/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) IFR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4)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, 11 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) AND (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 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 ---------------------------------------- (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; 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; 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; 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; 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.delete",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.delete xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.delete xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="List.deleteBy (==) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];678[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 6[label="",style="solid", color="burlywood", weight=3]; 679[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 7[label="",style="solid", color="burlywood", weight=3]; 6[label="List.deleteBy (==) xy3 (xy40 : xy41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="List.deleteBy (==) xy3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8 -> 10[label="",style="dashed", color="red", weight=0]; 8[label="List.deleteBy0 xy41 xy40 (==) xy3 ((==) xy3 xy40)",fontsize=16,color="magenta"];8 -> 11[label="",style="dashed", color="magenta", weight=3]; 8 -> 12[label="",style="dashed", color="magenta", weight=3]; 8 -> 13[label="",style="dashed", color="magenta", weight=3]; 8 -> 14[label="",style="dashed", color="magenta", weight=3]; 9[label="[]",fontsize=16,color="green",shape="box"];11[label="xy3",fontsize=16,color="green",shape="box"];12[label="xy41",fontsize=16,color="green",shape="box"];13[label="xy40",fontsize=16,color="green",shape="box"];14[label="(==) xy3 xy40",fontsize=16,color="blue",shape="box"];680[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 680[label="",style="solid", color="blue", weight=9]; 680 -> 15[label="",style="solid", color="blue", weight=3]; 681[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 681[label="",style="solid", color="blue", weight=9]; 681 -> 16[label="",style="solid", color="blue", weight=3]; 682[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 682[label="",style="solid", color="blue", weight=9]; 682 -> 17[label="",style="solid", color="blue", weight=3]; 683[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 683[label="",style="solid", color="blue", weight=9]; 683 -> 18[label="",style="solid", color="blue", weight=3]; 684[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 684[label="",style="solid", color="blue", weight=9]; 684 -> 19[label="",style="solid", color="blue", weight=3]; 685[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 685[label="",style="solid", color="blue", weight=9]; 685 -> 20[label="",style="solid", color="blue", weight=3]; 686[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 686[label="",style="solid", color="blue", weight=9]; 686 -> 21[label="",style="solid", color="blue", weight=3]; 687[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 687[label="",style="solid", color="blue", weight=9]; 687 -> 22[label="",style="solid", color="blue", weight=3]; 688[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 688[label="",style="solid", color="blue", weight=9]; 688 -> 23[label="",style="solid", color="blue", weight=3]; 689[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 689[label="",style="solid", color="blue", weight=9]; 689 -> 24[label="",style="solid", color="blue", weight=3]; 690[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 690[label="",style="solid", color="blue", weight=9]; 690 -> 25[label="",style="solid", color="blue", weight=3]; 691[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 691[label="",style="solid", color="blue", weight=9]; 691 -> 26[label="",style="solid", color="blue", weight=3]; 692[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 692[label="",style="solid", color="blue", weight=9]; 692 -> 27[label="",style="solid", color="blue", weight=3]; 693[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 693[label="",style="solid", color="blue", weight=9]; 693 -> 28[label="",style="solid", color="blue", weight=3]; 10[label="List.deleteBy0 xy10 xy11 (==) xy12 xy13",fontsize=16,color="burlywood",shape="triangle"];694[label="xy13/False",fontsize=10,color="white",style="solid",shape="box"];10 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 29[label="",style="solid", color="burlywood", weight=3]; 695[label="xy13/True",fontsize=10,color="white",style="solid",shape="box"];10 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 30[label="",style="solid", color="burlywood", weight=3]; 15[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];696[label="xy3/False",fontsize=10,color="white",style="solid",shape="box"];15 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 31[label="",style="solid", color="burlywood", weight=3]; 697[label="xy3/True",fontsize=10,color="white",style="solid",shape="box"];15 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 32[label="",style="solid", color="burlywood", weight=3]; 16[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];698[label="xy3/xy30 :% xy31",fontsize=10,color="white",style="solid",shape="box"];16 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 33[label="",style="solid", color="burlywood", weight=3]; 17[label="(==) xy3 xy40",fontsize=16,color="black",shape="triangle"];17 -> 34[label="",style="solid", color="black", weight=3]; 18[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];699[label="xy3/(xy30,xy31,xy32)",fontsize=10,color="white",style="solid",shape="box"];18 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 35[label="",style="solid", color="burlywood", weight=3]; 19[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];700[label="xy3/Nothing",fontsize=10,color="white",style="solid",shape="box"];19 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 36[label="",style="solid", color="burlywood", weight=3]; 701[label="xy3/Just xy30",fontsize=10,color="white",style="solid",shape="box"];19 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 37[label="",style="solid", color="burlywood", weight=3]; 20[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];702[label="xy3/()",fontsize=10,color="white",style="solid",shape="box"];20 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 38[label="",style="solid", color="burlywood", weight=3]; 21[label="(==) xy3 xy40",fontsize=16,color="black",shape="triangle"];21 -> 39[label="",style="solid", color="black", weight=3]; 22[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];703[label="xy3/Left xy30",fontsize=10,color="white",style="solid",shape="box"];22 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 40[label="",style="solid", color="burlywood", weight=3]; 704[label="xy3/Right xy30",fontsize=10,color="white",style="solid",shape="box"];22 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 41[label="",style="solid", color="burlywood", weight=3]; 23[label="(==) xy3 xy40",fontsize=16,color="black",shape="triangle"];23 -> 42[label="",style="solid", color="black", weight=3]; 24[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];705[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];24 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 43[label="",style="solid", color="burlywood", weight=3]; 706[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];24 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 44[label="",style="solid", color="burlywood", weight=3]; 25[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];707[label="xy3/Integer xy30",fontsize=10,color="white",style="solid",shape="box"];25 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 45[label="",style="solid", color="burlywood", weight=3]; 26[label="(==) xy3 xy40",fontsize=16,color="black",shape="triangle"];26 -> 46[label="",style="solid", color="black", weight=3]; 27[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];708[label="xy3/LT",fontsize=10,color="white",style="solid",shape="box"];27 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 47[label="",style="solid", color="burlywood", weight=3]; 709[label="xy3/EQ",fontsize=10,color="white",style="solid",shape="box"];27 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 48[label="",style="solid", color="burlywood", weight=3]; 710[label="xy3/GT",fontsize=10,color="white",style="solid",shape="box"];27 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 49[label="",style="solid", color="burlywood", weight=3]; 28[label="(==) xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];711[label="xy3/(xy30,xy31)",fontsize=10,color="white",style="solid",shape="box"];28 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 50[label="",style="solid", color="burlywood", weight=3]; 29[label="List.deleteBy0 xy10 xy11 (==) xy12 False",fontsize=16,color="black",shape="box"];29 -> 51[label="",style="solid", color="black", weight=3]; 30[label="List.deleteBy0 xy10 xy11 (==) xy12 True",fontsize=16,color="black",shape="box"];30 -> 52[label="",style="solid", color="black", weight=3]; 31[label="(==) False xy40",fontsize=16,color="burlywood",shape="box"];712[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];31 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 53[label="",style="solid", color="burlywood", weight=3]; 713[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];31 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 54[label="",style="solid", color="burlywood", weight=3]; 32[label="(==) True xy40",fontsize=16,color="burlywood",shape="box"];714[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];32 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 55[label="",style="solid", color="burlywood", weight=3]; 715[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];32 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 56[label="",style="solid", color="burlywood", weight=3]; 33[label="(==) xy30 :% xy31 xy40",fontsize=16,color="burlywood",shape="box"];716[label="xy40/xy400 :% xy401",fontsize=10,color="white",style="solid",shape="box"];33 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 57[label="",style="solid", color="burlywood", weight=3]; 34[label="primEqFloat xy3 xy40",fontsize=16,color="burlywood",shape="box"];717[label="xy3/Float xy30 xy31",fontsize=10,color="white",style="solid",shape="box"];34 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 58[label="",style="solid", color="burlywood", weight=3]; 35[label="(==) (xy30,xy31,xy32) xy40",fontsize=16,color="burlywood",shape="box"];718[label="xy40/(xy400,xy401,xy402)",fontsize=10,color="white",style="solid",shape="box"];35 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 59[label="",style="solid", color="burlywood", weight=3]; 36[label="(==) Nothing xy40",fontsize=16,color="burlywood",shape="box"];719[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];36 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 60[label="",style="solid", color="burlywood", weight=3]; 720[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];36 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 61[label="",style="solid", color="burlywood", weight=3]; 37[label="(==) Just xy30 xy40",fontsize=16,color="burlywood",shape="box"];721[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];37 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 62[label="",style="solid", color="burlywood", weight=3]; 722[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];37 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 63[label="",style="solid", color="burlywood", weight=3]; 38[label="(==) () xy40",fontsize=16,color="burlywood",shape="box"];723[label="xy40/()",fontsize=10,color="white",style="solid",shape="box"];38 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 64[label="",style="solid", color="burlywood", weight=3]; 39[label="primEqInt xy3 xy40",fontsize=16,color="burlywood",shape="triangle"];724[label="xy3/Pos xy30",fontsize=10,color="white",style="solid",shape="box"];39 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 65[label="",style="solid", color="burlywood", weight=3]; 725[label="xy3/Neg xy30",fontsize=10,color="white",style="solid",shape="box"];39 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 66[label="",style="solid", color="burlywood", weight=3]; 40[label="(==) Left xy30 xy40",fontsize=16,color="burlywood",shape="box"];726[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];40 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 67[label="",style="solid", color="burlywood", weight=3]; 727[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];40 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 68[label="",style="solid", color="burlywood", weight=3]; 41[label="(==) Right xy30 xy40",fontsize=16,color="burlywood",shape="box"];728[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];41 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 69[label="",style="solid", color="burlywood", weight=3]; 729[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];41 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 70[label="",style="solid", color="burlywood", weight=3]; 42[label="primEqChar xy3 xy40",fontsize=16,color="burlywood",shape="box"];730[label="xy3/Char xy30",fontsize=10,color="white",style="solid",shape="box"];42 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 71[label="",style="solid", color="burlywood", weight=3]; 43[label="(==) xy30 : xy31 xy40",fontsize=16,color="burlywood",shape="box"];731[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];43 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 72[label="",style="solid", color="burlywood", weight=3]; 732[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];43 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 73[label="",style="solid", color="burlywood", weight=3]; 44[label="(==) [] xy40",fontsize=16,color="burlywood",shape="box"];733[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];44 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 74[label="",style="solid", color="burlywood", weight=3]; 734[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];44 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 75[label="",style="solid", color="burlywood", weight=3]; 45[label="(==) Integer xy30 xy40",fontsize=16,color="burlywood",shape="box"];735[label="xy40/Integer xy400",fontsize=10,color="white",style="solid",shape="box"];45 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 76[label="",style="solid", color="burlywood", weight=3]; 46[label="primEqDouble xy3 xy40",fontsize=16,color="burlywood",shape="box"];736[label="xy3/Double xy30 xy31",fontsize=10,color="white",style="solid",shape="box"];46 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 77[label="",style="solid", color="burlywood", weight=3]; 47[label="(==) LT xy40",fontsize=16,color="burlywood",shape="box"];737[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];47 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 78[label="",style="solid", color="burlywood", weight=3]; 738[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];47 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 79[label="",style="solid", color="burlywood", weight=3]; 739[label="xy40/GT",fontsize=10,color="white",style="solid",shape="box"];47 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 80[label="",style="solid", color="burlywood", weight=3]; 48[label="(==) EQ xy40",fontsize=16,color="burlywood",shape="box"];740[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];48 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 81[label="",style="solid", color="burlywood", weight=3]; 741[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];48 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 82[label="",style="solid", color="burlywood", weight=3]; 742[label="xy40/GT",fontsize=10,color="white",style="solid",shape="box"];48 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 83[label="",style="solid", color="burlywood", weight=3]; 49[label="(==) GT xy40",fontsize=16,color="burlywood",shape="box"];743[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];49 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 84[label="",style="solid", color="burlywood", weight=3]; 744[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];49 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 85[label="",style="solid", color="burlywood", weight=3]; 745[label="xy40/GT",fontsize=10,color="white",style="solid",shape="box"];49 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 86[label="",style="solid", color="burlywood", weight=3]; 50[label="(==) (xy30,xy31) xy40",fontsize=16,color="burlywood",shape="box"];746[label="xy40/(xy400,xy401)",fontsize=10,color="white",style="solid",shape="box"];50 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 87[label="",style="solid", color="burlywood", weight=3]; 51[label="xy11 : List.deleteBy (==) xy12 xy10",fontsize=16,color="green",shape="box"];51 -> 88[label="",style="dashed", color="green", weight=3]; 52[label="xy10",fontsize=16,color="green",shape="box"];53[label="(==) False False",fontsize=16,color="black",shape="box"];53 -> 89[label="",style="solid", color="black", weight=3]; 54[label="(==) False True",fontsize=16,color="black",shape="box"];54 -> 90[label="",style="solid", color="black", weight=3]; 55[label="(==) True