/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 11 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) 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; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] _ = True; isPrefixOf _ [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (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; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (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; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="List.isPrefixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.isPrefixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.isPrefixOf xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];701[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];4 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 5[label="",style="solid", color="burlywood", weight=3]; 702[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="List.isPrefixOf (xy30 : xy31) xy4",fontsize=16,color="burlywood",shape="box"];703[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 7[label="",style="solid", color="burlywood", weight=3]; 704[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 8[label="",style="solid", color="burlywood", weight=3]; 6[label="List.isPrefixOf [] xy4",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3]; 7[label="List.isPrefixOf (xy30 : xy31) (xy40 : xy41)",fontsize=16,color="black",shape="box"];7 -> 10[label="",style="solid", color="black", weight=3]; 8[label="List.isPrefixOf (xy30 : xy31) []",fontsize=16,color="black",shape="box"];8 -> 11[label="",style="solid", color="black", weight=3]; 9[label="True",fontsize=16,color="green",shape="box"];10 -> 98[label="",style="dashed", color="red", weight=0]; 10[label="xy30 == xy40 && List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];10 -> 99[label="",style="dashed", color="magenta", weight=3]; 10 -> 100[label="",style="dashed", color="magenta", weight=3]; 11[label="False",fontsize=16,color="green",shape="box"];99[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];705[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];99 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 111[label="",style="solid", color="burlywood", weight=3]; 100 -> 4[label="",style="dashed", color="red", weight=0]; 100[label="List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];100 -> 112[label="",style="dashed", color="magenta", weight=3]; 100 -> 113[label="",style="dashed", color="magenta", weight=3]; 98[label="xy18 && xy19",fontsize=16,color="burlywood",shape="triangle"];706[label="xy18/False",fontsize=10,color="white",style="solid",shape="box"];98 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 114[label="",style="solid", color="burlywood", weight=3]; 707[label="xy18/True",fontsize=10,color="white",style="solid",shape="box"];98 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 115[label="",style="solid", color="burlywood", weight=3]; 111[label="(xy300,xy301) == xy40",fontsize=16,color="burlywood",shape="box"];708[label="xy40/(xy400,xy401)",fontsize=10,color="white",style="solid",shape="box"];111 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 116[label="",style="solid", color="burlywood", weight=3]; 112[label="xy31",fontsize=16,color="green",shape="box"];113[label="xy41",fontsize=16,color="green",shape="box"];114[label="False && xy19",fontsize=16,color="black",shape="box"];114 -> 117[label="",style="solid", color="black", weight=3]; 115[label="True && xy19",fontsize=16,color="black",shape="box"];115 -> 118[label="",style="solid", color="black", weight=3]; 116[label="(xy300,xy301) == (xy400,xy401)",fontsize=16,color="black",shape="box"];116 -> 119[label="",style="solid", color="black", weight=3]; 117[label="False",fontsize=16,color="green",shape="box"];118[label="xy19",fontsize=16,color="green",shape="box"];119 -> 98[label="",style="dashed", color="red", weight=0]; 119[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];119 -> 120[label="",style="dashed", color="magenta", weight=3]; 119 -> 121[label="",style="dashed", color="magenta", weight=3]; 120[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];709[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 709[label="",style="solid", color="blue", weight=9]; 709 -> 122[label="",style="solid", color="blue", weight=3]; 710[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 710[label="",style="solid", color="blue", weight=9]; 710 -> 123[label="",style="solid", color="blue", weight=3]; 711[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 711[label="",style="solid", color="blue", weight=9]; 711 -> 124[label="",style="solid", color="blue", weight=3]; 712[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 712[label="",style="solid", color="blue", weight=9]; 712 -> 125[label="",style="solid", color="blue", weight=3]; 713[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 713[label="",style="solid", color="blue", weight=9]; 713 -> 126[label="",style="solid", color="blue", weight=3]; 714[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 714[label="",style="solid", color="blue", weight=9]; 714 -> 127[label="",style="solid", color="blue", weight=3]; 715[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 715[label="",style="solid", color="blue", weight=9]; 715 -> 128[label="",style="solid", color="blue", weight=3]; 716[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 716[label="",style="solid", color="blue", weight=9]; 716 -> 129[label="",style="solid", color="blue", weight=3]; 717[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 717[label="",style="solid", color="blue", weight=9]; 717 -> 130[label="",style="solid", color="blue", weight=3]; 718[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 718[label="",style="solid", color="blue", weight=9]; 718 -> 131[label="",style="solid", color="blue", weight=3]; 719[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 719[label="",style="solid", color="blue", weight=9]; 719 -> 132[label="",style="solid", color="blue", weight=3]; 720[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 133[label="",style="solid", color="blue", weight=3]; 721[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 134[label="",style="solid", color="blue", weight=3]; 722[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 135[label="",style="solid", color="blue", weight=3]; 121[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];723[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 723[label="",style="solid", color="blue", weight=9]; 723 -> 136[label="",style="solid", color="blue", weight=3]; 724[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 137[label="",style="solid", color="blue", weight=3]; 725[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 725[label="",style="solid", color="blue", weight=9]; 725 -> 138[label="",style="solid", color="blue", weight=3]; 726[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 726[label="",style="solid", color="blue", weight=9]; 726 -> 139[label="",style="solid", color="blue", weight=3]; 727[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 727[label="",style="solid", color="blue", weight=9]; 727 -> 140[label="",style="solid", color="blue", weight=3]; 728[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 728[label="",style="solid", color="blue", weight=9]; 728 -> 141[label="",style="solid", color="blue", weight=3]; 729[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 142[label="",style="solid", color="blue", weight=3]; 730[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 143[label="",style="solid", color="blue", weight=3]; 731[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 144[label="",style="solid", color="blue", weight=3]; 732[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 145[label="",style="solid", color="blue", weight=3]; 733[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 146[label="",style="solid", color="blue", weight=3]; 734[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 147[label="",style="solid", color="blue", weight=3]; 735[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 148[label="",style="solid", color="blue", weight=3]; 736[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 149[label="",style="solid", color="blue", weight=3]; 122[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];737[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];122 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 150[label="",style="solid", color="burlywood", weight=3]; 738[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];122 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 151[label="",style="solid", color="burlywood", weight=3]; 739[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];122 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 152[label="",style="solid", color="burlywood", weight=3]; 123[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];740[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];123 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 153[label="",style="solid", color="burlywood", weight=3]; 741[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];123 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 154[label="",style="solid", color="burlywood", weight=3]; 124[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];124 -> 155[label="",style="solid", color="black", weight=3]; 125 -> 99[label="",style="dashed", color="red", weight=0]; 125[label="xy300 == xy400",fontsize=16,color="magenta"];125 -> 156[label="",style="dashed", color="magenta", weight=3]; 125 -> 157[label="",style="dashed", color="magenta", weight=3]; 126[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];742[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];126 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 158[label="",style="solid", color="burlywood", weight=3]; 743[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];126 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 159[label="",style="solid", color="burlywood", weight=3]; 127[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];744[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];127 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 160[label="",style="solid", color="burlywood", weight=3]; 128[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];128 -> 161[label="",style="solid", color="black", weight=3]; 129[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];745[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];129 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 162[label="",style="solid", color="burlywood", weight=3]; 130[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];746[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];130 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 163[label="",style="solid", color="burlywood", weight=3]; 131[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];131 -> 164[label="",style="solid", color="black", weight=3]; 132[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];747[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];132 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 165[label="",style="solid", color="burlywood", weight=3]; 748[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];132 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 166[label="",style="solid", color="burlywood", weight=3]; 133[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];133 -> 167[label="",style="solid", color="black", weight=3]; 134[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];749[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];134 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 168[label="",style="solid", color="burlywood", weight=3]; 750[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];134 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 169[label="",style="solid", color="burlywood", weight=3]; 135[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];751[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];135 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 170[label="",style="solid", color="burlywood", weight=3]; 136 -> 122[label="",style="dashed", color="red", weight=0]; 136[label="xy301 == xy401",fontsize=16,color="magenta"];136 -> 171[label="",style="dashed", color="magenta", weight=3]; 136 -> 172[label="",style="dashed", color="magenta", weight=3]; 137 -> 123[label="",style="dashed", color="red", weight=0]; 137[label="xy301 == xy401",fontsize=16,color="magenta"];137 -> 173[label="",style="dashed", color="magenta", weight=3]; 137 -> 174[label="",style="dashed", color="magenta", weight=3]; 138 -> 124[label="",style="dashed", color="red", weight=0]; 138[label="xy301 == xy401",fontsize=16,color="magenta"];138 -> 175[label="",style="dashed", color="magenta", weight=3]; 138 -> 176[label="",style="dashed", color="magenta", weight=3]; 139 -> 99[label="",style="dashed", color="red", weight=0]; 139[label="xy301 == xy401",fontsize=16,color="magenta"];139 -> 177[label="",style="dashed", color="magenta", weight=3]; 139 -> 178[label="",style="dashed", color="magenta", weight=3]; 140 -> 126[label="",style="dashed", color="red", weight=0]; 140[label="xy301 == xy401",fontsize=16,color="magenta"];140 -> 179[label="",style="dashed", color="magenta", weight=3]; 140 -> 180[label="",style="dashed", color="magenta", weight=3]; 141 -> 127[label="",style="dashed", color="red", weight=0]; 141[label="xy301 == xy401",fontsize=16,color="magenta"];141 -> 181[label="",style="dashed", color="magenta", weight=3]; 141 -> 182[label="",style="dashed", color="magenta", weight=3]; 142 -> 128[label="",style="dashed", color="red", weight=0]; 142[label="xy301 == xy401",fontsize=16,color="magenta"];142 -> 183[label="",style="dashed", color="magenta", weight=3]; 142 -> 184[label="",style="dashed", color="magenta", weight=3]; 143 -> 129[label="",style="dashed", color="red", weight=0]; 143[label="xy301 == xy401",fontsize=16,color="magenta"];143 -> 185[label="",style="dashed", color="magenta", weight=3]; 143 -> 186[label="",style="dashed", color="magenta", weight=3]; 144 -> 130[label="",style="dashed", color="red", weight=0]; 144[label="xy301 == xy401",fontsize=16,color="magenta"];144 -> 187[label="",style="dashed", color="magenta", weight=3]; 144 -> 188[label="",style="dashed", color="magenta", weight=3]; 145 -> 131[label="",style="dashed", color="red", weight=0]; 145[label="xy301 == xy401",fontsize=16,color="magenta"];145 -> 189[label="",style="dashed", color="magenta", weight=3]; 145 -> 190[label="",style="dashed", color="magenta", weight=3]; 