7.84/3.54 YES 9.80/4.07 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.80/4.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.80/4.07 9.80/4.07 9.80/4.07 H-Termination with start terms of the given HASKELL could be proven: 9.80/4.07 9.80/4.07 (0) HASKELL 9.80/4.07 (1) BR [EQUIVALENT, 0 ms] 9.80/4.07 (2) HASKELL 9.80/4.07 (3) COR [EQUIVALENT, 0 ms] 9.80/4.07 (4) HASKELL 9.80/4.07 (5) NumRed [SOUND, 0 ms] 9.80/4.07 (6) HASKELL 9.80/4.07 (7) Narrow [EQUIVALENT, 0 ms] 9.80/4.07 (8) YES 9.80/4.07 9.80/4.07 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (0) 9.80/4.07 Obligation: 9.80/4.07 mainModule Main 9.80/4.07 module Main where { 9.80/4.07 import qualified Prelude; 9.80/4.07 } 9.80/4.07 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (1) BR (EQUIVALENT) 9.80/4.07 Replaced joker patterns by fresh variables and removed binding patterns. 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (2) 9.80/4.07 Obligation: 9.80/4.07 mainModule Main 9.80/4.07 module Main where { 9.80/4.07 import qualified Prelude; 9.80/4.07 } 9.80/4.07 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (3) COR (EQUIVALENT) 9.80/4.07 Cond Reductions: 9.80/4.07 The following Function with conditions 9.80/4.07 "toEnum 0 = False; 9.80/4.07 toEnum 1 = True; 9.80/4.07 " 9.80/4.07 is transformed to 9.80/4.07 "toEnum wu = toEnum3 wu; 9.80/4.07 toEnum vz = toEnum1 vz; 9.80/4.07 " 9.80/4.07 "toEnum0 True vz = True; 9.80/4.07 " 9.80/4.07 "toEnum1 vz = toEnum0 (vz == 1) vz; 9.80/4.07 " 9.80/4.07 "toEnum2 True wu = False; 9.80/4.07 toEnum2 wv ww = toEnum1 ww; 9.80/4.07 " 9.80/4.07 "toEnum3 wu = toEnum2 (wu == 0) wu; 9.80/4.07 toEnum3 wx = toEnum1 wx; 9.80/4.07 " 9.80/4.07 The following Function with conditions 9.80/4.07 "toEnum 0 = LT; 9.80/4.07 toEnum 1 = EQ; 9.80/4.07 toEnum 2 = GT; 9.80/4.07 " 9.80/4.07 is transformed to 9.80/4.07 "toEnum xx = toEnum9 xx; 9.80/4.07 toEnum wz = toEnum7 wz; 9.80/4.07 toEnum wy = toEnum5 wy; 9.80/4.07 " 9.80/4.07 "toEnum4 True wy = GT; 9.80/4.07 " 9.80/4.07 "toEnum5 wy = toEnum4 (wy == 2) wy; 9.80/4.07 " 9.80/4.07 "toEnum6 True wz = EQ; 9.80/4.07 toEnum6 xu xv = toEnum5 xv; 9.80/4.07 " 9.80/4.07 "toEnum7 wz = toEnum6 (wz == 1) wz; 9.80/4.07 toEnum7 xw = toEnum5 xw; 9.80/4.07 " 9.80/4.07 "toEnum8 True xx = LT; 9.80/4.07 toEnum8 xy xz = toEnum7 xz; 9.80/4.07 " 9.80/4.07 "toEnum9 xx = toEnum8 (xx == 0) xx; 9.80/4.07 toEnum9 yu = toEnum7 yu; 9.80/4.07 " 9.80/4.07 The following Function with conditions 9.80/4.07 "toEnum 0 = (); 9.80/4.07 " 9.80/4.07 is transformed to 9.80/4.07 "toEnum yv = toEnum11 yv; 9.80/4.07 " 9.80/4.07 "toEnum10 True yv = (); 9.80/4.07 " 9.80/4.07 "toEnum11 yv = toEnum10 (yv == 0) yv; 9.80/4.07 " 9.80/4.07 The following Function with conditions 9.80/4.07 "undefined |Falseundefined; 9.80/4.07 " 9.80/4.07 is transformed to 9.80/4.07 "undefined = undefined1; 9.80/4.07 " 9.80/4.07 "undefined0 True = undefined; 9.80/4.07 " 9.80/4.07 "undefined1 = undefined0 False; 9.80/4.07 " 9.80/4.07 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (4) 9.80/4.07 Obligation: 9.80/4.07 mainModule Main 9.80/4.07 module Main where { 9.80/4.07 import qualified Prelude; 9.80/4.07 } 9.80/4.07 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (5) NumRed (SOUND) 9.80/4.07 Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero. 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (6) 9.80/4.07 Obligation: 9.80/4.07 mainModule Main 9.80/4.07 module Main where { 9.80/4.07 import qualified Prelude; 9.80/4.07 } 9.80/4.07 9.80/4.07 ---------------------------------------- 9.80/4.07 9.80/4.07 (7) Narrow (EQUIVALENT) 9.80/4.07 Haskell To QDPs 9.80/4.07 9.80/4.07 digraph dp_graph { 9.80/4.07 node [outthreshold=100, inthreshold=100];1[label="toEnum",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.80/4.07 3[label="toEnum yw3",fontsize=16,color="blue",shape="box"];132[label="toEnum :: Int -> Ratio a",fontsize=10,color="white",style="solid",shape="box"];3 -> 132[label="",style="solid", color="blue", weight=9]; 9.80/4.07 132 -> 4[label="",style="solid", color="blue", weight=3]; 9.80/4.07 133[label="toEnum :: Int -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3 -> 133[label="",style="solid", color="blue", weight=9]; 9.80/4.07 133 -> 5[label="",style="solid", color="blue", weight=3]; 9.80/4.07 134[label="toEnum :: Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];3 -> 134[label="",style="solid", color="blue", weight=9]; 9.80/4.07 134 -> 6[label="",style="solid", color="blue", weight=3]; 