/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) IFR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4) HASKELL (5) COR [EQUIVALENT, 10 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) AND (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 3 ms] (14) YES (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] (26) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy _ _ [] = []; deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) IFR (EQUIVALENT) If Reductions: The following If expression "if eq x y then ys else y : deleteBy eq x ys" is transformed to "deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; " ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy _ _ [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (4) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy xw xx [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (6) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy xw xx [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (7) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(List.\\)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="xy3 (List.\\)",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="xy3 (List.\\) xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="foldl (flip List.delete) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];692[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 6[label="",style="solid", color="burlywood", weight=3]; 693[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 7[label="",style="solid", color="burlywood", weight=3]; 6[label="foldl (flip List.delete) xy3 (xy40 : xy41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="foldl (flip List.delete) xy3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8 -> 5[label="",style="dashed", color="red", weight=0]; 8[label="foldl (flip List.delete) (flip List.delete xy3 xy40) xy41",fontsize=16,color="magenta"];8 -> 10[label="",style="dashed", color="magenta", weight=3]; 8 -> 11[label="",style="dashed", color="magenta", weight=3]; 9[label="xy3",fontsize=16,color="green",shape="box"];10[label="xy41",fontsize=16,color="green",shape="box"];11[label="flip List.delete xy3 xy40",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 12[label="List.delete xy40 xy3",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3]; 13[label="List.deleteBy (==) xy40 xy3",fontsize=16,color="burlywood",shape="triangle"];694[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];13 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 14[label="",style="solid", color="burlywood", weight=3]; 695[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 15[label="",style="solid", color="burlywood", weight=3]; 14[label="List.deleteBy (==) xy40 (xy30 : xy31)",fontsize=16,color="black",shape="box"];14 -> 16[label="",style="solid", color="black", weight=3]; 15[label="List.deleteBy (==) xy40 []",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3]; 16 -> 18[label="",style="dashed", color="red", weight=0]; 16[label="List.deleteBy0 xy31 xy30 (==) xy40 ((==) xy40 xy30)",fontsize=16,color="magenta"];16 -> 19[label="",style="dashed", color="magenta", weight=3]; 16 -> 20[label="",style="dashed", color="magenta", weight=3]; 16 -> 21[label="",style="dashed", color="magenta", weight=3]; 16 -> 22[label="",style="dashed", color="magenta", weight=3]; 17[label="[]",fontsize=16,color="green",shape="box"];19[label="(==) xy40 xy30",fontsize=16,color="blue",shape="box"];696[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 696[label="",style="solid", color="blue", weight=9]; 696 -> 23[label="",style="solid", color="blue", weight=3]; 697[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 697[label="",style="solid", color="blue", weight=9]; 697 -> 24[label="",style="solid", color="blue", weight=3]; 698[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 698[label="",style="solid", color="blue", weight=9]; 698 -> 25[label="",style="solid", color="blue", weight=3]; 699[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 699[label="",style="solid", color="blue", weight=9]; 699 -> 26[label="",style="solid", color="blue", weight=3]; 700[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 700[label="",style="solid", color="blue", weight=9]; 700 -> 27[label="",style="solid", color="blue", weight=3]; 701[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 701[label="",style="solid", color="blue", weight=9]; 701 -> 28[label="",style="solid", color="blue", weight=3]; 702[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 702[label="",style="solid", color="blue", weight=9]; 702 -> 29[label="",style="solid", color="blue", weight=3]; 703[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 703[label="",style="solid", color="blue", weight=9]; 703 -> 30[label="",style="solid", color="blue", weight=3]; 704[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 704[label="",style="solid", color="blue", weight=9]; 704 -> 31[label="",style="solid", color="blue", weight=3]; 705[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 705[label="",style="solid", color="blue", weight=9]; 705 -> 32[label="",style="solid", color="blue", weight=3]; 706[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 706[label="",style="solid", color="blue", weight=9]; 706 -> 33[label="",style="solid", color="blue", weight=3]; 707[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 707[label="",style="solid", color="blue", weight=9]; 707 -> 34[label="",style="solid", color="blue", weight=3]; 708[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 708[label="",style="solid", color="blue", weight=9]; 708 -> 35[label="",style="solid", color="blue", weight=3]; 709[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];19 -> 709[label="",style="solid", color="blue", weight=9]; 709 -> 36[label="",style="solid", color="blue", weight=3]; 20[label="xy40",fontsize=16,color="green",shape="box"];21[label="xy31",fontsize=16,color="green",shape="box"];22[label="xy30",fontsize=16,color="green",shape="box"];18[label="List.deleteBy0 xy10 xy11 (==) xy12 xy13",fontsize=16,color="burlywood",shape="triangle"];710[label="xy13/False",fontsize=10,color="white",style="solid",shape="box"];18 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 37[label="",style="solid", color="burlywood", weight=3]; 711[label="xy13/True",fontsize=10,color="white",style="solid",shape="box"];18 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 38[label="",style="solid", color="burlywood", weight=3]; 23[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];712[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];23 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 39[label="",style="solid", color="burlywood", weight=3]; 713[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];23 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 40[label="",style="solid", color="burlywood", weight=3]; 24[label="(==) xy40 xy30",fontsize=16,color="black",shape="triangle"];24 -> 41[label="",style="solid", color="black", weight=3]; 25[label="(==) xy40 xy30",fontsize=16,color="black",shape="triangle"];25 -> 42[label="",style="solid", color="black", weight=3]; 26[label="(==) xy40 xy30",fontsize=16,color="black",shape="triangle"];26 -> 43[label="",style="solid", color="black", weight=3]; 27[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];714[label="xy40/Integer xy400",fontsize=10,color="white",style="solid",shape="box"];27 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 44[label="",style="solid", color="burlywood", weight=3]; 28[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];715[label="xy40/(xy400,xy401,xy402)",fontsize=10,color="white",style="solid",shape="box"];28 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 45[label="",style="solid", color="burlywood", weight=3]; 29[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];716[label="xy40/()",fontsize=10,color="white",style="solid",shape="box"];29 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 46[label="",style="solid", color="burlywood", weight=3]; 30[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];717[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];30 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 47[label="",style="solid", color="burlywood", weight=3]; 718[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];30 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 48[label="",style="solid", color="burlywood", weight=3]; 31[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];719[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];31 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 49[label="",style="solid", color="burlywood", weight=3]; 720[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];31 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 50[label="",style="solid", color="burlywood", weight=3]; 721[label="xy40/GT",fontsize=10,color="white",style="solid",shape="box"];31 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 51[label="",style="solid", color="burlywood", weight=3]; 32[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];722[label="xy40/(xy400,xy401)",fontsize=10,color="white",style="solid",shape="box"];32 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 52[label="",style="solid", color="burlywood", weight=3]; 33[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];723[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];33 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 53[label="",style="solid", color="burlywood", weight=3]; 724[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];33 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 54[label="",style="solid", color="burlywood", weight=3]; 34[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];725[label="xy40/xy400 :% xy401",fontsize=10,color="white",style="solid",shape="box"];34 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 55[label="",style="solid", color="burlywood", weight=3]; 35[label="(==) xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];726[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];35 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 56[label="",style="solid", color="burlywood", weight=3]; 727[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];35 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 57[label="",style="solid", color="burlywood", weight=3]; 36[label="(==) xy40 xy30",fontsize=16,color="black",shape="triangle"];36 -> 58[label="",style="solid", color="black", weight=3]; 37[label="List.deleteBy0 xy10 xy11 (==) xy12 False",fontsize=16,color="black",shape="box"];37 -> 59[label="",style="solid", color="black", weight=3]; 38[label="List.deleteBy0 xy10 xy11 (==) xy12 True",fontsize=16,color="black",shape="box"];38 -> 60[label="",style="solid", color="black", weight=3]; 39[label="(==) Left xy400 xy30",fontsize=16,color="burlywood",shape="box"];728[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];39 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 61[label="",style="solid", color="burlywood", weight=3]; 729[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];39 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 62[label="",style="solid", color="burlywood", weight=3]; 40[label="(==) Right xy400 xy30",fontsize=16,color="burlywood",shape="box"];730[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];40 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 63[label="",style="solid", color="burlywood", weight=3]; 731[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];40 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 64[label="",style="solid", color="burlywood", weight=3]; 41[label="primEqChar xy40 xy30",fontsize=16,color="burlywood",shape="box"];732[label="xy40/Char xy400",fontsize=10,color="white",style="solid",shape="box"];41 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 65[label="",style="solid", color="burlywood", weight=3]; 42[label="primEqFloat xy40 xy30",fontsize=16,color="burlywood",shape="box"];733[label="xy40/Float xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];42 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 66[label="",style="solid", color="burlywood", weight=3]; 43[label="primEqDouble xy40 xy30",fontsize=16,color="burlywood",shape="box"];734[label="xy40/Double xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];43 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 67[label="",style="solid", color="burlywood", weight=3]; 44[label="(==) Integer xy400 xy30",fontsize=16,color="burlywood",shape="box"];735[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];44 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 68[label="",style="solid", color="burlywood", weight=3]; 45[label="(==) (xy400,xy401,xy402) xy30",fontsize=16,color="burlywood",shape="box"];736[label="xy30/(xy300,xy301,xy302)",fontsize=10,color="white",style="solid",shape="box"];45 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 69[label="",style="solid", color="burlywood", weight=3]; 46[label="(==) () xy30",fontsize=16,color="burlywood",shape="box"];737[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];46 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 70[label="",style="solid", color="burlywood", weight=3]; 47[label="(==) False xy30",fontsize=16,color="burlywood",shape="box"];738[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];47 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 71[label="",style="solid", color="burlywood", weight=3]; 739[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];47 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 72[label="",style="solid", color="burlywood", weight=3]; 48[label="(==) True xy30",fontsize=16,color="burlywood",shape="box"];740[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];48 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 73[label="",style="solid", color="burlywood", weight=3]; 741[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];48 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 74[label="",style="solid", color="burlywood", weight=3]; 49[label="(==) LT xy30",fontsize=16,color="burlywood",shape="box"];742[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];49 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 75[label="",style="solid", color="burlywood", weight=3]; 743[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];49 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 76[label="",style="solid", color="burlywood", weight=3]; 744[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];49 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 77[label="",style="solid", color="burlywood", weight=3]; 50[label="(==) EQ xy30",fontsize=16,color="burlywood",shape="box"];745[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];50 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 78[label="",style="solid", color="burlywood", weight=3]; 746[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];50 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 79[label="",style="solid", color="burlywood", weight=3]; 747[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];50 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 80[label="",style="solid", color="burlywood", weight=3]; 51[label="(==) GT xy30",fontsize=16,color="burlywood",shape="box"];748[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];51 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 81[label="",style="solid", color="burlywood", weight=3]; 749[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];51 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 82[label="",style="solid", color="burlywood", weight=3]; 750[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];51 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 83[label="",style="solid", color="burlywood", weight=3]; 52[label="(==) (xy400,xy401) xy30",fontsize=16,color="burlywood",shape="box"];751[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];52 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 84[label="",style="solid", color="burlywood", weight=3]; 53[label="(==) Nothing xy30",fontsize=16,color="burlywood",shape="box"];752[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];53 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 85[label="",style="solid", color="burlywood", weight=3]; 753[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];53 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 86[label="",style="solid", color="burlywood", weight=3]; 54[label="(==) Just xy400 xy30",fontsize=16,color="burlywood",shape="box"];754[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];54 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 87[label="",style="solid", color="burlywood", weight=3]; 755[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];54 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 88[label="",style="solid", color="burlywood", weight=3]; 55[label="(==) xy400 :% xy401 xy30",fontsize=16,color="burlywood",shape="box"];756[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];55 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 89[label="",style="solid", color="burlywood", weight=3]; 56[label="(==) xy400 : xy401 xy30",fontsize=16,color="burlywood",shape="box"];757[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];56 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 90[label="",style="solid", color="burlywood", weight=3]; 758[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];56 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 91[label="",style="solid", color="burlywood", weight=3]; 57[label="(==) [] xy30",fontsize=16,color="burlywood",shape="box"];759[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];57 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 92[label="",style="solid", color="burlywood", weight=3]; 760[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];57 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 93[label="",style="solid", color="burlywood", weight=3]; 58[label="primEqInt xy40 xy30",fontsize=16,color="burlywood",shape="triangle"];761[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];58 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 94[label="",style="solid", color="burlywood", weight=3]; 762[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];58 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 95[label="",style="solid", color="burlywood", weight=3]; 59[label="xy11 : List.deleteBy (==) xy12 xy10",fontsize=16,color="green",shape="box"];59 -> 96[label="",style="dashed", color="green", weight=3]; 60[label="xy10",fontsize=16,color="green",shape="box"];61[label="(==) Left xy400 Left xy300",fontsize=16,color="black",shape="box"];61 -> 97[label="",style="solid", color="black", weight=3]; 62[label="(==) Left xy400 Right xy300",fontsize=16,color="black",shape="box"];62 -> 98[label="",style="solid", color="black", weight=3]; 63[label="(==) Right xy400 Left xy300",fontsize=16,color="black",shape="box"];63 -> 99[label="",style="solid", color="black", weight=3]; 64[label="(==) Right xy400 Right xy300",fontsize=16,color="black",shape="box"];64 -> 100[label="",style="solid", color="black", weight=3]; 65[label="primEqChar (Char xy400) xy30",fontsize=16,color="burlywood",shape="box"];763[label="xy30/Char xy300",fontsize=10,color="white",style="solid",shape="box"];65 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 101[label="",style="solid", color="burlywood", weight=3]; 66[label="primEqFloat (Float xy400 xy401) xy30",fontsize=16,color="burlywood",shape="box"];764[label="xy30/Float xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];66 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 102[label="",style="solid", color="burlywood", weight=3]; 67[label="primEqDouble (Double xy400 xy401) xy30",fontsize=16,color="burlywood",shape="box"];765[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];67 -> 765[label="",style="solid", color="burlywood", weight=9]; 765 -> 103[label="",style="solid", color="burlywood", weight=3]; 68[label="(==) Integer xy400 Integer xy300",fontsize=16,color="black",shape="box"];68 -> 104[label="",style="solid", color="black", weight=3]; 69[label="(==) (xy400,xy401,xy402) (xy300,xy301,xy302)",fontsize=16,color="black",shape="box"];69 -> 105[label="",style="solid", color="black", weight=3]; 70[label="(==) () ()",fontsize=16,color="black",shape="box"];70 -> 106[label="",style="solid", color="black", weight=3]; 71[label="(==) False False",fontsize=16,color="black",shape="box"];71 -> 107[label="",style="solid", color="black", weight=3]; 72[label="(==) False True",fontsize=16,color="black",shape="box"];72 -> 108[label="",style="solid", color="black", weight=3]; 