146 -> 132[label="",style="dashed", color="red", weight=0]; 146[label="xy301 == xy401",fontsize=16,color="magenta"];146 -> 191[label="",style="dashed", color="magenta", weight=3]; 146 -> 192[label="",style="dashed", color="magenta", weight=3]; 147 -> 133[label="",style="dashed", color="red", weight=0]; 147[label="xy301 == xy401",fontsize=16,color="magenta"];147 -> 193[label="",style="dashed", color="magenta", weight=3]; 147 -> 194[label="",style="dashed", color="magenta", weight=3]; 148 -> 134[label="",style="dashed", color="red", weight=0]; 148[label="xy301 == xy401",fontsize=16,color="magenta"];148 -> 195[label="",style="dashed", color="magenta", weight=3]; 148 -> 196[label="",style="dashed", color="magenta", weight=3]; 149 -> 135[label="",style="dashed", color="red", weight=0]; 149[label="xy301 == xy401",fontsize=16,color="magenta"];149 -> 197[label="",style="dashed", color="magenta", weight=3]; 149 -> 198[label="",style="dashed", color="magenta", weight=3]; 150[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];752[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];150 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 199[label="",style="solid", color="burlywood", weight=3]; 753[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];150 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 200[label="",style="solid", color="burlywood", weight=3]; 754[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];150 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 201[label="",style="solid", color="burlywood", weight=3]; 151[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];755[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];151 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 202[label="",style="solid", color="burlywood", weight=3]; 756[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];151 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 203[label="",style="solid", color="burlywood", weight=3]; 757[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];151 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 204[label="",style="solid", color="burlywood", weight=3]; 152[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];758[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];152 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 205[label="",style="solid", color="burlywood", weight=3]; 759[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];152 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 206[label="",style="solid", color="burlywood", weight=3]; 760[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];152 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 207[label="",style="solid", color="burlywood", weight=3]; 153[label="False == xy400",fontsize=16,color="burlywood",shape="box"];761[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];153 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 208[label="",style="solid", color="burlywood", weight=3]; 762[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];153 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 209[label="",style="solid", color="burlywood", weight=3]; 154[label="True == xy400",fontsize=16,color="burlywood",shape="box"];763[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];154 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 210[label="",style="solid", color="burlywood", weight=3]; 764[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];154 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 211[label="",style="solid", color="burlywood", weight=3]; 155[label="primEqDouble xy300 xy400",fontsize=16,color="burlywood",shape="box"];765[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];155 -> 765[label="",style="solid", color="burlywood", weight=9]; 765 -> 212[label="",style="solid", color="burlywood", weight=3]; 156[label="xy300",fontsize=16,color="green",shape="box"];157[label="xy400",fontsize=16,color="green",shape="box"];158[label="xy3000 : xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];766[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];158 -> 766[label="",style="solid", color="burlywood", weight=9]; 766 -> 213[label="",style="solid", color="burlywood", weight=3]; 767[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];158 -> 767[label="",style="solid", color="burlywood", weight=9]; 767 -> 214[label="",style="solid", color="burlywood", weight=3]; 159[label="[] == xy400",fontsize=16,color="burlywood",shape="box"];768[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];159 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 215[label="",style="solid", color="burlywood", weight=3]; 769[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];159 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 216[label="",style="solid", color="burlywood", weight=3]; 160[label="() == xy400",fontsize=16,color="burlywood",shape="box"];770[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];160 -> 770[label="",style="solid", color="burlywood", weight=9]; 770 -> 217[label="",style="solid", color="burlywood", weight=3]; 161[label="primEqInt xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];771[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];161 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 218[label="",style="solid", color="burlywood", weight=3]; 772[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];161 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 219[label="",style="solid", color="burlywood", weight=3]; 162[label="Integer xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];773[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];162 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 220[label="",style="solid", color="burlywood", weight=3]; 163[label="(xy3000,xy3001,xy3002) == xy400",fontsize=16,color="burlywood",shape="box"];774[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];163 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 221[label="",style="solid", color="burlywood", weight=3]; 164[label="primEqFloat xy300 xy400",fontsize=16,color="burlywood",shape="box"];775[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];164 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 222[label="",style="solid", color="burlywood", weight=3]; 165[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];776[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];165 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 223[label="",style="solid", color="burlywood", weight=3]; 777[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];165 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 224[label="",style="solid", color="burlywood", weight=3]; 166[label="Just xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];778[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];166 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 225[label="",style="solid", color="burlywood", weight=3]; 779[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];166 -> 779[label="",style="solid", color="burlywood", weight=9]; 779 -> 226[label="",style="solid", color="burlywood", weight=3]; 167[label="primEqChar xy300 xy400",fontsize=16,color="burlywood",shape="box"];780[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];167 -> 780[label="",style="solid", color="burlywood", weight=9]; 780 -> 227[label="",style="solid", color="burlywood", weight=3]; 168[label="Left xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];781[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 228[label="",style="solid", color="burlywood", weight=3]; 782[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 229[label="",style="solid", color="burlywood", weight=3]; 169[label="Right xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];783[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];169 -> 783[label="",style="solid", color="burlywood", weight=9]; 783 -> 230[label="",style="solid", color="burlywood", weight=3]; 784[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];169 -> 784[label="",style="solid", color="burlywood", weight=9]; 784 -> 231[label="",style="solid", color="burlywood", weight=3]; 170[label="xy3000 :% xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];785[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];170 -> 785[label="",style="solid", color="burlywood", weight=9]; 785 -> 232[label="",style="solid", color="burlywood", weight=3]; 171[label="xy301",fontsize=16,color="green",shape="box"];172[label="xy401",fontsize=16,color="green",shape="box"];173[label="xy301",fontsize=16,color="green",shape="box"];174[label="xy401",fontsize=16,color="green",shape="box"];175[label="xy301",fontsize=16,color="green",shape="box"];176[label="xy401",fontsize=16,color="green",shape="box"];177[label="xy301",fontsize=16,color="green",shape="box"];178[label="xy401",fontsize=16,color="green",shape="box"];179[label="xy301",fontsize=16,color="green",shape="box"];180[label="xy401",fontsize=16,color="green",shape="box"];181[label="xy301",fontsize=16,color="green",shape="box"];182[label="xy401",fontsize=16,color="green",shape="box"];183[label="xy301",fontsize=16,color="green",shape="box"];184[label="xy401",fontsize=16,color="green",shape="box"];185[label="xy301",fontsize=16,color="green",shape="box"];186[label="xy401",fontsize=16,color="green",shape="box"];187[label="xy301",fontsize=16,color="green",shape="box"];188[label="xy401",fontsize=16,color="green",shape="box"];189[label="xy301",fontsize=16,color="green",shape="box"];190[label="xy401",fontsize=16,color="green",shape="box"];191[label="xy301",fontsize=16,color="green",shape="box"];192[label="xy401",fontsize=16,color="green",shape="box"];193[label="xy301",fontsize=16,color="green",shape="box"];194[label="xy401",fontsize=16,color="green",shape="box"];195[label="xy301",fontsize=16,color="green",shape="box"];196[label="xy401",fontsize=16,color="green",shape="box"];197[label="xy301",fontsize=16,color="green",shape="box"];198[label="xy401",fontsize=16,color="green",shape="box"];199[label="LT == LT",fontsize=16,color="black",shape="box"];199 -> 233[label="",style="solid", color="black", weight=3]; 200[label="LT == EQ",fontsize=16,color="black",shape="box"];200 -> 234[label="",style="solid", color="black", weight=3]; 201[label="LT == GT",fontsize=16,color="black",shape="box"];201 -> 235[label="",style="solid", color="black", weight=3]; 202[label="EQ == LT",fontsize=16,color="black",shape="box"];202 -> 236[label="",style="solid", color="black", weight=3]; 203[label="EQ == EQ",fontsize=16,color="black",shape="box"];203 -> 237[label="",style="solid", color="black", weight=3]; 204[label="EQ == GT",fontsize=16,color="black",shape="box"];204 -> 238[label="",style="solid", color="black", weight=3]; 205[label="GT == LT",fontsize=16,color="black",shape="box"];205 -> 239[label="",style="solid", color="black", weight=3]; 206[label="GT == EQ",fontsize=16,color="black",shape="box"];206 -> 240[label="",style="solid", color="black", weight=3]; 207[label="GT == GT",fontsize=16,color="black",shape="box"];207 -> 241[label="",style="solid", color="black", weight=3]; 208[label="False == False",fontsize=16,color="black",shape="box"];208 -> 242[label="",style="solid", color="black", weight=3]; 209[label="False == True",fontsize=16,color="black",shape="box"];209 -> 243[label="",style="solid", color="black", weight=3]; 210[label="True == False",fontsize=16,color="black",shape="box"];210 -> 244[label="",style="solid", color="black", weight=3]; 211[label="True == True",fontsize=16,color="black",shape="box"];211 -> 245[label="",style="solid", color="black", weight=3]; 212[label="primEqDouble (Double xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];786[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];212 -> 786[label="",style="solid", color="burlywood", weight=9]; 786 -> 246[label="",style="solid", color="burlywood", weight=3]; 213[label="xy3000 : xy3001 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];213 -> 247[label="",style="solid", color="black", weight=3]; 214[label="xy3000 : xy3001 == []",fontsize=16,color="black",shape="box"];214 -> 248[label="",style="solid", color="black", weight=3]; 215[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];215 -> 249[label="",style="solid", color="black", weight=3]; 216[label="[] == []",fontsize=16,color="black",shape="box"];216 -> 250[label="",style="solid", color="black", weight=3]; 217[label="() == ()",fontsize=16,color="black",shape="box"];217 -> 251[label="",style="solid", color="black", weight=3]; 218[label="primEqInt (Pos xy3000) xy400",fontsize=16,color="burlywood",shape="box"];787[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];218 -> 787[label="",style="solid", color="burlywood", weight=9]; 787 -> 252[label="",style="solid", color="burlywood", weight=3]; 788[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];218 -> 788[label="",style="solid", color="burlywood", weight=9]; 788 -> 253[label="",style="solid", color="burlywood", weight=3]; 219[label="primEqInt (Neg xy3000) xy400",fontsize=16,color="burlywood",shape="box"];789[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];219 -> 789[label="",style="solid", color="burlywood", weight=9]; 789 -> 254[label="",style="solid", color="burlywood", weight=3]; 790[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];219 -> 790[label="",style="solid", color="burlywood", weight=9]; 790 -> 255[label="",style="solid", color="burlywood", weight=3]; 220[label="Integer xy3000 == Integer xy4000",fontsize=16,color="black",shape="box"];220 -> 256[label="",style="solid", color="black", weight=3]; 221[label="(xy3000,xy3001,xy3002) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];221 -> 257[label="",style="solid", color="black", weight=3]; 222[label="primEqFloat (Float xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];791[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];222 -> 791[label="",style="solid", color="burlywood", weight=9]; 791 -> 258[label="",style="solid", color="burlywood", weight=3]; 223[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];223 -> 259[label="",style="solid", color="black", weight=3]; 224[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];224 -> 260[label="",style="solid", color="black", weight=3]; 225[label="Just xy3000 == Nothing",fontsize=16,color="black",shape="box"];225 -> 261[label="",style="solid", color="black", weight=3]; 226[label="Just xy3000 == Just xy4000",fontsize=16,color="black",shape="box"];226 -> 262[label="",style="solid", color="black", weight=3]; 227[label="primEqChar (Char