9.80/4.07 135[label="toEnum :: Int -> ()",fontsize=10,color="white",style="solid",shape="box"];3 -> 135[label="",style="solid", color="blue", weight=9]; 9.80/4.07 135 -> 7[label="",style="solid", color="blue", weight=3]; 9.80/4.07 136[label="toEnum :: Int -> Double",fontsize=10,color="white",style="solid",shape="box"];3 -> 136[label="",style="solid", color="blue", weight=9]; 9.80/4.07 136 -> 8[label="",style="solid", color="blue", weight=3]; 9.80/4.07 137[label="toEnum :: Int -> Char",fontsize=10,color="white",style="solid",shape="box"];3 -> 137[label="",style="solid", color="blue", weight=9]; 9.80/4.07 137 -> 9[label="",style="solid", color="blue", weight=3]; 9.80/4.07 138[label="toEnum :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];3 -> 138[label="",style="solid", color="blue", weight=9]; 9.80/4.07 138 -> 10[label="",style="solid", color="blue", weight=3]; 9.80/4.07 139[label="toEnum :: Int -> Integer",fontsize=10,color="white",style="solid",shape="box"];3 -> 139[label="",style="solid", color="blue", weight=9]; 9.80/4.07 139 -> 11[label="",style="solid", color="blue", weight=3]; 9.80/4.07 140[label="toEnum :: Int -> Float",fontsize=10,color="white",style="solid",shape="box"];3 -> 140[label="",style="solid", color="blue", weight=9]; 9.80/4.07 140 -> 12[label="",style="solid", color="blue", weight=3]; 9.80/4.07 4[label="toEnum yw3",fontsize=16,color="black",shape="box"];4 -> 13[label="",style="solid", color="black", weight=3]; 9.80/4.07 5[label="toEnum yw3",fontsize=16,color="black",shape="box"];5 -> 14[label="",style="solid", color="black", weight=3]; 9.80/4.07 6[label="toEnum yw3",fontsize=16,color="black",shape="box"];6 -> 15[label="",style="solid", color="black", weight=3]; 9.80/4.07 7[label="toEnum yw3",fontsize=16,color="black",shape="box"];7 -> 16[label="",style="solid", color="black", weight=3]; 9.80/4.07 8[label="toEnum yw3",fontsize=16,color="black",shape="box"];8 -> 17[label="",style="solid", color="black", weight=3]; 9.80/4.07 9[label="toEnum yw3",fontsize=16,color="black",shape="box"];9 -> 18[label="",style="solid", color="black", weight=3]; 9.80/4.07 10[label="toEnum yw3",fontsize=16,color="black",shape="box"];10 -> 19[label="",style="solid", color="black", weight=3]; 9.80/4.07 11[label="toEnum yw3",fontsize=16,color="black",shape="box"];11 -> 20[label="",style="solid", color="black", weight=3]; 9.80/4.07 12[label="toEnum yw3",fontsize=16,color="black",shape="box"];12 -> 21[label="",style="solid", color="black", weight=3]; 9.80/4.07 13[label="fromInt yw3",fontsize=16,color="black",shape="box"];13 -> 22[label="",style="solid", color="black", weight=3]; 9.80/4.07 14[label="toEnum9 yw3",fontsize=16,color="black",shape="box"];14 -> 23[label="",style="solid", color="black", weight=3]; 9.80/4.07 15[label="toEnum3 yw3",fontsize=16,color="black",shape="box"];15 -> 24[label="",style="solid", color="black", weight=3]; 9.80/4.07 16[label="toEnum11 yw3",fontsize=16,color="black",shape="box"];16 -> 25[label="",style="solid", color="black", weight=3]; 9.80/4.07 17[label="primIntToDouble yw3",fontsize=16,color="black",shape="box"];17 -> 26[label="",style="solid", color="black", weight=3]; 9.80/4.07 18[label="primIntToChar yw3",fontsize=16,color="burlywood",shape="box"];141[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];18 -> 141[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 141 -> 27[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 142[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];18 -> 142[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 142 -> 28[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 19[label="id yw3",fontsize=16,color="black",shape="box"];19 -> 29[label="",style="solid", color="black", weight=3]; 9.80/4.07 20[label="Integer yw3",fontsize=16,color="green",shape="box"];21[label="primIntToFloat yw3",fontsize=16,color="black",shape="box"];21 -> 30[label="",style="solid", color="black", weight=3]; 9.80/4.07 22[label="intToRatio yw3",fontsize=16,color="black",shape="box"];22 -> 31[label="",style="solid", color="black", weight=3]; 9.80/4.07 23[label="toEnum8 (yw3 == Pos Zero) yw3",fontsize=16,color="black",shape="box"];23 -> 32[label="",style="solid", color="black", weight=3]; 9.80/4.07 24[label="toEnum2 (yw3 == Pos Zero) yw3",fontsize=16,color="black",shape="box"];24 -> 33[label="",style="solid", color="black", weight=3]; 9.80/4.07 25[label="toEnum10 (yw3 == Pos Zero) yw3",fontsize=16,color="black",shape="box"];25 -> 34[label="",style="solid", color="black", weight=3]; 