/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) IFR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4)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, 14 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) AND (9) QDP (10) DependencyGraphProof [EQUIVALENT, 0 ms] (11) AND (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] (14) YES (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (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="== :: Float -> Float -> 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="== :: Char -> Char -> 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="== :: Double -> Double -> 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="== :: (Maybe a) -> (Maybe a) -> 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="== :: (Ratio a) -> (Ratio a) -> 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="== :: (Either a b) -> (Either a b) -> 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="== :: Integer -> Integer -> 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="== :: ((@3) a b c) -> ((@3) a b c) -> 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="== :: Int -> Int -> 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="== :: Ordering -> Ordering -> 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="== :: () -> () -> 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="== :: Bool -> Bool -> 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="== :: ([] a) -> ([] a) -> 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="== :: Float -> Float -> 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="== :: Char -> Char -> 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="== :: Double -> Double -> 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="== :: (Maybe a) -> (Maybe a) -> 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="== :: (Ratio a) -> (Ratio a) -> 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="== :: (Either a b) -> (Either a b) -> 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="== :: Integer -> Integer -> 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="== :: ((@3) a b c) -> ((@3) a b c) -> 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="== :: Int -> Int -> 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="== :: Ordering -> Ordering -> 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="== :: () -> () -> 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="== :: Bool -> Bool -> 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="== :: ([] a) -> ([] a) -> 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="black",shape="triangle"];33 -> 67[label="",style="solid", color="black", weight=3]; 34[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];34 -> 68[label="",style="solid", color="black", weight=3]; 35[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];790[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];35 -> 790[label="",style="solid", color="burlywood", weight=9]; 790 -> 69[label="",style="solid", color="burlywood", weight=3]; 791[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];35 -> 791[label="",style="solid", color="burlywood", weight=9]; 791 -> 70[label="",style="solid", color="burlywood", weight=3]; 36[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];792[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];36 -> 792[label="",style="solid", color="burlywood", weight=9]; 792 -> 71[label="",style="solid", color="burlywood", weight=3]; 37[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];793[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];37 -> 793[label="",style="solid", color="burlywood", weight=9]; 793 -> 72[label="",style="solid", color="burlywood", weight=3]; 794[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];37 -> 794[label="",style="solid", color="burlywood", weight=9]; 794 -> 73[label="",style="solid", color="burlywood", weight=3]; 38[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];795[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];38 -> 795[label="",style="solid", color="burlywood", weight=9]; 795 -> 74[label="",style="solid", color="burlywood", weight=3]; 39[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];796[label="xy30/(xy300,xy301,xy302)",fontsize=10,color="white",style="solid",shape="box"];39 -> 796[label="",style="solid", color="burlywood", weight=9]; 796 -> 75[label="",style="solid", color="burlywood", weight=3]; 40[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];40 -> 76[label="",style="solid", color="black", weight=3]; 41[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];797[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];41 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 77[label="",style="solid", color="burlywood", weight=3]; 798[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];41 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 78[label="",style="solid", color="burlywood", weight=3]; 799[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];41 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 79[label="",style="solid", color="burlywood", weight=3]; 42[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];800[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];42 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 80[label="",style="solid", color="burlywood", weight=3]; 43[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];801[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];43 -> 801[label="",style="solid", color="burlywood", weight=9]; 801 -> 81[label="",style="solid", color="burlywood", weight=3]; 44[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];802[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];44 -> 802[label="",style="solid", color="burlywood", weight=9]; 802 -> 82[label="",style="solid", color="burlywood", weight=3]; 803[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];44 -> 803[label="",style="solid", color="burlywood", weight=9]; 803 -> 83[label="",style="solid", color="burlywood", weight=3]; 45[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];804[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];45 -> 804[label="",style="solid", color="burlywood", weight=9]; 804 -> 84[label="",style="solid", color="burlywood", weight=3]; 805[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];45 -> 805[label="",style="solid", color="burlywood", weight=9]; 805 -> 85[label="",style="solid", color="burlywood", 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="primEqFloat xy30 xy400",fontsize=16,color="burlywood",shape="box"];806[label="xy30/Float xy300 xy301",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="primEqChar xy30 xy400",fontsize=16,color="burlywood",shape="box"];807[label="xy30/Char xy300",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]; 68[label="primEqDouble xy30 xy400",fontsize=16,color="burlywood",shape="box"];808[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];68 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 124[label="",style="solid", color="burlywood", weight=3]; 69[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];809[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];69 -> 809[label="",style="solid", color="burlywood", weight=9]; 809 -> 125[label="",style="solid", color="burlywood", weight=3]; 810[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];69 -> 810[label="",style="solid", color="burlywood", weight=9]; 810 -> 126[label="",style="solid", color="burlywood", weight=3]; 70[label="Just xy300 == xy400",fontsize=16,color="burlywood",shape="box"];811[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];70 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 127[label="",style="solid", color="burlywood", weight=3]; 812[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];70 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 128[label="",style="solid", color="burlywood", weight=3]; 71[label="xy300 :% xy301 == xy400",fontsize=16,color="burlywood",shape="box"];813[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];71 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 129[label="",style="solid", color="burlywood", weight=3]; 72[label="Left xy300 == xy400",fontsize=16,color="burlywood",shape="box"];814[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];72 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 130[label="",style="solid", color="burlywood", weight=3]; 815[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];72 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 131[label="",style="solid", color="burlywood", weight=3]; 73[label="Right xy300 == xy400",fontsize=16,color="burlywood",shape="box"];816[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];73 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 132[label="",style="solid", color="burlywood", weight=3]; 817[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];73 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 133[label="",style="solid", color="burlywood", weight=3]; 74[label="Integer xy300 == xy400",fontsize=16,color="burlywood",shape="box"];818[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];74 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 134[label="",style="solid", color="burlywood", weight=3]; 75[label="(xy300,xy301,xy302) == xy400",fontsize=16,color="burlywood",shape="box"];819[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];75 -> 819[label="",style="solid", color="burlywood", weight=9]; 819 -> 135[label="",style="solid", color="burlywood", weight=3]; 76[label="primEqInt xy30 xy400",fontsize=16,color="burlywood",shape="triangle"];820[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];76 -> 820[label="",style="solid", color="burlywood", weight=9]; 820 -> 136[label="",style="solid", color="burlywood", weight=3]; 821[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];76 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 137[label="",style="solid", color="burlywood", weight=3]; 77[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];822[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];77 -> 822[label="",style="solid", color="burlywood", weight=9]; 822 -> 138[label="",style="solid", color="burlywood", weight=3]; 823[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];77 -> 823[label="",style="solid", color="burlywood", weight=9]; 823 -> 139[label="",style="solid", color="burlywood", weight=3]; 824[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];77 -> 824[label="",style="solid", color="burlywood", weight=9]; 824 -> 140[label="",style="solid", color="burlywood", weight=3]; 78[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];825[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];78 -> 825[label="",style="solid", color="burlywood", weight=9]; 825 -> 141[label="",style="solid", color="burlywood", weight=3]; 826[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];78 -> 826[label="",style="solid", color="burlywood", weight=9]; 826 -> 142[label="",style="solid", color="burlywood", weight=3]; 827[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];78 -> 827[label="",style="solid", color="burlywood", weight=9]; 827 -> 143[label="",style="solid", color="burlywood", weight=3]; 79[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];828[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];79 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 144[label="",style="solid", color="burlywood", weight=3]; 829[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];79 -> 829[label="",style="solid", color="burlywood", weight=9]; 829 -> 145[label="",style="solid", color="burlywood", weight=3]; 830[label="xy400/GT",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]; 80[label="() == xy400",fontsize=16,color="burlywood",shape="box"];831[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];80 -> 831[label="",style="solid", color="burlywood", weight=9]; 831 -> 147[label="",style="solid", color="burlywood", weight=3]; 81[label="(xy300,xy301) == xy400",fontsize=16,color="burlywood",shape="box"];832[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];81 -> 832[label="",style="solid", color="burlywood", weight=9]; 832 -> 148[label="",style="solid", color="burlywood", weight=3]; 82[label="False == xy400",fontsize=16,color="burlywood",shape="box"];833[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];82 -> 833[label="",style="solid", color="burlywood", weight=9]; 833 -> 149[label="",style="solid", color="burlywood", weight=3]; 834[label="xy400/True",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="True == xy400",fontsize=16,color="burlywood",shape="box"];835[label="xy400/False",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/True",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="xy300 : xy301 == xy400",fontsize=16,color="burlywood",shape="box"];837[label="xy400/xy4000 : xy4001",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/[]",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="[] == xy400",fontsize=16,color="burlywood",shape="box"];839[label="xy400/xy4000 : xy4001",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="xy400/[]",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="primEqFloat (Float xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];841[label="xy400/Float xy4000 xy4001",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="primEqChar (Char xy300) xy400",fontsize=16,color="burlywood",shape="box"];842[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];123 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 160[label="",style="solid", color="burlywood", weight=3]; 124[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"];124 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 161[label="",style="solid", color="burlywood", weight=3]; 125[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];125 -> 162[label="",style="solid", color="black", weight=3]; 126[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];126 -> 163[label="",style="solid", color="black", weight=3]; 127[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];127 -> 164[label="",style="solid", color="black", weight=3]; 128[label="Just xy300 == Just xy4000",fontsize=16,color="black",shape="box"];128 -> 165[label="",style="solid", color="black", weight=3]; 129[label="xy300 :% xy301 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];129 -> 166[label="",style="solid", color="black", weight=3]; 130[label="Left xy300 == Left xy4000",fontsize=16,color="black",shape="box"];130 -> 167[label="",style="solid", color="black", weight=3]; 131[label="Left xy300 == Right xy4000",fontsize=16,color="black",shape="box"];131 -> 168[label="",style="solid", color="black", weight=3]; 132[label="Right xy300 == Left xy4000",fontsize=16,color="black",shape="box"];132 -> 169[label="",style="solid", color="black", weight=3]; 133[label="Right xy300 == Right xy4000",fontsize=16,color="black",shape="box"];133 -> 170[label="",style="solid", color="black", weight=3]; 134[label="Integer xy300 == Integer xy4000",fontsize=16,color="black",shape="box"];134 -> 171[label="",style="solid", color="black", weight=3]; 135[label="(xy300,xy301,xy302) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];135 -> 172[label="",style="solid", color="black", weight=3]; 136[label="primEqInt (Pos xy300) xy400",fontsize=16,color="burlywood",shape="box"];844[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];136 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 173[label="",style="solid", color="burlywood", weight=3]; 845[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];136 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 174[label="",style="solid", color="burlywood", weight=3]; 137[label="primEqInt (Neg xy300) xy400",fontsize=16,color="burlywood",shape="box"];846[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];137 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 175[label="",style="solid", color="burlywood", weight=3]; 847[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];137 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 176[label="",style="solid", color="burlywood", weight=3]; 138[label="LT == LT",fontsize=16,color="black",shape="box"];138 -> 177[label="",style="solid", color="black", weight=3]; 139[label="LT == EQ",fontsize=16,color="black",shape="box"];139 -> 178[label="",style="solid", color="black", weight=3]; 140[label="LT == GT",fontsize=16,color="black",shape="box"];140 -> 179[label="",style="solid", color="black", weight=3]; 141[label="EQ == LT",fontsize=16,color="black",shape="box"];141 -> 180[label="",style="solid", color="black", weight=3]; 142[label="EQ == EQ",fontsize=16,color="black",shape="box"];142 -> 181[label="",style="solid", color="black", weight=3]; 143[label="EQ == GT",fontsize=16,color="black",shape="box"];143 -> 182[label="",style="solid", color="black", weight=3]; 144[label="GT == LT",fontsize=16,color="black",shape="box"];144 -> 183[label="",style="solid", color="black", weight=3]; 145[label="GT == EQ",fontsize=16,color="black",shape="box"];145 -> 184[label="",style="solid", color="black", weight=3]; 146[label="GT == GT",fontsize=16,color="black",shape="box"];146 -> 185[label="",style="solid", color="black", weight=3]; 147[label="() == ()",fontsize=16,color="black",shape="box"];147 -> 186[label="",style="solid", color="black", weight=3]; 148[label="(xy300,xy301) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];148 -> 187[label="",style="solid", color="black", weight=3]; 149[label="False == False",fontsize=16,color="black",shape="box"];149 -> 188[label="",style="solid", color="black", weight=3]; 150[label="False == True",fontsize=16,color="black",shape="box"];150 -> 189[label="",style="solid", color="black", weight=3]; 151[label="True == False",fontsize=16,color="black",shape="box"];151 -> 190[label="",style="solid", color="black", weight=3]; 152[label="True == True",fontsize=16,color="black",shape="box"];152 -> 191[label="",style="solid", color="black", weight=3]; 153[label="xy300 : xy301 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];153 -> 192[label="",style="solid", color="black", weight=3]; 154[label="xy300 : xy301 == []",fontsize=16,color="black",shape="box"];154 -> 193[label="",style="solid", color="black", weight=3]; 155[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];155 -> 194[label="",style="solid", color="black", weight=3]; 156[label="[] == []",fontsize=16,color="black",shape="box"];156 -> 195[label="",style="solid", color="black", 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="primEqFloat (Float xy300 xy301) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];159 -> 200[label="",style="solid", color="black", weight=3]; 160[label="primEqChar (Char xy300) (Char xy4000)",fontsize=16,color="black",shape="box"];160 -> 201[label="",style="solid", color="black", weight=3]; 161[label="primEqDouble (Double xy300 xy301) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];161 -> 202[label="",style="solid", color="black", weight=3]; 162[label="True",fontsize=16,color="green",shape="box"];163[label="False",fontsize=16,color="green",shape="box"];164[label="False",fontsize=16,color="green",shape="box"];165[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];848[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 203[label="",style="solid", color="blue", weight=3]; 849[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 204[label="",style="solid", color="blue", weight=3]; 850[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 205[label="",style="solid", color="blue", weight=3]; 851[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 206[label="",style="solid", color="blue", weight=3]; 852[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 207[label="",style="solid", color="blue", weight=3]; 853[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 208[label="",style="solid", color="blue", weight=3]; 854[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 209[label="",style="solid", color="blue", weight=3]; 855[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 210[label="",style="solid", color="blue", weight=3]; 856[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 211[label="",style="solid", color="blue", weight=3]; 857[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 