False",fontsize=16,color="black",shape="box"];55 -> 91[label="",style="solid", color="black", weight=3]; 56[label="(==) True True",fontsize=16,color="black",shape="box"];56 -> 92[label="",style="solid", color="black", weight=3]; 57[label="(==) xy30 :% xy31 xy400 :% xy401",fontsize=16,color="black",shape="box"];57 -> 93[label="",style="solid", color="black", weight=3]; 58[label="primEqFloat (Float xy30 xy31) xy40",fontsize=16,color="burlywood",shape="box"];747[label="xy40/Float xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];58 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 94[label="",style="solid", color="burlywood", weight=3]; 59[label="(==) (xy30,xy31,xy32) (xy400,xy401,xy402)",fontsize=16,color="black",shape="box"];59 -> 95[label="",style="solid", color="black", weight=3]; 60[label="(==) Nothing Nothing",fontsize=16,color="black",shape="box"];60 -> 96[label="",style="solid", color="black", weight=3]; 61[label="(==) Nothing Just xy400",fontsize=16,color="black",shape="box"];61 -> 97[label="",style="solid", color="black", weight=3]; 62[label="(==) Just xy30 Nothing",fontsize=16,color="black",shape="box"];62 -> 98[label="",style="solid", color="black", weight=3]; 63[label="(==) Just xy30 Just xy400",fontsize=16,color="black",shape="box"];63 -> 99[label="",style="solid", color="black", weight=3]; 64[label="(==) () ()",fontsize=16,color="black",shape="box"];64 -> 100[label="",style="solid", color="black", weight=3]; 65[label="primEqInt (Pos xy30) xy40",fontsize=16,color="burlywood",shape="box"];748[label="xy30/Succ xy300",fontsize=10,color="white",style="solid",shape="box"];65 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 101[label="",style="solid", color="burlywood", weight=3]; 749[label="xy30/Zero",fontsize=10,color="white",style="solid",shape="box"];65 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 102[label="",style="solid", color="burlywood", weight=3]; 66[label="primEqInt (Neg xy30) xy40",fontsize=16,color="burlywood",shape="box"];750[label="xy30/Succ xy300",fontsize=10,color="white",style="solid",shape="box"];66 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 103[label="",style="solid", color="burlywood", weight=3]; 751[label="xy30/Zero",fontsize=10,color="white",style="solid",shape="box"];66 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 104[label="",style="solid", color="burlywood", weight=3]; 67[label="(==) Left xy30 Left xy400",fontsize=16,color="black",shape="box"];67 -> 105[label="",style="solid", color="black", weight=3]; 68[label="(==) Left xy30 Right xy400",fontsize=16,color="black",shape="box"];68 -> 106[label="",style="solid", color="black", weight=3]; 69[label="(==) Right xy30 Left xy400",fontsize=16,color="black",shape="box"];69 -> 107[label="",style="solid", color="black", weight=3]; 70[label="(==) Right xy30 Right xy400",fontsize=16,color="black",shape="box"];70 -> 108[label="",style="solid", color="black", weight=3]; 71[label="primEqChar (Char xy30) xy40",fontsize=16,color="burlywood",shape="box"];752[label="xy40/Char xy400",fontsize=10,color="white",style="solid",shape="box"];71 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 109[label="",style="solid", color="burlywood", weight=3]; 72[label="(==) xy30 : xy31 xy400 : xy401",fontsize=16,color="black",shape="box"];72 -> 110[label="",style="solid", color="black", weight=3]; 73[label="(==) xy30 : xy31 []",fontsize=16,color="black",shape="box"];73 -> 111[label="",style="solid", color="black", weight=3]; 74[label="(==) [] xy400 : xy401",fontsize=16,color="black",shape="box"];74 -> 112[label="",style="solid", color="black", weight=3]; 75[label="(==) [] []",fontsize=16,color="black",shape="box"];75 -> 113[label="",style="solid", color="black", weight=3]; 76[label="(==) Integer xy30 Integer xy400",fontsize=16,color="black",shape="box"];76 -> 114[label="",style="solid", color="black", weight=3]; 77[label="primEqDouble (Double xy30 xy31) xy40",fontsize=16,color="burlywood",shape="box"];753[label="xy40/Double xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];77 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 115[label="",style="solid", color="burlywood", weight=3]; 78[label="(==) LT LT",fontsize=16,color="black",shape="box"];78 -> 116[label="",style="solid", color="black", weight=3]; 79[label="(==) LT EQ",fontsize=16,color="black",shape="box"];79 -> 117[label="",style="solid", color="black", weight=3]; 80[label="(==) LT GT",fontsize=16,color="black",shape="box"];80 -> 118[label="",style="solid", color="black", weight=3]; 81[label="(==) EQ LT",fontsize=16,color="black",shape="box"];81 -> 119[label="",style="solid", color="black", weight=3]; 82[label="(==) EQ EQ",fontsize=16,color="black",shape="box"];82 -> 120[label="",style="solid", color="black", weight=3]; 83[label="(==) EQ GT",fontsize=16,color="black",shape="box"];83 -> 121[label="",style="solid", color="black", weight=3]; 84[label="(==) GT LT",fontsize=16,color="black",shape="box"];84 -> 122[label="",style="solid", color="black", weight=3]; 85[label="(==) GT EQ",fontsize=16,color="black",shape="box"];85 -> 123[label="",style="solid", color="black", weight=3]; 86[label="(==) GT GT",fontsize=16,color="black",shape="box"];86 -> 124[label="",style="solid", color="black", weight=3]; 87[label="(==) (xy30,xy31) (xy400,xy401)",fontsize=16,color="black",shape="box"];87 -> 125[label="",style="solid", color="black", weight=3]; 88 -> 5[label="",style="dashed", color="red", weight=0]; 88[label="List.deleteBy (==) xy12 xy10",fontsize=16,color="magenta"];88 -> 126[label="",style="dashed", color="magenta", weight=3]; 88 -> 127[label="",style="dashed", color="magenta", weight=3]; 89[label="True",fontsize=16,color="green",shape="box"];90[label="False",fontsize=16,color="green",shape="box"];91[label="False",fontsize=16,color="green",shape="box"];92[label="True",fontsize=16,color="green",shape="box"];93 -> 206[label="",style="dashed", color="red", weight=0]; 93[label="xy30 == xy400 && xy31 == xy401",fontsize=16,color="magenta"];93 -> 207[label="",style="dashed", color="magenta", weight=3]; 93 -> 208[label="",style="dashed", color="magenta", weight=3]; 94[label="primEqFloat (Float xy30 xy31) (Float xy400 xy401)",fontsize=16,color="black",shape="box"];94 -> 138[label="",style="solid", color="black", weight=3]; 95 -> 206[label="",style="dashed", color="red", weight=0]; 95[label="xy30 == xy400 && xy31 == xy401 && xy32 == xy402",fontsize=16,color="magenta"];95 -> 209[label="",style="dashed", color="magenta", weight=3]; 95 -> 210[label="",style="dashed", color="magenta", weight=3]; 96[label="True",fontsize=16,color="green",shape="box"];97[label="False",fontsize=16,color="green",shape="box"];98[label="False",fontsize=16,color="green",shape="box"];99[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];754[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 150[label="",style="solid", color="blue", weight=3]; 755[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 151[label="",style="solid", color="blue", weight=3]; 756[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 152[label="",style="solid", color="blue", weight=3]; 757[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 153[label="",style="solid", color="blue", weight=3]; 758[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 154[label="",style="solid", color="blue", weight=3]; 759[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 155[label="",style="solid", color="blue", weight=3]; 760[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 156[label="",style="solid", color="blue", weight=3]; 761[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 157[label="",style="solid", color="blue", weight=3]; 762[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 158[label="",style="solid", color="blue", weight=3]; 763[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 159[label="",style="solid", color="blue", weight=3]; 764[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 160[label="",style="solid", color="blue", weight=3]; 765[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 161[label="",style="solid", color="blue", weight=3]; 766[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 162[label="",style="solid", color="blue", weight=3]; 767[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 163[label="",style="solid", color="blue", weight=3]; 100[label="True",fontsize=16,color="green",shape="box"];101[label="primEqInt (Pos (Succ xy300)) xy40",fontsize=16,color="burlywood",shape="box"];768[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];101 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 164[label="",style="solid", color="burlywood", weight=3]; 769[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];101 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 165[label="",style="solid", color="burlywood", weight=3]; 102[label="primEqInt (Pos Zero) xy40",fontsize=16,color="burlywood",shape="box"];770[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];102 -> 770[label="",style="solid", color="burlywood", weight=9]; 770 -> 166[label="",style="solid", color="burlywood", weight=3]; 771[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];102 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 167[label="",style="solid", color="burlywood", weight=3]; 103[label="primEqInt (Neg (Succ xy300)) xy40",fontsize=16,color="burlywood",shape="box"];772[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];103 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 168[label="",style="solid", color="burlywood", weight=3]; 773[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];103 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 169[label="",style="solid", color="burlywood", weight=3]; 104[label="primEqInt (Neg Zero) xy40",fontsize=16,color="burlywood",shape="box"];774[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];104 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 170[label="",style="solid", color="burlywood", weight=3]; 775[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];104 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 171[label="",style="solid", color="burlywood", weight=3]; 105[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];776[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 172[label="",style="solid", color="blue", weight=3]; 777[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 173[label="",style="solid", color="blue", weight=3]; 778[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 174[label="",style="solid", color="blue", weight=3]; 779[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 175[label="",style="solid", color="blue", weight=3]; 780[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 176[label="",style="solid", color="blue", weight=3]; 781[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 177[label="",style="solid", color="blue", weight=3]; 782[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 178[label="",style="solid", color="blue", weight=3]; 783[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 179[label="",style="solid", color="blue", weight=3]; 784[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 180[label="",style="solid", color="blue", weight=3]; 785[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 181[label="",style="solid", color="blue", weight=3]; 786[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 182[label="",style="solid", color="blue", weight=3]; 787[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 183[label="",style="solid", color="blue", weight=3]; 788[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 184[label="",style="solid", color="blue", weight=3]; 789[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 185[label="",style="solid", color="blue", weight=3]; 106[label="False",fontsize=16,color="green",shape="box"];107[label="False",fontsize=16,color="green",shape="box"];108[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];790[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 186[label="",style="solid", color="blue", weight=3]; 791[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 187[label="",style="solid", color="blue", weight=3]; 792[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 188[label="",style="solid", color="blue", weight=3]; 793[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 189[label="",style="solid", color="blue", weight=3]; 794[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 190[label="",style="solid", color="blue", weight=3]; 795[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 191[label="",style="solid", color="blue", weight=3]; 796[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 192[label="",style="solid", color="blue", weight=3]; 797[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 193[label="",style="solid", color="blue", weight=3]; 798[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 194[label="",style="solid", color="blue", weight=3]; 799[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 195[label="",style="solid", color="blue", weight=3]; 800[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 196[label="",style="solid", color="blue", weight=3]; 801[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 197[label="",style="solid", color="blue", weight=3]; 802[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 198[label="",style="solid", color="blue", weight=3]; 803[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];108 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 199[label="",style="solid", color="blue", weight=3]; 109[label="primEqChar (Char xy30) (Char xy400)",fontsize=16,color="black",shape="box"];109 -> 200[label="",style="solid", color="black", weight=3]; 110 -> 206[label="",style="dashed", color="red", weight=0]; 110[label="xy30 == xy400 && xy31 == xy401",fontsize=16,color="magenta"];110 -> 211[label="",style="dashed", color="magenta", weight=3]; 110 -> 212[label="",style="dashed", color="magenta", weight=3]; 111[label="False",fontsize=16,color="green",shape="box"];112[label="False",fontsize=16,color="green",shape="box"];113[label="True",fontsize=16,color="green",shape="box"];114 -> 39[label="",style="dashed", color="red", weight=0]; 114[label="primEqInt xy30 xy400",fontsize=16,color="magenta"];114 -> 201[label="",style="dashed", color="magenta", weight=3]; 114 -> 202[label="",style="dashed", color="magenta", weight=3]; 115[label="primEqDouble (Double xy30 xy31) (Double xy400 xy401)",fontsize=16,color="black",shape="box"];115 -> 203[label="",style="solid", color="black", weight=3]; 116[label="True",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="False",fontsize=16,color="green",shape="box"];120[label="True",fontsize=16,color="green",shape="box"];121[label="False",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="True",fontsize=16,color="green",shape="box"];125 -> 206[label="",style="dashed", color="red", weight=0]; 125[label="xy30 == xy400 && xy31 == xy401",fontsize=16,color="magenta"];125 -> 213[label="",style="dashed", color="magenta", weight=3]; 125 -> 214[label="",style="dashed", color="magenta", weight=3]; 126[label="xy10",fontsize=16,color="green",shape="box"];127[label="xy12",fontsize=16,color="green",shape="box"];207[label="xy31 == xy401",fontsize=16,color="blue",shape="box"];804[label="== :: Int -> Int -> 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xy26",fontsize=16,color="burlywood",shape="triangle"];808[label="xy25/False",fontsize=10,color="white",style="solid",shape="box"];206 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 223[label="",style="solid", color="burlywood", weight=3]; 809[label="xy25/True",fontsize=10,color="white",style="solid",shape="box"];206 -> 809[label="",style="solid", color="burlywood", weight=9]; 809 -> 224[label="",style="solid", color="burlywood", weight=3]; 138 -> 21[label="",style="dashed", color="red", weight=0]; 138[label="xy30 * xy401 == xy31 * xy400",fontsize=16,color="magenta"];138 -> 225[label="",style="dashed", color="magenta", weight=3]; 138 -> 226[label="",style="dashed", color="magenta", weight=3]; 209 -> 206[label="",style="dashed", color="red", weight=0]; 209[label="xy31 == xy401 && xy32 == xy402",fontsize=16,color="magenta"];209 -> 227[label="",style="dashed", color="magenta", weight=3]; 209 -> 228[label="",style="dashed", color="magenta", weight=3]; 210[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];810[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 229[label="",style="solid", color="blue", weight=3]; 811[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 230[label="",style="solid", color="blue", weight=3]; 812[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 231[label="",style="solid", color="blue", weight=3]; 813[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 232[label="",style="solid", color="blue", weight=3]; 814[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 233[label="",style="solid", color="blue", weight=3]; 815[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 234[label="",style="solid", color="blue", weight=3]; 816[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 235[label="",style="solid", color="blue", weight=3]; 817[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 236[label="",style="solid", color="blue", weight=3]; 818[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 237[label="",style="solid", color="blue", weight=3]; 819[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 238[label="",style="solid", color="blue", weight=3]; 820[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 239[label="",style="solid", color="blue", weight=3]; 