9.80/4.07 26[label="Double yw3 (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];27[label="primIntToChar (Pos yw30)",fontsize=16,color="black",shape="box"];27 -> 35[label="",style="solid", color="black", weight=3]; 9.80/4.07 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]; 9.80/4.07 143 -> 36[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 144[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];28 -> 144[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 144 -> 37[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 29[label="yw3",fontsize=16,color="green",shape="box"];30[label="Float yw3 (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];31[label="fromInt yw3 :% fromInt (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];31 -> 38[label="",style="dashed", color="green", weight=3]; 9.80/4.07 31 -> 39[label="",style="dashed", color="green", weight=3]; 9.80/4.07 32[label="toEnum8 (primEqInt yw3 (Pos Zero)) yw3",fontsize=16,color="burlywood",shape="box"];145[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];32 -> 145[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 145 -> 40[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 146[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];32 -> 146[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 146 -> 41[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 33[label="toEnum2 (primEqInt yw3 (Pos Zero)) yw3",fontsize=16,color="burlywood",shape="box"];147[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];33 -> 147[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 147 -> 42[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 148[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];33 -> 148[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 148 -> 43[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 34[label="toEnum10 (primEqInt yw3 (Pos Zero)) yw3",fontsize=16,color="burlywood",shape="box"];149[label="yw3/Pos yw30",fontsize=10,color="white",style="solid",shape="box"];34 -> 149[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 149 -> 44[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 150[label="yw3/Neg yw30",fontsize=10,color="white",style="solid",shape="box"];34 -> 150[label="",style="solid", color="burlywood", weight=9]; 9.80/4.07 150 -> 45[label="",style="solid", color="burlywood", weight=3]; 9.80/4.07 35[label="Char yw30",fontsize=16,color="green",shape="box"];36[label="primIntToChar (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];36 -> 46[label="",style="solid", color="black", weight=3]; 9.80/4.07 37[label="primIntToChar (Neg Zero)",fontsize=16,color="black",shape="box"];37 -> 47[label="",style="solid", color="black", weight=3]; 9.80/4.07 38[label="fromInt yw3",fontsize=16,color="blue",shape="box"];151[label="fromInt :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];38 -> 151[label="",style="solid", color="blue", weight=9]; 9.80/4.07 151 -> 48[label="",style="solid", color="blue", weight=3]; 9.80/4.07 152[label="fromInt :: Int -> Integer",fontsize=10,color="white",style="solid",shape="box"];38 -> 152[label="",style="solid", color="blue", weight=9]; 9.80/4.07 152 -> 49[label="",style="solid", color="blue", weight=3]; 9.80/4.07 39[label="fromInt (Pos (Succ Zero))",fontsize=16,color="blue",shape="box"];153[label="fromInt :: -> Int Int",fontsize=10,color="white",style="solid",shape="box"];39 -> 153[label="",style="solid", color="blue", weight=9]; 9.80/4.07 153 -> 50[label="",style="solid", color="blue", weight=3]; 9.80/4.07 154[label="fromInt :: -> Int Integer",fontsize=10,color="white",style="solid",shape="box"];39 -> 154[label="",style="solid", color="blue", weight=9]; 9.80/4.08 154 -> 51[label="",style="solid", color="blue", weight=3]; 9.80/4.08 40[label="toEnum8 (primEqInt (Pos yw30) (Pos Zero)) (Pos yw30)",fontsize=16,color="burlywood",shape="box"];155[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];40 -> 155[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 155 -> 52[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 156[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];40 -> 156[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 156 -> 53[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 41[label="toEnum8 (primEqInt (Neg yw30) (Pos Zero)) (Neg yw30)",fontsize=16,color="burlywood",shape="box"];157[label="yw30/Succ yw300",fontsize=10,color="white",style="solid",shape="box"];41 -> 157[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 