", color="burlywood", weight=3];
226[label="wz4/GT",fontsize=10,color="white",style="solid",shape="box"];13 -> 226[label="",style="solid", color="burlywood", weight=9];
226 -> 20[label="",style="solid", color="burlywood", weight=3];
14[label="foldFM_LE1 eltsFM_LE0 [] wz4 GT wz31 wz32 wz33 wz34 (GT <= wz4)",fontsize=16,color="burlywood",shape="box"];227[label="wz4/LT",fontsize=10,color="white",style="solid",shape="box"];14 -> 227[label="",style="solid", color="burlywood", weight=9];
227 -> 21[label="",style="solid", color="burlywood", weight=3];
228[label="wz4/EQ",fontsize=10,color="white",style="solid",shape="box"];14 -> 228[label="",style="solid", color="burlywood", weight=9];
228 -> 22[label="",style="solid", color="burlywood", weight=3];
229[label="wz4/GT",fontsize=10,color="white",style="solid",shape="box"];14 -> 229[label="",style="solid", color="burlywood", weight=9];
229 -> 23[label="",style="solid", color="burlywood", weight=3];
15[label="foldFM_LE1 eltsFM_LE0 [] LT LT wz31 wz32 wz33 wz34 (LT <= LT)",fontsize=16,color="black",shape="box"];15 -> 24[label="",style="solid", color="black", weight=3];
16[label="foldFM_LE1 eltsFM_LE0 [] EQ LT wz31 wz32 wz33 wz34 (LT <= EQ)",fontsize=16,color="black",shape="box"];16 -> 25[label="",style="solid", color="black", weight=3];
17[label="foldFM_LE1 eltsFM_LE0 [] GT LT wz31 wz32 wz33 wz34 (LT <= GT)",fontsize=16,color="black",shape="box"];17 -> 26[label="",style="solid", color="black", weight=3];
18[label="foldFM_LE1 eltsFM_LE0 [] LT EQ wz31 wz32 wz33 wz34 (EQ <= LT)",fontsize=16,color="black",shape="box"];18 -> 27[label="",style="solid", color="black", weight=3];
19[label="foldFM_LE1 eltsFM_LE0 [] EQ EQ wz31 wz32 wz33 wz34 (EQ <= EQ)",fontsize=16,color="black",shape="box"];19 -> 28[label="",style="solid", color="black", weight=3];
20[label="foldFM_LE1 eltsFM_LE0 [] GT EQ wz31 wz32 wz33 wz34 (EQ <= GT)",fontsize=16,color="black",shape="box"];20 -> 29[label="",style="solid", color="black", weight=3];
21[label="foldFM_LE1 eltsFM_LE0 [] LT GT wz31 wz32 wz33 wz34 (GT <= LT)",fontsize=16,color="black",shape="box"];21 -> 30[label="",style="solid", color="black", weight=3];
22[label="foldFM_LE1 eltsFM_LE0 [] EQ GT wz31 wz32 wz33 wz34 (GT <= EQ)",fontsize=16,color="black",shape="box"];22 -> 31[label="",style="solid", color="black", weight=3];
23[label="foldFM_LE1 eltsFM_LE0 [] GT GT wz31 wz32 wz33 wz34 (GT <= GT)",fontsize=16,color="black",shape="box"];23 -> 32[label="",style="solid", color="black", weight=3];
24[label="foldFM_LE1 eltsFM_LE0 [] LT LT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];24 -> 33[label="",style="solid", color="black", weight=3];
25[label="foldFM_LE1 eltsFM_LE0 [] EQ LT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];25 -> 34[label="",style="solid", color="black", weight=3];
26[label="foldFM_LE1 eltsFM_LE0 [] GT LT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];26 -> 35[label="",style="solid", color="black", weight=3];
27[label="foldFM_LE1 eltsFM_LE0 [] LT EQ wz31 wz32 wz33 wz34 False",fontsize=16,color="black",shape="box"];27 -> 36[label="",style="solid", color="black", weight=3];
28[label="foldFM_LE1 eltsFM_LE0 [] EQ EQ wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];28 -> 37[label="",style="solid", color="black", weight=3];
29[label="foldFM_LE1 eltsFM_LE0 [] GT EQ wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];29 -> 38[label="",style="solid", color="black", weight=3];
30[label="foldFM_LE1 eltsFM_LE0 [] LT GT wz31 wz32 wz33 wz34 False",fontsize=16,color="black",shape="box"];30 -> 39[label="",style="solid", color="black", weight=3];
31[label="foldFM_LE1 eltsFM_LE0 [] EQ GT wz31 wz32 wz33 wz34 False",fontsize=16,color="black",shape="box"];31 -> 40[label="",style="solid", color="black", weight=3];
32[label="foldFM_LE1 eltsFM_LE0 [] GT GT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];32 -> 41[label="",style="solid", color="black", weight=3];
33 -> 42[label="",style="dashed", color="red", weight=0];
33[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 (foldFM_LE eltsFM_LE0 [] LT wz33)) LT wz34",fontsize=16,color="magenta"];33 -> 43[label="",style="dashed", color="magenta", weight=3];
34 -> 44[label="",style="dashed", color="red", weight=0];
34[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 (foldFM_LE eltsFM_LE0 [] EQ wz33)) EQ wz34",fontsize=16,color="magenta"];34 -> 45[label="",style="dashed", color="magenta", weight=3];
35 -> 46[label="",style="dashed", color="red", weight=0];
35[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 (foldFM_LE eltsFM_LE0 [] GT wz33)) GT wz34",fontsize=16,color="magenta"];35 -> 47[label="",style="dashed", color="magenta", weight=3];
36[label="foldFM_LE0 eltsFM_LE0 [] LT EQ wz31 wz32 wz33 wz34 otherwise",fontsize=16,color="black",shape="box"];36 -> 48[label="",style="solid", color="black", weight=3];
37 -> 49[label="",style="dashed", color="red", weight=0];
37[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 (foldFM_LE eltsFM_LE0 [] EQ wz33)) EQ wz34",fontsize=16,color="magenta"];37 -> 50[label="",style="dashed", color="magenta", weight=3];
38 -> 51[label="",style="dashed", color="red", weight=0];
38[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 (foldFM_LE eltsFM_LE0 [] GT wz33)) GT wz34",fontsize=16,color="magenta"];38 -> 52[label="",style="dashed", color="magenta", weight=3];
39[label="foldFM_LE0 eltsFM_LE0 [] LT GT wz31 wz32 wz33 wz34 otherwise",fontsize=16,color="black",shape="box"];39 -> 53[label="",style="solid", color="black", weight=3];
40[label="foldFM_LE0 eltsFM_LE0 [] EQ GT wz31 wz32 wz33 wz34 otherwise",fontsize=16,color="black",shape="box"];40 -> 54[label="",style="solid", color="black", weight=3];
41 -> 55[label="",style="dashed", color="red", weight=0];
41[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 GT wz31 (foldFM_LE eltsFM_LE0 [] GT wz33)) GT wz34",fontsize=16,color="magenta"];41 -> 56[label="",style="dashed", color="magenta", weight=3];
43 -> 5[label="",style="dashed", color="red", weight=0];
43[label="foldFM_LE eltsFM_LE0 [] LT wz33",fontsize=16,color="magenta"];43 -> 57[label="",style="dashed", color="magenta", weight=3];
43 -> 58[label="",style="dashed", color="magenta", weight=3];