212[label="",style="solid", color="blue", weight=3]; 858[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 213[label="",style="solid", color="blue", weight=3]; 859[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 214[label="",style="solid", color="blue", weight=3]; 860[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 215[label="",style="solid", color="blue", weight=3]; 861[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];165 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 216[label="",style="solid", color="blue", weight=3]; 166 -> 312[label="",style="dashed", color="red", weight=0]; 166[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];166 -> 313[label="",style="dashed", color="magenta", weight=3]; 166 -> 314[label="",style="dashed", color="magenta", weight=3]; 167[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];862[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 227[label="",style="solid", color="blue", weight=3]; 863[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 228[label="",style="solid", color="blue", weight=3]; 864[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 229[label="",style="solid", color="blue", weight=3]; 865[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 230[label="",style="solid", color="blue", weight=3]; 866[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 231[label="",style="solid", color="blue", weight=3]; 867[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 232[label="",style="solid", color="blue", weight=3]; 868[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 233[label="",style="solid", color="blue", weight=3]; 869[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 234[label="",style="solid", color="blue", weight=3]; 870[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 235[label="",style="solid", color="blue", weight=3]; 871[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 236[label="",style="solid", color="blue", weight=3]; 872[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 237[label="",style="solid", color="blue", weight=3]; 873[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 238[label="",style="solid", color="blue", weight=3]; 874[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 239[label="",style="solid", color="blue", weight=3]; 875[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];167 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 240[label="",style="solid", color="blue", weight=3]; 168[label="False",fontsize=16,color="green",shape="box"];169[label="False",fontsize=16,color="green",shape="box"];170[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];876[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 241[label="",style="solid", color="blue", weight=3]; 877[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 242[label="",style="solid", color="blue", weight=3]; 878[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 243[label="",style="solid", color="blue", weight=3]; 879[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 244[label="",style="solid", color="blue", weight=3]; 880[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 245[label="",style="solid", color="blue", weight=3]; 881[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 246[label="",style="solid", color="blue", weight=3]; 882[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 247[label="",style="solid", color="blue", weight=3]; 883[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 248[label="",style="solid", color="blue", weight=3]; 884[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 249[label="",style="solid", color="blue", weight=3]; 885[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 250[label="",style="solid", color="blue", weight=3]; 886[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 251[label="",style="solid", color="blue", weight=3]; 887[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 252[label="",style="solid", color="blue", weight=3]; 888[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 253[label="",style="solid", color="blue", weight=3]; 889[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];170 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 254[label="",style="solid", color="blue", weight=3]; 171 -> 76[label="",style="dashed", color="red", weight=0]; 171[label="primEqInt xy300 xy4000",fontsize=16,color="magenta"];171 -> 255[label="",style="dashed", color="magenta", weight=3]; 171 -> 256[label="",style="dashed", color="magenta", weight=3]; 172 -> 312[label="",style="dashed", color="red", weight=0]; 172[label="xy300 == xy4000 && xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];172 -> 315[label="",style="dashed", color="magenta", weight=3]; 172 -> 316[label="",style="dashed", color="magenta", weight=3]; 173[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"];173 -> 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"];173 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 269[label="",style="solid", color="burlywood", weight=3]; 174[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];892[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];174 -> 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"];174 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 271[label="",style="solid", color="burlywood", weight=3]; 175[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"];175 -> 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"];175 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 273[label="",style="solid", color="burlywood", weight=3]; 176[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];896[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];176 -> 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"];176 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 275[label="",style="solid", color="burlywood", weight=3]; 177[label="True",fontsize=16,color="green",shape="box"];178[label="False",fontsize=16,color="green",shape="box"];179[label="False",fontsize=16,color="green",shape="box"];180[label="False",fontsize=16,color="green",shape="box"];181[label="True",fontsize=16,color="green",shape="box"];182[label="False",fontsize=16,color="green",shape="box"];183[label="False",fontsize=16,color="green",shape="box"];184[label="False",fontsize=16,color="green",shape="box"];185[label="True",fontsize=16,color="green",shape="box"];186[label="True",fontsize=16,color="green",shape="box"];187 -> 312[label="",style="dashed", color="red", weight=0]; 187[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];187 -> 317[label="",style="dashed", color="magenta", weight=3]; 187 -> 318[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="True",fontsize=16,color="green",shape="box"];192 -> 312[label="",style="dashed", color="red", weight=0]; 192[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];192 -> 319[label="",style="dashed", color="magenta", weight=3]; 192 -> 320[label="",style="dashed", color="magenta", weight=3]; 193[label="False",fontsize=16,color="green",shape="box"];194[label="False",fontsize=16,color="green",shape="box"];195[label="True",fontsize=16,color="green",shape="box"];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 -> 40[label="",style="dashed", color="red", weight=0]; 200[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];200 -> 276[label="",style="dashed", color="magenta", weight=3]; 200 -> 277[label="",style="dashed", color="magenta", weight=3]; 201[label="primEqNat xy300 xy4000",fontsize=16,color="burlywood",shape="triangle"];898[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];201 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 278[label="",style="solid", color="burlywood", weight=3]; 899[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];201 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 279[label="",style="solid", color="burlywood", weight=3]; 202 -> 40[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]; 203 -> 32[label="",style="dashed", color="red", weight=0]; 203[label="xy300 == xy4000",fontsize=16,color="magenta"];203 -> 282[label="",style="dashed", color="magenta", weight=3]; 203 -> 283[label="",style="dashed", color="magenta", weight=3]; 204 -> 33[label="",style="dashed", color="red", weight=0]; 204[label="xy300 == xy4000",fontsize=16,color="magenta"];204 -> 284[label="",style="dashed", color="magenta", weight=3]; 204 -> 285[label="",style="dashed", color="magenta", weight=3]; 205 -> 34[label="",style="dashed", color="red", weight=0]; 205[label="xy300 == xy4000",fontsize=16,color="magenta"];205 -> 286[label="",style="dashed", color="magenta", weight=3]; 205 -> 287[label="",style="dashed", color="magenta", weight=3]; 206 -> 35[label="",style="dashed", color="red", weight=0]; 206[label="xy300 == xy4000",fontsize=16,color="magenta"];206 -> 288[label="",style="dashed", color="magenta", weight=3]; 206 -> 289[label="",style="dashed", color="magenta", weight=3]; 207 -> 36[label="",style="dashed", color="red", weight=0]; 207[label="xy300 == xy4000",fontsize=16,color="magenta"];207 -> 290[label="",style="dashed", color="magenta", weight=3]; 207 -> 291[label="",style="dashed", color="magenta", weight=3]; 208 -> 37[label="",style="dashed", color="red", weight=0]; 208[label="xy300 == xy4000",fontsize=16,color="magenta"];208 -> 292[label="",style="dashed", color="magenta", weight=3]; 208 -> 293[label="",style="dashed", color="magenta", weight=3]; 209 -> 38[label="",style="dashed", color="red", weight=0]; 209[label="xy300 == xy4000",fontsize=16,color="magenta"];209 -> 294[label="",style="dashed", color="magenta", weight=3]; 209 -> 295[label="",style="dashed", color="magenta", weight=3]; 210 -> 39[label="",style="dashed", color="red", weight=0]; 210[label="xy300 == xy4000",fontsize=16,color="magenta"];210 -> 296[label="",style="dashed", color="magenta", weight=3]; 210 -> 297[label="",style="dashed", color="magenta", weight=3]; 211 -> 40[label="",style="dashed", color="red", weight=0]; 211[label="xy300 == xy4000",fontsize=16,color="magenta"];211 -> 298[label="",style="dashed", color="magenta", weight=3]; 211 -> 299[label="",style="dashed", color="magenta", weight=3]; 212 -> 41[label="",style="dashed", color="red", weight=0]; 212[label="xy300 == xy4000",fontsize=16,color="magenta"];212 -> 300[label="",style="dashed", color="magenta", weight=3]; 212 -> 301[label="",style="dashed", color="magenta", weight=3]; 213 -> 42[label="",style="dashed", color="red", weight=0]; 213[label="xy300 == xy4000",fontsize=16,color="magenta"];213 -> 302[label="",style="dashed", color="magenta", weight=3]; 213 -> 303[label="",style="dashed", color="magenta", weight=3]; 214 -> 43[label="",style="dashed", color="red", weight=0]; 214[label="xy300 == xy4000",fontsize=16,color="magenta"];214 -> 304[label="",style="dashed", color="magenta", weight=3]; 214 -> 305[label="",style="dashed", color="magenta", weight=3]; 215 -> 44[label="",style="dashed", color="red", weight=0]; 215[label="xy300 == xy4000",fontsize=16,color="magenta"];215 -> 306[label="",style="dashed", color="magenta", weight=3]; 215 -> 307[label="",style="dashed", color="magenta", weight=3]; 216 -> 45[label="",style="dashed", color="red", weight=0]; 216[label="xy300 == xy4000",fontsize=16,color="magenta"];216 -> 308[label="",style="dashed", color="magenta", weight=3]; 216 -> 309[label="",style="dashed", color="magenta", weight=3]; 313[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];900[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 325[label="",style="solid", color="blue", weight=3]; 901[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];313 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 326[label="",style="solid", color="blue", weight=3]; 314[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];902[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 327[label="",style="solid", color="blue", weight=3]; 903[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 328[label="",style="solid", color="blue", weight=3]; 312[label="xy34 && xy35",fontsize=16,color="burlywood",shape="triangle"];904[label="xy34/False",fontsize=10,color="white",style="solid",shape="box"];312 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 329[label="",style="solid", color="burlywood", weight=3]; 905[label="xy34/True",fontsize=10,color="white",style="solid",shape="box"];312 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 330[label="",style="solid", color="burlywood", weight=3]; 227 -> 32[label="",style="dashed", color="red", weight=0]; 227[label="xy300 == xy4000",fontsize=16,color="magenta"];227 -> 331[label="",style="dashed", color="magenta", weight=3]; 227 -> 332[label="",style="dashed", color="magenta", weight=3]; 228 -> 33[label="",style="dashed", color="red", weight=0]; 228[label="xy300 == xy4000",fontsize=16,color="magenta"];228 -> 333[label="",style="dashed", color="magenta", weight=3]; 228 -> 334[label="",style="dashed", color="magenta", weight=3]; 229 -> 34[label="",style="dashed", color="red", weight=0]; 229[label="xy300 == xy4000",fontsize=16,color="magenta"];229 -> 335[label="",style="dashed", color="magenta", weight=3]; 229 -> 336[label="",style="dashed", color="magenta", weight=3]; 230 -> 35[label="",style="dashed", color="red", weight=0]; 230[label="xy300 == xy4000",fontsize=16,color="magenta"];230 -> 337[label="",style="dashed", color="magenta", weight=3]; 230 -> 338[label="",style="dashed", color="magenta", weight=3]; 231 -> 36[label="",style="dashed", color="red", weight=0]; 231[label="xy300 == xy4000",fontsize=16,color="magenta"];231 -> 339[label="",style="dashed", color="magenta", weight=3]; 231 -> 340[label="",style="dashed", color="magenta", weight=3]; 232 -> 37[label="",style="dashed", color="red", weight=0]; 232[label="xy300 == xy4000",fontsize=16,color="magenta"];232 -> 341[label="",style="dashed", color="magenta", weight=3]; 232 -> 342[label="",style="dashed", color="magenta", weight=3]; 233 -> 38[label="",style="dashed", color="red", weight=0]; 233[label="xy300 == xy4000",fontsize=16,color="magenta"];233 -> 343[label="",style="dashed", color="magenta", weight=3]; 233 -> 344[label="",style="dashed", color="magenta", weight=3]; 234 -> 39[label="",style="dashed", color="red", weight=0]; 234[label="xy300 == xy4000",fontsize=16,color="magenta"];234 -> 345[label="",style="dashed", color="magenta", weight=3]; 234 -> 346[label="",style="dashed", color="magenta", weight=3]; 235 -> 40[label="",style="dashed", color="red", weight=0]; 235[label="xy300 == xy4000",fontsize=16,color="magenta"];235 -> 347[label="",style="dashed", color="magenta", weight=3]; 235 -> 348[label="",style="dashed", color="magenta", weight=3]; 236 -> 41[label="",style="dashed", color="red", weight=0]; 236[label="xy300 == xy4000",fontsize=16,color="magenta"];236 -> 349[label="",style="dashed", color="magenta", weight=3]; 236 -> 350[label="",style="dashed", color="magenta", weight=3]; 237 -> 42[label="",style="dashed", color="red", weight=0]; 237[label="xy300 == xy4000",fontsize=16,color="magenta"];237 -> 351[label="",style="dashed", color="magenta", weight=3]; 237 -> 352[label="",style="dashed", color="magenta", weight=3]; 238 -> 43[label="",style="dashed", color="red", weight=0]; 238[label="xy300 == xy4000",fontsize=16,color="magenta"];238 -> 353[label="",style="dashed", color="magenta", weight=3]; 238 -> 354[label="",style="dashed", color="magenta", weight=3]; 239 -> 44[label="",style="dashed", color="red", weight=0]; 239[label="xy300 == xy4000",fontsize=16,color="magenta"];239 -> 355[label="",style="dashed", color="magenta", weight=3]; 239 -> 356[label="",style="dashed", color="magenta", weight=3]; 240 -> 45[label="",style="dashed", color="red", weight=0]; 240[label="xy300 == xy4000",fontsize=16,color="magenta"];240 -> 357[label="",style="dashed", color="magenta", weight=3]; 240 -> 358[label="",style="dashed", color="magenta", weight=3]; 241 -> 32[label="",style="dashed", color="red", weight=0]; 241[label="xy300 == xy4000",fontsize=16,color="magenta"];241 -> 359[label="",style="dashed", color="magenta", weight=3]; 241 -> 360[label="",style="dashed", color="magenta", weight=3]; 242 -> 33[label="",style="dashed", color="red", weight=0]; 242[label="xy300 == xy4000",fontsize=16,color="magenta"];242 -> 361[label="",style="dashed", color="magenta", weight=3]; 242 -> 362[label="",style="dashed", color="magenta", weight=3]; 243 -> 34[label="",style="dashed", color="red", weight=0]; 243[label="xy300 == xy4000",fontsize=16,color="magenta"];243 -> 363[label="",style="dashed", color="magenta", weight=3]; 243 -> 364[label="",style="dashed", color="magenta", weight=3]; 244 -> 35[label="",style="dashed", color="red", weight=0]; 244[label="xy300 == xy4000",fontsize=16,color="magenta"];244 -> 365[label="",style="dashed", color="magenta", weight=3]; 244 -> 366[label="",style="dashed", color="magenta", weight=3]; 245 -> 36[label="",style="dashed", color="red", weight=0]; 245[label="xy300 == xy4000",fontsize=16,color="magenta"];245 -> 367[label="",style="dashed", color="magenta", weight=3]; 245 -> 368[label="",style="dashed", color="magenta", weight=3]; 246 -> 37[label="",style="dashed", color="red", weight=0]; 246[label="xy300 == xy4000",fontsize=16,color="magenta"];246 -> 369[label="",style="dashed", color="magenta", weight=3]; 246 -> 370[label="",style="dashed", color="magenta", weight=3]; 247 -> 38[label="",style="dashed", color="red", weight=0]; 247[label="xy300 == xy4000",fontsize=16,color="magenta"];247 -> 371[label="",style="dashed", color="magenta", weight=3]; 247 -> 372[label="",style="dashed", color="magenta", weight=3]; 248 -> 39[label="",style="dashed", color="red", weight=0]; 248[label="xy300 == xy4000",fontsize=16,color="magenta"];248 -> 373[label="",style="dashed", color="magenta", weight=3]; 248 -> 374[label="",style="dashed", color="magenta", weight=3]; 249 -> 40[label="",style="dashed", color="red", weight=0]; 249[label="xy300 == xy4000",fontsize=16,color="magenta"];249 -> 375[label="",style="dashed", color="magenta", weight=3]; 249 -> 376[label="",style="dashed", color="magenta", weight=3]; 250 -> 41[label="",style="dashed", color="red", weight=0]; 250[label="xy300 == xy4000",fontsize=16,color="magenta"];250 -> 377[label="",style="dashed", color="magenta", weight=3]; 250 -> 378[label="",style="dashed", color="magenta", weight=3]; 251 -> 42[label="",style="dashed", color="red", weight=0]; 251[label="xy300 == xy4000",fontsize=16,color="magenta"];251 -> 379[label="",style="dashed", color="magenta", weight=3]; 251 -> 380[label="",style="dashed", color="magenta", weight=3]; 252 -> 43[label="",style="dashed", color="red", weight=0]; 252[label="xy300 == xy4000",fontsize=16,color="magenta"];252 -> 381[label="",style="dashed", color="magenta", weight=3]; 252 -> 382[label="",style="dashed", color="magenta", weight=3]; 253 -> 44[label="",style="dashed", color="red", weight=0]; 253[label="xy300 == xy4000",fontsize=16,color="magenta"];253 -> 383[label="",style="dashed", color="magenta", weight=3]; 253 -> 384[label="",style="dashed", color="magenta", weight=3]; 254 -> 45[label="",style="dashed", color="red", weight=0]; 254[label="xy300 == xy4000",fontsize=16,color="magenta"];254 -> 385[label="",style="dashed", color="magenta", weight=3]; 254 -> 386[label="",style="dashed", color="magenta", weight=3]; 255[label="xy300",fontsize=16,color="green",shape="box"];256[label="xy4000",fontsize=16,color="green",shape="box"];315 -> 312[label="",style="dashed", color="red", weight=0]; 315[label="xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];315 -> 387[label="",style="dashed", color="magenta", weight=3]; 315 -> 388[label="",style="dashed", color="magenta", weight=3]; 316[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];906[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 389[label="",style="solid", color="blue", weight=3]; 907[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 390[label="",style="solid", color="blue", weight=3]; 908[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 391[label="",style="solid", color="blue", weight=3]; 909[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 392[label="",style="solid", color="blue", weight=3]; 910[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 393[label="",style="solid", color="blue", weight=3]; 911[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 