157 -> 54[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 158[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];41 -> 158[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 158 -> 55[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 42[label="toEnum2 (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"];42 -> 159[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 159 -> 56[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 160[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];42 -> 160[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 160 -> 57[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 43[label="toEnum2 (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"];43 -> 161[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 161 -> 58[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 162[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];43 -> 162[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 162 -> 59[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 44[label="toEnum10 (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"];44 -> 163[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 163 -> 60[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 164[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];44 -> 164[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 164 -> 61[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 45[label="toEnum10 (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"];45 -> 165[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 165 -> 62[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 166[label="yw30/Zero",fontsize=10,color="white",style="solid",shape="box"];45 -> 166[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 166 -> 63[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 46[label="error []",fontsize=16,color="red",shape="box"];47[label="Char Zero",fontsize=16,color="green",shape="box"];48[label="fromInt yw3",fontsize=16,color="black",shape="triangle"];48 -> 64[label="",style="solid", color="black", weight=3]; 9.80/4.08 49[label="fromInt yw3",fontsize=16,color="black",shape="triangle"];49 -> 65[label="",style="solid", color="black", weight=3]; 9.80/4.08 50 -> 48[label="",style="dashed", color="red", weight=0]; 9.80/4.08 50[label="fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];50 -> 66[label="",style="dashed", color="magenta", weight=3]; 9.80/4.08 51 -> 49[label="",style="dashed", color="red", weight=0]; 9.80/4.08 51[label="fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];51 -> 67[label="",style="dashed", color="magenta", weight=3]; 9.80/4.08 52[label="toEnum8 (primEqInt (Pos (Succ yw300)) (Pos Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];52 -> 68[label="",style="solid", color="black", weight=3]; 9.80/4.08 53[label="toEnum8 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];53 -> 69[label="",style="solid", color="black", weight=3]; 9.80/4.08 54[label="toEnum8 (primEqInt (Neg (Succ yw300)) (Pos Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];54 -> 70[label="",style="solid", color="black", weight=3]; 9.80/4.08 55[label="toEnum8 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];55 -> 71[label="",style="solid", color="black", weight=3]; 9.80/4.08 56[label="toEnum2 (primEqInt (Pos (Succ yw300)) (Pos Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];56 -> 72[label="",style="solid", color="black", weight=3]; 9.80/4.08 57[label="toEnum2 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];57 -> 73[label="",style="solid", color="black", weight=3]; 9.80/4.08 58[label="toEnum2 (primEqInt (Neg (Succ yw300)) (Pos Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];58 -> 74[label="",style="solid", color="black", weight=3]; 9.80/4.08 59[label="toEnum2 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];59 -> 75[label="",style="solid", color="black", weight=3]; 9.80/4.08 60[label="toEnum10 (primEqInt (Pos (Succ yw300)) (Pos Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];60 -> 76[label="",style="solid", color="black", weight=3]; 9.80/4.08 61[label="toEnum10 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];61 -> 77[label="",style="solid", color="black", weight=3]; 9.80/4.08 62[label="toEnum10 (primEqInt (Neg (Succ yw300)) (Pos Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];62 -> 78[label="",style="solid", color="black", weight=3]; 9.80/4.08 63[label="toEnum10 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];63 -> 79[label="",style="solid", color="black", weight=3]; 9.80/4.08 64[label="yw3",fontsize=16,color="green",shape="box"];65[label="Integer yw3",fontsize=16,color="green",shape="box"];66[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];67[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];68[label="toEnum8 False (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];68 -> 80[label="",style="solid", color="black", weight=3]; 9.80/4.08 69[label="toEnum8 True (Pos Zero)",fontsize=16,color="black",shape="box"];69 -> 81[label="",style="solid", color="black", weight=3]; 9.80/4.08 70[label="toEnum8 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];70 -> 82[label="",style="solid", color="black", weight=3]; 9.80/4.08 71[label="toEnum8 True (Neg Zero)",fontsize=16,color="black",shape="box"];71 -> 83[label="",style="solid", color="black", weight=3]; 9.80/4.08 72[label="toEnum2 False (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];72 -> 84[label="",style="solid", color="black", weight=3]; 9.80/4.08 73[label="toEnum2 True (Pos Zero)",fontsize=16,color="black",shape="box"];73 -> 85[label="",style="solid", color="black", weight=3]; 9.80/4.08 74[label="toEnum2 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];74 -> 86[label="",style="solid", color="black", weight=3]; 9.80/4.08 75[label="toEnum2 True (Neg Zero)",fontsize=16,color="black",shape="box"];75 -> 87[label="",style="solid", color="black", weight=3]; 9.80/4.08 76[label="toEnum10 False (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];76 -> 88[label="",style="solid", color="black", weight=3]; 9.80/4.08 77[label="toEnum10 True (Pos Zero)",fontsize=16,color="black",shape="box"];77 -> 89[label="",style="solid", color="black", weight=3]; 9.80/4.08 78[label="toEnum10 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];78 -> 90[label="",style="solid", color="black", weight=3]; 9.80/4.08 79[label="toEnum10 True (Neg Zero)",fontsize=16,color="black",shape="box"];79 -> 91[label="",style="solid", color="black", weight=3]; 9.80/4.08 80[label="toEnum7 (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];80 -> 92[label="",style="solid", color="black", weight=3]; 9.80/4.08 81[label="LT",fontsize=16,color="green",shape="box"];82[label="toEnum7 (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];82 -> 93[label="",style="solid", color="black", weight=3]; 9.80/4.08 83[label="LT",fontsize=16,color="green",shape="box"];84[label="toEnum1 (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];84 -> 94[label="",style="solid", color="black", weight=3]; 9.80/4.08 85[label="False",fontsize=16,color="green",shape="box"];86[label="toEnum1 (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];86 -> 95[label="",style="solid", color="black", weight=3]; 9.80/4.08 87[label="False",fontsize=16,color="green",shape="box"];88[label="error []",fontsize=16,color="red",shape="box"];89[label="()",fontsize=16,color="green",shape="box"];90[label="error []",fontsize=16,color="red",shape="box"];91[label="()",fontsize=16,color="green",shape="box"];92[label="toEnum6 (Pos (Succ yw300) == Pos (Succ Zero)) (Pos (Succ yw300))",fontsize=16,color="black",shape="box"];92 -> 96[label="",style="solid", color="black", weight=3]; 9.80/4.08 93[label="toEnum6 (Neg (Succ yw300) == Pos (Succ Zero)) (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];93 -> 97[label="",style="solid", color="black", weight=3]; 9.80/4.08 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]; 9.80/4.08 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]; 9.80/4.08 96[label="toEnum6 (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]; 9.80/4.08 97[label="toEnum6 (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]; 9.80/4.08 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]; 9.80/4.08 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]; 9.80/4.08 100[label="toEnum6 (primEqNat yw300 Zero) (Pos (Succ yw300))",fontsize=16,color="burlywood",shape="box"];167[label="yw300/Succ yw3000",fontsize=10,color="white",style="solid",shape="box"];100 -> 167[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 167 -> 104[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 168[label="yw300/Zero",fontsize=10,color="white",style="solid",shape="box"];100 -> 168[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 168 -> 105[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 101[label="toEnum6 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];101 -> 