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

YES 0.555 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule Main

((toEnum :: Enum a => Int -> a) :: Enum a => Int -> a)

module Main where

import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule Main

((toEnum :: Enum a => Int -> a) :: Enum a => Int -> a)

module Main where

import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

The following Function with conditions

toEnum 0 = False

toEnum 1 = True

is transformed to

toEnum wu = toEnum3 wu

toEnum vz = toEnum1 vz

toEnum0 True vz = True

toEnum1 vz = toEnum0 (vz == 1) vz

toEnum2 True wu = False

toEnum2 wv ww = toEnum1 ww

toEnum3 wu = toEnum2 (wu == 0) wu

toEnum3 wx = toEnum1 wx

The following Function with conditions

toEnum 0 = ()

is transformed to

toEnum wy = toEnum5 wy

toEnum4 True wy = ()

toEnum5 wy = toEnum4 (wy == 0) wy

The following Function with conditions

toEnum 0 = LT

toEnum 1 = EQ

toEnum 2 = GT

is transformed to

toEnum xy = toEnum11 xy

toEnum xu = toEnum9 xu

toEnum wz = toEnum7 wz

toEnum6 True wz = GT

toEnum7 wz = toEnum6 (wz == 2) wz

toEnum8 True xu = EQ

toEnum8 xv xw = toEnum7 xw

toEnum9 xu = toEnum8 (xu == 1) xu

toEnum9 xx = toEnum7 xx

toEnum10 True xy = LT

toEnum10 xz yu = toEnum9 yu

toEnum11 xy = toEnum10 (xy == 0) xy

toEnum11 yv = toEnum9 yv

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ NumRed

mainModule Main

((toEnum :: Enum a => Int -> a) :: Enum a => Int -> a)

module Main where

import qualified Prelude

Num Reduction: All numbers are transformed to thier corresponding representation with Pos, Neg, Succ and Zero.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ NumRed

            ↳ HASKELL

              ↳ Narrow

mainModule Main

(toEnum :: Enum a => Int -> a)