73[label="(==) True False",fontsize=16,color="black",shape="box"];73 -> 109[label="",style="solid", color="black", weight=3]; 74[label="(==) True True",fontsize=16,color="black",shape="box"];74 -> 110[label="",style="solid", color="black", weight=3]; 75[label="(==) LT LT",fontsize=16,color="black",shape="box"];75 -> 111[label="",style="solid", color="black", weight=3]; 76[label="(==) LT EQ",fontsize=16,color="black",shape="box"];76 -> 112[label="",style="solid", color="black", weight=3]; 77[label="(==) LT GT",fontsize=16,color="black",shape="box"];77 -> 113[label="",style="solid", color="black", weight=3]; 78[label="(==) EQ LT",fontsize=16,color="black",shape="box"];78 -> 114[label="",style="solid", color="black", weight=3]; 79[label="(==) EQ EQ",fontsize=16,color="black",shape="box"];79 -> 115[label="",style="solid", color="black", weight=3]; 80[label="(==) EQ GT",fontsize=16,color="black",shape="box"];80 -> 116[label="",style="solid", color="black", weight=3]; 81[label="(==) GT LT",fontsize=16,color="black",shape="box"];81 -> 117[label="",style="solid", color="black", weight=3]; 82[label="(==) GT EQ",fontsize=16,color="black",shape="box"];82 -> 118[label="",style="solid", color="black", weight=3]; 83[label="(==) GT GT",fontsize=16,color="black",shape="box"];83 -> 119[label="",style="solid", color="black", weight=3]; 84[label="(==) (xy400,xy401) (xy300,xy301)",fontsize=16,color="black",shape="box"];84 -> 120[label="",style="solid", color="black", weight=3]; 85[label="(==) Nothing Nothing",fontsize=16,color="black",shape="box"];85 -> 121[label="",style="solid", color="black", weight=3]; 86[label="(==) Nothing Just xy300",fontsize=16,color="black",shape="box"];86 -> 122[label="",style="solid", color="black", weight=3]; 87[label="(==) Just xy400 Nothing",fontsize=16,color="black",shape="box"];87 -> 123[label="",style="solid", color="black", weight=3]; 88[label="(==) Just xy400 Just xy300",fontsize=16,color="black",shape="box"];88 -> 124[label="",style="solid", color="black", weight=3]; 89[label="(==) xy400 :% xy401 xy300 :% xy301",fontsize=16,color="black",shape="box"];89 -> 125[label="",style="solid", color="black", weight=3]; 90[label="(==) xy400 : xy401 xy300 : xy301",fontsize=16,color="black",shape="box"];90 -> 126[label="",style="solid", color="black", weight=3]; 91[label="(==) xy400 : xy401 []",fontsize=16,color="black",shape="box"];91 -> 127[label="",style="solid", color="black", weight=3]; 92[label="(==) [] xy300 : xy301",fontsize=16,color="black",shape="box"];92 -> 128[label="",style="solid", color="black", weight=3]; 93[label="(==) [] []",fontsize=16,color="black",shape="box"];93 -> 129[label="",style="solid", color="black", weight=3]; 94[label="primEqInt (Pos xy400) xy30",fontsize=16,color="burlywood",shape="box"];766[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];94 -> 766[label="",style="solid", color="burlywood", weight=9]; 766 -> 130[label="",style="solid", color="burlywood", weight=3]; 767[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];94 -> 767[label="",style="solid", color="burlywood", weight=9]; 767 -> 131[label="",style="solid", color="burlywood", weight=3]; 95[label="primEqInt (Neg xy400) xy30",fontsize=16,color="burlywood",shape="box"];768[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];95 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 132[label="",style="solid", color="burlywood", weight=3]; 769[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];95 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 133[label="",style="solid", color="burlywood", weight=3]; 96 -> 13[label="",style="dashed", color="red", weight=0]; 96[label="List.deleteBy (==) xy12 xy10",fontsize=16,color="magenta"];96 -> 134[label="",style="dashed", color="magenta", weight=3]; 96 -> 135[label="",style="dashed", color="magenta", weight=3]; 97[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];770[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 136[label="",style="solid", color="blue", weight=3]; 771[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 137[label="",style="solid", color="blue", weight=3]; 772[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 138[label="",style="solid", color="blue", weight=3]; 773[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 139[label="",style="solid", color="blue", weight=3]; 774[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 140[label="",style="solid", color="blue", weight=3]; 775[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 141[label="",style="solid", color="blue", weight=3]; 776[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 142[label="",style="solid", color="blue", weight=3]; 777[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 143[label="",style="solid", color="blue", weight=3]; 778[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 144[label="",style="solid", color="blue", weight=3]; 779[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 145[label="",style="solid", color="blue", weight=3]; 780[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 146[label="",style="solid", color="blue", weight=3]; 781[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 147[label="",style="solid", color="blue", weight=3]; 782[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 148[label="",style="solid", color="blue", weight=3]; 783[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];97 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 149[label="",style="solid", color="blue", weight=3]; 98[label="False",fontsize=16,color="green",shape="box"];99[label="False",fontsize=16,color="green",shape="box"];100[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];784[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 150[label="",style="solid", color="blue", weight=3]; 785[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 151[label="",style="solid", color="blue", weight=3]; 786[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 152[label="",style="solid", color="blue", weight=3]; 787[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 153[label="",style="solid", color="blue", weight=3]; 788[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 154[label="",style="solid", color="blue", weight=3]; 789[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 155[label="",style="solid", color="blue", weight=3]; 790[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 156[label="",style="solid", color="blue", weight=3]; 791[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 157[label="",style="solid", color="blue", weight=3]; 792[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 158[label="",style="solid", color="blue", weight=3]; 793[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 159[label="",style="solid", color="blue", weight=3]; 794[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 160[label="",style="solid", color="blue", weight=3]; 795[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 161[label="",style="solid", color="blue", weight=3]; 796[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 162[label="",style="solid", color="blue", weight=3]; 797[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 163[label="",style="solid", color="blue", weight=3]; 101[label="primEqChar (Char xy400) (Char xy300)",fontsize=16,color="black",shape="box"];101 -> 164[label="",style="solid", color="black", weight=3]; 102[label="primEqFloat (Float xy400 xy401) (Float xy300 xy301)",fontsize=16,color="black",shape="box"];102 -> 165[label="",style="solid", color="black", weight=3]; 103[label="primEqDouble (Double xy400 xy401) (Double xy300 xy301)",fontsize=16,color="black",shape="box"];103 -> 166[label="",style="solid", color="black", weight=3]; 104 -> 58[label="",style="dashed", color="red", weight=0]; 104[label="primEqInt xy400 xy300",fontsize=16,color="magenta"];104 -> 167[label="",style="dashed", color="magenta", weight=3]; 104 -> 168[label="",style="dashed", color="magenta", weight=3]; 105 -> 283[label="",style="dashed", color="red", weight=0]; 105[label="xy400 == xy300 && xy401 == xy301 && xy402 == xy302",fontsize=16,color="magenta"];105 -> 284[label="",style="dashed", color="magenta", weight=3]; 105 -> 285[label="",style="dashed", color="magenta", weight=3]; 106[label="True",fontsize=16,color="green",shape="box"];107[label="True",fontsize=16,color="green",shape="box"];108[label="False",fontsize=16,color="green",shape="box"];109[label="False",fontsize=16,color="green",shape="box"];110[label="True",fontsize=16,color="green",shape="box"];111[label="True",fontsize=16,color="green",shape="box"];112[label="False",fontsize=16,color="green",shape="box"];113[label="False",fontsize=16,color="green",shape="box"];114[label="False",fontsize=16,color="green",shape="box"];115[label="True",fontsize=16,color="green",shape="box"];116[label="False",fontsize=16,color="green",shape="box"];117[label="False",fontsize=16,color="green",shape="box"];118[label="False",fontsize=16,color="green",shape="box"];119[label="True",fontsize=16,color="green",shape="box"];120 -> 283[label="",style="dashed", color="red", weight=0]; 120[label="xy400 == xy300 && xy401 == xy301",fontsize=16,color="magenta"];120 -> 286[label="",style="dashed", color="magenta", weight=3]; 120 -> 287[label="",style="dashed", color="magenta", weight=3]; 121[label="True",fontsize=16,color="green",shape="box"];122[label="False",fontsize=16,color="green",shape="box"];123[label="False",fontsize=16,color="green",shape="box"];124[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];798[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 185[label="",style="solid", color="blue", weight=3]; 799[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 186[label="",style="solid", color="blue", weight=3]; 800[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 187[label="",style="solid", color="blue", weight=3]; 801[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 188[label="",style="solid", color="blue", weight=3]; 802[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 189[label="",style="solid", color="blue", weight=3]; 803[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 190[label="",style="solid", color="blue", weight=3]; 804[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 191[label="",style="solid", color="blue", weight=3]; 805[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 192[label="",style="solid", color="blue", weight=3]; 806[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 193[label="",style="solid", color="blue", weight=3]; 807[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 194[label="",style="solid", color="blue", weight=3]; 808[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 195[label="",style="solid", color="blue", weight=3]; 809[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 196[label="",style="solid", color="blue", weight=3]; 810[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 197[label="",style="solid", color="blue", weight=3]; 811[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 198[label="",style="solid", color="blue", weight=3]; 125 -> 283[label="",style="dashed", color="red", weight=0]; 125[label="xy400 == xy300 && xy401 == xy301",fontsize=16,color="magenta"];125 -> 288[label="",style="dashed", color="magenta", weight=3]; 125 -> 289[label="",style="dashed", color="magenta", weight=3]; 126 -> 283[label="",style="dashed", color="red", weight=0]; 126[label="xy400 == xy300 && xy401 == xy301",fontsize=16,color="magenta"];126 -> 290[label="",style="dashed", color="magenta", weight=3]; 126 -> 291[label="",style="dashed", color="magenta", weight=3]; 127[label="False",fontsize=16,color="green",shape="box"];128[label="False",fontsize=16,color="green",shape="box"];129[label="True",fontsize=16,color="green",shape="box"];130[label="primEqInt (Pos (Succ xy4000)) xy30",fontsize=16,color="burlywood",shape="box"];812[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];130 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 199[label="",style="solid", color="burlywood", weight=3]; 813[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];130 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 200[label="",style="solid", color="burlywood", weight=3]; 131[label="primEqInt (Pos Zero) xy30",fontsize=16,color="burlywood",shape="box"];814[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];131 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 201[label="",style="solid", color="burlywood", weight=3]; 815[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];131 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 202[label="",style="solid", color="burlywood", weight=3]; 132[label="primEqInt (Neg (Succ xy4000)) xy30",fontsize=16,color="burlywood",shape="box"];816[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];132 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 203[label="",style="solid", color="burlywood", weight=3]; 817[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];132 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 204[label="",style="solid", color="burlywood", weight=3]; 133[label="primEqInt (Neg Zero) xy30",fontsize=16,color="burlywood",shape="box"];818[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];133 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 205[label="",style="solid", color="burlywood", weight=3]; 819[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];133 -> 819[label="",style="solid", color="burlywood", weight=9]; 819 -> 206[label="",style="solid", color="burlywood", weight=3]; 134[label="xy12",fontsize=16,color="green",shape="box"];135[label="xy10",fontsize=16,color="green",shape="box"];136 -> 23[label="",style="dashed", color="red", weight=0]; 136[label="xy400 == xy300",fontsize=16,color="magenta"];136 -> 207[label="",style="dashed", color="magenta", weight=3]; 136 -> 208[label="",style="dashed", color="magenta", weight=3]; 137 -> 24[label="",style="dashed", color="red", weight=0]; 137[label="xy400 == xy300",fontsize=16,color="magenta"];137 -> 209[label="",style="dashed", color="magenta", weight=3]; 137 -> 210[label="",style="dashed", color="magenta", weight=3]; 138 -> 25[label="",style="dashed", color="red", weight=0]; 138[label="xy400 == xy300",fontsize=16,color="magenta"];138 -> 211[label="",style="dashed", color="magenta", weight=3]; 138 -> 212[label="",style="dashed", color="magenta", weight=3]; 139 -> 26[label="",style="dashed", color="red", weight=0]; 139[label="xy400 == xy300",fontsize=16,color="magenta"];139 -> 213[label="",style="dashed", color="magenta", weight=3]; 139 -> 214[label="",style="dashed", color="magenta", weight=3]; 140 -> 27[label="",style="dashed", color="red", weight=0]; 140[label="xy400 == xy300",fontsize=16,color="magenta"];140 -> 215[label="",style="dashed", color="magenta", weight=3]; 140 -> 216[label="",style="dashed", color="magenta", weight=3]; 141 -> 28[label="",style="dashed", color="red", weight=0]; 141[label="xy400 == xy300",fontsize=16,color="magenta"];141 -> 217[label="",style="dashed", color="magenta", weight=3]; 141 -> 218[label="",style="dashed", color="magenta", weight=3]; 142 -> 29[label="",style="dashed", color="red", weight=0]; 142[label="xy400 == xy300",fontsize=16,color="magenta"];142 -> 219[label="",style="dashed", color="magenta", weight=3]; 142 -> 220[label="",style="dashed", color="magenta", weight=3]; 143 -> 30[label="",style="dashed", color="red", weight=0]; 143[label="xy400 == xy300",fontsize=16,color="magenta"];143 -> 221[label="",style="dashed", color="magenta", weight=3]; 143 -> 222[label="",style="dashed", color="magenta", weight=3]; 144 -> 31[label="",style="dashed", color="red", weight=0]; 144[label="xy400 == xy300",fontsize=16,color="magenta"];144 -> 223[label="",style="dashed", color="magenta", weight=3]; 144 -> 224[label="",style="dashed", color="magenta", weight=3]; 145 -> 32[label="",style="dashed", color="red", weight=0]; 145[label="xy400 == xy300",fontsize=16,color="magenta"];145 -> 225[label="",style="dashed", color="magenta", weight=3]; 145 -> 226[label="",style="dashed", color="magenta", weight=3]; 146 -> 33[label="",style="dashed", color="red", weight=0]; 146[label="xy400 == xy300",fontsize=16,color="magenta"];146 -> 227[label="",style="dashed", color="magenta", weight=3]; 146 -> 228[label="",style="dashed", color="magenta", weight=3]; 147 -> 34[label="",style="dashed", color="red", weight=0]; 147[label="xy400 == xy300",fontsize=16,color="magenta"];147 -> 229[label="",style="dashed", color="magenta", weight=3]; 147 -> 230[label="",style="dashed", color="magenta", weight=3]; 148 -> 35[label="",style="dashed", color="red", weight=0]; 148[label="xy400 == xy300",fontsize=16,color="magenta"];148 -> 231[label="",style="dashed", color="magenta", weight=3]; 148 -> 232[label="",style="dashed", color="magenta", weight=3]; 149 -> 36[label="",style="dashed", color="red", weight=0]; 149[label="xy400 == xy300",fontsize=16,color="magenta"];149 -> 233[label="",style="dashed", color="magenta", weight=3]; 149 -> 234[label="",style="dashed", color="magenta", weight=3]; 150 -> 23[label="",style="dashed", color="red", weight=0]; 150[label="xy400 == xy300",fontsize=16,color="magenta"];150 -> 235[label="",style="dashed", color="magenta", weight=3]; 150 -> 236[label="",style="dashed", color="magenta", weight=3]; 151 -> 24[label="",style="dashed", color="red", weight=0]; 151[label="xy400 == xy300",fontsize=16,color="magenta"];151 -> 237[label="",style="dashed", color="magenta", weight=3]; 151 -> 238[label="",style="dashed", color="magenta", weight=3]; 152 -> 25[label="",style="dashed", color="red", weight=0]; 152[label="xy400 == xy300",fontsize=16,color="magenta"];152 -> 239[label="",style="dashed", color="magenta", weight=3]; 152 -> 240[label="",style="dashed", color="magenta", weight=3]; 153 -> 26[label="",style="dashed", color="red", weight=0]; 153[label="xy400 == xy300",fontsize=16,color="magenta"];153 -> 241[label="",style="dashed", color="magenta", weight=3]; 153 -> 242[label="",style="dashed", color="magenta", weight=3]; 154 -> 27[label="",style="dashed", color="red", weight=0]; 154[label="xy400 == xy300",fontsize=16,color="magenta"];154 -> 243[label="",style="dashed", color="magenta", weight=3]; 154 -> 244[label="",style="dashed", color="magenta", weight=3]; 155 -> 28[label="",style="dashed", color="red", weight=0]; 155[label="xy400 == xy300",fontsize=16,color="magenta"];155 -> 245[label="",style="dashed", color="magenta", weight=3]; 155 -> 246[label="",style="dashed", color="magenta", weight=3]; 156 -> 29[label="",style="dashed", color="red", weight=0]; 156[label="xy400 == xy300",fontsize=16,color="magenta"];156 -> 247[label="",style="dashed", color="magenta", weight=3]; 156 -> 248[label="",style="dashed", color="magenta", weight=3]; 157 -> 30[label="",style="dashed", color="red", weight=0]; 157[label="xy400 == xy300",fontsize=16,color="magenta"];157 -> 249[label="",style="dashed", color="magenta", weight=3]; 157 -> 250[label="",style="dashed", color="magenta", weight=3]; 158 -> 31[label="",style="dashed", color="red", weight=0]; 158[label="xy400 == xy300",fontsize=16,color="magenta"];158 -> 251[label="",style="dashed", color="magenta", weight=3]; 158 -> 252[label="",style="dashed", color="magenta", weight=3]; 159 -> 32[label="",style="dashed", color="red", weight=0]; 159[label="xy400 == xy300",fontsize=16,color="magenta"];159 -> 253[label="",style="dashed", color="magenta", weight=3]; 159 -> 254[label="",style="dashed", color="magenta", weight=3]; 160 -> 33[label="",style="dashed", color="red", weight=0]; 160[label="xy400 == xy300",fontsize=16,color="magenta"];160 -> 255[label="",style="dashed", color="magenta", weight=3]; 160 -> 256[label="",style="dashed", color="magenta", weight=3]; 161 -> 34[label="",style="dashed", color="red", weight=0]; 161[label="xy400 == xy300",fontsize=16,color="magenta"];161 -> 257[label="",style="dashed", color="magenta", weight=3]; 161 -> 258[label="",style="dashed", color="magenta", weight=3]; 162 -> 35[label="",style="dashed", color="red", weight=0]; 162[label="xy400 == xy300",fontsize=16,color="magenta"];162 -> 259[label="",style="dashed", color="magenta", weight=3]; 162 -> 260[label="",style="dashed", color="magenta", weight=3]; 163 -> 36[label="",style="dashed", color="red", weight=0]; 163[label="xy400 == xy300",fontsize=16,color="magenta"];163 -> 261[label="",style="dashed", color="magenta", weight=3]; 163 -> 262[label="",style="dashed", color="magenta", weight=3]; 164[label="primEqNat xy400 xy300",fontsize=16,color="burlywood",shape="triangle"];820[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];164 -> 820[label="",style="solid", color="burlywood", weight=9]; 820 -> 263[label="",style="solid", color="burlywood", weight=3]; 821[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];164 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 264[label="",style="solid", color="burlywood", weight=3]; 165 -> 36[label="",style="dashed", color="red", weight=0]; 165[label="xy400 * xy301 == xy401 * xy300",fontsize=16,color="magenta"];165 -> 265[label="",style="dashed", color="magenta", weight=3]; 165 -> 266[label="",style="dashed", color="magenta", weight=3]; 166 -> 36[label="",style="dashed", color="red", weight=0]; 166[label="xy400 * xy301 == xy401 * xy300",fontsize=16,color="magenta"];166 -> 267[label="",style="dashed", color="magenta", weight=3]; 166 -> 268[label="",style="dashed", color="magenta", weight=3]; 167[label="xy400",fontsize=16,color="green",shape="box"];168[label="xy300",fontsize=16,color="green",shape="box"];284[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];822[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 295[label="",style="solid", color="blue", weight=3]; 823[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 296[label="",style="solid", color="blue", weight=3]; 824[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 297[label="",style="solid", color="blue", weight=3]; 825[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 298[label="",style="solid", color="blue", weight=3]; 826[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 299[label="",style="solid", color="blue", weight=3]; 827[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 300[label="",style="solid", color="blue", weight=3]; 828[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 301[label="",style="solid", color="blue", weight=3]; 829[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 302[label="",style="solid", color="blue", weight=3]; 830[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 303[label="",style="solid", color="blue", weight=3]; 831[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 304[label="",style="solid", color="blue", weight=3]; 832[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 305[label="",style="solid", color="blue", weight=3]; 833[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 306[label="",style="solid", color="blue", weight=3]; 834[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 307[label="",style="solid", color="blue", weight=3]; 835[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];284 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 308[label="",style="solid", color="blue", weight=3]; 285 -> 283[label="",style="dashed", color="red", weight=0]; 285[label="xy401 == xy301 && xy402 == xy302",fontsize=16,color="magenta"];285 -> 309[label="",style="dashed", color="magenta", weight=3]; 285 -> 310[label="",style="dashed", color="magenta", weight=3]; 283[label="xy20 && xy32",fontsize=16,color="burlywood",shape="triangle"];836[label="xy20/False",fontsize=10,color="white",style="solid",shape="box"];283 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 311[label="",style="solid", color="burlywood", weight=3]; 837[label="xy20/True",fontsize=10,color="white",style="solid",shape="box"];283 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 312[label="",style="solid", color="burlywood", weight=3]; 286[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];838[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 313[label="",style="solid", color="blue", weight=3]; 839[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 314[label="",style="solid", color="blue", weight=3]; 840[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 315[label="",style="solid", color="blue", weight=3]; 841[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 316[label="",style="solid", color="blue", weight=3]; 842[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 317[label="",style="solid", color="blue", weight=3]; 843[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 318[label="",style="solid", color="blue", weight=3]; 844[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 319[label="",style="solid", color="blue", weight=3]; 845[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 320[label="",style="solid", color="blue", weight=3]; 846[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 321[label="",style="solid", color="blue", weight=3]; 847[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 322[label="",style="solid", color="blue", weight=3]; 848[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 323[label="",style="solid", color="blue", weight=3]; 849[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 324[label="",style="solid", color="blue", weight=3]; 850[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 325[label="",style="solid", color="blue", weight=3]; 851[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 326[label="",style="solid", color="blue", weight=3]; 287[label="xy401 == xy301",fontsize=16,color="blue",shape="box"];852[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 327[label="",style="solid", color="blue", weight=3]; 853[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 328[label="",style="solid", color="blue", weight=3]; 854[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 329[label="",style="solid", color="blue", weight=3]; 855[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 330[label="",style="solid", color="blue", weight=3]; 856[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 331[label="",style="solid", color="blue", weight=3]; 857[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 332[label="",style="solid", color="blue", weight=3]; 858[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 333[label="",style="solid", color="blue", weight=3]; 859[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 334[label="",style="solid", color="blue", weight=3]; 860[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 335[label="",style="solid", color="blue", weight=3]; 861[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 336[label="",style="solid", color="blue", weight=3]; 862[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 337[label="",style="solid", color="blue", weight=3]; 863[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 338[label="",style="solid", color="blue", weight=3]; 864[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 339[label="",style="solid", color="blue", weight=3]; 865[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 340[label="",style="solid", color="blue", weight=3]; 185 -> 23[label="",style="dashed", color="red", weight=0]; 185[label="xy400 == xy300",fontsize=16,color="magenta"];185 -> 341[label="",style="dashed", color="magenta", weight=3]; 185 -> 342[label="",style="dashed", color="magenta", weight=3]; 186 -> 24[label="",style="dashed", color="red", weight=0]; 186[label="xy400 == xy300",fontsize=16,color="magenta"];186 -> 343[label="",style="dashed", color="magenta", weight=3]; 186 -> 344[label="",style="dashed", color="magenta", weight=3]; 187 -> 25[label="",style="dashed", color="red", weight=0]; 187[label="xy400 == xy300",fontsize=16,color="magenta"];187 -> 345[label="",style="dashed", color="magenta", weight=3]; 187 -> 346[label="",style="dashed", color="magenta", weight=3]; 188 -> 26[label="",style="dashed", color="red", weight=0]; 188[label="xy400 == xy300",fontsize=16,color="magenta"];188 -> 347[label="",style="dashed", color="magenta", weight=3]; 188 -> 348[label="",style="dashed", color="magenta", weight=3]; 189 -> 27[label="",style="dashed", color="red", weight=0]; 189[label="xy400 == xy300",fontsize=16,color="magenta"];189 -> 349[label="",style="dashed", color="magenta", weight=3]; 189 -> 350[label="",style="dashed", color="magenta", weight=3]; 190 -> 28[label="",style="dashed", color="red", weight=0]; 190[label="xy400 == xy300",fontsize=16,color="magenta"];190 -> 351[label="",style="dashed", color="magenta", weight=3]; 190 -> 352[label="",style="dashed", color="magenta", weight=3]; 191 -> 29[label="",style="dashed", color="red", weight=0]; 191[label="xy400 == xy300",fontsize=16,color="magenta"];191 -> 353[label="",style="dashed", color="magenta", weight=3]; 191 -> 354[label="",style="dashed", color="magenta", weight=3]; 192 -> 30[label="",style="dashed", color="red", weight=0]; 192[label="xy400 == xy300",fontsize=16,color="magenta"];192 -> 355[label="",style="dashed", color="magenta", weight=3]; 192 -> 356[label="",style="dashed", color="magenta", weight=3]; 193 -> 31[label="",style="dashed", color="red", weight=0]; 193[label="xy400 == xy300",fontsize=16,color="magenta"];193 -> 357[label="",style="dashed", color="magenta", weight=3]; 193 -> 358[label="",style="dashed", color="magenta", weight=3]; 194 -> 32[label="",style="dashed", color="red", weight=0]; 194[label="xy400 == xy300",fontsize=16,color="magenta"];194 -> 359[label="",style="dashed", color="magenta", weight=3]; 194 -> 360[label="",style="dashed", color="magenta", weight=3]; 195 -> 33[label="",style="dashed", color="red", weight=0]; 195[label="xy400 == xy300",fontsize=16,color="magenta"];195 -> 361[label="",style="dashed", color="magenta", weight=3]; 195 -> 362[label="",style="dashed", color="magenta", weight=3]; 196 -> 34[label="",style="dashed", color="red", weight=0]; 196[label="xy400 == xy300",fontsize=16,color="magenta"];196 -> 363[label="",style="dashed", color="magenta", weight=3]; 196 -> 364[label="",style="dashed", color="magenta", weight=3]; 197 -> 35[label="",style="dashed", color="red", weight=0]; 197[label="xy400 == xy300",fontsize=16,color="magenta"];197 -> 365[label="",style="dashed", color="magenta", weight=3]; 197 -> 366[label="",style="dashed", color="magenta", weight=3]; 198 -> 36[label="",style="dashed", color="red", weight=0]; 198[label="xy400 == xy300",fontsize=16,color="magenta"];198 -> 367[label="",style="dashed", color="magenta", weight=3]; 198 -> 368[label="",style="dashed", color="magenta", weight=3]; 288[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];866[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];288 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 369[label="",style="solid", color="blue", weight=3]; 867[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];288 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 370[label="",style="solid", color="blue", weight=3]; 289[label="xy401 == xy301",fontsize=16,color="blue",shape="box"];868[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 371[label="",style="solid", color="blue", weight=3]; 869[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 372[label="",style="solid", color="blue", weight=3]; 290[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];870[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 373[label="",style="solid", color="blue", weight=3]; 871[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 374[label="",style="solid", color="blue", weight=3]; 872[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 375[label="",style="solid", color="blue", weight=3]; 873[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 376[label="",style="solid", color="blue", weight=3]; 874[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 377[label="",style="solid", color="blue", weight=3]; 875[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 378[label="",style="solid", color="blue", weight=3]; 876[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 379[label="",style="solid", color="blue", weight=3]; 877[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 380[label="",style="solid", color="blue", weight=3]; 878[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 381[label="",style="solid", color="blue", weight=3]; 879[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 382[label="",style="solid", color="blue", weight=3]; 880[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 383[label="",style="solid", color="blue", weight=3]; 881[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 384[label="",style="solid", color="blue", weight=3]; 882[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 385[label="",style="solid", color="blue", weight=3]; 883[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 386[label="",style="solid", color="blue", weight=3]; 291 -> 35[label="",style="dashed", color="red", weight=0]; 291[label="xy401 == xy301",fontsize=16,color="magenta"];291 -> 387[label="",style="dashed", color="magenta", weight=3]; 291 -> 388[label="",style="dashed", color="magenta", weight=3]; 199[label="primEqInt (Pos (Succ xy4000)) (Pos xy300)",fontsize=16,color="burlywood",shape="box"];884[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];199 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 389[label="",style="solid", color="burlywood", weight=3]; 885[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];199 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 390[label="",style="solid", color="burlywood", weight=3]; 200[label="primEqInt (Pos (Succ xy4000)) (Neg xy300)",fontsize=16,color="black",shape="box"];200 -> 391[label="",style="solid", color="black", weight=3]; 201[label="primEqInt (Pos Zero) (Pos xy300)",fontsize=16,color="burlywood",shape="box"];886[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];201 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 392[label="",style="solid", color="burlywood", weight=3]; 887[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];201 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 393[label="",style="solid", color="burlywood", weight=3]; 202[label="primEqInt (Pos Zero) (Neg xy300)",fontsize=16,color="burlywood",shape="box"];888[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];202 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 394[label="",style="solid", color="burlywood", weight=3]; 889[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];202 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 395[label="",style="solid", color="burlywood", weight=3]; 203[label="primEqInt (Neg (Succ xy4000)) (Pos xy300)",fontsize=16,color="black",shape="box"];203 -> 396[label="",style="solid", color="black", weight=3]; 204[label="primEqInt (Neg (Succ xy4000)) (Neg xy300)",fontsize=16,color="burlywood",shape="box"];890[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];204 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 397[label="",style="solid", color="burlywood", weight=3]; 891[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];204 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 398[label="",style="solid", color="burlywood", weight=3]; 205[label="primEqInt (Neg Zero) (Pos xy300)",fontsize=16,color="burlywood",shape="box"];892[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];205 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 399[label="",style="solid", color="burlywood", weight=3]; 893[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];205 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 400[label="",style="solid", color="burlywood", weight=3]; 206[label="primEqInt (Neg Zero) (Neg xy300)",fontsize=16,color="burlywood",shape="box"];894[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];206 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 401[label="",style="solid", color="burlywood", weight=3]; 895[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];206 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 402[label="",style="solid", color="burlywood", weight=3]; 207[label="xy400",fontsize=16,color="green",shape="box"];208[label="xy300",fontsize=16,color="green",shape="box"];209[label="xy400",fontsize=16,color="green",shape="box"];210[label="xy300",fontsize=16,color="green",shape="box"];211[label="xy400",fontsize=16,color="green",shape="box"];212[label="xy300",fontsize=16,color="green",shape="box"];213[label="xy400",fontsize=16,color="green",shape="box"];214[label="xy300",fontsize=16,color="green",shape="box"];215[label="xy400",fontsize=16,color="green",shape="box"];216[label="xy300",fontsize=16,color="green",shape="box"];217[label="xy400",fontsize=16,color="green",shape="box"];218[label="xy300",fontsize=16,color="green",shape="box"];219[label="xy400",fontsize=16,color="green",shape="box"];220[label="xy300",fontsize=16,color="green",shape="box"];221[label="xy400",fontsize=16,color="green",shape="box"];222[label="xy300",fontsize=16,color="green",shape="box"];223[label="xy400",fontsize=16,color="green",shape="box"];224[label="xy300",fontsize=16,color="green",shape="box"];225[label="xy400",fontsize=16,color="green",shape="box"];226[label="xy300",fontsize=16,color="green",shape="box"];227[label="xy400",fontsize=16,color="green",shape="box"];228[label="xy300",fontsize=16,color="green",shape="box"];229[label="xy400",fontsize=16,color="green",shape="box"];230[label="xy300",fontsize=16,color="green",shape="box"];231[label="xy400",fontsize=16,color="green",shape="box"];232[label="xy300",fontsize=16,color="green",shape="box"];233[label="xy400",fontsize=16,color="green",shape="box"];234[label="xy300",fontsize=16,color="green",shape="box"];235[label="xy400",fontsize=16,color="green",shape="box"];236[label="xy300",fontsize=16,color="green",shape="box"];237[label="xy400",fontsize=16,color="green",shape="box"];238[label="xy300",fontsize=16,color="green",shape="box"];239[label="xy400",fontsize=16,color="green",shape="box"];240[label="xy300",fontsize=16,color="green",shape="box"];241[label="xy400",fontsize=16,color="green",shape="box"];242[label="xy300",fontsize=16,color="green",shape="box"];243[label="xy400",fontsize=16,color="green",shape="box"];244[label="xy300",fontsize=16,color="green",shape="box"];245[label="xy400",fontsize=16,color="green",shape="box"];246[label="xy300",fontsize=16,color="green",shape="box"];247[label="xy400",fontsize=16,color="green",shape="box"];248[label="xy300",fontsize=16,color="green",shape="box"];249[label="xy400",fontsize=16,color="green",shape="box"];250[label="xy300",fontsize=16,color="green",shape="box"];251[label="xy400",fontsize=16,color="green",shape="box"];252[label="xy300",fontsize=16,color="green",shape="box"];253[label="xy400",fontsize=16,color="green",shape="box"];254[label="xy300",fontsize=16,color="green",shape="box"];255[label="xy400",fontsize=16,color="green",shape="box"];256[label="xy300",fontsize=16,color="green",shape="box"];257[label="xy400",fontsize=16,color="green",shape="box"];258[label="xy300",fontsize=16,color="green",shape="box"];259[label="xy400",fontsize=16,color="green",shape="box"];260[label="xy300",fontsize=16,color="green",shape="box"];261[label="xy400",fontsize=16,color="green",shape="box"];262[label="xy300",fontsize=16,color="green",shape="box"];263[label="primEqNat (Succ xy4000) xy300",fontsize=16,color="burlywood",shape="box"];896[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];263 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 403[label="",style="solid", color="burlywood", weight=3]; 897[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];263 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 404[label="",style="solid", color="burlywood", weight=3]; 264[label="primEqNat Zero xy300",fontsize=16,color="burlywood",shape="box"];898[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];264 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 405[label="",style="solid", color="burlywood", weight=3]; 899[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];264 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 406[label="",style="solid", color="burlywood", weight=3]; 265[label="xy400 * xy301",fontsize=16,color="black",shape="triangle"];265 -> 407[label="",style="solid", color="black", weight=3]; 266 -> 265[label="",style="dashed", color="red", weight=0]; 266[label="xy401 * xy300",fontsize=16,color="magenta"];266 -> 408[label="",style="dashed", color="magenta", weight=3]; 266 -> 409[label="",style="dashed", color="magenta", weight=3]; 267 -> 265[label="",style="dashed", color="red", weight=0]; 267[label="xy400 * xy301",fontsize=16,color="magenta"];267 -> 410[label="",style="dashed", color="magenta", weight=3]; 267 -> 411[label="",style="dashed", color="magenta", weight=3]; 268 -> 265[label="",style="dashed", color="red", weight=0]; 268[label="xy401 * xy300",fontsize=16,color="magenta"];268 -> 412[label="",style="dashed", color="magenta", weight=3]; 268 -> 413[label="",style="dashed", color="magenta", weight=3]; 295 -> 23[label="",style="dashed", color="red", weight=0]; 295[label="xy400 == xy300",fontsize=16,color="magenta"];295 -> 414[label="",style="dashed", color="magenta", weight=3]; 295 -> 415[label="",style="dashed", color="magenta", weight=3]; 296 -> 24[label="",style="dashed", color="red", weight=0]; 296[label="xy400 == xy300",fontsize=16,color="magenta"];296 -> 416[label="",style="dashed", color="magenta", weight=3]; 296 -> 417[label="",style="dashed", color="magenta", weight=3]; 297 -> 25[label="",style="dashed", color="red", weight=0]; 297[label="xy400 == xy300",fontsize=16,color="magenta"];297 -> 418[label="",style="dashed", color="magenta", weight=3]; 297 -> 419[label="",style="dashed", color="magenta", weight=3]; 298 -> 26[label="",style="dashed", color="red", weight=0]; 298[label="xy400 == xy300",fontsize=16,color="magenta"];298 -> 420[label="",style="dashed", color="magenta", weight=3]; 298 -> 421[label="",style="dashed", color="magenta", weight=3]; 299 -> 27[label="",style="dashed", color="red", weight=0]; 299[label="xy400 == xy300",fontsize=16,color="magenta"];299 -> 422[label="",style="dashed", color="magenta", weight=3]; 299 -> 423[label="",style="dashed", color="magenta", weight=3]; 300 -> 28[label="",style="dashed", color="red", weight=0]; 300[label="xy400 == xy300",fontsize=16,color="magenta"];300 -> 424[label="",style="dashed", color="magenta", weight=3]; 300 -> 425[label="",style="dashed", color="magenta", weight=3]; 301 -> 29[label="",style="dashed", color="red", weight=0]; 301[label="xy400 == xy300",fontsize=16,color="magenta"];301 -> 426[label="",style="dashed", color="magenta", weight=3]; 301 -> 427[label="",style="dashed", color="magenta", weight=3]; 302 -> 30[label="",style="dashed", color="red", weight=0]; 302[label="xy400 == xy300",fontsize=16,color="magenta"];302 -> 428[label="",style="dashed", color="magenta", weight=3]; 302 -> 429[label="",style="dashed", color="magenta", weight=3]; 303 -> 31[label="",style="dashed", color="red", weight=0]; 303[label="xy400 == xy300",fontsize=16,color="magenta"];303 -> 430[label="",style="dashed", color="magenta", weight=3]; 303 -> 431[label="",style="dashed", color="magenta", weight=3]; 304 -> 32[label="",style="dashed", color="red", weight=0]; 304[label="xy400 == xy300",fontsize=16,color="magenta"];304 -> 432[label="",style="dashed", color="magenta", weight=3]; 304 -> 433[label="",style="dashed", color="magenta", weight=3]; 305 -> 33[label="",style="dashed", color="red", weight=0]; 305[label="xy400 == xy300",fontsize=16,color="magenta"];305 -> 434[label="",style="dashed", color="magenta", weight=3]; 305 -> 435[label="",style="dashed", color="magenta", weight=3]; 306 -> 34[label="",style="dashed", color="red", weight=0]; 306[label="xy400 == xy300",fontsize=16,color="magenta"];306 -> 436[label="",style="dashed", color="magenta", weight=3]; 306 -> 437[label="",style="dashed", color="magenta", weight=3]; 307 -> 35[label="",style="dashed", color="red", weight=0]; 307[label="xy400 == xy300",fontsize=16,color="magenta"];307 -> 438[label="",style="dashed", color="magenta", weight=3]; 307 -> 439[label="",style="dashed", color="magenta", weight=3]; 308 -> 36[label="",style="dashed", color="red", weight=0]; 308[label="xy400 == xy300",fontsize=16,color="magenta"];308 -> 440[label="",style="dashed", color="magenta", weight=3]; 308 -> 441[label="",style="dashed", color="magenta", weight=3]; 309[label="xy401 == xy301",fontsize=16,color="blue",shape="box"];900[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 442[label="",style="solid", color="blue", weight=3]; 901[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 443[label="",style="solid", color="blue", weight=3]; 902[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 444[label="",style="solid", color="blue", weight=3]; 903[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 445[label="",style="solid", color="blue", weight=3]; 904[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 446[label="",style="solid", color="blue", weight=3]; 905[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 447[label="",style="solid", color="blue", weight=3]; 906[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 448[label="",style="solid", color="blue", weight=3]; 907[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 449[label="",style="solid", color="blue", weight=3]; 908[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 450[label="",style="solid", color="blue", weight=3]; 909[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 451[label="",style="solid", color="blue", weight=3]; 910[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 452[label="",style="solid", color="blue", weight=3]; 911[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 453[label="",style="solid", color="blue", weight=3]; 912[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 454[label="",style="solid", color="blue", weight=3]; 913[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 455[label="",style="solid", color="blue", weight=3]; 310[label="xy402 == xy302",fontsize=16,color="blue",shape="box"];914[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 456[label="",style="solid", color="blue", weight=3]; 915[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 457[label="",style="solid", color="blue", weight=3]; 916[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 458[label="",style="solid", color="blue", weight=3]; 917[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 459[label="",style="solid", color="blue", weight=3]; 918[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 460[label="",style="solid", color="blue", weight=3]; 919[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 461[label="",style="solid", color="blue", weight=3]; 920[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 462[label="",style="solid", color="blue", weight=3]; 921[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 463[label="",style="solid", color="blue", weight=3]; 922[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 464[label="",style="solid", color="blue", weight=3]; 923[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 465[label="",style="solid", color="blue", weight=3]; 924[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 466[label="",style="solid", color="blue", weight=3]; 925[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 467[label="",style="solid", color="blue", weight=3]; 926[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 468[label="",style="solid", color="blue", weight=3]; 927[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 469[label="",style="solid", color="blue", weight=3]; 311[label="False && xy32",fontsize=16,color="black",shape="box"];311 -> 470[label="",style="solid", color="black", weight=3]; 312[label="True && xy32",fontsize=16,color="black",shape="box"];312 -> 471[label="",style="solid", color="black", weight=3]; 313 -> 23[label="",style="dashed", color="red", weight=0]; 313[label="xy400 == xy300",fontsize=16,color="magenta"];313 -> 472[label="",style="dashed", color="magenta", weight=3]; 313 -> 473[label="",style="dashed", color="magenta", weight=3]; 314 -> 24[label="",style="dashed", color="red", weight=0]; 314[label="xy400 == xy300",fontsize=16,color="magenta"];314 -> 474[label="",style="dashed", color="magenta", weight=3]; 314 -> 475[label="",style="dashed", color="magenta", weight=3]; 315 -> 25[label="",style="dashed", color="red", weight=0]; 315[label="xy400 == xy300",fontsize=16,color="magenta"];315 -> 476[label="",style="dashed", color="magenta", weight=3]; 315 -> 477[label="",style="dashed", color="magenta", weight=3]; 316 -> 26[label="",style="dashed", color="red", weight=0]; 316[label="xy400 == xy300",fontsize=16,color="magenta"];316 -> 478[label="",style="dashed", color="magenta", weight=3]; 316 -> 479[label="",style="dashed", color="magenta", weight=3]; 317 -> 27[label="",style="dashed", color="red", weight=0]; 317[label="xy400 == xy300",fontsize=16,color="magenta"];317 -> 480[label="",style="dashed", color="magenta", weight=3]; 317 -> 481[label="",style="dashed", color="magenta", weight=3]; 318 -> 28[label="",style="dashed", color="red", weight=0]; 318[label="xy400 == xy300",fontsize=16,color="magenta"];318 -> 482[label="",style="dashed", color="magenta", weight=3]; 318 -> 483[label="",style="dashed", color="magenta", weight=3]; 319 -> 29[label="",style="dashed", color="red", weight=0]; 319[label="xy400 == xy300",fontsize=16,color="magenta"];319 -> 484[label="",style="dashed", color="magenta", weight=3]; 319 -> 485[label="",style="dashed", color="magenta", weight=3]; 320 -> 30[label="",style="dashed", color="red", weight=0]; 320[label="xy400 == xy300",fontsize=16,color="magenta"];320 -> 486[label="",style="dashed", color="magenta", weight=3]; 320 -> 487[label="",style="dashed", color="magenta", weight=3]; 321 -> 31[label="",style="dashed", color="red", weight=0]; 321[label="xy400 == xy300",fontsize=16,color="magenta"];321 -> 488[label="",style="dashed", color="magenta", weight=3]; 321 -> 489[label="",style="dashed", color="magenta", weight=3]; 322 -> 32[label="",style="dashed", color="red", weight=0]; 322[label="xy400 == xy300",fontsize=16,color="magenta"];322 -> 490[label="",style="dashed", color="magenta", weight=3]; 322 -> 491[label="",style="dashed", color="magenta", weight=3]; 323 -> 33[label="",style="dashed", color="red", weight=0]; 323[label="xy400 == xy300",fontsize=16,color="magenta"];323 -> 492[label="",style="dashed", color="magenta", weight=3]; 323 -> 493[label="",style="dashed", color="magenta", weight=3]; 324 -> 34[label="",style="dashed", color="red", weight=0]; 324[label="xy400 == xy300",fontsize=16,color="magenta"];324 -> 494[label="",style="dashed", color="magenta", weight=3]; 324 -> 495[label="",style="dashed", color="magenta", weight=3]; 325 -> 35[label="",style="dashed", color="red", weight=0]; 325[label="xy400 == xy300",fontsize=16,color="magenta"];325 -> 496[label="",style="dashed", color="magenta", weight=3]; 325 -> 497[label="",style="dashed", color="magenta", weight=3]; 326 -> 36[label="",style="dashed", color="red", weight=0]; 326[label="xy400 == xy300",fontsize=16,color="magenta"];326 -> 498[label="",style="dashed", color="magenta", weight=3]; 326 -> 499[label="",style="dashed", color="magenta", weight=3]; 327 -> 23[label="",style="dashed", color="red", weight=0]; 327[label="xy401 == xy301",fontsize=16,color="magenta"];327 -> 500[label="",style="dashed", color="magenta", weight=3]; 327 -> 501[label="",style="dashed", color="magenta", weight=3]; 328 -> 24[label="",style="dashed", color="red", weight=0]; 328[label="xy401 == xy301",fontsize=16,color="magenta"];328 -> 502[label="",style="dashed", color="magenta", weight=3]; 328 -> 503[label="",style="dashed", color="magenta", weight=3]; 329 -> 25[label="",style="dashed", color="red", weight=0]; 329[label="xy401 == xy301",fontsize=16,color="magenta"];329 -> 504[label="",style="dashed", color="magenta", weight=3]; 329 -> 505[label="",style="dashed", color="magenta", weight=3]; 330 -> 26[label="",style="dashed", color="red", weight=0]; 330[label="xy401 == xy301",fontsize=16,color="magenta"];330 -> 506[label="",style="dashed", color="magenta", weight=3]; 330 -> 507[label="",style="dashed", color="magenta", weight=3]; 331 -> 27[label="",style="dashed", color="red", weight=0]; 331[label="xy401 == xy301",fontsize=16,color="magenta"];331 -> 508[label="",style="dashed", color="magenta", weight=3]; 331 -> 509[label="",style="dashed", color="magenta", weight=3]; 332 -> 28[label="",style="dashed", color="red", weight=0]; 332[label="xy401 == xy301",fontsize=16,color="magenta"];332 -> 510[label="",style="dashed", color="magenta", weight=3]; 332 -> 511[label="",style="dashed", color="magenta", weight=3]; 333 -> 29[label="",style="dashed", color="red", weight=0]; 333[label="xy401 == xy301",fontsize=16,color="magenta"];333 -> 512[label="",style="dashed", color="magenta", weight=3]; 333 -> 513[label="",style="dashed", color="magenta", weight=3]; 334 -> 30[label="",style="dashed", color="red", weight=0]; 334[label="xy401 == xy301",fontsize=16,color="magenta"];334 -> 514[label="",style="dashed", color="magenta", weight=3]; 334 -> 515[label="",style="dashed", color="magenta", weight=3]; 335 -> 31[label="",style="dashed", color="red", weight=0]; 335[label="xy401 == xy301",fontsize=16,color="magenta"];335 -> 516[label="",style="dashed", color="magenta", weight=3]; 335 -> 517[label="",style="dashed", color="magenta", weight=3]; 336 -> 32[label="",style="dashed", color="red", weight=0]; 336[label="xy401 == xy301",fontsize=16,color="magenta"];336 -> 518[label="",style="dashed", color="magenta", weight=3]; 336 -> 519[label="",style="dashed", color="magenta", weight=3]; 337 -> 33[label="",style="dashed", color="red", weight=0]; 337[label="xy401 == xy301",fontsize=16,color="magenta"];337 -> 520[label="",style="dashed", color="magenta", weight=3]; 337 -> 521[label="",style="dashed", color="magenta", weight=3]; 338 -> 34[label="",style="dashed", color="red", weight=0]; 338[label="xy401 == xy301",fontsize=16,color="magenta"];338 -> 522[label="",style="dashed", color="magenta", weight=3]; 338 -> 523[label="",style="dashed", color="magenta", weight=3]; 339 -> 35[label="",style="dashed", color="red", weight=0]; 339[label="xy401 == xy301",fontsize=16,color="magenta"];339 -> 524[label="",style="dashed", color="magenta", weight=3]; 339 -> 525[label="",style="dashed", color="magenta", weight=3]; 340 -> 36[label="",style="dashed", color="red", weight=0]; 340[label="xy401 == xy301",fontsize=16,color="magenta"];340 -> 526[label="",style="dashed", color="magenta", weight=3]; 340 -> 527[label="",style="dashed", color="magenta", weight=3]; 341[label="xy400",fontsize=16,color="green",shape="box"];342[label="xy300",fontsize=16,color="green",shape="box"];343[label="xy400",fontsize=16,color="green",shape="box"];344[label="xy300",fontsize=16,color="green",shape="box"];345[label="xy400",fontsize=16,color="green",shape="box"];346[label="xy300",fontsize=16,color="green",shape="box"];347[label="xy400",fontsize=16,color="green",shape="box"];348[label="xy300",fontsize=16,color="green",shape="box"];349[label="xy400",fontsize=16,color="green",shape="box"];350[label="xy300",fontsize=16,color="green",shape="box"];351[label="xy400",fontsize=16,color="green",shape="box"];352[label="xy300",fontsize=16,color="green",shape="box"];353[label="xy400",fontsize=16,color="green",shape="box"];354[label="xy300",fontsize=16,color="green",shape="box"];355[label="xy400",fontsize=16,color="green",shape="box"];356[label="xy300",fontsize=16,color="green",shape="box"];357[label="xy400",fontsize=16,color="green",shape="box"];358[label="xy300",fontsize=16,color="green",shape="box"];359[label="xy400",fontsize=16,color="green",shape="box"];360[label="xy300",fontsize=16,color="green",shape="box"];361[label="xy400",fontsize=16,color="green",shape="box"];362[label="xy300",fontsize=16,color="green",shape="box"];363[label="xy400",fontsize=16,color="green",shape="box"];364[label="xy300",fontsize=16,color="green",shape="box"];365[label="xy400",fontsize=16,color="green",shape="box"];366[label="xy300",fontsize=16,color="green",shape="box"];367[label="xy400",fontsize=16,color="green",shape="box"];368[label="xy300",fontsize=16,color="green",shape="box"];369 -> 27[label="",style="dashed", color="red", weight=0]; 369[label="xy400 == xy300",fontsize=16,color="magenta"];369 -> 528[label="",style="dashed", color="magenta", weight=3]; 369 -> 529[label="",style="dashed", color="magenta", weight=3]; 370 -> 36[label="",style="dashed", color="red", weight=0]; 370[label="xy400 == xy300",fontsize=16,color="magenta"];370 -> 530[label="",style="dashed", color="magenta", weight=3]; 370 -> 531[label="",style="dashed", color="magenta", weight=3]; 371 -> 27[label="",style="dashed", color="red", weight=0]; 371[label="xy401 == xy301",fontsize=16,color="magenta"];371 -> 532[label="",style="dashed", color="magenta", weight=3]; 371 -> 533[label="",style="dashed", color="magenta", weight=3]; 372 -> 36[label="",style="dashed", color="red", weight=0]; 372[label="xy401 == xy301",fontsize=16,color="magenta"];372 -> 534[label="",style="dashed", color="magenta", weight=3]; 372 -> 535[label="",style="dashed", color="magenta", weight=3]; 373 -> 23[label="",style="dashed", color="red", weight=0]; 373[label="xy400 == xy300",fontsize=16,color="magenta"];373 -> 536[label="",style="dashed", color="magenta", weight=3]; 373 -> 537[label="",style="dashed", color="magenta", weight=3]; 374 -> 24[label="",style="dashed", color="red", weight=0]; 374[label="xy400 == xy300",fontsize=16,color="magenta"];374 -> 538[label="",style="dashed", color="magenta", weight=3]; 374 -> 539[label="",style="dashed", color="magenta", weight=3]; 375 -> 25[label="",style="dashed", color="red", weight=0]; 375[label="xy400 == xy300",fontsize=16,color="magenta"];375 -> 540[label="",style="dashed", color="magenta", weight=3]; 375 -> 541[label="",style="dashed", color="magenta", weight=3]; 376 -> 26[label="",style="dashed", color="red", weight=0]; 376[label="xy400 == xy300",fontsize=16,color="magenta"];376 -> 542[label="",style="dashed", color="magenta", weight=3]; 376 -> 543[label="",style="dashed", color="magenta", weight=3]; 377 -> 27[label="",style="dashed", color="red", weight=0]; 377[label="xy400 == xy300",fontsize=16,color="magenta"];377 -> 544[label="",style="dashed", color="magenta", weight=3]; 377 -> 545[label="",style="dashed", color="magenta", weight=3]; 378 -> 28[label="",style="dashed", color="red", weight=0]; 378[label="xy400 == xy300",fontsize=16,color="magenta"];378 -> 546[label="",style="dashed", color="magenta", weight=3]; 378 -> 547[label="",style="dashed", color="magenta", weight=3]; 379 -> 29[label="",style="dashed", color="red", weight=0]; 379[label="xy400 == xy300",fontsize=16,color="magenta"];379 -> 548[label="",style="dashed", color="magenta", weight=3]; 379 -> 549[label="",style="dashed", color="magenta", weight=3]; 380 -> 30[label="",style="dashed", color="red", weight=0]; 380[label="xy400 == xy300",fontsize=16,color="magenta"];380 -> 550[label="",style="dashed", color="magenta", weight=3]; 380 -> 551[label="",style="dashed", color="magenta", weight=3]; 381 -> 31[label="",style="dashed", color="red", weight=0]; 381[label="xy400 == xy300",fontsize=16,color="magenta"];381 -> 552[label="",style="dashed", color="magenta", weight=3]; 381 -> 553[label="",style="dashed", color="magenta", weight=3]; 382 -> 32[label="",style="dashed", color="red", weight=0]; 382[label="xy400 == xy300",fontsize=16,color="magenta"];382 -> 554[label="",style="dashed", color="magenta", weight=3]; 382 -> 555[label="",style="dashed", color="magenta", weight=3]; 383 -> 33[label="",style="dashed", color="red", weight=0]; 383[label="xy400 == xy300",fontsize=16,color="magenta"];383 -> 556[label="",style="dashed", color="magenta", weight=3]; 383 -> 557[label="",style="dashed", color="magenta", weight=3]; 384 -> 34[label="",style="dashed", color="red", weight=0]; 384[label="xy400 == xy300",fontsize=16,color="magenta"];384 -> 558[label="",style="dashed", color="magenta", weight=3]; 384 -> 559[label="",style="dashed", color="magenta", weight=3]; 385 -> 35[label="",style="dashed", color="red", weight=0]; 385[label="xy400 == xy300",fontsize=16,color="magenta"];385 -> 560[label="",style="dashed", color="magenta", weight=3]; 385 -> 561[label="",style="dashed", color="magenta", weight=3]; 386 -> 36[label="",style="dashed", color="red", weight=0]; 386[label="xy400 == xy300",fontsize=16,color="magenta"];386 -> 562[label="",style="dashed", color="magenta", weight=3]; 386 -> 563[label="",style="dashed", color="magenta", weight=3]; 387[label="xy401",fontsize=16,color="green",shape="box"];388[label="xy301",fontsize=16,color="green",shape="box"];389[label="primEqInt (Pos (Succ xy4000)) (Pos (Succ xy3000))",fontsize=16,color="black",shape="box"];389 -> 564[label="",style="solid", color="black", weight=3]; 390[label="primEqInt (Pos (Succ xy4000)) (Pos Zero)",fontsize=16,color="black",shape="box"];390 -> 565[label="",style="solid", color="black", weight=3]; 391[label="False",fontsize=16,color="green",shape="box"];392[label="primEqInt (Pos Zero) (Pos (Succ xy3000))",fontsize=16,color="black",shape="box"];392 -> 566[label="",style="solid", color="black", weight=3]; 393[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];393 -> 567[label="",style="solid", color="black", weight=3]; 394[label="primEqInt (Pos Zero) (Neg (Succ xy3000))",fontsize=16,color="black",shape="box"];394 -> 568[label="",style="solid", color="black", weight=3]; 395[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];395 -> 569[label="",style="solid", color="black", weight=3]; 396[label="False",fontsize=16,color="green",shape="box"];397[label="primEqInt (Neg (Succ xy4000)) (Neg (Succ xy3000))",fontsize=16,color="black",shape="box"];397 -> 570[label="",style="solid", color="black", weight=3]; 398[label="primEqInt (Neg (Succ xy4000)) (Neg Zero)",fontsize=16,color="black",shape="box"];398 -> 571[label="",style="solid", color="black", weight=3]; 399[label="primEqInt (Neg Zero) (Pos (Succ xy3000))",fontsize=16,color="black",shape="box"];399 -> 572[label="",style="solid", color="black", weight=3]; 400[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];400 -> 573[label="",style="solid", color="black", weight=3]; 401[label="primEqInt (Neg Zero) (Neg (Succ xy3000))",fontsize=16,color="black",shape="box"];401 -> 574[label="",style="solid", color="black", weight=3]; 402[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];402 -> 575[label="",style="solid", color="black", weight=3]; 403[label="primEqNat (Succ xy4000) (Succ xy3000)",fontsize=16,color="black",shape="box"];403 -> 576[label="",style="solid", color="black", weight=3]; 404[label="primEqNat (Succ xy4000) Zero",fontsize=16,color="black",shape="box"];404 -> 577[label="",style="solid", color="black", weight=3]; 405[label="primEqNat Zero (Succ xy3000)",fontsize=16,color="black",shape="box"];405 -> 578[label="",style="solid", color="black", weight=3]; 406[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];406 -> 579[label="",style="solid", color="black", weight=3]; 407[label="primMulInt xy400 xy301",fontsize=16,color="burlywood",shape="box"];928[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];407 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 580[label="",style="solid", color="burlywood", weight=3]; 929[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];407 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 581[label="",style="solid", color="burlywood", weight=3]; 408[label="xy300",fontsize=16,color="green",shape="box"];409[label="xy401",fontsize=16,color="green",shape="box"];410[label="xy301",fontsize=16,color="green",shape="box"];411[label="xy400",fontsize=16,color="green",shape="box"];412[label="xy300",fontsize=16,color="green",shape="box"];413[label="xy401",fontsize=16,color="green",shape="box"];414[label="xy400",fontsize=16,color="green",shape="box"];415[label="xy300",fontsize=16,color="green",shape="box"];416[label="xy400",fontsize=16,color="green",shape="box"];417[label="xy300",fontsize=16,color="green",shape="box"];418[label="xy400",fontsize=16,color="green",shape="box"];419[label="xy300",fontsize=16,color="green",shape="box"];420[label="xy400",fontsize=16,color="green",shape="box"];421[label="xy300",fontsize=16,color="green",shape="box"];422[label="xy400",fontsize=16,color="green",shape="box"];423[label="xy300",fontsize=16,color="green",shape="box"];424[label="xy400",fontsize=16,color="green",shape="box"];425[label="xy300",fontsize=16,color="green",shape="box"];426[label="xy400",fontsize=16,color="green",shape="box"];427[label="xy300",fontsize=16,color="green",shape="box"];428[label="xy400",fontsize=16,color="green",shape="box"];429[label="xy300",fontsize=16,color="green",shape="box"];430[label="xy400",fontsize=16,color="green",shape="box"];431[label="xy300",fontsize=16,color="green",shape="box"];432[label="xy400",fontsize=16,color="green",shape="box"];433[label="xy300",fontsize=16,color="green",shape="box"];434[label="xy400",fontsize=16,color="green",shape="box"];435[label="xy300",fontsize=16,color="green",shape="box"];436[label="xy400",fontsize=16,color="green",shape="box"];437[label="xy300",fontsize=16,color="green",shape="box"];438[label="xy400",fontsize=16,color="green",shape="box"];439[label="xy300",fontsize=16,color="green",shape="box"];440[label="xy400",fontsize=16,color="green",shape="box"];441[label="xy300",fontsize=16,color="green",shape="box"];442 -> 23[label="",style="dashed", color="red", weight=0]; 442[label="xy401 == xy301",fontsize=16,color="magenta"];442 -> 582[label="",style="dashed", color="magenta", weight=3]; 442 -> 583[label="",style="dashed", color="magenta", weight=3]; 443 -> 24[label="",style="dashed", color="red", weight=0]; 443[label="xy401 == xy301",fontsize=16,color="magenta"];443 -> 584[label="",style="dashed", color="magenta", weight=3]; 443 -> 585[label="",style="dashed", color="magenta", weight=3]; 444 -> 25[label="",style="dashed", color="red", weight=0]; 444[label="xy401 == xy301",fontsize=16,color="magenta"];444 -> 586[label="",style="dashed", color="magenta", weight=3]; 444 -> 587[label="",style="dashed", color="magenta", weight=3]; 445 -> 26[label="",style="dashed", color="red", weight=0]; 445[label="xy401 == xy301",fontsize=16,color="magenta"];445 -> 588[label="",style="dashed", color="magenta", weight=3]; 445 -> 589[label="",style="dashed", color="magenta", weight=3]; 446 -> 27[label="",style="dashed", color="red", weight=0]; 446[label="xy401 == xy301",fontsize=16,color="magenta"];446 -> 590[label="",style="dashed", color="magenta", weight=3]; 446 -> 591[label="",style="dashed", color="magenta", weight=3]; 447 -> 28[label="",style="dashed", color="red", weight=0]; 447[label="xy401 == xy301",fontsize=16,color="magenta"];447 -> 592[label="",style="dashed", color="magenta", weight=3]; 447 -> 593[label="",style="dashed", color="magenta", weight=3]; 448 -> 29[label="",style="dashed", color="red", weight=0]; 448[label="xy401 == xy301",fontsize=16,color="magenta"];448 -> 594[label="",style="dashed", color="magenta", weight=3]; 448 -> 595[label="",style="dashed", color="magenta", weight=3]; 449 -> 30[label="",style="dashed", color="red", weight=0]; 449[label="xy401 == xy301",fontsize=16,color="magenta"];449 -> 596[label="",style="dashed", color="magenta", weight=3]; 449 -> 597[label="",style="dashed", color="magenta", weight=3]; 450 -> 31[label="",style="dashed", color="red", weight=0]; 450[label="xy401 == xy301",fontsize=16,color="magenta"];450 -> 598[label="",style="dashed", color="magenta", weight=3]; 450 -> 599[label="",style="dashed", color="magenta", weight=3]; 451 -> 32[label="",style="dashed", color="red", weight=0]; 451[label="xy401 == xy301",fontsize=16,color="magenta"];451 -> 600[label="",style="dashed", color="magenta", weight=3]; 451 -> 601[label="",style="dashed", color="magenta", weight=3]; 452 -> 33[label="",style="dashed", color="red", weight=0]; 452[label="xy401 == xy301",fontsize=16,color="magenta"];452 -> 602[label="",style="dashed", color="magenta", weight=3]; 452 -> 603[label="",style="dashed", color="magenta", weight=3]; 453 -> 34[label="",style="dashed", color="red", weight=0]; 453[label="xy401 == xy301",fontsize=16,color="magenta"];453 -> 604[label="",style="dashed", color="magenta", weight=3]; 453 -> 605[label="",style="dashed", color="magenta", weight=3]; 454 -> 35[label="",style="dashed", color="red", weight=0]; 454[label="xy401 == xy301",fontsize=16,color="magenta"];454 -> 606[label="",style="dashed", color="magenta", weight=3]; 454 -> 607[label="",style="dashed", color="magenta", weight=3]; 455 -> 36[label="",style="dashed", color="red", weight=0]; 455[label="xy401 == xy301",fontsize=16,color="magenta"];455 -> 608[label="",style="dashed", color="magenta", weight=3]; 455 -> 609[label="",style="dashed", color="magenta", weight=3]; 456 -> 23[label="",style="dashed", color="red", weight=0]; 456[label="xy402 == xy302",fontsize=16,color="magenta"];456 -> 610[label="",style="dashed", color="magenta", weight=3]; 456 -> 611[label="",style="dashed", color="magenta", weight=3]; 457 -> 24[label="",style="dashed", color="red", weight=0]; 457[label="xy402 == xy302",fontsize=16,color="magenta"];457 -> 612[label="",style="dashed", color="magenta", weight=3]; 457 -> 613[label="",style="dashed", color="magenta", weight=3]; 458 -> 25[label="",style="dashed", color="red", weight=0]; 458[label="xy402 == xy302",fontsize=16,color="magenta"];458 -> 614[label="",style="dashed", color="magenta", weight=3]; 458 -> 615[label="",style="dashed", color="magenta", weight=3]; 459 -> 26[label="",style="dashed", color="red", weight=0]; 459[label="xy402 == xy302",fontsize=16,color="magenta"];459 -> 616[label="",style="dashed", color="magenta", weight=3]; 459 -> 617[label="",style="dashed", color="magenta", weight=3]; 460 -> 27[label="",style="dashed", color="red", weight=0]; 460[label="xy402 == xy302",fontsize=16,color="magenta"];460 -> 618[label="",style="dashed", color="magenta", weight=3]; 460 -> 619[label="",style="dashed", color="magenta", weight=3]; 461 -> 28[label="",style="dashed", color="red", weight=0]; 461[label="xy402 == xy302",fontsize=16,color="magenta"];461 -> 620[label="",style="dashed", color="magenta", weight=3]; 461 -> 621[label="",style="dashed", color="magenta", weight=3]; 462 -> 29[label="",style="dashed", color="red", weight=0]; 462[label="xy402 == xy302",fontsize=16,color="magenta"];462 -> 622[label="",style="dashed", color="magenta", weight=3]; 462 -> 623[label="",style="dashed", color="magenta", weight=3]; 463 -> 30[label="",style="dashed", color="red", weight=0]; 463[label="xy402 == xy302",fontsize=16,color="magenta"];463 -> 624[label="",style="dashed", color="magenta", weight=3]; 463 -> 625[label="",style="dashed", color="magenta", weight=3]; 464 -> 31[label="",style="dashed", color="red", weight=0]; 464[label="xy402 == xy302",fontsize=16,color="magenta"];464 -> 626[label="",style="dashed", color="magenta", weight=3]; 464 -> 627[label="",style="dashed", color="magenta", weight=3]; 465 -> 32[label="",style="dashed", color="red", weight=0]; 465[label="xy402 == xy302",fontsize=16,color="magenta"];465 -> 628[label="",style="dashed", color="magenta", weight=3]; 465 -> 629[label="",style="dashed", color="magenta", weight=3]; 466 -> 33[label="",style="dashed", color="red", weight=0]; 466[label="xy402 == xy302",fontsize=16,color="magenta"];466 -> 630[label="",style="dashed", color="magenta", weight=3]; 466 -> 631[label="",style="dashed", color="magenta", weight=3]; 467 -> 34[label="",style="dashed", color="red", weight=0]; 467[label="xy402 == xy302",fontsize=16,color="magenta"];467 -> 632[label="",style="dashed", color="magenta", weight=3]; 467 -> 633[label="",style="dashed", color="magenta", weight=3]; 468 -> 35[label="",style="dashed", color="red", weight=0]; 468[label="xy402 == xy302",fontsize=16,color="magenta"];468 -> 634[label="",style="dashed", color="magenta", weight=3]; 468 -> 635[label="",style="dashed", color="magenta", weight=3]; 469 -> 36[label="",style="dashed", color="red", weight=0]; 469[label="xy402 == xy302",fontsize=16,color="magenta"];469 -> 636[label="",style="dashed", color="magenta", weight=3]; 469 -> 637[label="",style="dashed", color="magenta", weight=3]; 470[label="False",fontsize=16,color="green",shape="box"];471[label="xy32",fontsize=16,color="green",shape="box"];472[label="xy400",fontsize=16,color="green",shape="box"];473[label="xy300",fontsize=16,color="green",shape="box"];474[label="xy400",fontsize=16,color="green",shape="box"];475[label="xy300",fontsize=16,color="green",shape="box"];476[label="xy400",fontsize=16,color="green",shape="box"];477[label="xy300",fontsize=16,color="green",shape="box"];478[label="xy400",fontsize=16,color="green",shape="box"];479[label="xy300",fontsize=16,color="green",shape="box"];480[label="xy400",fontsize=16,color="green",shape="box"];481[label="xy300",fontsize=16,color="green",shape="box"];482[label="xy400",fontsize=16,color="green",shape="box"];483[label="xy300",fontsize=16,color="green",shape="box"];484[label="xy400",fontsize=16,color="green",shape="box"];485[label="xy300",fontsize=16,color="green",shape="box"];486[label="xy400",fontsize=16,color="green",shape="box"];487[label="xy300",fontsize=16,color="green",shape="box"];488[label="xy400",fontsize=16,color="green",shape="box"];489[label="xy300",fontsize=16,color="green",shape="box"];490[label="xy400",fontsize=16,color="green",shape="box"];491[label="xy300",fontsize=16,color="green",shape="box"];492[label="xy400",fontsize=16,color="green",shape="box"];493[label="xy300",fontsize=16,color="green",shape="box"];494[label="xy400",fontsize=16,color="green",shape="box"];495[label="xy300",fontsize=16,color="green",shape="box"];496[label="xy400",fontsize=16,color="green",shape="box"];497[label="xy300",fontsize=16,color="green",shape="box"];498[label="xy400",fontsize=16,color="green",shape="box"];499[label="xy300",fontsize=16,color="green",shape="box"];500[label="xy401",fontsize=16,color="green",shape="box"];501[label="xy301",fontsize=16,color="green",shape="box"];502[label="xy401",fontsize=16,color="green",shape="box"];503[label="xy301",fontsize=16,color="green",shape="box"];504[label="xy401",fontsize=16,color="green",shape="box"];505[label="xy301",fontsize=16,color="green",shape="box"];506[label="xy401",fontsize=16,color="green",shape="box"];507[label="xy301",fontsize=16,color="green",shape="box"];508[label="xy401",fontsize=16,color="green",shape="box"];509[label="xy301",fontsize=16,color="green",shape="box"];510[label="xy401",fontsize=16,color="green",shape="box"];511[label="xy301",fontsize=16,color="green",shape="box"];512[label="xy401",fontsize=16,color="green",shape="box"];513[label="xy301",fontsize=16,color="green",shape="box"];514[label="xy401",fontsize=16,color="green",shape="box"];515[label="xy301",fontsize=16,color="green",shape="box"];516[label="xy401",fontsize=16,color="green",shape="box"];517[label="xy301",fontsize=16,color="green",shape="box"];518[label="xy401",fontsize=16,color="green",shape="box"];519[label="xy301",fontsize=16,color="green",shape="box"];520[label="xy401",fontsize=16,color="green",shape="box"];521[label="xy301",fontsize=16,color="green",shape="box"];522[label="xy401",fontsize=16,color="green",shape="box"];523[label="xy301",fontsize=16,color="green",shape="box"];524[label="xy401",fontsize=16,color="green",shape="box"];525[label="xy301",fontsize=16,color="green",shape="box"];526[label="xy401",fontsize=16,color="green",shape="box"];527[label="xy301",fontsize=16,color="green",shape="box"];528[label="xy400",fontsize=16,color="green",shape="box"];529[label="xy300",fontsize=16,color="green",shape="box"];530[label="xy400",fontsize=16,color="green",shape="box"];531[label="xy300",fontsize=16,color="green",shape="box"];532[label="xy401",fontsize=16,color="green",shape="box"];533[label="xy301",fontsize=16,color="green",shape="box"];534[label="xy401",fontsize=16,color="green",shape="box"];535[label="xy301",fontsize=16,color="green",shape="box"];536[label="xy400",fontsize=16,color="green",shape="box"];537[label="xy300",fontsize=16,color="green",shape="box"];538[label="xy400",fontsize=16,color="green",shape="box"];539[label="xy300",fontsize=16,color="green",shape="box"];540[label="xy400",fontsize=16,color="green",shape="box"];541[label="xy300",fontsize=16,color="green",shape="box"];542[label="xy400",fontsize=16,color="green",shape="box"];543[label="xy300",fontsize=16,color="green",shape="box"];544[label="xy400",fontsize=16,color="green",shape="box"];545[label="xy300",fontsize=16,color="green",shape="box"];546[label="xy400",fontsize=16,color="green",shape="box"];547[label="xy300",fontsize=16,color="green",shape="box"];548[label="xy400",fontsize=16,color="green",shape="box"];549[label="xy300",fontsize=16,color="green",shape="box"];550[label="xy400",fontsize=16,color="green",shape="box"];551[label="xy300",fontsize=16,color="green",shape="box"];552[label="xy400",fontsize=16,color="green",shape="box"];553[label="xy300",fontsize=16,color="green",shape="box"];554[label="xy400",fontsize=16,color="green",shape="box"];555[label="xy300",fontsize=16,color="green",shape="box"];556[label="xy400",fontsize=16,color="green",shape="box"];557[label="xy300",fontsize=16,color="green",shape="box"];558[label="xy400",fontsize=16,color="green",shape="box"];559[label="xy300",fontsize=16,color="green",shape="box"];560[label="xy400",fontsize=16,color="green",shape="box"];561[label="xy300",fontsize=16,color="green",shape="box"];562[label="xy400",fontsize=16,color="green",shape="box"];563[label="xy300",fontsize=16,color="green",shape="box"];564 -> 164[label="",style="dashed", color="red", weight=0]; 564[label="primEqNat xy4000 xy3000",fontsize=16,color="magenta"];564 -> 638[label="",style="dashed", color="magenta", weight=3]; 564 -> 639[label="",style="dashed", color="magenta", weight=3]; 565[label="False",fontsize=16,color="green",shape="box"];566[label="False",fontsize=16,color="green",shape="box"];567[label="True",fontsize=16,color="green",shape="box"];568[label="False",fontsize=16,color="green",shape="box"];569[label="True",fontsize=16,color="green",shape="box"];570 -> 164[label="",style="dashed", color="red", weight=0]; 570[label="primEqNat xy4000 xy3000",fontsize=16,color="magenta"];570 -> 640[label="",style="dashed", color="magenta", weight=3]; 570 -> 641[label="",style="dashed", color="magenta", weight=3]; 571[label="False",fontsize=16,color="green",shape="box"];572[label="False",fontsize=16,color="green",shape="box"];573[label="True",fontsize=16,color="green",shape="box"];574[label="False",fontsize=16,color="green",shape="box"];575[label="True",fontsize=16,color="green",shape="box"];576 -> 164[label="",style="dashed", color="red", weight=0]; 576[label="primEqNat xy4000 xy3000",fontsize=16,color="magenta"];576 -> 642[label="",style="dashed", color="magenta", weight=3]; 576 -> 643[label="",style="dashed", color="magenta", weight=3]; 577[label="False",fontsize=16,color="green",shape="box"];578[label="False",fontsize=16,color="green",shape="box"];579[label="True",fontsize=16,color="green",shape="box"];580[label="primMulInt (Pos xy4000) xy301",fontsize=16,color="burlywood",shape="box"];930[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];580 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 644[label="",style="solid", color="burlywood", weight=3]; 931[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];580 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 645[label="",style="solid", color="burlywood", weight=3]; 581[label="primMulInt (Neg xy4000) xy301",fontsize=16,color="burlywood",shape="box"];932[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];581 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 646[label="",style="solid", color="burlywood", weight=3]; 933[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];581 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 647[label="",style="solid", color="burlywood", weight=3]; 582[label="xy401",fontsize=16,color="green",shape="box"];583[label="xy301",fontsize=16,color="green",shape="box"];584[label="xy401",fontsize=16,color="green",shape="box"];585[label="xy301",fontsize=16,color="green",shape="box"];586[label="xy401",fontsize=16,color="green",shape="box"];587[label="xy301",fontsize=16,color="green",shape="box"];588[label="xy401",fontsize=16,color="green",shape="box"];589[label="xy301",fontsize=16,color="green",shape="box"];590[label="xy401",fontsize=16,color="green",shape="box"];591[label="xy301",fontsize=16,color="green",shape="box"];592[label="xy401",fontsize=16,color="green",shape="box"];593[label="xy301",fontsize=16,color="green",shape="box"];594[label="xy401",fontsize=16,color="green",shape="box"];595[label="xy301",fontsize=16,color="green",shape="box"];596[label="xy401",fontsize=16,color="green",shape="box"];597[label="xy301",fontsize=16,color="green",shape="box"];598[label="xy401",fontsize=16,color="green",shape="box"];599[label="xy301",fontsize=16,color="green",shape="box"];600[label="xy401",fontsize=16,color="green",shape="box"];601[label="xy301",fontsize=16,color="green",shape="box"];602[label="xy401",fontsize=16,color="green",shape="box"];603[label="xy301",fontsize=16,color="green",shape="box"];604[label="xy401",fontsize=16,color="green",shape="box"];605[label="xy301",fontsize=16,color="green",shape="box"];606[label="xy401",fontsize=16,color="green",shape="box"];607[label="xy301",fontsize=16,color="green",shape="box"];608[label="xy401",fontsize=16,color="green",shape="box"];609[label="xy301",fontsize=16,color="green",shape="box"];610[label="xy402",fontsize=16,color="green",shape="box"];611[label="xy302",fontsize=16,color="green",shape="box"];612[label="xy402",fontsize=16,color="green",shape="box"];613[label="xy302",fontsize=16,color="green",shape="box"];614[label="xy402",fontsize=16,color="green",shape="box"];615[label="xy302",fontsize=16,color="green",shape="box"];616[label="xy402",fontsize=16,color="green",shape="box"];617[label="xy302",fontsize=16,color="green",shape="box"];618[label="xy402",fontsize=16,color="green",shape="box"];619[label="xy302",fontsize=16,color="green",shape="box"];620[label="xy402",fontsize=16,color="green",shape="box"];621[label="xy302",fontsize=16,color="green",shape="box"];622[label="xy402",fontsize=16,color="green",shape="box"];623[label="xy302",fontsize=16,color="green",shape="box"];624[label="xy402",fontsize=16,color="green",shape="box"];625[label="xy302",fontsize=16,color="green",shape="box"];626[label="xy402",fontsize=16,color="green",shape="box"];627[label="xy302",fontsize=16,color="green",shape="box"];628[label="xy402",fontsize=16,color="green",shape="box"];629[label="xy302",fontsize=16,color="green",shape="box"];630[label="xy402",fontsize=16,color="green",shape="box"];631[label="xy302",fontsize=16,color="green",shape="box"];632[label="xy402",fontsize=16,color="green",shape="box"];633[label="xy302",fontsize=16,color="green",shape="box"];634[label="xy402",fontsize=16,color="green",shape="box"];635[label="xy302",fontsize=16,color="green",shape="box"];636[label="xy402",fontsize=16,color="green",shape="box"];637[label="xy302",fontsize=16,color="green",shape="box"];638[label="xy3000",fontsize=16,color="green",shape="box"];639[label="xy4000",fontsize=16,color="green",shape="box"];640[label="xy3000",fontsize=16,color="green",shape="box"];641[label="xy4000",fontsize=16,color="green",shape="box"];642[label="xy3000",fontsize=16,color="green",shape="box"];643[label="xy4000",fontsize=16,color="green",shape="box"];644[label="primMulInt (Pos xy4000) (Pos xy3010)",fontsize=16,color="black",shape="box"];644 -> 648[label="",style="solid", color="black", weight=3]; 645[label="primMulInt (Pos xy4000) (Neg xy3010)",fontsize=16,color="black",shape="box"];645 -> 649[label="",style="solid", color="black", weight=3]; 646[label="primMulInt (Neg xy4000) (Pos xy3010)",fontsize=16,color="black",shape="box"];646 -> 650[label="",style="solid", color="black", weight=3]; 647[label="primMulInt (Neg xy4000) (Neg xy3010)",fontsize=16,color="black",shape="box"];647 -> 651[label="",style="solid", color="black", weight=3]; 648[label="Pos (primMulNat xy4000 xy3010)",fontsize=16,color="green",shape="box"];648 -> 652[label="",style="dashed", color="green", weight=3]; 649[label="Neg (primMulNat xy4000 xy3010)",fontsize=16,color="green",shape="box"];649 -> 653[label="",style="dashed", color="green", weight=3]; 650[label="Neg (primMulNat xy4000 xy3010)",fontsize=16,color="green",shape="box"];650 -> 654[label="",style="dashed", color="green", weight=3]; 651[label="Pos (primMulNat xy4000 xy3010)",fontsize=16,color="green",shape="box"];651 -> 655[label="",style="dashed", color="green", weight=3]; 652[label="primMulNat xy4000 xy3010",fontsize=16,color="burlywood",shape="triangle"];934[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];652 -> 934[label="",style="solid", color="burlywood", weight=9]; 934 -> 656[label="",style="solid", color="burlywood", weight=3]; 935[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];652 -> 935[label="",style="solid", color="burlywood", weight=9]; 935 -> 657[label="",style="solid", color="burlywood", weight=3]; 653 -> 652[label="",style="dashed", color="red", weight=0]; 653[label="primMulNat xy4000 xy3010",fontsize=16,color="magenta"];653 -> 658[label="",style="dashed", color="magenta", weight=3]; 654 -> 652[label="",style="dashed", color="red", weight=0]; 654[label="primMulNat xy4000 xy3010",fontsize=16,color="magenta"];654 -> 659[label="",style="dashed", color="magenta", weight=3]; 655 -> 652[label="",style="dashed", color="red", weight=0]; 655[label="primMulNat xy4000 xy3010",fontsize=16,color="magenta"];655 -> 660[label="",style="dashed", color="magenta", weight=3]; 655 -> 661[label="",style="dashed", color="magenta", weight=3]; 656[label="primMulNat (Succ xy40000) xy3010",fontsize=16,color="burlywood",shape="box"];936[label="xy3010/Succ xy30100",fontsize=10,color="white",style="solid",shape="box"];656 -> 936[label="",style="solid", color="burlywood", weight=9]; 936 -> 662[label="",style="solid", color="burlywood", weight=3]; 937[label="xy3010/Zero",fontsize=10,color="white",style="solid",shape="box"];656 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 663[label="",style="solid", color="burlywood", weight=3]; 657[label="primMulNat Zero xy3010",fontsize=16,color="burlywood",shape="box"];938[label="xy3010/Succ xy30100",fontsize=10,color="white",style="solid",shape="box"];657 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 664[label="",style="solid", color="burlywood", weight=3]; 939[label="xy3010/Zero",fontsize=10,color="white",style="solid",shape="box"];657 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 665[label="",style="solid", color="burlywood", weight=3]; 658[label="xy3010",fontsize=16,color="green",shape="box"];659[label="xy4000",fontsize=16,color="green",shape="box"];660[label="xy3010",fontsize=16,color="green",shape="box"];661[label="xy4000",fontsize=16,color="green",shape="box"];662[label="primMulNat (Succ xy40000) (Succ xy30100)",fontsize=16,color="black",shape="box"];662 -> 666[label="",style="solid", color="black", weight=3]; 663[label="primMulNat (Succ xy40000) Zero",fontsize=16,color="black",shape="box"];663 -> 667[label="",style="solid", color="black", weight=3]; 664[label="primMulNat Zero (Succ xy30100)",fontsize=16,color="black",shape="box"];664 -> 668[label="",style="solid", color="black", weight=3]; 665[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];665 -> 669[label="",style="solid", color="black", weight=3]; 666 -> 670[label="",style="dashed", color="red", weight=0]; 666[label="primPlusNat (primMulNat xy40000 (Succ xy30100)) (Succ xy30100)",fontsize=16,color="magenta"];666 -> 671[label="",style="dashed", color="magenta", weight=3]; 667[label="Zero",fontsize=16,color="green",shape="box"];668[label="Zero",fontsize=16,color="green",shape="box"];669[label="Zero",fontsize=16,color="green",shape="box"];671 -> 652[label="",style="dashed", color="red", weight=0]; 671[label="primMulNat xy40000 (Succ xy30100)",fontsize=16,color="magenta"];671 -> 672[label="",style="dashed", color="magenta", weight=3]; 671 -> 673[label="",style="dashed", color="magenta", weight=3]; 670[label="primPlusNat xy33 (Succ xy30100)",fontsize=16,color="burlywood",shape="triangle"];940[label="xy33/Succ xy330",fontsize=10,color="white",style="solid",shape="box"];670 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 674[label="",style="solid", color="burlywood", weight=3]; 941[label="xy33/Zero",fontsize=10,color="white",style="solid",shape="box"];670 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 675[label="",style="solid", color="burlywood", weight=3]; 672[label="Succ xy30100",fontsize=16,color="green",shape="box"];673[label="xy40000",fontsize=16,color="green",shape="box"];674[label="primPlusNat (Succ xy330) (Succ xy30100)",fontsize=16,color="black",shape="box"];674 -> 676[label="",style="solid", color="black", weight=3]; 675[label="primPlusNat Zero (Succ xy30100)",fontsize=16,color="black",shape="box"];675 -> 677[label="",style="solid", color="black", weight=3]; 676[label="Succ (Succ (primPlusNat xy330 xy30100))",fontsize=16,color="green",shape="box"];676 -> 678[label="",style="dashed", color="green", weight=3]; 677[label="Succ xy30100",fontsize=16,color="green",shape="box"];678[label="primPlusNat xy330 xy30100",fontsize=16,color="burlywood",shape="triangle"];942[label="xy330/Succ xy3300",fontsize=10,color="white",style="solid",shape="box"];678 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 679[label="",style="solid", color="burlywood", weight=3]; 943[label="xy330/Zero",fontsize=10,color="white",style="solid",shape="box"];678 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 680[label="",style="solid", color="burlywood", weight=3]; 679[label="primPlusNat (Succ xy3300) xy30100",fontsize=16,color="burlywood",shape="box"];944[label="xy30100/Succ xy301000",fontsize=10,color="white",style="solid",shape="box"];679 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 681[label="",style="solid", color="burlywood", weight=3]; 945[label="xy30100/Zero",fontsize=10,color="white",style="solid",shape="box"];679 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 682[label="",style="solid", color="burlywood", weight=3]; 680[label="primPlusNat Zero xy30100",fontsize=16,color="burlywood",shape="box"];946[label="xy30100/Succ xy301000",fontsize=10,color="white",style="solid",shape="box"];680 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 683[label="",style="solid", color="burlywood", weight=3]; 947[label="xy30100/Zero",fontsize=10,color="white",style="solid",shape="box"];680 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 684[label="",style="solid", color="burlywood", weight=3]; 681[label="primPlusNat (Succ xy3300) (Succ xy301000)",fontsize=16,color="black",shape="box"];681 -> 685[label="",style="solid", color="black", weight=3]; 682[label="primPlusNat (Succ xy3300) Zero",fontsize=16,color="black",shape="box"];682 -> 686[label="",style="solid", color="black", weight=3]; 683[label="primPlusNat Zero (Succ xy301000)",fontsize=16,color="black",shape="box"];683 -> 687[label="",style="solid", color="black", weight=3]; 684[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];684 -> 688[label="",style="solid", color="black", weight=3]; 685[label="Succ (Succ (primPlusNat xy3300 xy301000))",fontsize=16,color="green",shape="box"];685 -> 689[label="",style="dashed", color="green", weight=3]; 686[label="Succ xy3300",fontsize=16,color="green",shape="box"];687[label="Succ xy301000",fontsize=16,color="green",shape="box"];688[label="Zero",fontsize=16,color="green",shape="box"];689 -> 678[label="",style="dashed", color="red", weight=0]; 689[label="primPlusNat xy3300 xy301000",fontsize=16,color="magenta"];689 -> 690[label="",style="dashed", color="magenta", weight=3]; 689 -> 691[label="",style="dashed", color="magenta", weight=3]; 690[label="xy3300",fontsize=16,color="green",shape="box"];691[label="xy301000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (8) Complex Obligation (AND) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_foldl(xy3, :(xy40, xy41), ba) -> new_foldl(new_deleteBy1(xy40, xy3, ba), xy41, ba) The TRS R consists of the following rules: new_esEs23(xy401, xy301, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs10(xy401, xy301, bcb, bcc, bcd) new_esEs22(xy400, xy300, app(ty_Ratio, bbf)) -> new_esEs16(xy400, xy300, bbf) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs19(xy400, xy300, ty_Float) -> new_esEs7(xy400, xy300) new_esEs23(xy401, xy301, app(ty_[], bda)) -> new_esEs17(xy401, xy301, bda) new_esEs4(xy40, xy30, app(ty_[], gh)) -> new_esEs17(xy40, xy30, gh) new_esEs19(xy400, xy300, app(app(ty_Either, ec), ed)) -> new_esEs5(xy400, xy300, ec, ed) new_esEs24(xy402, xy302, app(ty_Maybe, bea)) -> new_esEs15(xy402, xy302, bea) new_esEs4(xy40, xy30, ty_Integer) -> new_esEs9(xy40, xy30) new_esEs23(xy401, xy301, ty_Integer) -> new_esEs9(xy401, xy301) new_esEs23(xy401, xy301, ty_Ordering) -> new_esEs13(xy401, xy301) new_esEs5(Left(xy400), Left(xy300), ty_@0, bd) -> new_esEs11(xy400, xy300) new_deleteBy1(xy40, :(xy30, xy31), ba) -> new_deleteBy00(xy31, xy30, xy40, new_esEs4(xy40, xy30, ba), ba) new_esEs19(xy400, xy300, ty_Double) -> new_esEs8(xy400, xy300) new_esEs4(xy40, xy30, ty_Double) -> new_esEs8(xy40, xy30) new_esEs24(xy402, xy302, ty_@0) -> new_esEs11(xy402, xy302) new_esEs23(xy401, xy301, ty_Char) -> new_esEs6(xy401, xy301) new_esEs21(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), ty_Int) -> new_esEs18(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), app(app(ty_@2, bfb), bfc)) -> new_esEs14(xy400, xy300, bfb, bfc) new_esEs5(Right(xy400), Right(xy300), ce, ty_@0) -> new_esEs11(xy400, xy300) new_esEs18(xy40, xy30) -> new_primEqInt(xy40, xy30) new_esEs24(xy402, xy302, app(ty_Ratio, beb)) -> new_esEs16(xy402, xy302, beb) new_esEs7(Float(xy400, xy401), Float(xy300, xy301)) -> new_esEs18(new_sr(xy400, xy301), new_sr(xy401, xy300)) new_asAs(True, xy32) -> xy32 new_esEs19(xy400, xy300, app(ty_[], fd)) -> new_esEs17(xy400, xy300, fd) new_esEs23(xy401, xy301, app(app(ty_Either, bbh), bca)) -> new_esEs5(xy401, xy301, bbh, bca) new_esEs15(Just(xy400), Just(xy300), app(ty_[], bff)) -> new_esEs17(xy400, xy300, bff) new_primEqInt(Pos(Succ(xy4000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy3000))) -> False new_esEs6(Char(xy400), Char(xy300)) -> new_primEqNat0(xy400, xy300) new_esEs21(xy400, xy300, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), ce, app(app(app(ty_@3, da), db), dc)) -> new_esEs10(xy400, xy300, da, db, dc) new_esEs23(xy401, xy301, ty_Float) -> new_esEs7(xy401, xy301) new_primEqNat0(Succ(xy4000), Succ(xy3000)) -> new_primEqNat0(xy4000, xy3000) new_esEs21(xy400, xy300, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs21(xy400, xy300, ty_Char) -> new_esEs6(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), app(app(app(ty_@3, beg), beh), bfa)) -> new_esEs10(xy400, xy300, beg, beh, bfa) new_esEs4(xy40, xy30, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs10(xy40, xy30, bac, bad, bae) new_deleteBy1(xy40, [], ba) -> [] new_esEs14(@2(xy400, xy401), @2(xy300, xy301), ea, eb) -> new_asAs(new_esEs19(xy400, xy300, ea), new_esEs20(xy401, xy301, eb)) new_esEs19(xy400, xy300, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs10(xy400, xy300, ee, ef, eg) new_esEs12(False, True) -> False new_esEs12(True, False) -> False new_esEs22(xy400, xy300, ty_@0) -> new_esEs11(xy400, xy300) new_esEs15(Nothing, Just(xy300), bed) -> False new_esEs15(Just(xy400), Nothing, bed) -> False new_esEs15(Just(xy400), Just(xy300), app(app(ty_Either, bee), bef)) -> new_esEs5(xy400, xy300, bee, bef) new_esEs4(xy40, xy30, app(app(ty_@2, ea), eb)) -> new_esEs14(xy40, xy30, ea, eb) new_primMulNat0(Zero, Zero) -> Zero new_esEs20(xy401, xy301, app(ty_Maybe, ge)) -> new_esEs15(xy401, xy301, ge) new_esEs15(Nothing, Nothing, bed) -> True new_esEs12(True, True) -> True new_esEs24(xy402, xy302, ty_Int) -> new_esEs18(xy402, xy302) new_esEs4(xy40, xy30, ty_Int) -> new_esEs18(xy40, xy30) new_esEs5(Left(xy400), Left(xy300), ty_Int, bd) -> new_esEs18(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), ty_Float) -> new_esEs7(xy400, xy300) new_esEs23(xy401, xy301, ty_Bool) -> new_esEs12(xy401, xy301) new_esEs4(xy40, xy30, ty_Bool) -> new_esEs12(xy40, xy30) new_esEs5(Right(xy400), Right(xy300), ce, ty_Int) -> new_esEs18(xy400, xy300) new_esEs20(xy401, xy301, app(app(ty_Either, ff), fg)) -> new_esEs5(xy401, xy301, ff, fg) new_esEs5(Left(xy400), Left(xy300), ty_Float, bd) -> new_esEs7(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), ce, app(app(ty_Either, cf), cg)) -> new_esEs5(xy400, xy300, cf, cg) new_primEqNat0(Succ(xy4000), Zero) -> False new_primEqNat0(Zero, Succ(xy3000)) -> False new_esEs20(xy401, xy301, app(ty_[], gg)) -> new_esEs17(xy401, xy301, gg) new_esEs5(Right(xy400), Right(xy300), ce, ty_Char) -> new_esEs6(xy400, xy300) new_esEs20(xy401, xy301, ty_Float) -> new_esEs7(xy401, xy301) new_esEs23(xy401, xy301, ty_Int) -> new_esEs18(xy401, xy301) new_esEs9(Integer(xy400), Integer(xy300)) -> new_primEqInt(xy400, xy300) new_esEs19(xy400, xy300, app(ty_Ratio, fc)) -> new_esEs16(xy400, xy300, fc) new_deleteBy00(xy10, xy11, xy12, False, bfh) -> :(xy11, new_deleteBy1(xy12, xy10, bfh)) new_esEs23(xy401, xy301, ty_Double) -> new_esEs8(xy401, xy301) new_esEs24(xy402, xy302, ty_Float) -> new_esEs7(xy402, xy302) new_esEs13(LT, LT) -> True new_esEs22(xy400, xy300, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs21(xy400, xy300, app(ty_[], bab)) -> new_esEs17(xy400, xy300, bab) new_primEqInt(Neg(Succ(xy4000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy3000))) -> False new_esEs20(xy401, xy301, ty_Char) -> new_esEs6(xy401, xy301) new_esEs15(Just(xy400), Just(xy300), app(ty_Maybe, bfd)) -> new_esEs15(xy400, xy300, bfd) new_esEs20(xy401, xy301, app(ty_Ratio, gf)) -> new_esEs16(xy401, xy301, gf) new_primEqInt(Pos(Succ(xy4000)), Pos(Succ(xy3000))) -> new_primEqNat0(xy4000, xy3000) new_sr(Pos(xy4000), Neg(xy3010)) -> Neg(new_primMulNat0(xy4000, xy3010)) new_sr(Neg(xy4000), Pos(xy3010)) -> Neg(new_primMulNat0(xy4000, xy3010)) new_primPlusNat1(Succ(xy3300), Succ(xy301000)) -> Succ(Succ(new_primPlusNat1(xy3300, xy301000))) new_esEs4(xy40, xy30, ty_Ordering) -> new_esEs13(xy40, xy30) new_primEqInt(Pos(Succ(xy4000)), Neg(xy300)) -> False new_primEqInt(Neg(Succ(xy4000)), Pos(xy300)) -> False new_esEs5(Right(xy400), Right(xy300), ce, ty_Float) -> new_esEs7(xy400, xy300) new_esEs19(xy400, xy300, app(ty_Maybe, fb)) -> new_esEs15(xy400, xy300, fb) new_esEs21(xy400, xy300, app(app(ty_@2, hf), hg)) -> new_esEs14(xy400, xy300, hf, hg) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs15(Just(xy400), Just(xy300), ty_Char) -> new_esEs6(xy400, xy300) new_esEs19(xy400, xy300, ty_Char) -> new_esEs6(xy400, xy300) new_esEs21(xy400, xy300, app(app(app(ty_@3, hc), hd), he)) -> new_esEs10(xy400, xy300, hc, hd, he) new_esEs22(xy400, xy300, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), ce, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs16(:%(xy400, xy401), :%(xy300, xy301), bfg) -> new_asAs(new_esEs25(xy400, xy300, bfg), new_esEs26(xy401, xy301, bfg)) new_esEs15(Just(xy400), Just(xy300), app(ty_Ratio, bfe)) -> new_esEs16(xy400, xy300, bfe) new_esEs12(False, False) -> True new_esEs20(xy401, xy301, app(app(ty_@2, gc), gd)) -> new_esEs14(xy401, xy301, gc, gd) new_sr(Neg(xy4000), Neg(xy3010)) -> Pos(new_primMulNat0(xy4000, xy3010)) new_esEs22(xy400, xy300, app(app(app(ty_@3, bah), bba), bbb)) -> new_esEs10(xy400, xy300, bah, bba, bbb) new_esEs4(xy40, xy30, ty_@0) -> new_esEs11(xy40, xy30) new_esEs22(xy400, xy300, ty_Char) -> new_esEs6(xy400, xy300) new_esEs23(xy401, xy301, ty_@0) -> new_esEs11(xy401, xy301) new_esEs20(xy401, xy301, ty_Int) -> new_esEs18(xy401, xy301) new_esEs17([], [], gh) -> True new_esEs13(GT, GT) -> True new_esEs21(xy400, xy300, app(ty_Ratio, baa)) -> new_esEs16(xy400, xy300, baa) new_esEs23(xy401, xy301, app(ty_Maybe, bcg)) -> new_esEs15(xy401, xy301, bcg) new_esEs24(xy402, xy302, app(ty_[], bec)) -> new_esEs17(xy402, xy302, bec) new_esEs5(Right(xy400), Right(xy300), ce, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), ce, app(app(ty_@2, dd), de)) -> new_esEs14(xy400, xy300, dd, de) new_esEs4(xy40, xy30, app(ty_Ratio, bfg)) -> new_esEs16(xy40, xy30, bfg) new_primEqInt(Pos(Zero), Neg(Succ(xy3000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy3000))) -> False new_esEs5(Left(xy400), Right(xy300), ce, bd) -> False new_esEs5(Right(xy400), Left(xy300), ce, bd) -> False new_esEs20(xy401, xy301, ty_Bool) -> new_esEs12(xy401, xy301) new_esEs22(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs24(xy402, xy302, ty_Char) -> new_esEs6(xy402, xy302) new_esEs5(Left(xy400), Left(xy300), ty_Double, bd) -> new_esEs8(xy400, xy300) new_esEs19(xy400, xy300, app(app(ty_@2, eh), fa)) -> new_esEs14(xy400, xy300, eh, fa) new_esEs5(Left(xy400), Left(xy300), app(ty_Maybe, cb), bd) -> new_esEs15(xy400, xy300, cb) new_esEs10(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), bac, bad, bae) -> new_asAs(new_esEs22(xy400, xy300, bac), new_asAs(new_esEs23(xy401, xy301, bad), new_esEs24(xy402, xy302, bae))) new_esEs19(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_esEs24(xy402, xy302, app(app(ty_Either, bdb), bdc)) -> new_esEs5(xy402, xy302, bdb, bdc) new_primEqInt(Neg(Succ(xy4000)), Neg(Succ(xy3000))) -> new_primEqNat0(xy4000, xy3000) new_esEs22(xy400, xy300, app(app(ty_@2, bbc), bbd)) -> new_esEs14(xy400, xy300, bbc, bbd) new_primPlusNat0(Succ(xy330), xy30100) -> Succ(Succ(new_primPlusNat1(xy330, xy30100))) new_esEs22(xy400, xy300, ty_Double) -> new_esEs8(xy400, xy300) new_esEs24(xy402, xy302, ty_Double) -> new_esEs8(xy402, xy302) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs20(xy401, xy301, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs10(xy401, xy301, fh, ga, gb) new_esEs19(xy400, xy300, ty_@0) -> new_esEs11(xy400, xy300) new_esEs21(xy400, xy300, app(ty_Maybe, hh)) -> new_esEs15(xy400, xy300, hh) new_esEs15(Just(xy400), Just(xy300), ty_@0) -> new_esEs11(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), ty_Char, bd) -> new_esEs6(xy400, xy300) new_esEs25(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_primPlusNat1(Zero, Zero) -> Zero new_esEs22(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_primMulNat0(Succ(xy40000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy30100)) -> Zero new_sr(Pos(xy4000), Pos(xy3010)) -> Pos(new_primMulNat0(xy4000, xy3010)) new_esEs22(xy400, xy300, app(ty_[], bbg)) -> new_esEs17(xy400, xy300, bbg) new_esEs5(Right(xy400), Right(xy300), ce, ty_Double) -> new_esEs8(xy400, xy300) new_primPlusNat0(Zero, xy30100) -> Succ(xy30100) new_esEs24(xy402, xy302, ty_Ordering) -> new_esEs13(xy402, xy302) new_esEs24(xy402, xy302, ty_Integer) -> new_esEs9(xy402, xy302) new_esEs5(Left(xy400), Left(xy300), ty_Ordering, bd) -> new_esEs13(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), ty_Integer, bd) -> new_esEs9(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), app(app(ty_Either, bb), bc), bd) -> new_esEs5(xy400, xy300, bb, bc) new_esEs5(Left(xy400), Left(xy300), app(ty_Ratio, cc), bd) -> new_esEs16(xy400, xy300, cc) new_esEs8(Double(xy400, xy401), Double(xy300, xy301)) -> new_esEs18(new_sr(xy400, xy301), new_sr(xy401, xy300)) new_esEs24(xy402, xy302, app(app(ty_@2, bdg), bdh)) -> new_esEs14(xy402, xy302, bdg, bdh) new_esEs5(Left(xy400), Left(xy300), ty_Bool, bd) -> new_esEs12(xy400, xy300) new_esEs22(xy400, xy300, ty_Float) -> new_esEs7(xy400, xy300) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs21(xy400, xy300, app(app(ty_Either, ha), hb)) -> new_esEs5(xy400, xy300, ha, hb) new_esEs20(xy401, xy301, ty_Ordering) -> new_esEs13(xy401, xy301) new_primMulNat0(Succ(xy40000), Succ(xy30100)) -> new_primPlusNat0(new_primMulNat0(xy40000, Succ(xy30100)), xy30100) new_esEs20(xy401, xy301, ty_Double) -> new_esEs8(xy401, xy301) new_esEs24(xy402, xy302, ty_Bool) -> new_esEs12(xy402, xy302) new_deleteBy00(xy10, xy11, xy12, True, bfh) -> xy10 new_primPlusNat1(Succ(xy3300), Zero) -> Succ(xy3300) new_primPlusNat1(Zero, Succ(xy301000)) -> Succ(xy301000) new_esEs5(Right(xy400), Right(xy300), ce, app(ty_Maybe, df)) -> new_esEs15(xy400, xy300, df) new_esEs5(Left(xy400), Left(xy300), app(ty_[], cd), bd) -> new_esEs17(xy400, xy300, cd) new_esEs21(xy400, xy300, ty_Float) -> new_esEs7(xy400, xy300) new_esEs11(@0, @0) -> True new_esEs20(xy401, xy301, ty_@0) -> new_esEs11(xy401, xy301) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs23(xy401, xy301, app(app(ty_@2, bce), bcf)) -> new_esEs14(xy401, xy301, bce, bcf) new_esEs21(xy400, xy300, ty_Double) -> new_esEs8(xy400, xy300) new_esEs26(xy401, xy301, ty_Integer) -> new_esEs9(xy401, xy301) new_esEs15(Just(xy400), Just(xy300), ty_Double) -> new_esEs8(xy400, xy300) new_esEs22(xy400, xy300, app(ty_Maybe, bbe)) -> new_esEs15(xy400, xy300, bbe) new_esEs26(xy401, xy301, ty_Int) -> new_esEs18(xy401, xy301) new_primEqNat0(Zero, Zero) -> True new_esEs21(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), ce, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs4(xy40, xy30, ty_Float) -> new_esEs7(xy40, xy30) new_esEs4(xy40, xy30, app(app(ty_Either, ce), bd)) -> new_esEs5(xy40, xy30, ce, bd) new_esEs5(Left(xy400), Left(xy300), app(app(app(ty_@3, be), bf), bg), bd) -> new_esEs10(xy400, xy300, be, bf, bg) new_esEs13(EQ, EQ) -> True new_esEs15(Just(xy400), Just(xy300), ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), ty_Integer) -> new_esEs9(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), app(app(ty_@2, bh), ca), bd) -> new_esEs14(xy400, xy300, bh, ca) new_esEs17(:(xy400, xy401), [], gh) -> False new_esEs17([], :(xy300, xy301), gh) -> False new_asAs(False, xy32) -> False new_esEs25(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs19(xy400, xy300, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs21(xy400, xy300, ty_@0) -> new_esEs11(xy400, xy300) new_esEs19(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs20(xy401, xy301, ty_Integer) -> new_esEs9(xy401, xy301) new_esEs23(xy401, xy301, app(ty_Ratio, bch)) -> new_esEs16(xy401, xy301, bch) new_esEs17(:(xy400, xy401), :(xy300, xy301), gh) -> new_asAs(new_esEs21(xy400, xy300, gh), new_esEs17(xy401, xy301, gh)) new_esEs24(xy402, xy302, app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs10(xy402, xy302, bdd, bde, bdf) new_esEs15(Just(xy400), Just(xy300), ty_Bool) -> new_esEs12(xy400, xy300) new_esEs19(xy400, xy300, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), ce, app(ty_Ratio, dg)) -> new_esEs16(xy400, xy300, dg) new_esEs4(xy40, xy30, app(ty_Maybe, bed)) -> new_esEs15(xy40, xy30, bed) new_esEs22(xy400, xy300, app(app(ty_Either, baf), bag)) -> new_esEs5(xy400, xy300, baf, bag) new_esEs5(Right(xy400), Right(xy300), ce, app(ty_[], dh)) -> new_esEs17(xy400, xy300, dh) new_esEs4(xy40, xy30, ty_Char) -> new_esEs6(xy40, xy30) The set Q consists of the following terms: new_esEs17([], :(x0, x1), x2) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_deleteBy00(x0, x1, x2, True, x3) new_esEs13(EQ, EQ) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_Int) new_esEs14(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs17([], [], x0) new_esEs20(x0, x1, ty_Ordering) new_esEs20(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Ordering) new_esEs5(Right(x0), Right(x1), x2, ty_@0) new_primMulNat0(Zero, Zero) new_esEs4(x0, x1, ty_Double) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, Zero) new_esEs23(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs23(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Float) new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs20(x0, x1, ty_Float) new_esEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs24(x0, x1, ty_Double) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs24(x0, x1, ty_Char) new_esEs19(x0, x1, ty_Bool) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Char(x0), Char(x1)) new_esEs23(x0, x1, ty_Int) new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs13(LT, LT) new_esEs15(Just(x0), Just(x1), ty_Bool) new_primMulNat0(Zero, Succ(x0)) new_esEs5(Right(x0), Right(x1), x2, ty_Char) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs23(x0, x1, ty_Double) new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs8(Double(x0, x1), Double(x2, x3)) new_esEs20(x0, x1, ty_Int) new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs22(x0, x1, ty_Double) new_primMulNat0(Succ(x0), Zero) new_esEs26(x0, x1, ty_Int) new_esEs12(False, True) new_esEs12(True, False) new_esEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs5(Right(x0), Right(x1), x2, ty_Integer) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs12(False, False) new_esEs9(Integer(x0), Integer(x1)) new_esEs21(x0, x1, ty_Bool) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs15(Nothing, Just(x0), x1) new_esEs10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs21(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs22(x0, x1, ty_Bool) new_esEs4(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Double) new_esEs22(x0, x1, ty_Ordering) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Just(x0), Nothing, x1) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs15(Nothing, Nothing, x0) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_@0) new_esEs21(x0, x1, ty_Char) new_esEs19(x0, x1, ty_Char) new_esEs19(x0, x1, ty_Float) new_esEs19(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(Left(x0), Left(x1), ty_Float, x2) new_esEs15(Just(x0), Just(x1), ty_@0) new_esEs4(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs22(x0, x1, ty_Integer) new_esEs21(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Integer) new_esEs4(x0, x1, ty_Float) new_esEs15(Just(x0), Just(x1), ty_Float) new_sr(Neg(x0), Neg(x1)) new_esEs19(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Int) new_esEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_deleteBy00(x0, x1, x2, False, x3) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Succ(x0), x1) new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_@0) new_esEs4(x0, x1, ty_@0) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs23(x0, x1, ty_Bool) new_esEs24(x0, x1, ty_Integer) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, x0) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs25(x0, x1, ty_Int) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs5(Left(x0), Left(x1), ty_Double, x2) new_primEqNat0(Succ(x0), Zero) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs24(x0, x1, ty_Bool) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs15(Just(x0), Just(x1), ty_Char) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs24(x0, x1, ty_@0) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs5(Right(x0), Right(x1), x2, ty_Double) new_esEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs15(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, ty_Int) new_esEs11(@0, @0) new_esEs20(x0, x1, ty_@0) new_esEs16(:%(x0, x1), :%(x2, x3), x4) new_esEs4(x0, x1, ty_Bool) new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_primEqNat0(Zero, Zero) new_esEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs4(x0, x1, ty_Integer) new_esEs18(x0, x1) new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs12(True, True) new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs26(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Integer) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, ty_Char) new_asAs(True, x0) new_esEs22(x0, x1, ty_Float) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs17(:(x0, x1), [], x2) new_primEqNat0(Zero, Succ(x0)) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Integer) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_@0) new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_asAs(False, x0) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_sr(Pos(x0), Pos(x1)) new_primPlusNat1(Succ(x0), Zero) new_deleteBy1(x0, [], x1) new_esEs20(x0, x1, ty_Integer) new_esEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(Right(x0), Right(x1), x2, ty_Float) new_primPlusNat1(Zero, Succ(x0)) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_primMulNat0(Succ(x0), Succ(x1)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_deleteBy1(x0, :(x1, x2), x3) new_esEs4(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs7(Float(x0, x1), Float(x2, x3)) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Ordering) new_esEs13(GT, GT) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Ordering) new_esEs5(Left(x0), Right(x1), x2, x3) new_esEs5(Right(x0), Left(x1), x2, x3) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (10) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_foldl(xy3, :(xy40, xy41), ba) -> new_foldl(new_deleteBy1(xy40, xy3, ba), xy41, ba) The graph contains the following edges 2 > 2, 3 >= 3 ---------------------------------------- (11) YES ---------------------------------------- (12) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(Left(xy400), Left(xy300), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xy400, xy300, bd, be, bf) new_esEs2(Just(xy400), Just(xy300), app(app(ty_@2, bcf), bcg)) -> new_esEs1(xy400, xy300, bcf, bcg) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(ty_Maybe, gb), ea) -> new_esEs2(xy401, xy301, gb) new_esEs(Right(xy400), Right(xy300), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xy400, xy300, cf, cg, da) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(ty_Maybe, eg), dh, ea) -> new_esEs2(xy400, xy300, eg) new_esEs3(:(xy400, xy401), :(xy300, xy301), app(app(ty_Either, bdb), bdc)) -> new_esEs(xy400, xy300, bdb, bdc) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(app(ty_@2, ha), hb)) -> new_esEs1(xy402, xy302, ha, hb) new_esEs(Right(xy400), Right(xy300), cc, app(app(ty_@2, db), dc)) -> new_esEs1(xy400, xy300, db, dc) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(app(ty_Either, df), dg), dh, ea) -> new_esEs(xy400, xy300, df, dg) new_esEs(Left(xy400), Left(xy300), app(ty_Maybe, ca), bc) -> new_esEs2(xy400, xy300, ca) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(xy401, xy301, fd, ff, fg) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(app(ty_@2, fh), ga), ea) -> new_esEs1(xy401, xy301, fh, ga) new_esEs3(:(xy400, xy401), :(xy300, xy301), app(ty_Maybe, bea)) -> new_esEs2(xy400, xy300, bea) new_esEs3(:(xy400, xy401), :(xy300, xy301), app(ty_[], beb)) -> new_esEs3(xy400, xy300, beb) new_esEs2(Just(xy400), Just(xy300), app(ty_Maybe, bch)) -> new_esEs2(xy400, xy300, bch) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(app(ty_Either, gd), ge)) -> new_esEs(xy402, xy302, gd, ge) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(app(ty_Either, bah), bba)) -> new_esEs(xy401, xy301, bah, bba) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xy400, xy300, hh, baa, bab) new_esEs(Left(xy400), Left(xy300), app(app(ty_@2, bg), bh), bc) -> new_esEs1(xy400, xy300, bg, bh) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(ty_[], hd)) -> new_esEs3(xy402, xy302, hd) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(ty_[], baf), hg) -> new_esEs3(xy400, xy300, baf) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(ty_Maybe, bbg)) -> new_esEs2(xy401, xy301, bbg) new_esEs2(Just(xy400), Just(xy300), app(ty_[], bda)) -> new_esEs3(xy400, xy300, bda) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(xy402, xy302, gf, gg, gh) new_esEs3(:(xy400, xy401), :(xy300, xy301), app(app(ty_@2, bdg), bdh)) -> new_esEs1(xy400, xy300, bdg, bdh) new_esEs(Right(xy400), Right(xy300), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xy400, xy300, cd, ce) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(xy402, xy302, hc) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(ty_[], bbh)) -> new_esEs3(xy401, xy301, bbh) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(ty_Maybe, bae), hg) -> new_esEs2(xy400, xy300, bae) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xy401, xy301, bbb, bbc, bbd) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(app(ty_Either, fb), fc), ea) -> new_esEs(xy401, xy301, fb, fc) new_esEs3(:(xy400, xy401), :(xy300, xy301), bec) -> new_esEs3(xy401, xy301, bec) new_esEs(Right(xy400), Right(xy300), cc, app(ty_[], de)) -> new_esEs3(xy400, xy300, de) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(ty_[], gc), ea) -> new_esEs3(xy401, xy301, gc) new_esEs(Left(xy400), Left(xy300), app(app(ty_Either, ba), bb), bc) -> new_esEs(xy400, xy300, ba, bb) new_esEs3(:(xy400, xy401), :(xy300, xy301), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(xy400, xy300, bdd, bde, bdf) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(ty_[], eh), dh, ea) -> new_esEs3(xy400, xy300, eh) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(app(ty_@2, bac), bad), hg) -> new_esEs1(xy400, xy300, bac, bad) new_esEs(Right(xy400), Right(xy300), cc, app(ty_Maybe, dd)) -> new_esEs2(xy400, xy300, dd) new_esEs2(Just(xy400), Just(xy300), app(app(ty_Either, bca), bcb)) -> new_esEs(xy400, xy300, bca, bcb) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(app(ty_Either, he), hf), hg) -> new_esEs(xy400, xy300, he, hf) new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(xy401, xy301, bbe, bbf) new_esEs2(Just(xy400), Just(xy300), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xy400, xy300, bcc, bcd, bce) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(app(app(ty_@3, eb), ec), ed), dh, ea) -> new_esEs0(xy400, xy300, eb, ec, ed) new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(app(ty_@2, ee), ef), dh, ea) -> new_esEs1(xy400, xy300, ee, ef) new_esEs(Left(xy400), Left(xy300), app(ty_[], cb), bc) -> new_esEs3(xy400, xy300, cb) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (13) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs2(Just(xy400), Just(xy300), app(app(ty_Either, bca), bcb)) -> new_esEs(xy400, xy300, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xy400), Just(xy300), app(ty_Maybe, bch)) -> new_esEs2(xy400, xy300, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy400), Just(xy300), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xy400, xy300, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(xy400, xy401), :(xy300, xy301), app(app(ty_Either, bdb), bdc)) -> new_esEs(xy400, xy300, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xy400, xy401), :(xy300, xy301), app(ty_Maybe, bea)) -> new_esEs2(xy400, xy300, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy400), Just(xy300), app(ty_[], bda)) -> new_esEs3(xy400, xy300, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy400), Just(xy300), app(app(ty_@2, bcf), bcg)) -> new_esEs1(xy400, xy300, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xy400, xy401), :(xy300, xy301), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(xy400, xy300, bdd, bde, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(xy400, xy401), :(xy300, xy301), app(app(ty_@2, bdg), bdh)) -> new_esEs1(xy400, xy300, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(app(ty_Either, df), dg), dh, ea) -> new_esEs(xy400, xy300, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(app(ty_Either, gd), ge)) -> new_esEs(xy402, xy302, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(app(ty_Either, fb), fc), ea) -> new_esEs(xy401, xy301, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(ty_Maybe, gb), ea) -> new_esEs2(xy401, xy301, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(ty_Maybe, eg), dh, ea) -> new_esEs2(xy400, xy300, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(xy402, xy302, hc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(xy401, xy301, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(xy402, xy302, gf, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(app(app(ty_@3, eb), ec), ed), dh, ea) -> new_esEs0(xy400, xy300, eb, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(ty_[], hd)) -> new_esEs3(xy402, xy302, hd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(ty_[], gc), ea) -> new_esEs3(xy401, xy301, gc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(ty_[], eh), dh, ea) -> new_esEs3(xy400, xy300, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, dh, app(app(ty_@2, ha), hb)) -> new_esEs1(xy402, xy302, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), fa, app(app(ty_@2, fh), ga), ea) -> new_esEs1(xy401, xy301, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), app(app(ty_@2, ee), ef), dh, ea) -> new_esEs1(xy400, xy300, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(app(ty_Either, bah), bba)) -> new_esEs(xy401, xy301, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(app(ty_Either, he), hf), hg) -> new_esEs(xy400, xy300, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xy400), Right(xy300), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xy400, xy300, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xy400), Left(xy300), app(app(ty_Either, ba), bb), bc) -> new_esEs(xy400, xy300, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(ty_Maybe, bbg)) -> new_esEs2(xy401, xy301, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(ty_Maybe, bae), hg) -> new_esEs2(xy400, xy300, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xy400, xy300, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xy401, xy301, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(ty_[], baf), hg) -> new_esEs3(xy400, xy300, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(ty_[], bbh)) -> new_esEs3(xy401, xy301, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), app(app(ty_@2, bac), bad), hg) -> new_esEs1(xy400, xy300, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xy400, xy401), @2(xy300, xy301), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(xy401, xy301, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xy400), Left(xy300), app(ty_Maybe, ca), bc) -> new_esEs2(xy400, xy300, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xy400), Right(xy300), cc, app(ty_Maybe, dd)) -> new_esEs2(xy400, xy300, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xy400), Left(xy300), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xy400, xy300, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xy400), Right(xy300), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xy400, xy300, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Right(xy400), Right(xy300), cc, app(ty_[], de)) -> new_esEs3(xy400, xy300, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xy400), Left(xy300), app(ty_[], cb), bc) -> new_esEs3(xy400, xy300, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xy400), Right(xy300), cc, app(app(ty_@2, db), dc)) -> new_esEs1(xy400, xy300, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xy400), Left(xy300), app(app(ty_@2, bg), bh), bc) -> new_esEs1(xy400, xy300, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xy400, xy401), :(xy300, xy301), app(ty_[], beb)) -> new_esEs3(xy400, xy300, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xy400, xy401), :(xy300, xy301), bec) -> new_esEs3(xy401, xy301, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (14) YES ---------------------------------------- (15) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy(xy40, :(xy30, xy31), bb) -> new_deleteBy0(xy31, xy30, xy40, new_esEs4(xy40, xy30, bb), bb) new_deleteBy0(xy10, xy11, xy12, False, ba) -> new_deleteBy(xy12, xy10, ba) The TRS R consists of the following rules: new_esEs23(xy401, xy301, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs10(xy401, xy301, bce, bcf, bcg) new_esEs22(xy400, xy300, app(ty_Ratio, bca)) -> new_esEs16(xy400, xy300, bca) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs19(xy400, xy300, ty_Float) -> new_esEs7(xy400, xy300) new_esEs23(xy401, xy301, app(ty_[], bdd)) -> new_esEs17(xy401, xy301, bdd) new_esEs4(xy40, xy30, app(ty_[], fa)) -> new_esEs17(xy40, xy30, fa) new_esEs19(xy400, xy300, app(app(ty_Either, fb), fc)) -> new_esEs5(xy400, xy300, fb, fc) new_esEs24(xy402, xy302, app(ty_Maybe, bed)) -> new_esEs15(xy402, xy302, bed) new_esEs4(xy40, xy30, ty_Integer) -> new_esEs9(xy40, xy30) new_esEs23(xy401, xy301, ty_Integer) -> new_esEs9(xy401, xy301) new_esEs23(xy401, xy301, ty_Ordering) -> new_esEs13(xy401, xy301) new_esEs5(Left(xy400), Left(xy300), ty_@0, be) -> new_esEs11(xy400, xy300) new_esEs19(xy400, xy300, ty_Double) -> new_esEs8(xy400, xy300) new_esEs4(xy40, xy30, ty_Double) -> new_esEs8(xy40, xy30) new_esEs24(xy402, xy302, ty_@0) -> new_esEs11(xy402, xy302) new_esEs23(xy401, xy301, ty_Char) -> new_esEs6(xy401, xy301) new_esEs21(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), ty_Int) -> new_esEs18(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), app(app(ty_@2, bfd), bfe)) -> new_esEs14(xy400, xy300, bfd, bfe) new_esEs5(Right(xy400), Right(xy300), cf, ty_@0) -> new_esEs11(xy400, xy300) new_esEs18(xy40, xy30) -> new_primEqInt(xy40, xy30) new_esEs24(xy402, xy302, app(ty_Ratio, bee)) -> new_esEs16(xy402, xy302, bee) new_esEs7(Float(xy400, xy401), Float(xy300, xy301)) -> new_esEs18(new_sr(xy400, xy301), new_sr(xy401, xy300)) new_asAs(True, xy32) -> xy32 new_esEs19(xy400, xy300, app(ty_[], gd)) -> new_esEs17(xy400, xy300, gd) new_esEs23(xy401, xy301, app(app(ty_Either, bcc), bcd)) -> new_esEs5(xy401, xy301, bcc, bcd) new_esEs15(Just(xy400), Just(xy300), app(ty_[], bfh)) -> new_esEs17(xy400, xy300, bfh) new_primEqInt(Pos(Succ(xy4000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy3000))) -> False new_esEs6(Char(xy400), Char(xy300)) -> new_primEqNat0(xy400, xy300) new_esEs21(xy400, xy300, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), cf, app(app(app(ty_@3, db), dc), dd)) -> new_esEs10(xy400, xy300, db, dc, dd) new_esEs23(xy401, xy301, ty_Float) -> new_esEs7(xy401, xy301) new_primEqNat0(Succ(xy4000), Succ(xy3000)) -> new_primEqNat0(xy4000, xy3000) new_esEs21(xy400, xy300, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs21(xy400, xy300, ty_Char) -> new_esEs6(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), app(app(app(ty_@3, bfa), bfb), bfc)) -> new_esEs10(xy400, xy300, bfa, bfb, bfc) new_esEs4(xy40, xy30, app(app(app(ty_@3, eb), ec), ed)) -> new_esEs10(xy40, xy30, eb, ec, ed) new_esEs14(@2(xy400, xy401), @2(xy300, xy301), ee, ef) -> new_asAs(new_esEs19(xy400, xy300, ee), new_esEs20(xy401, xy301, ef)) new_esEs19(xy400, xy300, app(app(app(ty_@3, fd), ff), fg)) -> new_esEs10(xy400, xy300, fd, ff, fg) new_esEs12(False, True) -> False new_esEs12(True, False) -> False new_esEs22(xy400, xy300, ty_@0) -> new_esEs11(xy400, xy300) new_esEs4(xy40, xy30, app(app(ty_@2, ee), ef)) -> new_esEs14(xy40, xy30, ee, ef) new_esEs15(Nothing, Just(xy300), eg) -> False new_esEs15(Just(xy400), Nothing, eg) -> False new_esEs15(Just(xy400), Just(xy300), app(app(ty_Either, beg), beh)) -> new_esEs5(xy400, xy300, beg, beh) new_primMulNat0(Zero, Zero) -> Zero new_esEs20(xy401, xy301, app(ty_Maybe, hd)) -> new_esEs15(xy401, xy301, hd) new_esEs15(Nothing, Nothing, eg) -> True new_esEs12(True, True) -> True new_esEs4(xy40, xy30, ty_Int) -> new_esEs18(xy40, xy30) new_esEs24(xy402, xy302, ty_Int) -> new_esEs18(xy402, xy302) new_esEs5(Left(xy400), Left(xy300), ty_Int, be) -> new_esEs18(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), ty_Float) -> new_esEs7(xy400, xy300) new_esEs23(xy401, xy301, ty_Bool) -> new_esEs12(xy401, xy301) new_esEs4(xy40, xy30, ty_Bool) -> new_esEs12(xy40, xy30) new_esEs5(Right(xy400), Right(xy300), cf, ty_Int) -> new_esEs18(xy400, xy300) new_esEs20(xy401, xy301, app(app(ty_Either, ge), gf)) -> new_esEs5(xy401, xy301, ge, gf) new_esEs5(Left(xy400), Left(xy300), ty_Float, be) -> new_esEs7(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), cf, app(app(ty_Either, cg), da)) -> new_esEs5(xy400, xy300, cg, da) new_primEqNat0(Succ(xy4000), Zero) -> False new_primEqNat0(Zero, Succ(xy3000)) -> False new_esEs20(xy401, xy301, app(ty_[], hf)) -> new_esEs17(xy401, xy301, hf) new_esEs5(Right(xy400), Right(xy300), cf, ty_Char) -> new_esEs6(xy400, xy300) new_esEs20(xy401, xy301, ty_Float) -> new_esEs7(xy401, xy301) new_esEs23(xy401, xy301, ty_Int) -> new_esEs18(xy401, xy301) new_esEs9(Integer(xy400), Integer(xy300)) -> new_primEqInt(xy400, xy300) new_esEs19(xy400, xy300, app(ty_Ratio, gc)) -> new_esEs16(xy400, xy300, gc) new_esEs23(xy401, xy301, ty_Double) -> new_esEs8(xy401, xy301) new_esEs24(xy402, xy302, ty_Float) -> new_esEs7(xy402, xy302) new_esEs13(LT, LT) -> True new_esEs22(xy400, xy300, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs21(xy400, xy300, app(ty_[], bah)) -> new_esEs17(xy400, xy300, bah) new_primEqInt(Neg(Succ(xy4000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy3000))) -> False new_esEs20(xy401, xy301, ty_Char) -> new_esEs6(xy401, xy301) new_esEs15(Just(xy400), Just(xy300), app(ty_Maybe, bff)) -> new_esEs15(xy400, xy300, bff) new_esEs20(xy401, xy301, app(ty_Ratio, he)) -> new_esEs16(xy401, xy301, he) new_primEqInt(Pos(Succ(xy4000)), Pos(Succ(xy3000))) -> new_primEqNat0(xy4000, xy3000) new_sr(Pos(xy4000), Neg(xy3010)) -> Neg(new_primMulNat0(xy4000, xy3010)) new_sr(Neg(xy4000), Pos(xy3010)) -> Neg(new_primMulNat0(xy4000, xy3010)) new_primPlusNat1(Succ(xy3300), Succ(xy301000)) -> Succ(Succ(new_primPlusNat1(xy3300, xy301000))) new_esEs4(xy40, xy30, ty_Ordering) -> new_esEs13(xy40, xy30) new_primEqInt(Pos(Succ(xy4000)), Neg(xy300)) -> False new_primEqInt(Neg(Succ(xy4000)), Pos(xy300)) -> False new_esEs5(Right(xy400), Right(xy300), cf, ty_Float) -> new_esEs7(xy400, xy300) new_esEs19(xy400, xy300, app(ty_Maybe, gb)) -> new_esEs15(xy400, xy300, gb) new_esEs21(xy400, xy300, app(app(ty_@2, bad), bae)) -> new_esEs14(xy400, xy300, bad, bae) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs15(Just(xy400), Just(xy300), ty_Char) -> new_esEs6(xy400, xy300) new_esEs19(xy400, xy300, ty_Char) -> new_esEs6(xy400, xy300) new_esEs21(xy400, xy300, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs10(xy400, xy300, baa, bab, bac) new_esEs22(xy400, xy300, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), cf, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs16(:%(xy400, xy401), :%(xy300, xy301), eh) -> new_asAs(new_esEs25(xy400, xy300, eh), new_esEs26(xy401, xy301, eh)) new_esEs15(Just(xy400), Just(xy300), app(ty_Ratio, bfg)) -> new_esEs16(xy400, xy300, bfg) new_esEs12(False, False) -> True new_esEs20(xy401, xy301, app(app(ty_@2, hb), hc)) -> new_esEs14(xy401, xy301, hb, hc) new_sr(Neg(xy4000), Neg(xy3010)) -> Pos(new_primMulNat0(xy4000, xy3010)) new_esEs22(xy400, xy300, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs10(xy400, xy300, bbc, bbd, bbe) new_esEs4(xy40, xy30, ty_@0) -> new_esEs11(xy40, xy30) new_esEs22(xy400, xy300, ty_Char) -> new_esEs6(xy400, xy300) new_esEs23(xy401, xy301, ty_@0) -> new_esEs11(xy401, xy301) new_esEs20(xy401, xy301, ty_Int) -> new_esEs18(xy401, xy301) new_esEs17([], [], fa) -> True new_esEs13(GT, GT) -> True new_esEs21(xy400, xy300, app(ty_Ratio, bag)) -> new_esEs16(xy400, xy300, bag) new_esEs23(xy401, xy301, app(ty_Maybe, bdb)) -> new_esEs15(xy401, xy301, bdb) new_esEs24(xy402, xy302, app(ty_[], bef)) -> new_esEs17(xy402, xy302, bef) new_esEs5(Right(xy400), Right(xy300), cf, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), cf, app(app(ty_@2, de), df)) -> new_esEs14(xy400, xy300, de, df) new_esEs4(xy40, xy30, app(ty_Ratio, eh)) -> new_esEs16(xy40, xy30, eh) new_primEqInt(Pos(Zero), Neg(Succ(xy3000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy3000))) -> False new_esEs5(Left(xy400), Right(xy300), cf, be) -> False new_esEs5(Right(xy400), Left(xy300), cf, be) -> False new_esEs20(xy401, xy301, ty_Bool) -> new_esEs12(xy401, xy301) new_esEs22(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs24(xy402, xy302, ty_Char) -> new_esEs6(xy402, xy302) new_esEs5(Left(xy400), Left(xy300), ty_Double, be) -> new_esEs8(xy400, xy300) new_esEs19(xy400, xy300, app(app(ty_@2, fh), ga)) -> new_esEs14(xy400, xy300, fh, ga) new_esEs5(Left(xy400), Left(xy300), app(ty_Maybe, cc), be) -> new_esEs15(xy400, xy300, cc) new_esEs10(@3(xy400, xy401, xy402), @3(xy300, xy301, xy302), eb, ec, ed) -> new_asAs(new_esEs22(xy400, xy300, eb), new_asAs(new_esEs23(xy401, xy301, ec), new_esEs24(xy402, xy302, ed))) new_esEs19(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_esEs24(xy402, xy302, app(app(ty_Either, bde), bdf)) -> new_esEs5(xy402, xy302, bde, bdf) new_primEqInt(Neg(Succ(xy4000)), Neg(Succ(xy3000))) -> new_primEqNat0(xy4000, xy3000) new_esEs22(xy400, xy300, app(app(ty_@2, bbf), bbg)) -> new_esEs14(xy400, xy300, bbf, bbg) new_primPlusNat0(Succ(xy330), xy30100) -> Succ(Succ(new_primPlusNat1(xy330, xy30100))) new_esEs22(xy400, xy300, ty_Double) -> new_esEs8(xy400, xy300) new_esEs24(xy402, xy302, ty_Double) -> new_esEs8(xy402, xy302) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs20(xy401, xy301, app(app(app(ty_@3, gg), gh), ha)) -> new_esEs10(xy401, xy301, gg, gh, ha) new_esEs19(xy400, xy300, ty_@0) -> new_esEs11(xy400, xy300) new_esEs21(xy400, xy300, app(ty_Maybe, baf)) -> new_esEs15(xy400, xy300, baf) new_esEs15(Just(xy400), Just(xy300), ty_@0) -> new_esEs11(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), ty_Char, be) -> new_esEs6(xy400, xy300) new_esEs25(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_primPlusNat1(Zero, Zero) -> Zero new_esEs22(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_primMulNat0(Succ(xy40000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy30100)) -> Zero new_sr(Pos(xy4000), Pos(xy3010)) -> Pos(new_primMulNat0(xy4000, xy3010)) new_esEs22(xy400, xy300, app(ty_[], bcb)) -> new_esEs17(xy400, xy300, bcb) new_esEs5(Right(xy400), Right(xy300), cf, ty_Double) -> new_esEs8(xy400, xy300) new_primPlusNat0(Zero, xy30100) -> Succ(xy30100) new_esEs24(xy402, xy302, ty_Ordering) -> new_esEs13(xy402, xy302) new_esEs24(xy402, xy302, ty_Integer) -> new_esEs9(xy402, xy302) new_esEs5(Left(xy400), Left(xy300), ty_Ordering, be) -> new_esEs13(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), ty_Integer, be) -> new_esEs9(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), app(app(ty_Either, bc), bd), be) -> new_esEs5(xy400, xy300, bc, bd) new_esEs5(Left(xy400), Left(xy300), app(ty_Ratio, cd), be) -> new_esEs16(xy400, xy300, cd) new_esEs8(Double(xy400, xy401), Double(xy300, xy301)) -> new_esEs18(new_sr(xy400, xy301), new_sr(xy401, xy300)) new_esEs24(xy402, xy302, app(app(ty_@2, beb), bec)) -> new_esEs14(xy402, xy302, beb, bec) new_esEs5(Left(xy400), Left(xy300), ty_Bool, be) -> new_esEs12(xy400, xy300) new_esEs22(xy400, xy300, ty_Float) -> new_esEs7(xy400, xy300) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs21(xy400, xy300, app(app(ty_Either, hg), hh)) -> new_esEs5(xy400, xy300, hg, hh) new_esEs20(xy401, xy301, ty_Ordering) -> new_esEs13(xy401, xy301) new_primMulNat0(Succ(xy40000), Succ(xy30100)) -> new_primPlusNat0(new_primMulNat0(xy40000, Succ(xy30100)), xy30100) new_esEs20(xy401, xy301, ty_Double) -> new_esEs8(xy401, xy301) new_esEs24(xy402, xy302, ty_Bool) -> new_esEs12(xy402, xy302) new_primPlusNat1(Succ(xy3300), Zero) -> Succ(xy3300) new_primPlusNat1(Zero, Succ(xy301000)) -> Succ(xy301000) new_esEs5(Right(xy400), Right(xy300), cf, app(ty_Maybe, dg)) -> new_esEs15(xy400, xy300, dg) new_esEs5(Left(xy400), Left(xy300), app(ty_[], ce), be) -> new_esEs17(xy400, xy300, ce) new_esEs21(xy400, xy300, ty_Float) -> new_esEs7(xy400, xy300) new_esEs11(@0, @0) -> True new_esEs20(xy401, xy301, ty_@0) -> new_esEs11(xy401, xy301) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs23(xy401, xy301, app(app(ty_@2, bch), bda)) -> new_esEs14(xy401, xy301, bch, bda) new_esEs21(xy400, xy300, ty_Double) -> new_esEs8(xy400, xy300) new_esEs26(xy401, xy301, ty_Integer) -> new_esEs9(xy401, xy301) new_esEs15(Just(xy400), Just(xy300), ty_Double) -> new_esEs8(xy400, xy300) new_esEs22(xy400, xy300, app(ty_Maybe, bbh)) -> new_esEs15(xy400, xy300, bbh) new_esEs26(xy401, xy301, ty_Int) -> new_esEs18(xy401, xy301) new_primEqNat0(Zero, Zero) -> True new_esEs21(xy400, xy300, ty_Int) -> new_esEs18(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), cf, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs4(xy40, xy30, ty_Float) -> new_esEs7(xy40, xy30) new_esEs4(xy40, xy30, app(app(ty_Either, cf), be)) -> new_esEs5(xy40, xy30, cf, be) new_esEs5(Left(xy400), Left(xy300), app(app(app(ty_@3, bf), bg), bh), be) -> new_esEs10(xy400, xy300, bf, bg, bh) new_esEs13(EQ, EQ) -> True new_esEs15(Just(xy400), Just(xy300), ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs15(Just(xy400), Just(xy300), ty_Integer) -> new_esEs9(xy400, xy300) new_esEs5(Left(xy400), Left(xy300), app(app(ty_@2, ca), cb), be) -> new_esEs14(xy400, xy300, ca, cb) new_esEs17(:(xy400, xy401), [], fa) -> False new_esEs17([], :(xy300, xy301), fa) -> False new_asAs(False, xy32) -> False new_esEs25(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs19(xy400, xy300, ty_Bool) -> new_esEs12(xy400, xy300) new_esEs21(xy400, xy300, ty_@0) -> new_esEs11(xy400, xy300) new_esEs19(xy400, xy300, ty_Integer) -> new_esEs9(xy400, xy300) new_esEs20(xy401, xy301, ty_Integer) -> new_esEs9(xy401, xy301) new_esEs23(xy401, xy301, app(ty_Ratio, bdc)) -> new_esEs16(xy401, xy301, bdc) new_esEs17(:(xy400, xy401), :(xy300, xy301), fa) -> new_asAs(new_esEs21(xy400, xy300, fa), new_esEs17(xy401, xy301, fa)) new_esEs24(xy402, xy302, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs10(xy402, xy302, bdg, bdh, bea) new_esEs15(Just(xy400), Just(xy300), ty_Bool) -> new_esEs12(xy400, xy300) new_esEs19(xy400, xy300, ty_Ordering) -> new_esEs13(xy400, xy300) new_esEs5(Right(xy400), Right(xy300), cf, app(ty_Ratio, dh)) -> new_esEs16(xy400, xy300, dh) new_esEs4(xy40, xy30, app(ty_Maybe, eg)) -> new_esEs15(xy40, xy30, eg) new_esEs22(xy400, xy300, app(app(ty_Either, bba), bbb)) -> new_esEs5(xy400, xy300, bba, bbb) new_esEs5(Right(xy400), Right(xy300), cf, app(ty_[], ea)) -> new_esEs17(xy400, xy300, ea) new_esEs4(xy40, xy30, ty_Char) -> new_esEs6(xy40, xy30) The set Q consists of the following terms: new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs5(Left(x0), Left(x1), ty_Float, x2) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs13(EQ, EQ) new_esEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs5(Right(x0), Right(x1), x2, ty_Double) new_esEs24(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Ordering) new_esEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs20(x0, x1, ty_Double) new_esEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs24(x0, x1, ty_Ordering) new_primMulNat0(Zero, Zero) new_esEs4(x0, x1, ty_Double) new_primPlusNat1(Zero, Zero) new_esEs23(x0, x1, ty_Float) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Float) new_esEs5(Left(x0), Right(x1), x2, x3) new_esEs5(Right(x0), Left(x1), x2, x3) new_esEs20(x0, x1, ty_Float) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(ty_[], x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs24(x0, x1, ty_Double) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs24(x0, x1, ty_Char) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, ty_Bool) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Char(x0), Char(x1)) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, ty_Int) new_esEs13(LT, LT) new_esEs15(Just(x0), Just(x1), ty_Bool) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Zero, Succ(x0)) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs23(x0, x1, ty_Double) new_esEs8(Double(x0, x1), Double(x2, x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs20(x0, x1, ty_Int) new_esEs22(x0, x1, ty_Double) new_primMulNat0(Succ(x0), Zero) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_esEs12(False, True) new_esEs12(True, False) new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs5(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs12(False, False) new_esEs9(Integer(x0), Integer(x1)) new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs21(x0, x1, ty_Bool) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs21(x0, x1, ty_Float) new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs4(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Bool) new_esEs4(x0, x1, ty_Int) new_esEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs17([], [], x0) new_esEs21(x0, x1, ty_Double) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_esEs16(:%(x0, x1), :%(x2, x3), x4) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_@0) new_esEs21(x0, x1, ty_Char) new_esEs19(x0, x1, ty_Char) new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs19(x0, x1, ty_Float) new_esEs19(x0, x1, ty_Double) new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs15(Just(x0), Just(x1), ty_@0) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs22(x0, x1, ty_Integer) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Float) new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs15(Just(x0), Just(x1), ty_Float) new_sr(Neg(x0), Neg(x1)) new_esEs19(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Int) new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_primPlusNat0(Succ(x0), x1) new_esEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_@0) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, ty_@0) new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, ty_Bool) new_esEs10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs24(x0, x1, ty_Integer) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs17(:(x0, x1), [], x2) new_primPlusNat0(Zero, x0) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, ty_Int) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs24(x0, x1, ty_Bool) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Just(x0), Just(x1), ty_Char) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs24(x0, x1, ty_@0) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs15(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, ty_Int) new_esEs11(@0, @0) new_esEs20(x0, x1, ty_@0) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs4(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_primEqNat0(Zero, Zero) new_esEs4(x0, x1, ty_Integer) new_esEs18(x0, x1) new_esEs12(True, True) new_esEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs26(x0, x1, ty_Integer) new_esEs14(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs23(x0, x1, ty_Integer) new_esEs15(Nothing, Nothing, x0) new_esEs20(x0, x1, ty_Char) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_asAs(True, x0) new_esEs22(x0, x1, ty_Float) new_primEqNat0(Zero, Succ(x0)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Integer) new_esEs19(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_@0) new_asAs(False, x0) new_sr(Pos(x0), Pos(x1)) new_primPlusNat1(Succ(x0), Zero) new_esEs20(x0, x1, ty_Integer) new_esEs5(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Succ(x0), Succ(x1)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs4(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs7(Float(x0, x1), Float(x2, x3)) new_esEs5(Right(x0), Right(x1), x2, ty_Integer) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs15(Nothing, Just(x0), x1) new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs13(GT, GT) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs21(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs15(Just(x0), Nothing, x1) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (16) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_deleteBy0(xy10, xy11, xy12, False, ba) -> new_deleteBy(xy12, xy10, ba) The graph contains the following edges 3 >= 1, 1 >= 2, 5 >= 3 *new_deleteBy(xy40, :(xy30, xy31), bb) -> new_deleteBy0(xy31, xy30, xy40, new_esEs4(xy40, xy30, bb), bb) The graph contains the following edges 2 > 1, 2 > 2, 1 >= 3, 3 >= 5 ---------------------------------------- (17) YES ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy40000), Succ(xy30100)) -> new_primMulNat(xy40000, Succ(xy30100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (19) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xy40000), Succ(xy30100)) -> new_primMulNat(xy40000, Succ(xy30100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (20) YES ---------------------------------------- (21) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy3300), Succ(xy301000)) -> new_primPlusNat(xy3300, xy301000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (22) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xy3300), Succ(xy301000)) -> new_primPlusNat(xy3300, xy301000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (23) YES ---------------------------------------- (24) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy4000), Succ(xy3000)) -> new_primEqNat(xy4000, xy3000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (25) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xy4000), Succ(xy3000)) -> new_primEqNat(xy4000, xy3000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (26) YES