/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) IFR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4) HASKELL (5) COR [EQUIVALENT, 10 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) AND (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 6 ms] (11) YES (12) QDP (13) DependencyGraphProof [EQUIVALENT, 0 ms] (14) AND (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] (26) YES (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) 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"];750[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 6[label="",style="solid", color="burlywood", weight=3]; 751[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 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[label="List.deleteBy0 xy41 xy40 (==) xy3 ((==) xy3 xy40)",fontsize=16,color="burlywood",shape="box"];752[label="xy3/Left xy30",fontsize=10,color="white",style="solid",shape="box"];8 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 10[label="",style="solid", color="burlywood", weight=3]; 753[label="xy3/Right xy30",fontsize=10,color="white",style="solid",shape="box"];8 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 11[label="",style="solid", color="burlywood", weight=3]; 9[label="[]",fontsize=16,color="green",shape="box"];10[label="List.deleteBy0 xy41 xy40 (==) (Left xy30) ((==) Left xy30 xy40)",fontsize=16,color="burlywood",shape="box"];754[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];10 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 12[label="",style="solid", color="burlywood", weight=3]; 755[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];10 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 13[label="",style="solid", color="burlywood", weight=3]; 11[label="List.deleteBy0 xy41 xy40 (==) (Right xy30) ((==) Right xy30 xy40)",fontsize=16,color="burlywood",shape="box"];756[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];11 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 14[label="",style="solid", color="burlywood", weight=3]; 757[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];11 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 15[label="",style="solid", color="burlywood", weight=3]; 12[label="List.deleteBy0 xy41 (Left xy400) (==) (Left xy30) ((==) Left xy30 Left xy400)",fontsize=16,color="black",shape="box"];12 -> 16[label="",style="solid", color="black", weight=3]; 13[label="List.deleteBy0 xy41 (Right xy400) (==) (Left xy30) ((==) Left xy30 Right xy400)",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3]; 14[label="List.deleteBy0 xy41 (Left xy400) (==) (Right xy30) ((==) Right xy30 Left xy400)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 15[label="List.deleteBy0 xy41 (Right xy400) (==) (Right xy30) ((==) Right xy30 Right xy400)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 16 -> 20[label="",style="dashed", color="red", weight=0]; 16[label="List.deleteBy0 xy41 (Left xy400) (==) (Left xy30) (xy30 == xy400)",fontsize=16,color="magenta"];16 -> 21[label="",style="dashed", color="magenta", weight=3]; 16 -> 22[label="",style="dashed", color="magenta", weight=3]; 16 -> 23[label="",style="dashed", color="magenta", weight=3]; 16 -> 24[label="",style="dashed", color="magenta", weight=3]; 17[label="List.deleteBy0 xy41 (Right xy400) (==) (Left xy30) False",fontsize=16,color="black",shape="box"];17 -> 25[label="",style="solid", color="black", weight=3]; 18[label="List.deleteBy0 xy41 (Left xy400) (==) (Right xy30) False",fontsize=16,color="black",shape="box"];18 -> 26[label="",style="solid", color="black", weight=3]; 19 -> 27[label="",style="dashed", color="red", weight=0]; 19[label="List.deleteBy0 xy41 (Right xy400) (==) (Right xy30) (xy30 == xy400)",fontsize=16,color="magenta"];19 -> 28[label="",style="dashed", color="magenta", weight=3]; 19 -> 29[label="",style="dashed", color="magenta", weight=3]; 19 -> 30[label="",style="dashed", color="magenta", weight=3]; 19 -> 31[label="",style="dashed", color="magenta", weight=3]; 21[label="xy41",fontsize=16,color="green",shape="box"];22[label="xy30",fontsize=16,color="green",shape="box"];23[label="xy400",fontsize=16,color="green",shape="box"];24[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];758[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 32[label="",style="solid", color="blue", weight=3]; 759[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 33[label="",style="solid", color="blue", weight=3]; 760[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 34[label="",style="solid", color="blue", weight=3]; 761[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 35[label="",style="solid", color="blue", weight=3]; 762[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 36[label="",style="solid", color="blue", weight=3]; 763[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 37[label="",style="solid", color="blue", weight=3]; 764[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 38[label="",style="solid", color="blue", weight=3]; 765[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 39[label="",style="solid", color="blue", weight=3]; 766[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 40[label="",style="solid", color="blue", weight=3]; 767[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 41[label="",style="solid", color="blue", weight=3]; 768[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 42[label="",style="solid", color="blue", weight=3]; 769[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 43[label="",style="solid", color="blue", weight=3]; 770[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 44[label="",style="solid", color="blue", weight=3]; 771[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];24 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 45[label="",style="solid", color="blue", weight=3]; 20[label="List.deleteBy0 xy10 (Left xy11) (==) (Left xy12) xy13",fontsize=16,color="burlywood",shape="triangle"];772[label="xy13/False",fontsize=10,color="white",style="solid",shape="box"];20 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 46[label="",style="solid", color="burlywood", weight=3]; 773[label="xy13/True",fontsize=10,color="white",style="solid",shape="box"];20 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 47[label="",style="solid", color="burlywood", weight=3]; 25[label="Right xy400 : List.deleteBy (==) (Left xy30) xy41",fontsize=16,color="green",shape="box"];25 -> 48[label="",style="dashed", color="green", weight=3]; 26[label="Left xy400 : List.deleteBy (==) (Right xy30) xy41",fontsize=16,color="green",shape="box"];26 -> 49[label="",style="dashed", color="green", weight=3]; 28[label="xy30",fontsize=16,color="green",shape="box"];29[label="xy41",fontsize=16,color="green",shape="box"];30[label="xy400",fontsize=16,color="green",shape="box"];31[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];774[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 50[label="",style="solid", color="blue", weight=3]; 775[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 51[label="",style="solid", color="blue", weight=3]; 776[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 52[label="",style="solid", color="blue", weight=3]; 777[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 53[label="",style="solid", color="blue", weight=3]; 778[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 54[label="",style="solid", color="blue", weight=3]; 779[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 55[label="",style="solid", color="blue", weight=3]; 780[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 56[label="",style="solid", color="blue", weight=3]; 781[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 57[label="",style="solid", color="blue", weight=3]; 782[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 58[label="",style="solid", color="blue", weight=3]; 783[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 59[label="",style="solid", color="blue", weight=3]; 784[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 60[label="",style="solid", color="blue", weight=3]; 785[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 61[label="",style="solid", color="blue", weight=3]; 786[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 62[label="",style="solid", color="blue", weight=3]; 787[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];31 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 63[label="",style="solid", color="blue", weight=3]; 27[label="List.deleteBy0 xy19 (Right xy20) (==) (Right xy21) xy22",fontsize=16,color="burlywood",shape="triangle"];788[label="xy22/False",fontsize=10,color="white",style="solid",shape="box"];27 -> 788[label="",style="solid", color="burlywood", weight=9]; 788 -> 64[label="",style="solid", color="burlywood", weight=3]; 789[label="xy22/True",fontsize=10,color="white",style="solid",shape="box"];27 -> 789[label="",style="solid", color="burlywood", weight=9]; 789 -> 65[label="",style="solid", color="burlywood", weight=3]; 32[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];32 -> 66[label="",style="solid", color="black", weight=3]; 33[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];790[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];33 -> 790[label="",style="solid", color="burlywood", weight=9]; 790 -> 67[label="",style="solid", color="burlywood", weight=3]; 791[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];33 -> 791[label="",style="solid", color="burlywood", weight=9]; 791 -> 68[label="",style="solid", color="burlywood", weight=3]; 792[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];33 -> 792[label="",style="solid", color="burlywood", weight=9]; 792 -> 69[label="",style="solid", color="burlywood", weight=3]; 34[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];34 -> 70[label="",style="solid", color="black", weight=3]; 35[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];793[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];35 -> 793[label="",style="solid", color="burlywood", weight=9]; 793 -> 71[label="",style="solid", color="burlywood", weight=3]; 794[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];35 -> 794[label="",style="solid", color="burlywood", weight=9]; 794 -> 72[label="",style="solid", color="burlywood", weight=3]; 36[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];36 -> 73[label="",style="solid", color="black", weight=3]; 37[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];795[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];37 -> 795[label="",style="solid", color="burlywood", weight=9]; 795 -> 74[label="",style="solid", color="burlywood", weight=3]; 38[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];796[label="xy30/(xy300,xy301,xy302)",fontsize=10,color="white",style="solid",shape="box"];38 -> 796[label="",style="solid", color="burlywood", weight=9]; 796 -> 75[label="",style="solid", color="burlywood", weight=3]; 39[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];797[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];39 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 76[label="",style="solid", color="burlywood", weight=3]; 798[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];39 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 77[label="",style="solid", color="burlywood", weight=3]; 40[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];799[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];40 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 78[label="",style="solid", color="burlywood", weight=3]; 800[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];40 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 79[label="",style="solid", color="burlywood", weight=3]; 41[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];801[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];41 -> 801[label="",style="solid", color="burlywood", weight=9]; 801 -> 80[label="",style="solid", color="burlywood", weight=3]; 42[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];802[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];42 -> 802[label="",style="solid", color="burlywood", weight=9]; 802 -> 81[label="",style="solid", color="burlywood", weight=3]; 43[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];803[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];43 -> 803[label="",style="solid", color="burlywood", weight=9]; 803 -> 82[label="",style="solid", color="burlywood", weight=3]; 44[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];804[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 804[label="",style="solid", color="burlywood", weight=9]; 804 -> 83[label="",style="solid", color="burlywood", weight=3]; 805[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];44 -> 805[label="",style="solid", color="burlywood", weight=9]; 805 -> 84[label="",style="solid", color="burlywood", weight=3]; 45[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];45 -> 85[label="",style="solid", color="black", weight=3]; 46[label="List.deleteBy0 xy10 (Left xy11) (==) (Left xy12) False",fontsize=16,color="black",shape="box"];46 -> 86[label="",style="solid", color="black", weight=3]; 47[label="List.deleteBy0 xy10 (Left xy11) (==) (Left xy12) True",fontsize=16,color="black",shape="box"];47 -> 87[label="",style="solid", color="black", weight=3]; 48 -> 5[label="",style="dashed", color="red", weight=0]; 48[label="List.deleteBy (==) (Left xy30) xy41",fontsize=16,color="magenta"];48 -> 88[label="",style="dashed", color="magenta", weight=3]; 48 -> 89[label="",style="dashed", color="magenta", weight=3]; 49 -> 5[label="",style="dashed", color="red", weight=0]; 49[label="List.deleteBy (==) (Right xy30) xy41",fontsize=16,color="magenta"];49 -> 90[label="",style="dashed", color="magenta", weight=3]; 49 -> 91[label="",style="dashed", color="magenta", weight=3]; 50 -> 32[label="",style="dashed", color="red", weight=0]; 50[label="xy30 == xy400",fontsize=16,color="magenta"];50 -> 92[label="",style="dashed", color="magenta", weight=3]; 50 -> 93[label="",style="dashed", color="magenta", weight=3]; 51 -> 33[label="",style="dashed", color="red", weight=0]; 51[label="xy30 == xy400",fontsize=16,color="magenta"];51 -> 94[label="",style="dashed", color="magenta", weight=3]; 51 -> 95[label="",style="dashed", color="magenta", weight=3]; 52 -> 34[label="",style="dashed", color="red", weight=0]; 52[label="xy30 == xy400",fontsize=16,color="magenta"];52 -> 96[label="",style="dashed", color="magenta", weight=3]; 52 -> 97[label="",style="dashed", color="magenta", weight=3]; 53 -> 35[label="",style="dashed", color="red", weight=0]; 53[label="xy30 == xy400",fontsize=16,color="magenta"];53 -> 98[label="",style="dashed", color="magenta", weight=3]; 53 -> 99[label="",style="dashed", color="magenta", weight=3]; 54 -> 36[label="",style="dashed", color="red", weight=0]; 54[label="xy30 == xy400",fontsize=16,color="magenta"];54 -> 100[label="",style="dashed", color="magenta", weight=3]; 54 -> 101[label="",style="dashed", color="magenta", weight=3]; 55 -> 37[label="",style="dashed", color="red", weight=0]; 55[label="xy30 == xy400",fontsize=16,color="magenta"];55 -> 102[label="",style="dashed", color="magenta", weight=3]; 55 -> 103[label="",style="dashed", color="magenta", weight=3]; 56 -> 38[label="",style="dashed", color="red", weight=0]; 56[label="xy30 == xy400",fontsize=16,color="magenta"];56 -> 104[label="",style="dashed", color="magenta", weight=3]; 56 -> 105[label="",style="dashed", color="magenta", weight=3]; 57 -> 39[label="",style="dashed", color="red", weight=0]; 57[label="xy30 == xy400",fontsize=16,color="magenta"];57 -> 106[label="",style="dashed", color="magenta", weight=3]; 57 -> 107[label="",style="dashed", color="magenta", weight=3]; 58 -> 40[label="",style="dashed", color="red", weight=0]; 58[label="xy30 == xy400",fontsize=16,color="magenta"];58 -> 108[label="",style="dashed", color="magenta", weight=3]; 58 -> 109[label="",style="dashed", color="magenta", weight=3]; 59 -> 41[label="",style="dashed", color="red", weight=0]; 59[label="xy30 == xy400",fontsize=16,color="magenta"];59 -> 110[label="",style="dashed", color="magenta", weight=3]; 59 -> 111[label="",style="dashed", color="magenta", weight=3]; 60 -> 42[label="",style="dashed", color="red", weight=0]; 60[label="xy30 == xy400",fontsize=16,color="magenta"];60 -> 112[label="",style="dashed", color="magenta", weight=3]; 60 -> 113[label="",style="dashed", color="magenta", weight=3]; 61 -> 43[label="",style="dashed", color="red", weight=0]; 61[label="xy30 == xy400",fontsize=16,color="magenta"];61 -> 114[label="",style="dashed", color="magenta", weight=3]; 61 -> 115[label="",style="dashed", color="magenta", weight=3]; 62 -> 44[label="",style="dashed", color="red", weight=0]; 62[label="xy30 == xy400",fontsize=16,color="magenta"];62 -> 116[label="",style="dashed", color="magenta", weight=3]; 62 -> 117[label="",style="dashed", color="magenta", weight=3]; 63 -> 45[label="",style="dashed", color="red", weight=0]; 63[label="xy30 == xy400",fontsize=16,color="magenta"];63 -> 118[label="",style="dashed", color="magenta", weight=3]; 63 -> 119[label="",style="dashed", color="magenta", weight=3]; 64[label="List.deleteBy0 xy19 (Right xy20) (==) (Right xy21) False",fontsize=16,color="black",shape="box"];64 -> 120[label="",style="solid", color="black", weight=3]; 65[label="List.deleteBy0 xy19 (Right xy20) (==) (Right xy21) True",fontsize=16,color="black",shape="box"];65 -> 121[label="",style="solid", color="black", weight=3]; 66[label="primEqChar xy30 xy400",fontsize=16,color="burlywood",shape="box"];806[label="xy30/Char xy300",fontsize=10,color="white",style="solid",shape="box"];66 -> 806[label="",style="solid", color="burlywood", weight=9]; 806 -> 122[label="",style="solid", color="burlywood", weight=3]; 67[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];807[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];67 -> 807[label="",style="solid", color="burlywood", weight=9]; 807 -> 123[label="",style="solid", color="burlywood", weight=3]; 808[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];67 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 124[label="",style="solid", color="burlywood", weight=3]; 809[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];67 -> 809[label="",style="solid", color="burlywood", weight=9]; 809 -> 125[label="",style="solid", color="burlywood", weight=3]; 68[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];810[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];68 -> 810[label="",style="solid", color="burlywood", weight=9]; 810 -> 126[label="",style="solid", color="burlywood", weight=3]; 811[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];68 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 127[label="",style="solid", color="burlywood", weight=3]; 812[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];68 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 128[label="",style="solid", color="burlywood", weight=3]; 69[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];813[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];69 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 129[label="",style="solid", color="burlywood", weight=3]; 814[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];69 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 130[label="",style="solid", color="burlywood", weight=3]; 815[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];69 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 131[label="",style="solid", color="burlywood", weight=3]; 70[label="primEqFloat xy30 xy400",fontsize=16,color="burlywood",shape="box"];816[label="xy30/Float xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];70 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 132[label="",style="solid", color="burlywood", weight=3]; 71[label="False == xy400",fontsize=16,color="burlywood",shape="box"];817[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];71 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 133[label="",style="solid", color="burlywood", weight=3]; 818[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];71 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 134[label="",style="solid", color="burlywood", weight=3]; 72[label="True == xy400",fontsize=16,color="burlywood",shape="box"];819[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];72 -> 819[label="",style="solid", color="burlywood", weight=9]; 819 -> 135[label="",style="solid", color="burlywood", weight=3]; 820[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];72 -> 820[label="",style="solid", color="burlywood", weight=9]; 820 -> 136[label="",style="solid", color="burlywood", weight=3]; 73[label="primEqDouble xy30 xy400",fontsize=16,color="burlywood",shape="box"];821[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];73 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 137[label="",style="solid", color="burlywood", weight=3]; 74[label="xy300 :% xy301 == xy400",fontsize=16,color="burlywood",shape="box"];822[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];74 -> 822[label="",style="solid", color="burlywood", weight=9]; 822 -> 138[label="",style="solid", color="burlywood", weight=3]; 75[label="(xy300,xy301,xy302) == xy400",fontsize=16,color="burlywood",shape="box"];823[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];75 -> 823[label="",style="solid", color="burlywood", weight=9]; 823 -> 139[label="",style="solid", color="burlywood", weight=3]; 76[label="xy300 : xy301 == xy400",fontsize=16,color="burlywood",shape="box"];824[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];76 -> 824[label="",style="solid", color="burlywood", weight=9]; 824 -> 140[label="",style="solid", color="burlywood", weight=3]; 825[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];76 -> 825[label="",style="solid", color="burlywood", weight=9]; 825 -> 141[label="",style="solid", color="burlywood", weight=3]; 77[label="[] == xy400",fontsize=16,color="burlywood",shape="box"];826[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];77 -> 826[label="",style="solid", color="burlywood", weight=9]; 826 -> 142[label="",style="solid", color="burlywood", weight=3]; 827[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];77 -> 827[label="",style="solid", color="burlywood", weight=9]; 827 -> 143[label="",style="solid", color="burlywood", weight=3]; 78[label="Left xy300 == xy400",fontsize=16,color="burlywood",shape="box"];828[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];78 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 144[label="",style="solid", color="burlywood", weight=3]; 829[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];78 -> 829[label="",style="solid", color="burlywood", weight=9]; 829 -> 145[label="",style="solid", color="burlywood", weight=3]; 79[label="Right xy300 == xy400",fontsize=16,color="burlywood",shape="box"];830[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];79 -> 830[label="",style="solid", color="burlywood", weight=9]; 830 -> 146[label="",style="solid", color="burlywood", weight=3]; 831[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];79 -> 831[label="",style="solid", color="burlywood", weight=9]; 831 -> 147[label="",style="solid", color="burlywood", weight=3]; 80[label="() == xy400",fontsize=16,color="burlywood",shape="box"];832[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];80 -> 832[label="",style="solid", color="burlywood", weight=9]; 832 -> 148[label="",style="solid", color="burlywood", weight=3]; 81[label="Integer xy300 == xy400",fontsize=16,color="burlywood",shape="box"];833[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];81 -> 833[label="",style="solid", color="burlywood", weight=9]; 833 -> 149[label="",style="solid", color="burlywood", weight=3]; 82[label="(xy300,xy301) == xy400",fontsize=16,color="burlywood",shape="box"];834[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];82 -> 834[label="",style="solid", color="burlywood", weight=9]; 834 -> 150[label="",style="solid", color="burlywood", weight=3]; 83[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];835[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];83 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 151[label="",style="solid", color="burlywood", weight=3]; 836[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];83 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 152[label="",style="solid", color="burlywood", weight=3]; 84[label="Just xy300 == xy400",fontsize=16,color="burlywood",shape="box"];837[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];84 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 153[label="",style="solid", color="burlywood", weight=3]; 838[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];84 -> 838[label="",style="solid", color="burlywood", weight=9]; 838 -> 154[label="",style="solid", color="burlywood", weight=3]; 85[label="primEqInt xy30 xy400",fontsize=16,color="burlywood",shape="triangle"];839[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];85 -> 839[label="",style="solid", color="burlywood", weight=9]; 839 -> 155[label="",style="solid", color="burlywood", weight=3]; 840[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];85 -> 840[label="",style="solid", color="burlywood", weight=9]; 840 -> 156[label="",style="solid", color="burlywood", weight=3]; 86[label="Left xy11 : List.deleteBy (==) (Left xy12) xy10",fontsize=16,color="green",shape="box"];86 -> 157[label="",style="dashed", color="green", weight=3]; 87[label="xy10",fontsize=16,color="green",shape="box"];88[label="xy41",fontsize=16,color="green",shape="box"];89[label="Left xy30",fontsize=16,color="green",shape="box"];90[label="xy41",fontsize=16,color="green",shape="box"];91[label="Right xy30",fontsize=16,color="green",shape="box"];92[label="xy30",fontsize=16,color="green",shape="box"];93[label="xy400",fontsize=16,color="green",shape="box"];94[label="xy30",fontsize=16,color="green",shape="box"];95[label="xy400",fontsize=16,color="green",shape="box"];96[label="xy30",fontsize=16,color="green",shape="box"];97[label="xy400",fontsize=16,color="green",shape="box"];98[label="xy30",fontsize=16,color="green",shape="box"];99[label="xy400",fontsize=16,color="green",shape="box"];100[label="xy30",fontsize=16,color="green",shape="box"];101[label="xy400",fontsize=16,color="green",shape="box"];102[label="xy30",fontsize=16,color="green",shape="box"];103[label="xy400",fontsize=16,color="green",shape="box"];104[label="xy30",fontsize=16,color="green",shape="box"];105[label="xy400",fontsize=16,color="green",shape="box"];106[label="xy30",fontsize=16,color="green",shape="box"];107[label="xy400",fontsize=16,color="green",shape="box"];108[label="xy30",fontsize=16,color="green",shape="box"];109[label="xy400",fontsize=16,color="green",shape="box"];110[label="xy30",fontsize=16,color="green",shape="box"];111[label="xy400",fontsize=16,color="green",shape="box"];112[label="xy30",fontsize=16,color="green",shape="box"];113[label="xy400",fontsize=16,color="green",shape="box"];114[label="xy30",fontsize=16,color="green",shape="box"];115[label="xy400",fontsize=16,color="green",shape="box"];116[label="xy30",fontsize=16,color="green",shape="box"];117[label="xy400",fontsize=16,color="green",shape="box"];118[label="xy30",fontsize=16,color="green",shape="box"];119[label="xy400",fontsize=16,color="green",shape="box"];120[label="Right xy20 : List.deleteBy (==) (Right xy21) xy19",fontsize=16,color="green",shape="box"];120 -> 158[label="",style="dashed", color="green", weight=3]; 121[label="xy19",fontsize=16,color="green",shape="box"];122[label="primEqChar (Char xy300) xy400",fontsize=16,color="burlywood",shape="box"];841[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];122 -> 841[label="",style="solid", color="burlywood", weight=9]; 841 -> 159[label="",style="solid", color="burlywood", weight=3]; 123[label="LT == LT",fontsize=16,color="black",shape="box"];123 -> 160[label="",style="solid", color="black", weight=3]; 124[label="LT == EQ",fontsize=16,color="black",shape="box"];124 -> 161[label="",style="solid", color="black", weight=3]; 125[label="LT == GT",fontsize=16,color="black",shape="box"];125 -> 162[label="",style="solid", color="black", weight=3]; 126[label="EQ == LT",fontsize=16,color="black",shape="box"];126 -> 163[label="",style="solid", color="black", weight=3]; 127[label="EQ == EQ",fontsize=16,color="black",shape="box"];127 -> 164[label="",style="solid", color="black", weight=3]; 128[label="EQ == GT",fontsize=16,color="black",shape="box"];128 -> 165[label="",style="solid", color="black", weight=3]; 129[label="GT == LT",fontsize=16,color="black",shape="box"];129 -> 166[label="",style="solid", color="black", weight=3]; 130[label="GT == EQ",fontsize=16,color="black",shape="box"];130 -> 167[label="",style="solid", color="black", weight=3]; 131[label="GT == GT",fontsize=16,color="black",shape="box"];131 -> 168[label="",style="solid", color="black", weight=3]; 132[label="primEqFloat (Float xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];842[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];132 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 169[label="",style="solid", color="burlywood", weight=3]; 133[label="False == False",fontsize=16,color="black",shape="box"];133 -> 170[label="",style="solid", color="black", weight=3]; 134[label="False == True",fontsize=16,color="black",shape="box"];134 -> 171[label="",style="solid", color="black", weight=3]; 135[label="True == False",fontsize=16,color="black",shape="box"];135 -> 172[label="",style="solid", color="black", weight=3]; 136[label="True == True",fontsize=16,color="black",shape="box"];136 -> 173[label="",style="solid", color="black", weight=3]; 137[label="primEqDouble (Double xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];843[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];137 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 174[label="",style="solid", color="burlywood", weight=3]; 138[label="xy300 :% xy301 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];138 -> 175[label="",style="solid", color="black", weight=3]; 139[label="(xy300,xy301,xy302) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];139 -> 176[label="",style="solid", color="black", weight=3]; 140[label="xy300 : xy301 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];140 -> 177[label="",style="solid", color="black", weight=3]; 141[label="xy300 : xy301 == []",fontsize=16,color="black",shape="box"];141 -> 178[label="",style="solid", color="black", weight=3]; 142[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];142 -> 179[label="",style="solid", color="black", weight=3]; 143[label="[] == []",fontsize=16,color="black",shape="box"];143 -> 180[label="",style="solid", color="black", weight=3]; 144[label="Left xy300 == Left xy4000",fontsize=16,color="black",shape="box"];144 -> 181[label="",style="solid", color="black", weight=3]; 145[label="Left xy300 == Right xy4000",fontsize=16,color="black",shape="box"];145 -> 182[label="",style="solid", color="black", weight=3]; 146[label="Right xy300 == Left xy4000",fontsize=16,color="black",shape="box"];146 -> 183[label="",style="solid", color="black", weight=3]; 147[label="Right xy300 == Right xy4000",fontsize=16,color="black",shape="box"];147 -> 184[label="",style="solid", color="black", weight=3]; 148[label="() == ()",fontsize=16,color="black",shape="box"];148 -> 185[label="",style="solid", color="black", weight=3]; 149[label="Integer xy300 == Integer xy4000",fontsize=16,color="black",shape="box"];149 -> 186[label="",style="solid", color="black", weight=3]; 150[label="(xy300,xy301) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];150 -> 187[label="",style="solid", color="black", weight=3]; 151[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];151 -> 188[label="",style="solid", color="black", weight=3]; 152[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];152 -> 189[label="",style="solid", color="black", weight=3]; 153[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];153 -> 190[label="",style="solid", color="black", weight=3]; 154[label="Just xy300 == Just xy4000",fontsize=16,color="black",shape="box"];154 -> 191[label="",style="solid", color="black", weight=3]; 155[label="primEqInt (Pos xy300) xy400",fontsize=16,color="burlywood",shape="box"];844[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];155 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 192[label="",style="solid", color="burlywood", weight=3]; 845[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];155 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 193[label="",style="solid", color="burlywood", weight=3]; 156[label="primEqInt (Neg xy300) xy400",fontsize=16,color="burlywood",shape="box"];846[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];156 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 194[label="",style="solid", color="burlywood", weight=3]; 847[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];156 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 195[label="",style="solid", color="burlywood", weight=3]; 157 -> 5[label="",style="dashed", color="red", weight=0]; 157[label="List.deleteBy (==) (Left xy12) xy10",fontsize=16,color="magenta"];157 -> 196[label="",style="dashed", color="magenta", weight=3]; 157 -> 197[label="",style="dashed", color="magenta", weight=3]; 158 -> 5[label="",style="dashed", color="red", weight=0]; 158[label="List.deleteBy (==) (Right xy21) xy19",fontsize=16,color="magenta"];158 -> 198[label="",style="dashed", color="magenta", weight=3]; 158 -> 199[label="",style="dashed", color="magenta", weight=3]; 159[label="primEqChar (Char xy300) (Char xy4000)",fontsize=16,color="black",shape="box"];159 -> 200[label="",style="solid", color="black", weight=3]; 160[label="True",fontsize=16,color="green",shape="box"];161[label="False",fontsize=16,color="green",shape="box"];162[label="False",fontsize=16,color="green",shape="box"];163[label="False",fontsize=16,color="green",shape="box"];164[label="True",fontsize=16,color="green",shape="box"];165[label="False",fontsize=16,color="green",shape="box"];166[label="False",fontsize=16,color="green",shape="box"];167[label="False",fontsize=16,color="green",shape="box"];168[label="True",fontsize=16,color="green",shape="box"];169[label="primEqFloat (Float xy300 xy301) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];169 -> 201[label="",style="solid", color="black", weight=3]; 170[label="True",fontsize=16,color="green",shape="box"];171[label="False",fontsize=16,color="green",shape="box"];172[label="False",fontsize=16,color="green",shape="box"];173[label="True",fontsize=16,color="green",shape="box"];174[label="primEqDouble (Double xy300 xy301) (Double xy4000 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178[label="False",fontsize=16,color="green",shape="box"];179[label="False",fontsize=16,color="green",shape="box"];180[label="True",fontsize=16,color="green",shape="box"];181[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];848[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 224[label="",style="solid", color="blue", weight=3]; 849[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 225[label="",style="solid", color="blue", weight=3]; 850[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 226[label="",style="solid", color="blue", weight=3]; 851[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 227[label="",style="solid", color="blue", weight=3]; 852[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 228[label="",style="solid", color="blue", weight=3]; 853[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 229[label="",style="solid", color="blue", weight=3]; 854[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 230[label="",style="solid", color="blue", weight=3]; 855[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 231[label="",style="solid", color="blue", weight=3]; 856[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 232[label="",style="solid", color="blue", weight=3]; 857[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 233[label="",style="solid", color="blue", weight=3]; 858[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 234[label="",style="solid", color="blue", weight=3]; 859[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 235[label="",style="solid", color="blue", weight=3]; 860[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 236[label="",style="solid", color="blue", weight=3]; 861[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 237[label="",style="solid", color="blue", weight=3]; 182[label="False",fontsize=16,color="green",shape="box"];183[label="False",fontsize=16,color="green",shape="box"];184[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];862[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 238[label="",style="solid", color="blue", weight=3]; 863[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 239[label="",style="solid", color="blue", weight=3]; 864[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 240[label="",style="solid", color="blue", weight=3]; 865[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 241[label="",style="solid", color="blue", weight=3]; 866[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 242[label="",style="solid", color="blue", weight=3]; 867[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 243[label="",style="solid", color="blue", weight=3]; 868[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 244[label="",style="solid", color="blue", weight=3]; 869[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 245[label="",style="solid", color="blue", weight=3]; 870[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 246[label="",style="solid", color="blue", weight=3]; 871[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 247[label="",style="solid", color="blue", weight=3]; 872[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 248[label="",style="solid", color="blue", weight=3]; 873[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 249[label="",style="solid", color="blue", weight=3]; 874[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 250[label="",style="solid", color="blue", weight=3]; 875[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 251[label="",style="solid", color="blue", weight=3]; 185[label="True",fontsize=16,color="green",shape="box"];186 -> 85[label="",style="dashed", color="red", weight=0]; 186[label="primEqInt xy300 xy4000",fontsize=16,color="magenta"];186 -> 252[label="",style="dashed", color="magenta", weight=3]; 186 -> 253[label="",style="dashed", color="magenta", weight=3]; 187 -> 284[label="",style="dashed", color="red", weight=0]; 187[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];187 -> 291[label="",style="dashed", color="magenta", weight=3]; 187 -> 292[label="",style="dashed", color="magenta", weight=3]; 188[label="True",fontsize=16,color="green",shape="box"];189[label="False",fontsize=16,color="green",shape="box"];190[label="False",fontsize=16,color="green",shape="box"];191[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];876[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 254[label="",style="solid", color="blue", weight=3]; 877[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 255[label="",style="solid", color="blue", weight=3]; 878[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 256[label="",style="solid", color="blue", weight=3]; 879[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 257[label="",style="solid", color="blue", weight=3]; 880[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 258[label="",style="solid", color="blue", weight=3]; 881[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 259[label="",style="solid", color="blue", weight=3]; 882[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 260[label="",style="solid", color="blue", weight=3]; 883[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 261[label="",style="solid", color="blue", weight=3]; 884[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 262[label="",style="solid", color="blue", weight=3]; 885[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 263[label="",style="solid", color="blue", weight=3]; 886[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 264[label="",style="solid", color="blue", weight=3]; 887[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 265[label="",style="solid", color="blue", weight=3]; 888[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 266[label="",style="solid", color="blue", weight=3]; 889[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 267[label="",style="solid", color="blue", weight=3]; 192[label="primEqInt (Pos (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];890[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];192 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 268[label="",style="solid", color="burlywood", weight=3]; 891[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];192 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 269[label="",style="solid", color="burlywood", weight=3]; 193[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];892[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];193 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 270[label="",style="solid", color="burlywood", weight=3]; 893[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];193 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 271[label="",style="solid", color="burlywood", weight=3]; 194[label="primEqInt (Neg (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];894[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];194 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 272[label="",style="solid", color="burlywood", weight=3]; 895[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];194 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 273[label="",style="solid", color="burlywood", weight=3]; 195[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];896[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];195 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 274[label="",style="solid", color="burlywood", weight=3]; 897[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];195 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 275[label="",style="solid", color="burlywood", weight=3]; 196[label="xy10",fontsize=16,color="green",shape="box"];197[label="Left xy12",fontsize=16,color="green",shape="box"];198[label="xy19",fontsize=16,color="green",shape="box"];199[label="Right xy21",fontsize=16,color="green",shape="box"];200[label="primEqNat xy300 xy4000",fontsize=16,color="burlywood",shape="triangle"];898[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];200 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 276[label="",style="solid", color="burlywood", weight=3]; 899[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];200 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 277[label="",style="solid", color="burlywood", weight=3]; 201 -> 45[label="",style="dashed", color="red", weight=0]; 201[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];201 -> 278[label="",style="dashed", color="magenta", weight=3]; 201 -> 279[label="",style="dashed", color="magenta", weight=3]; 202 -> 45[label="",style="dashed", color="red", weight=0]; 202[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];202 -> 280[label="",style="dashed", color="magenta", weight=3]; 202 -> 281[label="",style="dashed", color="magenta", weight=3]; 285[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];900[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 297[label="",style="solid", color="blue", weight=3]; 901[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];285 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 298[label="",style="solid", color="blue", weight=3]; 286[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];902[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 299[label="",style="solid", color="blue", weight=3]; 903[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];286 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 300[label="",style="solid", color="blue", weight=3]; 284[label="xy34 && xy35",fontsize=16,color="burlywood",shape="triangle"];904[label="xy34/False",fontsize=10,color="white",style="solid",shape="box"];284 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 301[label="",style="solid", color="burlywood", weight=3]; 905[label="xy34/True",fontsize=10,color="white",style="solid",shape="box"];284 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 302[label="",style="solid", color="burlywood", weight=3]; 287[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];906[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 303[label="",style="solid", color="blue", weight=3]; 907[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 304[label="",style="solid", color="blue", weight=3]; 908[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 305[label="",style="solid", color="blue", weight=3]; 909[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 306[label="",style="solid", color="blue", weight=3]; 910[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 307[label="",style="solid", color="blue", weight=3]; 911[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 308[label="",style="solid", color="blue", weight=3]; 912[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 309[label="",style="solid", color="blue", weight=3]; 913[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 310[label="",style="solid", color="blue", weight=3]; 914[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 311[label="",style="solid", color="blue", weight=3]; 915[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 312[label="",style="solid", color="blue", weight=3]; 916[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 313[label="",style="solid", color="blue", weight=3]; 917[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 314[label="",style="solid", color="blue", weight=3]; 918[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 315[label="",style="solid", color="blue", weight=3]; 919[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];287 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 