xy3000) xy400",fontsize=16,color="burlywood",shape="box"];792[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];227 -> 792[label="",style="solid", color="burlywood", weight=9]; 792 -> 263[label="",style="solid", color="burlywood", weight=3]; 228[label="Left xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];228 -> 264[label="",style="solid", color="black", weight=3]; 229[label="Left xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];229 -> 265[label="",style="solid", color="black", weight=3]; 230[label="Right xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];230 -> 266[label="",style="solid", color="black", weight=3]; 231[label="Right xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];231 -> 267[label="",style="solid", color="black", weight=3]; 232[label="xy3000 :% xy3001 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];232 -> 268[label="",style="solid", color="black", weight=3]; 233[label="True",fontsize=16,color="green",shape="box"];234[label="False",fontsize=16,color="green",shape="box"];235[label="False",fontsize=16,color="green",shape="box"];236[label="False",fontsize=16,color="green",shape="box"];237[label="True",fontsize=16,color="green",shape="box"];238[label="False",fontsize=16,color="green",shape="box"];239[label="False",fontsize=16,color="green",shape="box"];240[label="False",fontsize=16,color="green",shape="box"];241[label="True",fontsize=16,color="green",shape="box"];242[label="True",fontsize=16,color="green",shape="box"];243[label="False",fontsize=16,color="green",shape="box"];244[label="False",fontsize=16,color="green",shape="box"];245[label="True",fontsize=16,color="green",shape="box"];246[label="primEqDouble (Double xy3000 xy3001) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];246 -> 269[label="",style="solid", color="black", weight=3]; 247 -> 98[label="",style="dashed", color="red", weight=0]; 247[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];247 -> 270[label="",style="dashed", color="magenta", weight=3]; 247 -> 271[label="",style="dashed", color="magenta", weight=3]; 248[label="False",fontsize=16,color="green",shape="box"];249[label="False",fontsize=16,color="green",shape="box"];250[label="True",fontsize=16,color="green",shape="box"];251[label="True",fontsize=16,color="green",shape="box"];252[label="primEqInt (Pos (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];793[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];252 -> 793[label="",style="solid", color="burlywood", weight=9]; 793 -> 272[label="",style="solid", color="burlywood", weight=3]; 794[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];252 -> 794[label="",style="solid", color="burlywood", weight=9]; 794 -> 273[label="",style="solid", color="burlywood", weight=3]; 253[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];795[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];253 -> 795[label="",style="solid", color="burlywood", weight=9]; 795 -> 274[label="",style="solid", color="burlywood", weight=3]; 796[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];253 -> 796[label="",style="solid", color="burlywood", weight=9]; 796 -> 275[label="",style="solid", color="burlywood", weight=3]; 254[label="primEqInt (Neg (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];797[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];254 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 276[label="",style="solid", color="burlywood", weight=3]; 798[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];254 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 277[label="",style="solid", color="burlywood", weight=3]; 255[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];799[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];255 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 278[label="",style="solid", color="burlywood", weight=3]; 800[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];255 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 279[label="",style="solid", color="burlywood", weight=3]; 256 -> 161[label="",style="dashed", color="red", weight=0]; 256[label="primEqInt xy3000 xy4000",fontsize=16,color="magenta"];256 -> 280[label="",style="dashed", color="magenta", weight=3]; 256 -> 281[label="",style="dashed", color="magenta", weight=3]; 257 -> 98[label="",style="dashed", color="red", weight=0]; 257[label="xy3000 == xy4000 && xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];257 -> 282[label="",style="dashed", color="magenta", weight=3]; 257 -> 283[label="",style="dashed", color="magenta", weight=3]; 258[label="primEqFloat (Float xy3000 xy3001) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];258 -> 284[label="",style="solid", color="black", weight=3]; 259[label="True",fontsize=16,color="green",shape="box"];260[label="False",fontsize=16,color="green",shape="box"];261[label="False",fontsize=16,color="green",shape="box"];262[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];801[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 285[label="",style="solid", color="blue", weight=3]; 802[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 286[label="",style="solid", color="blue", weight=3]; 803[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 287[label="",style="solid", color="blue", weight=3]; 804[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 288[label="",style="solid", color="blue", weight=3]; 805[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 289[label="",style="solid", color="blue", weight=3]; 806[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 290[label="",style="solid", color="blue", weight=3]; 807[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 291[label="",style="solid", color="blue", weight=3]; 808[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 292[label="",style="solid", color="blue", weight=3]; 809[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 293[label="",style="solid", color="blue", weight=3]; 810[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 294[label="",style="solid", color="blue", weight=3]; 811[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 295[label="",style="solid", color="blue", weight=3]; 812[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 296[label="",style="solid", color="blue", weight=3]; 813[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 297[label="",style="solid", color="blue", weight=3]; 814[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];262 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 298[label="",style="solid", color="blue", weight=3]; 263[label="primEqChar (Char xy3000) (Char xy4000)",fontsize=16,color="black",shape="box"];263 -> 299[label="",style="solid", color="black", weight=3]; 264[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];815[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 300[label="",style="solid", color="blue", weight=3]; 816[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 301[label="",style="solid", color="blue", weight=3]; 817[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 302[label="",style="solid", color="blue", weight=3]; 818[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 303[label="",style="solid", color="blue", weight=3]; 819[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 304[label="",style="solid", color="blue", weight=3]; 820[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 305[label="",style="solid", color="blue", weight=3]; 821[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 306[label="",style="solid", color="blue", weight=3]; 822[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 307[label="",style="solid", color="blue", weight=3]; 823[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 308[label="",style="solid", color="blue", weight=3]; 824[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 309[label="",style="solid", color="blue", weight=3]; 825[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 310[label="",style="solid", color="blue", weight=3]; 826[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 311[label="",style="solid", color="blue", weight=3]; 827[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 312[label="",style="solid", color="blue", weight=3]; 828[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 313[label="",style="solid", color="blue", weight=3]; 265[label="False",fontsize=16,color="green",shape="box"];266[label="False",fontsize=16,color="green",shape="box"];267[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];829[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 314[label="",style="solid", color="blue", weight=3]; 830[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 315[label="",style="solid", color="blue", weight=3]; 831[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 316[label="",style="solid", color="blue", weight=3]; 832[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 317[label="",style="solid", color="blue", weight=3]; 833[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 318[label="",style="solid", color="blue", weight=3]; 834[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 319[label="",style="solid", color="blue", weight=3]; 835[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 320[label="",style="solid", color="blue", weight=3]; 836[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 321[label="",style="solid", color="blue", weight=3]; 837[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 322[label="",style="solid", color="blue", weight=3]; 838[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 323[label="",style="solid", color="blue", weight=3]; 839[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 324[label="",style="solid", color="blue", weight=3]; 840[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 325[label="",style="solid", color="blue", weight=3]; 841[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 326[label="",style="solid", color="blue", weight=3]; 842[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 327[label="",style="solid", color="blue", weight=3]; 268 -> 98[label="",style="dashed", color="red", weight=0]; 268[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];268 -> 328[label="",style="dashed", color="magenta", weight=3]; 268 -> 329[label="",style="dashed", color="magenta", weight=3]; 269 -> 128[label="",style="dashed", color="red", weight=0]; 269[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];269 -> 330[label="",style="dashed", color="magenta", weight=3]; 269 -> 331[label="",style="dashed", color="magenta", weight=3]; 270[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];843[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 332[label="",style="solid", color="blue", weight=3]; 844[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 333[label="",style="solid", color="blue", weight=3]; 845[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 334[label="",style="solid", color="blue", weight=3]; 846[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 335[label="",style="solid", color="blue", weight=3]; 847[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 336[label="",style="solid", color="blue", weight=3]; 848[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 337[label="",style="solid", color="blue", weight=3]; 849[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 338[label="",style="solid", color="blue", weight=3]; 850[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 339[label="",style="solid", color="blue", weight=3]; 851[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 340[label="",style="solid", color="blue", weight=3]; 852[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 341[label="",style="solid", color="blue", weight=3]; 853[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 342[label="",style="solid", color="blue", weight=3]; 854[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 343[label="",style="solid", color="blue", weight=3]; 855[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 344[label="",style="solid", color="blue", weight=3]; 856[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 345[label="",style="solid", color="blue", weight=3]; 271 -> 126[label="",style="dashed", color="red", weight=0]; 271[label="xy3001 == xy4001",fontsize=16,color="magenta"];271 -> 346[label="",style="dashed", color="magenta", weight=3]; 271 -> 347[label="",style="dashed", color="magenta", weight=3]; 272[label="primEqInt (Pos (Succ xy30000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];857[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];272 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 348[label="",style="solid", color="burlywood", weight=3]; 858[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];272 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 349[label="",style="solid", color="burlywood", weight=3]; 273[label="primEqInt (Pos (Succ xy30000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];273 -> 350[label="",style="solid", color="black", weight=3]; 274[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];859[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];274 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 351[label="",style="solid", color="burlywood", weight=3]; 860[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];274 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 352[label="",style="solid", color="burlywood", weight=3]; 275[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];861[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];275 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 353[label="",style="solid", color="burlywood", weight=3]; 862[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];275 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 354[label="",style="solid", color="burlywood", weight=3]; 276[label="primEqInt (Neg (Succ xy30000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];276 -> 355[label="",style="solid", color="black", weight=3]; 277[label="primEqInt (Neg (Succ xy30000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];863[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];277 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 356[label="",style="solid", color="burlywood", weight=3]; 864[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];277 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 357[label="",style="solid", color="burlywood", weight=3]; 278[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];865[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];278 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 