394[label="",style="solid", color="blue", weight=3]; 912[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 395[label="",style="solid", color="blue", weight=3]; 913[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 396[label="",style="solid", color="blue", weight=3]; 914[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 397[label="",style="solid", color="blue", weight=3]; 915[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 398[label="",style="solid", color="blue", weight=3]; 916[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 399[label="",style="solid", color="blue", weight=3]; 917[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 400[label="",style="solid", color="blue", weight=3]; 918[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 401[label="",style="solid", color="blue", weight=3]; 919[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 402[label="",style="solid", color="blue", weight=3]; 268[label="primEqInt (Pos (Succ xy3000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];920[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];268 -> 920[label="",style="solid", color="burlywood", weight=9]; 920 -> 403[label="",style="solid", color="burlywood", weight=3]; 921[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];268 -> 921[label="",style="solid", color="burlywood", weight=9]; 921 -> 404[label="",style="solid", color="burlywood", weight=3]; 269[label="primEqInt (Pos (Succ xy3000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];269 -> 405[label="",style="solid", color="black", weight=3]; 270[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];922[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];270 -> 922[label="",style="solid", color="burlywood", weight=9]; 922 -> 406[label="",style="solid", color="burlywood", weight=3]; 923[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];270 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 407[label="",style="solid", color="burlywood", weight=3]; 271[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];924[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];271 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 408[label="",style="solid", color="burlywood", weight=3]; 925[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];271 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 409[label="",style="solid", color="burlywood", weight=3]; 272[label="primEqInt (Neg (Succ xy3000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];272 -> 410[label="",style="solid", color="black", weight=3]; 273[label="primEqInt (Neg (Succ xy3000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];926[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];273 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 411[label="",style="solid", color="burlywood", weight=3]; 927[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];273 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 412[label="",style="solid", color="burlywood", weight=3]; 274[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];928[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];274 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 413[label="",style="solid", color="burlywood", weight=3]; 929[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];274 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 414[label="",style="solid", color="burlywood", weight=3]; 275[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];930[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];275 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 415[label="",style="solid", color="burlywood", weight=3]; 931[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];275 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 416[label="",style="solid", color="burlywood", weight=3]; 317[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];932[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 417[label="",style="solid", color="blue", weight=3]; 933[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 418[label="",style="solid", color="blue", weight=3]; 934[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 419[label="",style="solid", color="blue", weight=3]; 935[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 420[label="",style="solid", color="blue", weight=3]; 936[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 421[label="",style="solid", color="blue", weight=3]; 937[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 422[label="",style="solid", color="blue", weight=3]; 938[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 423[label="",style="solid", color="blue", weight=3]; 939[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 424[label="",style="solid", color="blue", weight=3]; 940[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 425[label="",style="solid", color="blue", weight=3]; 941[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 426[label="",style="solid", color="blue", weight=3]; 942[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 427[label="",style="solid", color="blue", weight=3]; 943[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 428[label="",style="solid", color="blue", weight=3]; 944[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 944[label="",style="solid", color="blue", weight=9]; 944 -> 429[label="",style="solid", color="blue", weight=3]; 945[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 945[label="",style="solid", color="blue", weight=9]; 945 -> 430[label="",style="solid", color="blue", weight=3]; 318[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];946[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 431[label="",style="solid", color="blue", weight=3]; 947[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 432[label="",style="solid", color="blue", weight=3]; 948[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 433[label="",style="solid", color="blue", weight=3]; 949[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 434[label="",style="solid", color="blue", weight=3]; 950[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 435[label="",style="solid", color="blue", weight=3]; 951[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 436[label="",style="solid", color="blue", weight=3]; 952[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 952[label="",style="solid", color="blue", weight=9]; 952 -> 437[label="",style="solid", color="blue", weight=3]; 953[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 438[label="",style="solid", color="blue", weight=3]; 954[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 439[label="",style="solid", color="blue", weight=3]; 955[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 440[label="",style="solid", color="blue", weight=3]; 956[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 441[label="",style="solid", color="blue", weight=3]; 957[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 442[label="",style="solid", color="blue", weight=3]; 958[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 443[label="",style="solid", color="blue", weight=3]; 959[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 444[label="",style="solid", color="blue", weight=3]; 319 -> 45[label="",style="dashed", color="red", weight=0]; 319[label="xy301 == xy4001",fontsize=16,color="magenta"];319 -> 445[label="",style="dashed", color="magenta", weight=3]; 319 -> 446[label="",style="dashed", color="magenta", weight=3]; 320[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];960[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 447[label="",style="solid", color="blue", weight=3]; 961[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 448[label="",style="solid", color="blue", weight=3]; 962[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 962[label="",style="solid", color="blue", weight=9]; 962 -> 449[label="",style="solid", color="blue", weight=3]; 963[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 963[label="",style="solid", color="blue", weight=9]; 963 -> 450[label="",style="solid", color="blue", weight=3]; 964[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 964[label="",style="solid", color="blue", weight=9]; 964 -> 451[label="",style="solid", color="blue", weight=3]; 965[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 965[label="",style="solid", color="blue", weight=9]; 965 -> 452[label="",style="solid", color="blue", weight=3]; 966[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 453[label="",style="solid", color="blue", weight=3]; 967[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 454[label="",style="solid", color="blue", weight=3]; 968[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 455[label="",style="solid", color="blue", weight=3]; 969[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 456[label="",style="solid", color="blue", weight=3]; 970[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 457[label="",style="solid", color="blue", weight=3]; 971[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 458[label="",style="solid", color="blue", weight=3]; 972[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 459[label="",style="solid", color="blue", weight=3]; 973[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 973[label="",style="solid", color="blue", weight=9]; 973 -> 460[label="",style="solid", color="blue", weight=3]; 276[label="xy300 * xy4001",fontsize=16,color="black",shape="triangle"];276 -> 461[label="",style="solid", color="black", weight=3]; 277 -> 276[label="",style="dashed", color="red", weight=0]; 277[label="xy301 * xy4000",fontsize=16,color="magenta"];277 -> 462[label="",style="dashed", color="magenta", weight=3]; 277 -> 463[label="",style="dashed", color="magenta", weight=3]; 278[label="primEqNat (Succ xy3000) xy4000",fontsize=16,color="burlywood",shape="box"];974[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];278 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 464[label="",style="solid", color="burlywood", weight=3]; 975[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];278 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 465[label="",style="solid", color="burlywood", weight=3]; 279[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];976[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];279 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 466[label="",style="solid", color="burlywood", weight=3]; 977[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];279 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 467[label="",style="solid", color="burlywood", weight=3]; 280 -> 276[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 -> 276[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]; 282[label="xy300",fontsize=16,color="green",shape="box"];283[label="xy4000",fontsize=16,color="green",shape="box"];284[label="xy300",fontsize=16,color="green",shape="box"];285[label="xy4000",fontsize=16,color="green",shape="box"];286[label="xy300",fontsize=16,color="green",shape="box"];287[label="xy4000",fontsize=16,color="green",shape="box"];288[label="xy300",fontsize=16,color="green",shape="box"];289[label="xy4000",fontsize=16,color="green",shape="box"];290[label="xy300",fontsize=16,color="green",shape="box"];291[label="xy4000",fontsize=16,color="green",shape="box"];292[label="xy300",fontsize=16,color="green",shape="box"];293[label="xy4000",fontsize=16,color="green",shape="box"];294[label="xy300",fontsize=16,color="green",shape="box"];295[label="xy4000",fontsize=16,color="green",shape="box"];296[label="xy300",fontsize=16,color="green",shape="box"];297[label="xy4000",fontsize=16,color="green",shape="box"];298[label="xy300",fontsize=16,color="green",shape="box"];299[label="xy4000",fontsize=16,color="green",shape="box"];300[label="xy300",fontsize=16,color="green",shape="box"];301[label="xy4000",fontsize=16,color="green",shape="box"];302[label="xy300",fontsize=16,color="green",shape="box"];303[label="xy4000",fontsize=16,color="green",shape="box"];304[label="xy300",fontsize=16,color="green",shape="box"];305[label="xy4000",fontsize=16,color="green",shape="box"];306[label="xy300",fontsize=16,color="green",shape="box"];307[label="xy4000",fontsize=16,color="green",shape="box"];308[label="xy300",fontsize=16,color="green",shape="box"];309[label="xy4000",fontsize=16,color="green",shape="box"];325 -> 38[label="",style="dashed", color="red", weight=0]; 325[label="xy301 == xy4001",fontsize=16,color="magenta"];325 -> 472[label="",style="dashed", color="magenta", weight=3]; 325 -> 473[label="",style="dashed", color="magenta", weight=3]; 326 -> 40[label="",style="dashed", color="red", weight=0]; 326[label="xy301 == xy4001",fontsize=16,color="magenta"];326 -> 474[label="",style="dashed", color="magenta", weight=3]; 326 -> 475[label="",style="dashed", color="magenta", weight=3]; 327 -> 38[label="",style="dashed", color="red", weight=0]; 327[label="xy300 == xy4000",fontsize=16,color="magenta"];327 -> 476[label="",style="dashed", color="magenta", weight=3]; 327 -> 477[label="",style="dashed", color="magenta", weight=3]; 328 -> 40[label="",style="dashed", color="red", weight=0]; 328[label="xy300 == xy4000",fontsize=16,color="magenta"];328 -> 478[label="",style="dashed", color="magenta", weight=3]; 328 -> 479[label="",style="dashed", color="magenta", weight=3]; 329[label="False && xy35",fontsize=16,color="black",shape="box"];329 -> 480[label="",style="solid", color="black", weight=3]; 330[label="True && xy35",fontsize=16,color="black",shape="box"];330 -> 481[label="",style="solid", color="black", weight=3]; 331[label="xy300",fontsize=16,color="green",shape="box"];332[label="xy4000",fontsize=16,color="green",shape="box"];333[label="xy300",fontsize=16,color="green",shape="box"];334[label="xy4000",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="xy302 == xy4002",fontsize=16,color="blue",shape="box"];978[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 978[label="",style="solid", color="blue", weight=9]; 978 -> 482[label="",style="solid", color="blue", weight=3]; 979[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 979[label="",style="solid", color="blue", weight=9]; 979 -> 483[label="",style="solid", color="blue", weight=3]; 980[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 980[label="",style="solid", color="blue", weight=9]; 980 -> 484[label="",style="solid", color="blue", weight=3]; 981[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 981[label="",style="solid", color="blue", weight=9]; 981 -> 485[label="",style="solid", color="blue", weight=3]; 982[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 982[label="",style="solid", color="blue", weight=9]; 982 -> 486[label="",style="solid", color="blue", weight=3]; 983[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 983[label="",style="solid", color="blue", weight=9]; 983 -> 487[label="",style="solid", color="blue", weight=3]; 984[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 984[label="",style="solid", color="blue", weight=9]; 984 -> 488[label="",style="solid", color="blue", weight=3]; 985[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 985[label="",style="solid", color="blue", weight=9]; 985 -> 489[label="",style="solid", color="blue", weight=3]; 986[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 986[label="",style="solid", color="blue", weight=9]; 986 -> 490[label="",style="solid", color="blue", weight=3]; 987[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 987[label="",style="solid", color="blue", weight=9]; 987 -> 491[label="",style="solid", color="blue", weight=3]; 988[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 988[label="",style="solid", color="blue", weight=9]; 988 -> 492[label="",style="solid", color="blue", weight=3]; 989[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 989[label="",style="solid", color="blue", weight=9]; 989 -> 493[label="",style="solid", color="blue", weight=3]; 990[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 494[label="",style="solid", color="blue", weight=3]; 991[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];387 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 495[label="",style="solid", color="blue", weight=3]; 388[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];992[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 496[label="",style="solid", color="blue", weight=3]; 993[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 497[label="",style="solid", color="blue", weight=3]; 994[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 498[label="",style="solid", color="blue", weight=3]; 995[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 499[label="",style="solid", color="blue", weight=3]; 996[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 500[label="",style="solid", color="blue", weight=3]; 997[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 501[label="",style="solid", color="blue", weight=3]; 998[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 502[label="",style="solid", color="blue", weight=3]; 999[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 503[label="",style="solid", color="blue", weight=3]; 1000[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 504[label="",style="solid", color="blue", weight=3]; 1001[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 505[label="",style="solid", color="blue", weight=3]; 1002[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 506[label="",style="solid", color="blue", weight=3]; 1003[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 507[label="",style="solid", color="blue", weight=3]; 1004[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 508[label="",style="solid", color="blue", weight=3]; 1005[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];388 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 509[label="",style="solid", color="blue", weight=3]; 389 -> 32[label="",style="dashed", color="red", weight=0]; 389[label="xy300 == xy4000",fontsize=16,color="magenta"];389 -> 510[label="",style="dashed", color="magenta", weight=3]; 389 -> 511[label="",style="dashed", color="magenta", weight=3]; 390 -> 33[label="",style="dashed", color="red", weight=0]; 390[label="xy300 == xy4000",fontsize=16,color="magenta"];390 -> 512[label="",style="dashed", color="magenta", weight=3]; 390 -> 513[label="",style="dashed", color="magenta", weight=3]; 391 -> 34[label="",style="dashed", color="red", weight=0]; 391[label="xy300 == xy4000",fontsize=16,color="magenta"];391 -> 514[label="",style="dashed", color="magenta", weight=3]; 391 -> 515[label="",style="dashed", color="magenta", weight=3]; 392 -> 35[label="",style="dashed", color="red", weight=0]; 392[label="xy300 == xy4000",fontsize=16,color="magenta"];392 -> 516[label="",style="dashed", color="magenta", weight=3]; 392 -> 517[label="",style="dashed", color="magenta", weight=3]; 393 -> 36[label="",style="dashed", color="red", weight=0]; 393[label="xy300 == xy4000",fontsize=16,color="magenta"];393 -> 518[label="",style="dashed", color="magenta", weight=3]; 393 -> 519[label="",style="dashed", color="magenta", weight=3]; 394 -> 37[label="",style="dashed", color="red", weight=0]; 394[label="xy300 == xy4000",fontsize=16,color="magenta"];394 -> 520[label="",style="dashed", color="magenta", weight=3]; 394 -> 521[label="",style="dashed", color="magenta", weight=3]; 395 -> 38[label="",style="dashed", color="red", weight=0]; 395[label="xy300 == xy4000",fontsize=16,color="magenta"];395 -> 522[label="",style="dashed", color="magenta", weight=3]; 395 -> 523[label="",style="dashed", color="magenta", weight=3]; 396 -> 39[label="",style="dashed", color="red", weight=0]; 396[label="xy300 == xy4000",fontsize=16,color="magenta"];396 -> 524[label="",style="dashed", color="magenta", weight=3]; 396 -> 525[label="",style="dashed", color="magenta", weight=3]; 397 -> 40[label="",style="dashed", color="red", weight=0]; 397[label="xy300 == xy4000",fontsize=16,color="magenta"];397 -> 526[label="",style="dashed", color="magenta", weight=3]; 397 -> 527[label="",style="dashed", color="magenta", weight=3]; 398 -> 41[label="",style="dashed", color="red", weight=0]; 398[label="xy300 == xy4000",fontsize=16,color="magenta"];398 -> 528[label="",style="dashed", color="magenta", weight=3]; 398 -> 529[label="",style="dashed", color="magenta", weight=3]; 399 -> 