106[label="",style="solid", color="black", weight=3]; 9.80/4.08 102[label="toEnum0 (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"];102 -> 169[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 169 -> 107[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 170[label="yw300/Zero",fontsize=10,color="white",style="solid",shape="box"];102 -> 170[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 170 -> 108[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 103[label="toEnum0 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];103 -> 109[label="",style="solid", color="black", weight=3]; 9.80/4.08 104[label="toEnum6 (primEqNat (Succ yw3000) Zero) (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];104 -> 110[label="",style="solid", color="black", weight=3]; 9.80/4.08 105[label="toEnum6 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];105 -> 111[label="",style="solid", color="black", weight=3]; 9.80/4.08 106[label="toEnum5 (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];106 -> 112[label="",style="solid", color="black", weight=3]; 9.80/4.08 107[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]; 9.80/4.08 108[label="toEnum0 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];108 -> 114[label="",style="solid", color="black", weight=3]; 9.80/4.08 109[label="error []",fontsize=16,color="red",shape="box"];110[label="toEnum6 False (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];110 -> 115[label="",style="solid", color="black", weight=3]; 9.80/4.08 111[label="toEnum6 True (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];111 -> 116[label="",style="solid", color="black", weight=3]; 9.80/4.08 112[label="toEnum4 (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]; 9.80/4.08 113[label="toEnum0 False (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];113 -> 118[label="",style="solid", color="black", weight=3]; 9.80/4.08 114[label="toEnum0 True (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];114 -> 119[label="",style="solid", color="black", weight=3]; 9.80/4.08 115[label="toEnum5 (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];115 -> 120[label="",style="solid", color="black", weight=3]; 9.80/4.08 116[label="EQ",fontsize=16,color="green",shape="box"];117[label="toEnum4 (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]; 9.80/4.08 118[label="error []",fontsize=16,color="red",shape="box"];119[label="True",fontsize=16,color="green",shape="box"];120[label="toEnum4 (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]; 9.80/4.08 121[label="toEnum4 False (Neg (Succ yw300))",fontsize=16,color="black",shape="box"];121 -> 123[label="",style="solid", color="black", weight=3]; 9.80/4.08 122[label="toEnum4 (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]; 9.80/4.08 123[label="error []",fontsize=16,color="red",shape="box"];124[label="toEnum4 (primEqNat (Succ yw3000) (Succ Zero)) (Pos (Succ (Succ yw3000)))",fontsize=16,color="black",shape="box"];124 -> 125[label="",style="solid", color="black", weight=3]; 9.80/4.08 125[label="toEnum4 (primEqNat yw3000 Zero) (Pos (Succ (Succ yw3000)))",fontsize=16,color="burlywood",shape="box"];171[label="yw3000/Succ yw30000",fontsize=10,color="white",style="solid",shape="box"];125 -> 171[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 171 -> 126[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 172[label="yw3000/Zero",fontsize=10,color="white",style="solid",shape="box"];125 -> 172[label="",style="solid", color="burlywood", weight=9]; 9.80/4.08 172 -> 127[label="",style="solid", color="burlywood", weight=3]; 9.80/4.08 126[label="toEnum4 (primEqNat (Succ yw30000) Zero) (Pos (Succ (Succ (Succ yw30000))))",fontsize=16,color="black",shape="box"];126 -> 128[label="",style="solid", color="black", weight=3]; 9.80/4.08 127[label="toEnum4 (primEqNat Zero Zero) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];127 -> 129[label="",style="solid", color="black", weight=3]; 9.80/4.08 128[label="toEnum4 False (Pos (Succ (Succ (Succ yw30000))))",fontsize=16,color="black",shape="box"];128 -> 130[label="",style="solid", color="black", weight=3]; 9.80/4.08 129[label="toEnum4 True (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];129 -> 131[label="",style="solid", color="black", weight=3]; 9.80/4.08 130[label="error []",fontsize=16,color="red",shape="box"];131[label="GT",fontsize=16,color="green",shape="box"];} 9.80/4.08 9.80/4.08 ---------------------------------------- 9.80/4.08 9.80/4.08 (8) 9.80/4.08 YES 10.08/4.15 EOF