316[label="",style="solid", color="blue", weight=3]; 288 -> 284[label="",style="dashed", color="red", weight=0]; 288[label="xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];288 -> 317[label="",style="dashed", color="magenta", weight=3]; 288 -> 318[label="",style="dashed", color="magenta", weight=3]; 289[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];920[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 319[label="",style="solid", color="blue", weight=3]; 921[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 320[label="",style="solid", color="blue", weight=3]; 922[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 321[label="",style="solid", color="blue", weight=3]; 923[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 322[label="",style="solid", color="blue", weight=3]; 924[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 323[label="",style="solid", color="blue", weight=3]; 925[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 324[label="",style="solid", color="blue", weight=3]; 926[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 325[label="",style="solid", color="blue", weight=3]; 927[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 326[label="",style="solid", color="blue", weight=3]; 928[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 327[label="",style="solid", color="blue", weight=3]; 929[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 328[label="",style="solid", color="blue", weight=3]; 930[label="== :: Integer -> Integer -> 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350[label="",style="dashed", color="magenta", weight=3]; 232 -> 40[label="",style="dashed", color="red", weight=0]; 232[label="xy300 == xy4000",fontsize=16,color="magenta"];232 -> 351[label="",style="dashed", color="magenta", weight=3]; 232 -> 352[label="",style="dashed", color="magenta", weight=3]; 233 -> 41[label="",style="dashed", color="red", weight=0]; 233[label="xy300 == xy4000",fontsize=16,color="magenta"];233 -> 353[label="",style="dashed", color="magenta", weight=3]; 233 -> 354[label="",style="dashed", color="magenta", weight=3]; 234 -> 42[label="",style="dashed", color="red", weight=0]; 234[label="xy300 == xy4000",fontsize=16,color="magenta"];234 -> 355[label="",style="dashed", color="magenta", weight=3]; 234 -> 356[label="",style="dashed", color="magenta", weight=3]; 235 -> 43[label="",style="dashed", color="red", weight=0]; 235[label="xy300 == xy4000",fontsize=16,color="magenta"];235 -> 357[label="",style="dashed", color="magenta", weight=3]; 235 -> 358[label="",style="dashed", color="magenta", weight=3]; 236 -> 44[label="",style="dashed", color="red", weight=0]; 236[label="xy300 == xy4000",fontsize=16,color="magenta"];236 -> 359[label="",style="dashed", color="magenta", weight=3]; 236 -> 360[label="",style="dashed", color="magenta", weight=3]; 237 -> 45[label="",style="dashed", color="red", weight=0]; 237[label="xy300 == xy4000",fontsize=16,color="magenta"];237 -> 361[label="",style="dashed", color="magenta", weight=3]; 237 -> 362[label="",style="dashed", color="magenta", weight=3]; 238 -> 32[label="",style="dashed", color="red", weight=0]; 238[label="xy300 == xy4000",fontsize=16,color="magenta"];238 -> 363[label="",style="dashed", color="magenta", weight=3]; 238 -> 364[label="",style="dashed", color="magenta", weight=3]; 239 -> 33[label="",style="dashed", color="red", weight=0]; 239[label="xy300 == xy4000",fontsize=16,color="magenta"];239 -> 365[label="",style="dashed", color="magenta", weight=3]; 239 -> 366[label="",style="dashed", color="magenta", weight=3]; 240 -> 34[label="",style="dashed", color="red", weight=0]; 240[label="xy300 == xy4000",fontsize=16,color="magenta"];240 -> 367[label="",style="dashed", color="magenta", weight=3]; 240 -> 368[label="",style="dashed", color="magenta", weight=3]; 241 -> 35[label="",style="dashed", color="red", weight=0]; 241[label="xy300 == xy4000",fontsize=16,color="magenta"];241 -> 369[label="",style="dashed", color="magenta", weight=3]; 241 -> 370[label="",style="dashed", color="magenta", weight=3]; 242 -> 36[label="",style="dashed", color="red", weight=0]; 242[label="xy300 == xy4000",fontsize=16,color="magenta"];242 -> 371[label="",style="dashed", color="magenta", weight=3]; 242 -> 372[label="",style="dashed", color="magenta", weight=3]; 243 -> 37[label="",style="dashed", color="red", weight=0]; 243[label="xy300 == xy4000",fontsize=16,color="magenta"];243 -> 373[label="",style="dashed", color="magenta", weight=3]; 243 -> 374[label="",style="dashed", color="magenta", weight=3]; 244 -> 38[label="",style="dashed", color="red", weight=0]; 244[label="xy300 == xy4000",fontsize=16,color="magenta"];244 -> 375[label="",style="dashed", color="magenta", weight=3]; 244 -> 376[label="",style="dashed", color="magenta", weight=3]; 245 -> 39[label="",style="dashed", color="red", weight=0]; 245[label="xy300 == xy4000",fontsize=16,color="magenta"];245 -> 377[label="",style="dashed", color="magenta", weight=3]; 245 -> 378[label="",style="dashed", color="magenta", weight=3]; 246 -> 40[label="",style="dashed", color="red", weight=0]; 246[label="xy300 == xy4000",fontsize=16,color="magenta"];246 -> 379[label="",style="dashed", color="magenta", weight=3]; 246 -> 380[label="",style="dashed", color="magenta", weight=3]; 247 -> 41[label="",style="dashed", color="red", weight=0]; 247[label="xy300 == xy4000",fontsize=16,color="magenta"];247 -> 381[label="",style="dashed", color="magenta", weight=3]; 247 -> 382[label="",style="dashed", color="magenta", weight=3]; 248 -> 42[label="",style="dashed", color="red", weight=0]; 248[label="xy300 == xy4000",fontsize=16,color="magenta"];248 -> 383[label="",style="dashed", color="magenta", weight=3]; 248 -> 384[label="",style="dashed", color="magenta", weight=3]; 249 -> 43[label="",style="dashed", color="red", weight=0]; 249[label="xy300 == xy4000",fontsize=16,color="magenta"];249 -> 385[label="",style="dashed", color="magenta", weight=3]; 249 -> 386[label="",style="dashed", color="magenta", weight=3]; 250 -> 44[label="",style="dashed", color="red", weight=0]; 250[label="xy300 == xy4000",fontsize=16,color="magenta"];250 -> 387[label="",style="dashed", color="magenta", weight=3]; 250 -> 388[label="",style="dashed", color="magenta", weight=3]; 251 -> 45[label="",style="dashed", color="red", weight=0]; 251[label="xy300 == xy4000",fontsize=16,color="magenta"];251 -> 389[label="",style="dashed", color="magenta", weight=3]; 251 -> 390[label="",style="dashed", color="magenta", weight=3]; 252[label="xy300",fontsize=16,color="green",shape="box"];253[label="xy4000",fontsize=16,color="green",shape="box"];291[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];934[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 391[label="",style="solid", color="blue", weight=3]; 935[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 392[label="",style="solid", color="blue", weight=3]; 936[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 393[label="",style="solid", color="blue", weight=3]; 937[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 394[label="",style="solid", color="blue", weight=3]; 938[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 395[label="",style="solid", color="blue", weight=3]; 939[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 396[label="",style="solid", color="blue", weight=3]; 940[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 397[label="",style="solid", color="blue", weight=3]; 941[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 398[label="",style="solid", color="blue", weight=3]; 942[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 399[label="",style="solid", color="blue", weight=3]; 943[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 400[label="",style="solid", color="blue", weight=3]; 944[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 944[label="",style="solid", color="blue", weight=9]; 944 -> 401[label="",style="solid", color="blue", weight=3]; 945[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 945[label="",style="solid", color="blue", weight=9]; 945 -> 402[label="",style="solid", color="blue", weight=3]; 946[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 403[label="",style="solid", color="blue", weight=3]; 947[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 404[label="",style="solid", color="blue", weight=3]; 292[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];948[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 405[label="",style="solid", color="blue", weight=3]; 949[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 406[label="",style="solid", color="blue", weight=3]; 950[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 407[label="",style="solid", color="blue", weight=3]; 951[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 408[label="",style="solid", color="blue", weight=3]; 952[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 952[label="",style="solid", color="blue", weight=9]; 952 -> 409[label="",style="solid", color="blue", weight=3]; 953[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 410[label="",style="solid", color="blue", weight=3]; 954[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 411[label="",style="solid", color="blue", weight=3]; 955[label="== :: ([] a) -> ([] a) -> 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-> 416[label="",style="solid", color="blue", weight=3]; 960[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 417[label="",style="solid", color="blue", weight=3]; 961[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 418[label="",style="solid", color="blue", weight=3]; 254 -> 32[label="",style="dashed", color="red", weight=0]; 254[label="xy300 == xy4000",fontsize=16,color="magenta"];254 -> 419[label="",style="dashed", color="magenta", weight=3]; 254 -> 420[label="",style="dashed", color="magenta", weight=3]; 255 -> 33[label="",style="dashed", color="red", weight=0]; 255[label="xy300 == xy4000",fontsize=16,color="magenta"];255 -> 421[label="",style="dashed", color="magenta", weight=3]; 255 -> 422[label="",style="dashed", color="magenta", weight=3]; 256 -> 34[label="",style="dashed", color="red", weight=0]; 256[label="xy300 == xy4000",fontsize=16,color="magenta"];256 -> 423[label="",style="dashed", color="magenta", weight=3]; 256 -> 424[label="",style="dashed", color="magenta", weight=3]; 257 -> 35[label="",style="dashed", color="red", weight=0]; 257[label="xy300 == xy4000",fontsize=16,color="magenta"];257 -> 425[label="",style="dashed", color="magenta", weight=3]; 257 -> 426[label="",style="dashed", color="magenta", weight=3]; 258 -> 36[label="",style="dashed", color="red", weight=0]; 258[label="xy300 == xy4000",fontsize=16,color="magenta"];258 -> 427[label="",style="dashed", color="magenta", weight=3]; 258 -> 428[label="",style="dashed", color="magenta", weight=3]; 259 -> 37[label="",style="dashed", color="red", weight=0]; 259[label="xy300 == xy4000",fontsize=16,color="magenta"];259 -> 429[label="",style="dashed", color="magenta", weight=3]; 259 -> 430[label="",style="dashed", color="magenta", weight=3]; 260 -> 38[label="",style="dashed", color="red", weight=0]; 260[label="xy300 == xy4000",fontsize=16,color="magenta"];260 -> 431[label="",style="dashed", color="magenta", weight=3]; 260 -> 432[label="",style="dashed", color="magenta", weight=3]; 261 -> 39[label="",style="dashed", color="red", weight=0]; 261[label="xy300 == xy4000",fontsize=16,color="magenta"];261 -> 433[label="",style="dashed", color="magenta", weight=3]; 261 -> 434[label="",style="dashed", color="magenta", weight=3]; 262 -> 40[label="",style="dashed", color="red", weight=0]; 262[label="xy300 == xy4000",fontsize=16,color="magenta"];262 -> 435[label="",style="dashed", color="magenta", weight=3]; 262 -> 436[label="",style="dashed", color="magenta", weight=3]; 263 -> 41[label="",style="dashed", color="red", weight=0]; 263[label="xy300 == xy4000",fontsize=16,color="magenta"];263 -> 437[label="",style="dashed", color="magenta", weight=3]; 263 -> 438[label="",style="dashed", color="magenta", weight=3]; 264 -> 42[label="",style="dashed", color="red", weight=0]; 264[label="xy300 == xy4000",fontsize=16,color="magenta"];264 -> 439[label="",style="dashed", color="magenta", weight=3]; 264 -> 440[label="",style="dashed", color="magenta", weight=3]; 265 -> 43[label="",style="dashed", color="red", weight=0]; 265[label="xy300 == xy4000",fontsize=16,color="magenta"];265 -> 441[label="",style="dashed", color="magenta", weight=3]; 265 -> 442[label="",style="dashed", color="magenta", weight=3]; 266 -> 44[label="",style="dashed", color="red", weight=0]; 266[label="xy300 == xy4000",fontsize=16,color="magenta"];266 -> 443[label="",style="dashed", color="magenta", weight=3]; 266 -> 444[label="",style="dashed", color="magenta", weight=3]; 267 -> 45[label="",style="dashed", color="red", weight=0]; 267[label="xy300 == xy4000",fontsize=16,color="magenta"];267 -> 445[label="",style="dashed", color="magenta", weight=3]; 267 -> 446[label="",style="dashed", color="magenta", weight=3]; 268[label="primEqInt (Pos (Succ 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965[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];270 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 451[label="",style="solid", color="burlywood", weight=3]; 271[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];966[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];271 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 452[label="",style="solid", color="burlywood", weight=3]; 967[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];271 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 453[label="",style="solid", color="burlywood", weight=3]; 272[label="primEqInt (Neg (Succ xy3000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];272 -> 454[label="",style="solid", color="black", weight=3]; 273[label="primEqInt (Neg (Succ xy3000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];968[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];273 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 455[label="",style="solid", color="burlywood", weight=3]; 969[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];273 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 456[label="",style="solid", color="burlywood", weight=3]; 274[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];970[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];274 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 457[label="",style="solid", color="burlywood", weight=3]; 971[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];274 -> 971[label="",style="solid", color="burlywood", weight=9]; 971 -> 458[label="",style="solid", color="burlywood", weight=3]; 275[label="primEqInt (Neg Zero) (Neg 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277[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];976[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];277 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 463[label="",style="solid", color="burlywood", weight=3]; 977[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];277 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 464[label="",style="solid", color="burlywood", weight=3]; 278[label="xy300 * xy4001",fontsize=16,color="black",shape="triangle"];278 -> 465[label="",style="solid", color="black", weight=3]; 279 -> 278[label="",style="dashed", color="red", weight=0]; 279[label="xy301 * xy4000",fontsize=16,color="magenta"];279 -> 466[label="",style="dashed", color="magenta", weight=3]; 279 -> 467[label="",style="dashed", color="magenta", weight=3]; 280 -> 278[label="",style="dashed", color="red", weight=0]; 280[label="xy300 * xy4001",fontsize=16,color="magenta"];280 -> 468[label="",style="dashed", color="magenta", weight=3]; 280 -> 469[label="",style="dashed", color="magenta", weight=3]; 281 -> 278[label="",style="dashed", color="red", weight=0]; 281[label="xy301 * xy4000",fontsize=16,color="magenta"];281 -> 470[label="",style="dashed", color="magenta", weight=3]; 281 -> 471[label="",style="dashed", color="magenta", weight=3]; 297 -> 42[label="",style="dashed", color="red", weight=0]; 297[label="xy300 == xy4000",fontsize=16,color="magenta"];297 -> 472[label="",style="dashed", color="magenta", weight=3]; 297 -> 473[label="",style="dashed", color="magenta", weight=3]; 298 -> 45[label="",style="dashed", color="red", weight=0]; 298[label="xy300 == xy4000",fontsize=16,color="magenta"];298 -> 474[label="",style="dashed", color="magenta", weight=3]; 298 -> 475[label="",style="dashed", color="magenta", weight=3]; 299 -> 42[label="",style="dashed", color="red", weight=0]; 299[label="xy301 == xy4001",fontsize=16,color="magenta"];299 -> 476[label="",style="dashed", color="magenta", weight=3]; 299 -> 477[label="",style="dashed", color="magenta", weight=3]; 300 -> 45[label="",style="dashed", color="red", weight=0]; 300[label="xy301 == xy4001",fontsize=16,color="magenta"];300 -> 478[label="",style="dashed", color="magenta", weight=3]; 300 -> 479[label="",style="dashed", color="magenta", weight=3]; 301[label="False && xy35",fontsize=16,color="black",shape="box"];301 -> 480[label="",style="solid", color="black", weight=3]; 302[label="True && xy35",fontsize=16,color="black",shape="box"];302 -> 481[label="",style="solid", color="black", weight=3]; 303 -> 32[label="",style="dashed", color="red", weight=0]; 303[label="xy300 == xy4000",fontsize=16,color="magenta"];303 -> 482[label="",style="dashed", color="magenta", weight=3]; 303 -> 483[label="",style="dashed", color="magenta", weight=3]; 304 -> 33[label="",style="dashed", color="red", weight=0]; 304[label="xy300 == xy4000",fontsize=16,color="magenta"];304 -> 484[label="",style="dashed", color="magenta", weight=3]; 304 -> 485[label="",style="dashed", color="magenta", weight=3]; 305 -> 34[label="",style="dashed", color="red", weight=0]; 305[label="xy300 == xy4000",fontsize=16,color="magenta"];305 -> 486[label="",style="dashed", color="magenta", weight=3]; 305 -> 487[label="",style="dashed", color="magenta", weight=3]; 306 -> 35[label="",style="dashed", color="red", weight=0]; 306[label="xy300 == xy4000",fontsize=16,color="magenta"];306 -> 488[label="",style="dashed", color="magenta", weight=3]; 306 -> 489[label="",style="dashed", color="magenta", weight=3]; 307 -> 36[label="",style="dashed", color="red", weight=0]; 307[label="xy300 == xy4000",fontsize=16,color="magenta"];307 -> 490[label="",style="dashed", color="magenta", weight=3]; 307 -> 491[label="",style="dashed", color="magenta", weight=3]; 308 -> 37[label="",style="dashed", color="red", weight=0]; 308[label="xy300 == xy4000",fontsize=16,color="magenta"];308 -> 492[label="",style="dashed", color="magenta", weight=3]; 308 -> 493[label="",style="dashed", color="magenta", weight=3]; 309 -> 38[label="",style="dashed", color="red", weight=0]; 309[label="xy300 == xy4000",fontsize=16,color="magenta"];309 -> 494[label="",style="dashed", color="magenta", weight=3]; 309 -> 495[label="",style="dashed", color="magenta", weight=3]; 310 -> 39[label="",style="dashed", color="red", weight=0]; 310[label="xy300 == xy4000",fontsize=16,color="magenta"];310 -> 496[label="",style="dashed", color="magenta", weight=3]; 310 -> 497[label="",style="dashed", color="magenta", weight=3]; 311 -> 40[label="",style="dashed", color="red", weight=0]; 311[label="xy300 == xy4000",fontsize=16,color="magenta"];311 -> 498[label="",style="dashed", color="magenta", weight=3]; 311 -> 499[label="",style="dashed", color="magenta", weight=3]; 312 -> 41[label="",style="dashed", color="red", weight=0]; 312[label="xy300 == xy4000",fontsize=16,color="magenta"];312 -> 500[label="",style="dashed", color="magenta", weight=3]; 312 -> 501[label="",style="dashed", color="magenta", weight=3]; 313 -> 42[label="",style="dashed", color="red", weight=0]; 313[label="xy300 == xy4000",fontsize=16,color="magenta"];313 -> 502[label="",style="dashed", color="magenta", weight=3]; 313 -> 503[label="",style="dashed", color="magenta", weight=3]; 314 -> 43[label="",style="dashed", color="red", weight=0]; 314[label="xy300 == xy4000",fontsize=16,color="magenta"];314 -> 504[label="",style="dashed", color="magenta", weight=3]; 314 -> 505[label="",style="dashed", color="magenta", weight=3]; 315 -> 44[label="",style="dashed", color="red", weight=0]; 315[label="xy300 == xy4000",fontsize=16,color="magenta"];315 -> 506[label="",style="dashed", color="magenta", weight=3]; 315 -> 507[label="",style="dashed", color="magenta", weight=3]; 316 -> 45[label="",style="dashed", color="red", weight=0]; 316[label="xy300 == xy4000",fontsize=16,color="magenta"];316 -> 508[label="",style="dashed", color="magenta", weight=3]; 316 -> 509[label="",style="dashed", color="magenta", weight=3]; 317[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];978[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 978[label="",style="solid", color="blue", weight=9]; 978 -> 510[label="",style="solid", color="blue", weight=3]; 979[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 979[label="",style="solid", color="blue", weight=9]; 979 -> 511[label="",style="solid", color="blue", weight=3]; 980[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 980[label="",style="solid", color="blue", weight=9]; 980 -> 512[label="",style="solid", color="blue", weight=3]; 981[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 981[label="",style="solid", color="blue", weight=9]; 981 -> 513[label="",style="solid", color="blue", weight=3]; 982[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 982[label="",style="solid", color="blue", weight=9]; 982 -> 514[label="",style="solid", color="blue", weight=3]; 983[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 983[label="",style="solid", color="blue", weight=9]; 983 -> 515[label="",style="solid", color="blue", weight=3]; 984[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 984[label="",style="solid", color="blue", weight=9]; 984 -> 516[label="",style="solid", color="blue", weight=3]; 985[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 985[label="",style="solid", color="blue", weight=9]; 985 -> 517[label="",style="solid", color="blue", weight=3]; 986[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 986[label="",style="solid", color="blue", weight=9]; 986 -> 518[label="",style="solid", color="blue", weight=3]; 987[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 987[label="",style="solid", color="blue", weight=9]; 987 -> 519[label="",style="solid", color="blue", weight=3]; 988[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 988[label="",style="solid", color="blue", weight=9]; 988 -> 520[label="",style="solid", color="blue", weight=3]; 989[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 989[label="",style="solid", color="blue", weight=9]; 989 -> 521[label="",style="solid", color="blue", weight=3]; 990[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 522[label="",style="solid", color="blue", weight=3]; 991[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 523[label="",style="solid", color="blue", weight=3]; 318[label="xy302 == xy4002",fontsize=16,color="blue",shape="box"];992[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 524[label="",style="solid", color="blue", weight=3]; 993[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 525[label="",style="solid", color="blue", weight=3]; 994[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 526[label="",style="solid", color="blue", weight=3]; 995[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 527[label="",style="solid", color="blue", weight=3]; 996[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 528[label="",style="solid", color="blue", weight=3]; 997[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 529[label="",style="solid", color="blue", weight=3]; 998[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 530[label="",style="solid", color="blue", weight=3]; 999[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 531[label="",style="solid", color="blue", weight=3]; 1000[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 532[label="",style="solid", color="blue", weight=3]; 1001[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 533[label="",style="solid", color="blue", weight=3]; 1002[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 534[label="",style="solid", color="blue", weight=3]; 1003[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 535[label="",style="solid", color="blue", weight=3]; 1004[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 536[label="",style="solid", color="blue", weight=3]; 1005[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 537[label="",style="solid", color="blue", weight=3]; 319 -> 32[label="",style="dashed", color="red", weight=0]; 319[label="xy300 == xy4000",fontsize=16,color="magenta"];319 -> 538[label="",style="dashed", color="magenta", weight=3]; 319 -> 539[label="",style="dashed", color="magenta", weight=3]; 320 -> 33[label="",style="dashed", color="red", weight=0]; 320[label="xy300 == xy4000",fontsize=16,color="magenta"];320 -> 540[label="",style="dashed", color="magenta", weight=3]; 320 -> 541[label="",style="dashed", color="magenta", weight=3]; 321 -> 34[label="",style="dashed", color="red", weight=0]; 321[label="xy300 == xy4000",fontsize=16,color="magenta"];321 -> 542[label="",style="dashed", color="magenta", weight=3]; 321 -> 543[label="",style="dashed", color="magenta", weight=3]; 322 -> 35[label="",style="dashed", color="red", weight=0]; 322[label="xy300 == xy4000",fontsize=16,color="magenta"];322 -> 544[label="",style="dashed", color="magenta", weight=3]; 322 -> 545[label="",style="dashed", color="magenta", weight=3]; 323 -> 36[label="",style="dashed", color="red", weight=0]; 323[label="xy300 == xy4000",fontsize=16,color="magenta"];323 -> 546[label="",style="dashed", color="magenta", weight=3]; 323 -> 547[label="",style="dashed", color="magenta", weight=3]; 324 -> 37[label="",style="dashed", color="red", weight=0]; 324[label="xy300 == xy4000",fontsize=16,color="magenta"];324 -> 548[label="",style="dashed", color="magenta", weight=3]; 324 -> 549[label="",style="dashed", color="magenta", weight=3]; 325 -> 38[label="",style="dashed", color="red", weight=0]; 325[label="xy300 == xy4000",fontsize=16,color="magenta"];325 -> 550[label="",style="dashed", color="magenta", weight=3]; 325 -> 551[label="",style="dashed", color="magenta", weight=3]; 326 -> 39[label="",style="dashed", color="red", weight=0]; 326[label="xy300 == xy4000",fontsize=16,color="magenta"];326 -> 552[label="",style="dashed", color="magenta", weight=3]; 326 -> 553[label="",style="dashed", color="magenta", weight=3]; 327 -> 40[label="",style="dashed", color="red", weight=0]; 327[label="xy300 == xy4000",fontsize=16,color="magenta"];327 -> 554[label="",style="dashed", color="magenta", weight=3]; 327 -> 555[label="",style="dashed", color="magenta", weight=3]; 328 -> 41[label="",style="dashed", color="red", weight=0]; 328[label="xy300 == xy4000",fontsize=16,color="magenta"];328 -> 556[label="",style="dashed", color="magenta", weight=3]; 328 -> 557[label="",style="dashed", color="magenta", weight=3]; 329 -> 42[label="",style="dashed", color="red", weight=0]; 329[label="xy300 == xy4000",fontsize=16,color="magenta"];329 -> 558[label="",style="dashed", color="magenta", weight=3]; 329 -> 559[label="",style="dashed", color="magenta", weight=3]; 330 -> 43[label="",style="dashed", color="red", weight=0]; 330[label="xy300 == xy4000",fontsize=16,color="magenta"];330 -> 560[label="",style="dashed", color="magenta", weight=3]; 330 -> 561[label="",style="dashed", color="magenta", weight=3]; 331 -> 44[label="",style="dashed", color="red", weight=0]; 331[label="xy300 == xy4000",fontsize=16,color="magenta"];331 -> 562[label="",style="dashed", color="magenta", weight=3]; 331 -> 563[label="",style="dashed", color="magenta", weight=3]; 332 -> 45[label="",style="dashed", color="red", weight=0]; 332[label="xy300 == xy4000",fontsize=16,color="magenta"];332 -> 564[label="",style="dashed", color="magenta", weight=3]; 332 -> 565[label="",style="dashed", color="magenta", weight=3]; 333[label="xy301",fontsize=16,color="green",shape="box"];334[label="xy4001",fontsize=16,color="green",shape="box"];335[label="xy300",fontsize=16,color="green",shape="box"];336[label="xy4000",fontsize=16,color="green",shape="box"];337[label="xy300",fontsize=16,color="green",shape="box"];338[label="xy4000",fontsize=16,color="green",shape="box"];339[label="xy300",fontsize=16,color="green",shape="box"];340[label="xy4000",fontsize=16,color="green",shape="box"];341[label="xy300",fontsize=16,color="green",shape="box"];342[label="xy4000",fontsize=16,color="green",shape="box"];343[label="xy300",fontsize=16,color="green",shape="box"];344[label="xy4000",fontsize=16,color="green",shape="box"];345[label="xy300",fontsize=16,color="green",shape="box"];346[label="xy4000",fontsize=16,color="green",shape="box"];347[label="xy300",fontsize=16,color="green",shape="box"];348[label="xy4000",fontsize=16,color="green",shape="box"];349[label="xy300",fontsize=16,color="green",shape="box"];350[label="xy4000",fontsize=16,color="green",shape="box"];351[label="xy300",fontsize=16,color="green",shape="box"];352[label="xy4000",fontsize=16,color="green",shape="box"];353[label="xy300",fontsize=16,color="green",shape="box"];354[label="xy4000",fontsize=16,color="green",shape="box"];355[label="xy300",fontsize=16,color="green",shape="box"];356[label="xy4000",fontsize=16,color="green",shape="box"];357[label="xy300",fontsize=16,color="green",shape="box"];358[label="xy4000",fontsize=16,color="green",shape="box"];359[label="xy300",fontsize=16,color="green",shape="box"];360[label="xy4000",fontsize=16,color="green",shape="box"];361[label="xy300",fontsize=16,color="green",shape="box"];362[label="xy4000",fontsize=16,color="green",shape="box"];363[label="xy300",fontsize=16,color="green",shape="box"];364[label="xy4000",fontsize=16,color="green",shape="box"];365[label="xy300",fontsize=16,color="green",shape="box"];366[label="xy4000",fontsize=16,color="green",shape="box"];367[label="xy300",fontsize=16,color="green",shape="box"];368[label="xy4000",fontsize=16,color="green",shape="box"];369[label="xy300",fontsize=16,color="green",shape="box"];370[label="xy4000",fontsize=16,color="green",shape="box"];371[label="xy300",fontsize=16,color="green",shape="box"];372[label="xy4000",fontsize=16,color="green",shape="box"];373[label="xy300",fontsize=16,color="green",shape="box"];374[label="xy4000",fontsize=16,color="green",shape="box"];375[label="xy300",fontsize=16,color="green",shape="box"];376[label="xy4000",fontsize=16,color="green",shape="box"];377[label="xy300",fontsize=16,color="green",shape="box"];378[label="xy4000",fontsize=16,color="green",shape="box"];379[label="xy300",fontsize=16,color="green",shape="box"];380[label="xy4000",fontsize=16,color="green",shape="box"];381[label="xy300",fontsize=16,color="green",shape="box"];382[label="xy4000",fontsize=16,color="green",shape="box"];383[label="xy300",fontsize=16,color="green",shape="box"];384[label="xy4000",fontsize=16,color="green",shape="box"];385[label="xy300",fontsize=16,color="green",shape="box"];386[label="xy4000",fontsize=16,color="green",shape="box"];387[label="xy300",fontsize=16,color="green",shape="box"];388[label="xy4000",fontsize=16,color="green",shape="box"];389[label="xy300",fontsize=16,color="green",shape="box"];390[label="xy4000",fontsize=16,color="green",shape="box"];391 -> 32[label="",style="dashed", color="red", weight=0]; 391[label="xy300 == xy4000",fontsize=16,color="magenta"];391 -> 566[label="",style="dashed", color="magenta", weight=3]; 391 -> 567[label="",style="dashed", color="magenta", weight=3]; 392 -> 33[label="",style="dashed", color="red", weight=0]; 392[label="xy300 == xy4000",fontsize=16,color="magenta"];392 -> 568[label="",style="dashed", color="magenta", weight=3]; 392 -> 569[label="",style="dashed", color="magenta", weight=3]; 393 -> 34[label="",style="dashed", color="red", weight=0]; 393[label="xy300 == xy4000",fontsize=16,color="magenta"];393 -> 570[label="",style="dashed", color="magenta", weight=3]; 393 -> 571[label="",style="dashed", color="magenta", weight=3]; 394 -> 35[label="",style="dashed", color="red", weight=0]; 394[label="xy300 == xy4000",fontsize=16,color="magenta"];394 -> 572[label="",style="dashed", color="magenta", weight=3]; 394 -> 573[label="",style="dashed", color="magenta", weight=3]; 395 -> 36[label="",style="dashed", color="red", weight=0]; 395[label="xy300 == xy4000",fontsize=16,color="magenta"];395 -> 574[label="",style="dashed", color="magenta", weight=3]; 395 -> 575[label="",style="dashed", color="magenta", weight=3]; 396 -> 37[label="",style="dashed", color="red", weight=0]; 396[label="xy300 == xy4000",fontsize=16,color="magenta"];396 -> 576[label="",style="dashed", color="magenta", weight=3]; 396 -> 577[label="",style="dashed", color="magenta", weight=3]; 397 -> 38[label="",style="dashed", color="red", weight=0]; 397[label="xy300 == xy4000",fontsize=16,color="magenta"];397 -> 578[label="",style="dashed", color="magenta", weight=3]; 397 -> 579[label="",style="dashed", color="magenta", weight=3]; 398 -> 39[label="",style="dashed", color="red", weight=0]; 398[label="xy300 == xy4000",fontsize=16,color="magenta"];398 -> 580[label="",style="dashed", color="magenta", weight=3]; 398 -> 581[label="",style="dashed", color="magenta", weight=3]; 399 -> 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44[label="",style="dashed", color="red", weight=0]; 403[label="xy300 == xy4000",fontsize=16,color="magenta"];403 -> 590[label="",style="dashed", color="magenta", weight=3]; 403 -> 591[label="",style="dashed", color="magenta", weight=3]; 404 -> 45[label="",style="dashed", color="red", weight=0]; 404[label="xy300 == xy4000",fontsize=16,color="magenta"];404 -> 592[label="",style="dashed", color="magenta", weight=3]; 404 -> 593[label="",style="dashed", color="magenta", weight=3]; 405 -> 32[label="",style="dashed", color="red", weight=0]; 405[label="xy301 == xy4001",fontsize=16,color="magenta"];405 -> 594[label="",style="dashed", color="magenta", weight=3]; 405 -> 595[label="",style="dashed", color="magenta", weight=3]; 406 -> 33[label="",style="dashed", color="red", weight=0]; 406[label="xy301 == xy4001",fontsize=16,color="magenta"];406 -> 596[label="",style="dashed", color="magenta", weight=3]; 406 -> 597[label="",style="dashed", color="magenta", weight=3]; 407 -> 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38[label="",style="dashed", color="red", weight=0]; 411[label="xy301 == xy4001",fontsize=16,color="magenta"];411 -> 606[label="",style="dashed", color="magenta", weight=3]; 411 -> 607[label="",style="dashed", color="magenta", weight=3]; 412 -> 39[label="",style="dashed", color="red", weight=0]; 412[label="xy301 == xy4001",fontsize=16,color="magenta"];412 -> 608[label="",style="dashed", color="magenta", weight=3]; 412 -> 609[label="",style="dashed", color="magenta", weight=3]; 413 -> 40[label="",style="dashed", color="red", weight=0]; 413[label="xy301 == xy4001",fontsize=16,color="magenta"];413 -> 610[label="",style="dashed", color="magenta", weight=3]; 413 -> 611[label="",style="dashed", color="magenta", weight=3]; 414 -> 41[label="",style="dashed", color="red", weight=0]; 414[label="xy301 == xy4001",fontsize=16,color="magenta"];414 -> 612[label="",style="dashed", color="magenta", weight=3]; 414 -> 613[label="",style="dashed", color="magenta", weight=3]; 415 -> 42[label="",style="dashed", color="red", weight=0]; 415[label="xy301 == xy4001",fontsize=16,color="magenta"];415 -> 614[label="",style="dashed", color="magenta", weight=3]; 415 -> 615[label="",style="dashed", color="magenta", weight=3]; 416 -> 43[label="",style="dashed", color="red", weight=0]; 416[label="xy301 == xy4001",fontsize=16,color="magenta"];416 -> 616[label="",style="dashed", color="magenta", weight=3]; 416 -> 617[label="",style="dashed", color="magenta", weight=3]; 417 -> 44[label="",style="dashed", color="red", weight=0]; 417[label="xy301 == xy4001",fontsize=16,color="magenta"];417 -> 618[label="",style="dashed", color="magenta", weight=3]; 417 -> 619[label="",style="dashed", color="magenta", weight=3]; 418 -> 45[label="",style="dashed", color="red", weight=0]; 418[label="xy301 == xy4001",fontsize=16,color="magenta"];418 -> 620[label="",style="dashed", color="magenta", weight=3]; 418 -> 621[label="",style="dashed", color="magenta", weight=3]; 419[label="xy300",fontsize=16,color="green",shape="box"];420[label="xy4000",fontsize=16,color="green",shape="box"];421[label="xy300",fontsize=16,color="green",shape="box"];422[label="xy4000",fontsize=16,color="green",shape="box"];423[label="xy300",fontsize=16,color="green",shape="box"];424[label="xy4000",fontsize=16,color="green",shape="box"];425[label="xy300",fontsize=16,color="green",shape="box"];426[label="xy4000",fontsize=16,color="green",shape="box"];427[label="xy300",fontsize=16,color="green",shape="box"];428[label="xy4000",fontsize=16,color="green",shape="box"];429[label="xy300",fontsize=16,color="green",shape="box"];430[label="xy4000",fontsize=16,color="green",shape="box"];431[label="xy300",fontsize=16,color="green",shape="box"];432[label="xy4000",fontsize=16,color="green",shape="box"];433[label="xy300",fontsize=16,color="green",shape="box"];434[label="xy4000",fontsize=16,color="green",shape="box"];435[label="xy300",fontsize=16,color="green",shape="box"];436[label="xy4000",fontsize=16,color="green",shape="box"];437[label="xy300",fontsize=16,color="green",shape="box"];438[label="xy4000",fontsize=16,color="green",shape="box"];439[label="xy300",fontsize=16,color="green",shape="box"];440[label="xy4000",fontsize=16,color="green",shape="box"];441[label="xy300",fontsize=16,color="green",shape="box"];442[label="xy4000",fontsize=16,color="green",shape="box"];443[label="xy300",fontsize=16,color="green",shape="box"];444[label="xy4000",fontsize=16,color="green",shape="box"];445[label="xy300",fontsize=16,color="green",shape="box"];446[label="xy4000",fontsize=16,color="green",shape="box"];447[label="primEqInt (Pos (Succ xy3000)) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];447 -> 622[label="",style="solid", color="black", weight=3]; 448[label="primEqInt (Pos (Succ xy3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];448 -> 623[label="",style="solid", color="black", weight=3]; 449[label="False",fontsize=16,color="green",shape="box"];450[label="primEqInt (Pos Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];450 -> 624[label="",style="solid", color="black", weight=3]; 451[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];451 -> 625[label="",style="solid", color="black", weight=3]; 452[label="primEqInt (Pos Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];452 -> 626[label="",style="solid", color="black", weight=3]; 453[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];453 -> 627[label="",style="solid", color="black", weight=3]; 454[label="False",fontsize=16,color="green",shape="box"];455[label="primEqInt (Neg (Succ xy3000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];455 -> 628[label="",style="solid", color="black", weight=3]; 456[label="primEqInt (Neg (Succ xy3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];456 -> 629[label="",style="solid", color="black", weight=3]; 457[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];457 -> 630[label="",style="solid", color="black", weight=3]; 458[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];458 -> 631[label="",style="solid", color="black", weight=3]; 459[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];459 -> 632[label="",style="solid", color="black", weight=3]; 460[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];460 -> 633[label="",style="solid", color="black", weight=3]; 461[label="primEqNat (Succ xy3000) (Succ xy40000)",fontsize=16,color="black",shape="box"];461 -> 634[label="",style="solid", color="black", weight=3]; 462[label="primEqNat (Succ xy3000) Zero",fontsize=16,color="black",shape="box"];462 -> 635[label="",style="solid", color="black", weight=3]; 463[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];463 -> 636[label="",style="solid", color="black", weight=3]; 464[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];464 -> 637[label="",style="solid", color="black", weight=3]; 465[label="primMulInt xy300 xy4001",fontsize=16,color="burlywood",shape="box"];1006[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];465 -> 1006[label="",style="solid", color="burlywood", weight=9]; 1006 -> 638[label="",style="solid", color="burlywood", weight=3]; 1007[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];465 -> 1007[label="",style="solid", color="burlywood", weight=9]; 1007 -> 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466[label="xy301",fontsize=16,color="green",shape="box"];467[label="xy4000",fontsize=16,color="green",shape="box"];468[label="xy300",fontsize=16,color="green",shape="box"];469[label="xy4001",fontsize=16,color="green",shape="box"];470[label="xy301",fontsize=16,color="green",shape="box"];471[label="xy4000",fontsize=16,color="green",shape="box"];472[label="xy300",fontsize=16,color="green",shape="box"];473[label="xy4000",fontsize=16,color="green",shape="box"];474[label="xy300",fontsize=16,color="green",shape="box"];475[label="xy4000",fontsize=16,color="green",shape="box"];476[label="xy301",fontsize=16,color="green",shape="box"];477[label="xy4001",fontsize=16,color="green",shape="box"];478[label="xy301",fontsize=16,color="green",shape="box"];479[label="xy4001",fontsize=16,color="green",shape="box"];480[label="False",fontsize=16,color="green",shape="box"];481[label="xy35",fontsize=16,color="green",shape="box"];482[label="xy300",fontsize=16,color="green",shape="box"];483[label="xy4000",fontsize=16,color="green",shape="box"];484[label="xy300",fontsize=16,color="green",shape="box"];485[label="xy4000",fontsize=16,color="green",shape="box"];486[label="xy300",fontsize=16,color="green",shape="box"];487[label="xy4000",fontsize=16,color="green",shape="box"];488[label="xy300",fontsize=16,color="green",shape="box"];489[label="xy4000",fontsize=16,color="green",shape="box"];490[label="xy300",fontsize=16,color="green",shape="box"];491[label="xy4000",fontsize=16,color="green",shape="box"];492[label="xy300",fontsize=16,color="green",shape="box"];493[label="xy4000",fontsize=16,color="green",shape="box"];494[label="xy300",fontsize=16,color="green",shape="box"];495[label="xy4000",fontsize=16,color="green",shape="box"];496[label="xy300",fontsize=16,color="green",shape="box"];497[label="xy4000",fontsize=16,color="green",shape="box"];498[label="xy300",fontsize=16,color="green",shape="box"];499[label="xy4000",fontsize=16,color="green",shape="box"];500[label="xy300",fontsize=16,color="green",shape="box"];501[label="xy4000",fontsize=16,color="green",shape="box"];502[label="xy300",fontsize=16,color="green",shape="box"];503[label="xy4000",fontsize=16,color="green",shape="box"];504[label="xy300",fontsize=16,color="green",shape="box"];505[label="xy4000",fontsize=16,color="green",shape="box"];506[label="xy300",fontsize=16,color="green",shape="box"];507[label="xy4000",fontsize=16,color="green",shape="box"];508[label="xy300",fontsize=16,color="green",shape="box"];509[label="xy4000",fontsize=16,color="green",shape="box"];510 -> 32[label="",style="dashed", color="red", weight=0]; 510[label="xy301 == xy4001",fontsize=16,color="magenta"];510 -> 640[label="",style="dashed", color="magenta", weight=3]; 510 -> 641[label="",style="dashed", color="magenta", weight=3]; 511 -> 33[label="",style="dashed", color="red", weight=0]; 511[label="xy301 == xy4001",fontsize=16,color="magenta"];511 -> 642[label="",style="dashed", color="magenta", weight=3]; 511 -> 643[label="",style="dashed", color="magenta", weight=3]; 512 -> 34[label="",style="dashed", color="red", weight=0]; 512[label="xy301 == xy4001",fontsize=16,color="magenta"];512 -> 644[label="",style="dashed", color="magenta", weight=3]; 512 -> 645[label="",style="dashed", color="magenta", weight=3]; 513 -> 35[label="",style="dashed", color="red", weight=0]; 513[label="xy301 == xy4001",fontsize=16,color="magenta"];513 -> 646[label="",style="dashed", color="magenta", weight=3]; 513 -> 647[label="",style="dashed", color="magenta", weight=3]; 514 -> 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38[label="",style="dashed", color="red", weight=0]; 530[label="xy302 == xy4002",fontsize=16,color="magenta"];530 -> 680[label="",style="dashed", color="magenta", weight=3]; 530 -> 681[label="",style="dashed", color="magenta", weight=3]; 531 -> 39[label="",style="dashed", color="red", weight=0]; 531[label="xy302 == xy4002",fontsize=16,color="magenta"];531 -> 682[label="",style="dashed", color="magenta", weight=3]; 531 -> 683[label="",style="dashed", color="magenta", weight=3]; 532 -> 40[label="",style="dashed", color="red", weight=0]; 532[label="xy302 == xy4002",fontsize=16,color="magenta"];532 -> 684[label="",style="dashed", color="magenta", weight=3]; 532 -> 685[label="",style="dashed", color="magenta", weight=3]; 533 -> 41[label="",style="dashed", color="red", weight=0]; 533[label="xy302 == xy4002",fontsize=16,color="magenta"];533 -> 686[label="",style="dashed", color="magenta", weight=3]; 533 -> 687[label="",style="dashed", color="magenta", weight=3]; 534 -> 42[label="",style="dashed", color="red", weight=0]; 534[label="xy302 == xy4002",fontsize=16,color="magenta"];534 -> 688[label="",style="dashed", color="magenta", weight=3]; 534 -> 689[label="",style="dashed", color="magenta", weight=3]; 535 -> 43[label="",style="dashed", color="red", weight=0]; 535[label="xy302 == xy4002",fontsize=16,color="magenta"];535 -> 690[label="",style="dashed", color="magenta", weight=3]; 535 -> 691[label="",style="dashed", color="magenta", weight=3]; 536 -> 44[label="",style="dashed", color="red", weight=0]; 536[label="xy302 == xy4002",fontsize=16,color="magenta"];536 -> 692[label="",style="dashed", color="magenta", weight=3]; 536 -> 693[label="",style="dashed", color="magenta", weight=3]; 537 -> 45[label="",style="dashed", color="red", weight=0]; 537[label="xy302 == xy4002",fontsize=16,color="magenta"];537 -> 694[label="",style="dashed", color="magenta", weight=3]; 