module Main where

import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="toEnum\n  Enum a",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="toEnum yw3\n  Enum a",fontsize=16,color="blue",shape="box"];132[label="toEnum :: Int -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3 -> 132[label="",style="solid", color="blue", weight=9];
132 -> 4[label="",style="solid", color="blue", weight=3];
133[label="toEnum :: Int -> Float",fontsize=10,color="white",style="solid",shape="box"];3 -> 133[label="",style="solid", color="blue", weight=9];
133 -> 5[label="",style="solid", color="blue", weight=3];
134[label="toEnum :: Int -> Double",fontsize=10,color="white",style="solid",shape="box"];3 -> 134[label="",style="solid", color="blue", weight=9];
134 -> 6[label="",style="solid", color="blue", weight=3];
135[label="toEnum :: Int -> Ratio a",fontsize=10,color="white",style="solid",shape="box"];3 -> 135[label="",style="solid", color="blue", weight=9];
135 -> 7[label="",style="solid", color="blue", weight=3];
136[label="toEnum :: Int -> Integer",fontsize=10,color="white",style="solid",shape="box"];3 -> 136[label="",style="solid", color="blue", weight=9];
136 -> 8[label="",style="solid", color="blue", weight=3];
137[label="toEnum :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];3 -> 137[label="",style="solid", color="blue", weight=9];
137 -> 9[label="",style="solid", color="blue", weight=3];
138[label="toEnum :: Int -> Char",fontsize=10,color="white",style="solid",shape="box"];3 -> 138[label="",style="solid", color="blue", weight=9];
138 -> 10[label="",style="solid", color="blue", weight=3];
139[label="toEnum :: Int -> ()",fontsize=10,color="white",style="solid",shape="box"];3 -> 139[label="",style="solid", color="blue", weight=9];
139 -> 11[label="",style="solid", color="blue", weight=3];
140[label="toEnum :: Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];3 -> 140[label="",style="solid", color="blue", weight=9];
140 -> 12[label="",style="solid", color="blue", weight=3];
4[label="toEnum yw3",fontsize=16,color="black",shape="box"];4 -> 13[label="",style="solid", color="black", weight=3];
5[label="toEnum yw3",fontsize=16,color="black",shape="box"];5 -> 14[label="",style="solid", color="black", weight=3];
6[label="toEnum yw3",fontsize=16,color="black",shape="box"];6 -> 15[label="",style="solid", color="black", weight=3];
7[label="toEnum yw3\n  Integral a",fontsize=16,color="black",shape="box"];7 -> 16[label="",style="solid", color="black", weight=3];
8[label="toEnum yw3",fontsize=16,color="black",shape="box"];8 -> 17[label="",style="solid", color="black", weight=3];
9[label="toEnum yw3",fontsize=16,color="black",shape="box"];9 -> 18[label="",style="solid", color="black", weight=3];
10[label="toEnum yw3",fontsize=16,color="black",shape="box"];10 -> 19[label="",style="solid", color="black", weight=3];
11[label="toEnum yw3",fontsize=16,color="black",shape="box"];11 -> 20[label="",style="solid", color="black", weight=3];
12[label="toEnum yw3",fontsize=16,color="black",shape="box"];12 -> 21[label="",style="solid", color="black", weight=3];
13[label="toEnum11 yw3",fontsize=16,color="black",shape="box"];13 -> 22[label="",style="solid", color="black", weight=3];
14[label="primIntToFloat yw3",fontsize=16,color="black",shape="box"];14 -> 23[label="",style="solid", color="black", weight=3];
15[label="primIntToDouble yw3",fontsize=16,color="black",shape="box"];15 -> 24[label="",style="solid", color="black", weight=3];
16[label="fromInt yw3\n  Integral a",fontsize=16,color="black",shape="box"];16 -> 25[label="",style="solid", color="black", weight=3];
17[label="Integer yw3",fontsize=16,color="green",shape="box"];18[label="id yw3",fontsize=16,color="black",shape="box"];18 -> 26[label="",style="solid", color="black", weight=3];
19[label="primIntToChar yw3",fontsize=16,color="burlywood",shape="box"];141[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];19 -> 141[label="",style="solid", color="burlywood", weight=9];
141 -> 27[label="",style="solid", color="burlywood", weight=3];
142[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];19 -> 142[label="",style="solid", color="burlywood", weight=9];
142 -> 28[label="",style="solid", color="burlywood", weight=3];
20[label="toEnum5 yw3",fontsize=16,color="black",shape="box"];20 -> 29[label="",style="solid", color="black", weight=3];
21[label="toEnum3 yw3",fontsize=16,color="black",shape="box"];21 -> 30[label="",style="solid", color="black", weight=3];
22[label="toEnum10 (yw3 == Pos Zero) yw3",fontsize=16,color="black",shape="box"];22 -> 31[label="",style="solid", color="black", weight=3];
23[label="Float yw3 (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];24[label="Double yw3 (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];25[label="intToRatio yw3\n  Integral a",fontsize=16,color="black",shape="box"];25 -> 32[label="",style="solid", color="black", weight=3];