42[label="",style="dashed", color="red", weight=0]; 399[label="xy300 == xy4000",fontsize=16,color="magenta"];399 -> 530[label="",style="dashed", color="magenta", weight=3]; 399 -> 531[label="",style="dashed", color="magenta", weight=3]; 400 -> 43[label="",style="dashed", color="red", weight=0]; 400[label="xy300 == xy4000",fontsize=16,color="magenta"];400 -> 532[label="",style="dashed", color="magenta", weight=3]; 400 -> 533[label="",style="dashed", color="magenta", weight=3]; 401 -> 44[label="",style="dashed", color="red", weight=0]; 401[label="xy300 == xy4000",fontsize=16,color="magenta"];401 -> 534[label="",style="dashed", color="magenta", weight=3]; 401 -> 535[label="",style="dashed", color="magenta", weight=3]; 402 -> 45[label="",style="dashed", color="red", weight=0]; 402[label="xy300 == xy4000",fontsize=16,color="magenta"];402 -> 536[label="",style="dashed", color="magenta", weight=3]; 402 -> 537[label="",style="dashed", color="magenta", weight=3]; 403[label="primEqInt (Pos (Succ xy3000)) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];403 -> 538[label="",style="solid", color="black", weight=3]; 404[label="primEqInt (Pos (Succ xy3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];404 -> 539[label="",style="solid", color="black", weight=3]; 405[label="False",fontsize=16,color="green",shape="box"];406[label="primEqInt (Pos Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];406 -> 540[label="",style="solid", color="black", weight=3]; 407[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];407 -> 541[label="",style="solid", color="black", weight=3]; 408[label="primEqInt (Pos Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];408 -> 542[label="",style="solid", color="black", weight=3]; 409[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];409 -> 543[label="",style="solid", color="black", weight=3]; 410[label="False",fontsize=16,color="green",shape="box"];411[label="primEqInt (Neg (Succ xy3000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];411 -> 544[label="",style="solid", color="black", weight=3]; 412[label="primEqInt (Neg (Succ xy3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];412 -> 545[label="",style="solid", color="black", weight=3]; 413[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];413 -> 546[label="",style="solid", color="black", weight=3]; 414[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];414 -> 547[label="",style="solid", color="black", weight=3]; 415[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];415 -> 548[label="",style="solid", color="black", weight=3]; 416[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];416 -> 549[label="",style="solid", color="black", weight=3]; 417 -> 32[label="",style="dashed", color="red", weight=0]; 417[label="xy301 == xy4001",fontsize=16,color="magenta"];417 -> 550[label="",style="dashed", color="magenta", weight=3]; 417 -> 551[label="",style="dashed", color="magenta", weight=3]; 418 -> 33[label="",style="dashed", color="red", weight=0]; 418[label="xy301 == xy4001",fontsize=16,color="magenta"];418 -> 552[label="",style="dashed", color="magenta", weight=3]; 418 -> 553[label="",style="dashed", color="magenta", weight=3]; 419 -> 34[label="",style="dashed", color="red", weight=0]; 419[label="xy301 == xy4001",fontsize=16,color="magenta"];419 -> 554[label="",style="dashed", color="magenta", weight=3]; 419 -> 555[label="",style="dashed", color="magenta", weight=3]; 420 -> 35[label="",style="dashed", color="red", weight=0]; 420[label="xy301 == xy4001",fontsize=16,color="magenta"];420 -> 556[label="",style="dashed", color="magenta", weight=3]; 420 -> 557[label="",style="dashed", color="magenta", weight=3]; 421 -> 36[label="",style="dashed", color="red", weight=0]; 421[label="xy301 == xy4001",fontsize=16,color="magenta"];421 -> 558[label="",style="dashed", color="magenta", weight=3]; 421 -> 559[label="",style="dashed", color="magenta", weight=3]; 422 -> 37[label="",style="dashed", color="red", weight=0]; 422[label="xy301 == xy4001",fontsize=16,color="magenta"];422 -> 560[label="",style="dashed", color="magenta", weight=3]; 422 -> 561[label="",style="dashed", color="magenta", weight=3]; 423 -> 38[label="",style="dashed", color="red", weight=0]; 423[label="xy301 == xy4001",fontsize=16,color="magenta"];423 -> 562[label="",style="dashed", color="magenta", weight=3]; 423 -> 563[label="",style="dashed", color="magenta", weight=3]; 424 -> 39[label="",style="dashed", color="red", weight=0]; 424[label="xy301 == xy4001",fontsize=16,color="magenta"];424 -> 564[label="",style="dashed", color="magenta", weight=3]; 424 -> 565[label="",style="dashed", color="magenta", weight=3]; 425 -> 40[label="",style="dashed", color="red", weight=0]; 425[label="xy301 == xy4001",fontsize=16,color="magenta"];425 -> 566[label="",style="dashed", color="magenta", weight=3]; 425 -> 567[label="",style="dashed", color="magenta", weight=3]; 426 -> 41[label="",style="dashed", color="red", weight=0]; 426[label="xy301 == xy4001",fontsize=16,color="magenta"];426 -> 568[label="",style="dashed", color="magenta", weight=3]; 426 -> 569[label="",style="dashed", color="magenta", weight=3]; 427 -> 42[label="",style="dashed", color="red", weight=0]; 427[label="xy301 == xy4001",fontsize=16,color="magenta"];427 -> 570[label="",style="dashed", color="magenta", weight=3]; 427 -> 571[label="",style="dashed", color="magenta", weight=3]; 428 -> 43[label="",style="dashed", color="red", weight=0]; 428[label="xy301 == xy4001",fontsize=16,color="magenta"];428 -> 572[label="",style="dashed", color="magenta", weight=3]; 428 -> 573[label="",style="dashed", color="magenta", weight=3]; 429 -> 44[label="",style="dashed", color="red", weight=0]; 429[label="xy301 == xy4001",fontsize=16,color="magenta"];429 -> 574[label="",style="dashed", color="magenta", weight=3]; 429 -> 575[label="",style="dashed", color="magenta", weight=3]; 430 -> 45[label="",style="dashed", color="red", weight=0]; 430[label="xy301 == xy4001",fontsize=16,color="magenta"];430 -> 576[label="",style="dashed", color="magenta", weight=3]; 430 -> 577[label="",style="dashed", color="magenta", weight=3]; 431 -> 32[label="",style="dashed", color="red", weight=0]; 431[label="xy300 == xy4000",fontsize=16,color="magenta"];431 -> 578[label="",style="dashed", color="magenta", weight=3]; 431 -> 579[label="",style="dashed", color="magenta", weight=3]; 432 -> 33[label="",style="dashed", color="red", weight=0]; 432[label="xy300 == xy4000",fontsize=16,color="magenta"];432 -> 580[label="",style="dashed", color="magenta", weight=3]; 432 -> 581[label="",style="dashed", color="magenta", weight=3]; 433 -> 34[label="",style="dashed", color="red", weight=0]; 433[label="xy300 == xy4000",fontsize=16,color="magenta"];433 -> 582[label="",style="dashed", color="magenta", weight=3]; 433 -> 583[label="",style="dashed", color="magenta", weight=3]; 434 -> 35[label="",style="dashed", color="red", weight=0]; 434[label="xy300 == xy4000",fontsize=16,color="magenta"];434 -> 584[label="",style="dashed", color="magenta", weight=3]; 434 -> 585[label="",style="dashed", color="magenta", weight=3]; 435 -> 36[label="",style="dashed", color="red", weight=0]; 435[label="xy300 == xy4000",fontsize=16,color="magenta"];435 -> 586[label="",style="dashed", color="magenta", weight=3]; 435 -> 587[label="",style="dashed", color="magenta", weight=3]; 436 -> 37[label="",style="dashed", color="red", weight=0]; 436[label="xy300 == xy4000",fontsize=16,color="magenta"];436 -> 588[label="",style="dashed", color="magenta", weight=3]; 436 -> 589[label="",style="dashed", color="magenta", weight=3]; 437 -> 38[label="",style="dashed", color="red", weight=0]; 437[label="xy300 == xy4000",fontsize=16,color="magenta"];437 -> 590[label="",style="dashed", color="magenta", weight=3]; 437 -> 591[label="",style="dashed", color="magenta", weight=3]; 438 -> 39[label="",style="dashed", color="red", weight=0]; 438[label="xy300 == xy4000",fontsize=16,color="magenta"];438 -> 592[label="",style="dashed", color="magenta", weight=3]; 438 -> 593[label="",style="dashed", color="magenta", weight=3]; 439 -> 40[label="",style="dashed", color="red", weight=0]; 439[label="xy300 == xy4000",fontsize=16,color="magenta"];439 -> 594[label="",style="dashed", color="magenta", weight=3]; 439 -> 595[label="",style="dashed", color="magenta", weight=3]; 440 -> 41[label="",style="dashed", color="red", weight=0]; 440[label="xy300 == xy4000",fontsize=16,color="magenta"];440 -> 596[label="",style="dashed", color="magenta", weight=3]; 440 -> 597[label="",style="dashed", color="magenta", weight=3]; 441 -> 42[label="",style="dashed", color="red", weight=0]; 441[label="xy300 == xy4000",fontsize=16,color="magenta"];441 -> 598[label="",style="dashed", color="magenta", weight=3]; 441 -> 599[label="",style="dashed", color="magenta", weight=3]; 442 -> 43[label="",style="dashed", color="red", weight=0]; 442[label="xy300 == xy4000",fontsize=16,color="magenta"];442 -> 600[label="",style="dashed", color="magenta", weight=3]; 442 -> 601[label="",style="dashed", color="magenta", weight=3]; 443 -> 44[label="",style="dashed", color="red", weight=0]; 443[label="xy300 == xy4000",fontsize=16,color="magenta"];443 -> 602[label="",style="dashed", color="magenta", weight=3]; 443 -> 603[label="",style="dashed", color="magenta", weight=3]; 444 -> 45[label="",style="dashed", color="red", weight=0]; 444[label="xy300 == xy4000",fontsize=16,color="magenta"];444 -> 604[label="",style="dashed", color="magenta", weight=3]; 444 -> 605[label="",style="dashed", color="magenta", weight=3]; 445[label="xy301",fontsize=16,color="green",shape="box"];446[label="xy4001",fontsize=16,color="green",shape="box"];447 -> 32[label="",style="dashed", color="red", weight=0]; 447[label="xy300 == xy4000",fontsize=16,color="magenta"];447 -> 606[label="",style="dashed", color="magenta", weight=3]; 447 -> 607[label="",style="dashed", color="magenta", weight=3]; 448 -> 33[label="",style="dashed", color="red", weight=0]; 448[label="xy300 == xy4000",fontsize=16,color="magenta"];448 -> 608[label="",style="dashed", color="magenta", weight=3]; 448 -> 609[label="",style="dashed", color="magenta", weight=3]; 449 -> 34[label="",style="dashed", color="red", weight=0]; 449[label="xy300 == xy4000",fontsize=16,color="magenta"];449 -> 610[label="",style="dashed", color="magenta", weight=3]; 449 -> 611[label="",style="dashed", color="magenta", weight=3]; 450 -> 35[label="",style="dashed", color="red", weight=0]; 450[label="xy300 == xy4000",fontsize=16,color="magenta"];450 -> 612[label="",style="dashed", color="magenta", weight=3]; 450 -> 613[label="",style="dashed", color="magenta", weight=3]; 451 -> 36[label="",style="dashed", color="red", weight=0]; 451[label="xy300 == xy4000",fontsize=16,color="magenta"];451 -> 614[label="",style="dashed", color="magenta", weight=3]; 451 -> 615[label="",style="dashed", color="magenta", weight=3]; 452 -> 37[label="",style="dashed", color="red", weight=0]; 452[label="xy300 == xy4000",fontsize=16,color="magenta"];452 -> 616[label="",style="dashed", color="magenta", weight=3]; 452 -> 617[label="",style="dashed", color="magenta", weight=3]; 453 -> 38[label="",style="dashed", color="red", weight=0]; 453[label="xy300 == xy4000",fontsize=16,color="magenta"];453 -> 618[label="",style="dashed", color="magenta", weight=3]; 453 -> 619[label="",style="dashed", color="magenta", weight=3]; 454 -> 39[label="",style="dashed", color="red", weight=0]; 454[label="xy300 == xy4000",fontsize=16,color="magenta"];454 -> 620[label="",style="dashed", color="magenta", weight=3]; 454 -> 621[label="",style="dashed", color="magenta", weight=3]; 455 -> 40[label="",style="dashed", color="red", weight=0]; 455[label="xy300 == xy4000",fontsize=16,color="magenta"];455 -> 622[label="",style="dashed", color="magenta", weight=3]; 455 -> 623[label="",style="dashed", color="magenta", weight=3]; 456 -> 41[label="",style="dashed", color="red", weight=0]; 456[label="xy300 == xy4000",fontsize=16,color="magenta"];456 -> 624[label="",style="dashed", color="magenta", weight=3]; 456 -> 625[label="",style="dashed", color="magenta", weight=3]; 457 -> 42[label="",style="dashed", color="red", weight=0]; 457[label="xy300 == xy4000",fontsize=16,color="magenta"];457 -> 626[label="",style="dashed", color="magenta", weight=3]; 457 -> 627[label="",style="dashed", color="magenta", weight=3]; 458 -> 43[label="",style="dashed", color="red", weight=0]; 458[label="xy300 == xy4000",fontsize=16,color="magenta"];458 -> 628[label="",style="dashed", color="magenta", weight=3]; 458 -> 629[label="",style="dashed", color="magenta", weight=3]; 459 -> 44[label="",style="dashed", color="red", weight=0]; 459[label="xy300 == xy4000",fontsize=16,color="magenta"];459 -> 630[label="",style="dashed", color="magenta", weight=3]; 459 -> 631[label="",style="dashed", color="magenta", weight=3]; 460 -> 45[label="",style="dashed", color="red", weight=0]; 460[label="xy300 == xy4000",fontsize=16,color="magenta"];460 -> 632[label="",style="dashed", color="magenta", weight=3]; 460 -> 633[label="",style="dashed", color="magenta", weight=3]; 461[label="primMulInt xy300 xy4001",fontsize=16,color="burlywood",shape="box"];1006[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];461 -> 1006[label="",style="solid", color="burlywood", weight=9]; 1006 -> 634[label="",style="solid", color="burlywood", weight=3]; 1007[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];461 -> 1007[label="",style="solid", color="burlywood", weight=9]; 1007 -> 635[label="",style="solid", color="burlywood", weight=3]; 462[label="xy301",fontsize=16,color="green",shape="box"];463[label="xy4000",fontsize=16,color="green",shape="box"];464[label="primEqNat (Succ xy3000) (Succ xy40000)",fontsize=16,color="black",shape="box"];464 -> 636[label="",style="solid", color="black", weight=3]; 465[label="primEqNat (Succ xy3000) Zero",fontsize=16,color="black",shape="box"];465 -> 637[label="",style="solid", color="black", weight=3]; 466[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];466 -> 638[label="",style="solid", color="black", weight=3]; 467[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];467 -> 639[label="",style="solid", color="black", weight=3]; 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="xy301",fontsize=16,color="green",shape="box"];473[label="xy4001",fontsize=16,color="green",shape="box"];474[label="xy301",fontsize=16,color="green",shape="box"];475[label="xy4001",fontsize=16,color="green",shape="box"];476[label="xy300",fontsize=16,color="green",shape="box"];477[label="xy4000",fontsize=16,color="green",shape="box"];478[label="xy300",fontsize=16,color="green",shape="box"];479[label="xy4000",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 -> 32[label="",style="dashed", color="red", weight=0]; 482[label="xy302 == xy4002",fontsize=16,color="magenta"];482 -> 640[label="",style="dashed", color="magenta", weight=3]; 482 -> 641[label="",style="dashed", color="magenta", weight=3]; 483 -> 33[label="",style="dashed", color="red", weight=0]; 483[label="xy302 == xy4002",fontsize=16,color="magenta"];483 -> 642[label="",style="dashed", color="magenta", weight=3]; 483 -> 643[label="",style="dashed", color="magenta", weight=3]; 484 -> 34[label="",style="dashed", color="red", weight=0]; 484[label="xy302 == xy4002",fontsize=16,color="magenta"];484 -> 644[label="",style="dashed", color="magenta", weight=3]; 484 -> 645[label="",style="dashed", color="magenta", weight=3]; 485 -> 35[label="",style="dashed", color="red", weight=0]; 485[label="xy302 == xy4002",fontsize=16,color="magenta"];485 -> 646[label="",style="dashed", color="magenta", weight=3]; 485 -> 647[label="",style="dashed", color="magenta", weight=3]; 486 -> 36[label="",style="dashed", color="red", weight=0]; 486[label="xy302 == xy4002",fontsize=16,color="magenta"];486 -> 648[label="",style="dashed", color="magenta", weight=3]; 486 -> 649[label="",style="dashed", color="magenta", weight=3]; 487 -> 37[label="",style="dashed", color="red", weight=0]; 487[label="xy302 == xy4002",fontsize=16,color="magenta"];487 -> 650[label="",style="dashed", color="magenta", weight=3]; 487 -> 651[label="",style="dashed", color="magenta", weight=3]; 488 -> 38[label="",style="dashed", color="red", weight=0]; 488[label="xy302 == xy4002",fontsize=16,color="magenta"];488 -> 652[label="",style="dashed", color="magenta", weight=3]; 488 -> 653[label="",style="dashed", color="magenta", weight=3]; 489 -> 39[label="",style="dashed", color="red", weight=0]; 489[label="xy302 == xy4002",fontsize=16,color="magenta"];489 -> 654[label="",style="dashed", color="magenta", weight=3]; 489 -> 655[label="",style="dashed", color="magenta", weight=3]; 490 -> 40[label="",style="dashed", color="red", weight=0]; 490[label="xy302 == xy4002",fontsize=16,color="magenta"];490 -> 656[label="",style="dashed", color="magenta", weight=3]; 490 -> 657[label="",style="dashed", color="magenta", weight=3]; 491 -> 41[label="",style="dashed", color="red", weight=0]; 491[label="xy302 == xy4002",fontsize=16,color="magenta"];491 -> 658[label="",style="dashed", color="magenta", weight=3]; 491 -> 659[label="",style="dashed", color="magenta", weight=3]; 492 -> 42[label="",style="dashed", color="red", weight=0]; 492[label="xy302 == xy4002",fontsize=16,color="magenta"];492 -> 660[label="",style="dashed", color="magenta", weight=3]; 492 -> 661[label="",style="dashed", color="magenta", weight=3]; 493 -> 43[label="",style="dashed", color="red", weight=0]; 493[label="xy302 == xy4002",fontsize=16,color="magenta"];493 -> 662[label="",style="dashed", color="magenta", weight=3]; 493 -> 663[label="",style="dashed", color="magenta", weight=3]; 494 -> 44[label="",style="dashed", color="red", weight=0]; 494[label="xy302 == xy4002",fontsize=16,color="magenta"];494 -> 664[label="",style="dashed", color="magenta", weight=3]; 494 -> 665[label="",style="dashed", color="magenta", weight=3]; 495 -> 45[label="",style="dashed", color="red", weight=0]; 495[label="xy302 == xy4002",fontsize=16,color="magenta"];495 -> 666[label="",style="dashed", color="magenta", weight=3]; 495 -> 667[label="",style="dashed", color="magenta", weight=3]; 496 -> 32[label="",style="dashed", color="red", weight=0]; 496[label="xy301 == xy4001",fontsize=16,color="magenta"];496 -> 668[label="",style="dashed", color="magenta", weight=3]; 496 -> 669[label="",style="dashed", color="magenta", weight=3]; 497 -> 33[label="",style="dashed", color="red", weight=0]; 497[label="xy301 == xy4001",fontsize=16,color="magenta"];497 -> 670[label="",style="dashed", color="magenta", weight=3]; 497 -> 671[label="",style="dashed", color="magenta", weight=3]; 498 -> 34[label="",style="dashed", color="red", weight=0]; 498[label="xy301 == xy4001",fontsize=16,color="magenta"];498 -> 672[label="",style="dashed", color="magenta", weight=3]; 498 -> 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689[label="",style="dashed", color="magenta", weight=3]; 507 -> 43[label="",style="dashed", color="red", weight=0]; 507[label="xy301 == xy4001",fontsize=16,color="magenta"];507 -> 690[label="",style="dashed", color="magenta", weight=3]; 507 -> 691[label="",style="dashed", color="magenta", weight=3]; 508 -> 44[label="",style="dashed", color="red", weight=0]; 508[label="xy301 == xy4001",fontsize=16,color="magenta"];508 -> 692[label="",style="dashed", color="magenta", weight=3]; 508 -> 693[label="",style="dashed", color="magenta", weight=3]; 509 -> 45[label="",style="dashed", color="red", weight=0]; 509[label="xy301 == xy4001",fontsize=16,color="magenta"];509 -> 694[label="",style="dashed", color="magenta", weight=3]; 509 -> 695[label="",style="dashed", color="magenta", weight=3]; 