42[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz5) LT wz34",fontsize=16,color="burlywood",shape="triangle"];237[label="wz34/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];42 -> 237[label="",style="solid", color="burlywood", weight=9];
237 -> 59[label="",style="solid", color="burlywood", weight=3];
238[label="wz34/Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];42 -> 238[label="",style="solid", color="burlywood", weight=9];
238 -> 60[label="",style="solid", color="burlywood", weight=3];
45 -> 5[label="",style="dashed", color="red", weight=0];
45[label="foldFM_LE eltsFM_LE0 [] EQ wz33",fontsize=16,color="magenta"];45 -> 61[label="",style="dashed", color="magenta", weight=3];
45 -> 62[label="",style="dashed", color="magenta", weight=3];
44[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz6) EQ wz34",fontsize=16,color="burlywood",shape="triangle"];240[label="wz34/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];44 -> 240[label="",style="solid", color="burlywood", weight=9];
240 -> 63[label="",style="solid", color="burlywood", weight=3];
241[label="wz34/Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];44 -> 241[label="",style="solid", color="burlywood", weight=9];
241 -> 64[label="",style="solid", color="burlywood", weight=3];
47 -> 5[label="",style="dashed", color="red", weight=0];
47[label="foldFM_LE eltsFM_LE0 [] GT wz33",fontsize=16,color="magenta"];47 -> 65[label="",style="dashed", color="magenta", weight=3];
47 -> 66[label="",style="dashed", color="magenta", weight=3];
46[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz7) GT wz34",fontsize=16,color="burlywood",shape="triangle"];243[label="wz34/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];46 -> 243[label="",style="solid", color="burlywood", weight=9];
243 -> 67[label="",style="solid", color="burlywood", weight=3];
244[label="wz34/Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];46 -> 244[label="",style="solid", color="burlywood", weight=9];
244 -> 68[label="",style="solid", color="burlywood", weight=3];
48[label="foldFM_LE0 eltsFM_LE0 [] LT EQ wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];48 -> 69[label="",style="solid", color="black", weight=3];
50 -> 5[label="",style="dashed", color="red", weight=0];
50[label="foldFM_LE eltsFM_LE0 [] EQ wz33",fontsize=16,color="magenta"];50 -> 70[label="",style="dashed", color="magenta", weight=3];
50 -> 71[label="",style="dashed", color="magenta", weight=3];
49[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz8) EQ wz34",fontsize=16,color="burlywood",shape="triangle"];246[label="wz34/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];49 -> 246[label="",style="solid", color="burlywood", weight=9];
246 -> 72[label="",style="solid", color="burlywood", weight=3];
247[label="wz34/Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];49 -> 247[label="",style="solid", color="burlywood", weight=9];
247 -> 73[label="",style="solid", color="burlywood", weight=3];
52 -> 5[label="",style="dashed", color="red", weight=0];
52[label="foldFM_LE eltsFM_LE0 [] GT wz33",fontsize=16,color="magenta"];52 -> 74[label="",style="dashed", color="magenta", weight=3];
52 -> 75[label="",style="dashed", color="magenta", weight=3];
51[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz9) GT wz34",fontsize=16,color="burlywood",shape="triangle"];249[label="wz34/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];51 -> 249[label="",style="solid", color="burlywood", weight=9];
249 -> 76[label="",style="solid", color="burlywood", weight=3];
250[label="wz34/Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];51 -> 250[label="",style="solid", color="burlywood", weight=9];
250 -> 77[label="",style="solid", color="burlywood", weight=3];
53[label="foldFM_LE0 eltsFM_LE0 [] LT GT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];53 -> 78[label="",style="solid", color="black", weight=3];
54[label="foldFM_LE0 eltsFM_LE0 [] EQ GT wz31 wz32 wz33 wz34 True",fontsize=16,color="black",shape="box"];54 -> 79[label="",style="solid", color="black", weight=3];
56 -> 5[label="",style="dashed", color="red", weight=0];
56[label="foldFM_LE eltsFM_LE0 [] GT wz33",fontsize=16,color="magenta"];56 -> 80[label="",style="dashed", color="magenta", weight=3];
56 -> 81[label="",style="dashed", color="magenta", weight=3];
55[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 GT wz31 wz10) GT wz34",fontsize=16,color="burlywood",shape="triangle"];252[label="wz34/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];55 -> 252[label="",style="solid", color="burlywood", weight=9];
252 -> 82[label="",style="solid", color="burlywood", weight=3];
253[label="wz34/Branch wz340 wz341 wz342 wz343 wz344",fontsize=10,color="white",style="solid",shape="box"];55 -> 253[label="",style="solid", color="burlywood", weight=9];
253 -> 83[label="",style="solid", color="burlywood", weight=3];
57[label="wz33",fontsize=16,color="green",shape="box"];58[label="LT",fontsize=16,color="green",shape="box"];59[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz5) LT EmptyFM",fontsize=16,color="black",shape="box"];59 -> 84[label="",style="solid", color="black", weight=3];
60[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz5) LT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];60 -> 85[label="",style="solid", color="black", weight=3];
61[label="wz33",fontsize=16,color="green",shape="box"];62[label="EQ",fontsize=16,color="green",shape="box"];63[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz6) EQ EmptyFM",fontsize=16,color="black",shape="box"];63 -> 86[label="",style="solid", color="black", weight=3];
64[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz6) EQ (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];64 -> 87[label="",style="solid", color="black", weight=3];
65[label="wz33",fontsize=16,color="green",shape="box"];66[label="GT",fontsize=16,color="green",shape="box"];67[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz7) GT EmptyFM",fontsize=16,color="black",shape="box"];67 -> 88[label="",style="solid", color="black", weight=3];
68[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz31 wz7) GT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];68 -> 89[label="",style="solid", color="black", weight=3];
69 -> 5[label="",style="dashed", color="red", weight=0];