26[label="yw3",fontsize=16,color="green",shape="box"];27[label="primIntToChar (Pos yw30)",fontsize=16,color="black",shape="box"];27 -> 33[label="",style="solid", color="black", weight=3];
28[label="primIntToChar (Neg yw30)",fontsize=16,color="burlywood",shape="box"];143[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];28 -> 143[label="",style="solid", color="burlywood", weight=9];
143 -> 34[label="",style="solid", color="burlywood", weight=3];
144[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];28 -> 144[label="",style="solid", color="burlywood", weight=9];
144 -> 35[label="",style="solid", color="burlywood", weight=3];
29[label="toEnum4 (yw3 == Pos Zero) yw3",fontsize=16,color="black",shape="box"];29 -> 36[label="",style="solid", color="black", weight=3];
30[label="toEnum2 (yw3 == Pos Zero) yw3",fontsize=16,color="black",shape="box"];30 -> 37[label="",style="solid", color="black", weight=3];
31[label="toEnum10 (primEqInt yw3 (Pos Zero)) yw3",fontsize=16,color="burlywood",shape="box"];145[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];31 -> 145[label="",style="solid", color="burlywood", weight=9];
145 -> 38[label="",style="solid", color="burlywood", weight=3];
146[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];31 -> 146[label="",style="solid", color="burlywood", weight=9];
146 -> 39[label="",style="solid", color="burlywood", weight=3];
32[label="fromInt yw3 :% fromInt (Pos (Succ Zero))\n  Integral a",fontsize=16,color="green",shape="box"];32 -> 40[label="",style="dashed", color="green", weight=3];
32 -> 41[label="",style="dashed", color="green", weight=3];
33[label="Char yw30",fontsize=16,color="green",shape="box"];34[label="primIntToChar (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];34 -> 42[label="",style="solid", color="black", weight=3];
35[label="primIntToChar (Neg Zero)",fontsize=16,color="black",shape="box"];35 -> 43[label="",style="solid", color="black", weight=3];
36[label="toEnum4 (primEqInt yw3 (Pos Zero)) yw3",fontsize=16,color="burlywood",shape="box"];147[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];36 -> 147[label="",style="solid", color="burlywood", weight=9];
147 -> 44[label="",style="solid", color="burlywood", weight=3];
148[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];36 -> 148[label="",style="solid", color="burlywood", weight=9];
148 -> 45[label="",style="solid", color="burlywood", weight=3];
37[label="toEnum2 (primEqInt yw3 (Pos Zero)) yw3",fontsize=16,color="burlywood",shape="box"];149[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];37 -> 149[label="",style="solid", color="burlywood", weight=9];
149 -> 46[label="",style="solid", color="burlywood", weight=3];
150[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];37 -> 150[label="",style="solid", color="burlywood", weight=9];
150 -> 47[label="",style="solid", color="burlywood", weight=3];
38[label="toEnum10 (primEqInt (Pos yw30) (Pos Zero)) (Pos yw30)",fontsize=16,color="burlywood",shape="box"];151[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];38 -> 151[label="",style="solid", color="burlywood", weight=9];
151 -> 48[label="",style="solid", color="burlywood", weight=3];
152[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];38 -> 152[label="",style="solid", color="burlywood", weight=9];
152 -> 49[label="",style="solid", color="burlywood", weight=3];
39[label="toEnum10 (primEqInt (Neg yw30) (Pos Zero)) (Neg yw30)",fontsize=16,color="burlywood",shape="box"];153[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];39 -> 153[label="",style="solid", color="burlywood", weight=9];
153 -> 50[label="",style="solid", color="burlywood", weight=3];
154[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];39 -> 154[label="",style="solid", color="burlywood", weight=9];
154 -> 51[label="",style="solid", color="burlywood", weight=3];
40[label="fromInt yw3\n  Integral a",fontsize=16,color="blue",shape="box"];155[label="fromInt :: Int -> Integer",fontsize=10,color="white",style="solid",shape="box"];40 -> 155[label="",style="solid", color="blue", weight=9];
155 -> 52[label="",style="solid", color="blue", weight=3];
156[label="fromInt :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];40 -> 156[label="",style="solid", color="blue", weight=9];
156 -> 53[label="",style="solid", color="blue", weight=3];
41[label="fromInt (Pos (Succ Zero))\n  Integral a",fontsize=16,color="blue",shape="box"];157[label="fromInt :: -> Int Integer",fontsize=10,color="white",style="solid",shape="box"];41 -> 157[label="",style="solid", color="blue", weight=9];
157 -> 54[label="",style="solid", color="blue", weight=3];