510[label="xy300",fontsize=16,color="green",shape="box"];511[label="xy4000",fontsize=16,color="green",shape="box"];512[label="xy300",fontsize=16,color="green",shape="box"];513[label="xy4000",fontsize=16,color="green",shape="box"];514[label="xy300",fontsize=16,color="green",shape="box"];515[label="xy4000",fontsize=16,color="green",shape="box"];516[label="xy300",fontsize=16,color="green",shape="box"];517[label="xy4000",fontsize=16,color="green",shape="box"];518[label="xy300",fontsize=16,color="green",shape="box"];519[label="xy4000",fontsize=16,color="green",shape="box"];520[label="xy300",fontsize=16,color="green",shape="box"];521[label="xy4000",fontsize=16,color="green",shape="box"];522[label="xy300",fontsize=16,color="green",shape="box"];523[label="xy4000",fontsize=16,color="green",shape="box"];524[label="xy300",fontsize=16,color="green",shape="box"];525[label="xy4000",fontsize=16,color="green",shape="box"];526[label="xy300",fontsize=16,color="green",shape="box"];527[label="xy4000",fontsize=16,color="green",shape="box"];528[label="xy300",fontsize=16,color="green",shape="box"];529[label="xy4000",fontsize=16,color="green",shape="box"];530[label="xy300",fontsize=16,color="green",shape="box"];531[label="xy4000",fontsize=16,color="green",shape="box"];532[label="xy300",fontsize=16,color="green",shape="box"];533[label="xy4000",fontsize=16,color="green",shape="box"];534[label="xy300",fontsize=16,color="green",shape="box"];535[label="xy4000",fontsize=16,color="green",shape="box"];536[label="xy300",fontsize=16,color="green",shape="box"];537[label="xy4000",fontsize=16,color="green",shape="box"];538 -> 201[label="",style="dashed", color="red", weight=0]; 538[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];538 -> 696[label="",style="dashed", color="magenta", weight=3]; 538 -> 697[label="",style="dashed", color="magenta", weight=3]; 539[label="False",fontsize=16,color="green",shape="box"];540[label="False",fontsize=16,color="green",shape="box"];541[label="True",fontsize=16,color="green",shape="box"];542[label="False",fontsize=16,color="green",shape="box"];543[label="True",fontsize=16,color="green",shape="box"];544 -> 201[label="",style="dashed", color="red", weight=0]; 544[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];544 -> 698[label="",style="dashed", color="magenta", weight=3]; 544 -> 699[label="",style="dashed", color="magenta", weight=3]; 545[label="False",fontsize=16,color="green",shape="box"];546[label="False",fontsize=16,color="green",shape="box"];547[label="True",fontsize=16,color="green",shape="box"];548[label="False",fontsize=16,color="green",shape="box"];549[label="True",fontsize=16,color="green",shape="box"];550[label="xy301",fontsize=16,color="green",shape="box"];551[label="xy4001",fontsize=16,color="green",shape="box"];552[label="xy301",fontsize=16,color="green",shape="box"];553[label="xy4001",fontsize=16,color="green",shape="box"];554[label="xy301",fontsize=16,color="green",shape="box"];555[label="xy4001",fontsize=16,color="green",shape="box"];556[label="xy301",fontsize=16,color="green",shape="box"];557[label="xy4001",fontsize=16,color="green",shape="box"];558[label="xy301",fontsize=16,color="green",shape="box"];559[label="xy4001",fontsize=16,color="green",shape="box"];560[label="xy301",fontsize=16,color="green",shape="box"];561[label="xy4001",fontsize=16,color="green",shape="box"];562[label="xy301",fontsize=16,color="green",shape="box"];563[label="xy4001",fontsize=16,color="green",shape="box"];564[label="xy301",fontsize=16,color="green",shape="box"];565[label="xy4001",fontsize=16,color="green",shape="box"];566[label="xy301",fontsize=16,color="green",shape="box"];567[label="xy4001",fontsize=16,color="green",shape="box"];568[label="xy301",fontsize=16,color="green",shape="box"];569[label="xy4001",fontsize=16,color="green",shape="box"];570[label="xy301",fontsize=16,color="green",shape="box"];571[label="xy4001",fontsize=16,color="green",shape="box"];572[label="xy301",fontsize=16,color="green",shape="box"];573[label="xy4001",fontsize=16,color="green",shape="box"];574[label="xy301",fontsize=16,color="green",shape="box"];575[label="xy4001",fontsize=16,color="green",shape="box"];576[label="xy301",fontsize=16,color="green",shape="box"];577[label="xy4001",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="xy300",fontsize=16,color="green",shape="box"];595[label="xy4000",fontsize=16,color="green",shape="box"];596[label="xy300",fontsize=16,color="green",shape="box"];597[label="xy4000",fontsize=16,color="green",shape="box"];598[label="xy300",fontsize=16,color="green",shape="box"];599[label="xy4000",fontsize=16,color="green",shape="box"];600[label="xy300",fontsize=16,color="green",shape="box"];601[label="xy4000",fontsize=16,color="green",shape="box"];602[label="xy300",fontsize=16,color="green",shape="box"];603[label="xy4000",fontsize=16,color="green",shape="box"];604[label="xy300",fontsize=16,color="green",shape="box"];605[label="xy4000",fontsize=16,color="green",shape="box"];606[label="xy300",fontsize=16,color="green",shape="box"];607[label="xy4000",fontsize=16,color="green",shape="box"];608[label="xy300",fontsize=16,color="green",shape="box"];609[label="xy4000",fontsize=16,color="green",shape="box"];610[label="xy300",fontsize=16,color="green",shape="box"];611[label="xy4000",fontsize=16,color="green",shape="box"];612[label="xy300",fontsize=16,color="green",shape="box"];613[label="xy4000",fontsize=16,color="green",shape="box"];614[label="xy300",fontsize=16,color="green",shape="box"];615[label="xy4000",fontsize=16,color="green",shape="box"];616[label="xy300",fontsize=16,color="green",shape="box"];617[label="xy4000",fontsize=16,color="green",shape="box"];618[label="xy300",fontsize=16,color="green",shape="box"];619[label="xy4000",fontsize=16,color="green",shape="box"];620[label="xy300",fontsize=16,color="green",shape="box"];621[label="xy4000",fontsize=16,color="green",shape="box"];622[label="xy300",fontsize=16,color="green",shape="box"];623[label="xy4000",fontsize=16,color="green",shape="box"];624[label="xy300",fontsize=16,color="green",shape="box"];625[label="xy4000",fontsize=16,color="green",shape="box"];626[label="xy300",fontsize=16,color="green",shape="box"];627[label="xy4000",fontsize=16,color="green",shape="box"];628[label="xy300",fontsize=16,color="green",shape="box"];629[label="xy4000",fontsize=16,color="green",shape="box"];630[label="xy300",fontsize=16,color="green",shape="box"];631[label="xy4000",fontsize=16,color="green",shape="box"];632[label="xy300",fontsize=16,color="green",shape="box"];633[label="xy4000",fontsize=16,color="green",shape="box"];634[label="primMulInt (Pos xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1008[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];634 -> 1008[label="",style="solid", color="burlywood", weight=9]; 1008 -> 700[label="",style="solid", color="burlywood", weight=3]; 1009[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];634 -> 1009[label="",style="solid", color="burlywood", weight=9]; 1009 -> 701[label="",style="solid", color="burlywood", weight=3]; 635[label="primMulInt (Neg xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1010[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];635 -> 1010[label="",style="solid", color="burlywood", weight=9]; 1010 -> 702[label="",style="solid", color="burlywood", weight=3]; 1011[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];635 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 703[label="",style="solid", color="burlywood", weight=3]; 636 -> 201[label="",style="dashed", color="red", weight=0]; 636[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];636 -> 704[label="",style="dashed", color="magenta", weight=3]; 636 -> 705[label="",style="dashed", color="magenta", weight=3]; 637[label="False",fontsize=16,color="green",shape="box"];638[label="False",fontsize=16,color="green",shape="box"];639[label="True",fontsize=16,color="green",shape="box"];640[label="xy302",fontsize=16,color="green",shape="box"];641[label="xy4002",fontsize=16,color="green",shape="box"];642[label="xy302",fontsize=16,color="green",shape="box"];643[label="xy4002",fontsize=16,color="green",shape="box"];644[label="xy302",fontsize=16,color="green",shape="box"];645[label="xy4002",fontsize=16,color="green",shape="box"];646[label="xy302",fontsize=16,color="green",shape="box"];647[label="xy4002",fontsize=16,color="green",shape="box"];648[label="xy302",fontsize=16,color="green",shape="box"];649[label="xy4002",fontsize=16,color="green",shape="box"];650[label="xy302",fontsize=16,color="green",shape="box"];651[label="xy4002",fontsize=16,color="green",shape="box"];652[label="xy302",fontsize=16,color="green",shape="box"];653[label="xy4002",fontsize=16,color="green",shape="box"];654[label="xy302",fontsize=16,color="green",shape="box"];655[label="xy4002",fontsize=16,color="green",shape="box"];656[label="xy302",fontsize=16,color="green",shape="box"];657[label="xy4002",fontsize=16,color="green",shape="box"];658[label="xy302",fontsize=16,color="green",shape="box"];659[label="xy4002",fontsize=16,color="green",shape="box"];660[label="xy302",fontsize=16,color="green",shape="box"];661[label="xy4002",fontsize=16,color="green",shape="box"];662[label="xy302",fontsize=16,color="green",shape="box"];663[label="xy4002",fontsize=16,color="green",shape="box"];664[label="xy302",fontsize=16,color="green",shape="box"];665[label="xy4002",fontsize=16,color="green",shape="box"];666[label="xy302",fontsize=16,color="green",shape="box"];667[label="xy4002",fontsize=16,color="green",shape="box"];668[label="xy301",fontsize=16,color="green",shape="box"];669[label="xy4001",fontsize=16,color="green",shape="box"];670[label="xy301",fontsize=16,color="green",shape="box"];671[label="xy4001",fontsize=16,color="green",shape="box"];672[label="xy301",fontsize=16,color="green",shape="box"];673[label="xy4001",fontsize=16,color="green",shape="box"];674[label="xy301",fontsize=16,color="green",shape="box"];675[label="xy4001",fontsize=16,color="green",shape="box"];676[label="xy301",fontsize=16,color="green",shape="box"];677[label="xy4001",fontsize=16,color="green",shape="box"];678[label="xy301",fontsize=16,color="green",shape="box"];679[label="xy4001",fontsize=16,color="green",shape="box"];680[label="xy301",fontsize=16,color="green",shape="box"];681[label="xy4001",fontsize=16,color="green",shape="box"];682[label="xy301",fontsize=16,color="green",shape="box"];683[label="xy4001",fontsize=16,color="green",shape="box"];684[label="xy301",fontsize=16,color="green",shape="box"];685[label="xy4001",fontsize=16,color="green",shape="box"];686[label="xy301",fontsize=16,color="green",shape="box"];687[label="xy4001",fontsize=16,color="green",shape="box"];688[label="xy301",fontsize=16,color="green",shape="box"];689[label="xy4001",fontsize=16,color="green",shape="box"];690[label="xy301",fontsize=16,color="green",shape="box"];691[label="xy4001",fontsize=16,color="green",shape="box"];692[label="xy301",fontsize=16,color="green",shape="box"];693[label="xy4001",fontsize=16,color="green",shape="box"];694[label="xy301",fontsize=16,color="green",shape="box"];695[label="xy4001",fontsize=16,color="green",shape="box"];696[label="xy3000",fontsize=16,color="green",shape="box"];697[label="xy40000",fontsize=16,color="green",shape="box"];698[label="xy3000",fontsize=16,color="green",shape="box"];699[label="xy40000",fontsize=16,color="green",shape="box"];700[label="primMulInt (Pos xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];700 -> 706[label="",style="solid", color="black", weight=3]; 701[label="primMulInt (Pos xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];701 -> 707[label="",style="solid", color="black", weight=3]; 702[label="primMulInt (Neg xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];702 -> 708[label="",style="solid", color="black", weight=3]; 703[label="primMulInt (Neg xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];703 -> 709[label="",style="solid", color="black", weight=3]; 704[label="xy3000",fontsize=16,color="green",shape="box"];705[label="xy40000",fontsize=16,color="green",shape="box"];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="xy3000",fontsize=16,color="green",shape="box"];719[label="xy40010",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="xy30000",fontsize=16,color="green",shape="box"];731[label="Succ xy400100",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_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_esEs26(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs11(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_[], ef)) -> new_esEs21(xy300, xy4000, ef) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primPlusNat0(Zero, Zero) -> Zero new_esEs13(Left(xy300), Left(xy4000), ty_Int, bh) -> new_esEs7(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(app(ty_@3, gg), gh), ha)) -> new_esEs16(xy300, xy4000, gg, gh, ha) new_esEs22(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs5(xy30, xy400, app(ty_Maybe, eg)) -> new_esEs15(xy30, xy400, eg) new_esEs24(xy300, xy4000, app(ty_Maybe, bbe)) -> new_esEs15(xy300, xy4000, bbe) new_esEs27(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(ty_@2, hb), hc)) -> new_esEs19(xy300, xy4000, hb, hc) new_esEs4(xy30, xy400, app(app(ty_Either, dd), bh)) -> new_esEs13(xy30, xy400, dd, bh) new_esEs10(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs23(xy301, xy4001, app(app(ty_Either, bae), baf)) -> new_esEs13(xy301, xy4001, bae, baf) new_esEs25(xy302, xy4002, ty_Ordering) -> new_esEs17(xy302, xy4002) new_esEs15(Just(xy300), Just(xy4000), app(app(ty_Either, bda), bdb)) -> new_esEs13(xy300, xy4000, bda, bdb) new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_Maybe, de)) -> new_esEs15(xy300, xy4000, de) new_esEs24(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs26(xy301, xy4001, app(ty_Maybe, bfc)) -> new_esEs15(xy301, xy4001, bfc) new_esEs25(xy302, xy4002, ty_Integer) -> new_esEs12(xy302, xy4002) new_esEs18(@0, @0) -> True new_esEs21(:(xy300, xy301), :(xy4000, xy4001), gb) -> new_asAs(new_esEs22(xy300, xy4000, gb), new_esEs21(xy301, xy4001, gb)) new_esEs22(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_[], bcf)) -> new_esEs21(xy300, xy4000, bcf) new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat1(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs25(xy302, xy4002, app(app(ty_Either, bec), bed)) -> new_esEs13(xy302, xy4002, bec, bed) new_esEs13(Left(xy300), Right(xy4000), dd, bh) -> False new_esEs13(Right(xy300), Left(xy4000), dd, bh) -> False new_esEs24(xy300, xy4000, app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs16(xy300, xy4000, bca, bcb, bcc) new_asAs(True, xy35) -> xy35 new_esEs15(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs12(xy30, xy400) new_esEs5(xy30, xy400, app(app(ty_@2, fg), fh)) -> new_esEs19(xy30, xy400, fg, fh) new_esEs4(xy30, xy400, ty_Bool) -> new_esEs20(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs25(xy302, xy4002, ty_Bool) -> new_esEs20(xy302, xy4002) new_esEs17(LT, LT) -> True new_esEs23(xy301, xy4001, ty_Bool) -> new_esEs20(xy301, xy4001) new_esEs24(xy300, xy4000, app(app(ty_@2, bcd), bce)) -> new_esEs19(xy300, xy4000, bcd, bce) new_esEs27(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs27(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs13(Left(xy300), Left(xy4000), ty_@0, bh) -> new_esEs18(xy300, xy4000) new_esEs5(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) new_esEs26(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_esEs5(xy30, xy400, app(ty_[], ga)) -> new_esEs21(xy30, xy400, ga) new_esEs26(xy301, xy4001, app(ty_[], bgd)) -> new_esEs21(xy301, xy4001, bgd) new_esEs26(xy301, xy4001, ty_Char) -> new_esEs8(xy301, xy4001) new_esEs15(Just(xy300), Just(xy4000), ty_@0) -> new_esEs18(xy300, xy4000) new_esEs15(Nothing, Just(xy4000), he) -> False new_esEs15(Just(xy300), Nothing, he) -> False new_esEs27(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs21([], [], gb) -> True new_esEs23(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_primMulNat0(Zero, Zero) -> Zero new_esEs15(Nothing, Nothing, he) -> True new_esEs5(xy30, xy400, app(ty_Ratio, eh)) -> new_esEs9(xy30, xy400, eh) new_esEs15(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs27(xy300, xy4000, app(app(app(ty_@3, bha), bhb), bhc)) -> new_esEs16(xy300, xy4000, bha, bhb, bhc) new_esEs27(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_Either, cc), cd), bh) -> new_esEs13(xy300, xy4000, cc, cd) new_esEs4(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs12(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs26(xy301, xy4001, app(app(ty_@2, bgb), bgc)) -> new_esEs19(xy301, xy4001, bgb, bgc) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_@2, da), db), bh) -> new_esEs19(xy300, xy4000, da, db) new_esEs13(Left(xy300), Left(xy4000), ty_Double, bh) -> new_esEs14(xy300, xy4000) new_esEs23(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Ordering, bh) -> new_esEs17(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs17(EQ, GT) -> False new_esEs17(GT, EQ) -> False new_esEs24(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs20(False, True) -> False new_esEs20(True, False) -> False new_esEs24(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs27(xy300, xy4000, app(ty_Ratio, bgf)) -> new_esEs9(xy300, xy4000, bgf) new_esEs25(xy302, xy4002, app(app(ty_@2, beh), bfa)) -> new_esEs19(xy302, xy4002, beh, bfa) new_esEs26(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs15(Just(xy300), Just(xy4000), app(ty_[], bdh)) -> new_esEs21(xy300, xy4000, bdh) new_esEs17(GT, GT) -> True new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, app(app(ty_@2, ed), ee)) -> new_esEs19(xy300, xy4000, ed, ee) new_esEs15(Just(xy300), Just(xy4000), app(ty_Maybe, bcg)) -> new_esEs15(xy300, xy4000, bcg) new_esEs5(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs13(Left(xy300), Left(xy4000), app(ty_Maybe, ca), bh) -> new_esEs15(xy300, xy4000, ca) new_esEs24(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs5(xy30, xy400, ty_@0) -> new_esEs18(xy30, xy400) new_esEs25(xy302, xy4002, app(ty_[], bfb)) -> new_esEs21(xy302, xy4002, bfb) new_esEs26(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) new_esEs7(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs4(xy30, xy400, app(ty_Ratio, bg)) -> new_esEs9(xy30, xy400, bg) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_esEs15(Just(xy300), Just(xy4000), app(app(ty_@2, bdf), bdg)) -> new_esEs19(xy300, xy4000, bdf, bdg) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs5(xy30, xy400, ty_Integer) -> new_esEs12(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs13(Left(xy300), Left(xy4000), app(ty_[], dc), bh) -> new_esEs21(xy300, xy4000, dc) new_esEs22(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs26(xy301, xy4001, app(app(app(ty_@3, bfg), bfh), bga)) -> new_esEs16(xy301, xy4001, bfg, bfh, bga) new_esEs22(xy300, xy4000, app(ty_Ratio, gd)) -> new_esEs9(xy300, xy4000, gd) new_esEs24(xy300, xy4000, app(app(ty_Either, bbg), bbh)) -> new_esEs13(xy300, xy4000, bbg, bbh) new_esEs23(xy301, xy4001, app(app(ty_@2, bbb), bbc)) -> new_esEs19(xy301, xy4001, bbb, bbc) new_esEs24(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs20(False, False) -> True new_esEs26(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs25(xy302, xy4002, app(ty_Maybe, bea)) -> new_esEs15(xy302, xy4002, bea) new_esEs4(xy30, xy400, app(ty_[], gb)) -> new_esEs21(xy30, xy400, gb) new_esEs23(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) new_esEs19(@2(xy300, xy301), @2(xy4000, xy4001), baa, bab) -> new_asAs(new_esEs24(xy300, xy4000, baa), new_esEs23(xy301, xy4001, bab)) new_esEs15(Just(xy300), Just(xy4000), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs16(xy300, xy4000, bdc, bdd, bde) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs23(xy301, xy4001, app(ty_[], bbd)) -> new_esEs21(xy301, xy4001, bbd) new_esEs27(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs15(Just(xy300), Just(xy4000), ty_Char) -> new_esEs8(xy300, xy4000) new_esEs23(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) new_esEs4(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) new_esEs15(Just(xy300), Just(xy4000), ty_Double) -> new_esEs14(xy300, xy4000) new_esEs23(xy301, xy4001, app(ty_Maybe, bac)) -> new_esEs15(xy301, xy4001, bac) new_esEs10(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_esEs14(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs5(xy30, xy400, ty_Bool) -> new_esEs20(xy30, xy400) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_Integer, bh) -> new_esEs12(xy300, xy4000) new_esEs26(xy301, xy4001, ty_Bool) -> new_esEs20(xy301, xy4001) new_esEs5(xy30, xy400, app(app(ty_Either, fa), fb)) -> new_esEs13(xy30, xy400, fa, fb) new_primPlusNat0(Succ(xy3600), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat0(xy3600, xy4001000))) new_esEs27(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs11(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(ty_Either, ge), gf)) -> new_esEs13(xy300, xy4000, ge, gf) new_esEs4(xy30, xy400, ty_Char) -> new_esEs8(xy30, xy400) new_esEs25(xy302, xy4002, ty_Double) -> new_esEs14(xy302, xy4002) new_esEs17(EQ, EQ) -> True