69[label="foldFM_LE eltsFM_LE0 [] LT wz33",fontsize=16,color="magenta"];69 -> 90[label="",style="dashed", color="magenta", weight=3];
69 -> 91[label="",style="dashed", color="magenta", weight=3];
70[label="wz33",fontsize=16,color="green",shape="box"];71[label="EQ",fontsize=16,color="green",shape="box"];72[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz8) EQ EmptyFM",fontsize=16,color="black",shape="box"];72 -> 92[label="",style="solid", color="black", weight=3];
73[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz8) EQ (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];73 -> 93[label="",style="solid", color="black", weight=3];
74[label="wz33",fontsize=16,color="green",shape="box"];75[label="GT",fontsize=16,color="green",shape="box"];76[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz9) GT EmptyFM",fontsize=16,color="black",shape="box"];76 -> 94[label="",style="solid", color="black", weight=3];
77[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz9) GT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];77 -> 95[label="",style="solid", color="black", weight=3];
78 -> 5[label="",style="dashed", color="red", weight=0];
78[label="foldFM_LE eltsFM_LE0 [] LT wz33",fontsize=16,color="magenta"];78 -> 96[label="",style="dashed", color="magenta", weight=3];
78 -> 97[label="",style="dashed", color="magenta", weight=3];
79 -> 5[label="",style="dashed", color="red", weight=0];
79[label="foldFM_LE eltsFM_LE0 [] EQ wz33",fontsize=16,color="magenta"];79 -> 98[label="",style="dashed", color="magenta", weight=3];
79 -> 99[label="",style="dashed", color="magenta", weight=3];
80[label="wz33",fontsize=16,color="green",shape="box"];81[label="GT",fontsize=16,color="green",shape="box"];82[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 GT wz31 wz10) GT EmptyFM",fontsize=16,color="black",shape="box"];82 -> 100[label="",style="solid", color="black", weight=3];
83[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 GT wz31 wz10) GT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];83 -> 101[label="",style="solid", color="black", weight=3];
84[label="foldFM_LE3 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz5) LT EmptyFM",fontsize=16,color="black",shape="box"];84 -> 102[label="",style="solid", color="black", weight=3];
85[label="foldFM_LE2 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz5) LT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];85 -> 103[label="",style="solid", color="black", weight=3];
86[label="foldFM_LE3 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz6) EQ EmptyFM",fontsize=16,color="black",shape="box"];86 -> 104[label="",style="solid", color="black", weight=3];
87[label="foldFM_LE2 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz6) EQ (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];87 -> 105[label="",style="solid", color="black", weight=3];
88[label="foldFM_LE3 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz7) GT EmptyFM",fontsize=16,color="black",shape="box"];88 -> 106[label="",style="solid", color="black", weight=3];
89[label="foldFM_LE2 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz7) GT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];89 -> 107[label="",style="solid", color="black", weight=3];
90[label="wz33",fontsize=16,color="green",shape="box"];91[label="LT",fontsize=16,color="green",shape="box"];92[label="foldFM_LE3 eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz8) EQ EmptyFM",fontsize=16,color="black",shape="box"];92 -> 108[label="",style="solid", color="black", weight=3];
93[label="foldFM_LE2 eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz8) EQ (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];93 -> 109[label="",style="solid", color="black", weight=3];
94[label="foldFM_LE3 eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz9) GT EmptyFM",fontsize=16,color="black",shape="box"];94 -> 110[label="",style="solid", color="black", weight=3];
95[label="foldFM_LE2 eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz9) GT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];95 -> 111[label="",style="solid", color="black", weight=3];
96[label="wz33",fontsize=16,color="green",shape="box"];97[label="LT",fontsize=16,color="green",shape="box"];98[label="wz33",fontsize=16,color="green",shape="box"];99[label="EQ",fontsize=16,color="green",shape="box"];100[label="foldFM_LE3 eltsFM_LE0 (eltsFM_LE0 GT wz31 wz10) GT EmptyFM",fontsize=16,color="black",shape="box"];100 -> 112[label="",style="solid", color="black", weight=3];
101[label="foldFM_LE2 eltsFM_LE0 (eltsFM_LE0 GT wz31 wz10) GT (Branch wz340 wz341 wz342 wz343 wz344)",fontsize=16,color="black",shape="box"];101 -> 113[label="",style="solid", color="black", weight=3];
102[label="eltsFM_LE0 LT wz31 wz5",fontsize=16,color="black",shape="triangle"];102 -> 114[label="",style="solid", color="black", weight=3];
103 -> 115[label="",style="dashed", color="red", weight=0];
103[label="foldFM_LE1 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz5) LT wz340 wz341 wz342 wz343 wz344 (wz340 <= LT)",fontsize=16,color="magenta"];103 -> 116[label="",style="dashed", color="magenta", weight=3];
104 -> 102[label="",style="dashed", color="red", weight=0];
104[label="eltsFM_LE0 LT wz31 wz6",fontsize=16,color="magenta"];104 -> 117[label="",style="dashed", color="magenta", weight=3];
105 -> 118[label="",style="dashed", color="red", weight=0];
105[label="foldFM_LE1 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz6) EQ wz340 wz341 wz342 wz343 wz344 (wz340 <= EQ)",fontsize=16,color="magenta"];105 -> 119[label="",style="dashed", color="magenta", weight=3];
106 -> 102[label="",style="dashed", color="red", weight=0];
106[label="eltsFM_LE0 LT wz31 wz7",fontsize=16,color="magenta"];106 -> 121[label="",style="dashed", color="magenta", weight=3];
107 -> 122[label="",style="dashed", color="red", weight=0];
107[label="foldFM_LE1 eltsFM_LE0 (eltsFM_LE0 LT wz31 wz7) GT wz340 wz341 wz342 wz343 wz344 (wz340 <= GT)",fontsize=16,color="magenta"];107 -> 123[label="",style="dashed", color="magenta", weight=3];
108[label="eltsFM_LE0 EQ wz31 wz8",fontsize=16,color="black",shape="triangle"];108 -> 126[label="",style="solid", color="black", weight=3];
109 -> 118[label="",style="dashed", color="red", weight=0];
