8.06/3.59 YES 9.98/4.07 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.98/4.07 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.98/4.07 9.98/4.07 9.98/4.07 H-Termination with start terms of the given HASKELL could be proven: 9.98/4.07 9.98/4.07 (0) HASKELL 9.98/4.07 (1) BR [EQUIVALENT, 0 ms] 9.98/4.07 (2) HASKELL 9.98/4.07 (3) COR [EQUIVALENT, 0 ms] 9.98/4.07 (4) HASKELL 9.98/4.07 (5) NumRed [SOUND, 0 ms] 9.98/4.07 (6) HASKELL 9.98/4.07 (7) Narrow [EQUIVALENT, 78 ms] 9.98/4.07 (8) YES 9.98/4.07 9.98/4.07 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (0) 9.98/4.07 Obligation: 9.98/4.07 mainModule Main 9.98/4.07 module Main where { 9.98/4.07 import qualified Prelude; 9.98/4.07 } 9.98/4.07 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (1) BR (EQUIVALENT) 9.98/4.07 Replaced joker patterns by fresh variables and removed binding patterns. 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (2) 9.98/4.07 Obligation: 9.98/4.07 mainModule Main 9.98/4.07 module Main where { 9.98/4.07 import qualified Prelude; 9.98/4.07 } 9.98/4.07 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (3) COR (EQUIVALENT) 9.98/4.07 Cond Reductions: 9.98/4.07 The following Function with conditions 9.98/4.07 "toEnum 0 = False; 9.98/4.07 toEnum 1 = True; 9.98/4.07 " 9.98/4.07 is transformed to 9.98/4.07 "toEnum wu = toEnum3 wu; 9.98/4.07 toEnum vz = toEnum1 vz; 9.98/4.07 " 9.98/4.07 "toEnum0 True vz = True; 9.98/4.07 " 9.98/4.07 "toEnum1 vz = toEnum0 (vz == 1) vz; 9.98/4.07 " 9.98/4.07 "toEnum2 True wu = False; 9.98/4.07 toEnum2 wv ww = toEnum1 ww; 9.98/4.07 " 9.98/4.07 "toEnum3 wu = toEnum2 (wu == 0) wu; 9.98/4.07 toEnum3 wx = toEnum1 wx; 9.98/4.07 " 9.98/4.07 The following Function with conditions 9.98/4.07 "takeWhile p [] = []; 9.98/4.07 takeWhile p (x : xs)|p xx : takeWhile p xs|otherwise[]; 9.98/4.07 " 9.98/4.07 is transformed to 9.98/4.07 "takeWhile p [] = takeWhile3 p []; 9.98/4.07 takeWhile p (x : xs) = takeWhile2 p (x : xs); 9.98/4.07 " 9.98/4.07 "takeWhile0 p x xs True = []; 9.98/4.07 " 9.98/4.07 "takeWhile1 p x xs True = x : takeWhile p xs; 9.98/4.07 takeWhile1 p x xs False = takeWhile0 p x xs otherwise; 9.98/4.07 " 9.98/4.07 "takeWhile2 p (x : xs) = takeWhile1 p x xs (p x); 9.98/4.07 " 9.98/4.07 "takeWhile3 p [] = []; 9.98/4.07 takeWhile3 xu xv = takeWhile2 xu xv; 9.98/4.07 " 9.98/4.07 The following Function with conditions 9.98/4.07 "undefined |Falseundefined; 9.98/4.07 " 9.98/4.07 is transformed to 9.98/4.07 "undefined = undefined1; 9.98/4.07 " 9.98/4.07 "undefined0 True = undefined; 9.98/4.07 " 9.98/4.07 "undefined1 = undefined0 False; 9.98/4.07 " 9.98/4.07 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (4) 9.98/4.07 Obligation: 9.98/4.07 mainModule Main 9.98/4.07 module Main where { 9.98/4.07 import qualified Prelude; 9.98/4.07 } 9.98/4.07 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (5) NumRed (SOUND) 9.98/4.07 Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero. 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (6) 9.98/4.07 Obligation: 9.98/4.07 mainModule Main 9.98/4.07 module Main where { 9.98/4.07 import qualified Prelude; 9.98/4.07 } 9.98/4.07 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (7) Narrow (EQUIVALENT) 9.98/4.07 Haskell To QDPs 9.98/4.07 9.98/4.07 digraph dp_graph { 9.98/4.07 node [outthreshold=100, inthreshold=100];1[label="enumFrom",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.98/4.07 3[label="enumFrom xw3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.98/4.07 4[label="enumFromTo xw3 True",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.98/4.07 5[label="map toEnum (enumFromTo (fromEnum xw3) (fromEnum True))",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.98/4.07 6[label="map toEnum (numericEnumFromTo (fromEnum xw3) (fromEnum True))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.98/4.07 7[label="map toEnum (takeWhile (flip (<=) (fromEnum True)) (numericEnumFrom (fromEnum xw3)))",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.98/4.07 8[label="map toEnum (takeWhile (flip (<=) (fromEnum True)) (fromEnum