358[label="",style="solid", color="burlywood", weight=3]; 866[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];278 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 359[label="",style="solid", color="burlywood", weight=3]; 279[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];867[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];279 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 360[label="",style="solid", color="burlywood", weight=3]; 868[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];279 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 361[label="",style="solid", color="burlywood", weight=3]; 280[label="xy3000",fontsize=16,color="green",shape="box"];281[label="xy4000",fontsize=16,color="green",shape="box"];282[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];869[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 362[label="",style="solid", color="blue", weight=3]; 870[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 363[label="",style="solid", color="blue", weight=3]; 871[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 364[label="",style="solid", color="blue", weight=3]; 872[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 365[label="",style="solid", color="blue", weight=3]; 873[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 366[label="",style="solid", color="blue", weight=3]; 874[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 367[label="",style="solid", color="blue", weight=3]; 875[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 368[label="",style="solid", color="blue", weight=3]; 876[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 369[label="",style="solid", color="blue", weight=3]; 877[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 370[label="",style="solid", color="blue", weight=3]; 878[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 371[label="",style="solid", color="blue", weight=3]; 879[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 372[label="",style="solid", color="blue", weight=3]; 880[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 373[label="",style="solid", color="blue", weight=3]; 881[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 374[label="",style="solid", color="blue", weight=3]; 882[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];282 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 375[label="",style="solid", color="blue", weight=3]; 283 -> 98[label="",style="dashed", color="red", weight=0]; 283[label="xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];283 -> 376[label="",style="dashed", color="magenta", weight=3]; 283 -> 377[label="",style="dashed", color="magenta", weight=3]; 284 -> 128[label="",style="dashed", color="red", weight=0]; 284[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];284 -> 378[label="",style="dashed", color="magenta", weight=3]; 284 -> 379[label="",style="dashed", color="magenta", weight=3]; 285 -> 122[label="",style="dashed", color="red", weight=0]; 285[label="xy3000 == xy4000",fontsize=16,color="magenta"];285 -> 380[label="",style="dashed", color="magenta", weight=3]; 285 -> 381[label="",style="dashed", color="magenta", weight=3]; 286 -> 123[label="",style="dashed", color="red", weight=0]; 286[label="xy3000 == xy4000",fontsize=16,color="magenta"];286 -> 382[label="",style="dashed", color="magenta", weight=3]; 286 -> 383[label="",style="dashed", color="magenta", weight=3]; 287 -> 124[label="",style="dashed", color="red", weight=0]; 287[label="xy3000 == xy4000",fontsize=16,color="magenta"];287 -> 384[label="",style="dashed", color="magenta", weight=3]; 287 -> 385[label="",style="dashed", color="magenta", weight=3]; 288 -> 99[label="",style="dashed", color="red", weight=0]; 288[label="xy3000 == xy4000",fontsize=16,color="magenta"];288 -> 386[label="",style="dashed", color="magenta", weight=3]; 288 -> 387[label="",style="dashed", color="magenta", weight=3]; 289 -> 126[label="",style="dashed", color="red", weight=0]; 289[label="xy3000 == xy4000",fontsize=16,color="magenta"];289 -> 388[label="",style="dashed", color="magenta", weight=3]; 289 -> 389[label="",style="dashed", color="magenta", weight=3]; 290 -> 127[label="",style="dashed", color="red", weight=0]; 290[label="xy3000 == xy4000",fontsize=16,color="magenta"];290 -> 390[label="",style="dashed", color="magenta", weight=3]; 290 -> 391[label="",style="dashed", color="magenta", weight=3]; 291 -> 128[label="",style="dashed", color="red", weight=0]; 291[label="xy3000 == xy4000",fontsize=16,color="magenta"];291 -> 392[label="",style="dashed", color="magenta", weight=3]; 291 -> 393[label="",style="dashed", color="magenta", weight=3]; 292 -> 129[label="",style="dashed", color="red", weight=0]; 292[label="xy3000 == xy4000",fontsize=16,color="magenta"];292 -> 394[label="",style="dashed", color="magenta", weight=3]; 292 -> 395[label="",style="dashed", color="magenta", weight=3]; 293 -> 130[label="",style="dashed", color="red", weight=0]; 293[label="xy3000 == xy4000",fontsize=16,color="magenta"];293 -> 396[label="",style="dashed", color="magenta", weight=3]; 293 -> 397[label="",style="dashed", color="magenta", weight=3]; 294 -> 131[label="",style="dashed", color="red", weight=0]; 294[label="xy3000 == xy4000",fontsize=16,color="magenta"];294 -> 398[label="",style="dashed", color="magenta", weight=3]; 294 -> 399[label="",style="dashed", color="magenta", weight=3]; 295 -> 132[label="",style="dashed", color="red", weight=0]; 295[label="xy3000 == xy4000",fontsize=16,color="magenta"];295 -> 400[label="",style="dashed", color="magenta", weight=3]; 295 -> 401[label="",style="dashed", color="magenta", weight=3]; 296 -> 133[label="",style="dashed", color="red", weight=0]; 296[label="xy3000 == xy4000",fontsize=16,color="magenta"];296 -> 402[label="",style="dashed", color="magenta", weight=3]; 296 -> 403[label="",style="dashed", color="magenta", weight=3]; 297 -> 134[label="",style="dashed", color="red", weight=0]; 297[label="xy3000 == xy4000",fontsize=16,color="magenta"];297 -> 404[label="",style="dashed", color="magenta", weight=3]; 297 -> 405[label="",style="dashed", color="magenta", weight=3]; 298 -> 135[label="",style="dashed", color="red", weight=0]; 298[label="xy3000 == xy4000",fontsize=16,color="magenta"];298 -> 406[label="",style="dashed", color="magenta", weight=3]; 298 -> 407[label="",style="dashed", color="magenta", weight=3]; 299[label="primEqNat xy3000 xy4000",fontsize=16,color="burlywood",shape="triangle"];883[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];299 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 408[label="",style="solid", color="burlywood", weight=3]; 884[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];299 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 409[label="",style="solid", color="burlywood", weight=3]; 300 -> 122[label="",style="dashed", color="red", weight=0]; 300[label="xy3000 == xy4000",fontsize=16,color="magenta"];300 -> 410[label="",style="dashed", color="magenta", weight=3]; 300 -> 411[label="",style="dashed", color="magenta", weight=3]; 301 -> 123[label="",style="dashed", color="red", weight=0]; 301[label="xy3000 == xy4000",fontsize=16,color="magenta"];301 -> 412[label="",style="dashed", color="magenta", weight=3]; 301 -> 413[label="",style="dashed", color="magenta", weight=3]; 302 -> 124[label="",style="dashed", color="red", weight=0]; 302[label="xy3000 == 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xy4000",fontsize=16,color="magenta"];310 -> 430[label="",style="dashed", color="magenta", weight=3]; 310 -> 431[label="",style="dashed", color="magenta", weight=3]; 311 -> 133[label="",style="dashed", color="red", weight=0]; 311[label="xy3000 == xy4000",fontsize=16,color="magenta"];311 -> 432[label="",style="dashed", color="magenta", weight=3]; 311 -> 433[label="",style="dashed", color="magenta", weight=3]; 312 -> 134[label="",style="dashed", color="red", weight=0]; 312[label="xy3000 == xy4000",fontsize=16,color="magenta"];312 -> 434[label="",style="dashed", color="magenta", weight=3]; 312 -> 435[label="",style="dashed", color="magenta", weight=3]; 313 -> 135[label="",style="dashed", color="red", weight=0]; 313[label="xy3000 == xy4000",fontsize=16,color="magenta"];313 -> 436[label="",style="dashed", color="magenta", weight=3]; 313 -> 437[label="",style="dashed", color="magenta", weight=3]; 314 -> 122[label="",style="dashed", color="red", weight=0]; 314[label="xy3000 == xy4000",fontsize=16,color="magenta"];314 -> 438[label="",style="dashed", color="magenta", weight=3]; 314 -> 439[label="",style="dashed", color="magenta", weight=3]; 315 -> 123[label="",style="dashed", color="red", weight=0]; 315[label="xy3000 == xy4000",fontsize=16,color="magenta"];315 -> 440[label="",style="dashed", color="magenta", weight=3]; 315 -> 441[label="",style="dashed", color="magenta", weight=3]; 316 -> 124[label="",style="dashed", color="red", weight=0]; 316[label="xy3000 == xy4000",fontsize=16,color="magenta"];316 -> 442[label="",style="dashed", color="magenta", weight=3]; 316 -> 443[label="",style="dashed", color="magenta", weight=3]; 317 -> 99[label="",style="dashed", color="red", weight=0]; 317[label="xy3000 == xy4000",fontsize=16,color="magenta"];317 -> 444[label="",style="dashed", color="magenta", weight=3]; 317 -> 445[label="",style="dashed", color="magenta", weight=3]; 318 -> 126[label="",style="dashed", color="red", weight=0]; 318[label="xy3000 == xy4000",fontsize=16,color="magenta"];318 -> 446[label="",style="dashed", color="magenta", weight=3]; 318 -> 447[label="",style="dashed", color="magenta", weight=3]; 319 -> 127[label="",style="dashed", color="red", weight=0]; 319[label="xy3000 == xy4000",fontsize=16,color="magenta"];319 -> 448[label="",style="dashed", color="magenta", weight=3]; 319 -> 449[label="",style="dashed", color="magenta", weight=3]; 320 -> 128[label="",style="dashed", color="red", weight=0]; 320[label="xy3000 == xy4000",fontsize=16,color="magenta"];320 -> 450[label="",style="dashed", color="magenta", weight=3]; 320 -> 451[label="",style="dashed", color="magenta", weight=3]; 321 -> 129[label="",style="dashed", color="red", weight=0]; 321[label="xy3000 == xy4000",fontsize=16,color="magenta"];321 -> 452[label="",style="dashed", color="magenta", weight=3]; 321 -> 453[label="",style="dashed", color="magenta", weight=3]; 322 -> 130[label="",style="dashed", color="red", weight=0]; 322[label="xy3000 == xy4000",fontsize=16,color="magenta"];322 -> 454[label="",style="dashed", color="magenta", weight=3]; 322 -> 455[label="",style="dashed", color="magenta", weight=3]; 323 -> 131[label="",style="dashed", color="red", weight=0]; 323[label="xy3000 == xy4000",fontsize=16,color="magenta"];323 -> 456[label="",style="dashed", color="magenta", weight=3]; 323 -> 457[label="",style="dashed", color="magenta", weight=3]; 324 -> 132[label="",style="dashed", color="red", weight=0]; 324[label="xy3000 == xy4000",fontsize=16,color="magenta"];324 -> 458[label="",style="dashed", color="magenta", weight=3]; 324 -> 459[label="",style="dashed", color="magenta", weight=3]; 325 -> 133[label="",style="dashed", color="red", weight=0]; 325[label="xy3000 == xy4000",fontsize=16,color="magenta"];325 -> 460[label="",style="dashed", color="magenta", weight=3]; 325 -> 461[label="",style="dashed", color="magenta", weight=3]; 326 -> 134[label="",style="dashed", color="red", weight=0]; 326[label="xy3000 == xy4000",fontsize=16,color="magenta"];326 -> 462[label="",style="dashed", color="magenta", weight=3]; 326 -> 463[label="",style="dashed", color="magenta", weight=3]; 327 -> 135[label="",style="dashed", color="red", weight=0]; 327[label="xy3000 == xy4000",fontsize=16,color="magenta"];327 -> 464[label="",style="dashed", color="magenta", weight=3]; 327 -> 465[label="",style="dashed", color="magenta", weight=3]; 328[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];885[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 466[label="",style="solid", color="blue", weight=3]; 886[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 467[label="",style="solid", color="blue", weight=3]; 329[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];887[label="== :: Int -> Int 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color="magenta", weight=3]; 333 -> 123[label="",style="dashed", color="red", weight=0]; 333[label="xy3000 == xy4000",fontsize=16,color="magenta"];333 -> 475[label="",style="dashed", color="magenta", weight=3]; 333 -> 476[label="",style="dashed", color="magenta", weight=3]; 334 -> 124[label="",style="dashed", color="red", weight=0]; 334[label="xy3000 == xy4000",fontsize=16,color="magenta"];334 -> 477[label="",style="dashed", color="magenta", weight=3]; 334 -> 478[label="",style="dashed", color="magenta", weight=3]; 335 -> 99[label="",style="dashed", color="red", weight=0]; 335[label="xy3000 == xy4000",fontsize=16,color="magenta"];335 -> 479[label="",style="dashed", color="magenta", weight=3]; 335 -> 480[label="",style="dashed", color="magenta", weight=3]; 336 -> 126[label="",style="dashed", color="red", weight=0]; 336[label="xy3000 == xy4000",fontsize=16,color="magenta"];336 -> 481[label="",style="dashed", color="magenta", weight=3]; 336 -> 482[label="",style="dashed", color="magenta", weight=3]; 337 -> 127[label="",style="dashed", color="red", weight=0]; 337[label="xy3000 == xy4000",fontsize=16,color="magenta"];337 -> 483[label="",style="dashed", color="magenta", weight=3]; 337 -> 484[label="",style="dashed", color="magenta", weight=3]; 338 -> 128[label="",style="dashed", color="red", weight=0]; 338[label="xy3000 == xy4000",fontsize=16,color="magenta"];338 -> 485[label="",style="dashed", color="magenta", weight=3]; 338 -> 486[label="",style="dashed", color="magenta", weight=3]; 339 -> 129[label="",style="dashed", color="red", weight=0]; 339[label="xy3000 == xy4000",fontsize=16,color="magenta"];339 -> 487[label="",style="dashed", color="magenta", weight=3]; 339 -> 488[label="",style="dashed", color="magenta", weight=3]; 340 -> 130[label="",style="dashed", color="red", weight=0]; 340[label="xy3000 == xy4000",fontsize=16,color="magenta"];340 -> 489[label="",style="dashed", color="magenta", weight=3]; 340 -> 490[label="",style="dashed", color="magenta", weight=3]; 341 -> 131[label="",style="dashed", color="red", weight=0]; 341[label="xy3000 == xy4000",fontsize=16,color="magenta"];341 -> 491[label="",style="dashed", color="magenta", weight=3]; 341 -> 492[label="",style="dashed", color="magenta", weight=3]; 342 -> 132[label="",style="dashed", color="red", weight=0]; 342[label="xy3000 == xy4000",fontsize=16,color="magenta"];342 -> 493[label="",style="dashed", color="magenta", weight=3]; 