109[label="foldFM_LE1 eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz8) EQ wz340 wz341 wz342 wz343 wz344 (wz340 <= EQ)",fontsize=16,color="magenta"];109 -> 120[label="",style="dashed", color="magenta", weight=3];
110 -> 108[label="",style="dashed", color="red", weight=0];
110[label="eltsFM_LE0 EQ wz31 wz9",fontsize=16,color="magenta"];110 -> 127[label="",style="dashed", color="magenta", weight=3];
111 -> 122[label="",style="dashed", color="red", weight=0];
111[label="foldFM_LE1 eltsFM_LE0 (eltsFM_LE0 EQ wz31 wz9) GT wz340 wz341 wz342 wz343 wz344 (wz340 <= GT)",fontsize=16,color="magenta"];111 -> 124[label="",style="dashed", color="magenta", weight=3];
112[label="eltsFM_LE0 GT wz31 wz10",fontsize=16,color="black",shape="triangle"];112 -> 128[label="",style="solid", color="black", weight=3];
113 -> 122[label="",style="dashed", color="red", weight=0];
113[label="foldFM_LE1 eltsFM_LE0 (eltsFM_LE0 GT wz31 wz10) GT wz340 wz341 wz342 wz343 wz344 (wz340 <= GT)",fontsize=16,color="magenta"];113 -> 125[label="",style="dashed", color="magenta", weight=3];
114[label="wz31 : wz5",fontsize=16,color="green",shape="box"];116 -> 102[label="",style="dashed", color="red", weight=0];
116[label="eltsFM_LE0 LT wz31 wz5",fontsize=16,color="magenta"];115[label="foldFM_LE1 eltsFM_LE0 wz11 LT wz340 wz341 wz342 wz343 wz344 (wz340 <= LT)",fontsize=16,color="burlywood",shape="triangle"];267[label="wz340/LT",fontsize=10,color="white",style="solid",shape="box"];115 -> 267[label="",style="solid", color="burlywood", weight=9];
267 -> 129[label="",style="solid", color="burlywood", weight=3];
268[label="wz340/EQ",fontsize=10,color="white",style="solid",shape="box"];115 -> 268[label="",style="solid", color="burlywood", weight=9];
268 -> 130[label="",style="solid", color="burlywood", weight=3];
269[label="wz340/GT",fontsize=10,color="white",style="solid",shape="box"];115 -> 269[label="",style="solid", color="burlywood", weight=9];
269 -> 131[label="",style="solid", color="burlywood", weight=3];
117[label="wz6",fontsize=16,color="green",shape="box"];119 -> 102[label="",style="dashed", color="red", weight=0];
119[label="eltsFM_LE0 LT wz31 wz6",fontsize=16,color="magenta"];119 -> 132[label="",style="dashed", color="magenta", weight=3];
118[label="foldFM_LE1 eltsFM_LE0 wz12 EQ wz340 wz341 wz342 wz343 wz344 (wz340 <= EQ)",fontsize=16,color="burlywood",shape="triangle"];271[label="wz340/LT",fontsize=10,color="white",style="solid",shape="box"];118 -> 271[label="",style="solid", color="burlywood", weight=9];
271 -> 133[label="",style="solid", color="burlywood", weight=3];
272[label="wz340/EQ",fontsize=10,color="white",style="solid",shape="box"];118 -> 272[label="",style="solid", color="burlywood", weight=9];
272 -> 134[label="",style="solid", color="burlywood", weight=3];
273[label="wz340/GT",fontsize=10,color="white",style="solid",shape="box"];118 -> 273[label="",style="solid", color="burlywood", weight=9];
273 -> 135[label="",style="solid", color="burlywood", weight=3];
121[label="wz7",fontsize=16,color="green",shape="box"];123 -> 102[label="",style="dashed", color="red", weight=0];
123[label="eltsFM_LE0 LT wz31 wz7",fontsize=16,color="magenta"];123 -> 136[label="",style="dashed", color="magenta", weight=3];
122[label="foldFM_LE1 eltsFM_LE0 wz13 GT wz340 wz341 wz342 wz343 wz344 (wz340 <= GT)",fontsize=16,color="burlywood",shape="triangle"];275[label="wz340/LT",fontsize=10,color="white",style="solid",shape="box"];122 -> 275[label="",style="solid", color="burlywood", weight=9];
275 -> 137[label="",style="solid", color="burlywood", weight=3];
276[label="wz340/EQ",fontsize=10,color="white",style="solid",shape="box"];122 -> 276[label="",style="solid", color="burlywood", weight=9];
276 -> 138[label="",style="solid", color="burlywood", weight=3];
277[label="wz340/GT",fontsize=10,color="white",style="solid",shape="box"];122 -> 277[label="",style="solid", color="burlywood", weight=9];
277 -> 139[label="",style="solid", color="burlywood", weight=3];
126[label="wz31 : wz8",fontsize=16,color="green",shape="box"];120 -> 108[label="",style="dashed", color="red", weight=0];
120[label="eltsFM_LE0 EQ wz31 wz8",fontsize=16,color="magenta"];127[label="wz9",fontsize=16,color="green",shape="box"];124 -> 108[label="",style="dashed", color="red", weight=0];
124[label="eltsFM_LE0 EQ wz31 wz9",fontsize=16,color="magenta"];124 -> 140[label="",style="dashed", color="magenta", weight=3];
128[label="wz31 : wz10",fontsize=16,color="green",shape="box"];125 -> 112[label="",style="dashed", color="red", weight=0];
125[label="eltsFM_LE0 GT wz31 wz10",fontsize=16,color="magenta"];129[label="foldFM_LE1 eltsFM_LE0 wz11 LT LT wz341 wz342 wz343 wz344 (LT <= LT)",fontsize=16,color="black",shape="box"];129 -> 141[label="",style="solid", color="black", weight=3];
130[label="foldFM_LE1 eltsFM_LE0 wz11 LT EQ wz341 wz342 wz343 wz344 (EQ <= LT)",fontsize=16,color="black",shape="box"];130 -> 142[label="",style="solid", color="black", weight=3];
131[label="foldFM_LE1 eltsFM_LE0 wz11 LT GT wz341 wz342 wz343 wz344 (GT <= LT)",fontsize=16,color="black",shape="box"];131 -> 143[label="",style="solid", color="black", weight=3];
132[label="wz6",fontsize=16,color="green",shape="box"];133[label="foldFM_LE1 eltsFM_LE0 wz12 EQ LT wz341 wz342 wz343 wz344 (LT <= EQ)",fontsize=16,color="black",shape="box"];133 -> 144[label="",style="solid", color="black", weight=3];
134[label="foldFM_LE1 eltsFM_LE0 wz12 EQ EQ wz341 wz342 wz343 wz344 (EQ <= EQ)",fontsize=16,color="black",shape="box"];134 -> 145[label="",style="solid", color="black", weight=3];
135[label="foldFM_LE1 eltsFM_LE0 wz12 EQ GT wz341 wz342 wz343 wz344 (GT <= EQ)",fontsize=16,color="black",shape="box"];135 -> 146[label="",style="solid", color="black", weight=3];
136[label="wz7",fontsize=16,color="green",shape="box"];137[label="foldFM_LE1 eltsFM_LE0 wz13 GT LT wz341 wz342 wz343 wz344 (LT <= GT)",fontsize=16,color="black",shape="box"];137 -> 147[label="",style="solid", color="black", weight=3];
138[label="foldFM_LE1 eltsFM_LE0 wz13 GT EQ wz341 wz342 wz343 wz344 (EQ <= GT)",fontsize=16,color="black",shape="box"];138 -> 148[label="",style="solid", color="black", weight=3];
139[label="foldFM_LE1 eltsFM_LE0 wz13 GT GT wz341 wz342 wz343 wz344 (GT <= GT)",fontsize=16,color="black",shape="box"];139 -> 149[label="",style="solid", color="black", weight=3];
140[label="wz9",fontsize=16,color="green",shape="box"];141[label="foldFM_LE1 eltsFM_LE0 wz11 LT LT wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];141 -> 150[label="",style="solid", color="black", weight=3];
142[label="foldFM_LE1 eltsFM_LE0 wz11 LT EQ wz341 wz342 wz343 wz344 False",fontsize=16,color="black",shape="box"];142 -> 151[label="",style="solid", color="black", weight=3];
143[label="foldFM_LE1 eltsFM_LE0 wz11 LT GT wz341 wz342 wz343 wz344 False",fontsize=16,color="black",shape="box"];143 -> 152[label="",style="solid", color="black", weight=3];
144[label="foldFM_LE1 eltsFM_LE0 wz12 EQ LT wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];144 -> 153[label="",style="solid", color="black", weight=3];
145[label="foldFM_LE1 eltsFM_LE0 wz12 EQ EQ wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];145 -> 154[label="",style="solid", color="black", weight=3];
146[label="foldFM_LE1 eltsFM_LE0 wz12 EQ GT wz341 wz342 wz343 wz344 False",fontsize=16,color="black",shape="box"];146 -> 155[label="",style="solid", color="black", weight=3];
147[label="foldFM_LE1 eltsFM_LE0 wz13 GT LT wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];147 -> 156[label="",style="solid", color="black", weight=3];
148[label="foldFM_LE1 eltsFM_LE0 wz13 GT EQ wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];148 -> 157[label="",style="solid", color="black", weight=3];
149[label="foldFM_LE1 eltsFM_LE0 wz13 GT GT wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];149 -> 158[label="",style="solid", color="black", weight=3];
150 -> 42[label="",style="dashed", color="red", weight=0];
150[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz341 (foldFM_LE eltsFM_LE0 wz11 LT wz343)) LT wz344",fontsize=16,color="magenta"];150 -> 159[label="",style="dashed", color="magenta", weight=3];
150 -> 160[label="",style="dashed", color="magenta", weight=3];
150 -> 161[label="",style="dashed", color="magenta", weight=3];
151[label="foldFM_LE0 eltsFM_LE0 wz11 LT EQ wz341 wz342 wz343 wz344 otherwise",fontsize=16,color="black",shape="box"];151 -> 162[label="",style="solid", color="black", weight=3];
152[label="foldFM_LE0 eltsFM_LE0 wz11 LT GT wz341 wz342 wz343 wz344 otherwise",fontsize=16,color="black",shape="box"];152 -> 163[label="",style="solid", color="black", weight=3];
153 -> 44[label="",style="dashed", color="red", weight=0];
153[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz341 (foldFM_LE eltsFM_LE0 wz12 EQ wz343)) EQ wz344",fontsize=16,color="magenta"];153 -> 164[label="",style="dashed", color="magenta", weight=3];
153 -> 165[label="",style="dashed", color="magenta", weight=3];
153 -> 166[label="",style="dashed", color="magenta", weight=3];
154 -> 49[label="",style="dashed", color="red", weight=0];
154[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz341 (foldFM_LE eltsFM_LE0 wz12 EQ wz343)) EQ wz344",fontsize=16,color="magenta"];154 -> 167[label="",style="dashed", color="magenta", weight=3];
154 -> 168[label="",style="dashed", color="magenta", weight=3];
154 -> 169[label="",style="dashed", color="magenta", weight=3];
155[label="foldFM_LE0 eltsFM_LE0 wz12 EQ GT wz341 wz342 wz343 wz344 otherwise",fontsize=16,color="black",shape="box"];155 -> 170[label="",style="solid", color="black", weight=3];
156 -> 46[label="",style="dashed", color="red", weight=0];
156[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 LT wz341 (foldFM_LE eltsFM_LE0 wz13 GT wz343)) GT wz344",fontsize=16,color="magenta"];156 -> 171[label="",style="dashed", color="magenta", weight=3];
156 -> 172[label="",style="dashed", color="magenta", weight=3];
156 -> 173[label="",style="dashed", color="magenta", weight=3];
157 -> 51[label="",style="dashed", color="red", weight=0];
157[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 EQ wz341 (foldFM_LE eltsFM_LE0 wz13 GT wz343)) GT wz344",fontsize=16,color="magenta"];157 -> 174[label="",style="dashed", color="magenta", weight=3];
157 -> 175[label="",style="dashed", color="magenta", weight=3];
157 -> 176[label="",style="dashed", color="magenta", weight=3];
158 -> 55[label="",style="dashed", color="red", weight=0];
158[label="foldFM_LE eltsFM_LE0 (eltsFM_LE0 GT wz341 (foldFM_LE eltsFM_LE0 wz13 GT wz343)) GT wz344",fontsize=16,color="magenta"];158 -> 177[label="",style="dashed", color="magenta", weight=3];
158 -> 178[label="",style="dashed", color="magenta", weight=3];
158 -> 179[label="",style="dashed", color="magenta", weight=3];
159[label="wz344",fontsize=16,color="green",shape="box"];160[label="foldFM_LE eltsFM_LE0 wz11 LT wz343",fontsize=16,color="burlywood",shape="triangle"];287[label="wz343/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];160 -> 287[label="",style="solid", color="burlywood", weight=9];
287 -> 180[label="",style="solid", color="burlywood", weight=3];
288[label="wz343/Branch wz3430 wz3431 wz3432 wz3433 wz3434",fontsize=10,color="white",style="solid",shape="box"];160 -> 288[label="",style="solid", color="burlywood", weight=9];
288 -> 181[label="",style="solid", color="burlywood", weight=3];
161[label="wz341",fontsize=16,color="green",shape="box"];162[label="foldFM_LE0 eltsFM_LE0 wz11 LT EQ wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];162 -> 182[label="",style="solid", color="black", weight=3];
163[label="foldFM_LE0 eltsFM_LE0 wz11 LT GT wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];163 -> 183[label="",style="solid", color="black", weight=3];
164[label="wz344",fontsize=16,color="green",shape="box"];165[label="foldFM_LE eltsFM_LE0 wz12 EQ wz343",fontsize=16,color="burlywood",shape="triangle"];289[label="wz343/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];165 -> 289[label="",style="solid", color="burlywood", weight=9];
289 -> 184[label="",style="solid", color="burlywood", weight=3];
290[label="wz343/Branch wz3430 wz3431 wz3432 wz3433 wz3434",fontsize=10,color="white",style="solid",shape="box"];165 -> 290[label="",style="solid", color="burlywood", weight=9];
290 -> 185[label="",style="solid", color="burlywood", weight=3];
166[label="wz341",fontsize=16,color="green",shape="box"];167[label="wz344",fontsize=16,color="green",shape="box"];168[label="wz341",fontsize=16,color="green",shape="box"];169 -> 165[label="",style="dashed", color="red", weight=0];
169[label="foldFM_LE eltsFM_LE0 wz12 EQ wz343",fontsize=16,color="magenta"];170[label="foldFM_LE0 eltsFM_LE0 wz12 EQ GT wz341 wz342 wz343 wz344 True",fontsize=16,color="black",shape="box"];170 -> 186[label="",style="solid", color="black", weight=3];
171[label="wz344",fontsize=16,color="green",shape="box"];172[label="foldFM_LE eltsFM_LE0 wz13 GT wz343",fontsize=16,color="burlywood",shape="triangle"];292[label="wz343/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];172 -> 292[label="",style="solid", color="burlywood", weight=9];
292 -> 187[label="",style="solid", color="burlywood", weight=3];
293[label="wz343/Branch wz3430 wz3431 wz3432 wz3433 wz3434",fontsize=10,color="white",style="solid",shape="box"];172 -> 293[label="",style="solid", color="burlywood", weight=9];
293 -> 188[label="",style="solid", color="burlywood", weight=3];
173[label="wz341",fontsize=16,color="green",shape="box"];174[label="wz344",fontsize=16,color="green",shape="box"];175[label="wz341",fontsize=16,color="green",shape="box"];176 -> 172[label="",style="dashed", color="red", weight=0];
176[label="foldFM_LE eltsFM_LE0 wz13 GT wz343",fontsize=16,color="magenta"];177[label="wz344",fontsize=16,color="green",shape="box"];178[label="wz341",fontsize=16,color="green",shape="box"];179 -> 172[label="",style="dashed", color="red", weight=0];
179[label="foldFM_LE eltsFM_LE0 wz13 GT wz343",fontsize=16,color="magenta"];180[label="foldFM_LE eltsFM_LE0 wz11 LT EmptyFM",fontsize=16,color="black",shape="box"];180 -> 189[label="",style="solid", color="black", weight=3];
181[label="foldFM_LE eltsFM_LE0 wz11 LT (Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];181 -> 190[label="",style="solid", color="black", weight=3];
182 -> 160[label="",style="dashed", color="red", weight=0];
182[label="foldFM_LE eltsFM_LE0 wz11 LT wz343",fontsize=16,color="magenta"];183 -> 160[label="",style="dashed", color="red", weight=0];
183[label="foldFM_LE eltsFM_LE0 wz11 LT wz343",fontsize=16,color="magenta"];184[label="foldFM_LE eltsFM_LE0 wz12 EQ EmptyFM",fontsize=16,color="black",shape="box"];184 -> 191[label="",style="solid", color="black", weight=3];
185[label="foldFM_LE eltsFM_LE0 wz12 EQ (Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];185 -> 192[label="",style="solid", color="black", weight=3];
186 -> 165[label="",style="dashed", color="red", weight=0];
186[label="foldFM_LE eltsFM_LE0 wz12 EQ wz343",fontsize=16,color="magenta"];187[label="foldFM_LE eltsFM_LE0 wz13 GT EmptyFM",fontsize=16,color="black",shape="box"];187 -> 193[label="",style="solid", color="black", weight=3];
188[label="foldFM_LE eltsFM_LE0 wz13 GT (Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];188 -> 194[label="",style="solid", color="black", weight=3];
189[label="foldFM_LE3 eltsFM_LE0 wz11 LT EmptyFM",fontsize=16,color="black",shape="box"];189 -> 195[label="",style="solid", color="black", weight=3];
190[label="foldFM_LE2 eltsFM_LE0 wz11 LT (Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];190 -> 196[label="",style="solid", color="black", weight=3];
191[label="foldFM_LE3 eltsFM_LE0 wz12 EQ EmptyFM",fontsize=16,color="black",shape="box"];191 -> 197[label="",style="solid", color="black", weight=3];
192[label="foldFM_LE2 eltsFM_LE0 wz12 EQ (Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];192 -> 198[label="",style="solid", color="black", weight=3];
193[label="foldFM_LE3 eltsFM_LE0 wz13 GT EmptyFM",fontsize=16,color="black",shape="box"];193 -> 199[label="",style="solid", color="black", weight=3];
194[label="foldFM_LE2 eltsFM_LE0 wz13 GT (Branch wz3430 wz3431 wz3432 wz3433 wz3434)",fontsize=16,color="black",shape="box"];194 -> 200[label="",style="solid", color="black", weight=3];
195[label="wz11",fontsize=16,color="green",shape="box"];196 -> 115[label="",style="dashed", color="red", weight=0];
196[label="foldFM_LE1 eltsFM_LE0 wz11 LT wz3430 wz3431 wz3432 wz3433 wz3434 (wz3430 <= LT)",fontsize=16,color="magenta"];196 -> 201[label="",style="dashed", color="magenta", weight=3];
196 -> 202[label="",style="dashed", color="magenta", weight=3];
196 -> 203[label="",style="dashed", color="magenta", weight=3];
196 -> 204[label="",style="dashed", color="magenta", weight=3];
196 -> 205[label="",style="dashed", color="magenta", weight=3];
197[label="wz12",fontsize=16,color="green",shape="box"];198 -> 118[label="",style="dashed", color="red", weight=0];
198[label="foldFM_LE1 eltsFM_LE0 wz12 EQ wz3430 wz3431 wz3432 wz3433 wz3434 (wz3430 <= EQ)",fontsize=16,color="magenta"];198 -> 206[label="",style="dashed", color="magenta", weight=3];
198 -> 207[label="",style="dashed", color="magenta", weight=3];
198 -> 208[label="",style="dashed", color="magenta", weight=3];
198 -> 209[label="",style="dashed", color="magenta", weight=3];
198 -> 210[label="",style="dashed", color="magenta", weight=3];
199[label="wz13",fontsize=16,color="green",shape="box"];200 -> 122[label="",style="dashed", color="red", weight=0];
200[label="foldFM_LE1 eltsFM_LE0 wz13 GT wz3430 wz3431 wz3432 wz3433 wz3434 (wz3430 <= GT)",fontsize=16,color="magenta"];200 -> 211[label="",style="dashed", color="magenta", weight=3];
200 -> 212[label="",style="dashed", color="magenta", weight=3];
200 -> 213[label="",style="dashed", color="magenta", weight=3];
200 -> 214[label="",style="dashed", color="magenta", weight=3];
200 -> 215[label="",style="dashed", color="magenta", weight=3];
201[label="wz3431",fontsize=16,color="green",shape="box"];202[label="wz3433",fontsize=16,color="green",shape="box"];203[label="wz3430",fontsize=16,color="green",shape="box"];204[label="wz3432",fontsize=16,color="green",shape="box"];205[label="wz3434",fontsize=16,color="green",shape="box"];206[label="wz3431",fontsize=16,color="green",shape="box"];207[label="wz3433",fontsize=16,color="green",shape="box"];208[label="wz3430",fontsize=16,color="green",shape="box"];209[label="wz3432",fontsize=16,color="green",shape="box"];210[label="wz3434",fontsize=16,color="green",shape="box"];211[label="wz3431",fontsize=16,color="green",shape="box"];212[label="wz3433",fontsize=16,color="green",shape="box"];213[label="wz3430",fontsize=16,color="green",shape="box"];214[label="wz3432",fontsize=16,color="green",shape="box"];215[label="wz3434",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ AND