537 -> 695[label="",style="dashed", color="magenta", weight=3]; 538[label="xy300",fontsize=16,color="green",shape="box"];539[label="xy4000",fontsize=16,color="green",shape="box"];540[label="xy300",fontsize=16,color="green",shape="box"];541[label="xy4000",fontsize=16,color="green",shape="box"];542[label="xy300",fontsize=16,color="green",shape="box"];543[label="xy4000",fontsize=16,color="green",shape="box"];544[label="xy300",fontsize=16,color="green",shape="box"];545[label="xy4000",fontsize=16,color="green",shape="box"];546[label="xy300",fontsize=16,color="green",shape="box"];547[label="xy4000",fontsize=16,color="green",shape="box"];548[label="xy300",fontsize=16,color="green",shape="box"];549[label="xy4000",fontsize=16,color="green",shape="box"];550[label="xy300",fontsize=16,color="green",shape="box"];551[label="xy4000",fontsize=16,color="green",shape="box"];552[label="xy300",fontsize=16,color="green",shape="box"];553[label="xy4000",fontsize=16,color="green",shape="box"];554[label="xy300",fontsize=16,color="green",shape="box"];555[label="xy4000",fontsize=16,color="green",shape="box"];556[label="xy300",fontsize=16,color="green",shape="box"];557[label="xy4000",fontsize=16,color="green",shape="box"];558[label="xy300",fontsize=16,color="green",shape="box"];559[label="xy4000",fontsize=16,color="green",shape="box"];560[label="xy300",fontsize=16,color="green",shape="box"];561[label="xy4000",fontsize=16,color="green",shape="box"];562[label="xy300",fontsize=16,color="green",shape="box"];563[label="xy4000",fontsize=16,color="green",shape="box"];564[label="xy300",fontsize=16,color="green",shape="box"];565[label="xy4000",fontsize=16,color="green",shape="box"];566[label="xy300",fontsize=16,color="green",shape="box"];567[label="xy4000",fontsize=16,color="green",shape="box"];568[label="xy300",fontsize=16,color="green",shape="box"];569[label="xy4000",fontsize=16,color="green",shape="box"];570[label="xy300",fontsize=16,color="green",shape="box"];571[label="xy4000",fontsize=16,color="green",shape="box"];572[label="xy300",fontsize=16,color="green",shape="box"];573[label="xy4000",fontsize=16,color="green",shape="box"];574[label="xy300",fontsize=16,color="green",shape="box"];575[label="xy4000",fontsize=16,color="green",shape="box"];576[label="xy300",fontsize=16,color="green",shape="box"];577[label="xy4000",fontsize=16,color="green",shape="box"];578[label="xy300",fontsize=16,color="green",shape="box"];579[label="xy4000",fontsize=16,color="green",shape="box"];580[label="xy300",fontsize=16,color="green",shape="box"];581[label="xy4000",fontsize=16,color="green",shape="box"];582[label="xy300",fontsize=16,color="green",shape="box"];583[label="xy4000",fontsize=16,color="green",shape="box"];584[label="xy300",fontsize=16,color="green",shape="box"];585[label="xy4000",fontsize=16,color="green",shape="box"];586[label="xy300",fontsize=16,color="green",shape="box"];587[label="xy4000",fontsize=16,color="green",shape="box"];588[label="xy300",fontsize=16,color="green",shape="box"];589[label="xy4000",fontsize=16,color="green",shape="box"];590[label="xy300",fontsize=16,color="green",shape="box"];591[label="xy4000",fontsize=16,color="green",shape="box"];592[label="xy300",fontsize=16,color="green",shape="box"];593[label="xy4000",fontsize=16,color="green",shape="box"];594[label="xy301",fontsize=16,color="green",shape="box"];595[label="xy4001",fontsize=16,color="green",shape="box"];596[label="xy301",fontsize=16,color="green",shape="box"];597[label="xy4001",fontsize=16,color="green",shape="box"];598[label="xy301",fontsize=16,color="green",shape="box"];599[label="xy4001",fontsize=16,color="green",shape="box"];600[label="xy301",fontsize=16,color="green",shape="box"];601[label="xy4001",fontsize=16,color="green",shape="box"];602[label="xy301",fontsize=16,color="green",shape="box"];603[label="xy4001",fontsize=16,color="green",shape="box"];604[label="xy301",fontsize=16,color="green",shape="box"];605[label="xy4001",fontsize=16,color="green",shape="box"];606[label="xy301",fontsize=16,color="green",shape="box"];607[label="xy4001",fontsize=16,color="green",shape="box"];608[label="xy301",fontsize=16,color="green",shape="box"];609[label="xy4001",fontsize=16,color="green",shape="box"];610[label="xy301",fontsize=16,color="green",shape="box"];611[label="xy4001",fontsize=16,color="green",shape="box"];612[label="xy301",fontsize=16,color="green",shape="box"];613[label="xy4001",fontsize=16,color="green",shape="box"];614[label="xy301",fontsize=16,color="green",shape="box"];615[label="xy4001",fontsize=16,color="green",shape="box"];616[label="xy301",fontsize=16,color="green",shape="box"];617[label="xy4001",fontsize=16,color="green",shape="box"];618[label="xy301",fontsize=16,color="green",shape="box"];619[label="xy4001",fontsize=16,color="green",shape="box"];620[label="xy301",fontsize=16,color="green",shape="box"];621[label="xy4001",fontsize=16,color="green",shape="box"];622 -> 200[label="",style="dashed", color="red", weight=0]; 622[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];622 -> 696[label="",style="dashed", color="magenta", weight=3]; 622 -> 697[label="",style="dashed", color="magenta", weight=3]; 623[label="False",fontsize=16,color="green",shape="box"];624[label="False",fontsize=16,color="green",shape="box"];625[label="True",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 -> 200[label="",style="dashed", color="red", weight=0]; 628[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];628 -> 698[label="",style="dashed", color="magenta", weight=3]; 628 -> 699[label="",style="dashed", color="magenta", weight=3]; 629[label="False",fontsize=16,color="green",shape="box"];630[label="False",fontsize=16,color="green",shape="box"];631[label="True",fontsize=16,color="green",shape="box"];632[label="False",fontsize=16,color="green",shape="box"];633[label="True",fontsize=16,color="green",shape="box"];634 -> 200[label="",style="dashed", color="red", weight=0]; 634[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];634 -> 700[label="",style="dashed", color="magenta", weight=3]; 634 -> 701[label="",style="dashed", color="magenta", weight=3]; 635[label="False",fontsize=16,color="green",shape="box"];636[label="False",fontsize=16,color="green",shape="box"];637[label="True",fontsize=16,color="green",shape="box"];638[label="primMulInt (Pos xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1008[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];638 -> 1008[label="",style="solid", color="burlywood", weight=9]; 1008 -> 702[label="",style="solid", color="burlywood", weight=3]; 1009[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];638 -> 1009[label="",style="solid", color="burlywood", weight=9]; 1009 -> 703[label="",style="solid", color="burlywood", weight=3]; 639[label="primMulInt (Neg xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1010[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];639 -> 1010[label="",style="solid", color="burlywood", weight=9]; 1010 -> 704[label="",style="solid", color="burlywood", weight=3]; 1011[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];639 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 705[label="",style="solid", color="burlywood", weight=3]; 640[label="xy301",fontsize=16,color="green",shape="box"];641[label="xy4001",fontsize=16,color="green",shape="box"];642[label="xy301",fontsize=16,color="green",shape="box"];643[label="xy4001",fontsize=16,color="green",shape="box"];644[label="xy301",fontsize=16,color="green",shape="box"];645[label="xy4001",fontsize=16,color="green",shape="box"];646[label="xy301",fontsize=16,color="green",shape="box"];647[label="xy4001",fontsize=16,color="green",shape="box"];648[label="xy301",fontsize=16,color="green",shape="box"];649[label="xy4001",fontsize=16,color="green",shape="box"];650[label="xy301",fontsize=16,color="green",shape="box"];651[label="xy4001",fontsize=16,color="green",shape="box"];652[label="xy301",fontsize=16,color="green",shape="box"];653[label="xy4001",fontsize=16,color="green",shape="box"];654[label="xy301",fontsize=16,color="green",shape="box"];655[label="xy4001",fontsize=16,color="green",shape="box"];656[label="xy301",fontsize=16,color="green",shape="box"];657[label="xy4001",fontsize=16,color="green",shape="box"];658[label="xy301",fontsize=16,color="green",shape="box"];659[label="xy4001",fontsize=16,color="green",shape="box"];660[label="xy301",fontsize=16,color="green",shape="box"];661[label="xy4001",fontsize=16,color="green",shape="box"];662[label="xy301",fontsize=16,color="green",shape="box"];663[label="xy4001",fontsize=16,color="green",shape="box"];664[label="xy301",fontsize=16,color="green",shape="box"];665[label="xy4001",fontsize=16,color="green",shape="box"];666[label="xy301",fontsize=16,color="green",shape="box"];667[label="xy4001",fontsize=16,color="green",shape="box"];668[label="xy302",fontsize=16,color="green",shape="box"];669[label="xy4002",fontsize=16,color="green",shape="box"];670[label="xy302",fontsize=16,color="green",shape="box"];671[label="xy4002",fontsize=16,color="green",shape="box"];672[label="xy302",fontsize=16,color="green",shape="box"];673[label="xy4002",fontsize=16,color="green",shape="box"];674[label="xy302",fontsize=16,color="green",shape="box"];675[label="xy4002",fontsize=16,color="green",shape="box"];676[label="xy302",fontsize=16,color="green",shape="box"];677[label="xy4002",fontsize=16,color="green",shape="box"];678[label="xy302",fontsize=16,color="green",shape="box"];679[label="xy4002",fontsize=16,color="green",shape="box"];680[label="xy302",fontsize=16,color="green",shape="box"];681[label="xy4002",fontsize=16,color="green",shape="box"];682[label="xy302",fontsize=16,color="green",shape="box"];683[label="xy4002",fontsize=16,color="green",shape="box"];684[label="xy302",fontsize=16,color="green",shape="box"];685[label="xy4002",fontsize=16,color="green",shape="box"];686[label="xy302",fontsize=16,color="green",shape="box"];687[label="xy4002",fontsize=16,color="green",shape="box"];688[label="xy302",fontsize=16,color="green",shape="box"];689[label="xy4002",fontsize=16,color="green",shape="box"];690[label="xy302",fontsize=16,color="green",shape="box"];691[label="xy4002",fontsize=16,color="green",shape="box"];692[label="xy302",fontsize=16,color="green",shape="box"];693[label="xy4002",fontsize=16,color="green",shape="box"];694[label="xy302",fontsize=16,color="green",shape="box"];695[label="xy4002",fontsize=16,color="green",shape="box"];696[label="xy40000",fontsize=16,color="green",shape="box"];697[label="xy3000",fontsize=16,color="green",shape="box"];698[label="xy40000",fontsize=16,color="green",shape="box"];699[label="xy3000",fontsize=16,color="green",shape="box"];700[label="xy40000",fontsize=16,color="green",shape="box"];701[label="xy3000",fontsize=16,color="green",shape="box"];702[label="primMulInt (Pos xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];702 -> 706[label="",style="solid", color="black", weight=3]; 703[label="primMulInt (Pos xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];703 -> 707[label="",style="solid", color="black", weight=3]; 704[label="primMulInt (Neg xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];704 -> 708[label="",style="solid", color="black", weight=3]; 705[label="primMulInt (Neg xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];705 -> 709[label="",style="solid", color="black", weight=3]; 706[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];706 -> 710[label="",style="dashed", color="green", weight=3]; 707[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];707 -> 711[label="",style="dashed", color="green", weight=3]; 708[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];708 -> 712[label="",style="dashed", color="green", weight=3]; 709[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];709 -> 713[label="",style="dashed", color="green", weight=3]; 710[label="primMulNat xy3000 xy40010",fontsize=16,color="burlywood",shape="triangle"];1012[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];710 -> 1012[label="",style="solid", color="burlywood", weight=9]; 1012 -> 714[label="",style="solid", color="burlywood", weight=3]; 1013[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];710 -> 1013[label="",style="solid", color="burlywood", weight=9]; 1013 -> 715[label="",style="solid", color="burlywood", weight=3]; 711 -> 710[label="",style="dashed", color="red", weight=0]; 711[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];711 -> 716[label="",style="dashed", color="magenta", weight=3]; 712 -> 710[label="",style="dashed", color="red", weight=0]; 712[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];712 -> 717[label="",style="dashed", color="magenta", weight=3]; 713 -> 710[label="",style="dashed", color="red", weight=0]; 713[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];713 -> 718[label="",style="dashed", color="magenta", weight=3]; 713 -> 719[label="",style="dashed", color="magenta", weight=3]; 714[label="primMulNat (Succ xy30000) xy40010",fontsize=16,color="burlywood",shape="box"];1014[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];714 -> 1014[label="",style="solid", color="burlywood", weight=9]; 1014 -> 720[label="",style="solid", color="burlywood", weight=3]; 1015[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];714 -> 1015[label="",style="solid", color="burlywood", weight=9]; 1015 -> 721[label="",style="solid", color="burlywood", weight=3]; 715[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];1016[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];715 -> 1016[label="",style="solid", color="burlywood", weight=9]; 1016 -> 722[label="",style="solid", color="burlywood", weight=3]; 1017[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];715 -> 1017[label="",style="solid", color="burlywood", weight=9]; 1017 -> 723[label="",style="solid", color="burlywood", weight=3]; 716[label="xy40010",fontsize=16,color="green",shape="box"];717[label="xy3000",fontsize=16,color="green",shape="box"];718[label="xy40010",fontsize=16,color="green",shape="box"];719[label="xy3000",fontsize=16,color="green",shape="box"];720[label="primMulNat (Succ xy30000) (Succ xy400100)",fontsize=16,color="black",shape="box"];720 -> 724[label="",style="solid", color="black", weight=3]; 721[label="primMulNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];721 -> 725[label="",style="solid", color="black", weight=3]; 722[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];722 -> 726[label="",style="solid", color="black", weight=3]; 723[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];723 -> 727[label="",style="solid", color="black", weight=3]; 724 -> 728[label="",style="dashed", color="red", weight=0]; 724[label="primPlusNat (primMulNat xy30000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];724 -> 729[label="",style="dashed", color="magenta", weight=3]; 725[label="Zero",fontsize=16,color="green",shape="box"];726[label="Zero",fontsize=16,color="green",shape="box"];727[label="Zero",fontsize=16,color="green",shape="box"];729 -> 710[label="",style="dashed", color="red", weight=0]; 729[label="primMulNat xy30000 (Succ xy400100)",fontsize=16,color="magenta"];729 -> 730[label="",style="dashed", color="magenta", weight=3]; 729 -> 731[label="",style="dashed", color="magenta", weight=3]; 728[label="primPlusNat xy36 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];1018[label="xy36/Succ xy360",fontsize=10,color="white",style="solid",shape="box"];728 -> 1018[label="",style="solid", color="burlywood", weight=9]; 1018 -> 732[label="",style="solid", color="burlywood", weight=3]; 1019[label="xy36/Zero",fontsize=10,color="white",style="solid",shape="box"];728 -> 1019[label="",style="solid", color="burlywood", weight=9]; 1019 -> 733[label="",style="solid", color="burlywood", weight=3]; 730[label="Succ xy400100",fontsize=16,color="green",shape="box"];731[label="xy30000",fontsize=16,color="green",shape="box"];732[label="primPlusNat (Succ xy360) (Succ xy400100)",fontsize=16,color="black",shape="box"];732 -> 734[label="",style="solid", color="black", weight=3]; 733[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];733 -> 735[label="",style="solid", color="black", weight=3]; 734[label="Succ (Succ (primPlusNat xy360 xy400100))",fontsize=16,color="green",shape="box"];734 -> 736[label="",style="dashed", color="green", weight=3]; 735[label="Succ xy400100",fontsize=16,color="green",shape="box"];736[label="primPlusNat xy360 xy400100",fontsize=16,color="burlywood",shape="triangle"];1020[label="xy360/Succ xy3600",fontsize=10,color="white",style="solid",shape="box"];736 -> 1020[label="",style="solid", color="burlywood", weight=9]; 1020 -> 737[label="",style="solid", color="burlywood", weight=3]; 1021[label="xy360/Zero",fontsize=10,color="white",style="solid",shape="box"];736 -> 1021[label="",style="solid", color="burlywood", weight=9]; 1021 -> 738[label="",style="solid", color="burlywood", weight=3]; 737[label="primPlusNat (Succ xy3600) xy400100",fontsize=16,color="burlywood",shape="box"];1022[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];737 -> 1022[label="",style="solid", color="burlywood", weight=9]; 1022 -> 739[label="",style="solid", color="burlywood", weight=3]; 1023[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];737 -> 1023[label="",style="solid", color="burlywood", weight=9]; 1023 -> 740[label="",style="solid", color="burlywood", weight=3]; 738[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];1024[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];738 -> 1024[label="",style="solid", color="burlywood", weight=9]; 1024 -> 741[label="",style="solid", color="burlywood", weight=3]; 1025[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];738 -> 1025[label="",style="solid", color="burlywood", weight=9]; 1025 -> 742[label="",style="solid", color="burlywood", weight=3]; 739[label="primPlusNat (Succ xy3600) (Succ xy4001000)",fontsize=16,color="black",shape="box"];739 -> 743[label="",style="solid", color="black", weight=3]; 740[label="primPlusNat (Succ xy3600) Zero",fontsize=16,color="black",shape="box"];740 -> 744[label="",style="solid", color="black", weight=3]; 741[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];741 -> 745[label="",style="solid", color="black", weight=3]; 742[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];742 -> 746[label="",style="solid", color="black", weight=3]; 743[label="Succ (Succ (primPlusNat xy3600 xy4001000))",fontsize=16,color="green",shape="box"];743 -> 747[label="",style="dashed", color="green", weight=3]; 744[label="Succ xy3600",fontsize=16,color="green",shape="box"];745[label="Succ xy4001000",fontsize=16,color="green",shape="box"];746[label="Zero",fontsize=16,color="green",shape="box"];747 -> 736[label="",style="dashed", color="red", weight=0]; 747[label="primPlusNat xy3600 xy4001000",fontsize=16,color="magenta"];747 -> 748[label="",style="dashed", color="magenta", weight=3]; 747 -> 749[label="",style="dashed", color="magenta", weight=3]; 748[label="xy3600",fontsize=16,color="green",shape="box"];749[label="xy4001000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (8) Complex Obligation (AND) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_@2, dd), de), be) -> new_esEs2(xy301, xy4001, dd, de) new_esEs3(Just(xy300), Just(xy4000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(xy300, xy4000, bdg, bdh) new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, gh), ha), gf) -> new_esEs1(xy300, xy4000, gh, ha) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_[], bce)) -> new_esEs0(xy301, xy4001, bce) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_[], da), be) -> new_esEs0(xy301, xy4001, da) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_@2, ee), ef)) -> new_esEs2(xy302, xy4002, ee, ef) new_esEs1(Right(xy300), Right(xy4000), he, app(ty_[], baa)) -> new_esEs0(xy300, xy4000, baa) new_esEs1(Right(xy300), Right(xy4000), he, app(ty_Maybe, baf)) -> new_esEs3(xy300, xy4000, baf) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_[], eb)) -> new_esEs0(xy302, xy4002, eb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy302, xy4002, dg, dh, ea) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_Maybe, bdb)) -> new_esEs3(xy301, xy4001, bdb) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_@2, bch), bda)) -> new_esEs2(xy301, xy4001, bch, bda) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_@2, fg), fh)) -> new_esEs2(xy300, xy4000, fg, fh) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bbc), bbb) -> new_esEs0(xy300, xy4000, bbc) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bag), bah), bba), bbb) -> new_esEs(xy300, xy4000, bag, bah, bba) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbh), bbb) -> new_esEs3(xy300, xy4000, bbh) new_esEs3(Just(xy300), Just(xy4000), app(ty_Maybe, bec)) -> new_esEs3(xy300, xy4000, bec) new_esEs3(Just(xy300), Just(xy4000), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy300, xy4000, bdc, bdd, bde) new_esEs1(Left(xy300), Left(xy4000), app(ty_[], gg), gf) -> new_esEs0(xy300, xy4000, gg) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_Either, fd), ff)) -> new_esEs1(xy300, xy4000, fd, ff) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_[], fc)) -> new_esEs0(xy300, xy4000, fc) new_esEs3(Just(xy300), Just(xy4000), app(ty_[], bdf)) -> new_esEs0(xy300, xy4000, bdf) new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, hd), gf) -> new_esEs3(xy300, xy4000, hd) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, bbf), bbg), bbb) -> new_esEs2(xy300, xy4000, bbf, bbg) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy301, xy4001, ce, cf, cg) new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_@2, bad), bae)) -> new_esEs2(xy300, xy4000, bad, bae) new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, gc), gd), ge), gf) -> new_esEs(xy300, xy4000, gc, gd, ge) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), gb) -> new_esEs0(xy301, xy4001, gb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, ca), cb), bd, be) -> new_esEs2(xy300, xy4000, ca, cb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_Either, db), dc), be) -> new_esEs1(xy301, xy4001, db, dc) new_esEs3(Just(xy300), Just(xy4000), app(app(ty_@2, bea), beb)) -> new_esEs2(xy300, xy4000, bea, beb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_Either, ec), ed)) -> new_esEs1(xy302, xy4002, ec, ed) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs(xy301, xy4001, bcb, bcc, bcd) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bg), bh), bd, be) -> new_esEs1(xy300, xy4000, bg, bh) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_Maybe, ga)) -> new_esEs3(xy300, xy4000, ga) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy300, xy4000, ba, bb, bc) new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, hb), hc), gf) -> new_esEs2(xy300, xy4000, hb, hc) new_esEs1(Right(xy300), Right(xy4000), he, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs(xy300, xy4000, hf, hg, hh) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_Maybe, eg)) -> new_esEs3(xy302, xy4002, eg) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy300, xy4000, eh, fa, fb) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bbd), bbe), bbb) -> new_esEs1(xy300, xy4000, bbd, bbe) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_Maybe, df), be) -> new_esEs3(xy301, xy4001, df) new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_Either, bab), bac)) -> new_esEs1(xy300, xy4000, bab, bac) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_Either, bcf), bcg)) -> new_esEs1(xy301, xy4001, bcf, bcg) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, cc), bd, be) -> new_esEs3(xy300, xy4000, cc) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bf), bd, be) -> new_esEs0(xy300, xy4000, bf) R is empty. Q is empty. 