xw3 : (numericEnumFrom $! fromEnum xw3 + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.98/4.07 9[label="map toEnum (takeWhile2 (flip (<=) (fromEnum True)) (fromEnum xw3 : (numericEnumFrom $! fromEnum xw3 + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3]; 9.98/4.07 10[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (fromEnum xw3) (numericEnumFrom $! fromEnum xw3 + fromInt (Pos (Succ Zero))) (flip (<=) (fromEnum True) (fromEnum xw3)))",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3]; 9.98/4.07 11[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (fromEnum xw3) (numericEnumFrom $! fromEnum xw3 + fromInt (Pos (Succ Zero))) ((<=) fromEnum xw3 fromEnum True))",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 9.98/4.07 12[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (fromEnum xw3) (numericEnumFrom $! fromEnum xw3 + fromInt (Pos (Succ Zero))) (compare (fromEnum xw3) (fromEnum True) /= GT))",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3]; 9.98/4.07 13[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (fromEnum xw3) (numericEnumFrom $! fromEnum xw3 + fromInt (Pos (Succ Zero))) (not (compare (fromEnum xw3) (fromEnum True) == GT)))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3]; 9.98/4.07 14[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (fromEnum xw3) (numericEnumFrom $! fromEnum xw3 + fromInt (Pos (Succ Zero))) (not (primCmpInt (fromEnum xw3) (fromEnum True) == GT)))",fontsize=16,color="burlywood",shape="box"];90[label="xw3/False",fontsize=10,color="white",style="solid",shape="box"];14 -> 90[label="",style="solid", color="burlywood", weight=9]; 9.98/4.07 90 -> 15[label="",style="solid", color="burlywood", weight=3]; 9.98/4.07 91[label="xw3/True",fontsize=10,color="white",style="solid",shape="box"];14 -> 91[label="",style="solid", color="burlywood", weight=9]; 9.98/4.07 91 -> 16[label="",style="solid", color="burlywood", weight=3]; 9.98/4.07 15[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (fromEnum False) (numericEnumFrom $! fromEnum False + fromInt (Pos (Succ Zero))) (not (primCmpInt (fromEnum False) (fromEnum True) == GT)))",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3]; 9.98/4.07 16[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (fromEnum True) (numericEnumFrom $! fromEnum True + fromInt (Pos (Succ Zero))) (not (primCmpInt (fromEnum True) (fromEnum True) == GT)))",fontsize=16,color="black",shape="box"];16 -> 18[label="",style="solid", color="black", weight=3]; 9.98/4.07 17[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (Pos Zero) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))) (not (primCmpInt (Pos Zero) (fromEnum True) == GT)))",fontsize=16,color="black",shape="box"];17 -> 19[label="",style="solid", color="black", weight=3]; 9.98/4.07 18[label="map toEnum (takeWhile1 (flip (<=) (fromEnum True)) (Pos (Succ Zero)) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))) (not (primCmpInt (Pos (Succ Zero)) (fromEnum True) == GT)))",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3]; 9.98/4.07 19[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos Zero) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))) (not (primCmpInt (Pos Zero) (Pos (Succ Zero)) == GT)))",fontsize=16,color="black",shape="box"];19 -> 21[label="",style="solid", color="black", weight=3]; 9.98/4.07 20[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (Succ Zero)) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))) (not (primCmpInt (Pos (Succ Zero)) (Pos (Succ Zero)) == GT)))",fontsize=16,color="black",shape="triangle"];20 -> 22[label="",style="solid", color="black", weight=3]; 9.98/4.07 21[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos Zero) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))) (not (primCmpNat Zero (Succ Zero) == GT)))",fontsize=16,color="black",shape="box"];21 -> 23[label="",style="solid", color="black", weight=3]; 9.98/4.07 22[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (Succ Zero)) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))) (not (primCmpNat (Succ Zero) (Succ Zero) == GT)))",fontsize=16,color="black",shape="box"];22 -> 24[label="",style="solid", color="black", weight=3]; 9.98/4.07 23[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos Zero) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))) (not (LT == GT)))",fontsize=16,color="black",shape="box"];23 -> 25[label="",style="solid", color="black", weight=3]; 9.98/4.07 24[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (Succ Zero)) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))) (not (primCmpNat Zero Zero == GT)))",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3]; 9.98/4.07 25[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos Zero) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))) (not False))",fontsize=16,color="black",shape="box"];25 -> 27[label="",style="solid", color="black", weight=3]; 9.98/4.07 26[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (Succ Zero)) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))) (not (EQ == GT)))",fontsize=16,color="black",shape="box"];26 -> 28[label="",style="solid", color="black", weight=3]; 9.98/4.07 27[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos Zero) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))) True)",fontsize=16,color="black",shape="box"];27 -> 29[label="",style="solid", color="black", weight=3]; 9.98/4.07 28[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (Succ Zero)) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))) (not False))",fontsize=16,color="black",shape="box"];28 -> 30[label="",style="solid", color="black", weight=3]; 9.98/4.07 29[label="map toEnum (Pos Zero : takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))))",fontsize=16,color="black",shape="box"];29 -> 31[label="",style="solid", color="black", weight=3]; 9.98/4.07 30[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (Succ Zero)) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))) True)",fontsize=16,color="black",shape="box"];30 -> 32[label="",style="solid", color="black", weight=3]; 9.98/4.07 31[label="toEnum (Pos Zero) : map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))))",fontsize=16,color="green",shape="box"];31 -> 33[label="",style="dashed", color="green", weight=3]; 9.98/4.07 31 -> 34[label="",style="dashed", color="green", weight=3]; 9.98/4.07 32[label="map toEnum (Pos (Succ Zero) : takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))))",fontsize=16,color="black",shape="box"];32 -> 35[label="",style="solid", color="black", weight=3]; 9.98/4.07 33[label="toEnum (Pos Zero)",fontsize=16,color="black",shape="box"];33 -> 36[label="",style="solid", color="black", weight=3]; 9.98/4.07 34[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom $! Pos Zero + fromInt (Pos (Succ Zero))))",fontsize=16,color="black",shape="box"];34 -> 37[label="",style="solid", color="black", weight=3]; 9.98/4.07 35[label="toEnum (Pos (Succ Zero)) : map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))))",fontsize=16,color="green",shape="box"];35 -> 38[label="",style="dashed", color="green", weight=3]; 9.98/4.07 35 -> 39[label="",style="dashed", color="green", weight=3]; 9.98/4.07 36[label="toEnum3 (Pos Zero)",fontsize=16,color="black",shape="box"];36 -> 40[label="",style="solid", color="black", weight=3]; 9.98/4.07 37[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (Pos Zero + fromInt (Pos (Succ Zero)) `seq` numericEnumFrom (Pos Zero + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];37 -> 41[label="",style="solid", color="black", weight=3]; 9.98/4.07 38[label="toEnum (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];38 -> 42[label="",style="solid", color="black", weight=3]; 9.98/4.07 39[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom $! Pos (Succ Zero) + fromInt (Pos (Succ Zero))))",fontsize=16,color="black",shape="box"];39 -> 43[label="",style="solid", color="black", weight=3]; 9.98/4.07 40[label="toEnum2 (Pos Zero == Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];40 -> 44[label="",style="solid", color="black", weight=3]; 9.98/4.07 41[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (Pos Zero + fromInt (Pos (Succ Zero)))) (numericEnumFrom (Pos Zero + fromInt (Pos (Succ Zero))))))",fontsize=16,color="black",shape="box"];41 -> 45[label="",style="solid", color="black", weight=3]; 9.98/4.07 42[label="toEnum3 (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];42 -> 46[label="",style="solid", color="black", weight=3]; 9.98/4.07 43[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (Pos (Succ Zero) + fromInt (Pos (Succ Zero)) `seq` numericEnumFrom (Pos (Succ Zero) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];43 -> 47[label="",style="solid", color="black", weight=3]; 9.98/4.07 44[label="toEnum2 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];44 -> 48[label="",style="solid", color="black", weight=3]; 9.98/4.07 45[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (primPlusInt (Pos Zero) (fromInt (Pos (Succ Zero))))) (numericEnumFrom (primPlusInt (Pos Zero) (fromInt (Pos (Succ Zero)))))))",fontsize=16,color="black",shape="box"];45 -> 49[label="",style="solid", color="black", weight=3]; 9.98/4.07 46[label="toEnum2 (Pos (Succ Zero) == Pos Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];46 -> 50[label="",style="solid", color="black", weight=3]; 9.98/4.07 47[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (Pos (Succ Zero) + fromInt (Pos (Succ Zero)))) (numericEnumFrom (Pos (Succ Zero) + fromInt (Pos (Succ Zero))))))",fontsize=16,color="black",shape="box"];47 -> 51[label="",style="solid", color="black", weight=3]; 9.98/4.07 48[label="toEnum2 True (Pos Zero)",fontsize=16,color="black",shape="box"];48 -> 52[label="",style="solid", color="black", weight=3]; 9.98/4.07 49[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (primPlusInt (Pos Zero) (Pos (Succ Zero)))) (numericEnumFrom (primPlusInt (Pos Zero) (Pos (Succ Zero))))))",fontsize=16,color="black",shape="box"];49 -> 53[label="",style="solid", color="black", weight=3]; 9.98/4.07 50[label="toEnum2 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];50 -> 54[label="",style="solid", color="black", weight=3]; 9.98/4.07 51[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (primPlusInt (Pos (Succ Zero)) (fromInt (Pos (Succ Zero))))) (numericEnumFrom (primPlusInt (Pos (Succ Zero)) (fromInt (Pos (Succ Zero)))))))",fontsize=16,color="black",shape="box"];51 -> 55[label="",style="solid", color="black", weight=3]; 9.98/4.07 52[label="False",fontsize=16,color="green",shape="box"];53[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (Pos (primPlusNat Zero (Succ Zero)))) (numericEnumFrom (Pos (primPlusNat Zero (Succ Zero))))))",fontsize=16,color="black",shape="box"];53 -> 56[label="",style="solid", color="black", weight=3]; 9.98/4.07 54[label="toEnum2 False (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];54 -> 57[label="",style="solid", color="black", weight=3]; 9.98/4.07 55[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero)))) (numericEnumFrom (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero))))))",fontsize=16,color="black",shape="box"];55 -> 58[label="",style="solid", color="black", weight=3]; 9.98/4.07 56[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom (Pos (primPlusNat Zero (Succ Zero)))))",fontsize=16,color="black",shape="box"];56 -> 59[label="",style="solid", color="black", weight=3]; 9.98/4.07 57[label="toEnum1 (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];57 -> 60[label="",style="solid", color="black", weight=3]; 9.98/4.07 58[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (enforceWHNF (WHNF (Pos (primPlusNat (Succ Zero) (Succ Zero)))) (numericEnumFrom (Pos (primPlusNat (Succ Zero) (Succ Zero))))))",fontsize=16,color="black",shape="box"];58 -> 61[label="",style="solid", color="black", weight=3]; 9.98/4.07 59[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat Zero (Succ Zero)) : (numericEnumFrom $! Pos (primPlusNat Zero (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];59 -> 62[label="",style="solid", color="black", weight=3]; 9.98/4.07 60[label="toEnum0 (Pos (Succ Zero) == Pos (Succ Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];60 -> 63[label="",style="solid", color="black", weight=3]; 9.98/4.07 61[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (numericEnumFrom (Pos (primPlusNat (Succ Zero) (Succ Zero)))))",fontsize=16,color="black",shape="box"];61 -> 64[label="",style="solid", color="black", weight=3]; 9.98/4.07 62[label="map toEnum (takeWhile2 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat Zero (Succ Zero)) : (numericEnumFrom $! Pos (primPlusNat Zero (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];62 -> 65[label="",style="solid", color="black", weight=3]; 9.98/4.07 63[label="toEnum0 (primEqInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];63 -> 66[label="",style="solid", color="black", weight=3]; 9.98/4.07 64[label="map toEnum (takeWhile (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat (Succ Zero) (Succ Zero)) : (numericEnumFrom $! Pos (primPlusNat (Succ Zero) (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];64 -> 67[label="",style="solid", color="black", weight=3]; 9.98/4.07 65[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat Zero (Succ Zero))) (numericEnumFrom $! Pos (primPlusNat Zero (Succ Zero)) + fromInt (Pos (Succ Zero))) (flip (<=) (Pos (Succ Zero)) (Pos (primPlusNat Zero (Succ Zero)))))",fontsize=16,color="black",shape="box"];65 -> 68[label="",style="solid", color="black", weight=3]; 9.98/4.07 66[label="toEnum0 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];66 -> 69[label="",style="solid", color="black", weight=3]; 9.98/4.07 67[label="map toEnum (takeWhile2 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat (Succ Zero) (Succ Zero)) : (numericEnumFrom $! Pos (primPlusNat (Succ Zero) (Succ Zero)) + fromInt (Pos (Succ Zero)))))",fontsize=16,color="black",shape="box"];67 -> 70[label="",style="solid", color="black", weight=3]; 9.98/4.07 68[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat Zero (Succ Zero))) (numericEnumFrom $! Pos (primPlusNat Zero (Succ Zero)) + fromInt (Pos (Succ Zero))) ((<=) Pos (primPlusNat Zero (Succ Zero)) Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];68 -> 71[label="",style="solid", color="black", weight=3]; 9.98/4.07 69[label="toEnum0 True (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];69 -> 72[label="",style="solid", color="black", weight=3]; 9.98/4.07 70[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat (Succ Zero) (Succ Zero))) (numericEnumFrom $! Pos (primPlusNat (Succ Zero) (Succ Zero)) + fromInt (Pos (Succ Zero))) (flip (<=) (Pos (Succ Zero)) (Pos (primPlusNat (Succ Zero) (Succ Zero)))))",fontsize=16,color="black",shape="box"];70 -> 73[label="",style="solid", color="black", weight=3]; 9.98/4.07 71[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat Zero (Succ Zero))) (numericEnumFrom $! Pos (primPlusNat Zero (Succ Zero)) + fromInt (Pos (Succ Zero))) (compare (Pos (primPlusNat Zero (Succ Zero))) (Pos (Succ Zero)) /= GT))",fontsize=16,color="black",shape="box"];71 -> 74[label="",style="solid", color="black", weight=3]; 9.98/4.07 72[label="True",fontsize=16,color="green",shape="box"];73[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat (Succ Zero) (Succ Zero))) (numericEnumFrom $! Pos (primPlusNat (Succ Zero) (Succ Zero)) + fromInt (Pos (Succ Zero))) ((<=) Pos (primPlusNat (Succ Zero) (Succ Zero)) Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];73 -> 75[label="",style="solid", color="black", weight=3]; 9.98/4.07 74[label="map toEnum (takeWhile1 (flip (<=) (Pos (Succ Zero))) (Pos (primPlusNat Zero (Succ Zero))) (numericEnumFrom $! 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Pos (Succ (Succ (primPlusNat Zero Zero))) + fromInt (Pos (Succ Zero))) True)",fontsize=16,color="black",shape="box"];87 -> 88[label="",style="solid", color="black", weight=3]; 9.98/4.07 88[label="map toEnum []",fontsize=16,color="black",shape="box"];88 -> 89[label="",style="solid", color="black", weight=3]; 9.98/4.07 89[label="[]",fontsize=16,color="green",shape="box"];} 9.98/4.07 9.98/4.07 ---------------------------------------- 9.98/4.07 9.98/4.07 (8) 9.98/4.07 YES 9.98/4.12 EOF