new_esEs27(xy300, xy4000, app(ty_Maybe, bge)) -> new_esEs15(xy300, xy4000, bge) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs24(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs17(LT, EQ) -> False new_esEs17(EQ, LT) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs23(xy301, xy4001, ty_Char) -> new_esEs8(xy301, xy4001) new_esEs16(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, hh) -> new_asAs(new_esEs27(xy300, xy4000, hf), new_asAs(new_esEs26(xy301, xy4001, hg), new_esEs25(xy302, xy4002, hh))) new_esEs4(xy30, xy400, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs16(xy30, xy400, hf, hg, hh) new_esEs13(Left(xy300), Left(xy4000), ty_Char, bh) -> new_esEs8(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs23(xy301, xy4001, app(ty_Ratio, bad)) -> new_esEs9(xy301, xy4001, bad) new_esEs25(xy302, xy4002, app(app(app(ty_@3, bee), bef), beg)) -> new_esEs16(xy302, xy4002, bee, bef, beg) new_esEs21(:(xy300, xy301), [], gb) -> False new_esEs21([], :(xy4000, xy4001), gb) -> False new_esEs13(Left(xy300), Left(xy4000), ty_Bool, bh) -> new_esEs20(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_Float, bh) -> new_esEs6(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), app(app(app(ty_@3, ce), cf), cg), bh) -> new_esEs16(xy300, xy4000, ce, cf, cg) new_esEs26(xy301, xy4001, app(ty_Ratio, bfd)) -> new_esEs9(xy301, xy4001, bfd) new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs13(Right(xy300), Right(xy4000), dd, app(app(ty_Either, dg), dh)) -> new_esEs13(xy300, xy4000, dg, dh) new_esEs15(Just(xy300), Just(xy4000), ty_Float) -> new_esEs6(xy300, xy4000) new_esEs4(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) new_esEs25(xy302, xy4002, ty_Float) -> new_esEs6(xy302, xy4002) new_esEs6(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_primPlusNat1(Succ(xy360), xy400100) -> Succ(Succ(new_primPlusNat0(xy360, xy400100))) new_esEs17(LT, GT) -> False new_esEs17(GT, LT) -> False new_esEs4(xy30, xy400, ty_@0) -> new_esEs18(xy30, xy400) new_esEs25(xy302, xy4002, ty_@0) -> new_esEs18(xy302, xy4002) new_esEs25(xy302, xy4002, app(ty_Ratio, beb)) -> new_esEs9(xy302, xy4002, beb) new_primPlusNat0(Succ(xy3600), Zero) -> Succ(xy3600) new_primPlusNat0(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs15(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs12(xy300, xy4000) new_primPlusNat1(Zero, xy400100) -> Succ(xy400100) new_esEs26(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) new_esEs22(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs20(True, True) -> True new_esEs25(xy302, xy4002, ty_Char) -> new_esEs8(xy302, xy4002) new_esEs27(xy300, xy4000, app(app(ty_Either, bgg), bgh)) -> new_esEs13(xy300, xy4000, bgg, bgh) new_esEs27(xy300, xy4000, app(ty_[], bhf)) -> new_esEs21(xy300, xy4000, bhf) new_esEs5(xy30, xy400, ty_Char) -> new_esEs8(xy30, xy400) new_esEs13(Right(xy300), Right(xy4000), dd, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs24(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_Ratio, bbf)) -> new_esEs9(xy300, xy4000, bbf) new_esEs27(xy300, xy4000, app(app(ty_@2, bhd), bhe)) -> new_esEs19(xy300, xy4000, bhd, bhe) new_esEs27(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs26(xy301, xy4001, app(app(ty_Either, bfe), bff)) -> new_esEs13(xy301, xy4001, bfe, bff) new_esEs22(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs9(:%(xy300, xy301), :%(xy4000, xy4001), bg) -> new_asAs(new_esEs11(xy300, xy4000, bg), new_esEs10(xy301, xy4001, bg)) new_esEs22(xy300, xy4000, app(ty_Maybe, gc)) -> new_esEs15(xy300, xy4000, gc) new_esEs25(xy302, xy4002, ty_Int) -> new_esEs7(xy302, xy4002) new_esEs5(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) new_primEqNat0(Zero, Zero) -> True new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_Ratio, df)) -> new_esEs9(xy300, xy4000, df) new_asAs(False, xy35) -> False new_esEs15(Just(xy300), Just(xy4000), ty_Int) -> new_esEs7(xy300, xy4000) new_esEs8(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs23(xy301, xy4001, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs16(xy301, xy4001, bag, bah, bba) new_esEs22(xy300, xy4000, app(ty_[], hd)) -> new_esEs21(xy300, xy4000, hd) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs5(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs4(xy30, xy400, app(app(ty_@2, baa), bab)) -> new_esEs19(xy30, xy400, baa, bab) new_esEs4(xy30, xy400, app(ty_Maybe, he)) -> new_esEs15(xy30, xy400, he) new_esEs15(Just(xy300), Just(xy4000), app(ty_Ratio, bch)) -> new_esEs9(xy300, xy4000, bch) new_esEs5(xy30, xy400, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs16(xy30, xy400, fc, fd, ff) new_esEs23(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs13(Right(xy300), Right(xy4000), dd, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs16(xy300, xy4000, ea, eb, ec) new_esEs13(Left(xy300), Left(xy4000), app(ty_Ratio, cb), bh) -> new_esEs9(xy300, xy4000, cb) new_esEs24(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) The set Q consists of the following terms: new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs15(Just(x0), Just(x1), ty_@0) new_esEs4(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_esEs25(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_@0) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Bool) new_esEs15(Just(x0), Just(x1), ty_Bool) new_esEs13(Left(x0), Left(x1), ty_Bool, x2) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_sr(Neg(x0), Neg(x1)) new_primMulNat0(Zero, Zero) new_esEs6(Float(x0, x1), Float(x2, x3)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_@0) new_esEs24(x0, x1, ty_@0) new_esEs4(x0, x1, app(ty_[], x2)) new_asAs(True, x0) new_esEs23(x0, x1, ty_@0) new_esEs13(Left(x0), Left(x1), ty_@0, x2) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primMulNat0(Zero, Succ(x0)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(:(x0, x1), [], x2) new_esEs7(x0, x1) new_esEs22(x0, x1, ty_Bool) new_esEs20(False, True) new_esEs20(True, False) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_Char) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs5(x0, x1, ty_Integer) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(ty_[], x2)) new_sr(Pos(x0), Pos(x1)) new_esEs11(x0, x1, ty_Int) new_primPlusNat0(Zero, Zero) new_primMulNat0(Succ(x0), Zero) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs15(Just(x0), Just(x1), ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Ordering) new_primEqNat0(Succ(x0), Succ(x1)) new_primPlusNat0(Succ(x0), Zero) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs25(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs15(Just(x0), Nothing, x1) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs12(Integer(x0), Integer(x1)) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) new_esEs10(x0, x1, ty_Integer) new_esEs17(LT, EQ) new_esEs17(EQ, LT) new_primPlusNat1(Succ(x0), x1) new_esEs24(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs25(x0, x1, ty_Double) new_esEs9(:%(x0, x1), :%(x2, x3), x4) new_esEs13(Left(x0), Right(x1), x2, x3) new_esEs13(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, ty_Int) new_esEs17(GT, GT) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Bool) new_esEs17(EQ, GT) new_esEs17(GT, EQ) new_esEs13(Right(x0), Right(x1), x2, ty_Integer) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs21([], [], x0) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs13(Left(x0), Left(x1), ty_Integer, x2) new_esEs23(x0, x1, ty_Integer) new_esEs17(EQ, EQ) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Nothing, Nothing, x0) new_esEs20(False, False) new_esEs22(x0, x1, ty_Float) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs25(x0, x1, ty_Bool) new_primPlusNat0(Zero, Succ(x0)) new_esEs26(x0, x1, ty_Integer) new_esEs15(Nothing, Just(x0), x1) new_esEs11(x0, x1, ty_Integer) new_esEs15(Just(x0), Just(x1), ty_Double) new_esEs17(LT, GT) new_esEs17(GT, LT) new_esEs16(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs4(x0, x1, ty_Int) new_esEs15(Just(x0), Just(x1), ty_Float) new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Double) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs13(Left(x0), Left(x1), ty_Int, x2) new_esEs13(Right(x0), Right(x1), x2, ty_Char) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(True, True) new_esEs25(x0, x1, ty_Int) new_asAs(False, x0) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) new_esEs25(x0, x1, ty_Char) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs5(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs21(:(x0, x1), :(x2, x3), x4) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Float) new_esEs25(x0, x1, ty_Ordering) new_esEs13(Left(x0), Left(x1), ty_Char, x2) new_esEs27(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Double) new_esEs4(x0, x1, ty_Ordering) new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) new_primPlusNat1(Zero, x0) new_esEs25(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Double) new_esEs23(x0, x1, ty_Char) new_esEs18(@0, @0) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs13(Left(x0), Left(x1), ty_Double, x2) new_esEs19(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs13(Right(x0), Right(x1), x2, ty_Bool) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, ty_Integer) new_primEqNat0(Zero, Zero) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs27(x0, x1, ty_Bool) new_esEs13(Right(x0), Right(x1), x2, ty_Double) new_esEs17(LT, LT) new_esEs24(x0, x1, ty_Int) new_esEs26(x0, x1, ty_Char) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Zero) new_esEs5(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(Char(x0), Char(x1)) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs13(Right(x0), Right(x1), x2, ty_Int) new_esEs27(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_@0) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs26(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21([], :(x0, x1), x2) new_esEs22(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Double) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Bool) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs5(x0, x1, ty_Double) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs5(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, ty_@0) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs23(x0, x1, ty_Float) new_esEs27(x0, x1, ty_Double) new_esEs13(Left(x0), Left(x1), ty_Float, x2) new_esEs14(Double(x0, x1), Double(x2, x3)) new_esEs27(x0, x1, ty_Char) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs10(x0, x1, ty_Int) new_esEs13(Right(x0), Right(x1), x2, ty_Float) new_esEs24(x0, x1, ty_Char) new_primEqNat0(Zero, Succ(x0)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs26(x0, x1, ty_Float) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (10) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (11) Complex Obligation (AND) ---------------------------------------- (12) 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_esEs26(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs11(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_[], ef)) -> new_esEs21(xy300, xy4000, ef) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primPlusNat0(Zero, Zero) -> Zero new_esEs13(Left(xy300), Left(xy4000), ty_Int, bh) -> new_esEs7(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(app(ty_@3, gg), gh), ha)) -> new_esEs16(xy300, xy4000, gg, gh, ha) new_esEs22(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs5(xy30, xy400, app(ty_Maybe, eg)) -> new_esEs15(xy30, xy400, eg) new_esEs24(xy300, xy4000, app(ty_Maybe, bbe)) -> new_esEs15(xy300, xy4000, bbe) new_esEs27(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(ty_@2, hb), hc)) -> new_esEs19(xy300, xy4000, hb, hc) new_esEs4(xy30, xy400, app(app(ty_Either, dd), bh)) -> new_esEs13(xy30, xy400, dd, bh) new_esEs10(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs23(xy301, xy4001, app(app(ty_Either, bae), baf)) -> new_esEs13(xy301, xy4001, bae, baf) new_esEs25(xy302, xy4002, ty_Ordering) -> new_esEs17(xy302, xy4002) new_esEs15(Just(xy300), Just(xy4000), app(app(ty_Either, bda), bdb)) -> new_esEs13(xy300, xy4000, bda, bdb) new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_Maybe, de)) -> new_esEs15(xy300, xy4000, de) new_esEs24(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs26(xy301, xy4001, app(ty_Maybe, bfc)) -> new_esEs15(xy301, xy4001, bfc) new_esEs25(xy302, xy4002, ty_Integer) -> new_esEs12(xy302, xy4002) new_esEs18(@0, @0) -> True new_esEs21(:(xy300, xy301), :(xy4000, xy4001), gb) -> new_asAs(new_esEs22(xy300, xy4000, gb), new_esEs21(xy301, xy4001, gb)) new_esEs22(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_[], bcf)) -> new_esEs21(xy300, xy4000, bcf) new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat1(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs25(xy302, xy4002, app(app(ty_Either, bec), bed)) -> new_esEs13(xy302, xy4002, bec, bed) new_esEs13(Left(xy300), Right(xy4000), dd, bh) -> False new_esEs13(Right(xy300), Left(xy4000), dd, bh) -> False new_esEs24(xy300, xy4000, app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs16(xy300, xy4000, bca, bcb, bcc) new_asAs(True, xy35) -> xy35 new_esEs15(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs12(xy30, xy400) new_esEs5(xy30, xy400, app(app(ty_@2, fg), fh)) -> new_esEs19(xy30, xy400, fg, fh) new_esEs4(xy30, xy400, ty_Bool) -> new_esEs20(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs25(xy302, xy4002, ty_Bool) -> new_esEs20(xy302, xy4002) new_esEs17(LT, LT) -> True new_esEs23(xy301, xy4001, ty_Bool) -> new_esEs20(xy301, xy4001) new_esEs24(xy300, xy4000, app(app(ty_@2, bcd), bce)) -> new_esEs19(xy300, xy4000, bcd, bce) new_esEs27(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs27(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs13(Left(xy300), Left(xy4000), ty_@0, bh) -> new_esEs18(xy300, xy4000) new_esEs5(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) new_esEs26(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_esEs5(xy30, xy400, app(ty_[], ga)) -> new_esEs21(xy30, xy400, ga) new_esEs26(xy301, xy4001, app(ty_[], bgd)) -> new_esEs21(xy301, xy4001, bgd) new_esEs26(xy301, xy4001, ty_Char) -> new_esEs8(xy301, xy4001) new_esEs15(Just(xy300), Just(xy4000), ty_@0) -> new_esEs18(xy300, xy4000) new_esEs15(Nothing, Just(xy4000), he) -> False new_esEs15(Just(xy300), Nothing, he) -> False new_esEs27(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs21([], [], gb) -> True new_esEs23(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_primMulNat0(Zero, Zero) -> Zero new_esEs15(Nothing, Nothing, he) -> True new_esEs5(xy30, xy400, app(ty_Ratio, eh)) -> new_esEs9(xy30, xy400, eh) new_esEs15(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs27(xy300, xy4000, app(app(app(ty_@3, bha), bhb), bhc)) -> new_esEs16(xy300, xy4000, bha, bhb, bhc) new_esEs27(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_Either, cc), cd), bh) -> new_esEs13(xy300, xy4000, cc, cd) new_esEs4(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs12(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs26(xy301, xy4001, app(app(ty_@2, bgb), bgc)) -> new_esEs19(xy301, xy4001, bgb, bgc) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_@2, da), db), bh) -> new_esEs19(xy300, xy4000, da, db) new_esEs13(Left(xy300), Left(xy4000), ty_Double, bh) -> new_esEs14(xy300, xy4000) new_esEs23(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Ordering, bh) -> new_esEs17(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs17(EQ, GT) -> False new_esEs17(GT, EQ) -> False new_esEs24(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs20(False, True) -> False new_esEs20(True, False) -> False new_esEs24(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs27(xy300, xy4000, app(ty_Ratio, bgf)) -> new_esEs9(xy300, xy4000, bgf) new_esEs25(xy302, xy4002, app(app(ty_@2, beh), bfa)) -> new_esEs19(xy302, xy4002, beh, bfa) new_esEs26(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs15(Just(xy300), Just(xy4000), app(ty_[], bdh)) -> new_esEs21(xy300, xy4000, bdh) new_esEs17(GT, GT) -> True new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, app(app(ty_@2, ed), ee)) -> new_esEs19(xy300, xy4000, ed, ee) new_esEs15(Just(xy300), Just(xy4000), app(ty_Maybe, bcg)) -> new_esEs15(xy300, xy4000, bcg) new_esEs5(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs13(Left(xy300), Left(xy4000), app(ty_Maybe, ca), bh) -> new_esEs15(xy300, xy4000, ca) new_esEs24(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs5(xy30, xy400, ty_@0) -> new_esEs18(xy30, xy400) new_esEs25(xy302, xy4002, app(ty_[], bfb)) -> new_esEs21(xy302, xy4002, bfb) new_esEs26(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) new_esEs7(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs4(xy30, xy400, app(ty_Ratio, bg)) -> new_esEs9(xy30, xy400, bg) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_esEs15(Just(xy300), Just(xy4000), app(app(ty_@2, bdf), bdg)) -> new_esEs19(xy300, xy4000, bdf, bdg) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs5(xy30, xy400, ty_Integer) -> new_esEs12(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs13(Left(xy300), Left(xy4000), app(ty_[], dc), bh) -> new_esEs21(xy300, xy4000, dc) new_esEs22(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs26(xy301, xy4001, app(app(app(ty_@3, bfg), bfh), bga)) -> new_esEs16(xy301, xy4001, bfg, bfh, bga) new_esEs22(xy300, xy4000, app(ty_Ratio, gd)) -> new_esEs9(xy300, xy4000, gd) new_esEs24(xy300, xy4000, app(app(ty_Either, bbg), bbh)) -> new_esEs13(xy300, xy4000, bbg, bbh) new_esEs23(xy301, xy4001, app(app(ty_@2, bbb), bbc)) -> new_esEs19(xy301, xy4001, bbb, bbc) new_esEs24(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs20(False, False) -> True new_esEs26(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs25(xy302, xy4002, app(ty_Maybe, bea)) -> new_esEs15(xy302, xy4002, bea) new_esEs4(xy30, xy400, app(ty_[], gb)) -> new_esEs21(xy30, xy400, gb) new_esEs23(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) new_esEs19(@2(xy300, xy301), @2(xy4000, xy4001), baa, bab) -> new_asAs(new_esEs24(xy300, xy4000, baa), new_esEs23(xy301, xy4001, bab)) new_esEs15(Just(xy300), Just(xy4000), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs16(xy300, xy4000, bdc, bdd, bde) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs23(xy301, xy4001, app(ty_[], bbd)) -> new_esEs21(xy301, xy4001, bbd) new_esEs27(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs15(Just(xy300), Just(xy4000), ty_Char) -> new_esEs8(xy300, xy4000) new_esEs23(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) new_esEs4(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) new_esEs15(Just(xy300), Just(xy4000), ty_Double) -> new_esEs14(xy300, xy4000) new_esEs23(xy301, xy4001, app(ty_Maybe, bac)) -> new_esEs15(xy301, xy4001, bac) new_esEs10(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_esEs14(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs5(xy30, xy400, ty_Bool) -> new_esEs20(xy30, xy400) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_Integer, bh) -> new_esEs12(xy300, xy4000) new_esEs26(xy301, xy4001, ty_Bool) -> new_esEs20(xy301, xy4001) new_esEs5(xy30, xy400, app(app(ty_Either, fa), fb)) -> new_esEs13(xy30, xy400, fa, fb) new_primPlusNat0(Succ(xy3600), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat0(xy3600, xy4001000))) new_esEs27(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs11(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(ty_Either, ge), gf)) -> new_esEs13(xy300, xy4000, ge, gf) new_esEs4(xy30, xy400, ty_Char) -> new_esEs8(xy30, xy400) new_esEs25(xy302, xy4002, ty_Double) -> new_esEs14(xy302, xy4002) new_esEs17(EQ, EQ) -> True new_esEs27(xy300, xy4000, app(ty_Maybe, bge)) -> new_esEs15(xy300, xy4000, bge) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs24(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs17(LT, EQ) -> False new_esEs17(EQ, LT) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs23(xy301, xy4001, ty_Char) -> new_esEs8(xy301, xy4001) new_esEs16(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, hh) -> new_asAs(new_esEs27(xy300, xy4000, hf), new_asAs(new_esEs26(xy301, xy4001, hg), new_esEs25(xy302, xy4002, hh))) new_esEs4(xy30, xy400, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs16(xy30, xy400, hf, hg, hh) new_esEs13(Left(xy300), Left(xy4000), ty_Char, bh) -> new_esEs8(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs23(xy301, xy4001, app(ty_Ratio, bad)) -> new_esEs9(xy301, xy4001, bad) new_esEs25(xy302, xy4002, app(app(app(ty_@3, bee), bef), beg)) -> new_esEs16(xy302, xy4002, bee, bef, beg) new_esEs21(:(xy300, xy301), [], gb) -> False new_esEs21([], :(xy4000, xy4001), gb) -> False new_esEs13(Left(xy300), Left(xy4000), ty_Bool, bh) -> new_esEs20(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_Float, bh) -> new_esEs6(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), app(app(app(ty_@3, ce), cf), cg), bh) -> new_esEs16(xy300, xy4000, ce, cf, cg) new_esEs26(xy301, xy4001, app(ty_Ratio, bfd)) -> new_esEs9(xy301, xy4001, bfd) new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs13(Right(xy300), Right(xy4000), dd, app(app(ty_Either, dg), dh)) -> new_esEs13(xy300, xy4000, dg, dh) new_esEs15(Just(xy300), Just(xy4000), ty_Float) -> new_esEs6(xy300, xy4000) new_esEs4(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) new_esEs25(xy302, xy4002, ty_Float) -> new_esEs6(xy302, xy4002) new_esEs6(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_primPlusNat1(Succ(xy360), xy400100) -> Succ(Succ(new_primPlusNat0(xy360, xy400100))) new_esEs17(LT, GT) -> False new_esEs17(GT, LT) -> False new_esEs4(xy30, xy400, ty_@0) -> new_esEs18(xy30, xy400) new_esEs25(xy302, xy4002, ty_@0) -> new_esEs18(xy302, xy4002) new_esEs25(xy302, xy4002, app(ty_Ratio, beb)) -> new_esEs9(xy302, xy4002, beb) new_primPlusNat0(Succ(xy3600), Zero) -> Succ(xy3600) new_primPlusNat0(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs15(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs12(xy300, xy4000) new_primPlusNat1(Zero, xy400100) -> Succ(xy400100) new_esEs26(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) new_esEs22(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs20(True, True) -> True new_esEs25(xy302, xy4002, ty_Char) -> new_esEs8(xy302, xy4002) new_esEs27(xy300, xy4000, app(app(ty_Either, bgg), bgh)) -> new_esEs13(xy300, xy4000, bgg, bgh) new_esEs27(xy300, xy4000, app(ty_[], bhf)) -> new_esEs21(xy300, xy4000, bhf) new_esEs5(xy30, xy400, ty_Char) -> new_esEs8(xy30, xy400) new_esEs13(Right(xy300), Right(xy4000), dd, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs24(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_Ratio, bbf)) -> new_esEs9(xy300, xy4000, bbf) new_esEs27(xy300, xy4000, app(app(ty_@2, bhd), bhe)) -> new_esEs19(xy300, xy4000, bhd, bhe) new_esEs27(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs26(xy301, xy4001, app(app(ty_Either, bfe), bff)) -> new_esEs13(xy301, xy4001, bfe, bff) new_esEs22(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs9(:%(xy300, xy301), :%(xy4000, xy4001), bg) -> new_asAs(new_esEs11(xy300, xy4000, bg), new_esEs10(xy301, xy4001, bg)) new_esEs22(xy300, xy4000, app(ty_Maybe, gc)) -> new_esEs15(xy300, xy4000, gc) new_esEs25(xy302, xy4002, ty_Int) -> new_esEs7(xy302, xy4002) new_esEs5(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) new_primEqNat0(Zero, Zero) -> True new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_Ratio, df)) -> new_esEs9(xy300, xy4000, df) new_asAs(False, xy35) -> False new_esEs15(Just(xy300), Just(xy4000), ty_Int) -> new_esEs7(xy300, xy4000) new_esEs8(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs23(xy301, xy4001, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs16(xy301, xy4001, bag, bah, bba) new_esEs22(xy300, xy4000, app(ty_[], hd)) -> new_esEs21(xy300, xy4000, hd) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs5(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs4(xy30, xy400, app(app(ty_@2, baa), bab)) -> new_esEs19(xy30, xy400, baa, bab) new_esEs4(xy30, xy400, app(ty_Maybe, he)) -> new_esEs15(xy30, xy400, he) new_esEs15(Just(xy300), Just(xy4000), app(ty_Ratio, bch)) -> new_esEs9(xy300, xy4000, bch) new_esEs5(xy30, xy400, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs16(xy30, xy400, fc, fd, ff) new_esEs23(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs13(Right(xy300), Right(xy4000), dd, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs16(xy300, xy4000, ea, eb, ec) new_esEs13(Left(xy300), Left(xy4000), app(ty_Ratio, cb), bh) -> new_esEs9(xy300, xy4000, cb) new_esEs24(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) The set Q consists of the following terms: new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs15(Just(x0), Just(x1), ty_@0) new_esEs4(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_esEs25(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_@0) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Bool) new_esEs15(Just(x0), Just(x1), ty_Bool) new_esEs13(Left(x0), Left(x1), ty_Bool, x2) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_sr(Neg(x0), Neg(x1)) new_primMulNat0(Zero, Zero) new_esEs6(Float(x0, x1), Float(x2, x3)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_@0) new_esEs24(x0, x1, ty_@0) new_esEs4(x0, x1, app(ty_[], x2)) new_asAs(True, x0) new_esEs23(x0, x1, ty_@0) new_esEs13(Left(x0), Left(x1), ty_@0, x2) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primMulNat0(Zero, Succ(x0)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(:(x0, x1), [], x2) new_esEs7(x0, x1) new_esEs22(x0, x1, ty_Bool) new_esEs20(False, True) new_esEs20(True, False) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_Char) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs5(x0, x1, ty_Integer) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(ty_[], x2)) new_sr(Pos(x0), Pos(x1)) new_esEs11(x0, x1, ty_Int) new_primPlusNat0(Zero, Zero) new_primMulNat0(Succ(x0), Zero) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs15(Just(x0), Just(x1), ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Ordering) new_primEqNat0(Succ(x0), Succ(x1)) new_primPlusNat0(Succ(x0), Zero) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs25(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs15(Just(x0), Nothing, x1) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs12(Integer(x0), Integer(x1)) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) new_esEs10(x0, x1, ty_Integer) new_esEs17(LT, EQ) new_esEs17(EQ, LT) new_primPlusNat1(Succ(x0), x1) new_esEs24(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs25(x0, x1, ty_Double) new_esEs9(:%(x0, x1), :%(x2, x3), x4) new_esEs13(Left(x0), Right(x1), x2, x3) new_esEs13(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, ty_Int) new_esEs17(GT, GT) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Bool) new_esEs17(EQ, GT) new_esEs17(GT, EQ) new_esEs13(Right(x0), Right(x1), x2, ty_Integer) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs21([], [], x0) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs13(Left(x0), Left(x1), ty_Integer, x2) new_esEs23(x0, x1, ty_Integer) new_esEs17(EQ, EQ) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Nothing, Nothing, x0) new_esEs20(False, False) new_esEs22(x0, x1, ty_Float) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs25(x0, x1, ty_Bool) new_primPlusNat0(Zero, Succ(x0)) new_esEs26(x0, x1, ty_Integer) new_esEs15(Nothing, Just(x0), x1) new_esEs11(x0, x1, ty_Integer) new_esEs15(Just(x0), Just(x1), ty_Double) new_esEs17(LT, GT) new_esEs17(GT, LT) new_esEs16(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs4(x0, x1, ty_Int) new_esEs15(Just(x0), Just(x1), ty_Float) new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Double) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs13(Left(x0), Left(x1), ty_Int, x2) new_esEs13(Right(x0), Right(x1), x2, ty_Char) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(True, True) new_esEs25(x0, x1, ty_Int) new_asAs(False, x0) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) new_esEs25(x0, x1, ty_Char) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs5(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs21(:(x0, x1), :(x2, x3), x4) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Float) new_esEs25(x0, x1, ty_Ordering) new_esEs13(Left(x0), Left(x1), ty_Char, x2) new_esEs27(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Double) new_esEs4(x0, x1, ty_Ordering) new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) new_primPlusNat1(Zero, x0) new_esEs25(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Double) new_esEs23(x0, x1, ty_Char) new_esEs18(@0, @0) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs13(Left(x0), Left(x1), ty_Double, x2) new_esEs19(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs13(Right(x0), Right(x1), x2, ty_Bool) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, ty_Integer) new_primEqNat0(Zero, Zero) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs27(x0, x1, ty_Bool) new_esEs13(Right(x0), Right(x1), x2, ty_Double) new_esEs17(LT, LT) new_esEs24(x0, x1, ty_Int) new_esEs26(x0, x1, ty_Char) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Zero) new_esEs5(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(Char(x0), Char(x1)) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs13(Right(x0), Right(x1), x2, ty_Int) new_esEs27(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_@0) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs26(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21([], :(x0, x1), x2) new_esEs22(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Double) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Bool) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs5(x0, x1, ty_Double) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs5(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, ty_@0) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs23(x0, x1, ty_Float) new_esEs27(x0, x1, ty_Double) new_esEs13(Left(x0), Left(x1), ty_Float, x2) new_esEs14(Double(x0, x1), Double(x2, x3)) new_esEs27(x0, x1, ty_Char) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs10(x0, x1, ty_Int) new_esEs13(Right(x0), Right(x1), x2, ty_Float) new_esEs24(x0, x1, ty_Char) new_primEqNat0(Zero, Succ(x0)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs26(x0, x1, ty_Float) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (13) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_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 ---------------------------------------- (14) YES ---------------------------------------- (15) 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_esEs26(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs11(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_[], ef)) -> new_esEs21(xy300, xy4000, ef) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primPlusNat0(Zero, Zero) -> Zero new_esEs13(Left(xy300), Left(xy4000), ty_Int, bh) -> new_esEs7(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(app(ty_@3, gg), gh), ha)) -> new_esEs16(xy300, xy4000, gg, gh, ha) new_esEs22(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs5(xy30, xy400, app(ty_Maybe, eg)) -> new_esEs15(xy30, xy400, eg) new_esEs24(xy300, xy4000, app(ty_Maybe, bbe)) -> new_esEs15(xy300, xy4000, bbe) new_esEs27(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(ty_@2, hb), hc)) -> new_esEs19(xy300, xy4000, hb, hc) new_esEs4(xy30, xy400, app(app(ty_Either, dd), bh)) -> new_esEs13(xy30, xy400, dd, bh) new_esEs10(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs23(xy301, xy4001, app(app(ty_Either, bae), baf)) -> new_esEs13(xy301, xy4001, bae, baf) new_esEs25(xy302, xy4002, ty_Ordering) -> new_esEs17(xy302, xy4002) new_esEs15(Just(xy300), Just(xy4000), app(app(ty_Either, bda), bdb)) -> new_esEs13(xy300, xy4000, bda, bdb) new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_Maybe, de)) -> new_esEs15(xy300, xy4000, de) new_esEs24(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs26(xy301, xy4001, app(ty_Maybe, bfc)) -> new_esEs15(xy301, xy4001, bfc) new_esEs25(xy302, xy4002, ty_Integer) -> new_esEs12(xy302, xy4002) new_esEs18(@0, @0) -> True new_esEs21(:(xy300, xy301), :(xy4000, xy4001), gb) -> new_asAs(new_esEs22(xy300, xy4000, gb), new_esEs21(xy301, xy4001, gb)) new_esEs22(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_[], bcf)) -> new_esEs21(xy300, xy4000, bcf) new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat1(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs25(xy302, xy4002, app(app(ty_Either, bec), bed)) -> new_esEs13(xy302, xy4002, bec, bed) new_esEs13(Left(xy300), Right(xy4000), dd, bh) -> False new_esEs13(Right(xy300), Left(xy4000), dd, bh) -> False new_esEs24(xy300, xy4000, app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs16(xy300, xy4000, bca, bcb, bcc) new_asAs(True, xy35) -> xy35 new_esEs15(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs12(xy30, xy400) new_esEs5(xy30, xy400, app(app(ty_@2, fg), fh)) -> new_esEs19(xy30, xy400, fg, fh) new_esEs4(xy30, xy400, ty_Bool) -> new_esEs20(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs25(xy302, xy4002, ty_Bool) -> new_esEs20(xy302, xy4002) new_esEs17(LT, LT) -> True new_esEs23(xy301, xy4001, ty_Bool) -> new_esEs20(xy301, xy4001) new_esEs24(xy300, xy4000, app(app(ty_@2, bcd), bce)) -> new_esEs19(xy300, xy4000, bcd, bce) new_esEs27(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs27(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs13(Left(xy300), Left(xy4000), ty_@0, bh) -> new_esEs18(xy300, xy4000) new_esEs5(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) new_esEs26(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_esEs5(xy30, xy400, app(ty_[], ga)) -> new_esEs21(xy30, xy400, ga) new_esEs26(xy301, xy4001, app(ty_[], bgd)) -> new_esEs21(xy301, xy4001, bgd) new_esEs26(xy301, xy4001, ty_Char) -> new_esEs8(xy301, xy4001) new_esEs15(Just(xy300), Just(xy4000), ty_@0) -> new_esEs18(xy300, xy4000) new_esEs15(Nothing, Just(xy4000), he) -> False new_esEs15(Just(xy300), Nothing, he) -> False new_esEs27(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs21([], [], gb) -> True new_esEs23(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_primMulNat0(Zero, Zero) -> Zero new_esEs15(Nothing, Nothing, he) -> True new_esEs5(xy30, xy400, app(ty_Ratio, eh)) -> new_esEs9(xy30, xy400, eh) new_esEs15(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs27(xy300, xy4000, app(app(app(ty_@3, bha), bhb), bhc)) -> new_esEs16(xy300, xy4000, bha, bhb, bhc) new_esEs27(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_Either, cc), cd), bh) -> new_esEs13(xy300, xy4000, cc, cd) new_esEs4(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs12(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs26(xy301, xy4001, app(app(ty_@2, bgb), bgc)) -> new_esEs19(xy301, xy4001, bgb, bgc) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_@2, da), db), bh) -> new_esEs19(xy300, xy4000, da, db) new_esEs13(Left(xy300), Left(xy4000), ty_Double, bh) -> new_esEs14(xy300, xy4000) new_esEs23(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Ordering, bh) -> new_esEs17(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Double) -> new_esEs14(xy300, xy4000) new_esEs17(EQ, GT) -> False new_esEs17(GT, EQ) -> False new_esEs24(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs20(False, True) -> False new_esEs20(True, False) -> False new_esEs24(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs27(xy300, xy4000, app(ty_Ratio, bgf)) -> new_esEs9(xy300, xy4000, bgf) new_esEs25(xy302, xy4002, app(app(ty_@2, beh), bfa)) -> new_esEs19(xy302, xy4002, beh, bfa) new_esEs26(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs15(Just(xy300), Just(xy4000), app(ty_[], bdh)) -> new_esEs21(xy300, xy4000, bdh) new_esEs17(GT, GT) -> True new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, app(app(ty_@2, ed), ee)) -> new_esEs19(xy300, xy4000, ed, ee) new_esEs15(Just(xy300), Just(xy4000), app(ty_Maybe, bcg)) -> new_esEs15(xy300, xy4000, bcg) new_esEs5(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs13(Left(xy300), Left(xy4000), app(ty_Maybe, ca), bh) -> new_esEs15(xy300, xy4000, ca) new_esEs24(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs5(xy30, xy400, ty_@0) -> new_esEs18(xy30, xy400) new_esEs25(xy302, xy4002, app(ty_[], bfb)) -> new_esEs21(xy302, xy4002, bfb) new_esEs26(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) new_esEs7(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs4(xy30, xy400, app(ty_Ratio, bg)) -> new_esEs9(xy30, xy400, bg) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_esEs15(Just(xy300), Just(xy4000), app(app(ty_@2, bdf), bdg)) -> new_esEs19(xy300, xy4000, bdf, bdg) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs5(xy30, xy400, ty_Integer) -> new_esEs12(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs13(Left(xy300), Left(xy4000), app(ty_[], dc), bh) -> new_esEs21(xy300, xy4000, dc) new_esEs22(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs26(xy301, xy4001, app(app(app(ty_@3, bfg), bfh), bga)) -> new_esEs16(xy301, xy4001, bfg, bfh, bga) new_esEs22(xy300, xy4000, app(ty_Ratio, gd)) -> new_esEs9(xy300, xy4000, gd) new_esEs24(xy300, xy4000, app(app(ty_Either, bbg), bbh)) -> new_esEs13(xy300, xy4000, bbg, bbh) new_esEs23(xy301, xy4001, app(app(ty_@2, bbb), bbc)) -> new_esEs19(xy301, xy4001, bbb, bbc) new_esEs24(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs20(False, False) -> True new_esEs26(xy301, xy4001, ty_Integer) -> new_esEs12(xy301, xy4001) new_esEs25(xy302, xy4002, app(ty_Maybe, bea)) -> new_esEs15(xy302, xy4002, bea) new_esEs4(xy30, xy400, app(ty_[], gb)) -> new_esEs21(xy30, xy400, gb) new_esEs23(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) new_esEs19(@2(xy300, xy301), @2(xy4000, xy4001), baa, bab) -> new_asAs(new_esEs24(xy300, xy4000, baa), new_esEs23(xy301, xy4001, bab)) new_esEs15(Just(xy300), Just(xy4000), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs16(xy300, xy4000, bdc, bdd, bde) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs23(xy301, xy4001, app(ty_[], bbd)) -> new_esEs21(xy301, xy4001, bbd) new_esEs27(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs15(Just(xy300), Just(xy4000), ty_Char) -> new_esEs8(xy300, xy4000) new_esEs23(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) new_esEs4(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) new_esEs15(Just(xy300), Just(xy4000), ty_Double) -> new_esEs14(xy300, xy4000) new_esEs23(xy301, xy4001, app(ty_Maybe, bac)) -> new_esEs15(xy301, xy4001, bac) new_esEs10(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) new_esEs14(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs5(xy30, xy400, ty_Bool) -> new_esEs20(xy30, xy400) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Float) -> new_esEs6(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_Integer, bh) -> new_esEs12(xy300, xy4000) new_esEs26(xy301, xy4001, ty_Bool) -> new_esEs20(xy301, xy4001) new_esEs5(xy30, xy400, app(app(ty_Either, fa), fb)) -> new_esEs13(xy30, xy400, fa, fb) new_primPlusNat0(Succ(xy3600), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat0(xy3600, xy4001000))) new_esEs27(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs11(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(ty_Either, ge), gf)) -> new_esEs13(xy300, xy4000, ge, gf) new_esEs4(xy30, xy400, ty_Char) -> new_esEs8(xy30, xy400) new_esEs25(xy302, xy4002, ty_Double) -> new_esEs14(xy302, xy4002) new_esEs17(EQ, EQ) -> True new_esEs27(xy300, xy4000, app(ty_Maybe, bge)) -> new_esEs15(xy300, xy4000, bge) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs24(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs17(LT, EQ) -> False new_esEs17(EQ, LT) -> False new_esEs13(Right(xy300), Right(xy4000), dd, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs23(xy301, xy4001, ty_Char) -> new_esEs8(xy301, xy4001) new_esEs16(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, hh) -> new_asAs(new_esEs27(xy300, xy4000, hf), new_asAs(new_esEs26(xy301, xy4001, hg), new_esEs25(xy302, xy4002, hh))) new_esEs4(xy30, xy400, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs16(xy30, xy400, hf, hg, hh) new_esEs13(Left(xy300), Left(xy4000), ty_Char, bh) -> new_esEs8(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs23(xy301, xy4001, app(ty_Ratio, bad)) -> new_esEs9(xy301, xy4001, bad) new_esEs25(xy302, xy4002, app(app(app(ty_@3, bee), bef), beg)) -> new_esEs16(xy302, xy4002, bee, bef, beg) new_esEs21(:(xy300, xy301), [], gb) -> False new_esEs21([], :(xy4000, xy4001), gb) -> False