342 -> 494[label="",style="dashed", color="magenta", weight=3]; 343 -> 133[label="",style="dashed", color="red", weight=0]; 343[label="xy3000 == xy4000",fontsize=16,color="magenta"];343 -> 495[label="",style="dashed", color="magenta", weight=3]; 343 -> 496[label="",style="dashed", color="magenta", weight=3]; 344 -> 134[label="",style="dashed", color="red", weight=0]; 344[label="xy3000 == xy4000",fontsize=16,color="magenta"];344 -> 497[label="",style="dashed", color="magenta", weight=3]; 344 -> 498[label="",style="dashed", color="magenta", weight=3]; 345 -> 135[label="",style="dashed", color="red", weight=0]; 345[label="xy3000 == xy4000",fontsize=16,color="magenta"];345 -> 499[label="",style="dashed", color="magenta", weight=3]; 345 -> 500[label="",style="dashed", color="magenta", weight=3]; 346[label="xy3001",fontsize=16,color="green",shape="box"];347[label="xy4001",fontsize=16,color="green",shape="box"];348[label="primEqInt (Pos (Succ xy30000)) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];348 -> 501[label="",style="solid", color="black", weight=3]; 349[label="primEqInt (Pos (Succ xy30000)) (Pos Zero)",fontsize=16,color="black",shape="box"];349 -> 502[label="",style="solid", color="black", weight=3]; 350[label="False",fontsize=16,color="green",shape="box"];351[label="primEqInt (Pos Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];351 -> 503[label="",style="solid", color="black", weight=3]; 352[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];352 -> 504[label="",style="solid", color="black", weight=3]; 353[label="primEqInt (Pos Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];353 -> 505[label="",style="solid", color="black", weight=3]; 354[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];354 -> 506[label="",style="solid", color="black", weight=3]; 355[label="False",fontsize=16,color="green",shape="box"];356[label="primEqInt (Neg (Succ xy30000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];356 -> 507[label="",style="solid", color="black", weight=3]; 357[label="primEqInt (Neg (Succ xy30000)) (Neg Zero)",fontsize=16,color="black",shape="box"];357 -> 508[label="",style="solid", color="black", weight=3]; 358[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];358 -> 509[label="",style="solid", color="black", weight=3]; 359[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];359 -> 510[label="",style="solid", 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526[label="",style="dashed", color="magenta", weight=3]; 369 -> 129[label="",style="dashed", color="red", weight=0]; 369[label="xy3000 == xy4000",fontsize=16,color="magenta"];369 -> 527[label="",style="dashed", color="magenta", weight=3]; 369 -> 528[label="",style="dashed", color="magenta", weight=3]; 370 -> 130[label="",style="dashed", color="red", weight=0]; 370[label="xy3000 == xy4000",fontsize=16,color="magenta"];370 -> 529[label="",style="dashed", color="magenta", weight=3]; 370 -> 530[label="",style="dashed", color="magenta", weight=3]; 371 -> 131[label="",style="dashed", color="red", weight=0]; 371[label="xy3000 == xy4000",fontsize=16,color="magenta"];371 -> 531[label="",style="dashed", color="magenta", weight=3]; 371 -> 532[label="",style="dashed", color="magenta", weight=3]; 372 -> 132[label="",style="dashed", color="red", weight=0]; 372[label="xy3000 == xy4000",fontsize=16,color="magenta"];372 -> 533[label="",style="dashed", color="magenta", weight=3]; 372 -> 534[label="",style="dashed", color="magenta", weight=3]; 373 -> 133[label="",style="dashed", color="red", weight=0]; 373[label="xy3000 == xy4000",fontsize=16,color="magenta"];373 -> 535[label="",style="dashed", color="magenta", weight=3]; 373 -> 536[label="",style="dashed", color="magenta", weight=3]; 374 -> 134[label="",style="dashed", color="red", weight=0]; 374[label="xy3000 == xy4000",fontsize=16,color="magenta"];374 -> 537[label="",style="dashed", color="magenta", weight=3]; 374 -> 538[label="",style="dashed", color="magenta", weight=3]; 375 -> 135[label="",style="dashed", color="red", weight=0]; 375[label="xy3000 == xy4000",fontsize=16,color="magenta"];375 -> 539[label="",style="dashed", color="magenta", weight=3]; 375 -> 540[label="",style="dashed", color="magenta", weight=3]; 376[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];889[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 889[label="",style="solid", 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Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 546[label="",style="solid", color="blue", weight=3]; 895[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 547[label="",style="solid", color="blue", weight=3]; 896[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 548[label="",style="solid", color="blue", weight=3]; 897[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 549[label="",style="solid", color="blue", weight=3]; 898[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 550[label="",style="solid", color="blue", weight=3]; 899[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 551[label="",style="solid", color="blue", weight=3]; 900[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 552[label="",style="solid", color="blue", weight=3]; 901[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 553[label="",style="solid", color="blue", weight=3]; 902[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];376 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 554[label="",style="solid", color="blue", weight=3]; 377[label="xy3002 == xy4002",fontsize=16,color="blue",shape="box"];903[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 555[label="",style="solid", color="blue", weight=3]; 904[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 556[label="",style="solid", color="blue", weight=3]; 905[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 557[label="",style="solid", color="blue", weight=3]; 906[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 558[label="",style="solid", color="blue", weight=3]; 907[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 559[label="",style="solid", color="blue", weight=3]; 908[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 560[label="",style="solid", color="blue", weight=3]; 909[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 561[label="",style="solid", color="blue", weight=3]; 910[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 562[label="",style="solid", color="blue", weight=3]; 911[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 563[label="",style="solid", color="blue", weight=3]; 912[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 564[label="",style="solid", color="blue", weight=3]; 913[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 565[label="",style="solid", color="blue", weight=3]; 914[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 566[label="",style="solid", color="blue", weight=3]; 915[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 567[label="",style="solid", color="blue", weight=3]; 916[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];377 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 568[label="",style="solid", color="blue", weight=3]; 378 -> 330[label="",style="dashed", color="red", weight=0]; 378[label="xy3000 * xy4001",fontsize=16,color="magenta"];378 -> 569[label="",style="dashed", color="magenta", weight=3]; 378 -> 570[label="",style="dashed", color="magenta", weight=3]; 379 -> 330[label="",style="dashed", color="red", weight=0]; 379[label="xy3001 * xy4000",fontsize=16,color="magenta"];379 -> 571[label="",style="dashed", color="magenta", weight=3]; 379 -> 572[label="",style="dashed", color="magenta", weight=3]; 380[label="xy3000",fontsize=16,color="green",shape="box"];381[label="xy4000",fontsize=16,color="green",shape="box"];382[label="xy3000",fontsize=16,color="green",shape="box"];383[label="xy4000",fontsize=16,color="green",shape="box"];384[label="xy3000",fontsize=16,color="green",shape="box"];385[label="xy4000",fontsize=16,color="green",shape="box"];386[label="xy3000",fontsize=16,color="green",shape="box"];387[label="xy4000",fontsize=16,color="green",shape="box"];388[label="xy3000",fontsize=16,color="green",shape="box"];389[label="xy4000",fontsize=16,color="green",shape="box"];390[label="xy3000",fontsize=16,color="green",shape="box"];391[label="xy4000",fontsize=16,color="green",shape="box"];392[label="xy3000",fontsize=16,color="green",shape="box"];393[label="xy4000",fontsize=16,color="green",shape="box"];394[label="xy3000",fontsize=16,color="green",shape="box"];395[label="xy4000",fontsize=16,color="green",shape="box"];396[label="xy3000",fontsize=16,color="green",shape="box"];397[label="xy4000",fontsize=16,color="green",shape="box"];398[label="xy3000",fontsize=16,color="green",shape="box"];399[label="xy4000",fontsize=16,color="green",shape="box"];400[label="xy3000",fontsize=16,color="green",shape="box"];401[label="xy4000",fontsize=16,color="green",shape="box"];402[label="xy3000",fontsize=16,color="green",shape="box"];403[label="xy4000",fontsize=16,color="green",shape="box"];404[label="xy3000",fontsize=16,color="green",shape="box"];405[label="xy4000",fontsize=16,color="green",shape="box"];406[label="xy3000",fontsize=16,color="green",shape="box"];407[label="xy4000",fontsize=16,color="green",shape="box"];408[label="primEqNat (Succ xy30000) xy4000",fontsize=16,color="burlywood",shape="box"];917[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];408 -> 917[label="",style="solid", color="burlywood", weight=9]; 917 -> 573[label="",style="solid", color="burlywood", weight=3]; 918[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];408 -> 918[label="",style="solid", color="burlywood", weight=9]; 918 -> 574[label="",style="solid", color="burlywood", weight=3]; 409[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];919[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];409 -> 919[label="",style="solid", color="burlywood", weight=9]; 919 -> 575[label="",style="solid", color="burlywood", weight=3]; 920[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];409 -> 920[label="",style="solid", color="burlywood", weight=9]; 920 -> 576[label="",style="solid", color="burlywood", weight=3]; 410[label="xy3000",fontsize=16,color="green",shape="box"];411[label="xy4000",fontsize=16,color="green",shape="box"];412[label="xy3000",fontsize=16,color="green",shape="box"];413[label="xy4000",fontsize=16,color="green",shape="box"];414[label="xy3000",fontsize=16,color="green",shape="box"];415[label="xy4000",fontsize=16,color="green",shape="box"];416[label="xy3000",fontsize=16,color="green",shape="box"];417[label="xy4000",fontsize=16,color="green",shape="box"];418[label="xy3000",fontsize=16,color="green",shape="box"];419[label="xy4000",fontsize=16,color="green",shape="box"];420[label="xy3000",fontsize=16,color="green",shape="box"];421[label="xy4000",fontsize=16,color="green",shape="box"];422[label="xy3000",fontsize=16,color="green",shape="box"];423[label="xy4000",fontsize=16,color="green",shape="box"];424[label="xy3000",fontsize=16,color="green",shape="box"];425[label="xy4000",fontsize=16,color="green",shape="box"];426[label="xy3000",fontsize=16,color="green",shape="box"];427[label="xy4000",fontsize=16,color="green",shape="box"];428[label="xy3000",fontsize=16,color="green",shape="box"];429[label="xy4000",fontsize=16,color="green",shape="box"];430[label="xy3000",fontsize=16,color="green",shape="box"];431[label="xy4000",fontsize=16,color="green",shape="box"];432[label="xy3000",fontsize=16,color="green",shape="box"];433[label="xy4000",fontsize=16,color="green",shape="box"];434[label="xy3000",fontsize=16,color="green",shape="box"];435[label="xy4000",fontsize=16,color="green",shape="box"];436[label="xy3000",fontsize=16,color="green",shape="box"];437[label="xy4000",fontsize=16,color="green",shape="box"];438[label="xy3000",fontsize=16,color="green",shape="box"];439[label="xy4000",fontsize=16,color="green",shape="box"];440[label="xy3000",fontsize=16,color="green",shape="box"];441[label="xy4000",fontsize=16,color="green",shape="box"];442[label="xy3000",fontsize=16,color="green",shape="box"];443[label="xy4000",fontsize=16,color="green",shape="box"];444[label="xy3000",fontsize=16,color="green",shape="box"];445[label="xy4000",fontsize=16,color="green",shape="box"];446[label="xy3000",fontsize=16,color="green",shape="box"];447[label="xy4000",fontsize=16,color="green",shape="box"];448[label="xy3000",fontsize=16,color="green",shape="box"];449[label="xy4000",fontsize=16,color="green",shape="box"];450[label="xy3000",fontsize=16,color="green",shape="box"];451[label="xy4000",fontsize=16,color="green",shape="box"];452[label="xy3000",fontsize=16,color="green",shape="box"];453[label="xy4000",fontsize=16,color="green",shape="box"];454[label="xy3000",fontsize=16,color="green",shape="box"];455[label="xy4000",fontsize=16,color="green",shape="box"];456[label="xy3000",fontsize=16,color="green",shape="box"];457[label="xy4000",fontsize=16,color="green",shape="box"];458[label="xy3000",fontsize=16,color="green",shape="box"];459[label="xy4000",fontsize=16,color="green",shape="box"];460[label="xy3000",fontsize=16,color="green",shape="box"];461[label="xy4000",fontsize=16,color="green",shape="box"];462[label="xy3000",fontsize=16,color="green",shape="box"];463[label="xy4000",fontsize=16,color="green",shape="box"];464[label="xy3000",fontsize=16,color="green",shape="box"];465[label="xy4000",fontsize=16,color="green",shape="box"];466 -> 128[label="",style="dashed", color="red", weight=0]; 466[label="xy3000 == xy4000",fontsize=16,color="magenta"];466 -> 577[label="",style="dashed", color="magenta", weight=3]; 466 -> 578[label="",style="dashed", color="magenta", weight=3]; 467 -> 129[label="",style="dashed", color="red", weight=0]; 467[label="xy3000 == xy4000",fontsize=16,color="magenta"];467 -> 579[label="",style="dashed", color="magenta", weight=3]; 467 -> 580[label="",style="dashed", color="magenta", weight=3]; 468 -> 128[label="",style="dashed", color="red", weight=0]; 468[label="xy3001 == xy4001",fontsize=16,color="magenta"];468 -> 581[label="",style="dashed", color="magenta", weight=3]; 468 -> 582[label="",style="dashed", color="magenta", weight=3]; 469 -> 129[label="",style="dashed", color="red", weight=0]; 469[label="xy3001 == xy4001",fontsize=16,color="magenta"];469 -> 583[label="",style="dashed", color="magenta", weight=3]; 469 -> 584[label="",style="dashed", color="magenta", weight=3]; 470[label="primMulInt xy3000 xy4001",fontsize=16,color="burlywood",shape="box"];921[label="xy3000/Pos xy30000",fontsize=10,color="white",style="solid",shape="box"];470 -> 921[label="",style="solid", color="burlywood", weight=9]; 921 -> 585[label="",style="solid", color="burlywood", weight=3]; 922[label="xy3000/Neg xy30000",fontsize=10,color="white",style="solid",shape="box"];470 -> 922[label="",style="solid", color="burlywood", weight=9]; 922 -> 586[label="",style="solid", color="burlywood", weight=3]; 471[label="xy3001",fontsize=16,color="green",shape="box"];472[label="xy4000",fontsize=16,color="green",shape="box"];473[label="xy3000",fontsize=16,color="green",shape="box"];474[label="xy4000",fontsize=16,color="green",shape="box"];475[label="xy3000",fontsize=16,color="green",shape="box"];476[label="xy4000",fontsize=16,color="green",shape="box"];477[label="xy3000",fontsize=16,color="green",shape="box"];478[label="xy4000",fontsize=16,color="green",shape="box"];479[label="xy3000",fontsize=16,color="green",shape="box"];480[label="xy4000",fontsize=16,color="green",shape="box"];481[label="xy3000",fontsize=16,color="green",shape="box"];482[label="xy4000",fontsize=16,color="green",shape="box"];483[label="xy3000",fontsize=16,color="green",shape="box"];484[label="xy4000",fontsize=16,color="green",shape="box"];485[label="xy3000",fontsize=16,color="green",shape="box"];486[label="xy4000",fontsize=16,color="green",shape="box"];487[label="xy3000",fontsize=16,color="green",shape="box"];488[label="xy4000",fontsize=16,color="green",shape="box"];489[label="xy3000",fontsize=16,color="green",shape="box"];490[label="xy4000",fontsize=16,color="green",shape="box"];491[label="xy3000",fontsize=16,color="green",shape="box"];492[label="xy4000",fontsize=16,color="green",shape="box"];493[label="xy3000",fontsize=16,color="green",shape="box"];494[label="xy4000",fontsize=16,color="green",shape="box"];495[label="xy3000",fontsize=16,color="green",shape="box"];496[label="xy4000",fontsize=16,color="green",shape="box"];497[label="xy3000",fontsize=16,color="green",shape="box"];498[label="xy4000",fontsize=16,color="green",shape="box"];499[label="xy3000",fontsize=16,color="green",shape="box"];500[label="xy4000",fontsize=16,color="green",shape="box"];501 -> 299[label="",style="dashed", color="red", weight=0]; 501[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];501 -> 587[label="",style="dashed", color="magenta", weight=3]; 501 -> 588[label="",style="dashed", color="magenta", weight=3]; 502[label="False",fontsize=16,color="green",shape="box"];503[label="False",fontsize=16,color="green",shape="box"];504[label="True",fontsize=16,color="green",shape="box"];505[label="False",fontsize=16,color="green",shape="box"];506[label="True",fontsize=16,color="green",shape="box"];507 -> 299[label="",style="dashed", color="red", weight=0]; 507[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];507 -> 589[label="",style="dashed", color="magenta", weight=3]; 507 -> 590[label="",style="dashed", color="magenta", weight=3]; 508[label="False",fontsize=16,color="green",shape="box"];509[label="False",fontsize=16,color="green",shape="box"];510[label="True",fontsize=16,color="green",shape="box"];511[label="False",fontsize=16,color="green",shape="box"];512[label="True",fontsize=16,color="green",shape="box"];513[label="xy3000",fontsize=16,color="green",shape="box"];514[label="xy4000",fontsize=16,color="green",shape="box"];515[label="xy3000",fontsize=16,color="green",shape="box"];516[label="xy4000",fontsize=16,color="green",shape="box"];517[label="xy3000",fontsize=16,color="green",shape="box"];518[label="xy4000",fontsize=16,color="green",shape="box"];519[label="xy3000",fontsize=16,color="green",shape="box"];520[label="xy4000",fontsize=16,color="green",shape="box"];521[label="xy3000",fontsize=16,color="green",shape="box"];522[label="xy4000",fontsize=16,color="green",shape="box"];523[label="xy3000",fontsize=16,color="green",shape="box"];524[label="xy4000",fontsize=16,color="green",shape="box"];525[label="xy3000",fontsize=16,color="green",shape="box"];526[label="xy4000",fontsize=16,color="green",shape="box"];527[label="xy3000",fontsize=16,color="green",shape="box"];528[label="xy4000",fontsize=16,color="green",shape="box"];529[label="xy3000",fontsize=16,color="green",shape="box"];530[label="xy4000",fontsize=16,color="green",shape="box"];531[label="xy3000",fontsize=16,color="green",shape="box"];532[label="xy4000",fontsize=16,color="green",shape="box"];533[label="xy3000",fontsize=16,color="green",shape="box"];534[label="xy4000",fontsize=16,color="green",shape="box"];535[label="xy3000",fontsize=16,color="green",shape="box"];536[label="xy4000",fontsize=16,color="green",shape="box"];537[label="xy3000",fontsize=16,color="green",shape="box"];538[label="xy4000",fontsize=16,color="green",shape="box"];539[label="xy3000",fontsize=16,color="green",shape="box"];540[label="xy4000",fontsize=16,color="green",shape="box"];541 -> 122[label="",style="dashed", color="red", weight=0]; 541[label="xy3001 == xy4001",fontsize=16,color="magenta"];541 -> 591[label="",style="dashed", color="magenta", weight=3]; 541 -> 592[label="",style="dashed", color="magenta", weight=3]; 542 -> 123[label="",style="dashed", color="red", weight=0]; 542[label="xy3001 == xy4001",fontsize=16,color="magenta"];542 -> 593[label="",style="dashed", color="magenta", weight=3]; 542 -> 594[label="",style="dashed", color="magenta", weight=3]; 543 -> 124[label="",style="dashed", color="red", weight=0]; 543[label="xy3001 == xy4001",fontsize=16,color="magenta"];543 -> 595[label="",style="dashed", color="magenta", weight=3]; 543 -> 596[label="",style="dashed", color="magenta", weight=3]; 544 -> 99[label="",style="dashed", color="red", weight=0]; 544[label="xy3001 == xy4001",fontsize=16,color="magenta"];544 -> 597[label="",style="dashed", color="magenta", weight=3]; 544 -> 598[label="",style="dashed", color="magenta", weight=3]; 545 -> 126[label="",style="dashed", color="red", weight=0]; 545[label="xy3001 == xy4001",fontsize=16,color="magenta"];545 -> 599[label="",style="dashed", color="magenta", weight=3]; 545 -> 600[label="",style="dashed", color="magenta", weight=3]; 546 -> 127[label="",style="dashed", color="red", weight=0]; 546[label="xy3001 == xy4001",fontsize=16,color="magenta"];546 -> 601[label="",style="dashed", color="magenta", weight=3]; 546 -> 602[label="",style="dashed", color="magenta", weight=3]; 547 -> 128[label="",style="dashed", color="red", weight=0]; 547[label="xy3001 == xy4001",fontsize=16,color="magenta"];547 -> 603[label="",style="dashed", color="magenta", weight=3]; 547 -> 604[label="",style="dashed", color="magenta", weight=3]; 548 -> 129[label="",style="dashed", color="red", weight=0]; 548[label="xy3001 == xy4001",fontsize=16,color="magenta"];548 -> 605[label="",style="dashed", color="magenta", weight=3]; 548 -> 606[label="",style="dashed", color="magenta", weight=3]; 549 -> 130[label="",style="dashed", color="red", weight=0]; 549[label="xy3001 == xy4001",fontsize=16,color="magenta"];549 -> 607[label="",style="dashed", color="magenta", weight=3]; 549 -> 608[label="",style="dashed", color="magenta", weight=3]; 550 -> 131[label="",style="dashed", color="red", weight=0]; 550[label="xy3001 == xy4001",fontsize=16,color="magenta"];550 -> 609[label="",style="dashed", color="magenta", weight=3]; 550 -> 610[label="",style="dashed", color="magenta", weight=3]; 551 -> 132[label="",style="dashed", color="red", weight=0]; 551[label="xy3001 == xy4001",fontsize=16,color="magenta"];551 -> 611[label="",style="dashed", color="magenta", weight=3]; 551 -> 612[label="",style="dashed", color="magenta", weight=3]; 552 -> 133[label="",style="dashed", color="red", weight=0]; 552[label="xy3001 == xy4001",fontsize=16,color="magenta"];552 -> 613[label="",style="dashed", color="magenta", weight=3]; 552 -> 614[label="",style="dashed", color="magenta", weight=3]; 553 -> 134[label="",style="dashed", color="red", weight=0]; 553[label="xy3001 == xy4001",fontsize=16,color="magenta"];553 -> 615[label="",style="dashed", color="magenta", weight=3]; 553 -> 616[label="",style="dashed", color="magenta", weight=3]; 554 -> 135[label="",style="dashed", color="red", weight=0]; 554[label="xy3001 == xy4001",fontsize=16,color="magenta"];554 -> 617[label="",style="dashed", color="magenta", weight=3]; 554 -> 618[label="",style="dashed", color="magenta", weight=3]; 555 -> 122[label="",style="dashed", color="red", weight=0]; 555[label="xy3002 == xy4002",fontsize=16,color="magenta"];555 -> 619[label="",style="dashed", color="magenta", weight=3]; 555 -> 620[label="",style="dashed", color="magenta", weight=3]; 556 -> 123[label="",style="dashed", color="red", weight=0]; 556[label="xy3002 == xy4002",fontsize=16,color="magenta"];556 -> 621[label="",style="dashed", color="magenta", weight=3]; 556 -> 622[label="",style="dashed", color="magenta", weight=3]; 557 -> 124[label="",style="dashed", color="red", weight=0]; 557[label="xy3002 == xy4002",fontsize=16,color="magenta"];557 -> 623[label="",style="dashed", color="magenta", weight=3]; 557 -> 624[label="",style="dashed", color="magenta", weight=3]; 558 -> 99[label="",style="dashed", color="red", weight=0]; 558[label="xy3002 == xy4002",fontsize=16,color="magenta"];558 -> 625[label="",style="dashed", color="magenta", weight=3]; 558 -> 626[label="",style="dashed", color="magenta", weight=3]; 559 -> 126[label="",style="dashed", color="red", weight=0]; 559[label="xy3002 == xy4002",fontsize=16,color="magenta"];559 -> 627[label="",style="dashed", color="magenta", weight=3]; 559 -> 628[label="",style="dashed", color="magenta", weight=3]; 560 -> 127[label="",style="dashed", color="red", weight=0]; 560[label="xy3002 == xy4002",fontsize=16,color="magenta"];560 -> 629[label="",style="dashed", color="magenta", weight=3]; 560 -> 630[label="",style="dashed", color="magenta", weight=3]; 561 -> 128[label="",style="dashed", color="red", weight=0]; 561[label="xy3002 == xy4002",fontsize=16,color="magenta"];561 -> 631[label="",style="dashed", color="magenta", weight=3]; 561 -> 632[label="",style="dashed", color="magenta", weight=3]; 562 -> 129[label="",style="dashed", color="red", weight=0]; 562[label="xy3002 == xy4002",fontsize=16,color="magenta"];562 -> 633[label="",style="dashed", color="magenta", weight=3]; 562 -> 634[label="",style="dashed", color="magenta", weight=3]; 563 -> 130[label="",style="dashed", color="red", weight=0]; 563[label="xy3002 == xy4002",fontsize=16,color="magenta"];563 -> 635[label="",style="dashed", color="magenta", weight=3]; 563 -> 636[label="",style="dashed", color="magenta", weight=3]; 564 -> 131[label="",style="dashed", color="red", weight=0]; 564[label="xy3002 == xy4002",fontsize=16,color="magenta"];564 -> 637[label="",style="dashed", color="magenta", weight=3]; 564 -> 638[label="",style="dashed", color="magenta", weight=3]; 565 -> 132[label="",style="dashed", color="red", weight=0]; 565[label="xy3002 == xy4002",fontsize=16,color="magenta"];565 -> 639[label="",style="dashed", color="magenta", weight=3]; 565 -> 640[label="",style="dashed", color="magenta", weight=3]; 566 -> 133[label="",style="dashed", color="red", weight=0]; 566[label="xy3002 == xy4002",fontsize=16,color="magenta"];566 -> 641[label="",style="dashed", color="magenta", weight=3]; 566 -> 642[label="",style="dashed", color="magenta", weight=3]; 567 -> 134[label="",style="dashed", color="red", weight=0]; 567[label="xy3002 == xy4002",fontsize=16,color="magenta"];567 -> 643[label="",style="dashed", color="magenta", weight=3]; 567 -> 644[label="",style="dashed", color="magenta", weight=3]; 568 -> 135[label="",style="dashed", color="red", weight=0]; 568[label="xy3002 == xy4002",fontsize=16,color="magenta"];568 -> 645[label="",style="dashed", color="magenta", weight=3]; 568 -> 646[label="",style="dashed", color="magenta", weight=3]; 569[label="xy3000",fontsize=16,color="green",shape="box"];570[label="xy4001",fontsize=16,color="green",shape="box"];571[label="xy3001",fontsize=16,color="green",shape="box"];572[label="xy4000",fontsize=16,color="green",shape="box"];573[label="primEqNat (Succ xy30000) (Succ xy40000)",fontsize=16,color="black",shape="box"];573 -> 647[label="",style="solid", color="black", weight=3]; 574[label="primEqNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];574 -> 648[label="",style="solid", color="black", weight=3]; 575[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];575 -> 649[label="",style="solid", color="black", weight=3]; 576[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];576 -> 650[label="",style="solid", color="black", weight=3]; 577[label="xy3000",fontsize=16,color="green",shape="box"];578[label="xy4000",fontsize=16,color="green",shape="box"];579[label="xy3000",fontsize=16,color="green",shape="box"];580[label="xy4000",fontsize=16,color="green",shape="box"];581[label="xy3001",fontsize=16,color="green",shape="box"];582[label="xy4001",fontsize=16,color="green",shape="box"];583[label="xy3001",fontsize=16,color="green",shape="box"];584[label="xy4001",fontsize=16,color="green",shape="box"];585[label="primMulInt (Pos xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];923[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];585 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 651[label="",style="solid", color="burlywood", weight=3]; 924[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];585 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 652[label="",style="solid", color="burlywood", weight=3]; 586[label="primMulInt (Neg xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];925[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];586 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 653[label="",style="solid", color="burlywood", weight=3]; 926[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];586 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 654[label="",style="solid", color="burlywood", weight=3]; 