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_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy300, xy4000, eh, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_Maybe, ga)) -> new_esEs3(xy300, xy4000, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_Either, fd), ff)) -> new_esEs1(xy300, xy4000, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_@2, fg), fh)) -> new_esEs2(xy300, xy4000, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xy300), Just(xy4000), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy300, xy4000, bdc, bdd, bde) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(xy300), Just(xy4000), app(ty_Maybe, bec)) -> new_esEs3(xy300, xy4000, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xy300), Just(xy4000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(xy300, xy4000, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xy300), Just(xy4000), app(app(ty_@2, bea), beb)) -> new_esEs2(xy300, xy4000, bea, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xy300), Just(xy4000), app(ty_[], bdf)) -> new_esEs0(xy300, xy4000, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bag), bah), bba), bbb) -> new_esEs(xy300, xy4000, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs(xy301, xy4001, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_Maybe, bdb)) -> new_esEs3(xy301, xy4001, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbh), bbb) -> new_esEs3(xy300, xy4000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bbd), bbe), bbb) -> new_esEs1(xy300, xy4000, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_Either, bcf), bcg)) -> new_esEs1(xy301, xy4001, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_@2, bch), bda)) -> new_esEs2(xy301, xy4001, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, bbf), bbg), bbb) -> new_esEs2(xy300, xy4000, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_[], bce)) -> new_esEs0(xy301, xy4001, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bbc), bbb) -> new_esEs0(xy300, xy4000, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, gc), gd), ge), gf) -> new_esEs(xy300, xy4000, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xy300), Right(xy4000), he, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs(xy300, xy4000, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy302, xy4002, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy301, xy4001, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy300, xy4000, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xy300), Right(xy4000), he, app(ty_Maybe, baf)) -> new_esEs3(xy300, xy4000, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, hd), gf) -> new_esEs3(xy300, xy4000, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, gh), ha), gf) -> new_esEs1(xy300, xy4000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_Either, bab), bac)) -> new_esEs1(xy300, xy4000, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_@2, bad), bae)) -> new_esEs2(xy300, xy4000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, hb), hc), gf) -> new_esEs2(xy300, xy4000, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xy300), Right(xy4000), he, app(ty_[], baa)) -> new_esEs0(xy300, xy4000, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(ty_[], gg), gf) -> new_esEs0(xy300, xy4000, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_Maybe, eg)) -> new_esEs3(xy302, xy4002, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_Maybe, df), be) -> new_esEs3(xy301, xy4001, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, cc), bd, be) -> new_esEs3(xy300, xy4000, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_Either, db), dc), be) -> new_esEs1(xy301, xy4001, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_Either, ec), ed)) -> new_esEs1(xy302, xy4002, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bg), bh), bd, be) -> new_esEs1(xy300, xy4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_[], fc)) -> new_esEs0(xy300, xy4000, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), gb) -> new_esEs0(xy301, xy4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_@2, dd), de), be) -> new_esEs2(xy301, xy4001, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_@2, ee), ef)) -> new_esEs2(xy302, xy4002, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, ca), cb), bd, be) -> new_esEs2(xy300, xy4000, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_[], da), be) -> new_esEs0(xy301, xy4001, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_[], eb)) -> new_esEs0(xy302, xy4002, eb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bf), bd, be) -> new_esEs0(xy300, xy4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 ---------------------------------------- (11) YES ---------------------------------------- (12) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy00(xy19, xy20, xy21, False, be, bf) -> new_deleteBy(Right(xy21), xy19, be, bf) new_deleteBy(Left(xy30), :(Right(xy400), xy41), bc, bd) -> new_deleteBy(Left(xy30), xy41, bc, bd) new_deleteBy(Right(xy30), :(Left(xy400), xy41), bc, bd) -> new_deleteBy(Right(xy30), xy41, bc, bd) new_deleteBy(Left(xy30), :(Left(xy400), xy41), bc, bd) -> new_deleteBy0(xy41, xy400, xy30, new_esEs4(xy30, xy400, bc), bc, bd) new_deleteBy0(xy10, xy11, xy12, False, ba, bb) -> new_deleteBy(Left(xy12), xy10, ba, bb) new_deleteBy(Right(xy30), :(Right(xy400), xy41), bc, bd) -> new_deleteBy00(xy41, xy400, xy30, new_esEs5(xy30, xy400, bd), bc, bd) The TRS R consists of the following rules: new_esEs7(LT, GT) -> False new_esEs7(GT, LT) -> False new_esEs14(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs7(LT, EQ) -> False new_esEs7(EQ, LT) -> False new_esEs27(xy301, xy4001, app(app(app(ty_@3, bgf), bgg), bgh)) -> new_esEs13(xy301, xy4001, bgf, bgg, bgh) new_esEs18(True, True) -> True new_esEs27(xy301, xy4001, ty_Double) -> new_esEs19(xy301, xy4001) new_esEs25(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs27(xy301, xy4001, ty_@0) -> new_esEs22(xy301, xy4001) new_esEs25(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), app(app(ty_Either, bac), bad)) -> new_esEs21(xy300, xy4000, bac, bad) new_esEs17(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs14(xy300, xy4000, app(app(ty_Either, da), db)) -> new_esEs21(xy300, xy4000, da, db) new_esEs16(xy302, xy4002, ty_Float) -> new_esEs17(xy302, xy4002) new_esEs26(xy300, xy4000, app(ty_Maybe, bgd)) -> new_esEs24(xy300, xy4000, bgd) new_esEs5(xy30, xy400, app(ty_Ratio, gc)) -> new_esEs8(xy30, xy400, gc) new_esEs21(Left(xy300), Left(xy4000), ty_Ordering, bah) -> new_esEs7(xy300, xy4000) new_esEs5(xy30, xy400, ty_Float) -> new_esEs17(xy30, xy400) new_esEs26(xy300, xy4000, app(ty_Ratio, bfc)) -> new_esEs8(xy300, xy4000, bfc) new_esEs21(Left(xy300), Left(xy4000), ty_Char, bah) -> new_esEs6(xy300, xy4000) new_esEs25(xy300, xy4000, app(app(ty_@2, bef), beg)) -> new_esEs23(xy300, xy4000, bef, beg) new_esEs16(xy302, xy4002, app(ty_Ratio, eh)) -> new_esEs8(xy302, xy4002, eh) new_asAs(True, xy35) -> xy35 new_esEs4(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) new_esEs22(@0, @0) -> True new_esEs25(xy300, xy4000, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs13(xy300, xy4000, bdh, bea, beb) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs6(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs21(Left(xy300), Right(xy4000), bcc, bah) -> False new_esEs21(Right(xy300), Left(xy4000), bcc, bah) -> False new_esEs5(xy30, xy400, ty_Integer) -> new_esEs11(xy30, xy400) new_esEs5(xy30, xy400, ty_Ordering) -> new_esEs7(xy30, xy400) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs13(xy300, xy4000, bce, bcf, bcg) new_esEs15(xy301, xy4001, app(ty_Maybe, eg)) -> new_esEs24(xy301, xy4001, eg) new_esEs16(xy302, xy4002, app(app(ty_Either, ff), fg)) -> new_esEs21(xy302, xy4002, ff, fg) new_esEs14(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), ty_Int) -> new_esEs12(xy300, xy4000) new_esEs4(xy30, xy400, app(app(ty_@2, bfa), bfb)) -> new_esEs23(xy30, xy400, bfa, bfb) new_esEs18(False, False) -> True new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs4(xy30, xy400, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs13(xy30, xy400, bh, ca, cb) new_esEs14(xy300, xy4000, app(ty_Ratio, cc)) -> new_esEs8(xy300, xy4000, cc) new_esEs14(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs15(xy301, xy4001, ty_Char) -> new_esEs6(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), app(ty_Ratio, hf)) -> new_esEs8(xy300, xy4000, hf) new_esEs15(xy301, xy4001, ty_Ordering) -> new_esEs7(xy301, xy4001) new_esEs15(xy301, xy4001, ty_@0) -> new_esEs22(xy301, xy4001) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(ty_Either, bda), bdb)) -> new_esEs21(xy300, xy4000, bda, bdb) new_esEs5(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), app(ty_[], bab)) -> new_esEs20(xy300, xy4000, bab) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), app(ty_Maybe, bag)) -> new_esEs24(xy300, xy4000, bag) new_primMulNat0(Zero, Zero) -> Zero new_esEs16(xy302, xy4002, app(ty_Maybe, gb)) -> new_esEs24(xy302, xy4002, gb) new_esEs21(Left(xy300), Left(xy4000), app(ty_Maybe, bcb), bah) -> new_esEs24(xy300, xy4000, bcb) new_esEs21(Left(xy300), Left(xy4000), app(app(ty_Either, bbf), bbg), bah) -> new_esEs21(xy300, xy4000, bbf, bbg) new_esEs14(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs27(xy301, xy4001, app(app(ty_Either, bhb), bhc)) -> new_esEs21(xy301, xy4001, bhb, bhc) new_esEs10(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_esEs15(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), app(app(app(ty_@3, hg), hh), baa)) -> new_esEs13(xy300, xy4000, hg, hh, baa) new_esEs25(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs4(xy30, xy400, app(ty_Maybe, he)) -> new_esEs24(xy30, xy400, he) new_esEs26(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs27(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs16(xy302, xy4002, ty_Bool) -> new_esEs18(xy302, xy4002) new_esEs5(xy30, xy400, app(ty_[], gg)) -> new_esEs20(xy30, xy400, gg) new_esEs21(Left(xy300), Left(xy4000), ty_@0, bah) -> new_esEs22(xy300, xy4000) new_esEs8(:%(xy300, xy301), :%(xy4000, xy4001), bg) -> new_asAs(new_esEs9(xy300, xy4000, bg), new_esEs10(xy301, xy4001, bg)) new_esEs26(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs5(xy30, xy400, app(ty_Maybe, hd)) -> new_esEs24(xy30, xy400, hd) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs11(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), ty_Bool, bah) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, ty_@0) -> new_esEs22(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), app(ty_Ratio, bba), bah) -> new_esEs8(xy300, xy4000, bba) new_esEs24(Just(xy300), Just(xy4000), ty_@0) -> new_esEs22(xy300, xy4000) new_esEs5(xy30, xy400, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs13(xy30, xy400, gd, ge, gf) new_esEs24(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs16(xy302, xy4002, ty_Integer) -> new_esEs11(xy302, xy4002) new_esEs11(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs15(xy301, xy4001, app(ty_Ratio, df)) -> new_esEs8(xy301, xy4001, df) new_esEs14(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs9(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs16(xy302, xy4002, ty_@0) -> new_esEs22(xy302, xy4002) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_Ratio, bcd)) -> new_esEs8(xy300, xy4000, bcd) new_esEs27(xy301, xy4001, app(ty_Ratio, bge)) -> new_esEs8(xy301, xy4001, bge) new_esEs25(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_primPlusNat1(Succ(xy3600), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3600, xy4001000))) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs14(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs26(xy300, xy4000, app(app(ty_Either, bfh), bga)) -> new_esEs21(xy300, xy4000, bfh, bga) new_esEs20([], [], bdf) -> True new_esEs27(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) new_esEs20(:(xy300, xy301), [], bdf) -> False new_esEs20([], :(xy4000, xy4001), bdf) -> False new_esEs25(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs25(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs16(xy302, xy4002, app(app(ty_@2, fh), ga)) -> new_esEs23(xy302, xy4002, fh, ga) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs26(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs12(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs15(xy301, xy4001, ty_Float) -> new_esEs17(xy301, xy4001) new_esEs14(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs15(xy301, xy4001, app(app(ty_Either, ec), ed)) -> new_esEs21(xy301, xy4001, ec, ed) new_esEs4(xy30, xy400, ty_Float) -> new_esEs17(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), ty_Int, bah) -> new_esEs12(xy300, xy4000) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy300, xy4000, app(ty_Ratio, bdg)) -> new_esEs8(xy300, xy4000, bdg) new_esEs27(xy301, xy4001, app(ty_Maybe, bhf)) -> new_esEs24(xy301, xy4001, bhf) new_esEs5(xy30, xy400, ty_@0) -> new_esEs22(xy30, xy400) new_esEs27(xy301, xy4001, app(ty_[], bha)) -> new_esEs20(xy301, xy4001, bha) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs5(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) new_esEs19(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs20(:(xy300, xy301), :(xy4000, xy4001), bdf) -> new_asAs(new_esEs25(xy300, xy4000, bdf), new_esEs20(xy301, xy4001, bdf)) new_esEs5(xy30, xy400, app(app(ty_@2, hb), hc)) -> new_esEs23(xy30, xy400, hb, hc) new_esEs9(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs18(False, True) -> False new_esEs18(True, False) -> False new_esEs21(Left(xy300), Left(xy4000), ty_Integer, bah) -> new_esEs11(xy300, xy4000) new_esEs27(xy301, xy4001, ty_Ordering) -> new_esEs7(xy301, xy4001) new_esEs14(xy300, xy4000, app(ty_[], cg)) -> new_esEs20(xy300, xy4000, cg) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(ty_@2, bdc), bdd)) -> new_esEs23(xy300, xy4000, bdc, bdd) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs14(xy300, xy4000, app(app(ty_@2, dc), dd)) -> new_esEs23(xy300, xy4000, dc, dd) new_esEs25(xy300, xy4000, app(ty_[], bec)) -> new_esEs20(xy300, xy4000, bec) new_primPlusNat0(Succ(xy360), xy400100) -> Succ(Succ(new_primPlusNat1(xy360, xy400100))) new_esEs25(xy300, xy4000, app(app(ty_Either, bed), bee)) -> new_esEs21(xy300, xy4000, bed, bee) new_esEs4(xy30, xy400, app(ty_Ratio, bg)) -> new_esEs8(xy30, xy400, bg) new_esEs4(xy30, xy400, app(app(ty_Either, bcc), bah)) -> new_esEs21(xy30, xy400, bcc, bah) new_esEs5(xy30, xy400, ty_Char) -> new_esEs6(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), ty_Float, bah) -> new_esEs17(xy300, xy4000) new_esEs23(@2(xy300, xy301), @2(xy4000, xy4001), bfa, bfb) -> new_asAs(new_esEs26(xy300, xy4000, bfa), new_esEs27(xy301, xy4001, bfb)) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) new_esEs7(LT, LT) -> True new_esEs15(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_esEs16(xy302, xy4002, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs13(xy302, xy4002, fa, fb, fc) new_esEs5(xy30, xy400, ty_Double) -> new_esEs19(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), app(app(ty_@2, bae), baf)) -> new_esEs23(xy300, xy4000, bae, baf) new_esEs26(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(ty_[], bbe), bah) -> new_esEs20(xy300, xy4000, bbe) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs7(EQ, GT) -> False new_esEs7(GT, EQ) -> False new_esEs16(xy302, xy4002, app(ty_[], fd)) -> new_esEs20(xy302, xy4002, fd) new_esEs7(EQ, EQ) -> True new_esEs4(xy30, xy400, app(ty_[], bdf)) -> new_esEs20(xy30, xy400, bdf) new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_[], bch)) -> new_esEs20(xy300, xy4000, bch) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_Maybe, bde)) -> new_esEs24(xy300, xy4000, bde) new_esEs24(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs27(xy301, xy4001, app(app(ty_@2, bhd), bhe)) -> new_esEs23(xy301, xy4001, bhd, bhe) new_esEs16(xy302, xy4002, ty_Ordering) -> new_esEs7(xy302, xy4002) new_esEs15(xy301, xy4001, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs13(xy301, xy4001, dg, dh, ea) new_esEs27(xy301, xy4001, ty_Float) -> new_esEs17(xy301, xy4001) new_esEs14(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs4(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs26(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs14(xy300, xy4000, app(app(app(ty_@3, cd), ce), cf)) -> new_esEs13(xy300, xy4000, cd, ce, cf) new_primPlusNat1(Succ(xy3600), Zero) -> Succ(xy3600) new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_esEs26(xy300, xy4000, app(app(ty_@2, bgb), bgc)) -> new_esEs23(xy300, xy4000, bgb, bgc) new_esEs24(Nothing, Nothing, he) -> True new_esEs15(xy301, xy4001, ty_Double) -> new_esEs19(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), ty_Double) -> new_esEs19(xy300, xy4000) new_esEs16(xy302, xy4002, ty_Int) -> new_esEs12(xy302, xy4002) new_esEs27(xy301, xy4001, ty_Char) -> new_esEs6(xy301, xy4001) new_esEs13(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), bh, ca, cb) -> new_asAs(new_esEs14(xy300, xy4000, bh), new_asAs(new_esEs15(xy301, xy4001, ca), new_esEs16(xy302, xy4002, cb))) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs14(xy300, xy4000, app(ty_Maybe, de)) -> new_esEs24(xy300, xy4000, de) new_esEs21(Left(xy300), Left(xy4000), ty_Double, bah) -> new_esEs19(xy300, xy4000) new_esEs4(xy30, xy400, ty_Double) -> new_esEs19(xy30, xy400) new_esEs27(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_primEqNat0(Zero, Zero) -> True new_esEs26(xy300, xy4000, app(ty_[], bfg)) -> new_esEs20(xy300, xy4000, bfg) new_esEs24(Nothing, Just(xy4000), he) -> False new_esEs24(Just(xy300), Nothing, he) -> False new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs15(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs16(xy302, xy4002, ty_Char) -> new_esEs6(xy302, xy4002) new_asAs(False, xy35) -> False new_esEs25(xy300, xy4000, app(ty_Maybe, beh)) -> new_esEs24(xy300, xy4000, beh) new_esEs15(xy301, xy4001, app(ty_[], eb)) -> new_esEs20(xy301, xy4001, eb) new_esEs25(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), ty_Char) -> new_esEs6(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(app(app(ty_@3, bbb), bbc), bbd), bah) -> new_esEs13(xy300, xy4000, bbb, bbc, bbd) new_esEs26(xy300, xy4000, app(app(app(ty_@3, bfd), bfe), bff)) -> new_esEs13(xy300, xy4000, bfd, bfe, bff) new_esEs16(xy302, xy4002, ty_Double) -> new_esEs19(xy302, xy4002) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs5(xy30, xy400, app(app(ty_Either, gh), ha)) -> new_esEs21(xy30, xy400, gh, ha) new_esEs10(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs15(xy301, xy4001, app(app(ty_@2, ee), ef)) -> new_esEs23(xy301, xy4001, ee, ef) new_esEs24(Just(xy300), Just(xy4000), ty_Float) -> new_esEs17(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(app(ty_@2, bbh), bca), bah) -> new_esEs23(xy300, xy4000, bbh, bca) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs7(GT, GT) -> True new_esEs4(xy30, xy400, ty_Char) -> new_esEs6(xy30, xy400) new_esEs25(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs7(xy30, xy400) The set Q consists of the following terms: new_esEs21(Right(x0), Right(x1), x2, ty_@0) new_esEs4(x0, x1, ty_Integer) new_esEs15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_@0) new_esEs7(EQ, EQ) new_esEs27(x0, x1, ty_Bool) new_esEs15(x0, x1, ty_Char) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_sr(Neg(x0), Neg(x1)) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Zero, Zero) new_esEs14(x0, x1, ty_Ordering) new_primPlusNat1(Zero, Zero) new_asAs(True, x0) new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs14(x0, x1, ty_Float) new_esEs14(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs18(True, True) new_esEs25(x0, x1, ty_Char) new_primMulNat0(Zero, Succ(x0)) new_esEs26(x0, x1, ty_@0) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs20(:(x0, x1), [], x2) new_esEs14(x0, x1, ty_Char) new_esEs14(x0, x1, ty_Double) new_esEs21(Left(x0), Left(x1), ty_Float, x2) new_esEs16(x0, x1, ty_Char) new_esEs24(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs21(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, ty_Int) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs7(LT, LT) new_esEs14(x0, x1, ty_Int) new_esEs21(Right(x0), Right(x1), x2, ty_Integer) new_esEs17(Float(x0, x1), Float(x2, x3)) new_esEs16(x0, x1, ty_@0) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs5(x0, x1, ty_Integer) new_esEs15(x0, x1, ty_Int) new_esEs24(Just(x0), Just(x1), ty_Integer) new_primPlusNat0(Succ(x0), x1) new_esEs21(Left(x0), Left(x1), ty_Ordering, x2) new_esEs24(Just(x0), Just(x1), ty_Float) new_esEs25(x0, x1, ty_Bool) new_sr(Pos(x0), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs11(Integer(x0), Integer(x1)) new_esEs15(x0, x1, ty_Double) new_esEs14(x0, x1, app(ty_[], x2)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs24(Just(x0), Just(x1), ty_Ordering) new_esEs15(x0, x1, ty_Ordering) new_esEs24(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs21(Left(x0), Left(x1), ty_Int, x2) new_esEs21(Left(x0), Right(x1), x2, x3) new_esEs21(Right(x0), Left(x1), x2, x3) new_esEs24(Nothing, Just(x0), x1) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Integer) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Bool) new_esEs25(x0, x1, ty_Int) new_esEs15(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Integer) new_esEs21(Left(x0), Left(x1), ty_Double, x2) new_esEs4(x0, x1, ty_Bool) new_esEs18(False, False) new_esEs25(x0, x1, ty_@0) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(@0, @0) new_esEs24(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs12(x0, x1) new_esEs23(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs20([], :(x0, x1), x2) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs24(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Int) new_esEs16(x0, x1, app(ty_Maybe, x2)) new_esEs15(x0, x1, app(ty_Ratio, x2)) new_esEs21(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Float) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs16(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, ty_Int) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, ty_Double) new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, ty_Float) new_esEs24(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs7(GT, GT) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(x0, x1, ty_Integer) new_esEs24(Just(x0), Just(x1), ty_Char) new_asAs(False, x0) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs27(x0, x1, ty_Float) new_esEs21(Right(x0), Right(x1), x2, ty_Double) new_esEs7(LT, EQ) new_esEs7(EQ, LT) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(x0, x1, app(ty_Ratio, x2)) new_primPlusNat0(Zero, x0) new_esEs15(x0, x1, ty_Integer) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs21(Left(x0), Left(x1), ty_Char, x2) new_esEs14(x0, x1, ty_Bool) new_esEs5(x0, x1, ty_Int) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Float) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs18(False, True) new_esEs18(True, False) new_esEs7(LT, GT) new_esEs7(GT, LT) new_esEs21(Left(x0), Left(x1), ty_@0, x2) new_esEs16(x0, x1, ty_Float) new_esEs14(x0, x1, ty_@0) new_esEs15(x0, x1, app(ty_[], x2)) new_esEs24(Just(x0), Just(x1), ty_Int) new_esEs5(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Integer) new_esEs16(x0, x1, ty_Ordering) new_esEs16(x0, x1, ty_Double) new_esEs26(x0, x1, ty_Double) new_esEs16(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(Right(x0), Right(x1), x2, ty_Int) new_esEs4(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(Just(x0), Just(x1), ty_@0) new_esEs27(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Char) new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, ty_Ordering) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs20(:(x0, x1), :(x2, x3), x4) new_esEs27(x0, x1, ty_Int) new_esEs19(Double(x0, x1), Double(x2, x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs16(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs24(Just(x0), Just(x1), ty_Bool) new_esEs21(Right(x0), Right(x1), x2, ty_Char) new_esEs7(EQ, GT) new_esEs7(GT, EQ) new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs6(Char(x0), Char(x1)) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs24(Just(x0), Just(x1), ty_Double) new_esEs16(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs15(x0, x1, ty_@0) new_esEs14(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, ty_@0) new_esEs26(x0, x1, ty_Float) new_primEqNat0(Succ(x0), Zero) new_esEs5(x0, x1, ty_@0) new_esEs27(x0, x1, ty_Integer) new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(x0, x1, ty_Integer) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs15(x0, x1, ty_Float) new_esEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs16(x0, x1, app(ty_Ratio, x2)) new_esEs16(x0, x1, ty_Bool) new_esEs20([], [], x0) new_esEs16(x0, x1, app(app(ty_Either, x2), x3)) new_esEs8(:%(x0, x1), :%(x2, x3), x4) new_esEs5(x0, x1, ty_Bool) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(Nothing, Nothing, x0) new_esEs5(x0, x1, ty_Double) new_esEs14(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs5(x0, x1, ty_Char) new_esEs24(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, ty_Ordering) new_esEs21(Right(x0), Right(x1), x2, ty_Bool) new_esEs24(Just(x0), Nothing, x1) new_esEs25(x0, x1, ty_Integer) new_esEs15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Int) new_primEqNat0(Zero, Succ(x0)) new_primPlusNat1(Succ(x0), Zero) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (13) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (14) Complex