821[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 240[label="",style="solid", color="blue", weight=3]; 822[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 241[label="",style="solid", color="blue", weight=3]; 823[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];210 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 242[label="",style="solid", color="blue", weight=3]; 150 -> 15[label="",style="dashed", color="red", weight=0]; 150[label="xy30 == xy400",fontsize=16,color="magenta"];150 -> 243[label="",style="dashed", color="magenta", weight=3]; 150 -> 244[label="",style="dashed", color="magenta", weight=3]; 151 -> 16[label="",style="dashed", color="red", weight=0]; 151[label="xy30 == xy400",fontsize=16,color="magenta"];151 -> 245[label="",style="dashed", color="magenta", weight=3]; 151 -> 246[label="",style="dashed", color="magenta", weight=3]; 152 -> 17[label="",style="dashed", color="red", weight=0]; 152[label="xy30 == xy400",fontsize=16,color="magenta"];152 -> 247[label="",style="dashed", color="magenta", weight=3]; 152 -> 248[label="",style="dashed", color="magenta", weight=3]; 153 -> 18[label="",style="dashed", color="red", weight=0]; 153[label="xy30 == xy400",fontsize=16,color="magenta"];153 -> 249[label="",style="dashed", color="magenta", weight=3]; 153 -> 250[label="",style="dashed", color="magenta", weight=3]; 154 -> 19[label="",style="dashed", color="red", weight=0]; 154[label="xy30 == xy400",fontsize=16,color="magenta"];154 -> 251[label="",style="dashed", color="magenta", weight=3]; 154 -> 252[label="",style="dashed", color="magenta", weight=3]; 155 -> 20[label="",style="dashed", color="red", weight=0]; 155[label="xy30 == xy400",fontsize=16,color="magenta"];155 -> 253[label="",style="dashed", color="magenta", weight=3]; 155 -> 254[label="",style="dashed", color="magenta", weight=3]; 156 -> 21[label="",style="dashed", color="red", weight=0]; 156[label="xy30 == xy400",fontsize=16,color="magenta"];156 -> 255[label="",style="dashed", color="magenta", weight=3]; 156 -> 256[label="",style="dashed", color="magenta", weight=3]; 157 -> 22[label="",style="dashed", color="red", weight=0]; 157[label="xy30 == xy400",fontsize=16,color="magenta"];157 -> 257[label="",style="dashed", color="magenta", weight=3]; 157 -> 258[label="",style="dashed", color="magenta", weight=3]; 158 -> 23[label="",style="dashed", color="red", weight=0]; 158[label="xy30 == xy400",fontsize=16,color="magenta"];158 -> 259[label="",style="dashed", color="magenta", weight=3]; 158 -> 260[label="",style="dashed", color="magenta", weight=3]; 159 -> 24[label="",style="dashed", color="red", weight=0]; 159[label="xy30 == xy400",fontsize=16,color="magenta"];159 -> 261[label="",style="dashed", color="magenta", weight=3]; 159 -> 262[label="",style="dashed", color="magenta", weight=3]; 160 -> 25[label="",style="dashed", color="red", weight=0]; 160[label="xy30 == xy400",fontsize=16,color="magenta"];160 -> 263[label="",style="dashed", color="magenta", weight=3]; 160 -> 264[label="",style="dashed", color="magenta", weight=3]; 161 -> 26[label="",style="dashed", color="red", weight=0]; 161[label="xy30 == xy400",fontsize=16,color="magenta"];161 -> 265[label="",style="dashed", color="magenta", weight=3]; 161 -> 266[label="",style="dashed", color="magenta", weight=3]; 162 -> 27[label="",style="dashed", color="red", weight=0]; 162[label="xy30 == xy400",fontsize=16,color="magenta"];162 -> 267[label="",style="dashed", color="magenta", weight=3]; 162 -> 268[label="",style="dashed", color="magenta", weight=3]; 163 -> 28[label="",style="dashed", color="red", weight=0]; 163[label="xy30 == xy400",fontsize=16,color="magenta"];163 -> 269[label="",style="dashed", color="magenta", weight=3]; 163 -> 270[label="",style="dashed", color="magenta", weight=3]; 164[label="primEqInt (Pos (Succ xy300)) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];824[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];164 -> 824[label="",style="solid", color="burlywood", weight=9]; 824 -> 271[label="",style="solid", color="burlywood", weight=3]; 825[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];164 -> 825[label="",style="solid", color="burlywood", weight=9]; 825 -> 272[label="",style="solid", color="burlywood", weight=3]; 165[label="primEqInt (Pos (Succ xy300)) (Neg xy400)",fontsize=16,color="black",shape="box"];165 -> 273[label="",style="solid", color="black", weight=3]; 166[label="primEqInt (Pos Zero) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];826[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];166 -> 826[label="",style="solid", color="burlywood", weight=9]; 826 -> 274[label="",style="solid", color="burlywood", weight=3]; 827[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];166 -> 827[label="",style="solid", color="burlywood", weight=9]; 827 -> 275[label="",style="solid", color="burlywood", weight=3]; 167[label="primEqInt (Pos Zero) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];828[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];167 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 276[label="",style="solid", color="burlywood", weight=3]; 829[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];167 -> 829[label="",style="solid", color="burlywood", weight=9]; 829 -> 277[label="",style="solid", color="burlywood", weight=3]; 168[label="primEqInt (Neg (Succ xy300)) (Pos xy400)",fontsize=16,color="black",shape="box"];168 -> 278[label="",style="solid", color="black", weight=3]; 169[label="primEqInt (Neg (Succ xy300)) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];830[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];169 -> 830[label="",style="solid", color="burlywood", weight=9]; 830 -> 279[label="",style="solid", color="burlywood", weight=3]; 831[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];169 -> 831[label="",style="solid", color="burlywood", weight=9]; 831 -> 280[label="",style="solid", color="burlywood", weight=3]; 170[label="primEqInt (Neg Zero) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];832[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];170 -> 832[label="",style="solid", color="burlywood", weight=9]; 832 -> 281[label="",style="solid", color="burlywood", weight=3]; 833[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];170 -> 833[label="",style="solid", color="burlywood", weight=9]; 833 -> 282[label="",style="solid", color="burlywood", weight=3]; 171[label="primEqInt (Neg Zero) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];834[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];171 -> 834[label="",style="solid", color="burlywood", weight=9]; 834 -> 283[label="",style="solid", color="burlywood", weight=3]; 835[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];171 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 284[label="",style="solid", color="burlywood", weight=3]; 172 -> 15[label="",style="dashed", color="red", weight=0]; 172[label="xy30 == xy400",fontsize=16,color="magenta"];172 -> 285[label="",style="dashed", color="magenta", weight=3]; 172 -> 286[label="",style="dashed", color="magenta", weight=3]; 173 -> 16[label="",style="dashed", color="red", weight=0]; 173[label="xy30 == xy400",fontsize=16,color="magenta"];173 -> 287[label="",style="dashed", color="magenta", weight=3]; 173 -> 288[label="",style="dashed", color="magenta", weight=3]; 174 -> 17[label="",style="dashed", color="red", weight=0]; 174[label="xy30 == xy400",fontsize=16,color="magenta"];174 -> 289[label="",style="dashed", color="magenta", weight=3]; 174 -> 290[label="",style="dashed", color="magenta", weight=3]; 175 -> 18[label="",style="dashed", color="red", weight=0]; 175[label="xy30 == xy400",fontsize=16,color="magenta"];175 -> 291[label="",style="dashed", color="magenta", weight=3]; 175 -> 292[label="",style="dashed", color="magenta", weight=3]; 176 -> 19[label="",style="dashed", color="red", weight=0]; 176[label="xy30 == xy400",fontsize=16,color="magenta"];176 -> 293[label="",style="dashed", color="magenta", weight=3]; 176 -> 294[label="",style="dashed", color="magenta", weight=3]; 177 -> 20[label="",style="dashed", color="red", weight=0]; 177[label="xy30 == xy400",fontsize=16,color="magenta"];177 -> 295[label="",style="dashed", color="magenta", weight=3]; 177 -> 296[label="",style="dashed", color="magenta", weight=3]; 178 -> 21[label="",style="dashed", color="red", weight=0]; 178[label="xy30 == xy400",fontsize=16,color="magenta"];178 -> 297[label="",style="dashed", color="magenta", weight=3]; 178 -> 298[label="",style="dashed", color="magenta", weight=3]; 179 -> 22[label="",style="dashed", color="red", weight=0]; 179[label="xy30 == xy400",fontsize=16,color="magenta"];179 -> 299[label="",style="dashed", color="magenta", weight=3]; 179 -> 300[label="",style="dashed", color="magenta", weight=3]; 180 -> 23[label="",style="dashed", color="red", weight=0]; 180[label="xy30 == xy400",fontsize=16,color="magenta"];180 -> 301[label="",style="dashed", color="magenta", weight=3]; 180 -> 302[label="",style="dashed", color="magenta", weight=3]; 181 -> 24[label="",style="dashed", color="red", weight=0]; 181[label="xy30 == xy400",fontsize=16,color="magenta"];181 -> 303[label="",style="dashed", color="magenta", weight=3]; 181 -> 304[label="",style="dashed", color="magenta", weight=3]; 182 -> 25[label="",style="dashed", color="red", weight=0]; 182[label="xy30 == xy400",fontsize=16,color="magenta"];182 -> 305[label="",style="dashed", color="magenta", weight=3]; 182 -> 306[label="",style="dashed", color="magenta", weight=3]; 183 -> 26[label="",style="dashed", color="red", weight=0]; 183[label="xy30 == xy400",fontsize=16,color="magenta"];183 -> 307[label="",style="dashed", color="magenta", weight=3]; 183 -> 308[label="",style="dashed", color="magenta", weight=3]; 184 -> 27[label="",style="dashed", color="red", weight=0]; 184[label="xy30 == xy400",fontsize=16,color="magenta"];184 -> 309[label="",style="dashed", color="magenta", weight=3]; 184 -> 310[label="",style="dashed", color="magenta", weight=3]; 185 -> 28[label="",style="dashed", color="red", weight=0]; 185[label="xy30 == xy400",fontsize=16,color="magenta"];185 -> 311[label="",style="dashed", color="magenta", weight=3]; 185 -> 312[label="",style="dashed", color="magenta", weight=3]; 186 -> 15[label="",style="dashed", color="red", weight=0]; 186[label="xy30 == xy400",fontsize=16,color="magenta"];186 -> 313[label="",style="dashed", color="magenta", weight=3]; 186 -> 314[label="",style="dashed", color="magenta", weight=3]; 187 -> 16[label="",style="dashed", color="red", weight=0]; 187[label="xy30 == xy400",fontsize=16,color="magenta"];187 -> 315[label="",style="dashed", color="magenta", weight=3]; 187 -> 316[label="",style="dashed", color="magenta", weight=3]; 188 -> 17[label="",style="dashed", color="red", weight=0]; 188[label="xy30 == xy400",fontsize=16,color="magenta"];188 -> 317[label="",style="dashed", color="magenta", weight=3]; 188 -> 318[label="",style="dashed", color="magenta", weight=3]; 189 -> 18[label="",style="dashed", color="red", weight=0]; 189[label="xy30 == xy400",fontsize=16,color="magenta"];189 -> 319[label="",style="dashed", color="magenta", weight=3]; 189 -> 320[label="",style="dashed", color="magenta", weight=3]; 190 -> 19[label="",style="dashed", color="red", weight=0]; 190[label="xy30 == xy400",fontsize=16,color="magenta"];190 -> 321[label="",style="dashed", color="magenta", weight=3]; 190 -> 322[label="",style="dashed", color="magenta", weight=3]; 191 -> 20[label="",style="dashed", color="red", weight=0]; 191[label="xy30 == xy400",fontsize=16,color="magenta"];191 -> 323[label="",style="dashed", color="magenta", weight=3]; 191 -> 324[label="",style="dashed", color="magenta", weight=3]; 192 -> 21[label="",style="dashed", color="red", weight=0]; 192[label="xy30 == xy400",fontsize=16,color="magenta"];192 -> 325[label="",style="dashed", color="magenta", weight=3]; 192 -> 326[label="",style="dashed", color="magenta", weight=3]; 193 -> 22[label="",style="dashed", color="red", weight=0]; 193[label="xy30 == xy400",fontsize=16,color="magenta"];193 -> 327[label="",style="dashed", color="magenta", weight=3]; 193 -> 328[label="",style="dashed", color="magenta", weight=3]; 194 -> 23[label="",style="dashed", color="red", weight=0]; 194[label="xy30 == xy400",fontsize=16,color="magenta"];194 -> 329[label="",style="dashed", color="magenta", weight=3]; 194 -> 330[label="",style="dashed", color="magenta", weight=3]; 195 -> 24[label="",style="dashed", color="red", weight=0]; 195[label="xy30 == xy400",fontsize=16,color="magenta"];195 -> 331[label="",style="dashed", color="magenta", weight=3]; 195 -> 332[label="",style="dashed", color="magenta", weight=3]; 196 -> 25[label="",style="dashed", color="red", weight=0]; 196[label="xy30 == xy400",fontsize=16,color="magenta"];196 -> 333[label="",style="dashed", color="magenta", weight=3]; 196 -> 334[label="",style="dashed", color="magenta", weight=3]; 197 -> 26[label="",style="dashed", color="red", weight=0]; 197[label="xy30 == xy400",fontsize=16,color="magenta"];197 -> 335[label="",style="dashed", color="magenta", weight=3]; 197 -> 336[label="",style="dashed", color="magenta", weight=3]; 198 -> 27[label="",style="dashed", color="red", weight=0]; 198[label="xy30 == xy400",fontsize=16,color="magenta"];198 -> 337[label="",style="dashed", color="magenta", weight=3]; 198 -> 338[label="",style="dashed", color="magenta", weight=3]; 199 -> 28[label="",style="dashed", color="red", weight=0]; 199[label="xy30 == xy400",fontsize=16,color="magenta"];199 -> 339[label="",style="dashed", color="magenta", weight=3]; 199 -> 340[label="",style="dashed", color="magenta", weight=3]; 200[label="primEqNat xy30 xy400",fontsize=16,color="burlywood",shape="triangle"];836[label="xy30/Succ xy300",fontsize=10,color="white",style="solid",shape="box"];200 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 341[label="",style="solid", color="burlywood", weight=3]; 837[label="xy30/Zero",fontsize=10,color="white",style="solid",shape="box"];200 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 342[label="",style="solid", color="burlywood", weight=3]; 211 -> 24[label="",style="dashed", color="red", weight=0]; 211[label="xy31 == xy401",fontsize=16,color="magenta"];211 -> 343[label="",style="dashed", color="magenta", weight=3]; 211 -> 344[label="",style="dashed", color="magenta", weight=3]; 212[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];838[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 345[label="",style="solid", color="blue", weight=3]; 839[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 346[label="",style="solid", color="blue", weight=3]; 840[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 347[label="",style="solid", color="blue", weight=3]; 841[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 348[label="",style="solid", color="blue", weight=3]; 842[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 349[label="",style="solid", color="blue", weight=3]; 843[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 350[label="",style="solid", color="blue", weight=3]; 844[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 351[label="",style="solid", color="blue", weight=3]; 845[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 352[label="",style="solid", color="blue", weight=3]; 846[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 353[label="",style="solid", color="blue", weight=3]; 847[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 354[label="",style="solid", color="blue", weight=3]; 848[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 355[label="",style="solid", color="blue", weight=3]; 849[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 356[label="",style="solid", color="blue", weight=3]; 850[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 357[label="",style="solid", color="blue", weight=3]; 851[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 358[label="",style="solid", color="blue", weight=3]; 201[label="xy400",fontsize=16,color="green",shape="box"];202[label="xy30",fontsize=16,color="green",shape="box"];203 -> 21[label="",style="dashed", color="red", weight=0]; 203[label="xy30 * xy401 == xy31 * xy400",fontsize=16,color="magenta"];203 -> 359[label="",style="dashed", color="magenta", weight=3]; 203 -> 360[label="",style="dashed", color="magenta", weight=3]; 213[label="xy31 == xy401",fontsize=16,color="blue",shape="box"];852[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 361[label="",style="solid", color="blue", weight=3]; 853[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 362[label="",style="solid", color="blue", weight=3]; 854[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 363[label="",style="solid", color="blue", weight=3]; 855[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 364[label="",style="solid", color="blue", weight=3]; 856[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 365[label="",style="solid", color="blue", weight=3]; 857[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 366[label="",style="solid", color="blue", weight=3]; 858[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 367[label="",style="solid", color="blue", weight=3]; 859[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 368[label="",style="solid", color="blue", weight=3]; 860[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 369[label="",style="solid", color="blue", weight=3]; 861[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 370[label="",style="solid", color="blue", weight=3]; 862[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 371[label="",style="solid", color="blue", weight=3]; 863[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 372[label="",style="solid", color="blue", weight=3]; 864[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 373[label="",style="solid", color="blue", weight=3]; 865[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 374[label="",style="solid", color="blue", weight=3]; 214[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];866[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 375[label="",style="solid", color="blue", weight=3]; 867[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 376[label="",style="solid", color="blue", weight=3]; 868[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 377[label="",style="solid", color="blue", weight=3]; 869[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 378[label="",style="solid", color="blue", weight=3]; 870[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 379[label="",style="solid", color="blue", weight=3]; 871[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 380[label="",style="solid", color="blue", weight=3]; 872[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 381[label="",style="solid", color="blue", weight=3]; 873[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 382[label="",style="solid", color="blue", weight=3]; 874[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 383[label="",style="solid", color="blue", weight=3]; 875[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 384[label="",style="solid", color="blue", weight=3]; 876[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 385[label="",style="solid", color="blue", weight=3]; 877[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 386[label="",style="solid", color="blue", weight=3]; 878[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 387[label="",style="solid", color="blue", weight=3]; 879[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 388[label="",style="solid", color="blue", weight=3]; 219 -> 21[label="",style="dashed", color="red", weight=0]; 219[label="xy31 == xy401",fontsize=16,color="magenta"];219 -> 389[label="",style="dashed", color="magenta", weight=3]; 219 -> 390[label="",style="dashed", color="magenta", weight=3]; 220 -> 25[label="",style="dashed", color="red", weight=0]; 220[label="xy31 == xy401",fontsize=16,color="magenta"];220 -> 391[label="",style="dashed", color="magenta", weight=3]; 220 -> 392[label="",style="dashed", color="magenta", weight=3]; 221 -> 21[label="",style="dashed", color="red", weight=0]; 221[label="xy30 == xy400",fontsize=16,color="magenta"];221 -> 393[label="",style="dashed", color="magenta", weight=3]; 221 -> 394[label="",style="dashed", color="magenta", weight=3]; 222 -> 25[label="",style="dashed", color="red", weight=0]; 222[label="xy30 == xy400",fontsize=16,color="magenta"];222 -> 395[label="",style="dashed", color="magenta", weight=3]; 222 -> 396[label="",style="dashed", color="magenta", weight=3]; 223[label="False && xy26",fontsize=16,color="black",shape="box"];223 -> 397[label="",style="solid", color="black", weight=3]; 224[label="True && xy26",fontsize=16,color="black",shape="box"];224 -> 398[label="",style="solid", color="black", weight=3]; 225[label="xy31 * xy400",fontsize=16,color="black",shape="triangle"];225 -> 399[label="",style="solid", color="black", weight=3]; 226 -> 225[label="",style="dashed", color="red", weight=0]; 226[label="xy30 * xy401",fontsize=16,color="magenta"];226 -> 400[label="",style="dashed", color="magenta", weight=3]; 226 -> 401[label="",style="dashed", color="magenta", weight=3]; 227[label="xy32 == xy402",fontsize=16,color="blue",shape="box"];880[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 402[label="",style="solid", color="blue", weight=3]; 881[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 403[label="",style="solid", color="blue", weight=3]; 882[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 404[label="",style="solid", color="blue", weight=3]; 883[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 405[label="",style="solid", color="blue", weight=3]; 884[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 406[label="",style="solid", color="blue", weight=3]; 885[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 407[label="",style="solid", color="blue", weight=3]; 886[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 408[label="",style="solid", color="blue", weight=3]; 887[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 409[label="",style="solid", color="blue", weight=3]; 888[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 410[label="",style="solid", color="blue", weight=3]; 889[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 411[label="",style="solid", color="blue", weight=3]; 890[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 412[label="",style="solid", color="blue", weight=3]; 891[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 413[label="",style="solid", color="blue", weight=3]; 892[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 414[label="",style="solid", color="blue", weight=3]; 893[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 415[label="",style="solid", color="blue", weight=3]; 228[label="xy31 == xy401",fontsize=16,color="blue",shape="box"];894[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 416[label="",style="solid", color="blue", weight=3]; 895[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 417[label="",style="solid", color="blue", weight=3]; 896[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 418[label="",style="solid", color="blue", weight=3]; 897[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 419[label="",style="solid", color="blue", weight=3]; 898[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 420[label="",style="solid", color="blue", weight=3]; 899[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 421[label="",style="solid", color="blue", weight=3]; 900[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 422[label="",style="solid", color="blue", weight=3]; 901[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 423[label="",style="solid", color="blue", weight=3]; 902[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 424[label="",style="solid", color="blue", weight=3]; 903[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 425[label="",style="solid", color="blue", weight=3]; 904[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 426[label="",style="solid", color="blue", weight=3]; 905[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 427[label="",style="solid", color="blue", weight=3]; 906[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 428[label="",style="solid", color="blue", weight=3]; 907[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 429[label="",style="solid", color="blue", weight=3]; 229 -> 15[label="",style="dashed", color="red", weight=0]; 229[label="xy30 == xy400",fontsize=16,color="magenta"];229 -> 430[label="",style="dashed", color="magenta", weight=3]; 229 -> 431[label="",style="dashed", color="magenta", weight=3]; 230 -> 16[label="",style="dashed", color="red", weight=0]; 230[label="xy30 == xy400",fontsize=16,color="magenta"];230 -> 432[label="",style="dashed", color="magenta", weight=3]; 230 -> 433[label="",style="dashed", color="magenta", weight=3]; 231 -> 17[label="",style="dashed", color="red", weight=0]; 231[label="xy30 == xy400",fontsize=16,color="magenta"];231 -> 434[label="",style="dashed", color="magenta", weight=3]; 231 -> 435[label="",style="dashed", color="magenta", weight=3]; 232 -> 18[label="",style="dashed", color="red", weight=0]; 232[label="xy30 == xy400",fontsize=16,color="magenta"];232 -> 436[label="",style="dashed", color="magenta", weight=3]; 232 -> 437[label="",style="dashed", color="magenta", weight=3]; 233 -> 19[label="",style="dashed", color="red", weight=0]; 233[label="xy30 == xy400",fontsize=16,color="magenta"];233 -> 438[label="",style="dashed", color="magenta", weight=3]; 233 -> 439[label="",style="dashed", color="magenta", weight=3]; 234 -> 20[label="",style="dashed", color="red", weight=0]; 234[label="xy30 == xy400",fontsize=16,color="magenta"];234 -> 440[label="",style="dashed", color="magenta", weight=3]; 234 -> 441[label="",style="dashed", color="magenta", weight=3]; 235 -> 21[label="",style="dashed", color="red", weight=0]; 235[label="xy30 == xy400",fontsize=16,color="magenta"];235 -> 442[label="",style="dashed", color="magenta", weight=3]; 235 -> 443[label="",style="dashed", color="magenta", weight=3]; 236 -> 22[label="",style="dashed", color="red", weight=0]; 236[label="xy30 == xy400",fontsize=16,color="magenta"];236 -> 444[label="",style="dashed", color="magenta", weight=3]; 236 -> 445[label="",style="dashed", color="magenta", weight=3]; 237 -> 23[label="",style="dashed", color="red", weight=0]; 237[label="xy30 == xy400",fontsize=16,color="magenta"];237 -> 446[label="",style="dashed", color="magenta", weight=3]; 237 -> 447[label="",style="dashed", color="magenta", weight=3]; 238 -> 24[label="",style="dashed", color="red", weight=0]; 238[label="xy30 == xy400",fontsize=16,color="magenta"];238 -> 448[label="",style="dashed", color="magenta", weight=3]; 238 -> 449[label="",style="dashed", color="magenta", weight=3]; 239 -> 25[label="",style="dashed", color="red", weight=0]; 239[label="xy30 == xy400",fontsize=16,color="magenta"];239 -> 450[label="",style="dashed", color="magenta", weight=3]; 239 -> 451[label="",style="dashed", color="magenta", weight=3]; 240 -> 26[label="",style="dashed", color="red", weight=0]; 240[label="xy30 == xy400",fontsize=16,color="magenta"];240 -> 452[label="",style="dashed", color="magenta", weight=3]; 240 -> 453[label="",style="dashed", color="magenta", weight=3]; 241 -> 27[label="",style="dashed", color="red", weight=0]; 241[label="xy30 == xy400",fontsize=16,color="magenta"];241 -> 454[label="",style="dashed", color="magenta", weight=3]; 241 -> 455[label="",style="dashed", color="magenta", weight=3]; 242 -> 28[label="",style="dashed", color="red", weight=0]; 242[label="xy30 == xy400",fontsize=16,color="magenta"];242 -> 456[label="",style="dashed", color="magenta", weight=3]; 242 -> 457[label="",style="dashed", color="magenta", weight=3]; 243[label="xy400",fontsize=16,color="green",shape="box"];244[label="xy30",fontsize=16,color="green",shape="box"];245[label="xy400",fontsize=16,color="green",shape="box"];246[label="xy30",fontsize=16,color="green",shape="box"];247[label="xy400",fontsize=16,color="green",shape="box"];248[label="xy30",fontsize=16,color="green",shape="box"];249[label="xy400",fontsize=16,color="green",shape="box"];250[label="xy30",fontsize=16,color="green",shape="box"];251[label="xy400",fontsize=16,color="green",shape="box"];252[label="xy30",fontsize=16,color="green",shape="box"];253[label="xy400",fontsize=16,color="green",shape="box"];254[label="xy30",fontsize=16,color="green",shape="box"];255[label="xy400",fontsize=16,color="green",shape="box"];256[label="xy30",fontsize=16,color="green",shape="box"];257[label="xy400",fontsize=16,color="green",shape="box"];258[label="xy30",fontsize=16,color="green",shape="box"];259[label="xy400",fontsize=16,color="green",shape="box"];260[label="xy30",fontsize=16,color="green",shape="box"];261[label="xy400",fontsize=16,color="green",shape="box"];262[label="xy30",fontsize=16,color="green",shape="box"];263[label="xy400",fontsize=16,color="green",shape="box"];264[label="xy30",fontsize=16,color="green",shape="box"];265[label="xy400",fontsize=16,color="green",shape="box"];266[label="xy30",fontsize=16,color="green",shape="box"];267[label="xy400",fontsize=16,color="green",shape="box"];268[label="xy30",fontsize=16,color="green",shape="box"];269[label="xy400",fontsize=16,color="green",shape="box"];270[label="xy30",fontsize=16,color="green",shape="box"];271[label="primEqInt 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278[label="False",fontsize=16,color="green",shape="box"];279[label="primEqInt (Neg (Succ xy300)) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];279 -> 464[label="",style="solid", color="black", weight=3]; 280[label="primEqInt (Neg (Succ xy300)) (Neg Zero)",fontsize=16,color="black",shape="box"];280 -> 465[label="",style="solid", color="black", weight=3]; 281[label="primEqInt (Neg Zero) (Pos (Succ xy4000))",fontsize=16,color="black",shape="box"];281 -> 466[label="",style="solid", color="black", weight=3]; 282[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];282 -> 467[label="",style="solid", color="black", weight=3]; 283[label="primEqInt (Neg Zero) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];283 -> 468[label="",style="solid", color="black", weight=3]; 284[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];284 -> 469[label="",style="solid", color="black", weight=3]; 285[label="xy400",fontsize=16,color="green",shape="box"];286[label="xy30",fontsize=16,color="green",shape="box"];287[label="xy400",fontsize=16,color="green",shape="box"];288[label="xy30",fontsize=16,color="green",shape="box"];289[label="xy400",fontsize=16,color="green",shape="box"];290[label="xy30",fontsize=16,color="green",shape="box"];291[label="xy400",fontsize=16,color="green",shape="box"];292[label="xy30",fontsize=16,color="green",shape="box"];293[label="xy400",fontsize=16,color="green",shape="box"];294[label="xy30",fontsize=16,color="green",shape="box"];295[label="xy400",fontsize=16,color="green",shape="box"];296[label="xy30",fontsize=16,color="green",shape="box"];297[label="xy400",fontsize=16,color="green",shape="box"];298[label="xy30",fontsize=16,color="green",shape="box"];299[label="xy400",fontsize=16,color="green",shape="box"];300[label="xy30",fontsize=16,color="green",shape="box"];301[label="xy400",fontsize=16,color="green",shape="box"];302[label="xy30",fontsize=16,color="green",shape="box"];303[label="xy400",fontsize=16,color="green",shape="box"];304[label="xy30",fontsize=16,color="green",shape="box"];305[label="xy400",fontsize=16,color="green",shape="box"];306[label="xy30",fontsize=16,color="green",shape="box"];307[label="xy400",fontsize=16,color="green",shape="box"];308[label="xy30",fontsize=16,color="green",shape="box"];309[label="xy400",fontsize=16,color="green",shape="box"];310[label="xy30",fontsize=16,color="green",shape="box"];311[label="xy400",fontsize=16,color="green",shape="box"];312[label="xy30",fontsize=16,color="green",shape="box"];313[label="xy400",fontsize=16,color="green",shape="box"];314[label="xy30",fontsize=16,color="green",shape="box"];315[label="xy400",fontsize=16,color="green",shape="box"];316[label="xy30",fontsize=16,color="green",shape="box"];317[label="xy400",fontsize=16,color="green",shape="box"];318[label="xy30",fontsize=16,color="green",shape="box"];319[label="xy400",fontsize=16,color="green",shape="box"];320[label="xy30",fontsize=16,color="green",shape="box"];321[label="xy400",fontsize=16,color="green",shape="box"];322[label="xy30",fontsize=16,color="green",shape="box"];323[label="xy400",fontsize=16,color="green",shape="box"];324[label="xy30",fontsize=16,color="green",shape="box"];325[label="xy400",fontsize=16,color="green",shape="box"];326[label="xy30",fontsize=16,color="green",shape="box"];327[label="xy400",fontsize=16,color="green",shape="box"];328[label="xy30",fontsize=16,color="green",shape="box"];329[label="xy400",fontsize=16,color="green",shape="box"];330[label="xy30",fontsize=16,color="green",shape="box"];331[label="xy400",fontsize=16,color="green",shape="box"];332[label="xy30",fontsize=16,color="green",shape="box"];333[label="xy400",fontsize=16,color="green",shape="box"];334[label="xy30",fontsize=16,color="green",shape="box"];335[label="xy400",fontsize=16,color="green",shape="box"];336[label="xy30",fontsize=16,color="green",shape="box"];337[label="xy400",fontsize=16,color="green",shape="box"];338[label="xy30",fontsize=16,color="green",shape="box"];339[label="xy400",fontsize=16,color="green",shape="box"];340[label="xy30",fontsize=16,color="green",shape="box"];341[label="primEqNat 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343[label="xy401",fontsize=16,color="green",shape="box"];344[label="xy31",fontsize=16,color="green",shape="box"];345 -> 15[label="",style="dashed", color="red", weight=0]; 345[label="xy30 == xy400",fontsize=16,color="magenta"];345 -> 474[label="",style="dashed", color="magenta", weight=3]; 345 -> 475[label="",style="dashed", color="magenta", weight=3]; 346 -> 16[label="",style="dashed", color="red", weight=0]; 346[label="xy30 == xy400",fontsize=16,color="magenta"];346 -> 476[label="",style="dashed", color="magenta", weight=3]; 346 -> 477[label="",style="dashed", color="magenta", weight=3]; 347 -> 17[label="",style="dashed", color="red", weight=0]; 347[label="xy30 == xy400",fontsize=16,color="magenta"];347 -> 478[label="",style="dashed", color="magenta", weight=3]; 347 -> 479[label="",style="dashed", color="magenta", weight=3]; 348 -> 18[label="",style="dashed", color="red", weight=0]; 348[label="xy30 == xy400",fontsize=16,color="magenta"];348 -> 480[label="",style="dashed", color="magenta", weight=3]; 348 -> 481[label="",style="dashed", color="magenta", weight=3]; 349 -> 19[label="",style="dashed", color="red", weight=0]; 349[label="xy30 == xy400",fontsize=16,color="magenta"];349 -> 482[label="",style="dashed", color="magenta", weight=3]; 349 -> 483[label="",style="dashed", color="magenta", weight=3]; 350 -> 20[label="",style="dashed", color="red", weight=0]; 350[label="xy30 == xy400",fontsize=16,color="magenta"];350 -> 484[label="",style="dashed", color="magenta", weight=3]; 350 -> 485[label="",style="dashed", color="magenta", weight=3]; 351 -> 21[label="",style="dashed", color="red", weight=0]; 351[label="xy30 == xy400",fontsize=16,color="magenta"];351 -> 486[label="",style="dashed", color="magenta", weight=3]; 351 -> 487[label="",style="dashed", color="magenta", weight=3]; 352 -> 22[label="",style="dashed", color="red", weight=0]; 352[label="xy30 == xy400",fontsize=16,color="magenta"];352 -> 488[label="",style="dashed", color="magenta", weight=3]; 352 -> 489[label="",style="dashed", color="magenta", weight=3]; 353 -> 23[label="",style="dashed", color="red", weight=0]; 353[label="xy30 == xy400",fontsize=16,color="magenta"];353 -> 490[label="",style="dashed", color="magenta", weight=3]; 353 -> 491[label="",style="dashed", color="magenta", weight=3]; 354 -> 24[label="",style="dashed", color="red", weight=0]; 354[label="xy30 == xy400",fontsize=16,color="magenta"];354 -> 492[label="",style="dashed", color="magenta", weight=3]; 354 -> 493[label="",style="dashed", color="magenta", weight=3]; 355 -> 25[label="",style="dashed", color="red", weight=0]; 355[label="xy30 == xy400",fontsize=16,color="magenta"];355 -> 494[label="",style="dashed", color="magenta", weight=3]; 355 -> 495[label="",style="dashed", color="magenta", weight=3]; 356 -> 26[label="",style="dashed", color="red", weight=0]; 356[label="xy30 == xy400",fontsize=16,color="magenta"];356 -> 496[label="",style="dashed", color="magenta", weight=3]; 356 -> 497[label="",style="dashed", color="magenta", weight=3]; 357 -> 27[label="",style="dashed", color="red", weight=0]; 357[label="xy30 == xy400",fontsize=16,color="magenta"];357 -> 498[label="",style="dashed", color="magenta", weight=3]; 357 -> 499[label="",style="dashed", color="magenta", weight=3]; 358 -> 28[label="",style="dashed", color="red", weight=0]; 358[label="xy30 == xy400",fontsize=16,color="magenta"];358 -> 500[label="",style="dashed", color="magenta", weight=3]; 358 -> 501[label="",style="dashed", color="magenta", weight=3]; 359 -> 225[label="",style="dashed", color="red", weight=0]; 359[label="xy31 * xy400",fontsize=16,color="magenta"];359 -> 502[label="",style="dashed", color="magenta", weight=3]; 359 -> 503[label="",style="dashed", color="magenta", weight=3]; 360 -> 225[label="",style="dashed", color="red", weight=0]; 360[label="xy30 * xy401",fontsize=16,color="magenta"];360 -> 504[label="",style="dashed", color="magenta", weight=3]; 360 -> 505[label="",style="dashed", color="magenta", weight=3]; 361 -> 15[label="",style="dashed", color="red", weight=0]; 361[label="xy31 == xy401",fontsize=16,color="magenta"];361 -> 506[label="",style="dashed", color="magenta", weight=3]; 361 -> 507[label="",style="dashed", color="magenta", weight=3]; 362 -> 16[label="",style="dashed", color="red", weight=0]; 362[label="xy31 == xy401",fontsize=16,color="magenta"];362 -> 508[label="",style="dashed", color="magenta", weight=3]; 362 -> 509[label="",style="dashed", color="magenta", weight=3]; 363 -> 17[label="",style="dashed", color="red", weight=0]; 363[label="xy31 == xy401",fontsize=16,color="magenta"];363 -> 510[label="",style="dashed", color="magenta", weight=3]; 363 -> 511[label="",style="dashed", color="magenta", weight=3]; 364 -> 18[label="",style="dashed", color="red", weight=0]; 364[label="xy31 == xy401",fontsize=16,color="magenta"];364 -> 512[label="",style="dashed", color="magenta", weight=3]; 364 -> 513[label="",style="dashed", color="magenta", weight=3]; 365 -> 19[label="",style="dashed", color="red", weight=0]; 365[label="xy31 == xy401",fontsize=16,color="magenta"];365 -> 514[label="",style="dashed", color="magenta", weight=3]; 365 -> 515[label="",style="dashed", color="magenta", weight=3]; 366 -> 20[label="",style="dashed", color="red", weight=0]; 366[label="xy31 == xy401",fontsize=16,color="magenta"];366 -> 516[label="",style="dashed", color="magenta", weight=3]; 366 -> 517[label="",style="dashed", color="magenta", weight=3]; 367 -> 21[label="",style="dashed", color="red", weight=0]; 367[label="xy31 == xy401",fontsize=16,color="magenta"];367 -> 518[label="",style="dashed", color="magenta", weight=3]; 367 -> 519[label="",style="dashed", color="magenta", weight=3]; 368 -> 22[label="",style="dashed", color="red", weight=0]; 368[label="xy31 == xy401",fontsize=16,color="magenta"];368 -> 520[label="",style="dashed", color="magenta", weight=3]; 368 -> 521[label="",style="dashed", color="magenta", weight=3]; 369 -> 23[label="",style="dashed", color="red", weight=0]; 369[label="xy31 == xy401",fontsize=16,color="magenta"];369 -> 522[label="",style="dashed", color="magenta", weight=3]; 369 -> 523[label="",style="dashed", color="magenta", weight=3]; 370 -> 24[label="",style="dashed", color="red", weight=0]; 370[label="xy31 == xy401",fontsize=16,color="magenta"];370 -> 524[label="",style="dashed", color="magenta", weight=3]; 370 -> 525[label="",style="dashed", color="magenta", weight=3]; 371 -> 25[label="",style="dashed", color="red", weight=0]; 371[label="xy31 == xy401",fontsize=16,color="magenta"];371 -> 526[label="",style="dashed", color="magenta", weight=3]; 371 -> 527[label="",style="dashed", color="magenta", weight=3]; 372 -> 26[label="",style="dashed", color="red", weight=0]; 372[label="xy31 == xy401",fontsize=16,color="magenta"];372 -> 528[label="",style="dashed", color="magenta", weight=3]; 372 -> 529[label="",style="dashed", color="magenta", weight=3]; 373 -> 27[label="",style="dashed", color="red", weight=0]; 373[label="xy31 == xy401",fontsize=16,color="magenta"];373 -> 530[label="",style="dashed", color="magenta", weight=3]; 373 -> 531[label="",style="dashed", color="magenta", weight=3]; 374 -> 28[label="",style="dashed", color="red", weight=0]; 374[label="xy31 == xy401",fontsize=16,color="magenta"];374 -> 532[label="",style="dashed", color="magenta", weight=3]; 374 -> 533[label="",style="dashed", color="magenta", weight=3]; 375 -> 15[label="",style="dashed", color="red", weight=0]; 375[label="xy30 == xy400",fontsize=16,color="magenta"];375 -> 534[label="",style="dashed", color="magenta", weight=3]; 375 -> 535[label="",style="dashed", color="magenta", weight=3]; 376 -> 16[label="",style="dashed", color="red", weight=0]; 376[label="xy30 == xy400",fontsize=16,color="magenta"];376 -> 536[label="",style="dashed", color="magenta", weight=3]; 376 -> 537[label="",style="dashed", color="magenta", weight=3]; 377 -> 17[label="",style="dashed", color="red", weight=0]; 377[label="xy30 == xy400",fontsize=16,color="magenta"];377 -> 538[label="",style="dashed", color="magenta", weight=3]; 377 -> 539[label="",style="dashed", color="magenta", weight=3]; 378 -> 18[label="",style="dashed", color="red", weight=0]; 378[label="xy30 == xy400",fontsize=16,color="magenta"];378 -> 540[label="",style="dashed", color="magenta", weight=3]; 378 -> 541[label="",style="dashed", color="magenta", weight=3]; 379 -> 19[label="",style="dashed", color="red", weight=0]; 379[label="xy30 == xy400",fontsize=16,color="magenta"];379 -> 542[label="",style="dashed", color="magenta", weight=3]; 379 -> 543[label="",style="dashed", color="magenta", weight=3]; 380 -> 20[label="",style="dashed", color="red", weight=0]; 380[label="xy30 == xy400",fontsize=16,color="magenta"];380 -> 544[label="",style="dashed", color="magenta", weight=3]; 380 -> 545[label="",style="dashed", color="magenta", weight=3]; 381 -> 21[label="",style="dashed", color="red", weight=0]; 381[label="xy30 == xy400",fontsize=16,color="magenta"];381 -> 546[label="",style="dashed", color="magenta", weight=3]; 381 -> 547[label="",style="dashed", color="magenta", weight=3]; 382 -> 22[label="",style="dashed", color="red", weight=0]; 382[label="xy30 == xy400",fontsize=16,color="magenta"];382 -> 548[label="",style="dashed", color="magenta", weight=3]; 382 -> 549[label="",style="dashed", color="magenta", weight=3]; 383 -> 23[label="",style="dashed", color="red", weight=0]; 383[label="xy30 == xy400",fontsize=16,color="magenta"];383 -> 550[label="",style="dashed", color="magenta", weight=3]; 383 -> 551[label="",style="dashed", color="magenta", weight=3]; 384 -> 24[label="",style="dashed", color="red", weight=0]; 384[label="xy30 == xy400",fontsize=16,color="magenta"];384 -> 552[label="",style="dashed", color="magenta", weight=3]; 384 -> 553[label="",style="dashed", color="magenta", weight=3]; 385 -> 25[label="",style="dashed", color="red", weight=0]; 385[label="xy30 == xy400",fontsize=16,color="magenta"];385 -> 554[label="",style="dashed", color="magenta", weight=3]; 385 -> 555[label="",style="dashed", color="magenta", weight=3]; 386 -> 26[label="",style="dashed", color="red", weight=0]; 386[label="xy30 == xy400",fontsize=16,color="magenta"];386 -> 556[label="",style="dashed", color="magenta", weight=3]; 386 -> 557[label="",style="dashed", color="magenta", weight=3]; 387 -> 27[label="",style="dashed", color="red", weight=0]; 387[label="xy30 == xy400",fontsize=16,color="magenta"];387 -> 558[label="",style="dashed", color="magenta", weight=3]; 387 -> 559[label="",style="dashed", color="magenta", weight=3]; 388 -> 28[label="",style="dashed", color="red", weight=0]; 388[label="xy30 == xy400",fontsize=16,color="magenta"];388 -> 560[label="",style="dashed", color="magenta", weight=3]; 388 -> 561[label="",style="dashed", color="magenta", weight=3]; 389[label="xy401",fontsize=16,color="green",shape="box"];390[label="xy31",fontsize=16,color="green",shape="box"];391[label="xy401",fontsize=16,color="green",shape="box"];392[label="xy31",fontsize=16,color="green",shape="box"];393[label="xy400",fontsize=16,color="green",shape="box"];394[label="xy30",fontsize=16,color="green",shape="box"];395[label="xy400",fontsize=16,color="green",shape="box"];396[label="xy30",fontsize=16,color="green",shape="box"];397[label="False",fontsize=16,color="green",shape="box"];398[label="xy26",fontsize=16,color="green",shape="box"];399[label="primMulInt xy31 xy400",fontsize=16,color="burlywood",shape="box"];912[label="xy31/Pos xy310",fontsize=10,color="white",style="solid",shape="box"];399 -> 912[label="",style="solid", color="burlywood", weight=9]; 912 -> 562[label="",style="solid", color="burlywood", weight=3]; 913[label="xy31/Neg xy310",fontsize=10,color="white",style="solid",shape="box"];399 -> 913[label="",style="solid", color="burlywood", weight=9]; 913 -> 563[label="",style="solid", color="burlywood", weight=3]; 400[label="xy30",fontsize=16,color="green",shape="box"];401[label="xy401",fontsize=16,color="green",shape="box"];402 -> 15[label="",style="dashed", color="red", weight=0]; 402[label="xy32 == xy402",fontsize=16,color="magenta"];402 -> 564[label="",style="dashed", color="magenta", weight=3]; 402 -> 565[label="",style="dashed", color="magenta", weight=3]; 403 -> 16[label="",style="dashed", color="red", weight=0]; 403[label="xy32 == xy402",fontsize=16,color="magenta"];403 -> 566[label="",style="dashed", color="magenta", weight=3]; 403 -> 567[label="",style="dashed", color="magenta", weight=3]; 404 -> 17[label="",style="dashed", color="red", weight=0]; 404[label="xy32 == xy402",fontsize=16,color="magenta"];404 -> 568[label="",style="dashed", color="magenta", weight=3]; 404 -> 569[label="",style="dashed", color="magenta", weight=3]; 405 -> 18[label="",style="dashed", color="red", weight=0]; 405[label="xy32 == xy402",fontsize=16,color="magenta"];405 -> 570[label="",style="dashed", color="magenta", weight=3]; 405 -> 571[label="",style="dashed", color="magenta", weight=3]; 406 -> 19[label="",style="dashed", color="red", weight=0]; 406[label="xy32 == xy402",fontsize=16,color="magenta"];406 -> 572[label="",style="dashed", color="magenta", weight=3]; 406 -> 573[label="",style="dashed", color="magenta", weight=3]; 407 -> 20[label="",style="dashed", color="red", weight=0]; 407[label="xy32 == xy402",fontsize=16,color="magenta"];407 -> 574[label="",style="dashed", color="magenta", weight=3]; 407 -> 575[label="",style="dashed", color="magenta", weight=3]; 408 -> 21[label="",style="dashed", color="red", weight=0]; 408[label="xy32 == xy402",fontsize=16,color="magenta"];408 -> 576[label="",style="dashed", color="magenta", weight=3]; 408 -> 577[label="",style="dashed", color="magenta", weight=3]; 409 -> 22[label="",style="dashed", color="red", weight=0]; 409[label="xy32 == xy402",fontsize=16,color="magenta"];409 -> 578[label="",style="dashed", color="magenta", weight=3]; 409 -> 579[label="",style="dashed", color="magenta", weight=3]; 410 -> 23[label="",style="dashed", color="red", weight=0]; 410[label="xy32 == xy402",fontsize=16,color="magenta"];410 -> 580[label="",style="dashed", color="magenta", weight=3]; 410 -> 581[label="",style="dashed", color="magenta", weight=3]; 411 -> 24[label="",style="dashed", color="red", weight=0]; 411[label="xy32 == xy402",fontsize=16,color="magenta"];411 -> 582[label="",style="dashed", color="magenta", weight=3]; 411 -> 583[label="",style="dashed", color="magenta", weight=3]; 412 -> 25[label="",style="dashed", color="red", weight=0]; 412[label="xy32 == xy402",fontsize=16,color="magenta"];412 -> 584[label="",style="dashed", color="magenta", weight=3]; 412 -> 585[label="",style="dashed", color="magenta", weight=3]; 413 -> 26[label="",style="dashed", color="red", weight=0]; 413[label="xy32 == xy402",fontsize=16,color="magenta"];413 -> 586[label="",style="dashed", color="magenta", weight=3]; 413 -> 587[label="",style="dashed", color="magenta", weight=3]; 414 -> 27[label="",style="dashed", color="red", weight=0]; 414[label="xy32 == xy402",fontsize=16,color="magenta"];414 -> 588[label="",style="dashed", color="magenta", weight=3]; 414 -> 589[label="",style="dashed", color="magenta", weight=3]; 415 -> 28[label="",style="dashed", color="red", weight=0]; 415[label="xy32 == xy402",fontsize=16,color="magenta"];415 -> 590[label="",style="dashed", color="magenta", weight=3]; 415 -> 591[label="",style="dashed", color="magenta", weight=3]; 416 -> 15[label="",style="dashed", color="red", weight=0]; 416[label="xy31 == xy401",fontsize=16,color="magenta"];416 -> 592[label="",style="dashed", color="magenta", weight=3]; 416 -> 593[label="",style="dashed", color="magenta", weight=3]; 417 -> 16[label="",style="dashed", color="red", weight=0]; 417[label="xy31 == xy401",fontsize=16,color="magenta"];417 -> 594[label="",style="dashed", color="magenta", weight=3]; 417 -> 595[label="",style="dashed", color="magenta", weight=3]; 418 -> 17[label="",style="dashed", color="red", weight=0]; 418[label="xy31 == xy401",fontsize=16,color="magenta"];418 -> 596[label="",style="dashed", color="magenta", weight=3]; 418 -> 597[label="",style="dashed", color="magenta", weight=3]; 419 -> 18[label="",style="dashed", color="red", weight=0]; 419[label="xy31 == xy401",fontsize=16,color="magenta"];419 -> 598[label="",style="dashed", color="magenta", weight=3]; 419 -> 599[label="",style="dashed", color="magenta", weight=3]; 420 -> 19[label="",style="dashed", color="red", weight=0]; 420[label="xy31 == xy401",fontsize=16,color="magenta"];420 -> 600[label="",style="dashed", color="magenta", weight=3]; 420 -> 601[label="",style="dashed", color="magenta", weight=3]; 421 -> 20[label="",style="dashed", color="red", weight=0]; 421[label="xy31 == xy401",fontsize=16,color="magenta"];421 -> 602[label="",style="dashed", color="magenta", weight=3]; 421 -> 603[label="",style="dashed", color="magenta", weight=3]; 422 -> 21[label="",style="dashed", color="red", weight=0]; 422[label="xy31 == xy401",fontsize=16,color="magenta"];422 -> 604[label="",style="dashed", color="magenta", weight=3]; 422 -> 605[label="",style="dashed", color="magenta", weight=3]; 423 -> 22[label="",style="dashed", color="red", weight=0]; 423[label="xy31 == xy401",fontsize=16,color="magenta"];423 -> 606[label="",style="dashed", color="magenta", weight=3]; 423 -> 607[label="",style="dashed", color="magenta", weight=3]; 424 -> 23[label="",style="dashed", color="red", weight=0]; 424[label="xy31 == xy401",fontsize=16,color="magenta"];424 -> 608[label="",style="dashed", color="magenta", weight=3]; 424 -> 609[label="",style="dashed", color="magenta", weight=3]; 425 -> 24[label="",style="dashed", color="red", weight=0]; 425[label="xy31 == xy401",fontsize=16,color="magenta"];425 -> 610[label="",style="dashed", color="magenta", weight=3]; 425 -> 611[label="",style="dashed", color="magenta", weight=3]; 426 -> 25[label="",style="dashed", color="red", weight=0]; 426[label="xy31 == xy401",fontsize=16,color="magenta"];426 -> 612[label="",style="dashed", color="magenta", weight=3]; 426 -> 613[label="",style="dashed", color="magenta", weight=3]; 427 -> 26[label="",style="dashed", color="red", weight=0]; 427[label="xy31 == xy401",fontsize=16,color="magenta"];427 -> 614[label="",style="dashed", color="magenta", weight=3]; 427 -> 615[label="",style="dashed", color="magenta", weight=3]; 428 -> 27[label="",style="dashed", color="red", weight=0]; 428[label="xy31 == xy401",fontsize=16,color="magenta"];428 -> 616[label="",style="dashed", color="magenta", weight=3]; 428 -> 617[label="",style="dashed", color="magenta", weight=3]; 429 -> 28[label="",style="dashed", color="red", weight=0]; 429[label="xy31 == xy401",fontsize=16,color="magenta"];429 -> 618[label="",style="dashed", color="magenta", weight=3]; 429 -> 619[label="",style="dashed", color="magenta", weight=3]; 430[label="xy400",fontsize=16,color="green",shape="box"];431[label="xy30",fontsize=16,color="green",shape="box"];432[label="xy400",fontsize=16,color="green",shape="box"];433[label="xy30",fontsize=16,color="green",shape="box"];434[label="xy400",fontsize=16,color="green",shape="box"];435[label="xy30",fontsize=16,color="green",shape="box"];436[label="xy400",fontsize=16,color="green",shape="box"];437[label="xy30",fontsize=16,color="green",shape="box"];438[label="xy400",fontsize=16,color="green",shape="box"];439[label="xy30",fontsize=16,color="green",shape="box"];440[label="xy400",fontsize=16,color="green",shape="box"];441[label="xy30",fontsize=16,color="green",shape="box"];442[label="xy400",fontsize=16,color="green",shape="box"];443[label="xy30",fontsize=16,color="green",shape="box"];444[label="xy400",fontsize=16,color="green",shape="box"];445[label="xy30",fontsize=16,color="green",shape="box"];446[label="xy400",fontsize=16,color="green",shape="box"];447[label="xy30",fontsize=16,color="green",shape="box"];448[label="xy400",fontsize=16,color="green",shape="box"];449[label="xy30",fontsize=16,color="green",shape="box"];450[label="xy400",fontsize=16,color="green",shape="box"];451[label="xy30",fontsize=16,color="green",shape="box"];452[label="xy400",fontsize=16,color="green",shape="box"];453[label="xy30",fontsize=16,color="green",shape="box"];454[label="xy400",fontsize=16,color="green",shape="box"];455[label="xy30",fontsize=16,color="green",shape="box"];456[label="xy400",fontsize=16,color="green",shape="box"];457[label="xy30",fontsize=16,color="green",shape="box"];458 -> 200[label="",style="dashed", color="red", weight=0]; 458[label="primEqNat xy300 xy4000",fontsize=16,color="magenta"];458 -> 620[label="",style="dashed", color="magenta", weight=3]; 458 -> 621[label="",style="dashed", color="magenta", weight=3]; 459[label="False",fontsize=16,color="green",shape="box"];460[label="False",fontsize=16,color="green",shape="box"];461[label="True",fontsize=16,color="green",shape="box"];462[label="False",fontsize=16,color="green",shape="box"];463[label="True",fontsize=16,color="green",shape="box"];464 -> 200[label="",style="dashed", color="red", weight=0]; 464[label="primEqNat xy300 xy4000",fontsize=16,color="magenta"];464 -> 622[label="",style="dashed", color="magenta", weight=3]; 464 -> 623[label="",style="dashed", color="magenta", weight=3]; 465[label="False",fontsize=16,color="green",shape="box"];466[label="False",fontsize=16,color="green",shape="box"];467[label="True",fontsize=16,color="green",shape="box"];468[label="False",fontsize=16,color="green",shape="box"];469[label="True",fontsize=16,color="green",shape="box"];470[label="primEqNat (Succ xy300) (Succ xy4000)",fontsize=16,color="black",shape="box"];470 -> 624[label="",style="solid", color="black", weight=3]; 471[label="primEqNat (Succ xy300) Zero",fontsize=16,color="black",shape="box"];471 -> 625[label="",style="solid", color="black", weight=3]; 472[label="primEqNat Zero (Succ xy4000)",fontsize=16,color="black",shape="box"];472 -> 626[label="",style="solid", color="black", weight=3]; 473[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];473 -> 627[label="",style="solid", color="black", weight=3]; 474[label="xy400",fontsize=16,color="green",shape="box"];475[label="xy30",fontsize=16,color="green",shape="box"];476[label="xy400",fontsize=16,color="green",shape="box"];477[label="xy30",fontsize=16,color="green",shape="box"];478[label="xy400",fontsize=16,color="green",shape="box"];479[label="xy30",fontsize=16,color="green",shape="box"];480[label="xy400",fontsize=16,color="green",shape="box"];481[label="xy30",fontsize=16,color="green",shape="box"];482[label="xy400",fontsize=16,color="green",shape="box"];483[label="xy30",fontsize=16,color="green",shape="box"];484[label="xy400",fontsize=16,color="green",shape="box"];485[label="xy30",fontsize=16,color="green",shape="box"];486[label="xy400",fontsize=16,color="green",shape="box"];487[label="xy30",fontsize=16,color="green",shape="box"];488[label="xy400",fontsize=16,color="green",shape="box"];489[label="xy30",fontsize=16,color="green",shape="box"];490[label="xy400",fontsize=16,color="green",shape="box"];491[label="xy30",fontsize=16,color="green",shape="box"];492[label="xy400",fontsize=16,color="green",shape="box"];493[label="xy30",fontsize=16,color="green",shape="box"];494[label="xy400",fontsize=16,color="green",shape="box"];495[label="xy30",fontsize=16,color="green",shape="box"];496[label="xy400",fontsize=16,color="green",shape="box"];497[label="xy30",fontsize=16,color="green",shape="box"];498[label="xy400",fontsize=16,color="green",shape="box"];499[label="xy30",fontsize=16,color="green",shape="box"];500[label="xy400",fontsize=16,color="green",shape="box"];501[label="xy30",fontsize=16,color="green",shape="box"];502[label="xy31",fontsize=16,color="green",shape="box"];503[label="xy400",fontsize=16,color="green",shape="box"];504[label="xy30",fontsize=16,color="green",shape="box"];505[label="xy401",fontsize=16,color="green",shape="box"];506[label="xy401",fontsize=16,color="green",shape="box"];507[label="xy31",fontsize=16,color="green",shape="box"];508[label="xy401",fontsize=16,color="green",shape="box"];509[label="xy31",fontsize=16,color="green",shape="box"];510[label="xy401",fontsize=16,color="green",shape="box"];511[label="xy31",fontsize=16,color="green",shape="box"];512[label="xy401",fontsize=16,color="green",shape="box"];513[label="xy31",fontsize=16,color="green",shape="box"];514[label="xy401",fontsize=16,color="green",shape="box"];515[label="xy31",fontsize=16,color="green",shape="box"];516[label="xy401",fontsize=16,color="green",shape="box"];517[label="xy31",fontsize=16,color="green",shape="box"];518[label="xy401",fontsize=16,color="green",shape="box"];519[label="xy31",fontsize=16,color="green",shape="box"];520[label="xy401",fontsize=16,color="green",shape="box"];521[label="xy31",fontsize=16,color="green",shape="box"];522[label="xy401",fontsize=16,color="green",shape="box"];523[label="xy31",fontsize=16,color="green",shape="box"];524[label="xy401",fontsize=16,color="green",shape="box"];525[label="xy31",fontsize=16,color="green",shape="box"];526[label="xy401",fontsize=16,color="green",shape="box"];527[label="xy31",fontsize=16,color="green",shape="box"];528[label="xy401",fontsize=16,color="green",shape="box"];529[label="xy31",fontsize=16,color="green",shape="box"];530[label="xy401",fontsize=16,color="green",shape="box"];531[label="xy31",fontsize=16,color="green",shape="box"];532[label="xy401",fontsize=16,color="green",shape="box"];533[label="xy31",fontsize=16,color="green",shape="box"];534[label="xy400",fontsize=16,color="green",shape="box"];535[label="xy30",fontsize=16,color="green",shape="box"];536[label="xy400",fontsize=16,color="green",shape="box"];537[label="xy30",fontsize=16,color="green",shape="box"];538[label="xy400",fontsize=16,color="green",shape="box"];539[label="xy30",fontsize=16,color="green",shape="box"];540[label="xy400",fontsize=16,color="green",shape="box"];541[label="xy30",fontsize=16,color="green",shape="box"];542[label="xy400",fontsize=16,color="green",shape="box"];543[label="xy30",fontsize=16,color="green",shape="box"];544[label="xy400",fontsize=16,color="green",shape="box"];545[label="xy30",fontsize=16,color="green",shape="box"];546[label="xy400",fontsize=16,color="green",shape="box"];547[label="xy30",fontsize=16,color="green",shape="box"];548[label="xy400",fontsize=16,color="green",shape="box"];549[label="xy30",fontsize=16,color="green",shape="box"];550[label="xy400",fontsize=16,color="green",shape="box"];551[label="xy30",fontsize=16,color="green",shape="box"];552[label="xy400",fontsize=16,color="green",shape="box"];553[label="xy30",fontsize=16,color="green",shape="box"];554[label="xy400",fontsize=16,color="green",shape="box"];555[label="xy30",fontsize=16,color="green",shape="box"];556[label="xy400",fontsize=16,color="green",shape="box"];557[label="xy30",fontsize=16,color="green",shape="box"];558[label="xy400",fontsize=16,color="green",shape="box"];559[label="xy30",fontsize=16,color="green",shape="box"];560[label="xy400",fontsize=16,color="green",shape="box"];561[label="xy30",fontsize=16,color="green",shape="box"];562[label="primMulInt (Pos xy310) xy400",fontsize=16,color="burlywood",shape="box"];914[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];562 -> 914[label="",style="solid", color="burlywood", weight=9]; 914 -> 628[label="",style="solid", color="burlywood", weight=3]; 915[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];562 -> 915[label="",style="solid", color="burlywood", weight=9]; 915 -> 629[label="",style="solid", color="burlywood", weight=3]; 563[label="primMulInt (Neg xy310) xy400",fontsize=16,color="burlywood",shape="box"];916[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];563 -> 916[label="",style="solid", color="burlywood", weight=9]; 916 -> 630[label="",style="solid", color="burlywood", weight=3]; 917[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];563 -> 917[label="",style="solid", color="burlywood", weight=9]; 917 -> 631[label="",style="solid", color="burlywood", weight=3]; 564[label="xy402",fontsize=16,color="green",shape="box"];565[label="xy32",fontsize=16,color="green",shape="box"];566[label="xy402",fontsize=16,color="green",shape="box"];567[label="xy32",fontsize=16,color="green",shape="box"];568[label="xy402",fontsize=16,color="green",shape="box"];569[label="xy32",fontsize=16,color="green",shape="box"];570[label="xy402",fontsize=16,color="green",shape="box"];571[label="xy32",fontsize=16,color="green",shape="box"];572[label="xy402",fontsize=16,color="green",shape="box"];573[label="xy32",fontsize=16,color="green",shape="box"];574[label="xy402",fontsize=16,color="green",shape="box"];575[label="xy32",fontsize=16,color="green",shape="box"];576[label="xy402",fontsize=16,color="green",shape="box"];577[label="xy32",fontsize=16,color="green",shape="box"];578[label="xy402",fontsize=16,color="green",shape="box"];579[label="xy32",fontsize=16,color="green",shape="box"];580[label="xy402",fontsize=16,color="green",shape="box"];581[label="xy32",fontsize=16,color="green",shape="box"];582[label="xy402",fontsize=16,color="green",shape="box"];583[label="xy32",fontsize=16,color="green",shape="box"];584[label="xy402",fontsize=16,color="green",shape="box"];585[label="xy32",fontsize=16,color="green",shape="box"];586[label="xy402",fontsize=16,color="green",shape="box"];587[label="xy32",fontsize=16,color="green",shape="box"];588[label="xy402",fontsize=16,color="green",shape="box"];589[label="xy32",fontsize=16,color="green",shape="box"];590[label="xy402",fontsize=16,color="green",shape="box"];591[label="xy32",fontsize=16,color="green",shape="box"];592[label="xy401",fontsize=16,color="green",shape="box"];593[label="xy31",fontsize=16,color="green",shape="box"];594[label="xy401",fontsize=16,color="green",shape="box"];595[label="xy31",fontsize=16,color="green",shape="box"];596[label="xy401",fontsize=16,color="green",shape="box"];597[label="xy31",fontsize=16,color="green",shape="box"];598[label="xy401",fontsize=16,color="green",shape="box"];599[label="xy31",fontsize=16,color="green",shape="box"];600[label="xy401",fontsize=16,color="green",shape="box"];601[label="xy31",fontsize=16,color="green",shape="box"];602[label="xy401",fontsize=16,color="green",shape="box"];603[label="xy31",fontsize=16,color="green",shape="box"];604[label="xy401",fontsize=16,color="green",shape="box"];605[label="xy31",fontsize=16,color="green",shape="box"];606[label="xy401",fontsize=16,color="green",shape="box"];607[label="xy31",fontsize=16,color="green",shape="box"];608[label="xy401",fontsize=16,color="green",shape="box"];609[label="xy31",fontsize=16,color="green",shape="box"];610[label="xy401",fontsize=16,color="green",shape="box"];611[label="xy31",fontsize=16,color="green",shape="box"];612[label="xy401",fontsize=16,color="green",shape="box"];613[label="xy31",fontsize=16,color="green",shape="box"];614[label="xy401",fontsize=16,color="green",shape="box"];615[label="xy31",fontsize=16,color="green",shape="box"];616[label="xy401",fontsize=16,color="green",shape="box"];617[label="xy31",fontsize=16,color="green",shape="box"];618[label="xy401",fontsize=16,color="green",shape="box"];619[label="xy31",fontsize=16,color="green",shape="box"];620[label="xy4000",fontsize=16,color="green",shape="box"];621[label="xy300",fontsize=16,color="green",shape="box"];622[label="xy4000",fontsize=16,color="green",shape="box"];623[label="xy300",fontsize=16,color="green",shape="box"];624 -> 200[label="",style="dashed", color="red", weight=0]; 624[label="primEqNat xy300 xy4000",fontsize=16,color="magenta"];624 -> 632[label="",style="dashed", color="magenta", weight=3]; 624 -> 633[label="",style="dashed", color="magenta", weight=3]; 625[label="False",fontsize=16,color="green",shape="box"];626[label="False",fontsize=16,color="green",shape="box"];627[label="True",fontsize=16,color="green",shape="box"];628[label="primMulInt (Pos xy310) (Pos xy4000)",fontsize=16,color="black",shape="box"];628 -> 634[label="",style="solid", color="black", weight=3]; 629[label="primMulInt (Pos xy310) (Neg xy4000)",fontsize=16,color="black",shape="box"];629 -> 635[label="",style="solid", color="black", weight=3]; 630[label="primMulInt (Neg xy310) (Pos xy4000)",fontsize=16,color="black",shape="box"];630 -> 636[label="",style="solid", color="black", weight=3]; 631[label="primMulInt (Neg xy310) (Neg xy4000)",fontsize=16,color="black",shape="box"];631 -> 637[label="",style="solid", color="black", weight=3]; 632[label="xy4000",fontsize=16,color="green",shape="box"];633[label="xy300",fontsize=16,color="green",shape="box"];634[label="Pos (primMulNat xy310 xy4000)",fontsize=16,color="green",shape="box"];634 -> 638[label="",style="dashed", color="green", weight=3]; 635[label="Neg (primMulNat xy310 xy4000)",fontsize=16,color="green",shape="box"];635 -> 639[label="",style="dashed", color="green", weight=3]; 636[label="Neg (primMulNat xy310 xy4000)",fontsize=16,color="green",shape="box"];636 -> 640[label="",style="dashed", color="green", weight=3]; 637[label="Pos (primMulNat xy310 xy4000)",fontsize=16,color="green",shape="box"];637 -> 641[label="",style="dashed", color="green", weight=3]; 638[label="primMulNat xy310 xy4000",fontsize=16,color="burlywood",shape="triangle"];918[label="xy310/Succ xy3100",fontsize=10,color="white",style="solid",shape="box"];638 -> 918[label="",style="solid", color="burlywood", weight=9]; 918 -> 642[label="",style="solid", color="burlywood", weight=3]; 919[label="xy310/Zero",fontsize=10,color="white",style="solid",shape="box"];638 -> 919[label="",style="solid", color="burlywood", weight=9]; 919 -> 643[label="",style="solid", color="burlywood", weight=3]; 639 -> 638[label="",style="dashed", color="red", weight=0]; 639[label="primMulNat xy310 xy4000",fontsize=16,color="magenta"];639 -> 644[label="",style="dashed", color="magenta", weight=3]; 640 -> 638[label="",style="dashed", color="red", weight=0]; 640[label="primMulNat xy310 xy4000",fontsize=16,color="magenta"];640 -> 645[label="",style="dashed", color="magenta", weight=3]; 641 -> 638[label="",style="dashed", color="red", weight=0]; 641[label="primMulNat xy310 xy4000",fontsize=16,color="magenta"];641 -> 646[label="",style="dashed", color="magenta", weight=3]; 641 -> 647[label="",style="dashed", color="magenta", weight=3]; 642[label="primMulNat (Succ xy3100) xy4000",fontsize=16,color="burlywood",shape="box"];920[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];642 -> 920[label="",style="solid", color="burlywood", weight=9]; 920 -> 648[label="",style="solid", color="burlywood", weight=3]; 921[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];642 -> 921[label="",style="solid", color="burlywood", weight=9]; 921 -> 649[label="",style="solid", color="burlywood", weight=3]; 643[label="primMulNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];922[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];643 -> 922[label="",style="solid", color="burlywood", weight=9]; 922 -> 650[label="",style="solid", color="burlywood", weight=3]; 923[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];643 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 651[label="",style="solid", color="burlywood", weight=3]; 644[label="xy4000",fontsize=16,color="green",shape="box"];645[label="xy310",fontsize=16,color="green",shape="box"];646[label="xy310",fontsize=16,color="green",shape="box"];647[label="xy4000",fontsize=16,color="green",shape="box"];648[label="primMulNat (Succ xy3100) (Succ xy40000)",fontsize=16,color="black",shape="box"];648 -> 652[label="",style="solid", color="black", weight=3]; 649[label="primMulNat (Succ xy3100) Zero",fontsize=16,color="black",shape="box"];649 -> 653[label="",style="solid", color="black", weight=3]; 650[label="primMulNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];650 -> 654[label="",style="solid", color="black", weight=3]; 651[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];651 -> 655[label="",style="solid", color="black", weight=3]; 652 -> 656[label="",style="dashed", color="red", weight=0]; 652[label="primPlusNat (primMulNat xy3100 (Succ xy40000)) (Succ xy40000)",fontsize=16,color="magenta"];652 -> 657[label="",style="dashed", color="magenta", weight=3]; 653[label="Zero",fontsize=16,color="green",shape="box"];654[label="Zero",fontsize=16,color="green",shape="box"];655[label="Zero",fontsize=16,color="green",shape="box"];657 -> 638[label="",style="dashed", color="red", weight=0]; 657[label="primMulNat xy3100 (Succ xy40000)",fontsize=16,color="magenta"];657 -> 658[label="",style="dashed", color="magenta", weight=3]; 657 -> 659[label="",style="dashed", color="magenta", weight=3]; 656[label="primPlusNat xy27 (Succ xy40000)",fontsize=16,color="burlywood",shape="triangle"];924[label="xy27/Succ xy270",fontsize=10,color="white",style="solid",shape="box"];656 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 660[label="",style="solid", color="burlywood", weight=3]; 925[label="xy27/Zero",fontsize=10,color="white",style="solid",shape="box"];656 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 661[label="",style="solid", color="burlywood", weight=3]; 658[label="xy3100",fontsize=16,color="green",shape="box"];659[label="Succ xy40000",fontsize=16,color="green",shape="box"];660[label="primPlusNat (Succ xy270) (Succ xy40000)",fontsize=16,color="black",shape="box"];660 -> 662[label="",style="solid", color="black", weight=3]; 661[label="primPlusNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];661 -> 663[label="",style="solid", color="black", weight=3]; 662[label="Succ (Succ (primPlusNat xy270 xy40000))",fontsize=16,color="green",shape="box"];662 -> 664[label="",style="dashed", color="green", weight=3]; 663[label="Succ xy40000",fontsize=16,color="green",shape="box"];664[label="primPlusNat xy270 xy40000",fontsize=16,color="burlywood",shape="triangle"];926[label="xy270/Succ xy2700",fontsize=10,color="white",style="solid",shape="box"];664 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 665[label="",style="solid", color="burlywood", weight=3]; 927[label="xy270/Zero",fontsize=10,color="white",style="solid",shape="box"];664 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 666[label="",style="solid", color="burlywood", weight=3]; 665[label="primPlusNat (Succ xy2700) xy40000",fontsize=16,color="burlywood",shape="box"];928[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];665 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 667[label="",style="solid", color="burlywood", weight=3]; 929[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 668[label="",style="solid", color="burlywood", weight=3]; 666[label="primPlusNat Zero xy40000",fontsize=16,color="burlywood",shape="box"];930[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];666 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 669[label="",style="solid", color="burlywood", weight=3]; 931[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];666 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 670[label="",style="solid", color="burlywood", weight=3]; 667[label="primPlusNat (Succ xy2700) (Succ xy400000)",fontsize=16,color="black",shape="box"];667 -> 671[label="",style="solid", color="black", weight=3]; 668[label="primPlusNat (Succ xy2700) Zero",fontsize=16,color="black",shape="box"];668 -> 672[label="",style="solid", color="black", weight=3]; 669[label="primPlusNat Zero (Succ xy400000)",fontsize=16,color="black",shape="box"];669 -> 673[label="",style="solid", color="black", weight=3]; 670[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];670 -> 674[label="",style="solid", color="black", weight=3]; 671[label="Succ (Succ (primPlusNat xy2700 xy400000))",fontsize=16,color="green",shape="box"];671 -> 675[label="",style="dashed", color="green", weight=3]; 672[label="Succ xy2700",fontsize=16,color="green",shape="box"];673[label="Succ xy400000",fontsize=16,color="green",shape="box"];674[label="Zero",fontsize=16,color="green",shape="box"];675 -> 664[label="",style="dashed", color="red", weight=0]; 675[label="primPlusNat xy2700 xy400000",fontsize=16,color="magenta"];675 -> 676[label="",style="dashed", color="magenta", weight=3]; 675 -> 677[label="",style="dashed", color="magenta", weight=3]; 676[label="xy400000",fontsize=16,color="green",shape="box"];677[label="xy2700",fontsize=16,color="green",shape="box"];} ---------------------------------------- (8) Complex Obligation (AND) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy(xy3, :(xy40, xy41), bb) -> new_deleteBy0(xy41, xy40, xy3, new_esEs4(xy3, xy40, bb), bb) new_deleteBy0(xy10, xy11, xy12, False, ba) -> new_deleteBy(xy12, xy10, ba) The TRS R consists of the following rules: new_esEs20(xy31, xy401, ty_Int) -> new_esEs12(xy31, xy401) new_esEs4(xy3, xy40, ty_Ordering) -> new_esEs17(xy3, xy40) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs21(xy30, xy400, app(ty_Maybe, bbe)) -> new_esEs10(xy30, xy400, bbe) new_esEs21(xy30, xy400, app(ty_Ratio, bba)) -> new_esEs7(xy30, xy400, bba) new_esEs10(Just(xy30), Just(xy400), app(app(ty_Either, gd), ge)) -> new_esEs5(xy30, xy400, gd, ge) new_esEs20(xy31, xy401, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs9(xy31, xy401, hh, baa, bab) new_esEs19(xy30, xy400, app(app(ty_Either, eh), fa)) -> new_esEs5(xy30, xy400, eh, fa) new_esEs20(xy31, xy401, ty_Integer) -> new_esEs15(xy31, xy401) new_esEs10(Nothing, Nothing, ff) -> True new_esEs23(xy31, xy401, ty_Char) -> new_esEs13(xy31, xy401) new_esEs4(xy3, xy40, ty_Char) -> new_esEs13(xy3, xy40) new_esEs21(xy30, xy400, ty_Float) -> new_esEs8(xy30, xy400) new_esEs10(Nothing, Just(xy400), ff) -> False new_esEs10(Just(xy30), Nothing, ff) -> False new_esEs6(False, True) -> False new_esEs6(True, False) -> False new_esEs16(Double(xy30, xy31), Double(xy400, xy401)) -> new_esEs12(new_sr(xy30, xy401), new_sr(xy31, xy400)) new_esEs22(xy32, xy402, ty_Integer) -> new_esEs15(xy32, xy402) new_esEs20(xy31, xy401, ty_Bool) -> new_esEs6(xy31, xy401) new_esEs23(xy31, xy401, ty_Double) -> new_esEs16(xy31, xy401) new_esEs5(Left(xy30), Left(xy400), ty_@0, bc) -> new_esEs11(xy30, xy400) new_esEs22(xy32, xy402, ty_Int) -> new_esEs12(xy32, xy402) new_esEs24(xy30, xy400, ty_@0) -> new_esEs11(xy30, xy400) new_esEs23(xy31, xy401, app(ty_Maybe, bea)) -> new_esEs10(xy31, xy401, bea) new_esEs15(Integer(xy30), Integer(xy400)) -> new_primEqInt(xy30, xy400) new_esEs19(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs5(Right(xy30), Right(xy400), cf, ty_@0) -> new_esEs11(xy30, xy400) new_asAs(True, xy26) -> xy26 new_esEs5(Left(xy30), Left(xy400), app(app(ty_@2, cd), ce), bc) -> new_esEs18(xy30, xy400, cd, ce) new_esEs23(xy31, xy401, app(app(ty_Either, beb), bec)) -> new_esEs5(xy31, xy401, beb, bec) new_primEqInt(Pos(Succ(xy300)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy4000))) -> False new_esEs17(LT, LT) -> True new_esEs19(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs19(xy30, xy400, ty_Char) -> new_esEs13(xy30, xy400) new_esEs5(Left(xy30), Left(xy400), ty_Integer, bc) -> new_esEs15(xy30, xy400) new_esEs21(xy30, xy400, ty_Double) -> new_esEs16(xy30, xy400) new_esEs24(xy30, xy400, ty_Integer) -> new_esEs15(xy30, xy400) new_primEqNat0(Succ(xy300), Succ(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs4(xy3, xy40, app(ty_Maybe, ff)) -> new_esEs10(xy3, xy40, ff) new_esEs8(Float(xy30, xy31), Float(xy400, xy401)) -> new_esEs12(new_sr(xy30, xy401), new_sr(xy31, xy400)) new_esEs10(Just(xy30), Just(xy400), ty_Int) -> new_esEs12(xy30, xy400) new_esEs22(xy32, xy402, ty_@0) -> new_esEs11(xy32, xy402) new_esEs5(Right(xy30), Right(xy400), cf, ty_Int) -> new_esEs12(xy30, xy400) new_esEs23(xy31, xy401, app(app(ty_@2, bee), bef)) -> new_esEs18(xy31, xy401, bee, bef) new_esEs5(Right(xy30), Right(xy400), cf, app(app(app(ty_@3, da), db), dc)) -> new_esEs9(xy30, xy400, da, db, dc) new_esEs4(xy3, xy40, app(ty_[], eb)) -> new_esEs14(xy3, xy40, eb) new_esEs25(xy31, xy401, ty_Integer) -> new_esEs15(xy31, xy401) new_esEs14([], [], eb) -> True new_primMulNat0(Zero, Zero) -> Zero new_esEs10(Just(xy30), Just(xy400), ty_Bool) -> new_esEs6(xy30, xy400) new_esEs10(Just(xy30), Just(xy400), app(ty_Maybe, gc)) -> new_esEs10(xy30, xy400, gc) new_esEs24(xy30, xy400, app(ty_[], bff)) -> new_esEs14(xy30, xy400, bff) new_esEs10(Just(xy30), Just(xy400), app(ty_Ratio, fg)) -> new_esEs7(xy30, xy400, fg) new_esEs10(Just(xy30), Just(xy400), ty_Integer) -> new_esEs15(xy30, xy400) new_esEs26(xy30, xy400, ty_Integer) -> new_esEs15(xy30, xy400) new_esEs5(Right(xy30), Right(xy400), cf, ty_Integer) -> new_esEs15(xy30, xy400) new_esEs24(xy30, xy400, app(app(ty_@2, bfg), bfh)) -> new_esEs18(xy30, xy400, bfg, bfh) new_esEs25(xy31, xy401, ty_Int) -> new_esEs12(xy31, xy401) new_esEs5(Left(xy30), Left(xy400), app(app(app(ty_@3, be), bf), bg), bc) -> new_esEs9(xy30, xy400, be, bf, bg) new_esEs20(xy31, xy401, ty_Ordering) -> new_esEs17(xy31, xy401) new_esEs19(xy30, xy400, ty_Float) -> new_esEs8(xy30, xy400) new_esEs20(xy31, xy401, app(app(ty_Either, bad), bae)) -> new_esEs5(xy31, xy401, bad, bae) new_esEs5(Right(xy30), Right(xy400), cf, app(app(ty_Either, de), df)) -> new_esEs5(xy30, xy400, de, df) new_esEs19(xy30, xy400, ty_Integer) -> new_esEs15(xy30, xy400) new_primEqNat0(Succ(xy300), Zero) -> False new_primEqNat0(Zero, Succ(xy4000)) -> False new_esEs5(Right(xy30), Right(xy400), cf, ty_Float) -> new_esEs8(xy30, xy400) new_esEs23(xy31, xy401, app(ty_[], bed)) -> new_esEs14(xy31, xy401, bed) new_esEs19(xy30, xy400, app(ty_Ratio, ec)) -> new_esEs7(xy30, xy400, ec) new_esEs24(xy30, xy400, ty_Bool) -> new_esEs6(xy30, xy400) new_esEs19(xy30, xy400, ty_Bool) -> new_esEs6(xy30, xy400) new_esEs21(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs17(EQ, GT) -> False new_esEs17(GT, EQ) -> False new_esEs5(Left(xy30), Left(xy400), ty_Bool, bc) -> new_esEs6(xy30, xy400) new_esEs22(xy32, xy402, app(app(app(ty_@3, bcd), bce), bcf)) -> new_esEs9(xy32, xy402, bcd, bce, bcf) new_esEs17(GT, GT) -> True new_primEqInt(Neg(Succ(xy300)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy4000))) -> False new_esEs10(Just(xy30), Just(xy400), ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs5(Left(xy30), Left(xy400), app(ty_[], cc), bc) -> new_esEs14(xy30, xy400, cc) new_primEqInt(Pos(Succ(xy300)), Pos(Succ(xy4000))) -> new_primEqNat0(xy300, xy4000) new_esEs4(xy3, xy40, app(app(app(ty_@3, hb), hc), hd)) -> new_esEs9(xy3, xy40, hb, hc, hd) new_sr(Pos(xy310), Neg(xy4000)) -> Neg(new_primMulNat0(xy310, xy4000)) new_sr(Neg(xy310), Pos(xy4000)) -> Neg(new_primMulNat0(xy310, xy4000)) new_esEs5(Right(xy30), Right(xy400), cf, app(ty_[], dg)) -> new_esEs14(xy30, xy400, dg) new_primPlusNat1(Succ(xy2700), Succ(xy400000)) -> Succ(Succ(new_primPlusNat1(xy2700, xy400000))) new_esEs4(xy3, xy40, ty_Double) -> new_esEs16(xy3, xy40) new_primEqInt(Pos(Succ(xy300)), Neg(xy400)) -> False new_primEqInt(Neg(Succ(xy300)), Pos(xy400)) -> False new_esEs5(Left(xy30), Left(xy400), ty_Int, bc) -> new_esEs12(xy30, xy400) new_esEs20(xy31, xy401, ty_Float) -> new_esEs8(xy31, xy401) new_esEs10(Just(xy30), Just(xy400), ty_Float) -> new_esEs8(xy30, xy400) new_esEs5(Right(xy30), Right(xy400), cf, app(app(ty_@2, dh), ea)) -> new_esEs18(xy30, xy400, dh, ea) new_esEs24(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs5(Right(xy30), Right(xy400), cf, ty_Bool) -> new_esEs6(xy30, xy400) new_esEs14(:(xy30, xy31), [], eb) -> False new_esEs14([], :(xy400, xy401), eb) -> False new_esEs22(xy32, xy402, ty_Double) -> new_esEs16(xy32, xy402) new_esEs21(xy30, xy400, ty_Bool) -> new_esEs6(xy30, xy400) new_esEs24(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs5(Left(xy30), Left(xy400), ty_Char, bc) -> new_esEs13(xy30, xy400) new_esEs21(xy30, xy400, ty_Integer) -> new_esEs15(xy30, xy400) new_esEs13(Char(xy30), Char(xy400)) -> new_primEqNat0(xy30, xy400) new_esEs20(xy31, xy401, app(ty_Ratio, hg)) -> new_esEs7(xy31, xy401, hg) new_esEs12(xy3, xy40) -> new_primEqInt(xy3, xy40) new_esEs20(xy31, xy401, app(ty_Maybe, bac)) -> new_esEs10(xy31, xy401, bac) new_esEs21(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_sr(Neg(xy310), Neg(xy4000)) -> Pos(new_primMulNat0(xy310, xy4000)) new_esEs4(xy3, xy40, ty_@0) -> new_esEs11(xy3, xy40) new_esEs23(xy31, xy401, ty_@0) -> new_esEs11(xy31, xy401) new_esEs14(:(xy30, xy31), :(xy400, xy401), eb) -> new_asAs(new_esEs19(xy30, xy400, eb), new_esEs14(xy31, xy401, eb)) new_esEs22(xy32, xy402, app(ty_Maybe, bcg)) -> new_esEs10(xy32, xy402, bcg) new_esEs5(Left(xy30), Left(xy400), ty_Double, bc) -> new_esEs16(xy30, xy400) new_esEs5(Left(xy30), Left(xy400), ty_Ordering, bc) -> new_esEs17(xy30, xy400) new_primEqInt(Pos(Zero), Neg(Succ(xy4000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy4000))) -> False new_esEs24(xy30, xy400, ty_Char) -> new_esEs13(xy30, xy400) new_esEs19(xy30, xy400, app(app(ty_@2, fc), fd)) -> new_esEs18(xy30, xy400, fc, fd) new_esEs20(xy31, xy401, app(ty_[], baf)) -> new_esEs14(xy31, xy401, baf) new_esEs5(Left(xy30), Right(xy400), cf, bc) -> False new_esEs5(Right(xy30), Left(xy400), cf, bc) -> False new_esEs22(xy32, xy402, ty_Float) -> new_esEs8(xy32, xy402) new_esEs6(True, True) -> True new_esEs19(xy30, xy400, app(ty_[], fb)) -> new_esEs14(xy30, xy400, fb) new_esEs17(EQ, EQ) -> True new_esEs24(xy30, xy400, app(app(ty_Either, bfd), bfe)) -> new_esEs5(xy30, xy400, bfd, bfe) new_esEs24(xy30, xy400, ty_Double) -> new_esEs16(xy30, xy400) new_esEs23(xy31, xy401, ty_Bool) -> new_esEs6(xy31, xy401) new_esEs23(xy31, xy401, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs9(xy31, xy401, bdf, bdg, bdh) new_primEqInt(Neg(Succ(xy300)), Neg(Succ(xy4000))) -> new_primEqNat0(xy300, xy4000) new_esEs17(LT, EQ) -> False new_esEs17(EQ, LT) -> False new_esEs23(xy31, xy401, ty_Int) -> new_esEs12(xy31, xy401) new_esEs20(xy31, xy401, app(app(ty_@2, bag), bah)) -> new_esEs18(xy31, xy401, bag, bah) new_primPlusNat0(Succ(xy270), xy40000) -> Succ(Succ(new_primPlusNat1(xy270, xy40000))) new_esEs22(xy32, xy402, ty_Ordering) -> new_esEs17(xy32, xy402) new_esEs10(Just(xy30), Just(xy400), app(app(ty_@2, gg), gh)) -> new_esEs18(xy30, xy400, gg, gh) new_esEs6(False, False) -> True new_esEs19(xy30, xy400, ty_@0) -> new_esEs11(xy30, xy400) new_esEs5(Right(xy30), Right(xy400), cf, ty_Char) -> new_esEs13(xy30, xy400) new_primPlusNat1(Zero, Zero) -> Zero new_esEs7(:%(xy30, xy31), :%(xy400, xy401), ha) -> new_asAs(new_esEs26(xy30, xy400, ha), new_esEs25(xy31, xy401, ha)) new_primMulNat0(Succ(xy3100), Zero) -> Zero new_primMulNat0(Zero, Succ(xy40000)) -> Zero new_esEs22(xy32, xy402, app(ty_Ratio, bcc)) -> new_esEs7(xy32, xy402, bcc) new_sr(Pos(xy310), Pos(xy4000)) -> Pos(new_primMulNat0(xy310, xy4000)) new_esEs21(xy30, xy400, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs9(xy30, xy400, bbb, bbc, bbd) new_primPlusNat0(Zero, xy40000) -> Succ(xy40000) new_esEs19(xy30, xy400, app(ty_Maybe, eg)) -> new_esEs10(xy30, xy400, eg) new_esEs22(xy32, xy402, app(ty_[], bdb)) -> new_esEs14(xy32, xy402, bdb) new_esEs5(Left(xy30), Left(xy400), ty_Float, bc) -> new_esEs8(xy30, xy400) new_esEs5(Right(xy30), Right(xy400), cf, ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs22(xy32, xy402, ty_Char) -> new_esEs13(xy32, xy402) new_esEs17(LT, GT) -> False new_esEs17(GT, LT) -> False new_esEs24(xy30, xy400, ty_Float) -> new_esEs8(xy30, xy400) new_esEs5(Left(xy30), Left(xy400), app(app(ty_Either, ca), cb), bc) -> new_esEs5(xy30, xy400, ca, cb) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs21(xy30, xy400, app(app(ty_Either, bbf), bbg)) -> new_esEs5(xy30, xy400, bbf, bbg) new_primMulNat0(Succ(xy3100), Succ(xy40000)) -> new_primPlusNat0(new_primMulNat0(xy3100, Succ(xy40000)), xy40000) new_esEs19(xy30, xy400, ty_Double) -> new_esEs16(xy30, xy400) new_esEs4(xy3, xy40, ty_Int) -> new_esEs12(xy3, xy40) new_esEs9(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), hb, hc, hd) -> new_asAs(new_esEs24(xy30, xy400, hb), new_asAs(new_esEs23(xy31, xy401, hc), new_esEs22(xy32, xy402, hd))) new_esEs26(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs22(xy32, xy402, app(app(ty_@2, bdc), bdd)) -> new_esEs18(xy32, xy402, bdc, bdd) new_primPlusNat1(Succ(xy2700), Zero) -> Succ(xy2700) new_primPlusNat1(Zero, Succ(xy400000)) -> Succ(xy400000) new_esEs5(Left(xy30), Left(xy400), app(ty_Ratio, bd), bc) -> new_esEs7(xy30, xy400, bd) new_esEs10(Just(xy30), Just(xy400), app(app(app(ty_@3, fh), ga), gb)) -> new_esEs9(xy30, xy400, fh, ga, gb) new_esEs24(xy30, xy400, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs9(xy30, xy400, beh, bfa, bfb) new_esEs10(Just(xy30), Just(xy400), ty_Double) -> new_esEs16(xy30, xy400) new_esEs4(xy3, xy40, app(ty_Ratio, ha)) -> new_esEs7(xy3, xy40, ha) new_esEs24(xy30, xy400, app(ty_Ratio, beg)) -> new_esEs7(xy30, xy400, beg) new_esEs4(xy3, xy40, app(app(ty_@2, he), hf)) -> new_esEs18(xy3, xy40, he, hf) new_esEs10(Just(xy30), Just(xy400), app(ty_[], gf)) -> new_esEs14(xy30, xy400, gf) new_esEs4(xy3, xy40, ty_Integer) -> new_esEs15(xy3, xy40) new_esEs20(xy31, xy401, ty_@0) -> new_esEs11(xy31, xy401) new_esEs21(xy30, xy400, app(app(ty_@2, bca), bcb)) -> new_esEs18(xy30, xy400, bca, bcb) new_esEs11(@0, @0) -> True new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs10(Just(xy30), Just(xy400), ty_Char) -> new_esEs13(xy30, xy400) new_esEs20(xy31, xy401, ty_Char) -> new_esEs13(xy31, xy401) new_esEs10(Just(xy30), Just(xy400), ty_@0) -> new_esEs11(xy30, xy400) new_esEs18(@2(xy30, xy31), @2(xy400, xy401), he, hf) -> new_asAs(new_esEs21(xy30, xy400, he), new_esEs20(xy31, xy401, hf)) new_esEs23(xy31, xy401, app(ty_Ratio, bde)) -> new_esEs7(xy31, xy401, bde) new_esEs5(Right(xy30), Right(xy400), cf, app(ty_Ratio, cg)) -> new_esEs7(xy30, xy400, cg) new_esEs23(xy31, xy401, ty_Integer) -> new_esEs15(xy31, xy401) new_primEqNat0(Zero, Zero) -> True new_esEs20(xy31, xy401, ty_Double) -> new_esEs16(xy31, xy401) new_esEs5(Right(xy30), Right(xy400), cf, app(ty_Maybe, dd)) -> new_esEs10(xy30, xy400, dd) new_esEs4(xy3, xy40, app(app(ty_Either, cf), bc)) -> new_esEs5(xy3, xy40, cf, bc) new_esEs4(xy3, xy40, ty_Bool) -> new_esEs6(xy3, xy40) new_esEs21(xy30, xy400, app(ty_[], bbh)) -> new_esEs14(xy30, xy400, bbh) new_asAs(False, xy26) -> False new_esEs4(xy3, xy40, ty_Float) -> new_esEs8(xy3, xy40) new_esEs21(xy30, xy400, ty_@0) -> new_esEs11(xy30, xy400) new_esEs5(Right(xy30), Right(xy400), cf, ty_Double) -> new_esEs16(xy30, xy400) new_esEs21(xy30, xy400, ty_Char) -> new_esEs13(xy30, xy400) new_esEs23(xy31, xy401, ty_Float) -> new_esEs8(xy31, xy401) new_esEs22(xy32, xy402, ty_Bool) -> new_esEs6(xy32, xy402) new_esEs5(Left(xy30), Left(xy400), app(ty_Maybe, bh), bc) -> new_esEs10(xy30, xy400, bh) new_esEs24(xy30, xy400, app(ty_Maybe, bfc)) -> new_esEs10(xy30, xy400, bfc) new_esEs19(xy30, xy400, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs9(xy30, xy400, ed, ee, ef) new_esEs22(xy32, xy402, app(app(ty_Either, bch), bda)) -> new_esEs5(xy32, xy402, bch, bda) new_esEs23(xy31, xy401, ty_Ordering) -> new_esEs17(xy31, xy401) The set Q consists of the following terms: new_esEs22(x0, x1, ty_Char) new_esEs10(Just(x0), Just(x1), ty_Integer) new_esEs10(Nothing, Just(x0), x1) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(:%(x0, x1), :%(x2, x3), x4) new_esEs23(x0, x1, ty_Ordering) new_esEs19(x0, x1, ty_@0) new_esEs8(Float(x0, x1), Float(x2, x3)) new_esEs23(x0, x1, ty_Float) new_esEs10(Nothing, Nothing, x0) new_esEs20(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Float) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs10(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Zero, Zero) new_primPlusNat1(Zero, Zero) new_esEs14([], :(x0, x1), x2) new_esEs22(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Double) new_asAs(False, x0) new_esEs20(x0, x1, ty_Float) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, ty_Double) new_esEs20(x0, x1, ty_Char) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs26(x0, x1, ty_Integer) new_esEs19(x0, x1, ty_Bool) new_esEs14(:(x0, x1), :(x2, x3), x4) new_esEs4(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Double) new_esEs10(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Int) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs5(Right(x0), Right(x1), x2, ty_Double) new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs20(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Double) new_esEs23(x0, x1, ty_Char) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(Char(x0), Char(x1)) new_primMulNat0(Zero, Succ(x0)) new_esEs22(x0, x1, ty_@0) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs6(False, True) new_esEs6(True, False) new_esEs5(Right(x0), Right(x1), x2, ty_Integer) new_esEs19(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, ty_Float) new_esEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs22(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, ty_Ordering) new_esEs10(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs17(LT, EQ) new_esEs17(EQ, LT) new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14([], [], x0) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs17(GT, GT) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Integer) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs6(False, False) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs17(EQ, GT) new_esEs17(GT, EQ) new_esEs5(Left(x0), Right(x1), x2, x3) new_esEs5(Right(x0), Left(x1), x2, x3) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs21(x0, x1, ty_Ordering) new_esEs19(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs14(:(x0, x1), [], x2) new_esEs17(EQ, EQ) new_esEs23(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs5(Left(x0), Left(x1), ty_@0, x2) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primMulNat0(Succ(x0), Zero) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs25(x0, x1, ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs5(Left(x0), Left(x1), ty_Float, x2) new_esEs10(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, Succ(x0)) new_esEs18(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs17(LT, GT) new_esEs17(GT, LT) new_esEs23(x0, x1, ty_Bool) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(Just(x0), Just(x1), ty_Int) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs23(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Float) new_esEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs20(x0, x1, ty_Bool) new_esEs19(x0, x1, ty_Double) new_esEs10(Just(x0), Just(x1), ty_Char) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs10(Just(x0), Just(x1), app(ty_[], x2)) new_sr(Pos(x0), Pos(x1)) new_asAs(True, x0) new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_primEqNat0(Zero, Succ(x0)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs20(x0, x1, ty_Integer) new_esEs12(x0, x1) new_esEs10(Just(x0), Just(x1), ty_Ordering) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Int) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_primEqNat0(Succ(x0), Zero) new_esEs10(Just(x0), Nothing, x1) new_primPlusNat0(Succ(x0), x1) new_esEs4(x0, x1, ty_Integer) new_esEs11(@0, @0) new_esEs20(x0, x1, ty_@0) new_esEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Integer) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(Right(x0), Right(x1), x2, ty_Char) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs4(x0, x1, ty_@0) new_esEs10(Just(x0), Just(x1), ty_Float) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primEqNat0(Zero, Zero) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(True, True) new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs21(x0, x1, ty_Int) new_esEs15(Integer(x0), Integer(x1)) new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_primPlusNat1(Succ(x0), Zero) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, ty_Char) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs10(Just(x0), Just(x1), ty_@0) new_esEs17(LT, LT) new_esEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs25(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Bool) new_esEs21(x0, x1, ty_Char) new_esEs10(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_esEs10(Just(x0), Just(x1), ty_Double) new_esEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Char) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs21(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Double) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, ty_@0) new_primPlusNat0(Zero, x0) new_esEs21(x0, x1, ty_@0) new_esEs16(Double(x0, x1), Double(x2, x3)) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(Right(x0), Right(x1), x2, ty_Float) new_sr(Neg(x0), Neg(x1)) new_esEs24(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Bool) new_esEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs19(x0, x1, ty_Int) new_esEs10(Just(x0), Just(x1), ty_Bool) new_esEs21(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_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(xy3, :(xy40, xy41), bb) -> new_deleteBy0(xy41, xy40, xy3, new_esEs4(xy3, xy40, bb), bb) The graph contains the following edges 2 > 1, 2 > 2, 1 >= 3, 3 >= 5 ---------------------------------------- (11) YES ---------------------------------------- (12) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy3100), Succ(xy40000)) -> new_primMulNat(xy3100, Succ(xy40000)) 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_primMulNat(Succ(xy3100), Succ(xy40000)) -> new_primMulNat(xy3100, Succ(xy40000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (14) YES ---------------------------------------- (15) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs1(Left(xy30), Left(xy400), app(app(ty_Either, gg), gh), ge) -> new_esEs1(xy30, xy400, gg, gh) new_esEs2(:(xy30, xy31), :(xy400, xy401), baf) -> new_esEs2(xy31, xy401, baf) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(app(ty_Either, bdg), bdh), bde) -> new_esEs1(xy30, xy400, bdg, bdh) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(app(ty_Either, bce), bcf)) -> new_esEs1(xy31, xy401, bce, bcf) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(app(ty_@2, cb), cc)) -> new_esEs3(xy32, xy402, cb, cc) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy32, xy402, bc, bd, be) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(app(ty_@2, ef), eg), bb, cg) -> new_esEs3(xy30, xy400, ef, eg) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(ty_Maybe, bdf), bde) -> new_esEs0(xy30, xy400, bdf) new_esEs2(:(xy30, xy31), :(xy400, xy401), app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy30, xy400, bag, bah, bba) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(ty_Maybe, bcd)) -> new_esEs0(xy31, xy401, bcd) new_esEs1(Right(xy30), Right(xy400), hd, app(app(ty_@2, bad), bae)) -> new_esEs3(xy30, xy400, bad, bae) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(ty_Maybe, eb), bb, cg) -> new_esEs0(xy30, xy400, eb) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(ty_[], ee), bb, cg) -> new_esEs2(xy30, xy400, ee) new_esEs1(Right(xy30), Right(xy400), hd, app(ty_[], bac)) -> new_esEs2(xy30, xy400, bac) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(ty_Maybe, da), cg) -> new_esEs0(xy31, xy401, da) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(ty_[], dd), cg) -> new_esEs2(xy31, xy401, dd) new_esEs2(:(xy30, xy31), :(xy400, xy401), app(app(ty_@2, bbf), bbg)) -> new_esEs3(xy30, xy400, bbf, bbg) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs(xy31, xy401, bca, bcb, bcc) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(app(ty_@2, bch), bda)) -> new_esEs3(xy31, xy401, bch, bda) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy31, xy401, cd, ce, cf) new_esEs1(Left(xy30), Left(xy400), app(app(app(ty_@3, gb), gc), gd), ge) -> new_esEs(xy30, xy400, gb, gc, gd) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(ty_Maybe, bf)) -> new_esEs0(xy32, xy402, bf) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(ty_[], ca)) -> new_esEs2(xy32, xy402, ca) new_esEs1(Right(xy30), Right(xy400), hd, app(ty_Maybe, hh)) -> new_esEs0(xy30, xy400, hh) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(app(ty_Either, db), dc), cg) -> new_esEs1(xy31, xy401, db, dc) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(app(ty_Either, bg), bh)) -> new_esEs1(xy32, xy402, bg, bh) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(app(ty_Either, ec), ed), bb, cg) -> new_esEs1(xy30, xy400, ec, ed) new_esEs2(:(xy30, xy31), :(xy400, xy401), app(app(ty_Either, bbc), bbd)) -> new_esEs1(xy30, xy400, bbc, bbd) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(ty_[], bea), bde) -> new_esEs2(xy30, xy400, bea) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(app(app(ty_@3, bdb), bdc), bdd), bde) -> new_esEs(xy30, xy400, bdb, bdc, bdd) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(app(ty_@2, beb), bec), bde) -> new_esEs3(xy30, xy400, beb, bec) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy30, xy400, dg, dh, ea) new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(ty_[], bcg)) -> new_esEs2(xy31, xy401, bcg) new_esEs2(:(xy30, xy31), :(xy400, xy401), app(ty_Maybe, bbb)) -> new_esEs0(xy30, xy400, bbb) new_esEs2(:(xy30, xy31), :(xy400, xy401), app(ty_[], bbe)) -> new_esEs2(xy30, xy400, bbe) new_esEs0(Just(xy30), Just(xy400), app(app(ty_Either, fd), ff)) -> new_esEs1(xy30, xy400, fd, ff) new_esEs0(Just(xy30), Just(xy400), app(ty_[], fg)) -> new_esEs2(xy30, xy400, fg) new_esEs1(Right(xy30), Right(xy400), hd, app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy30, xy400, he, hf, hg) new_esEs0(Just(xy30), Just(xy400), app(app(ty_@2, fh), ga)) -> new_esEs3(xy30, xy400, fh, ga) new_esEs0(Just(xy30), Just(xy400), app(ty_Maybe, fc)) -> new_esEs0(xy30, xy400, fc) new_esEs1(Left(xy30), Left(xy400), app(ty_Maybe, gf), ge) -> new_esEs0(xy30, xy400, gf) new_esEs1(Left(xy30), Left(xy400), app(ty_[], ha), ge) -> new_esEs2(xy30, xy400, ha) new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(app(ty_@2, de), df), cg) -> new_esEs3(xy31, xy401, de, df) new_esEs1(Right(xy30), Right(xy400), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xy30, xy400, baa, bab) new_esEs0(Just(xy30), Just(xy400), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy30, xy400, eh, fa, fb) new_esEs1(Left(xy30), Left(xy400), app(app(ty_@2, hb), hc), ge) -> new_esEs3(xy30, xy400, hb, hc) R is empty. Q is empty. 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_esEs2(:(xy30, xy31), :(xy400, xy401), app(app(ty_Either, bbc), bbd)) -> new_esEs1(xy30, xy400, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy30, xy31), :(xy400, xy401), app(app(ty_@2, bbf), bbg)) -> new_esEs3(xy30, xy400, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy30, xy31), :(xy400, xy401), app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy30, xy400, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(:(xy30, xy31), :(xy400, xy401), app(ty_Maybe, bbb)) -> new_esEs0(xy30, xy400, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xy30), Just(xy400), app(app(ty_Either, fd), ff)) -> new_esEs1(xy30, xy400, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xy30), Just(xy400), app(ty_[], fg)) -> new_esEs2(xy30, xy400, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xy30), Just(xy400), app(app(ty_@2, fh), ga)) -> new_esEs3(xy30, xy400, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xy30), Just(xy400), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy30, xy400, eh, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(xy30), Just(xy400), app(ty_Maybe, fc)) -> new_esEs0(xy30, xy400, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xy30), Left(xy400), app(app(ty_Either, gg), gh), ge) -> new_esEs1(xy30, xy400, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xy30), Right(xy400), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xy30, xy400, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Right(xy30), Right(xy400), hd, app(ty_[], bac)) -> new_esEs2(xy30, xy400, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy30), Left(xy400), app(ty_[], ha), ge) -> new_esEs2(xy30, xy400, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xy30), Right(xy400), hd, app(app(ty_@2, bad), bae)) -> new_esEs3(xy30, xy400, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xy30), Left(xy400), app(app(ty_@2, hb), hc), ge) -> new_esEs3(xy30, xy400, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Left(xy30), Left(xy400), app(app(app(ty_@3, gb), gc), gd), ge) -> new_esEs(xy30, xy400, gb, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xy30), Right(xy400), hd, app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy30, xy400, he, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Right(xy30), Right(xy400), hd, app(ty_Maybe, hh)) -> new_esEs0(xy30, xy400, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy30), Left(xy400), app(ty_Maybe, gf), ge) -> new_esEs0(xy30, xy400, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(app(ty_Either, bdg), bdh), bde) -> new_esEs1(xy30, xy400, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(app(ty_Either, bce), bcf)) -> new_esEs1(xy31, xy401, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(app(ty_Either, db), dc), cg) -> new_esEs1(xy31, xy401, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(app(ty_Either, bg), bh)) -> new_esEs1(xy32, xy402, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(app(ty_Either, ec), ed), bb, cg) -> new_esEs1(xy30, xy400, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy30, xy31), :(xy400, xy401), baf) -> new_esEs2(xy31, xy401, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(:(xy30, xy31), :(xy400, xy401), app(ty_[], bbe)) -> new_esEs2(xy30, xy400, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(ty_[], bea), bde) -> new_esEs2(xy30, xy400, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(ty_[], bcg)) -> new_esEs2(xy31, xy401, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(ty_[], ee), bb, cg) -> new_esEs2(xy30, xy400, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(ty_[], dd), cg) -> new_esEs2(xy31, xy401, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(ty_[], ca)) -> new_esEs2(xy32, xy402, ca) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(app(ty_@2, bch), bda)) -> new_esEs3(xy31, xy401, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(app(ty_@2, beb), bec), bde) -> new_esEs3(xy30, xy400, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(app(ty_@2, cb), cc)) -> new_esEs3(xy32, xy402, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(app(ty_@2, ef), eg), bb, cg) -> new_esEs3(xy30, xy400, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(app(ty_@2, de), df), cg) -> new_esEs3(xy31, xy401, de, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs(xy31, xy401, bca, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(app(app(ty_@3, bdb), bdc), bdd), bde) -> new_esEs(xy30, xy400, bdb, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), app(ty_Maybe, bdf), bde) -> new_esEs0(xy30, xy400, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy30, xy31), @2(xy400, xy401), bbh, app(ty_Maybe, bcd)) -> new_esEs0(xy31, xy401, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy32, xy402, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy31, xy401, cd, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy30, xy400, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), app(ty_Maybe, eb), bb, cg) -> new_esEs0(xy30, xy400, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, app(ty_Maybe, da), cg) -> new_esEs0(xy31, xy401, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy30, xy31, xy32), @3(xy400, xy401, xy402), ba, bb, app(ty_Maybe, bf)) -> new_esEs0(xy32, xy402, bf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 ---------------------------------------- (17) YES ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy2700), Succ(xy400000)) -> new_primPlusNat(xy2700, xy400000) 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_primPlusNat(Succ(xy2700), Succ(xy400000)) -> new_primPlusNat(xy2700, xy400000) 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_primEqNat(Succ(xy300), Succ(xy4000)) -> new_primEqNat(xy300, xy4000) 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_primEqNat(Succ(xy300), Succ(xy4000)) -> new_primEqNat(xy300, xy4000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (23) YES