587[label="xy40000",fontsize=16,color="green",shape="box"];588[label="xy30000",fontsize=16,color="green",shape="box"];589[label="xy40000",fontsize=16,color="green",shape="box"];590[label="xy30000",fontsize=16,color="green",shape="box"];591[label="xy3001",fontsize=16,color="green",shape="box"];592[label="xy4001",fontsize=16,color="green",shape="box"];593[label="xy3001",fontsize=16,color="green",shape="box"];594[label="xy4001",fontsize=16,color="green",shape="box"];595[label="xy3001",fontsize=16,color="green",shape="box"];596[label="xy4001",fontsize=16,color="green",shape="box"];597[label="xy3001",fontsize=16,color="green",shape="box"];598[label="xy4001",fontsize=16,color="green",shape="box"];599[label="xy3001",fontsize=16,color="green",shape="box"];600[label="xy4001",fontsize=16,color="green",shape="box"];601[label="xy3001",fontsize=16,color="green",shape="box"];602[label="xy4001",fontsize=16,color="green",shape="box"];603[label="xy3001",fontsize=16,color="green",shape="box"];604[label="xy4001",fontsize=16,color="green",shape="box"];605[label="xy3001",fontsize=16,color="green",shape="box"];606[label="xy4001",fontsize=16,color="green",shape="box"];607[label="xy3001",fontsize=16,color="green",shape="box"];608[label="xy4001",fontsize=16,color="green",shape="box"];609[label="xy3001",fontsize=16,color="green",shape="box"];610[label="xy4001",fontsize=16,color="green",shape="box"];611[label="xy3001",fontsize=16,color="green",shape="box"];612[label="xy4001",fontsize=16,color="green",shape="box"];613[label="xy3001",fontsize=16,color="green",shape="box"];614[label="xy4001",fontsize=16,color="green",shape="box"];615[label="xy3001",fontsize=16,color="green",shape="box"];616[label="xy4001",fontsize=16,color="green",shape="box"];617[label="xy3001",fontsize=16,color="green",shape="box"];618[label="xy4001",fontsize=16,color="green",shape="box"];619[label="xy3002",fontsize=16,color="green",shape="box"];620[label="xy4002",fontsize=16,color="green",shape="box"];621[label="xy3002",fontsize=16,color="green",shape="box"];622[label="xy4002",fontsize=16,color="green",shape="box"];623[label="xy3002",fontsize=16,color="green",shape="box"];624[label="xy4002",fontsize=16,color="green",shape="box"];625[label="xy3002",fontsize=16,color="green",shape="box"];626[label="xy4002",fontsize=16,color="green",shape="box"];627[label="xy3002",fontsize=16,color="green",shape="box"];628[label="xy4002",fontsize=16,color="green",shape="box"];629[label="xy3002",fontsize=16,color="green",shape="box"];630[label="xy4002",fontsize=16,color="green",shape="box"];631[label="xy3002",fontsize=16,color="green",shape="box"];632[label="xy4002",fontsize=16,color="green",shape="box"];633[label="xy3002",fontsize=16,color="green",shape="box"];634[label="xy4002",fontsize=16,color="green",shape="box"];635[label="xy3002",fontsize=16,color="green",shape="box"];636[label="xy4002",fontsize=16,color="green",shape="box"];637[label="xy3002",fontsize=16,color="green",shape="box"];638[label="xy4002",fontsize=16,color="green",shape="box"];639[label="xy3002",fontsize=16,color="green",shape="box"];640[label="xy4002",fontsize=16,color="green",shape="box"];641[label="xy3002",fontsize=16,color="green",shape="box"];642[label="xy4002",fontsize=16,color="green",shape="box"];643[label="xy3002",fontsize=16,color="green",shape="box"];644[label="xy4002",fontsize=16,color="green",shape="box"];645[label="xy3002",fontsize=16,color="green",shape="box"];646[label="xy4002",fontsize=16,color="green",shape="box"];647 -> 299[label="",style="dashed", color="red", weight=0]; 647[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];647 -> 655[label="",style="dashed", color="magenta", weight=3]; 647 -> 656[label="",style="dashed", color="magenta", weight=3]; 648[label="False",fontsize=16,color="green",shape="box"];649[label="False",fontsize=16,color="green",shape="box"];650[label="True",fontsize=16,color="green",shape="box"];651[label="primMulInt (Pos xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];651 -> 657[label="",style="solid", color="black", weight=3]; 652[label="primMulInt (Pos xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];652 -> 658[label="",style="solid", color="black", weight=3]; 653[label="primMulInt (Neg xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];653 -> 659[label="",style="solid", color="black", weight=3]; 654[label="primMulInt (Neg xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];654 -> 660[label="",style="solid", color="black", weight=3]; 655[label="xy40000",fontsize=16,color="green",shape="box"];656[label="xy30000",fontsize=16,color="green",shape="box"];657[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];657 -> 661[label="",style="dashed", color="green", weight=3]; 658[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];658 -> 662[label="",style="dashed", color="green", weight=3]; 659[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];659 -> 663[label="",style="dashed", color="green", weight=3]; 660[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];660 -> 664[label="",style="dashed", color="green", weight=3]; 661[label="primMulNat xy30000 xy40010",fontsize=16,color="burlywood",shape="triangle"];927[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];661 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 665[label="",style="solid", color="burlywood", weight=3]; 928[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];661 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 666[label="",style="solid", color="burlywood", weight=3]; 662 -> 661[label="",style="dashed", color="red", weight=0]; 662[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];662 -> 667[label="",style="dashed", color="magenta", weight=3]; 663 -> 661[label="",style="dashed", color="red", weight=0]; 663[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];663 -> 668[label="",style="dashed", color="magenta", weight=3]; 664 -> 661[label="",style="dashed", color="red", weight=0]; 664[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];664 -> 669[label="",style="dashed", color="magenta", weight=3]; 664 -> 670[label="",style="dashed", color="magenta", weight=3]; 665[label="primMulNat (Succ xy300000) xy40010",fontsize=16,color="burlywood",shape="box"];929[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];665 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 671[label="",style="solid", color="burlywood", weight=3]; 930[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 672[label="",style="solid", color="burlywood", weight=3]; 666[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];931[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];666 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 673[label="",style="solid", color="burlywood", weight=3]; 932[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];666 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 674[label="",style="solid", color="burlywood", weight=3]; 667[label="xy40010",fontsize=16,color="green",shape="box"];668[label="xy30000",fontsize=16,color="green",shape="box"];669[label="xy40010",fontsize=16,color="green",shape="box"];670[label="xy30000",fontsize=16,color="green",shape="box"];671[label="primMulNat (Succ xy300000) (Succ xy400100)",fontsize=16,color="black",shape="box"];671 -> 675[label="",style="solid", color="black", weight=3]; 672[label="primMulNat (Succ xy300000) Zero",fontsize=16,color="black",shape="box"];672 -> 676[label="",style="solid", color="black", weight=3]; 673[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];673 -> 677[label="",style="solid", color="black", weight=3]; 674[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];674 -> 678[label="",style="solid", color="black", weight=3]; 675 -> 679[label="",style="dashed", color="red", weight=0]; 675[label="primPlusNat (primMulNat xy300000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];675 -> 680[label="",style="dashed", color="magenta", weight=3]; 676[label="Zero",fontsize=16,color="green",shape="box"];677[label="Zero",fontsize=16,color="green",shape="box"];678[label="Zero",fontsize=16,color="green",shape="box"];680 -> 661[label="",style="dashed", color="red", weight=0]; 680[label="primMulNat xy300000 (Succ xy400100)",fontsize=16,color="magenta"];680 -> 681[label="",style="dashed", color="magenta", weight=3]; 680 -> 682[label="",style="dashed", color="magenta", weight=3]; 679[label="primPlusNat xy20 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];933[label="xy20/Succ xy200",fontsize=10,color="white",style="solid",shape="box"];679 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 683[label="",style="solid", color="burlywood", weight=3]; 934[label="xy20/Zero",fontsize=10,color="white",style="solid",shape="box"];679 -> 934[label="",style="solid", color="burlywood", weight=9]; 934 -> 684[label="",style="solid", color="burlywood", weight=3]; 681[label="Succ xy400100",fontsize=16,color="green",shape="box"];682[label="xy300000",fontsize=16,color="green",shape="box"];683[label="primPlusNat (Succ xy200) (Succ xy400100)",fontsize=16,color="black",shape="box"];683 -> 685[label="",style="solid", color="black", weight=3]; 684[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];684 -> 686[label="",style="solid", color="black", weight=3]; 685[label="Succ (Succ (primPlusNat xy200 xy400100))",fontsize=16,color="green",shape="box"];685 -> 687[label="",style="dashed", color="green", weight=3]; 686[label="Succ xy400100",fontsize=16,color="green",shape="box"];687[label="primPlusNat xy200 xy400100",fontsize=16,color="burlywood",shape="triangle"];935[label="xy200/Succ xy2000",fontsize=10,color="white",style="solid",shape="box"];687 -> 935[label="",style="solid", color="burlywood", weight=9]; 935 -> 688[label="",style="solid", color="burlywood", weight=3]; 936[label="xy200/Zero",fontsize=10,color="white",style="solid",shape="box"];687 -> 936[label="",style="solid", color="burlywood", weight=9]; 936 -> 689[label="",style="solid", color="burlywood", weight=3]; 688[label="primPlusNat (Succ xy2000) xy400100",fontsize=16,color="burlywood",shape="box"];937[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];688 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 690[label="",style="solid", color="burlywood", weight=3]; 938[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];688 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 691[label="",style="solid", color="burlywood", weight=3]; 689[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];939[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];689 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 692[label="",style="solid", color="burlywood", weight=3]; 940[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];689 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 693[label="",style="solid", color="burlywood", weight=3]; 690[label="primPlusNat (Succ xy2000) (Succ xy4001000)",fontsize=16,color="black",shape="box"];690 -> 694[label="",style="solid", color="black", weight=3]; 691[label="primPlusNat (Succ xy2000) Zero",fontsize=16,color="black",shape="box"];691 -> 695[label="",style="solid", color="black", weight=3]; 692[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];692 -> 696[label="",style="solid", color="black", weight=3]; 693[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];693 -> 697[label="",style="solid", color="black", weight=3]; 694[label="Succ (Succ (primPlusNat xy2000 xy4001000))",fontsize=16,color="green",shape="box"];694 -> 698[label="",style="dashed", color="green", weight=3]; 695[label="Succ xy2000",fontsize=16,color="green",shape="box"];696[label="Succ xy4001000",fontsize=16,color="green",shape="box"];697[label="Zero",fontsize=16,color="green",shape="box"];698 -> 687[label="",style="dashed", color="red", weight=0]; 698[label="primPlusNat xy2000 xy4001000",fontsize=16,color="magenta"];698 -> 699[label="",style="dashed", color="magenta", weight=3]; 698 -> 700[label="",style="dashed", color="magenta", weight=3]; 699[label="xy2000",fontsize=16,color="green",shape="box"];700[label="xy4001000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_[], bcf)) -> new_esEs0(xy301, xy401, bcf) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(ty_Maybe, fa)), db), bc) -> new_esEs2(xy3001, xy4001, fa) new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_@2, hg), hh)), baa), bc) -> new_esEs(xy3000, xy4000, hg, hh) new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_@2, gf), gg)) -> new_esEs(xy3000, xy4000, gf, gg) new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_Maybe, cb)), bc) -> new_esEs2(xy3000, xy4000, cb) new_esEs(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy300, xy400, ba, bb) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, dd), de), df), da, db) -> new_esEs1(xy3000, xy4000, dd, de, df) new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_Either, bag), bah)), baa), bc) -> new_esEs3(xy3000, xy4000, bag, bah) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, bd), be)) -> new_esEs(xy3000, xy4000, bd, be) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_@2, cf), cg)), da), db), bc) -> new_esEs(xy3000, xy4000, cf, cg) new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_Maybe, bdb)) -> new_esEs2(xy301, xy401, bdb) new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_[], gh)), bc) -> new_esEs0(xy3000, xy4000, gh) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs1(xy3000, xy4000, bg, bh, ca) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(app(ty_Either, gd), ge)), bc) -> new_esEs3(xy3002, xy4002, gd, ge) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(app(ty_@3, dd), de), df)), da), db), bc) -> new_esEs1(xy3000, xy4000, dd, de, df) new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(app(ty_@2, bbb), bbc)), bc) -> new_esEs(xy3000, xy4000, bbb, bbc) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], bf)) -> new_esEs0(xy3000, xy4000, bf) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(app(ty_@2, fd), ff)) -> new_esEs(xy3002, xy4002, fd, ff) new_esEs3(Right(xy3000), Right(xy4000), bba, app(app(ty_Either, bca), bcb)) -> new_esEs3(xy3000, xy4000, bca, bcb) new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_[], bab)), baa), bc) -> new_esEs0(xy3000, xy4000, bab) new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_Either, he), hf)) -> new_esEs3(xy3000, xy4000, he, hf) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, dg), da, db) -> new_esEs2(xy3000, xy4000, dg) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_[], dc)), da), db), bc) -> new_esEs0(xy3000, xy4000, dc) new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_Either, he), hf)), bc) -> new_esEs3(xy3000, xy4000, he, hf) new_esEs3(Left(xy3000), Left(xy4000), app(ty_[], bab), baa) -> new_esEs0(xy3000, xy4000, bab) new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_@2, hg), hh), baa) -> new_esEs(xy3000, xy4000, hg, hh) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(app(ty_Either, fb), fc), db) -> new_esEs3(xy3001, xy4001, fb, fc) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(ty_[], fg)) -> new_esEs0(xy3002, xy4002, fg) new_esEs2(Just(xy3000), Just(xy4000), app(app(app(ty_@3, ha), hb), hc)) -> new_esEs1(xy3000, xy4000, ha, hb, hc) new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_[], bf)), bc) -> new_esEs0(xy3000, xy4000, bf) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(app(ty_@2, ec), ed)), db), bc) -> new_esEs(xy3001, xy4001, ec, ed) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