158[label="fromInt :: -> Int Int",fontsize=10,color="white",style="solid",shape="box"];41 -> 158[label="",style="solid", color="blue", weight=9];
158 -> 55[label="",style="solid", color="blue", weight=3];
42[label="error []",fontsize=16,color="red",shape="box"];43[label="Char Zero",fontsize=16,color="green",shape="box"];44[label="toEnum4 (primEqInt (Pos yw30) (Pos Zero)) (Pos yw30)",fontsize=16,color="burlywood",shape="box"];159[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];44 -> 159[label="",style="solid", color="burlywood", weight=9];
159 -> 56[label="",style="solid", color="burlywood", weight=3];
160[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];44 -> 160[label="",style="solid", color="burlywood", weight=9];
160 -> 57[label="",style="solid", color="burlywood", weight=3];
45[label="toEnum4 (primEqInt (Neg yw30) (Pos Zero)) (Neg yw30)",fontsize=16,color="burlywood",shape="box"];161[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];45 -> 161[label="",style="solid", color="burlywood", weight=9];
161 -> 58[label="",style="solid", color="burlywood", weight=3];
162[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];45 -> 162[label="",style="solid", color="burlywood", weight=9];
162 -> 59[label="",style="solid", color="burlywood", weight=3];
46[label="toEnum2 (primEqInt (Pos yw30) (Pos Zero)) (Pos yw30)",fontsize=16,color="burlywood",shape="box"];163[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];46 -> 163[label="",style="solid", color="burlywood", weight=9];
163 -> 60[label="",style="solid", color="burlywood", weight=3];
164[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];46 -> 164[label="",style="solid", color="burlywood", weight=9];
164 -> 61[label="",style="solid", color="burlywood", weight=3];
47[label="toEnum2 (primEqInt (Neg yw30) (Pos Zero)) (Neg yw30)",fontsize=16,color="burlywood",shape="box"];165[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];47 -> 165[label="",style="solid", color="burlywood", weight=9];
165 -> 62[label="",style="solid", color="burlywood", weight=3];
166[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];47 -> 166[label="",style="solid", color="burlywood", weight=9];
166 -> 63[label="",style="solid", color="burlywood", weight=3];
48[label="toEnum10 (primEqInt (Pos (Succ yw300)) (Pos Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];48 -> 64[label="",style="solid", color="black", weight=3];
49[label="toEnum10 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];49 -> 65[label="",style="solid", color="black", weight=3];
50[label="toEnum10 (primEqInt (Neg (Succ yw300)) (Pos Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];50 -> 66[label="",style="solid", color="black", weight=3];
51[label="toEnum10 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];51 -> 67[label="",style="solid", color="black", weight=3];
52[label="fromInt yw3",fontsize=16,color="black",shape="triangle"];52 -> 68[label="",style="solid", color="black", weight=3];
53[label="fromInt yw3",fontsize=16,color="black",shape="triangle"];53 -> 69[label="",style="solid", color="black", weight=3];
54 -> 52[label="",style="dashed", color="red", weight=0];
54[label="fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];54 -> 70[label="",style="dashed", color="magenta", weight=3];
55 -> 53[label="",style="dashed", color="red", weight=0];
55[label="fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];55 -> 71[label="",style="dashed", color="magenta", weight=3];
56[label="toEnum4 (primEqInt (Pos (Succ yw300)) (Pos Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];56 -> 72[label="",style="solid", color="black", weight=3];
57[label="toEnum4 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];57 -> 73[label="",style="solid", color="black", weight=3];
58[label="toEnum4 (primEqInt (Neg (Succ yw300)) (Pos Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];58 -> 74[label="",style="solid", color="black", weight=3];
59[label="toEnum4 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];59 -> 75[label="",style="solid", color="black", weight=3];
60[label="toEnum2 (primEqInt (Pos (Succ yw300)) (Pos Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];60 -> 76[label="",style="solid", color="black", weight=3];
61[label="toEnum2 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];61 -> 77[label="",style="solid", color="black", weight=3];
62[label="toEnum2 (primEqInt (Neg (Succ yw300)) (Pos Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];62 -> 78[label="",style="solid", color="black", weight=3];
63[label="toEnum2 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];63 -> 79[label="",style="solid", color="black", weight=3];
64[label="toEnum10 False (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];64 -> 80[label="",style="solid", color="black", weight=3];