                  ↳ QDP

                    ↳ QDPSizeChangeProof

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_foldFM_LE1(wz13, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE3(wz13, wz343, h)
new_foldFM_LE4(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE1(new_eltsFM_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE2(wz31, wz9, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE1(new_eltsFM_LE00(wz31, wz9, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE1(wz13, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE3(wz13, wz343, h)
new_foldFM_LE1(wz13, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE2(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
new_foldFM_LE1(wz13, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
new_foldFM_LE1(wz13, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE4(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
new_foldFM_LE(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE1(new_eltsFM_LE0(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE3(wz13, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE1(wz13, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE1(wz13, LT, wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) → new_foldFM_LE1(wz13, wz3430, wz3431, wz3432, wz3433, wz3434, h)

The TRS R consists of the following rules:

new_foldFM_LE5(wz31, wz9, EmptyFM, h) → new_eltsFM_LE00(wz31, wz9, h)
new_foldFM_LE6(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE10(new_eltsFM_LE0(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
new_eltsFM_LE0(wz31, wz5, h) → :(wz31, wz5)
new_foldFM_LE0(wz13, EmptyFM, h) → wz13
new_eltsFM_LE01(wz31, wz10, h) → :(wz31, wz10)
new_foldFM_LE7(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE10(new_eltsFM_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE10(wz13, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE7(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
new_eltsFM_LE00(wz31, wz8, h) → :(wz31, wz8)
new_foldFM_LE6(wz31, wz7, EmptyFM, h) → new_eltsFM_LE0(wz31, wz7, h)
new_foldFM_LE5(wz31, wz9, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE10(new_eltsFM_LE00(wz31, wz9, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE7(wz31, wz10, EmptyFM, h) → new_eltsFM_LE01(wz31, wz10, h)
new_foldFM_LE10(wz13, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE6(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
new_foldFM_LE0(wz13, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE10(wz13, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE10(wz13, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE5(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)

The set Q consists of the following terms:

new_foldFM_LE10(x0, GT, x1, x2, x3, x4, x5)
new_foldFM_LE10(x0, EQ, x1, x2, x3, x4, x5)
new_foldFM_LE10(x0, LT, x1, x2, x3, x4, x5)
new_foldFM_LE7(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
new_foldFM_LE0(x0, Branch(x1, x2, x3, x4, x5), x6)
new_eltsFM_LE00(x0, x1, x2)
new_foldFM_LE0(x0, EmptyFM, x1)
new_eltsFM_LE01(x0, x1, x2)
new_foldFM_LE7(x0, x1, EmptyFM, x2)
new_eltsFM_LE0(x0, x1, x2)
new_foldFM_LE6(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
new_foldFM_LE6(x0, x1, EmptyFM, x2)
new_foldFM_LE5(x0, x1, EmptyFM, x2)
new_foldFM_LE5(x0, x1, Branch(x2, x3, x4, x5, x6), x7)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] 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_LE1(wz13, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE4(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
new_foldFM_LE1(wz13, LT, wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) → new_foldFM_LE1(wz13, wz3430, wz3431, wz3432, wz3433, wz3434, h)
The graph contains the following edges 1 >= 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 5 > 6, 7 >= 7
new_foldFM_LE3(wz13, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE1(wz13, wz3430, wz3431, wz3432, wz3433, wz3434, h)
The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 7
new_foldFM_LE1(wz13, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE2(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
new_foldFM_LE2(wz31, wz9, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE1(new_eltsFM_LE00(wz31, wz9, h), wz340, wz341, wz342, wz343, wz344, h)
The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
new_foldFM_LE(wz31, wz7, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE1(new_eltsFM_LE0(wz31, wz7, h), wz340, wz341, wz342, wz343, wz344, h)
The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
new_foldFM_LE4(wz31, wz10, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE1(new_eltsFM_LE01(wz31, wz10, h), wz340, wz341, wz342, wz343, wz344, h)
The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
new_foldFM_LE1(wz13, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE(wz341, new_foldFM_LE0(wz13, wz343, h), wz344, h)
The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
new_foldFM_LE1(wz13, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE3(wz13, wz343, h)
The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3
new_foldFM_LE1(wz13, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE3(wz13, wz343, h)
The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ AND

                  ↳ QDP

                  ↳ QDP

                    ↳ QDPSizeChangeProof

                  ↳ QDP

                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_foldFM_LE11(wz12, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE13(wz12, wz343, h)
new_foldFM_LE11(wz12, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE13(wz12, wz343, h)
new_foldFM_LE13(wz12, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE11(wz12, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE11(wz12, LT, wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) → new_foldFM_LE11(wz12, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE11(wz12, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE8(wz341, new_foldFM_LE9(wz12, wz343, h), wz344, h)
new_foldFM_LE11(wz12, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE12(wz341, new_foldFM_LE9(wz12, wz343, h), wz344, h)
new_foldFM_LE12(wz31, wz8, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE11(new_eltsFM_LE00(wz31, wz8, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE8(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE11(new_eltsFM_LE0(wz31, wz6, h), wz340, wz341, wz342, wz343, wz344, h)

The TRS R consists of the following rules:

new_eltsFM_LE00(wz31, wz8, h) → :(wz31, wz8)
new_foldFM_LE14(wz12, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE16(wz341, new_foldFM_LE9(wz12, wz343, h), wz344, h)
new_eltsFM_LE0(wz31, wz5, h) → :(wz31, wz5)
new_foldFM_LE16(wz31, wz8, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE14(new_eltsFM_LE00(wz31, wz8, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE14(wz12, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE15(wz341, new_foldFM_LE9(wz12, wz343, h), wz344, h)
new_foldFM_LE16(wz31, wz8, EmptyFM, h) → new_eltsFM_LE00(wz31, wz8, h)
new_foldFM_LE9(wz12, EmptyFM, h) → wz12
new_foldFM_LE15(wz31, wz6, EmptyFM, h) → new_eltsFM_LE0(wz31, wz6, h)
new_foldFM_LE9(wz12, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE14(wz12, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE15(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE14(new_eltsFM_LE0(wz31, wz6, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE14(wz12, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE9(wz12, wz343, h)

The set Q consists of the following terms:

new_foldFM_LE14(x0, GT, x1, x2, x3, x4, x5)
new_foldFM_LE16(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
new_foldFM_LE9(x0, Branch(x1, x2, x3, x4, x5), x6)
new_foldFM_LE15(x0, x1, EmptyFM, x2)
new_foldFM_LE14(x0, LT, x1, x2, x3, x4, x5)
new_foldFM_LE16(x0, x1, EmptyFM, x2)
new_eltsFM_LE00(x0, x1, x2)
new_foldFM_LE9(x0, EmptyFM, x1)
new_foldFM_LE15(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
new_foldFM_LE14(x0, EQ, x1, x2, x3, x4, x5)
new_eltsFM_LE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] 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_LE11(wz12, LT, wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) → new_foldFM_LE11(wz12, wz3430, wz3431, wz3432, wz3433, wz3434, h)
The graph contains the following edges 1 >= 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 5 > 6, 7 >= 7
new_foldFM_LE13(wz12, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE11(wz12, wz3430, wz3431, wz3432, wz3433, wz3434, h)
The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 7
new_foldFM_LE12(wz31, wz8, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE11(new_eltsFM_LE00(wz31, wz8, h), wz340, wz341, wz342, wz343, wz344, h)
The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
new_foldFM_LE8(wz31, wz6, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE11(new_eltsFM_LE0(wz31, wz6, h), wz340, wz341, wz342, wz343, wz344, h)
The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
new_foldFM_LE11(wz12, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE12(wz341, new_foldFM_LE9(wz12, wz343, h), wz344, h)
The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
new_foldFM_LE11(wz12, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE8(wz341, new_foldFM_LE9(wz12, wz343, h), wz344, h)
The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
new_foldFM_LE11(wz12, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE13(wz12, wz343, h)
The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3
new_foldFM_LE11(wz12, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE13(wz12, wz343, h)
The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ AND

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                    ↳ QDPSizeChangeProof

                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_foldFM_LE17(wz11, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE18(wz341, new_foldFM_LE19(wz11, wz343, h), wz344, h)
new_foldFM_LE17(wz11, LT, wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) → new_foldFM_LE17(wz11, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE17(wz11, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE20(wz11, wz343, h)
new_foldFM_LE18(wz31, wz5, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE17(new_eltsFM_LE0(wz31, wz5, h), wz340, wz341, wz342, wz343, wz344, h)
new_foldFM_LE20(wz11, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE17(wz11, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE17(wz11, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE20(wz11, wz343, h)

The TRS R consists of the following rules:

new_foldFM_LE19(wz11, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE110(wz11, wz3430, wz3431, wz3432, wz3433, wz3434, h)
new_foldFM_LE110(wz11, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE19(wz11, wz343, h)
new_foldFM_LE21(wz31, wz5, EmptyFM, h) → new_eltsFM_LE0(wz31, wz5, h)
new_eltsFM_LE0(wz31, wz5, h) → :(wz31, wz5)
new_foldFM_LE110(wz11, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE21(wz341, new_foldFM_LE19(wz11, wz343, h), wz344, h)
new_foldFM_LE110(wz11, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE19(wz11, wz343, h)
new_foldFM_LE19(wz11, EmptyFM, h) → wz11
new_foldFM_LE21(wz31, wz5, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE110(new_eltsFM_LE0(wz31, wz5, h), wz340, wz341, wz342, wz343, wz344, h)

The set Q consists of the following terms:

new_foldFM_LE21(x0, x1, Branch(x2, x3, x4, x5, x6), x7)
new_foldFM_LE19(x0, Branch(x1, x2, x3, x4, x5), x6)
new_foldFM_LE19(x0, EmptyFM, x1)
new_foldFM_LE110(x0, LT, x1, x2, x3, x4, x5)
new_foldFM_LE21(x0, x1, EmptyFM, x2)
new_foldFM_LE110(x0, EQ, x1, x2, x3, x4, x5)
new_foldFM_LE110(x0, GT, x1, x2, x3, x4, x5)
new_eltsFM_LE0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] 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_LE18(wz31, wz5, Branch(wz340, wz341, wz342, wz343, wz344), h) → new_foldFM_LE17(new_eltsFM_LE0(wz31, wz5, h), wz340, wz341, wz342, wz343, wz344, h)
The graph contains the following edges 3 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 4 >= 7
new_foldFM_LE17(wz11, LT, wz341, wz342, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), wz344, h) → new_foldFM_LE17(wz11, wz3430, wz3431, wz3432, wz3433, wz3434, h)
The graph contains the following edges 1 >= 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 5 > 6, 7 >= 7
new_foldFM_LE20(wz11, Branch(wz3430, wz3431, wz3432, wz3433, wz3434), h) → new_foldFM_LE17(wz11, wz3430, wz3431, wz3432, wz3433, wz3434, h)
The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 7
new_foldFM_LE17(wz11, LT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE18(wz341, new_foldFM_LE19(wz11, wz343, h), wz344, h)
The graph contains the following edges 3 >= 1, 6 >= 3, 7 >= 4
new_foldFM_LE17(wz11, EQ, wz341, wz342, wz343, wz344, h) → new_foldFM_LE20(wz11, wz343, h)
The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3
new_foldFM_LE17(wz11, GT, wz341, wz342, wz343, wz344, h) → new_foldFM_LE20(wz11, wz343, h)
The graph contains the following edges 1 >= 1, 5 >= 2, 7 >= 3

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ AND

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                    ↳ DependencyGraphProof

Q DP problem:
The TRS P consists of the following rules:

new_foldFM_LE22(EQ, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
new_foldFM_LE22(GT, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)
new_foldFM_LE22(EQ, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
new_foldFM_LE22(LT, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
new_foldFM_LE22(LT, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
new_foldFM_LE22(GT, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)
new_foldFM_LE22(LT, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
new_foldFM_LE22(EQ, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
new_foldFM_LE22(GT, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 3 SCCs.

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ AND

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                    ↳ DependencyGraphProof

                      ↳ AND

                        ↳ QDP

                          ↳ QDPSizeChangeProof

                        ↳ QDP

                        ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_foldFM_LE22(LT, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
new_foldFM_LE22(LT, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
new_foldFM_LE22(LT, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] 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_LE22(LT, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 1, 2 > 2, 3 >= 3
new_foldFM_LE22(LT, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
new_foldFM_LE22(LT, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(LT, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ AND

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                    ↳ DependencyGraphProof

                      ↳ AND

                        ↳ QDP

                        ↳ QDP

                          ↳ QDPSizeChangeProof

                        ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_foldFM_LE22(GT, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)
new_foldFM_LE22(GT, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)
new_foldFM_LE22(GT, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)

From the DPs we obtained the following set of size-change graphs:

new_foldFM_LE22(GT, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
new_foldFM_LE22(GT, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
new_foldFM_LE22(GT, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(GT, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 1, 2 > 2, 3 >= 3

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ AND

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                  ↳ QDP

                    ↳ DependencyGraphProof

                      ↳ AND

                        ↳ QDP

                        ↳ QDP

                        ↳ QDP

                          ↳ QDPSizeChangeProof

Q DP problem:
The TRS P consists of the following rules:

new_foldFM_LE22(EQ, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
new_foldFM_LE22(EQ, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
new_foldFM_LE22(EQ, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)

From the DPs we obtained the following set of size-change graphs:

new_foldFM_LE22(EQ, Branch(LT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
new_foldFM_LE22(EQ, Branch(GT, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3
new_foldFM_LE22(EQ, Branch(EQ, wz31, wz32, wz33, wz34), h) → new_foldFM_LE22(EQ, wz33, h)
The graph contains the following edges 1 >= 1, 2 > 1, 2 > 2, 3 >= 3

foldFM_LE	k z fr EmptyFM	= foldFM_LE3 k z fr EmptyFM
foldFM_LE	k z fr (Branch key elt vw fm_l fm_r)	= foldFM_LE2 k z fr (Branch key elt vw fm_l fm_r)

foldFM_LE1	k z fr key elt vw 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 vw fm_l fm_r False	= foldFM_LE0 k z fr key elt vw fm_l fm_r otherwise