new_esEs13(Left(xy300), Left(xy4000), ty_Bool, bh) -> new_esEs20(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Char) -> new_esEs8(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_Float, bh) -> new_esEs6(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), app(app(app(ty_@3, ce), cf), cg), bh) -> new_esEs16(xy300, xy4000, ce, cf, cg) new_esEs26(xy301, xy4001, app(ty_Ratio, bfd)) -> new_esEs9(xy301, xy4001, bfd) new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs13(Right(xy300), Right(xy4000), dd, app(app(ty_Either, dg), dh)) -> new_esEs13(xy300, xy4000, dg, dh) new_esEs15(Just(xy300), Just(xy4000), ty_Float) -> new_esEs6(xy300, xy4000) new_esEs4(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) new_esEs25(xy302, xy4002, ty_Float) -> new_esEs6(xy302, xy4002) new_esEs6(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_primPlusNat1(Succ(xy360), xy400100) -> Succ(Succ(new_primPlusNat0(xy360, xy400100))) new_esEs17(LT, GT) -> False new_esEs17(GT, LT) -> False new_esEs4(xy30, xy400, ty_@0) -> new_esEs18(xy30, xy400) new_esEs25(xy302, xy4002, ty_@0) -> new_esEs18(xy302, xy4002) new_esEs25(xy302, xy4002, app(ty_Ratio, beb)) -> new_esEs9(xy302, xy4002, beb) new_primPlusNat0(Succ(xy3600), Zero) -> Succ(xy3600) new_primPlusNat0(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs15(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs12(xy300, xy4000) new_primPlusNat1(Zero, xy400100) -> Succ(xy400100) new_esEs26(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) new_esEs22(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs20(True, True) -> True new_esEs25(xy302, xy4002, ty_Char) -> new_esEs8(xy302, xy4002) new_esEs27(xy300, xy4000, app(app(ty_Either, bgg), bgh)) -> new_esEs13(xy300, xy4000, bgg, bgh) new_esEs27(xy300, xy4000, app(ty_[], bhf)) -> new_esEs21(xy300, xy4000, bhf) new_esEs5(xy30, xy400, ty_Char) -> new_esEs8(xy30, xy400) new_esEs13(Right(xy300), Right(xy4000), dd, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs24(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_Ratio, bbf)) -> new_esEs9(xy300, xy4000, bbf) new_esEs27(xy300, xy4000, app(app(ty_@2, bhd), bhe)) -> new_esEs19(xy300, xy4000, bhd, bhe) new_esEs27(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs26(xy301, xy4001, app(app(ty_Either, bfe), bff)) -> new_esEs13(xy301, xy4001, bfe, bff) new_esEs22(xy300, xy4000, ty_Bool) -> new_esEs20(xy300, xy4000) new_esEs9(:%(xy300, xy301), :%(xy4000, xy4001), bg) -> new_asAs(new_esEs11(xy300, xy4000, bg), new_esEs10(xy301, xy4001, bg)) new_esEs22(xy300, xy4000, app(ty_Maybe, gc)) -> new_esEs15(xy300, xy4000, gc) new_esEs25(xy302, xy4002, ty_Int) -> new_esEs7(xy302, xy4002) new_esEs5(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) new_primEqNat0(Zero, Zero) -> True new_esEs13(Right(xy300), Right(xy4000), dd, app(ty_Ratio, df)) -> new_esEs9(xy300, xy4000, df) new_asAs(False, xy35) -> False new_esEs15(Just(xy300), Just(xy4000), ty_Int) -> new_esEs7(xy300, xy4000) new_esEs8(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs23(xy301, xy4001, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs16(xy301, xy4001, bag, bah, bba) new_esEs22(xy300, xy4000, app(ty_[], hd)) -> new_esEs21(xy300, xy4000, hd) new_esEs13(Right(xy300), Right(xy4000), dd, ty_Integer) -> new_esEs12(xy300, xy4000) new_esEs5(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_esEs4(xy30, xy400, app(app(ty_@2, baa), bab)) -> new_esEs19(xy30, xy400, baa, bab) new_esEs4(xy30, xy400, app(ty_Maybe, he)) -> new_esEs15(xy30, xy400, he) new_esEs15(Just(xy300), Just(xy4000), app(ty_Ratio, bch)) -> new_esEs9(xy300, xy4000, bch) new_esEs5(xy30, xy400, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs16(xy30, xy400, fc, fd, ff) new_esEs23(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs13(Right(xy300), Right(xy4000), dd, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs16(xy300, xy4000, ea, eb, ec) new_esEs13(Left(xy300), Left(xy4000), app(ty_Ratio, cb), bh) -> new_esEs9(xy300, xy4000, cb) new_esEs24(xy300, xy4000, ty_Char) -> new_esEs8(xy300, xy4000) The set Q consists of the following terms: new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs15(Just(x0), Just(x1), ty_@0) new_esEs4(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_esEs25(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_@0) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Bool) new_esEs15(Just(x0), Just(x1), ty_Bool) new_esEs13(Left(x0), Left(x1), ty_Bool, x2) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_sr(Neg(x0), Neg(x1)) new_primMulNat0(Zero, Zero) new_esEs6(Float(x0, x1), Float(x2, x3)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_@0) new_esEs24(x0, x1, ty_@0) new_esEs4(x0, x1, app(ty_[], x2)) new_asAs(True, x0) new_esEs23(x0, x1, ty_@0) new_esEs13(Left(x0), Left(x1), ty_@0, x2) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primMulNat0(Zero, Succ(x0)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(:(x0, x1), [], x2) new_esEs7(x0, x1) new_esEs22(x0, x1, ty_Bool) new_esEs20(False, True) new_esEs20(True, False) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_Char) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs5(x0, x1, ty_Integer) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(ty_[], x2)) new_sr(Pos(x0), Pos(x1)) new_esEs11(x0, x1, ty_Int) new_primPlusNat0(Zero, Zero) new_primMulNat0(Succ(x0), Zero) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs15(Just(x0), Just(x1), ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Ordering) new_primEqNat0(Succ(x0), Succ(x1)) new_primPlusNat0(Succ(x0), Zero) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs25(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs15(Just(x0), Nothing, x1) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs12(Integer(x0), Integer(x1)) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) new_esEs10(x0, x1, ty_Integer) new_esEs17(LT, EQ) new_esEs17(EQ, LT) new_primPlusNat1(Succ(x0), x1) new_esEs24(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs25(x0, x1, ty_Double) new_esEs9(:%(x0, x1), :%(x2, x3), x4) new_esEs13(Left(x0), Right(x1), x2, x3) new_esEs13(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, ty_Int) new_esEs17(GT, GT) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Bool) new_esEs17(EQ, GT) new_esEs17(GT, EQ) new_esEs13(Right(x0), Right(x1), x2, ty_Integer) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs21([], [], x0) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs13(Left(x0), Left(x1), ty_Integer, x2) new_esEs23(x0, x1, ty_Integer) new_esEs17(EQ, EQ) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Nothing, Nothing, x0) new_esEs20(False, False) new_esEs22(x0, x1, ty_Float) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs25(x0, x1, ty_Bool) new_primPlusNat0(Zero, Succ(x0)) new_esEs26(x0, x1, ty_Integer) new_esEs15(Nothing, Just(x0), x1) new_esEs11(x0, x1, ty_Integer) new_esEs15(Just(x0), Just(x1), ty_Double) new_esEs17(LT, GT) new_esEs17(GT, LT) new_esEs16(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs4(x0, x1, ty_Int) new_esEs15(Just(x0), Just(x1), ty_Float) new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Double) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs13(Left(x0), Left(x1), ty_Int, x2) new_esEs13(Right(x0), Right(x1), x2, ty_Char) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(True, True) new_esEs25(x0, x1, ty_Int) new_asAs(False, x0) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) new_esEs25(x0, x1, ty_Char) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, ty_Ordering) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs5(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs21(:(x0, x1), :(x2, x3), x4) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Float) new_esEs25(x0, x1, ty_Ordering) new_esEs13(Left(x0), Left(x1), ty_Char, x2) new_esEs27(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Double) new_esEs4(x0, x1, ty_Ordering) new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) new_primPlusNat1(Zero, x0) new_esEs25(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Double) new_esEs23(x0, x1, ty_Char) new_esEs18(@0, @0) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs13(Left(x0), Left(x1), ty_Double, x2) new_esEs19(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs13(Right(x0), Right(x1), x2, ty_Bool) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, ty_Integer) new_primEqNat0(Zero, Zero) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs27(x0, x1, ty_Bool) new_esEs13(Right(x0), Right(x1), x2, ty_Double) new_esEs17(LT, LT) new_esEs24(x0, x1, ty_Int) new_esEs26(x0, x1, ty_Char) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Zero) new_esEs5(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(Char(x0), Char(x1)) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs13(Right(x0), Right(x1), x2, ty_Int) new_esEs27(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_@0) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs26(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21([], :(x0, x1), x2) new_esEs22(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs24(x0, x1, ty_Double) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Bool) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs5(x0, x1, ty_Double) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs5(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, ty_@0) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs23(x0, x1, ty_Float) new_esEs27(x0, x1, ty_Double) new_esEs13(Left(x0), Left(x1), ty_Float, x2) new_esEs14(Double(x0, x1), Double(x2, x3)) new_esEs27(x0, x1, ty_Char) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs10(x0, x1, ty_Int) new_esEs13(Right(x0), Right(x1), x2, ty_Float) new_esEs24(x0, x1, ty_Char) new_primEqNat0(Zero, Succ(x0)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs26(x0, x1, ty_Float) 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_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 ---------------------------------------- (17) YES ---------------------------------------- (18) 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. ---------------------------------------- (19) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (20) YES ---------------------------------------- (21) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(Just(xy300), Just(xy4000), app(app(ty_@2, bg), bh)) -> new_esEs2(xy300, xy4000, bg, bh) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(app(ty_Either, fb), fc)) -> new_esEs0(xy302, xy4002, fb, fc) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(app(ty_Either, ge), gf), gd) -> new_esEs0(xy301, xy4001, ge, gf) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, hf), hg), eh, gd) -> new_esEs0(xy300, xy4000, hf, hg) new_esEs0(Left(xy300), Left(xy4000), app(ty_Maybe, cb), cc) -> new_esEs(xy300, xy4000, cb) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(ty_[], hd), gd) -> new_esEs3(xy301, xy4001, hd) new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(ty_Maybe, bdc)) -> new_esEs(xy300, xy4000, bdc) new_esEs0(Right(xy300), Right(xy4000), de, app(ty_[], ef)) -> new_esEs3(xy300, xy4000, ef) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(app(ty_@2, bbe), bbf)) -> new_esEs2(xy301, xy4001, bbe, bbf) new_esEs0(Left(xy300), Left(xy4000), app(app(ty_@2, db), dc), cc) -> new_esEs2(xy300, xy4000, db, dc) new_esEs0(Right(xy300), Right(xy4000), de, app(app(ty_Either, dg), dh)) -> new_esEs0(xy300, xy4000, dg, dh) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, hh), baa), bab), eh, gd) -> new_esEs1(xy300, xy4000, hh, baa, bab) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bae), eh, gd) -> new_esEs3(xy300, xy4000, bae) new_esEs(Just(xy300), Just(xy4000), app(ty_[], ca)) -> new_esEs3(xy300, xy4000, ca) new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(ty_[], bec)) -> new_esEs3(xy300, xy4000, bec) new_esEs(Just(xy300), Just(xy4000), app(ty_Maybe, ba)) -> new_esEs(xy300, xy4000, ba) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, bac), bad), eh, gd) -> new_esEs2(xy300, xy4000, bac, bad) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(ty_Maybe, bag)) -> new_esEs(xy301, xy4001, bag) new_esEs(Just(xy300), Just(xy4000), app(app(app(ty_@3, bd), be), bf)) -> new_esEs1(xy300, xy4000, bd, be, bf) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, bcg), bch), bca) -> new_esEs2(xy300, xy4000, bcg, bch) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(ty_Maybe, fa)) -> new_esEs(xy302, xy4002, fa) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbh), bca) -> new_esEs(xy300, xy4000, bbh) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(ty_Maybe, gc), gd) -> new_esEs(xy301, xy4001, gc) new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs1(xy300, xy4000, bdf, bdg, bdh) new_esEs0(Left(xy300), Left(xy4000), app(ty_[], dd), cc) -> new_esEs3(xy300, xy4000, dd) new_esEs0(Left(xy300), Left(xy4000), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xy300, xy4000, cd, ce) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, he), eh, gd) -> new_esEs(xy300, xy4000, he) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bcb), bcc), bca) -> new_esEs0(xy300, xy4000, bcb, bcc) new_esEs3(:(xy300, xy301), :(xy4000, xy4001), bdb) -> new_esEs3(xy301, xy4001, bdb) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(app(ty_Either, bah), bba)) -> new_esEs0(xy301, xy4001, bah, bba) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(app(app(ty_@3, fd), ff), fg)) -> new_esEs1(xy302, xy4002, fd, ff, fg) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs1(xy301, xy4001, bbb, bbc, bbd) new_esEs(Just(xy300), Just(xy4000), app(app(ty_Either, bb), bc)) -> new_esEs0(xy300, xy4000, bb, bc) new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_@2, bea), beb)) -> new_esEs2(xy300, xy4000, bea, beb) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(ty_[], bbg)) -> new_esEs3(xy301, xy4001, bbg) new_esEs0(Left(xy300), Left(xy4000), app(app(app(ty_@3, cf), cg), da), cc) -> new_esEs1(xy300, xy4000, cf, cg, da) new_esEs0(Right(xy300), Right(xy4000), de, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs1(xy300, xy4000, ea, eb, ec) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(ty_[], gb)) -> new_esEs3(xy302, xy4002, gb) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bda), bca) -> new_esEs3(xy300, xy4000, bda) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(app(ty_@2, hb), hc), gd) -> new_esEs2(xy301, xy4001, hb, hc) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(app(app(ty_@3, gg), gh), ha), gd) -> new_esEs1(xy301, xy4001, gg, gh, ha) new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(app(ty_@2, fh), ga)) -> new_esEs2(xy302, xy4002, fh, ga) new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_Either, bdd), bde)) -> new_esEs0(xy300, xy4000, bdd, bde) new_esEs0(Right(xy300), Right(xy4000), de, app(ty_Maybe, df)) -> new_esEs(xy300, xy4000, df) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bcd), bce), bcf), bca) -> new_esEs1(xy300, xy4000, bcd, bce, bcf) new_esEs0(Right(xy300), Right(xy4000), de, app(app(ty_@2, ed), ee)) -> new_esEs2(xy300, xy4000, ed, ee) 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_esEs(Just(xy300), Just(xy4000), app(ty_Maybe, ba)) -> new_esEs(xy300, xy4000, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xy300), Just(xy4000), app(app(app(ty_@3, bd), be), bf)) -> new_esEs1(xy300, xy4000, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(xy300), Just(xy4000), app(app(ty_Either, bb), bc)) -> new_esEs0(xy300, xy4000, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(ty_Maybe, bdc)) -> new_esEs(xy300, xy4000, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs1(xy300, xy4000, bdf, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_Either, bdd), bde)) -> new_esEs0(xy300, xy4000, bdd, bde) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xy300), Just(xy4000), app(ty_[], ca)) -> new_esEs3(xy300, xy4000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xy300), Just(xy4000), app(app(ty_@2, bg), bh)) -> new_esEs2(xy300, xy4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xy300, xy301), :(xy4000, xy4001), 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_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(ty_Maybe, bag)) -> new_esEs(xy301, xy4001, bag) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbh), bca) -> new_esEs(xy300, xy4000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs1(xy301, xy4001, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bcd), bce), bcf), bca) -> new_esEs1(xy300, xy4000, bcd, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bcb), bcc), bca) -> new_esEs0(xy300, xy4000, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(app(ty_Either, bah), bba)) -> new_esEs0(xy301, xy4001, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(ty_[], bbg)) -> new_esEs3(xy301, xy4001, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bda), bca) -> new_esEs3(xy300, xy4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), baf, app(app(ty_@2, bbe), bbf)) -> new_esEs2(xy301, xy4001, bbe, bbf) 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, bcg), bch), bca) -> new_esEs2(xy300, xy4000, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(xy300), Left(xy4000), app(ty_Maybe, cb), cc) -> new_esEs(xy300, xy4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xy300), Right(xy4000), de, app(ty_Maybe, df)) -> new_esEs(xy300, xy4000, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(ty_Maybe, fa)) -> new_esEs(xy302, xy4002, fa) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(ty_Maybe, gc), gd) -> new_esEs(xy301, xy4001, gc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, he), eh, gd) -> new_esEs(xy300, xy4000, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(xy300), Left(xy4000), app(app(app(ty_@3, cf), cg), da), cc) -> new_esEs1(xy300, xy4000, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xy300), Right(xy4000), de, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs1(xy300, xy4000, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Right(xy300), Right(xy4000), de, app(app(ty_Either, dg), dh)) -> new_esEs0(xy300, xy4000, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xy300), Left(xy4000), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xy300, xy4000, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xy300), Right(xy4000), de, app(ty_[], ef)) -> new_esEs3(xy300, xy4000, ef) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xy300), Left(xy4000), app(ty_[], dd), cc) -> new_esEs3(xy300, xy4000, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(xy300), Left(xy4000), app(app(ty_@2, db), dc), cc) -> new_esEs2(xy300, xy4000, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xy300), Right(xy4000), de, app(app(ty_@2, ed), ee)) -> new_esEs2(xy300, xy4000, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, hh), baa), bab), eh, gd) -> new_esEs1(xy300, xy4000, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(app(app(ty_@3, fd), ff), fg)) -> new_esEs1(xy302, xy4002, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(app(app(ty_@3, gg), gh), ha), gd) -> new_esEs1(xy301, xy4001, gg, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(app(ty_Either, fb), fc)) -> new_esEs0(xy302, xy4002, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(app(ty_Either, ge), gf), gd) -> new_esEs0(xy301, xy4001, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, hf), hg), eh, gd) -> new_esEs0(xy300, xy4000, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xy300, xy301), :(xy4000, xy4001), app(ty_[], bec)) -> new_esEs3(xy300, xy4000, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xy300, xy301), :(xy4000, xy4001), bdb) -> new_esEs3(xy301, xy4001, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(ty_[], hd), gd) -> new_esEs3(xy301, xy4001, hd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bae), eh, gd) -> new_esEs3(xy300, xy4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(ty_[], gb)) -> new_esEs3(xy302, xy4002, gb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, bac), bad), eh, gd) -> new_esEs2(xy300, xy4000, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, app(app(ty_@2, hb), hc), gd) -> new_esEs2(xy301, xy4001, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), eg, eh, app(app(ty_@2, fh), ga)) -> new_esEs2(xy302, xy4002, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 ---------------------------------------- (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