Obligation (AND) ---------------------------------------- (15) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy(Left(xy30), :(Left(xy400), xy41), bc, bd) -> new_deleteBy0(xy41, xy400, xy30, new_esEs4(xy30, xy400, bc), bc, bd) new_deleteBy0(xy10, xy11, xy12, False, ba, bb) -> new_deleteBy(Left(xy12), xy10, ba, bb) new_deleteBy(Left(xy30), :(Right(xy400), xy41), bc, bd) -> new_deleteBy(Left(xy30), xy41, bc, bd) The TRS R consists of the following rules: new_esEs7(LT, GT) -> False new_esEs7(GT, LT) -> False new_esEs14(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs7(LT, EQ) -> False new_esEs7(EQ, LT) -> False new_esEs27(xy301, xy4001, app(app(app(ty_@3, bgf), bgg), bgh)) -> new_esEs13(xy301, xy4001, bgf, bgg, bgh) new_esEs18(True, True) -> True new_esEs27(xy301, xy4001, ty_Double) -> new_esEs19(xy301, xy4001) new_esEs25(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs27(xy301, xy4001, ty_@0) -> new_esEs22(xy301, xy4001) new_esEs25(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), app(app(ty_Either, bac), bad)) -> new_esEs21(xy300, xy4000, bac, bad) new_esEs17(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs14(xy300, xy4000, app(app(ty_Either, da), db)) -> new_esEs21(xy300, xy4000, da, db) new_esEs16(xy302, xy4002, ty_Float) -> new_esEs17(xy302, xy4002) new_esEs26(xy300, xy4000, app(ty_Maybe, bgd)) -> new_esEs24(xy300, xy4000, bgd) new_esEs5(xy30, xy400, app(ty_Ratio, gc)) -> new_esEs8(xy30, xy400, gc) new_esEs21(Left(xy300), Left(xy4000), ty_Ordering, bah) -> new_esEs7(xy300, xy4000) new_esEs5(xy30, xy400, ty_Float) -> new_esEs17(xy30, xy400) new_esEs26(xy300, xy4000, app(ty_Ratio, bfc)) -> new_esEs8(xy300, xy4000, bfc) new_esEs21(Left(xy300), Left(xy4000), ty_Char, bah) -> new_esEs6(xy300, xy4000) new_esEs25(xy300, xy4000, app(app(ty_@2, bef), beg)) -> new_esEs23(xy300, xy4000, bef, beg) new_esEs16(xy302, xy4002, app(ty_Ratio, eh)) -> new_esEs8(xy302, xy4002, eh) new_asAs(True, xy35) -> xy35 new_esEs4(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) new_esEs22(@0, @0) -> True new_esEs25(xy300, xy4000, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs13(xy300, xy4000, bdh, bea, beb) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs6(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs21(Left(xy300), Right(xy4000), bcc, bah) -> False new_esEs21(Right(xy300), Left(xy4000), bcc, bah) -> False new_esEs5(xy30, xy400, ty_Integer) -> new_esEs11(xy30, xy400) new_esEs5(xy30, xy400, ty_Ordering) -> new_esEs7(xy30, xy400) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs13(xy300, xy4000, bce, bcf, bcg) new_esEs15(xy301, xy4001, app(ty_Maybe, eg)) -> new_esEs24(xy301, xy4001, eg) new_esEs16(xy302, xy4002, app(app(ty_Either, ff), fg)) -> new_esEs21(xy302, xy4002, ff, fg) new_esEs14(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), ty_Int) -> new_esEs12(xy300, xy4000) new_esEs4(xy30, xy400, app(app(ty_@2, bfa), bfb)) -> new_esEs23(xy30, xy400, bfa, bfb) new_esEs18(False, False) -> True new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs4(xy30, xy400, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs13(xy30, xy400, bh, ca, cb) new_esEs14(xy300, xy4000, app(ty_Ratio, cc)) -> new_esEs8(xy300, xy4000, cc) new_esEs14(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs15(xy301, xy4001, ty_Char) -> new_esEs6(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), app(ty_Ratio, hf)) -> new_esEs8(xy300, xy4000, hf) new_esEs15(xy301, xy4001, ty_Ordering) -> new_esEs7(xy301, xy4001) new_esEs15(xy301, xy4001, ty_@0) -> new_esEs22(xy301, xy4001) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(ty_Either, bda), bdb)) -> new_esEs21(xy300, xy4000, bda, bdb) new_esEs5(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), app(ty_[], bab)) -> new_esEs20(xy300, xy4000, bab) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), app(ty_Maybe, bag)) -> new_esEs24(xy300, xy4000, bag) new_primMulNat0(Zero, Zero) -> Zero new_esEs16(xy302, xy4002, app(ty_Maybe, gb)) -> new_esEs24(xy302, xy4002, gb) new_esEs21(Left(xy300), Left(xy4000), app(ty_Maybe, bcb), bah) -> new_esEs24(xy300, xy4000, bcb) new_esEs21(Left(xy300), Left(xy4000), app(app(ty_Either, bbf), bbg), bah) -> new_esEs21(xy300, xy4000, bbf, bbg) new_esEs14(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs27(xy301, xy4001, app(app(ty_Either, bhb), bhc)) -> new_esEs21(xy301, xy4001, bhb, bhc) new_esEs10(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_esEs15(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), app(app(app(ty_@3, hg), hh), baa)) -> new_esEs13(xy300, xy4000, hg, hh, baa) new_esEs25(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs4(xy30, xy400, app(ty_Maybe, he)) -> new_esEs24(xy30, xy400, he) new_esEs26(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs27(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs16(xy302, xy4002, ty_Bool) -> new_esEs18(xy302, xy4002) new_esEs5(xy30, xy400, app(ty_[], gg)) -> new_esEs20(xy30, xy400, gg) new_esEs21(Left(xy300), Left(xy4000), ty_@0, bah) -> new_esEs22(xy300, xy4000) new_esEs8(:%(xy300, xy301), :%(xy4000, xy4001), bg) -> new_asAs(new_esEs9(xy300, xy4000, bg), new_esEs10(xy301, xy4001, bg)) new_esEs26(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs5(xy30, xy400, app(ty_Maybe, hd)) -> new_esEs24(xy30, xy400, hd) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs11(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), ty_Bool, bah) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, ty_@0) -> new_esEs22(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), app(ty_Ratio, bba), bah) -> new_esEs8(xy300, xy4000, bba) new_esEs24(Just(xy300), Just(xy4000), ty_@0) -> new_esEs22(xy300, xy4000) new_esEs5(xy30, xy400, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs13(xy30, xy400, gd, ge, gf) new_esEs24(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs16(xy302, xy4002, ty_Integer) -> new_esEs11(xy302, xy4002) new_esEs11(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs15(xy301, xy4001, app(ty_Ratio, df)) -> new_esEs8(xy301, xy4001, df) new_esEs14(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs9(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs16(xy302, xy4002, ty_@0) -> new_esEs22(xy302, xy4002) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_Ratio, bcd)) -> new_esEs8(xy300, xy4000, bcd) new_esEs27(xy301, xy4001, app(ty_Ratio, bge)) -> new_esEs8(xy301, xy4001, bge) new_esEs25(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_primPlusNat1(Succ(xy3600), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3600, xy4001000))) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs14(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs26(xy300, xy4000, app(app(ty_Either, bfh), bga)) -> new_esEs21(xy300, xy4000, bfh, bga) new_esEs20([], [], bdf) -> True new_esEs27(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) new_esEs20(:(xy300, xy301), [], bdf) -> False new_esEs20([], :(xy4000, xy4001), bdf) -> False new_esEs25(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs25(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs16(xy302, xy4002, app(app(ty_@2, fh), ga)) -> new_esEs23(xy302, xy4002, fh, ga) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs26(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs12(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs15(xy301, xy4001, ty_Float) -> new_esEs17(xy301, xy4001) new_esEs14(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs15(xy301, xy4001, app(app(ty_Either, ec), ed)) -> new_esEs21(xy301, xy4001, ec, ed) new_esEs4(xy30, xy400, ty_Float) -> new_esEs17(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), ty_Int, bah) -> new_esEs12(xy300, xy4000) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy300, xy4000, app(ty_Ratio, bdg)) -> new_esEs8(xy300, xy4000, bdg) new_esEs27(xy301, xy4001, app(ty_Maybe, bhf)) -> new_esEs24(xy301, xy4001, bhf) new_esEs5(xy30, xy400, ty_@0) -> new_esEs22(xy30, xy400) new_esEs27(xy301, xy4001, app(ty_[], bha)) -> new_esEs20(xy301, xy4001, bha) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs5(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) new_esEs19(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs20(:(xy300, xy301), :(xy4000, xy4001), bdf) -> new_asAs(new_esEs25(xy300, xy4000, bdf), new_esEs20(xy301, xy4001, bdf)) new_esEs5(xy30, xy400, app(app(ty_@2, hb), hc)) -> new_esEs23(xy30, xy400, hb, hc) new_esEs9(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs18(False, True) -> False new_esEs18(True, False) -> False new_esEs21(Left(xy300), Left(xy4000), ty_Integer, bah) -> new_esEs11(xy300, xy4000) new_esEs27(xy301, xy4001, ty_Ordering) -> new_esEs7(xy301, xy4001) new_esEs14(xy300, xy4000, app(ty_[], cg)) -> new_esEs20(xy300, xy4000, cg) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(ty_@2, bdc), bdd)) -> new_esEs23(xy300, xy4000, bdc, bdd) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs14(xy300, xy4000, app(app(ty_@2, dc), dd)) -> new_esEs23(xy300, xy4000, dc, dd) new_esEs25(xy300, xy4000, app(ty_[], bec)) -> new_esEs20(xy300, xy4000, bec) new_primPlusNat0(Succ(xy360), xy400100) -> Succ(Succ(new_primPlusNat1(xy360, xy400100))) new_esEs25(xy300, xy4000, app(app(ty_Either, bed), bee)) -> new_esEs21(xy300, xy4000, bed, bee) new_esEs4(xy30, xy400, app(ty_Ratio, bg)) -> new_esEs8(xy30, xy400, bg) new_esEs4(xy30, xy400, app(app(ty_Either, bcc), bah)) -> new_esEs21(xy30, xy400, bcc, bah) new_esEs5(xy30, xy400, ty_Char) -> new_esEs6(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), ty_Float, bah) -> new_esEs17(xy300, xy4000) new_esEs23(@2(xy300, xy301), @2(xy4000, xy4001), bfa, bfb) -> new_asAs(new_esEs26(xy300, xy4000, bfa), new_esEs27(xy301, xy4001, bfb)) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) new_esEs7(LT, LT) -> True new_esEs15(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_esEs16(xy302, xy4002, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs13(xy302, xy4002, fa, fb, fc) new_esEs5(xy30, xy400, ty_Double) -> new_esEs19(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), app(app(ty_@2, bae), baf)) -> new_esEs23(xy300, xy4000, bae, baf) new_esEs26(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(ty_[], bbe), bah) -> new_esEs20(xy300, xy4000, bbe) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs7(EQ, GT) -> False new_esEs7(GT, EQ) -> False new_esEs16(xy302, xy4002, app(ty_[], fd)) -> new_esEs20(xy302, xy4002, fd) new_esEs7(EQ, EQ) -> True new_esEs4(xy30, xy400, app(ty_[], bdf)) -> new_esEs20(xy30, xy400, bdf) new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_[], bch)) -> new_esEs20(xy300, xy4000, bch) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_Maybe, bde)) -> new_esEs24(xy300, xy4000, bde) new_esEs24(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs27(xy301, xy4001, app(app(ty_@2, bhd), bhe)) -> new_esEs23(xy301, xy4001, bhd, bhe) new_esEs16(xy302, xy4002, ty_Ordering) -> new_esEs7(xy302, xy4002) new_esEs15(xy301, xy4001, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs13(xy301, xy4001, dg, dh, ea) new_esEs27(xy301, xy4001, ty_Float) -> new_esEs17(xy301, xy4001) new_esEs14(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs4(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs26(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs14(xy300, xy4000, app(app(app(ty_@3, cd), ce), cf)) -> new_esEs13(xy300, xy4000, cd, ce, cf) new_primPlusNat1(Succ(xy3600), Zero) -> Succ(xy3600) new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_esEs26(xy300, xy4000, app(app(ty_@2, bgb), bgc)) -> new_esEs23(xy300, xy4000, bgb, bgc) new_esEs24(Nothing, Nothing, he) -> True new_esEs15(xy301, xy4001, ty_Double) -> new_esEs19(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), ty_Double) -> new_esEs19(xy300, xy4000) new_esEs16(xy302, xy4002, ty_Int) -> new_esEs12(xy302, xy4002) new_esEs27(xy301, xy4001, ty_Char) -> new_esEs6(xy301, xy4001) new_esEs13(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), bh, ca, cb) -> new_asAs(new_esEs14(xy300, xy4000, bh), new_asAs(new_esEs15(xy301, xy4001, ca), new_esEs16(xy302, xy4002, cb))) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs14(xy300, xy4000, app(ty_Maybe, de)) -> new_esEs24(xy300, xy4000, de) new_esEs21(Left(xy300), Left(xy4000), ty_Double, bah) -> new_esEs19(xy300, xy4000) new_esEs4(xy30, xy400, ty_Double) -> new_esEs19(xy30, xy400) new_esEs27(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_primEqNat0(Zero, Zero) -> True new_esEs26(xy300, xy4000, app(ty_[], bfg)) -> new_esEs20(xy300, xy4000, bfg) new_esEs24(Nothing, Just(xy4000), he) -> False new_esEs24(Just(xy300), Nothing, he) -> False new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs15(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs16(xy302, xy4002, ty_Char) -> new_esEs6(xy302, xy4002) new_asAs(False, xy35) -> False new_esEs25(xy300, xy4000, app(ty_Maybe, beh)) -> new_esEs24(xy300, xy4000, beh) new_esEs15(xy301, xy4001, app(ty_[], eb)) -> new_esEs20(xy301, xy4001, eb) new_esEs25(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), ty_Char) -> new_esEs6(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(app(app(ty_@3, bbb), bbc), bbd), bah) -> new_esEs13(xy300, xy4000, bbb, bbc, bbd) new_esEs26(xy300, xy4000, app(app(app(ty_@3, bfd), bfe), bff)) -> new_esEs13(xy300, xy4000, bfd, bfe, bff) new_esEs16(xy302, xy4002, ty_Double) -> new_esEs19(xy302, xy4002) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs5(xy30, xy400, app(app(ty_Either, gh), ha)) -> new_esEs21(xy30, xy400, gh, ha) new_esEs10(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs15(xy301, xy4001, app(app(ty_@2, ee), ef)) -> new_esEs23(xy301, xy4001, ee, ef) new_esEs24(Just(xy300), Just(xy4000), ty_Float) -> new_esEs17(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(app(ty_@2, bbh), bca), bah) -> new_esEs23(xy300, xy4000, bbh, bca) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs7(GT, GT) -> True new_esEs4(xy30, xy400, ty_Char) -> new_esEs6(xy30, xy400) new_esEs25(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs7(xy30, xy400) The set Q consists of the following terms: new_esEs21(Right(x0), Right(x1), x2, ty_@0) new_esEs4(x0, x1, ty_Integer) new_esEs15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_@0) new_esEs7(EQ, EQ) new_esEs27(x0, x1, ty_Bool) new_esEs15(x0, x1, ty_Char) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_sr(Neg(x0), Neg(x1)) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Zero, Zero) new_esEs14(x0, x1, ty_Ordering) new_primPlusNat1(Zero, Zero) new_asAs(True, x0) new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs14(x0, x1, ty_Float) new_esEs14(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs18(True, True) new_esEs25(x0, x1, ty_Char) new_primMulNat0(Zero, Succ(x0)) new_esEs26(x0, x1, ty_@0) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs20(:(x0, x1), [], x2) new_esEs14(x0, x1, ty_Char) new_esEs14(x0, x1, ty_Double) new_esEs21(Left(x0), Left(x1), ty_Float, x2) new_esEs16(x0, x1, ty_Char) new_esEs24(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs21(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, ty_Int) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs7(LT, LT) new_esEs14(x0, x1, ty_Int) new_esEs21(Right(x0), Right(x1), x2, ty_Integer) new_esEs17(Float(x0, x1), Float(x2, x3)) new_esEs16(x0, x1, ty_@0) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs5(x0, x1, ty_Integer) new_esEs15(x0, x1, ty_Int) new_esEs24(Just(x0), Just(x1), ty_Integer) new_primPlusNat0(Succ(x0), x1) new_esEs21(Left(x0), Left(x1), ty_Ordering, x2) new_esEs24(Just(x0), Just(x1), ty_Float) new_esEs25(x0, x1, ty_Bool) new_sr(Pos(x0), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs11(Integer(x0), Integer(x1)) new_esEs15(x0, x1, ty_Double) new_esEs14(x0, x1, app(ty_[], x2)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs24(Just(x0), Just(x1), ty_Ordering) new_esEs15(x0, x1, ty_Ordering) new_esEs24(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs21(Left(x0), Left(x1), ty_Int, x2) new_esEs21(Left(x0), Right(x1), x2, x3) new_esEs21(Right(x0), Left(x1), x2, x3) new_esEs24(Nothing, Just(x0), x1) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Integer) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Bool) new_esEs25(x0, x1, ty_Int) new_esEs15(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Integer) new_esEs21(Left(x0), Left(x1), ty_Double, x2) new_esEs4(x0, x1, ty_Bool) new_esEs18(False, False) new_esEs25(x0, x1, ty_@0) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(@0, @0) new_esEs24(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs12(x0, x1) new_esEs23(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs20([], :(x0, x1), x2) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs24(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Int) new_esEs16(x0, x1, app(ty_Maybe, x2)) new_esEs15(x0, x1, app(ty_Ratio, x2)) new_esEs21(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Float) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs16(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, ty_Int) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, ty_Double) new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, ty_Float) new_esEs24(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs7(GT, GT) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(x0, x1, ty_Integer) new_esEs24(Just(x0), Just(x1), ty_Char) new_asAs(False, x0) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs27(x0, x1, ty_Float) new_esEs21(Right(x0), Right(x1), x2, ty_Double) new_esEs7(LT, EQ) new_esEs7(EQ, LT) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(x0, x1, app(ty_Ratio, x2)) new_primPlusNat0(Zero, x0) new_esEs15(x0, x1, ty_Integer) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs21(Left(x0), Left(x1), ty_Char, x2) new_esEs14(x0, x1, ty_Bool) new_esEs5(x0, x1, ty_Int) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Float) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs18(False, True) new_esEs18(True, False) new_esEs7(LT, GT) new_esEs7(GT, LT) new_esEs21(Left(x0), Left(x1), ty_@0, x2) new_esEs16(x0, x1, ty_Float) new_esEs14(x0, x1, ty_@0) new_esEs15(x0, x1, app(ty_[], x2)) new_esEs24(Just(x0), Just(x1), ty_Int) new_esEs5(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Integer) new_esEs16(x0, x1, ty_Ordering) new_esEs16(x0, x1, ty_Double) new_esEs26(x0, x1, ty_Double) new_esEs16(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(Right(x0), Right(x1), x2, ty_Int) new_esEs4(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(Just(x0), Just(x1), ty_@0) new_esEs27(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Char) new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, ty_Ordering) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs20(:(x0, x1), :(x2, x3), x4) new_esEs27(x0, x1, ty_Int) new_esEs19(Double(x0, x1), Double(x2, x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs16(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs24(Just(x0), Just(x1), ty_Bool) new_esEs21(Right(x0), Right(x1), x2, ty_Char) new_esEs7(EQ, GT) new_esEs7(GT, EQ) new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs6(Char(x0), Char(x1)) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs24(Just(x0), Just(x1), ty_Double) new_esEs16(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs15(x0, x1, ty_@0) new_esEs14(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, ty_@0) new_esEs26(x0, x1, ty_Float) new_primEqNat0(Succ(x0), Zero) new_esEs5(x0, x1, ty_@0) new_esEs27(x0, x1, ty_Integer) new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(x0, x1, ty_Integer) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs15(x0, x1, ty_Float) new_esEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs16(x0, x1, app(ty_Ratio, x2)) new_esEs16(x0, x1, ty_Bool) new_esEs20([], [], x0) new_esEs16(x0, x1, app(app(ty_Either, x2), x3)) new_esEs8(:%(x0, x1), :%(x2, x3), x4) new_esEs5(x0, x1, ty_Bool) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(Nothing, Nothing, x0) new_esEs5(x0, x1, ty_Double) new_esEs14(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs5(x0, x1, ty_Char) new_esEs24(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, ty_Ordering) new_esEs21(Right(x0), Right(x1), x2, ty_Bool) new_esEs24(Just(x0), Nothing, x1) new_esEs25(x0, x1, ty_Integer) new_esEs15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Int) new_primEqNat0(Zero, Succ(x0)) new_primPlusNat1(Succ(x0), Zero) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (16) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_deleteBy0(xy10, xy11, xy12, False, ba, bb) -> new_deleteBy(Left(xy12), xy10, ba, bb) The graph contains the following edges 1 >= 2, 5 >= 3, 6 >= 4 *new_deleteBy(Left(xy30), :(Right(xy400), xy41), bc, bd) -> new_deleteBy(Left(xy30), xy41, bc, bd) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 *new_deleteBy(Left(xy30), :(Left(xy400), xy41), bc, bd) -> new_deleteBy0(xy41, xy400, xy30, new_esEs4(xy30, xy400, bc), bc, bd) The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 3 >= 5, 4 >= 6 ---------------------------------------- (17) YES ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy(Right(xy30), :(Left(xy400), xy41), bc, bd) -> new_deleteBy(Right(xy30), xy41, bc, bd) new_deleteBy(Right(xy30), :(Right(xy400), xy41), bc, bd) -> new_deleteBy00(xy41, xy400, xy30, new_esEs5(xy30, xy400, bd), bc, bd) new_deleteBy00(xy19, xy20, xy21, False, be, bf) -> new_deleteBy(Right(xy21), xy19, be, bf) The TRS R consists of the following rules: new_esEs7(LT, GT) -> False new_esEs7(GT, LT) -> False new_esEs14(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs7(LT, EQ) -> False new_esEs7(EQ, LT) -> False new_esEs27(xy301, xy4001, app(app(app(ty_@3, bgf), bgg), bgh)) -> new_esEs13(xy301, xy4001, bgf, bgg, bgh) new_esEs18(True, True) -> True new_esEs27(xy301, xy4001, ty_Double) -> new_esEs19(xy301, xy4001) new_esEs25(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs27(xy301, xy4001, ty_@0) -> new_esEs22(xy301, xy4001) new_esEs25(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), app(app(ty_Either, bac), bad)) -> new_esEs21(xy300, xy4000, bac, bad) new_esEs17(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs14(xy300, xy4000, app(app(ty_Either, da), db)) -> new_esEs21(xy300, xy4000, da, db) new_esEs16(xy302, xy4002, ty_Float) -> new_esEs17(xy302, xy4002) new_esEs26(xy300, xy4000, app(ty_Maybe, bgd)) -> new_esEs24(xy300, xy4000, bgd) new_esEs5(xy30, xy400, app(ty_Ratio, gc)) -> new_esEs8(xy30, xy400, gc) new_esEs21(Left(xy300), Left(xy4000), ty_Ordering, bah) -> new_esEs7(xy300, xy4000) new_esEs5(xy30, xy400, ty_Float) -> new_esEs17(xy30, xy400) new_esEs26(xy300, xy4000, app(ty_Ratio, bfc)) -> new_esEs8(xy300, xy4000, bfc) new_esEs21(Left(xy300), Left(xy4000), ty_Char, bah) -> new_esEs6(xy300, xy4000) new_esEs25(xy300, xy4000, app(app(ty_@2, bef), beg)) -> new_esEs23(xy300, xy4000, bef, beg) new_esEs16(xy302, xy4002, app(ty_Ratio, eh)) -> new_esEs8(xy302, xy4002, eh) new_asAs(True, xy35) -> xy35 new_esEs4(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) new_esEs22(@0, @0) -> True new_esEs25(xy300, xy4000, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs13(xy300, xy4000, bdh, bea, beb) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs6(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs21(Left(xy300), Right(xy4000), bcc, bah) -> False new_esEs21(Right(xy300), Left(xy4000), bcc, bah) -> False new_esEs5(xy30, xy400, ty_Integer) -> new_esEs11(xy30, xy400) new_esEs5(xy30, xy400, ty_Ordering) -> new_esEs7(xy30, xy400) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs13(xy300, xy4000, bce, bcf, bcg) new_esEs15(xy301, xy4001, app(ty_Maybe, eg)) -> new_esEs24(xy301, xy4001, eg) new_esEs16(xy302, xy4002, app(app(ty_Either, ff), fg)) -> new_esEs21(xy302, xy4002, ff, fg) new_esEs14(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), ty_Int) -> new_esEs12(xy300, xy4000) new_esEs4(xy30, xy400, app(app(ty_@2, bfa), bfb)) -> new_esEs23(xy30, xy400, bfa, bfb) new_esEs18(False, False) -> True new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs4(xy30, xy400, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs13(xy30, xy400, bh, ca, cb) new_esEs14(xy300, xy4000, app(ty_Ratio, cc)) -> new_esEs8(xy300, xy4000, cc) new_esEs14(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs15(xy301, xy4001, ty_Char) -> new_esEs6(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), app(ty_Ratio, hf)) -> new_esEs8(xy300, xy4000, hf) new_esEs15(xy301, xy4001, ty_Ordering) -> new_esEs7(xy301, xy4001) new_esEs15(xy301, xy4001, ty_@0) -> new_esEs22(xy301, xy4001) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(ty_Either, bda), bdb)) -> new_esEs21(xy300, xy4000, bda, bdb) new_esEs5(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), app(ty_[], bab)) -> new_esEs20(xy300, xy4000, bab) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), app(ty_Maybe, bag)) -> new_esEs24(xy300, xy4000, bag) new_primMulNat0(Zero, Zero) -> Zero new_esEs16(xy302, xy4002, app(ty_Maybe, gb)) -> new_esEs24(xy302, xy4002, gb) new_esEs21(Left(xy300), Left(xy4000), app(ty_Maybe, bcb), bah) -> new_esEs24(xy300, xy4000, bcb) new_esEs21(Left(xy300), Left(xy4000), app(app(ty_Either, bbf), bbg), bah) -> new_esEs21(xy300, xy4000, bbf, bbg) new_esEs14(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs27(xy301, xy4001, app(app(ty_Either, bhb), bhc)) -> new_esEs21(xy301, xy4001, bhb, bhc) new_esEs10(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_esEs15(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), app(app(app(ty_@3, hg), hh), baa)) -> new_esEs13(xy300, xy4000, hg, hh, baa) new_esEs25(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs4(xy30, xy400, app(ty_Maybe, he)) -> new_esEs24(xy30, xy400, he) new_esEs26(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs27(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs16(xy302, xy4002, ty_Bool) -> new_esEs18(xy302, xy4002) new_esEs5(xy30, xy400, app(ty_[], gg)) -> new_esEs20(xy30, xy400, gg) new_esEs21(Left(xy300), Left(xy4000), ty_@0, bah) -> new_esEs22(xy300, xy4000) new_esEs8(:%(xy300, xy301), :%(xy4000, xy4001), bg) -> new_asAs(new_esEs9(xy300, xy4000, bg), new_esEs10(xy301, xy4001, bg)) new_esEs26(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs5(xy30, xy400, app(ty_Maybe, hd)) -> new_esEs24(xy30, xy400, hd) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs11(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), ty_Bool, bah) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, ty_@0) -> new_esEs22(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), app(ty_Ratio, bba), bah) -> new_esEs8(xy300, xy4000, bba) new_esEs24(Just(xy300), Just(xy4000), ty_@0) -> new_esEs22(xy300, xy4000) new_esEs5(xy30, xy400, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs13(xy30, xy400, gd, ge, gf) new_esEs24(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs16(xy302, xy4002, ty_Integer) -> new_esEs11(xy302, xy4002) new_esEs11(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs15(xy301, xy4001, app(ty_Ratio, df)) -> new_esEs8(xy301, xy4001, df) new_esEs14(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs9(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs16(xy302, xy4002, ty_@0) -> new_esEs22(xy302, xy4002) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_Ratio, bcd)) -> new_esEs8(xy300, xy4000, bcd) new_esEs27(xy301, xy4001, app(ty_Ratio, bge)) -> new_esEs8(xy301, xy4001, bge) new_esEs25(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_primPlusNat1(Succ(xy3600), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3600, xy4001000))) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs14(xy300, xy4000, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs26(xy300, xy4000, app(app(ty_Either, bfh), bga)) -> new_esEs21(xy300, xy4000, bfh, bga) new_esEs20([], [], bdf) -> True new_esEs27(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) new_esEs20(:(xy300, xy301), [], bdf) -> False new_esEs20([], :(xy4000, xy4001), bdf) -> False new_esEs25(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs25(xy300, xy4000, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs16(xy302, xy4002, app(app(ty_@2, fh), ga)) -> new_esEs23(xy302, xy4002, fh, ga) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs26(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs12(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs15(xy301, xy4001, ty_Float) -> new_esEs17(xy301, xy4001) new_esEs14(xy300, xy4000, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs15(xy301, xy4001, app(app(ty_Either, ec), ed)) -> new_esEs21(xy301, xy4001, ec, ed) new_esEs4(xy30, xy400, ty_Float) -> new_esEs17(xy30, xy400) new_esEs21(Left(xy300), Left(xy4000), ty_Int, bah) -> new_esEs12(xy300, xy4000) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy300, xy4000, app(ty_Ratio, bdg)) -> new_esEs8(xy300, xy4000, bdg) new_esEs27(xy301, xy4001, app(ty_Maybe, bhf)) -> new_esEs24(xy301, xy4001, bhf) new_esEs5(xy30, xy400, ty_@0) -> new_esEs22(xy30, xy400) new_esEs27(xy301, xy4001, app(ty_[], bha)) -> new_esEs20(xy301, xy4001, bha) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs5(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) new_esEs19(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs20(:(xy300, xy301), :(xy4000, xy4001), bdf) -> new_asAs(new_esEs25(xy300, xy4000, bdf), new_esEs20(xy301, xy4001, bdf)) new_esEs5(xy30, xy400, app(app(ty_@2, hb), hc)) -> new_esEs23(xy30, xy400, hb, hc) new_esEs9(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs18(False, True) -> False new_esEs18(True, False) -> False new_esEs21(Left(xy300), Left(xy4000), ty_Integer, bah) -> new_esEs11(xy300, xy4000) new_esEs27(xy301, xy4001, ty_Ordering) -> new_esEs7(xy301, xy4001) new_esEs14(xy300, xy4000, app(ty_[], cg)) -> new_esEs20(xy300, xy4000, cg) new_esEs21(Right(xy300), Right(xy4000), bcc, app(app(ty_@2, bdc), bdd)) -> new_esEs23(xy300, xy4000, bdc, bdd) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs14(xy300, xy4000, app(app(ty_@2, dc), dd)) -> new_esEs23(xy300, xy4000, dc, dd) new_esEs25(xy300, xy4000, app(ty_[], bec)) -> new_esEs20(xy300, xy4000, bec) new_primPlusNat0(Succ(xy360), xy400100) -> Succ(Succ(new_primPlusNat1(xy360, xy400100))) new_esEs25(xy300, xy4000, app(app(ty_Either, bed), bee)) -> new_esEs21(xy300, xy4000, bed, bee) new_esEs4(xy30, xy400, app(ty_Ratio, bg)) -> new_esEs8(xy30, xy400, bg) new_esEs4(xy30, xy400, app(app(ty_Either, bcc), bah)) -> new_esEs21(xy30, xy400, bcc, bah) new_esEs5(xy30, xy400, ty_Char) -> new_esEs6(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs18(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), ty_Float, bah) -> new_esEs17(xy300, xy4000) new_esEs23(@2(xy300, xy301), @2(xy4000, xy4001), bfa, bfb) -> new_asAs(new_esEs26(xy300, xy4000, bfa), new_esEs27(xy301, xy4001, bfb)) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) new_esEs7(LT, LT) -> True new_esEs15(xy301, xy4001, ty_Integer) -> new_esEs11(xy301, xy4001) new_esEs16(xy302, xy4002, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs13(xy302, xy4002, fa, fb, fc) new_esEs5(xy30, xy400, ty_Double) -> new_esEs19(xy30, xy400) new_esEs24(Just(xy300), Just(xy4000), app(app(ty_@2, bae), baf)) -> new_esEs23(xy300, xy4000, bae, baf) new_esEs26(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(ty_[], bbe), bah) -> new_esEs20(xy300, xy4000, bbe) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs7(EQ, GT) -> False new_esEs7(GT, EQ) -> False new_esEs16(xy302, xy4002, app(ty_[], fd)) -> new_esEs20(xy302, xy4002, fd) new_esEs7(EQ, EQ) -> True new_esEs4(xy30, xy400, app(ty_[], bdf)) -> new_esEs20(xy30, xy400, bdf) new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_[], bch)) -> new_esEs20(xy300, xy4000, bch) new_esEs21(Right(xy300), Right(xy4000), bcc, app(ty_Maybe, bde)) -> new_esEs24(xy300, xy4000, bde) new_esEs24(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Double) -> new_esEs19(xy300, xy4000) new_esEs27(xy301, xy4001, app(app(ty_@2, bhd), bhe)) -> new_esEs23(xy301, xy4001, bhd, bhe) new_esEs16(xy302, xy4002, ty_Ordering) -> new_esEs7(xy302, xy4002) new_esEs15(xy301, xy4001, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs13(xy301, xy4001, dg, dh, ea) new_esEs27(xy301, xy4001, ty_Float) -> new_esEs17(xy301, xy4001) new_esEs14(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs4(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs26(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs14(xy300, xy4000, app(app(app(ty_@3, cd), ce), cf)) -> new_esEs13(xy300, xy4000, cd, ce, cf) new_primPlusNat1(Succ(xy3600), Zero) -> Succ(xy3600) new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_esEs26(xy300, xy4000, app(app(ty_@2, bgb), bgc)) -> new_esEs23(xy300, xy4000, bgb, bgc) new_esEs24(Nothing, Nothing, he) -> True new_esEs15(xy301, xy4001, ty_Double) -> new_esEs19(xy301, xy4001) new_esEs24(Just(xy300), Just(xy4000), ty_Double) -> new_esEs19(xy300, xy4000) new_esEs16(xy302, xy4002, ty_Int) -> new_esEs12(xy302, xy4002) new_esEs27(xy301, xy4001, ty_Char) -> new_esEs6(xy301, xy4001) new_esEs13(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), bh, ca, cb) -> new_asAs(new_esEs14(xy300, xy4000, bh), new_asAs(new_esEs15(xy301, xy4001, ca), new_esEs16(xy302, xy4002, cb))) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs14(xy300, xy4000, app(ty_Maybe, de)) -> new_esEs24(xy300, xy4000, de) new_esEs21(Left(xy300), Left(xy4000), ty_Double, bah) -> new_esEs19(xy300, xy4000) new_esEs4(xy30, xy400, ty_Double) -> new_esEs19(xy30, xy400) new_esEs27(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_primEqNat0(Zero, Zero) -> True new_esEs26(xy300, xy4000, app(ty_[], bfg)) -> new_esEs20(xy300, xy4000, bfg) new_esEs24(Nothing, Just(xy4000), he) -> False new_esEs24(Just(xy300), Nothing, he) -> False new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Float) -> new_esEs17(xy300, xy4000) new_esEs15(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs16(xy302, xy4002, ty_Char) -> new_esEs6(xy302, xy4002) new_asAs(False, xy35) -> False new_esEs25(xy300, xy4000, app(ty_Maybe, beh)) -> new_esEs24(xy300, xy4000, beh) new_esEs15(xy301, xy4001, app(ty_[], eb)) -> new_esEs20(xy301, xy4001, eb) new_esEs25(xy300, xy4000, ty_@0) -> new_esEs22(xy300, xy4000) new_esEs24(Just(xy300), Just(xy4000), ty_Char) -> new_esEs6(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(app(app(ty_@3, bbb), bbc), bbd), bah) -> new_esEs13(xy300, xy4000, bbb, bbc, bbd) new_esEs26(xy300, xy4000, app(app(app(ty_@3, bfd), bfe), bff)) -> new_esEs13(xy300, xy4000, bfd, bfe, bff) new_esEs16(xy302, xy4002, ty_Double) -> new_esEs19(xy302, xy4002) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Ordering) -> new_esEs7(xy300, xy4000) new_esEs5(xy30, xy400, app(app(ty_Either, gh), ha)) -> new_esEs21(xy30, xy400, gh, ha) new_esEs10(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs15(xy301, xy4001, app(app(ty_@2, ee), ef)) -> new_esEs23(xy301, xy4001, ee, ef) new_esEs24(Just(xy300), Just(xy4000), ty_Float) -> new_esEs17(xy300, xy4000) new_esEs21(Left(xy300), Left(xy4000), app(app(ty_@2, bbh), bca), bah) -> new_esEs23(xy300, xy4000, bbh, bca) new_esEs21(Right(xy300), Right(xy4000), bcc, ty_Char) -> new_esEs6(xy300, xy4000) new_esEs7(GT, GT) -> True new_esEs4(xy30, xy400, ty_Char) -> new_esEs6(xy30, xy400) new_esEs25(xy300, xy4000, ty_Integer) -> new_esEs11(xy300, xy4000) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs7(xy30, xy400) The set Q consists of the following terms: new_esEs21(Right(x0), Right(x1), x2, ty_@0) new_esEs4(x0, x1, ty_Integer) new_esEs15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_@0) new_esEs7(EQ, EQ) new_esEs27(x0, x1, ty_Bool) new_esEs15(x0, x1, ty_Char) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_sr(Neg(x0), Neg(x1)) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Zero, Zero) new_esEs14(x0, x1, ty_Ordering) new_primPlusNat1(Zero, Zero) new_asAs(True, x0) new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs14(x0, x1, ty_Float) new_esEs14(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs18(True, True) new_esEs25(x0, x1, ty_Char) new_primMulNat0(Zero, Succ(x0)) new_esEs26(x0, x1, ty_@0) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs20(:(x0, x1), [], x2) new_esEs14(x0, x1, ty_Char) new_esEs14(x0, x1, ty_Double) new_esEs21(Left(x0), Left(x1), ty_Float, x2) new_esEs16(x0, x1, ty_Char) new_esEs24(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs21(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, ty_Int) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs7(LT, LT) new_esEs14(x0, x1, ty_Int) new_esEs21(Right(x0), Right(x1), x2, ty_Integer) new_esEs17(Float(x0, x1), Float(x2, x3)) new_esEs16(x0, x1, ty_@0) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs5(x0, x1, ty_Integer) new_esEs15(x0, x1, ty_Int) new_esEs24(Just(x0), Just(x1), ty_Integer) new_primPlusNat0(Succ(x0), x1) new_esEs21(Left(x0), Left(x1), ty_Ordering, x2) new_esEs24(Just(x0), Just(x1), ty_Float) new_esEs25(x0, x1, ty_Bool) new_sr(Pos(x0), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs11(Integer(x0), Integer(x1)) new_esEs15(x0, x1, ty_Double) new_esEs14(x0, x1, app(ty_[], x2)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs24(Just(x0), Just(x1), ty_Ordering) new_esEs15(x0, x1, ty_Ordering) new_esEs24(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs21(Left(x0), Left(x1), ty_Int, x2) new_esEs21(Left(x0), Right(x1), x2, x3) new_esEs21(Right(x0), Left(x1), x2, x3) new_esEs24(Nothing, Just(x0), x1) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Integer) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Bool) new_esEs25(x0, x1, ty_Int) new_esEs15(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Integer) new_esEs21(Left(x0), Left(x1), ty_Double, x2) new_esEs4(x0, x1, ty_Bool) new_esEs18(False, False) new_esEs25(x0, x1, ty_@0) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(@0, @0) new_esEs24(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs12(x0, x1) new_esEs23(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs20([], :(x0, x1), x2) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs24(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Int) new_esEs16(x0, x1, app(ty_Maybe, x2)) new_esEs15(x0, x1, app(ty_Ratio, x2)) new_esEs21(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Float) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs16(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, ty_Int) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, ty_Double) new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, ty_Float) new_esEs24(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs7(GT, GT) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(x0, x1, ty_Integer) new_esEs24(Just(x0), Just(x1), ty_Char) new_asAs(False, x0) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs27(x0, x1, ty_Float) new_esEs21(Right(x0), Right(x1), x2, ty_Double) new_esEs7(LT, EQ) new_esEs7(EQ, LT) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(x0, x1, app(ty_Ratio, x2)) new_primPlusNat0(Zero, x0) new_esEs15(x0, x1, ty_Integer) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs21(Left(x0), Left(x1), ty_Char, x2) new_esEs14(x0, x1, ty_Bool) new_esEs5(x0, x1, ty_Int) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Float) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs18(False, True) new_esEs18(True, False) new_esEs7(LT, GT) new_esEs7(GT, LT) new_esEs21(Left(x0), Left(x1), ty_@0, x2) new_esEs16(x0, x1, ty_Float) new_esEs14(x0, x1, ty_@0) new_esEs15(x0, x1, app(ty_[], x2)) new_esEs24(Just(x0), Just(x1), ty_Int) new_esEs5(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Integer) new_esEs16(x0, x1, ty_Ordering) new_esEs16(x0, x1, ty_Double) new_esEs26(x0, x1, ty_Double) new_esEs16(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(Right(x0), Right(x1), x2, ty_Int) new_esEs4(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(Just(x0), Just(x1), ty_@0) new_esEs27(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Char) new_esEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, ty_Ordering) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs20(:(x0, x1), :(x2, x3), x4) new_esEs27(x0, x1, ty_Int) new_esEs19(Double(x0, x1), Double(x2, x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs16(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs24(Just(x0), Just(x1), ty_Bool) new_esEs21(Right(x0), Right(x1), x2, ty_Char) new_esEs7(EQ, GT) new_esEs7(GT, EQ) new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs6(Char(x0), Char(x1)) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs24(Just(x0), Just(x1), ty_Double) new_esEs16(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs15(x0, x1, ty_@0) new_esEs14(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, ty_@0) new_esEs26(x0, x1, ty_Float) new_primEqNat0(Succ(x0), Zero) new_esEs5(x0, x1, ty_@0) new_esEs27(x0, x1, ty_Integer) new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(x0, x1, ty_Integer) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs15(x0, x1, ty_Float) new_esEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs16(x0, x1, app(ty_Ratio, x2)) new_esEs16(x0, x1, ty_Bool) new_esEs20([], [], x0) new_esEs16(x0, x1, app(app(ty_Either, x2), x3)) new_esEs8(:%(x0, x1), :%(x2, x3), x4) new_esEs5(x0, x1, ty_Bool) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(Nothing, Nothing, x0) new_esEs5(x0, x1, ty_Double) new_esEs14(x0, x1, app(ty_Maybe, x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs5(x0, x1, ty_Char) new_esEs24(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, ty_Ordering) new_esEs21(Right(x0), Right(x1), x2, ty_Bool) new_esEs24(Just(x0), Nothing, x1) new_esEs25(x0, x1, ty_Integer) new_esEs15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Int) new_primEqNat0(Zero, Succ(x0)) new_primPlusNat1(Succ(x0), Zero) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 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_deleteBy(Right(xy30), :(Left(xy400), xy41), bc, bd) -> new_deleteBy(Right(xy30), xy41, bc, bd) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 *new_deleteBy(Right(xy30), :(Right(xy400), xy41), bc, bd) -> new_deleteBy00(xy41, xy400, xy30, new_esEs5(xy30, xy400, bd), bc, bd) The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 3 >= 5, 4 >= 6 *new_deleteBy00(xy19, xy20, xy21, False, be, bf) -> new_deleteBy(Right(xy21), xy19, be, bf) The graph contains the following edges 1 >= 2, 5 >= 3, 6 >= 4 ---------------------------------------- (20) YES ---------------------------------------- (21) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) 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_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (23) YES ---------------------------------------- (24) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy3600), Succ(xy4001000)) -> new_primPlusNat(xy3600, xy4001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (25) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xy3600), Succ(xy4001000)) -> new_primPlusNat(xy3600, xy4001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (26) YES ---------------------------------------- (27) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (28) 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(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (29) YES