65[label="toEnum10 True (Pos Zero)",fontsize=16,color="black",shape="box"];65 -> 81[label="",style="solid", color="black", weight=3];
66[label="toEnum10 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];66 -> 82[label="",style="solid", color="black", weight=3];
67[label="toEnum10 True (Neg Zero)",fontsize=16,color="black",shape="box"];67 -> 83[label="",style="solid", color="black", weight=3];
68[label="Integer yw3",fontsize=16,color="green",shape="box"];69[label="yw3",fontsize=16,color="green",shape="box"];70[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];71[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];72[label="toEnum4 False (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];72 -> 84[label="",style="solid", color="black", weight=3];
73[label="toEnum4 True (Pos Zero)",fontsize=16,color="black",shape="box"];73 -> 85[label="",style="solid", color="black", weight=3];
74[label="toEnum4 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];74 -> 86[label="",style="solid", color="black", weight=3];
75[label="toEnum4 True (Neg Zero)",fontsize=16,color="black",shape="box"];75 -> 87[label="",style="solid", color="black", weight=3];
76[label="toEnum2 False (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];76 -> 88[label="",style="solid", color="black", weight=3];
77[label="toEnum2 True (Pos Zero)",fontsize=16,color="black",shape="box"];77 -> 89[label="",style="solid", color="black", weight=3];
78[label="toEnum2 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];78 -> 90[label="",style="solid", color="black", weight=3];
79[label="toEnum2 True (Neg Zero)",fontsize=16,color="black",shape="box"];79 -> 91[label="",style="solid", color="black", weight=3];
80[label="toEnum9 (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];80 -> 92[label="",style="solid", color="black", weight=3];
81[label="LT",fontsize=16,color="green",shape="box"];82[label="toEnum9 (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];82 -> 93[label="",style="solid", color="black", weight=3];
83[label="LT",fontsize=16,color="green",shape="box"];84[label="error []",fontsize=16,color="red",shape="box"];85[label="()",fontsize=16,color="green",shape="box"];86[label="error []",fontsize=16,color="red",shape="box"];87[label="()",fontsize=16,color="green",shape="box"];88[label="toEnum1 (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];88 -> 94[label="",style="solid", color="black", weight=3];
89[label="False",fontsize=16,color="green",shape="box"];90[label="toEnum1 (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];90 -> 95[label="",style="solid", color="black", weight=3];
91[label="False",fontsize=16,color="green",shape="box"];92[label="toEnum8 (Pos (Succ yw300) == Pos (Succ Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];92 -> 96[label="",style="solid", color="black", weight=3];
93[label="toEnum8 (Neg (Succ yw300) == Pos (Succ Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];93 -> 97[label="",style="solid", color="black", weight=3];
94[label="toEnum0 (Pos (Succ yw300) == Pos (Succ Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];94 -> 98[label="",style="solid", color="black", weight=3];
95[label="toEnum0 (Neg (Succ yw300) == Pos (Succ Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];95 -> 99[label="",style="solid", color="black", weight=3];
96[label="toEnum8 (primEqInt (Pos (Succ yw300)) (Pos (Succ Zero))) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];96 -> 100[label="",style="solid", color="black", weight=3];
97[label="toEnum8 (primEqInt (Neg (Succ yw300)) (Pos (Succ Zero))) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];97 -> 101[label="",style="solid", color="black", weight=3];
98[label="toEnum0 (primEqInt (Pos (Succ yw300)) (Pos (Succ Zero))) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];98 -> 102[label="",style="solid", color="black", weight=3];
99[label="toEnum0 (primEqInt (Neg (Succ yw300)) (Pos (Succ Zero))) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];99 -> 103[label="",style="solid", color="black", weight=3];
100[label="toEnum8 (primEqNat yw300 Zero) (Pos (Succ yw300))",fontsize=16,color="burlywood",shape="box"];169[label="yw300/Succ yw3000",fontsize=10,color="white",style="solid",shape="box"];100 -> 169[label="",style="solid", color="burlywood", weight=9];
169 -> 104[label="",style="solid", color="burlywood", weight=3];
170[label="yw300/Zero",fontsize=10,color="white",style="solid",shape="box"];100 -> 170[label="",style="solid", color="burlywood", weight=9];
170 -> 105[label="",style="solid", color="burlywood", weight=3];
101[label="toEnum8 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];101 -> 106[label="",style="solid", color="black", weight=3];
102[label="toEnum0 (primEqNat yw300 Zero) (Pos (Succ yw300))",fontsize=16,color="burlywood",shape="box"];171[label="yw300/Succ yw3000",fontsize=10,color="white",style="solid",shape="box"];102 -> 171[label="",style="solid", color="burlywood", weight=9];
171 -> 107[label="",style="solid", color="burlywood", weight=3];
172[label="yw300/Zero",fontsize=10,color="white",style="solid",shape="box"];102 -> 172[label="",style="solid", color="burlywood", weight=9];
172 -> 108[label="",style="solid", color="burlywood", weight=3];
103[label="toEnum0 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];103 -> 109[label="",style="solid", color="black", weight=3];
104[label="toEnum8 (primEqNat (Succ yw3000) Zero) (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];104 -> 110[label="",style="solid", color="black", weight=3];
105[label="toEnum8 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];105 -> 111[label="",style="solid", color="black", weight=3];
106[label="toEnum7 (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];106 -> 112[label="",style="solid", color="black", weight=3];
107[label="toEnum0 (primEqNat (Succ yw3000) Zero) (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];107 -> 113[label="",style="solid", color="black", weight=3];
108[label="toEnum0 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];108 -> 114[label="",style="solid", color="black", weight=3];
109[label="error []",fontsize=16,color="red",shape="box"];110[label="toEnum8 False (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];110 -> 115[label="",style="solid", color="black", weight=3];
111[label="toEnum8 True (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];111 -> 116[label="",style="solid", color="black", weight=3];
112[label="toEnum6 (Neg (Succ yw300) == Pos (Succ (Succ Zero))) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];112 -> 117[label="",style="solid", color="black", weight=3];
113[label="toEnum0 False (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];113 -> 118[label="",style="solid", color="black", weight=3];
114[label="toEnum0 True (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];114 -> 119[label="",style="solid", color="black", weight=3];
115[label="toEnum7 (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];115 -> 120[label="",style="solid", color="black", weight=3];
116[label="EQ",fontsize=16,color="green",shape="box"];117[label="toEnum6 (primEqInt (Neg (Succ yw300)) (Pos (Succ (Succ Zero)))) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];117 -> 121[label="",style="solid", color="black", weight=3];
118[label="error []",fontsize=16,color="red",shape="box"];119[label="True",fontsize=16,color="green",shape="box"];120[label="toEnum6 (Pos (Succ (Succ yw3000)) == Pos (Succ (Succ Zero))) (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];120 -> 122[label="",style="solid", color="black", weight=3];
121[label="toEnum6 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];121 -> 123[label="",style="solid", color="black", weight=3];
122[label="toEnum6 (primEqInt (Pos (Succ (Succ yw3000))) (Pos (Succ (Succ Zero)))) (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];122 -> 124[label="",style="solid", color="black", weight=3];
123[label="error []",fontsize=16,color="red",shape="box"];124[label="toEnum6 (primEqNat (Succ yw3000) (Succ Zero)) (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];124 -> 125[label="",style="solid", color="black", weight=3];
125[label="toEnum6 (primEqNat yw3000 Zero) (Pos (Succ (Succ yw3000)))",fontsize=16,color="burlywood",shape="box"];173[label="yw3000/Succ yw30000",fontsize=10,color="white",style="solid",shape="box"];125 -> 173[label="",style="solid", color="burlywood", weight=9];
173 -> 126[label="",style="solid", color="burlywood", weight=3];
174[label="yw3000/Zero",fontsize=10,color="white",style="solid",shape="box"];125 -> 174[label="",style="solid", color="burlywood", weight=9];
174 -> 127[label="",style="solid", color="burlywood", weight=3];
126[label="toEnum6 (primEqNat (Succ yw30000) Zero) (Pos (Succ (Succ (Succ yw30000))))",fontsize=16,color="black",shape="box"];126 -> 128[label="",style="solid", color="black", weight=3];
127[label="toEnum6 (primEqNat Zero Zero) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];127 -> 129[label="",style="solid", color="black", weight=3];
128[label="toEnum6 False (Pos (Succ (Succ (Succ yw30000))))",fontsize=16,color="black",shape="box"];128 -> 130[label="",style="solid", color="black", weight=3];
129[label="toEnum6 True (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];129 -> 131[label="",style="solid", color="black", weight=3];
130[label="error []",fontsize=16,color="red",shape="box"];131[label="GT",fontsize=16,color="green",shape="box"];}

toEnum	xy	= toEnum11 xy
toEnum	xu	= toEnum9 xu
toEnum	wz	= toEnum7 wz