_Either, dh), ea)), da), db), bc) -> new_esEs3(xy3000, xy4000, dh, ea) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], dc), da, db) -> new_esEs0(xy3000, xy4000, dc) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(ty_Maybe, gc)) -> new_esEs2(xy3002, xy4002, gc) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(app(app(ty_@3, fh), ga), gb)), bc) -> new_esEs1(xy3002, xy4002, fh, ga, gb) new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(ty_[], bbd)), bc) -> new_esEs0(xy3000, xy4000, bbd) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, cc), cd)) -> new_esEs3(xy3000, xy4000, cc, cd) new_esEs3(Right(xy3000), Right(xy4000), bba, app(ty_Maybe, bbh)) -> new_esEs2(xy3000, xy4000, bbh) new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_Either, bag), bah), baa) -> new_esEs3(xy3000, xy4000, bag, bah) new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(app(ty_Either, bca), bcb)), bc) -> new_esEs3(xy3000, xy4000, bca, bcb) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(app(app(ty_@3, ef), eg), eh)), db), bc) -> new_esEs1(xy3001, xy4001, ef, eg, eh) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(ty_[], ee)), db), bc) -> new_esEs0(xy3001, xy4001, ee) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(app(ty_@2, fd), ff)), bc) -> new_esEs(xy3002, xy4002, fd, ff) new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(app(ty_@3, bg), bh), ca)), bc) -> new_esEs1(xy3000, xy4000, bg, bh, ca) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(ty_[], fg)), bc) -> new_esEs0(xy3002, xy4002, fg) new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_Maybe, baf)), baa), bc) -> new_esEs2(xy3000, xy4000, baf) new_esEs3(Right(xy3000), Right(xy4000), bba, app(ty_[], bbd)) -> new_esEs0(xy3000, xy4000, bbd) new_esEs2(Just(xy3000), Just(xy4000), app(ty_[], gh)) -> new_esEs0(xy3000, xy4000, gh) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_Maybe, dg)), da), db), bc) -> new_esEs2(xy3000, xy4000, dg) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(app(ty_Either, fb), fc)), db), bc) -> new_esEs3(xy3001, xy4001, fb, fc) new_esEs2(Just(xy3000), Just(xy4000), app(ty_Maybe, hd)) -> new_esEs2(xy3000, xy4000, hd) new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], ce), bc) -> new_esEs0(xy3001, xy4001, ce) new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_@2, gf), gg)), bc) -> new_esEs(xy3000, xy4000, gf, gg) new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_@2, bd), be)), bc) -> new_esEs(xy3000, xy4000, bd, be) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(app(ty_@2, ec), ed), db) -> new_esEs(xy3001, xy4001, ec, ed) new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_@2, bcd), bce)) -> new_esEs(xy301, xy401, bcd, bce) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), ce) -> new_esEs0(xy3001, xy4001, ce) new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs1(xy301, xy401, bcg, bch, bda) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, dh), ea), da, db) -> new_esEs3(xy3000, xy4000, dh, ea) new_esEs3(Right(xy3000), Right(xy4000), bba, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs1(xy3000, xy4000, bbe, bbf, bbg) new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_Maybe, hd)), bc) -> new_esEs2(xy3000, xy4000, hd) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, cb)) -> new_esEs2(xy3000, xy4000, cb) new_esEs3(Left(xy3000), Left(xy4000), app(ty_Maybe, baf), baa) -> new_esEs2(xy3000, xy4000, baf) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(ty_[], ee), db) -> new_esEs0(xy3001, xy4001, ee) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs1(xy3002, xy4002, fh, ga, gb) new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_Either, bdc), bdd)) -> new_esEs3(xy301, xy401, bdc, bdd) new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(app(ty_@3, bac), bad), bae)), baa), bc) -> new_esEs1(xy3000, xy4000, bac, bad, bae) new_esEs3(Left(xy3000), Left(xy4000), app(app(app(ty_@3, bac), bad), bae), baa) -> new_esEs1(xy3000, xy4000, bac, bad, bae) new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(app(app(ty_@3, bbe), bbf), bbg)), bc) -> new_esEs1(xy3000, xy4000, bbe, bbf, bbg) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(app(ty_Either, gd), ge)) -> new_esEs3(xy3002, xy4002, gd, ge) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, cf), cg), da, db) -> new_esEs(xy3000, xy4000, cf, cg) new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(ty_Maybe, gc)), bc) -> new_esEs2(xy3002, xy4002, gc) new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(ty_Maybe, bbh)), bc) -> new_esEs2(xy3000, xy4000, bbh) new_esEs3(Right(xy3000), Right(xy4000), bba, app(app(ty_@2, bbb), bbc)) -> new_esEs(xy3000, xy4000, bbb, bbc) new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_Either, cc), cd)), bc) -> new_esEs3(xy3000, xy4000, cc, cd) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(app(app(ty_@3, ef), eg), eh), db) -> new_esEs1(xy3001, xy4001, ef, eg, eh) new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(app(ty_@3, ha), hb), hc)), bc) -> new_esEs1(xy3000, xy4000, ha, hb, hc) new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(ty_Maybe, fa), db) -> new_esEs2(xy3001, xy4001, fa) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, bd), be)) -> new_esEs(xy3000, xy4000, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_@2, gf), gg)) -> new_esEs(xy3000, xy4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, cb)) -> new_esEs2(xy3000, xy4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy3000), Just(xy4000), app(ty_Maybe, hd)) -> new_esEs2(xy3000, xy4000, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs1(xy3000, xy4000, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(xy3000), Just(xy4000), app(app(app(ty_@3, ha), hb), hc)) -> new_esEs1(xy3000, xy4000, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, cc), cd)) -> new_esEs3(xy3000, xy4000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xy3000), Just(xy4000), app(ty_[], gh)) -> new_esEs0(xy3000, xy4000, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_Either, he), hf)) -> new_esEs3(xy3000, xy4000, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], bf)) -> new_esEs0(xy3000, xy4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), ce) -> new_esEs0(xy3001, xy4001, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_@2, hg), hh)), baa), bc) -> new_esEs(xy3000, xy4000, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy300, xy400, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_@2, cf), cg)), da), db), bc) -> new_esEs(xy3000, xy4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(app(ty_@2, bbb), bbc)), bc) -> new_esEs(xy3000, xy4000, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(app(ty_@2, ec), ed)), db), bc) -> new_esEs(xy3001, xy4001, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(app(ty_@2, fd), ff)), bc) -> new_esEs(xy3002, xy4002, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_@2, gf), gg)), bc) -> new_esEs(xy3000, xy4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_@2, bd), be)), bc) -> new_esEs(xy3000, xy4000, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_@2, bcd), bce)) -> new_esEs(xy301, xy401, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(app(ty_@2, fd), ff)) -> new_esEs(xy3002, xy4002, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(app(ty_@2, ec), ed), db) -> new_esEs(xy3001, xy4001, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, cf), cg), da, db) -> new_esEs(xy3000, xy4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_@2, hg), hh), baa) -> new_esEs(xy3000, xy4000, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy3000), Right(xy4000), bba, app(app(ty_@2, bbb), bbc)) -> new_esEs(xy3000, xy4000, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(ty_Maybe, fa)), db), bc) -> new_esEs2(xy3001, xy4001, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_Maybe, cb)), bc) -> new_esEs2(xy3000, xy4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_Maybe, bdb)) -> new_esEs2(xy301, xy401, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_Maybe, baf)), baa), bc) -> new_esEs2(xy3000, xy4000, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_Maybe, dg)), da), db), bc) -> new_esEs2(xy3000, xy4000, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_Maybe, hd)), bc) -> new_esEs2(xy3000, xy4000, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(ty_Maybe, gc)), bc) -> new_esEs2(xy3002, xy4002, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(ty_Maybe, bbh)), bc) -> new_esEs2(xy3000, xy4000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(app(ty_@3, dd), de), df)), da), db), bc) -> new_esEs1(xy3000, xy4000, dd, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(app(app(ty_@3, fh), ga), gb)), bc) -> new_esEs1(xy3002, xy4002, fh, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(app(app(ty_@3, ef), eg), eh)), db), bc) -> new_esEs1(xy3001, xy4001, ef, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(app(ty_@3, bg), bh), ca)), bc) -> new_esEs1(xy3000, xy4000, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs1(xy301, xy401, bcg, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(app(ty_@3, bac), bad), bae)), baa), bc) -> new_esEs1(xy3000, xy4000, bac, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(app(app(ty_@3, bbe), bbf), bbg)), bc) -> new_esEs1(xy3000, xy4000, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(app(ty_@3, ha), hb), hc)), bc) -> new_esEs1(xy3000, xy4000, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_[], bcf)) -> new_esEs0(xy301, xy401, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_[], gh)), bc) -> new_esEs0(xy3000, xy4000, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_[], bab)), baa), bc) -> new_esEs0(xy3000, xy4000, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_[], dc)), da), db), bc) -> new_esEs0(xy3000, xy4000, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_[], bf)), bc) -> new_esEs0(xy3000, xy4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(ty_[], bbd)), bc) -> new_esEs0(xy3000, xy4000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(ty_[], ee)), db), bc) -> new_esEs0(xy3001, xy4001, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(ty_[], fg)), bc) -> new_esEs0(xy3002, xy4002, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], ce), bc) -> new_esEs0(xy3001, xy4001, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_Either, bag), bah)), baa), bc) -> new_esEs3(xy3000, xy4000, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), da), app(app(ty_Either, gd), ge)), bc) -> new_esEs3(xy3002, xy4002, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_Either, he), hf)), bc) -> new_esEs3(xy3000, xy4000, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_Either, dh), ea)), da), db), bc) -> new_esEs3(xy3000, xy4000, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, bba), app(app(ty_Either, bca), bcb)), bc) -> new_esEs3(xy3000, xy4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, eb), app(app(ty_Either, fb), fc)), db), bc) -> new_esEs3(xy3001, xy4001, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_Either, bdc), bdd)) -> new_esEs3(xy301, xy401, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_Either, cc), cd)), bc) -> new_esEs3(xy3000, xy4000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, dg), da, db) -> new_esEs2(xy3000, xy4000, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(ty_Maybe, gc)) -> new_esEs2(xy3002, xy4002, gc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(ty_Maybe, fa), db) -> new_esEs2(xy3001, xy4001, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Right(xy3000), Right(xy4000), bba, app(ty_Maybe, bbh)) -> new_esEs2(xy3000, xy4000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy3000), Left(xy4000), app(ty_Maybe, baf), baa) -> new_esEs2(xy3000, xy4000, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, dd), de), df), da, db) -> new_esEs1(xy3000, xy4000, dd, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs1(xy3002, xy4002, fh, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(app(app(ty_@3, ef), eg), eh), db) -> new_esEs1(xy3001, xy4001, ef, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(ty_[], fg)) -> new_esEs0(xy3002, xy4002, fg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], dc), da, db) -> new_esEs0(xy3000, xy4000, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(ty_[], ee), db) -> new_esEs0(xy3001, xy4001, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, app(app(ty_Either, fb), fc), db) -> new_esEs3(xy3001, xy4001, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, dh), ea), da, db) -> new_esEs3(xy3000, xy4000, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), eb, da, app(app(ty_Either, gd), ge)) -> new_esEs3(xy3002, xy4002, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs3(Right(xy3000), Right(xy4000), bba, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs1(xy3000, xy4000, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(Left(xy3000), Left(xy4000), app(app(app(ty_@3, bac), bad), bae), baa) -> new_esEs1(xy3000, xy4000, bac, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Left(xy3000), Left(xy4000), app(ty_[], bab), baa) -> new_esEs0(xy3000, xy4000, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy3000), Right(xy4000), bba, app(ty_[], bbd)) -> new_esEs0(xy3000, xy4000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Right(xy3000), Right(xy4000), bba, app(app(ty_Either, bca), bcb)) -> new_esEs3(xy3000, xy4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_Either, bag), bah), baa) -> new_esEs3(xy3000, xy4000, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba, bb) -> new_isPrefixOf(xy31, xy41, ba, bb) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) 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_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba, bb) -> new_isPrefixOf(xy31, xy41, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy300000), Succ(xy400100)) -> new_primMulNat(xy300000, Succ(xy400100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) 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(xy300000), Succ(xy400100)) -> new_primMulNat(xy300000, Succ(xy400100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy2000), Succ(xy4001000)) -> new_primPlusNat(xy2000, xy4001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) 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(xy2000), Succ(xy4001000)) -> new_primPlusNat(xy2000, xy4001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) 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(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES