/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 15 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 39 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"];716[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];4 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 5[label="",style="solid", color="burlywood", weight=3]; 717[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="List.isPrefixOf (xy30 : xy31) xy4",fontsize=16,color="burlywood",shape="box"];718[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 7[label="",style="solid", color="burlywood", weight=3]; 719[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 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 -> 107[label="",style="dashed", color="red", weight=0]; 10[label="xy30 == xy40 && List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];10 -> 108[label="",style="dashed", color="magenta", weight=3]; 10 -> 109[label="",style="dashed", color="magenta", weight=3]; 11[label="False",fontsize=16,color="green",shape="box"];108[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];720[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];108 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 126[label="",style="solid", color="burlywood", weight=3]; 721[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];108 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 127[label="",style="solid", color="burlywood", weight=3]; 109 -> 4[label="",style="dashed", color="red", weight=0]; 109[label="List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];109 -> 128[label="",style="dashed", color="magenta", weight=3]; 109 -> 129[label="",style="dashed", color="magenta", weight=3]; 107[label="xy18 && xy19",fontsize=16,color="burlywood",shape="triangle"];722[label="xy18/False",fontsize=10,color="white",style="solid",shape="box"];107 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 130[label="",style="solid", color="burlywood", weight=3]; 723[label="xy18/True",fontsize=10,color="white",style="solid",shape="box"];107 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 131[label="",style="solid", color="burlywood", weight=3]; 126[label="xy300 : xy301 == xy40",fontsize=16,color="burlywood",shape="box"];724[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];126 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 132[label="",style="solid", color="burlywood", weight=3]; 725[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];126 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 133[label="",style="solid", color="burlywood", weight=3]; 127[label="[] == xy40",fontsize=16,color="burlywood",shape="box"];726[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];127 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 134[label="",style="solid", color="burlywood", weight=3]; 727[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];127 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 135[label="",style="solid", color="burlywood", weight=3]; 128[label="xy41",fontsize=16,color="green",shape="box"];129[label="xy31",fontsize=16,color="green",shape="box"];130[label="False && xy19",fontsize=16,color="black",shape="box"];130 -> 136[label="",style="solid", color="black", weight=3]; 131[label="True && xy19",fontsize=16,color="black",shape="box"];131 -> 137[label="",style="solid", color="black", weight=3]; 132[label="xy300 : xy301 == xy400 : xy401",fontsize=16,color="black",shape="box"];132 -> 138[label="",style="solid", color="black", weight=3]; 133[label="xy300 : xy301 == []",fontsize=16,color="black",shape="box"];133 -> 139[label="",style="solid", color="black", weight=3]; 134[label="[] == xy400 : xy401",fontsize=16,color="black",shape="box"];134 -> 140[label="",style="solid", color="black", weight=3]; 135[label="[] == []",fontsize=16,color="black",shape="box"];135 -> 141[label="",style="solid", color="black", weight=3]; 136[label="False",fontsize=16,color="green",shape="box"];137[label="xy19",fontsize=16,color="green",shape="box"];138 -> 107[label="",style="dashed", color="red", weight=0]; 138[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];138 -> 142[label="",style="dashed", color="magenta", weight=3]; 138 -> 143[label="",style="dashed", color="magenta", weight=3]; 139[label="False",fontsize=16,color="green",shape="box"];140[label="False",fontsize=16,color="green",shape="box"];141[label="True",fontsize=16,color="green",shape="box"];142[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];728[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 728[label="",style="solid", color="blue", weight=9]; 728 -> 144[label="",style="solid", color="blue", weight=3]; 729[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 145[label="",style="solid", color="blue", weight=3]; 730[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 146[label="",style="solid", color="blue", weight=3]; 731[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 147[label="",style="solid", color="blue", weight=3]; 732[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 148[label="",style="solid", color="blue", weight=3]; 733[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 149[label="",style="solid", color="blue", weight=3]; 734[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 150[label="",style="solid", color="blue", weight=3]; 735[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 151[label="",style="solid", color="blue", weight=3]; 736[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 152[label="",style="solid", color="blue", weight=3]; 737[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 153[label="",style="solid", color="blue", weight=3]; 738[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 154[label="",style="solid", color="blue", weight=3]; 739[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 155[label="",style="solid", color="blue", weight=3]; 740[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 156[label="",style="solid", color="blue", weight=3]; 741[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 157[label="",style="solid", color="blue", weight=3]; 143 -> 108[label="",style="dashed", color="red", weight=0]; 143[label="xy301 == xy401",fontsize=16,color="magenta"];143 -> 158[label="",style="dashed", color="magenta", weight=3]; 143 -> 159[label="",style="dashed", color="magenta", weight=3]; 144[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];144 -> 160[label="",style="solid", color="black", weight=3]; 145[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];742[label="xy300/(xy3000,xy3001)",fontsize=10,color="white",style="solid",shape="box"];145 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 161[label="",style="solid", color="burlywood", weight=3]; 146[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];743[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];146 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 162[label="",style="solid", color="burlywood", weight=3]; 147[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];744[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];147 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 163[label="",style="solid", color="burlywood", weight=3]; 148[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];148 -> 164[label="",style="solid", color="black", weight=3]; 149[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];149 -> 165[label="",style="solid", color="black", weight=3]; 150[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];745[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];150 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 166[label="",style="solid", color="burlywood", weight=3]; 151[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];746[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];151 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 167[label="",style="solid", color="burlywood", weight=3]; 747[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];151 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 168[label="",style="solid", color="burlywood", weight=3]; 152[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];152 -> 169[label="",style="solid", color="black", weight=3]; 153[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];748[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];153 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 170[label="",style="solid", color="burlywood", weight=3]; 749[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];153 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 171[label="",style="solid", color="burlywood", weight=3]; 750[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];153 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 172[label="",style="solid", color="burlywood", weight=3]; 154[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];751[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];154 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 173[label="",style="solid", color="burlywood", weight=3]; 752[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];154 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 174[label="",style="solid", color="burlywood", weight=3]; 155[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];753[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];155 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 175[label="",style="solid", color="burlywood", weight=3]; 754[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];155 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 176[label="",style="solid", color="burlywood", weight=3]; 156 -> 108[label="",style="dashed", color="red", weight=0]; 156[label="xy300 == xy400",fontsize=16,color="magenta"];156 -> 177[label="",style="dashed", color="magenta", weight=3]; 156 -> 178[label="",style="dashed", color="magenta", weight=3]; 157[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];755[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];157 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 179[label="",style="solid", color="burlywood", weight=3]; 158[label="xy401",fontsize=16,color="green",shape="box"];159[label="xy301",fontsize=16,color="green",shape="box"];160[label="primEqInt xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];756[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];160 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 180[label="",style="solid", color="burlywood", weight=3]; 757[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];160 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 181[label="",style="solid", color="burlywood", weight=3]; 161[label="(xy3000,xy3001) == xy400",fontsize=16,color="burlywood",shape="box"];758[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];161 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 182[label="",style="solid", color="burlywood", weight=3]; 162[label="(xy3000,xy3001,xy3002) == xy400",fontsize=16,color="burlywood",shape="box"];759[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];162 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 183[label="",style="solid", color="burlywood", weight=3]; 163[label="xy3000 :% xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];760[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];163 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 184[label="",style="solid", color="burlywood", weight=3]; 164[label="primEqFloat xy300 xy400",fontsize=16,color="burlywood",shape="box"];761[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];164 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 185[label="",style="solid", color="burlywood", weight=3]; 165[label="primEqChar xy300 xy400",fontsize=16,color="burlywood",shape="box"];762[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];165 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 186[label="",style="solid", color="burlywood", weight=3]; 166[label="() == xy400",fontsize=16,color="burlywood",shape="box"];763[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];166 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 187[label="",style="solid", color="burlywood", weight=3]; 167[label="Left xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];764[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];167 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 188[label="",style="solid", color="burlywood", weight=3]; 765[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];167 -> 765[label="",style="solid", color="burlywood", weight=9]; 765 -> 189[label="",style="solid", color="burlywood", weight=3]; 168[label="Right xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];766[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 766[label="",style="solid", color="burlywood", weight=9]; 766 -> 190[label="",style="solid", color="burlywood", weight=3]; 767[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 767[label="",style="solid", color="burlywood", weight=9]; 767 -> 191[label="",style="solid", color="burlywood", weight=3]; 169[label="primEqDouble xy300 xy400",fontsize=16,color="burlywood",shape="box"];768[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];169 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 192[label="",style="solid", color="burlywood", weight=3]; 170[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];769[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];170 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 193[label="",style="solid", color="burlywood", weight=3]; 770[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];170 -> 770[label="",style="solid", color="burlywood", weight=9]; 770 -> 194[label="",style="solid", color="burlywood", weight=3]; 771[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];170 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 195[label="",style="solid", color="burlywood", weight=3]; 171[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];772[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];171 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 196[label="",style="solid", color="burlywood", weight=3]; 773[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];171 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 197[label="",style="solid", color="burlywood", weight=3]; 774[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];171 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 198[label="",style="solid", color="burlywood", weight=3]; 172[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];775[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];172 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 199[label="",style="solid", color="burlywood", weight=3]; 776[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];172 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 200[label="",style="solid", color="burlywood", weight=3]; 777[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];172 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 201[label="",style="solid", color="burlywood", weight=3]; 173[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];778[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];173 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 202[label="",style="solid", color="burlywood", weight=3]; 779[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];173 -> 779[label="",style="solid", color="burlywood", weight=9]; 779 -> 203[label="",style="solid", color="burlywood", weight=3]; 174[label="Just xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];780[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];174 -> 780[label="",style="solid", color="burlywood", weight=9]; 780 -> 204[label="",style="solid", color="burlywood", weight=3]; 781[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];174 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 205[label="",style="solid", color="burlywood", weight=3]; 175[label="False == xy400",fontsize=16,color="burlywood",shape="box"];782[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];175 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 206[label="",style="solid", color="burlywood", weight=3]; 783[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];175 -> 783[label="",style="solid", color="burlywood", weight=9]; 783 -> 207[label="",style="solid", color="burlywood", weight=3]; 176[label="True == xy400",fontsize=16,color="burlywood",shape="box"];784[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];176 -> 784[label="",style="solid", color="burlywood", weight=9]; 784 -> 208[label="",style="solid", color="burlywood", weight=3]; 785[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];176 -> 785[label="",style="solid", color="burlywood", weight=9]; 785 -> 209[label="",style="solid", color="burlywood", weight=3]; 177[label="xy400",fontsize=16,color="green",shape="box"];178[label="xy300",fontsize=16,color="green",shape="box"];179[label="Integer xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];786[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];179 -> 786[label="",style="solid", color="burlywood", weight=9]; 786 -> 210[label="",style="solid", color="burlywood", weight=3]; 180[label="primEqInt (Pos xy3000) xy400",fontsize=16,color="burlywood",shape="box"];787[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];180 -> 787[label="",style="solid", color="burlywood", weight=9]; 787 -> 211[label="",style="solid", color="burlywood", weight=3]; 788[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];180 -> 788[label="",style="solid", color="burlywood", weight=9]; 788 -> 212[label="",style="solid", color="burlywood", weight=3]; 181[label="primEqInt (Neg xy3000) xy400",fontsize=16,color="burlywood",shape="box"];789[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];181 -> 789[label="",style="solid", color="burlywood", weight=9]; 789 -> 213[label="",style="solid", color="burlywood", weight=3]; 790[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];181 -> 790[label="",style="solid", color="burlywood", weight=9]; 790 -> 214[label="",style="solid", color="burlywood", weight=3]; 182[label="(xy3000,xy3001) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];182 -> 215[label="",style="solid", color="black", weight=3]; 183[label="(xy3000,xy3001,xy3002) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];183 -> 216[label="",style="solid", color="black", weight=3]; 184[label="xy3000 :% xy3001 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];184 -> 217[label="",style="solid", color="black", weight=3]; 185[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"];185 -> 791[label="",style="solid", color="burlywood", weight=9]; 791 -> 218[label="",style="solid", color="burlywood", weight=3]; 186[label="primEqChar (Char xy3000) xy400",fontsize=16,color="burlywood",shape="box"];792[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];186 -> 792[label="",style="solid", color="burlywood", weight=9]; 792 -> 219[label="",style="solid", color="burlywood", weight=3]; 187[label="() == ()",fontsize=16,color="black",shape="box"];187 -> 220[label="",style="solid", color="black", weight=3]; 188[label="Left xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];188 -> 221[label="",style="solid", color="black", weight=3]; 189[label="Left xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];189 -> 222[label="",style="solid", color="black", weight=3]; 190[label="Right xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];190 -> 223[label="",style="solid", color="black", weight=3]; 191[label="Right xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];191 -> 224[label="",style="solid", color="black", weight=3]; 192[label="primEqDouble (Double xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];793[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];192 -> 793[label="",style="solid", color="burlywood", weight=9]; 793 -> 225[label="",style="solid", color="burlywood", weight=3]; 193[label="LT == LT",fontsize=16,color="black",shape="box"];193 -> 226[label="",style="solid", color="black", weight=3]; 194[label="LT == EQ",fontsize=16,color="black",shape="box"];194 -> 227[label="",style="solid", color="black", weight=3]; 195[label="LT == GT",fontsize=16,color="black",shape="box"];195 -> 228[label="",style="solid", color="black", weight=3]; 196[label="EQ == LT",fontsize=16,color="black",shape="box"];196 -> 229[label="",style="solid", color="black", weight=3]; 197[label="EQ == EQ",fontsize=16,color="black",shape="box"];197 -> 230[label="",style="solid", color="black", weight=3]; 198[label="EQ == GT",fontsize=16,color="black",shape="box"];198 -> 231[label="",style="solid", color="black", weight=3]; 199[label="GT == LT",fontsize=16,color="black",shape="box"];199 -> 232[label="",style="solid", color="black", weight=3]; 200[label="GT == EQ",fontsize=16,color="black",shape="box"];200 -> 233[label="",style="solid", color="black", weight=3]; 201[label="GT == GT",fontsize=16,color="black",shape="box"];201 -> 234[label="",style="solid", color="black", weight=3]; 202[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];202 -> 235[label="",style="solid", color="black", weight=3]; 203[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];203 -> 236[label="",style="solid", color="black", weight=3]; 204[label="Just xy3000 == Nothing",fontsize=16,color="black",shape="box"];204 -> 237[label="",style="solid", color="black", weight=3]; 205[label="Just xy3000 == Just xy4000",fontsize=16,color="black",shape="box"];205 -> 238[label="",style="solid", color="black", weight=3]; 206[label="False == False",fontsize=16,color="black",shape="box"];206 -> 239[label="",style="solid", color="black", weight=3]; 207[label="False == True",fontsize=16,color="black",shape="box"];207 -> 240[label="",style="solid", color="black", weight=3]; 208[label="True == False",fontsize=16,color="black",shape="box"];208 -> 241[label="",style="solid", color="black", weight=3]; 209[label="True == True",fontsize=16,color="black",shape="box"];209 -> 242[label="",style="solid", color="black", weight=3]; 210[label="Integer xy3000 == Integer xy4000",fontsize=16,color="black",shape="box"];210 -> 243[label="",style="solid", color="black", weight=3]; 211[label="primEqInt (Pos (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];794[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];211 -> 794[label="",style="solid", color="burlywood", weight=9]; 794 -> 244[label="",style="solid", color="burlywood", weight=3]; 795[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];211 -> 795[label="",style="solid", color="burlywood", weight=9]; 795 -> 245[label="",style="solid", color="burlywood", weight=3]; 212[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];796[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];212 -> 796[label="",style="solid", color="burlywood", weight=9]; 796 -> 246[label="",style="solid", color="burlywood", weight=3]; 797[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];212 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 247[label="",style="solid", color="burlywood", weight=3]; 213[label="primEqInt (Neg (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];798[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];213 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 248[label="",style="solid", color="burlywood", weight=3]; 799[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];213 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 249[label="",style="solid", color="burlywood", weight=3]; 214[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];800[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];214 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 250[label="",style="solid", color="burlywood", weight=3]; 801[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];214 -> 801[label="",style="solid", color="burlywood", weight=9]; 801 -> 251[label="",style="solid", color="burlywood", weight=3]; 215 -> 107[label="",style="dashed", color="red", weight=0]; 215[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];215 -> 252[label="",style="dashed", color="magenta", weight=3]; 215 -> 253[label="",style="dashed", color="magenta", weight=3]; 216 -> 107[label="",style="dashed", color="red", weight=0]; 216[label="xy3000 == xy4000 && xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];216 -> 254[label="",style="dashed", color="magenta", weight=3]; 216 -> 255[label="",style="dashed", color="magenta", weight=3]; 217 -> 107[label="",style="dashed", color="red", weight=0]; 217[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];217 -> 256[label="",style="dashed", color="magenta", weight=3]; 217 -> 257[label="",style="dashed", color="magenta", weight=3]; 218[label="primEqFloat (Float xy3000 xy3001) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];218 -> 258[label="",style="solid", color="black", weight=3]; 219[label="primEqChar (Char xy3000) (Char xy4000)",fontsize=16,color="black",shape="box"];219 -> 259[label="",style="solid", color="black", weight=3]; 220[label="True",fontsize=16,color="green",shape="box"];221[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];802[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 260[label="",style="solid", color="blue", weight=3]; 803[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 261[label="",style="solid", color="blue", weight=3]; 804[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 262[label="",style="solid", color="blue", weight=3]; 805[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 263[label="",style="solid", color="blue", weight=3]; 806[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 264[label="",style="solid", color="blue", weight=3]; 807[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 265[label="",style="solid", color="blue", weight=3]; 808[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 266[label="",style="solid", color="blue", weight=3]; 809[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 267[label="",style="solid", color="blue", weight=3]; 810[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 268[label="",style="solid", color="blue", weight=3]; 811[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 269[label="",style="solid", color="blue", weight=3]; 812[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 270[label="",style="solid", color="blue", weight=3]; 813[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 271[label="",style="solid", color="blue", weight=3]; 814[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 272[label="",style="solid", color="blue", weight=3]; 815[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 273[label="",style="solid", color="blue", weight=3]; 222[label="False",fontsize=16,color="green",shape="box"];223[label="False",fontsize=16,color="green",shape="box"];224[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];816[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 274[label="",style="solid", color="blue", weight=3]; 817[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 275[label="",style="solid", color="blue", weight=3]; 818[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 276[label="",style="solid", color="blue", weight=3]; 819[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 277[label="",style="solid", color="blue", weight=3]; 820[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 278[label="",style="solid", color="blue", weight=3]; 821[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 279[label="",style="solid", color="blue", weight=3]; 822[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 280[label="",style="solid", color="blue", weight=3]; 823[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 281[label="",style="solid", color="blue", weight=3]; 824[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 282[label="",style="solid", color="blue", weight=3]; 825[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 283[label="",style="solid", color="blue", weight=3]; 826[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 284[label="",style="solid", color="blue", weight=3]; 827[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 285[label="",style="solid", color="blue", weight=3]; 828[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 286[label="",style="solid", color="blue", weight=3]; 829[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 287[label="",style="solid", color="blue", weight=3]; 225[label="primEqDouble (Double xy3000 xy3001) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];225 -> 288[label="",style="solid", color="black", weight=3]; 226[label="True",fontsize=16,color="green",shape="box"];227[label="False",fontsize=16,color="green",shape="box"];228[label="False",fontsize=16,color="green",shape="box"];229[label="False",fontsize=16,color="green",shape="box"];230[label="True",fontsize=16,color="green",shape="box"];231[label="False",fontsize=16,color="green",shape="box"];232[label="False",fontsize=16,color="green",shape="box"];233[label="False",fontsize=16,color="green",shape="box"];234[label="True",fontsize=16,color="green",shape="box"];235[label="True",fontsize=16,color="green",shape="box"];236[label="False",fontsize=16,color="green",shape="box"];237[label="False",fontsize=16,color="green",shape="box"];238[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];830[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 289[label="",style="solid", color="blue", weight=3]; 831[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 290[label="",style="solid", color="blue", weight=3]; 832[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 291[label="",style="solid", color="blue", weight=3]; 833[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 292[label="",style="solid", color="blue", weight=3]; 834[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 293[label="",style="solid", color="blue", weight=3]; 835[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 294[label="",style="solid", color="blue", weight=3]; 836[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 295[label="",style="solid", color="blue", weight=3]; 837[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 296[label="",style="solid", color="blue", weight=3]; 838[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 297[label="",style="solid", color="blue", weight=3]; 839[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 298[label="",style="solid", color="blue", weight=3]; 840[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 299[label="",style="solid", color="blue", weight=3]; 841[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 300[label="",style="solid", color="blue", weight=3]; 842[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 301[label="",style="solid", color="blue", weight=3]; 843[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 302[label="",style="solid", color="blue", weight=3]; 239[label="True",fontsize=16,color="green",shape="box"];240[label="False",fontsize=16,color="green",shape="box"];241[label="False",fontsize=16,color="green",shape="box"];242[label="True",fontsize=16,color="green",shape="box"];243 -> 160[label="",style="dashed", color="red", weight=0]; 243[label="primEqInt xy3000 xy4000",fontsize=16,color="magenta"];243 -> 303[label="",style="dashed", color="magenta", weight=3]; 243 -> 304[label="",style="dashed", color="magenta", weight=3]; 244[label="primEqInt (Pos (Succ xy30000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];844[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];244 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 305[label="",style="solid", color="burlywood", weight=3]; 845[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];244 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 306[label="",style="solid", color="burlywood", weight=3]; 245[label="primEqInt (Pos (Succ xy30000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];245 -> 307[label="",style="solid", color="black", weight=3]; 246[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];846[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];246 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 308[label="",style="solid", color="burlywood", weight=3]; 847[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];246 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 309[label="",style="solid", color="burlywood", weight=3]; 247[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];848[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];247 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 310[label="",style="solid", 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327[label="",style="solid", color="blue", weight=3]; 865[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];252 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 328[label="",style="solid", color="blue", weight=3]; 866[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];252 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 329[label="",style="solid", color="blue", weight=3]; 867[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];252 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 330[label="",style="solid", color="blue", weight=3]; 868[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];252 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 331[label="",style="solid", color="blue", weight=3]; 869[label="== :: Integer -> Integer -> 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340[label="",style="solid", color="blue", weight=3]; 878[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 341[label="",style="solid", color="blue", weight=3]; 879[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 342[label="",style="solid", color="blue", weight=3]; 880[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 343[label="",style="solid", color="blue", weight=3]; 881[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 344[label="",style="solid", color="blue", weight=3]; 882[label="== :: ([] a) -> ([] a) -> 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xy4000",fontsize=16,color="magenta"];285 -> 421[label="",style="dashed", color="magenta", weight=3]; 285 -> 422[label="",style="dashed", color="magenta", weight=3]; 286 -> 108[label="",style="dashed", color="red", weight=0]; 286[label="xy3000 == xy4000",fontsize=16,color="magenta"];286 -> 423[label="",style="dashed", color="magenta", weight=3]; 286 -> 424[label="",style="dashed", color="magenta", weight=3]; 287 -> 157[label="",style="dashed", color="red", weight=0]; 287[label="xy3000 == xy4000",fontsize=16,color="magenta"];287 -> 425[label="",style="dashed", color="magenta", weight=3]; 287 -> 426[label="",style="dashed", color="magenta", weight=3]; 288 -> 144[label="",style="dashed", color="red", weight=0]; 288[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];288 -> 427[label="",style="dashed", color="magenta", weight=3]; 288 -> 428[label="",style="dashed", color="magenta", weight=3]; 289 -> 144[label="",style="dashed", color="red", weight=0]; 289[label="xy3000 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xy4000",fontsize=16,color="magenta"];293 -> 437[label="",style="dashed", color="magenta", weight=3]; 293 -> 438[label="",style="dashed", color="magenta", weight=3]; 294 -> 149[label="",style="dashed", color="red", weight=0]; 294[label="xy3000 == xy4000",fontsize=16,color="magenta"];294 -> 439[label="",style="dashed", color="magenta", weight=3]; 294 -> 440[label="",style="dashed", color="magenta", weight=3]; 295 -> 150[label="",style="dashed", color="red", weight=0]; 295[label="xy3000 == xy4000",fontsize=16,color="magenta"];295 -> 441[label="",style="dashed", color="magenta", weight=3]; 295 -> 442[label="",style="dashed", color="magenta", weight=3]; 296 -> 151[label="",style="dashed", color="red", weight=0]; 296[label="xy3000 == xy4000",fontsize=16,color="magenta"];296 -> 443[label="",style="dashed", color="magenta", weight=3]; 296 -> 444[label="",style="dashed", color="magenta", weight=3]; 297 -> 152[label="",style="dashed", color="red", weight=0]; 297[label="xy3000 == xy4000",fontsize=16,color="magenta"];297 -> 445[label="",style="dashed", color="magenta", weight=3]; 297 -> 446[label="",style="dashed", color="magenta", weight=3]; 298 -> 153[label="",style="dashed", color="red", weight=0]; 298[label="xy3000 == xy4000",fontsize=16,color="magenta"];298 -> 447[label="",style="dashed", color="magenta", weight=3]; 298 -> 448[label="",style="dashed", color="magenta", weight=3]; 299 -> 154[label="",style="dashed", color="red", weight=0]; 299[label="xy3000 == xy4000",fontsize=16,color="magenta"];299 -> 449[label="",style="dashed", color="magenta", weight=3]; 299 -> 450[label="",style="dashed", color="magenta", weight=3]; 300 -> 155[label="",style="dashed", color="red", weight=0]; 300[label="xy3000 == xy4000",fontsize=16,color="magenta"];300 -> 451[label="",style="dashed", color="magenta", weight=3]; 300 -> 452[label="",style="dashed", color="magenta", weight=3]; 301 -> 108[label="",style="dashed", color="red", weight=0]; 301[label="xy3000 == xy4000",fontsize=16,color="magenta"];301 -> 453[label="",style="dashed", color="magenta", weight=3]; 301 -> 454[label="",style="dashed", color="magenta", weight=3]; 302 -> 157[label="",style="dashed", color="red", weight=0]; 302[label="xy3000 == xy4000",fontsize=16,color="magenta"];302 -> 455[label="",style="dashed", color="magenta", weight=3]; 302 -> 456[label="",style="dashed", color="magenta", weight=3]; 303[label="xy3000",fontsize=16,color="green",shape="box"];304[label="xy4000",fontsize=16,color="green",shape="box"];305[label="primEqInt (Pos (Succ xy30000)) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];305 -> 457[label="",style="solid", color="black", weight=3]; 306[label="primEqInt (Pos (Succ xy30000)) (Pos Zero)",fontsize=16,color="black",shape="box"];306 -> 458[label="",style="solid", color="black", weight=3]; 307[label="False",fontsize=16,color="green",shape="box"];308[label="primEqInt (Pos Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];308 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465[label="",style="solid", color="black", weight=3]; 316[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];316 -> 466[label="",style="solid", color="black", weight=3]; 317[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];317 -> 467[label="",style="solid", color="black", weight=3]; 318[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];318 -> 468[label="",style="solid", color="black", weight=3]; 319 -> 144[label="",style="dashed", color="red", weight=0]; 319[label="xy3000 == xy4000",fontsize=16,color="magenta"];319 -> 469[label="",style="dashed", color="magenta", weight=3]; 319 -> 470[label="",style="dashed", color="magenta", weight=3]; 320 -> 145[label="",style="dashed", color="red", weight=0]; 320[label="xy3000 == xy4000",fontsize=16,color="magenta"];320 -> 471[label="",style="dashed", color="magenta", weight=3]; 320 -> 472[label="",style="dashed", color="magenta", weight=3]; 321 -> 146[label="",style="dashed", color="red", weight=0]; 321[label="xy3000 == xy4000",fontsize=16,color="magenta"];321 -> 473[label="",style="dashed", color="magenta", weight=3]; 321 -> 474[label="",style="dashed", color="magenta", weight=3]; 322 -> 147[label="",style="dashed", color="red", weight=0]; 322[label="xy3000 == xy4000",fontsize=16,color="magenta"];322 -> 475[label="",style="dashed", color="magenta", weight=3]; 322 -> 476[label="",style="dashed", color="magenta", weight=3]; 323 -> 148[label="",style="dashed", color="red", weight=0]; 323[label="xy3000 == xy4000",fontsize=16,color="magenta"];323 -> 477[label="",style="dashed", color="magenta", weight=3]; 323 -> 478[label="",style="dashed", color="magenta", weight=3]; 324 -> 149[label="",style="dashed", color="red", weight=0]; 324[label="xy3000 == xy4000",fontsize=16,color="magenta"];324 -> 479[label="",style="dashed", color="magenta", weight=3]; 324 -> 480[label="",style="dashed", color="magenta", weight=3]; 325 -> 150[label="",style="dashed", color="red", weight=0]; 325[label="xy3000 == xy4000",fontsize=16,color="magenta"];325 -> 481[label="",style="dashed", color="magenta", weight=3]; 325 -> 482[label="",style="dashed", color="magenta", weight=3]; 326 -> 151[label="",style="dashed", color="red", weight=0]; 326[label="xy3000 == xy4000",fontsize=16,color="magenta"];326 -> 483[label="",style="dashed", color="magenta", weight=3]; 326 -> 484[label="",style="dashed", color="magenta", weight=3]; 327 -> 152[label="",style="dashed", color="red", weight=0]; 327[label="xy3000 == xy4000",fontsize=16,color="magenta"];327 -> 485[label="",style="dashed", color="magenta", weight=3]; 327 -> 486[label="",style="dashed", color="magenta", weight=3]; 328 -> 153[label="",style="dashed", color="red", weight=0]; 328[label="xy3000 == xy4000",fontsize=16,color="magenta"];328 -> 487[label="",style="dashed", color="magenta", weight=3]; 328 -> 488[label="",style="dashed", color="magenta", weight=3]; 329 -> 154[label="",style="dashed", color="red", weight=0]; 329[label="xy3000 == xy4000",fontsize=16,color="magenta"];329 -> 489[label="",style="dashed", color="magenta", weight=3]; 329 -> 490[label="",style="dashed", color="magenta", weight=3]; 330 -> 155[label="",style="dashed", color="red", weight=0]; 330[label="xy3000 == xy4000",fontsize=16,color="magenta"];330 -> 491[label="",style="dashed", color="magenta", weight=3]; 330 -> 492[label="",style="dashed", color="magenta", weight=3]; 331 -> 108[label="",style="dashed", color="red", weight=0]; 331[label="xy3000 == xy4000",fontsize=16,color="magenta"];331 -> 493[label="",style="dashed", color="magenta", weight=3]; 331 -> 494[label="",style="dashed", color="magenta", weight=3]; 332 -> 157[label="",style="dashed", color="red", weight=0]; 332[label="xy3000 == xy4000",fontsize=16,color="magenta"];332 -> 495[label="",style="dashed", color="magenta", weight=3]; 332 -> 496[label="",style="dashed", color="magenta", weight=3]; 333 -> 144[label="",style="dashed", color="red", weight=0]; 333[label="xy3001 == xy4001",fontsize=16,color="magenta"];333 -> 497[label="",style="dashed", color="magenta", weight=3]; 333 -> 498[label="",style="dashed", color="magenta", weight=3]; 334 -> 145[label="",style="dashed", color="red", weight=0]; 334[label="xy3001 == xy4001",fontsize=16,color="magenta"];334 -> 499[label="",style="dashed", color="magenta", weight=3]; 334 -> 500[label="",style="dashed", color="magenta", weight=3]; 335 -> 146[label="",style="dashed", color="red", weight=0]; 335[label="xy3001 == xy4001",fontsize=16,color="magenta"];335 -> 501[label="",style="dashed", color="magenta", weight=3]; 335 -> 502[label="",style="dashed", color="magenta", weight=3]; 336 -> 147[label="",style="dashed", color="red", weight=0]; 336[label="xy3001 == xy4001",fontsize=16,color="magenta"];336 -> 503[label="",style="dashed", color="magenta", weight=3]; 336 -> 504[label="",style="dashed", color="magenta", weight=3]; 337 -> 148[label="",style="dashed", color="red", weight=0]; 337[label="xy3001 == xy4001",fontsize=16,color="magenta"];337 -> 505[label="",style="dashed", color="magenta", weight=3]; 337 -> 506[label="",style="dashed", color="magenta", weight=3]; 338 -> 149[label="",style="dashed", color="red", weight=0]; 338[label="xy3001 == xy4001",fontsize=16,color="magenta"];338 -> 507[label="",style="dashed", color="magenta", weight=3]; 338 -> 508[label="",style="dashed", color="magenta", weight=3]; 339 -> 150[label="",style="dashed", color="red", weight=0]; 339[label="xy3001 == xy4001",fontsize=16,color="magenta"];339 -> 509[label="",style="dashed", color="magenta", weight=3]; 339 -> 510[label="",style="dashed", color="magenta", weight=3]; 340 -> 151[label="",style="dashed", color="red", weight=0]; 340[label="xy3001 == xy4001",fontsize=16,color="magenta"];340 -> 511[label="",style="dashed", color="magenta", weight=3]; 340 -> 512[label="",style="dashed", color="magenta", weight=3]; 341 -> 152[label="",style="dashed", color="red", weight=0]; 341[label="xy3001 == xy4001",fontsize=16,color="magenta"];341 -> 513[label="",style="dashed", color="magenta", weight=3]; 341 -> 514[label="",style="dashed", color="magenta", weight=3]; 342 -> 153[label="",style="dashed", color="red", weight=0]; 342[label="xy3001 == xy4001",fontsize=16,color="magenta"];342 -> 515[label="",style="dashed", color="magenta", weight=3]; 342 -> 516[label="",style="dashed", color="magenta", weight=3]; 343 -> 154[label="",style="dashed", color="red", weight=0]; 343[label="xy3001 == xy4001",fontsize=16,color="magenta"];343 -> 517[label="",style="dashed", color="magenta", weight=3]; 343 -> 518[label="",style="dashed", color="magenta", weight=3]; 344 -> 155[label="",style="dashed", color="red", weight=0]; 344[label="xy3001 == xy4001",fontsize=16,color="magenta"];344 -> 519[label="",style="dashed", color="magenta", weight=3]; 344 -> 520[label="",style="dashed", color="magenta", weight=3]; 345 -> 108[label="",style="dashed", color="red", weight=0]; 345[label="xy3001 == xy4001",fontsize=16,color="magenta"];345 -> 521[label="",style="dashed", color="magenta", weight=3]; 345 -> 522[label="",style="dashed", color="magenta", weight=3]; 346 -> 157[label="",style="dashed", color="red", weight=0]; 346[label="xy3001 == xy4001",fontsize=16,color="magenta"];346 -> 523[label="",style="dashed", color="magenta", weight=3]; 346 -> 524[label="",style="dashed", color="magenta", weight=3]; 347 -> 144[label="",style="dashed", color="red", weight=0]; 347[label="xy3000 == xy4000",fontsize=16,color="magenta"];347 -> 525[label="",style="dashed", color="magenta", weight=3]; 347 -> 526[label="",style="dashed", color="magenta", weight=3]; 348 -> 145[label="",style="dashed", color="red", weight=0]; 348[label="xy3000 == xy4000",fontsize=16,color="magenta"];348 -> 527[label="",style="dashed", color="magenta", weight=3]; 348 -> 528[label="",style="dashed", color="magenta", weight=3]; 349 -> 146[label="",style="dashed", color="red", weight=0]; 349[label="xy3000 == xy4000",fontsize=16,color="magenta"];349 -> 529[label="",style="dashed", color="magenta", weight=3]; 349 -> 530[label="",style="dashed", color="magenta", weight=3]; 350 -> 147[label="",style="dashed", color="red", weight=0]; 350[label="xy3000 == xy4000",fontsize=16,color="magenta"];350 -> 531[label="",style="dashed", color="magenta", weight=3]; 350 -> 532[label="",style="dashed", color="magenta", weight=3]; 351 -> 148[label="",style="dashed", color="red", weight=0]; 351[label="xy3000 == xy4000",fontsize=16,color="magenta"];351 -> 533[label="",style="dashed", color="magenta", weight=3]; 351 -> 534[label="",style="dashed", color="magenta", weight=3]; 352 -> 149[label="",style="dashed", color="red", weight=0]; 352[label="xy3000 == xy4000",fontsize=16,color="magenta"];352 -> 535[label="",style="dashed", color="magenta", weight=3]; 352 -> 536[label="",style="dashed", color="magenta", weight=3]; 353 -> 150[label="",style="dashed", color="red", weight=0]; 353[label="xy3000 == xy4000",fontsize=16,color="magenta"];353 -> 537[label="",style="dashed", color="magenta", weight=3]; 353 -> 538[label="",style="dashed", color="magenta", weight=3]; 354 -> 151[label="",style="dashed", color="red", weight=0]; 354[label="xy3000 == xy4000",fontsize=16,color="magenta"];354 -> 539[label="",style="dashed", color="magenta", weight=3]; 354 -> 540[label="",style="dashed", color="magenta", weight=3]; 355 -> 152[label="",style="dashed", color="red", weight=0]; 355[label="xy3000 == xy4000",fontsize=16,color="magenta"];355 -> 541[label="",style="dashed", color="magenta", weight=3]; 355 -> 542[label="",style="dashed", color="magenta", weight=3]; 356 -> 153[label="",style="dashed", color="red", weight=0]; 356[label="xy3000 == xy4000",fontsize=16,color="magenta"];356 -> 543[label="",style="dashed", color="magenta", weight=3]; 356 -> 544[label="",style="dashed", color="magenta", weight=3]; 357 -> 154[label="",style="dashed", color="red", weight=0]; 357[label="xy3000 == xy4000",fontsize=16,color="magenta"];357 -> 545[label="",style="dashed", color="magenta", weight=3]; 357 -> 546[label="",style="dashed", color="magenta", weight=3]; 358 -> 155[label="",style="dashed", color="red", weight=0]; 358[label="xy3000 == xy4000",fontsize=16,color="magenta"];358 -> 547[label="",style="dashed", color="magenta", weight=3]; 358 -> 548[label="",style="dashed", color="magenta", weight=3]; 359 -> 108[label="",style="dashed", color="red", weight=0]; 359[label="xy3000 == xy4000",fontsize=16,color="magenta"];359 -> 549[label="",style="dashed", color="magenta", weight=3]; 359 -> 550[label="",style="dashed", color="magenta", weight=3]; 360 -> 157[label="",style="dashed", color="red", weight=0]; 360[label="xy3000 == xy4000",fontsize=16,color="magenta"];360 -> 551[label="",style="dashed", color="magenta", weight=3]; 360 -> 552[label="",style="dashed", color="magenta", weight=3]; 361[label="xy3001 == 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561[label="",style="solid", color="blue", weight=3]; 913[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 562[label="",style="solid", color="blue", weight=3]; 914[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 563[label="",style="solid", color="blue", weight=3]; 915[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 564[label="",style="solid", color="blue", weight=3]; 916[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 565[label="",style="solid", color="blue", weight=3]; 917[label="== :: Integer -> Integer -> 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574[label="",style="solid", color="blue", weight=3]; 926[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];362 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 575[label="",style="solid", color="blue", weight=3]; 927[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];362 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 576[label="",style="solid", color="blue", weight=3]; 928[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];362 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 577[label="",style="solid", color="blue", weight=3]; 929[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];362 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 578[label="",style="solid", color="blue", weight=3]; 930[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];362 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 579[label="",style="solid", color="blue", weight=3]; 931[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];362 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 580[label="",style="solid", color="blue", weight=3]; 363 -> 144[label="",style="dashed", color="red", weight=0]; 363[label="xy3000 == xy4000",fontsize=16,color="magenta"];363 -> 581[label="",style="dashed", color="magenta", weight=3]; 363 -> 582[label="",style="dashed", color="magenta", weight=3]; 364 -> 157[label="",style="dashed", color="red", weight=0]; 364[label="xy3000 == xy4000",fontsize=16,color="magenta"];364 -> 583[label="",style="dashed", color="magenta", weight=3]; 364 -> 584[label="",style="dashed", color="magenta", weight=3]; 365 -> 144[label="",style="dashed", color="red", weight=0]; 365[label="xy3001 == xy4001",fontsize=16,color="magenta"];365 -> 585[label="",style="dashed", color="magenta", weight=3]; 365 -> 586[label="",style="dashed", color="magenta", weight=3]; 366 -> 157[label="",style="dashed", color="red", weight=0]; 366[label="xy3001 == xy4001",fontsize=16,color="magenta"];366 -> 587[label="",style="dashed", color="magenta", weight=3]; 366 -> 588[label="",style="dashed", color="magenta", weight=3]; 367[label="xy3000 * xy4001",fontsize=16,color="black",shape="triangle"];367 -> 589[label="",style="solid", color="black", weight=3]; 368 -> 367[label="",style="dashed", color="red", weight=0]; 368[label="xy3001 * xy4000",fontsize=16,color="magenta"];368 -> 590[label="",style="dashed", color="magenta", weight=3]; 368 -> 591[label="",style="dashed", color="magenta", weight=3]; 369[label="primEqNat (Succ xy30000) xy4000",fontsize=16,color="burlywood",shape="box"];932[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];369 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 592[label="",style="solid", color="burlywood", weight=3]; 933[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];369 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 593[label="",style="solid", color="burlywood", weight=3]; 370[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];934[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];370 -> 934[label="",style="solid", color="burlywood", weight=9]; 934 -> 594[label="",style="solid", color="burlywood", weight=3]; 935[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];370 -> 935[label="",style="solid", color="burlywood", weight=9]; 935 -> 595[label="",style="solid", color="burlywood", weight=3]; 371[label="xy3000",fontsize=16,color="green",shape="box"];372[label="xy4000",fontsize=16,color="green",shape="box"];373[label="xy3000",fontsize=16,color="green",shape="box"];374[label="xy4000",fontsize=16,color="green",shape="box"];375[label="xy3000",fontsize=16,color="green",shape="box"];376[label="xy4000",fontsize=16,color="green",shape="box"];377[label="xy3000",fontsize=16,color="green",shape="box"];378[label="xy4000",fontsize=16,color="green",shape="box"];379[label="xy3000",fontsize=16,color="green",shape="box"];380[label="xy4000",fontsize=16,color="green",shape="box"];381[label="xy3000",fontsize=16,color="green",shape="box"];382[label="xy4000",fontsize=16,color="green",shape="box"];383[label="xy3000",fontsize=16,color="green",shape="box"];384[label="xy4000",fontsize=16,color="green",shape="box"];385[label="xy3000",fontsize=16,color="green",shape="box"];386[label="xy4000",fontsize=16,color="green",shape="box"];387[label="xy3000",fontsize=16,color="green",shape="box"];388[label="xy4000",fontsize=16,color="green",shape="box"];389[label="xy3000",fontsize=16,color="green",shape="box"];390[label="xy4000",fontsize=16,color="green",shape="box"];391[label="xy3000",fontsize=16,color="green",shape="box"];392[label="xy4000",fontsize=16,color="green",shape="box"];393[label="xy3000",fontsize=16,color="green",shape="box"];394[label="xy4000",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="xy3000",fontsize=16,color="green",shape="box"];398[label="xy4000",fontsize=16,color="green",shape="box"];399[label="xy3000",fontsize=16,color="green",shape="box"];400[label="xy4000",fontsize=16,color="green",shape="box"];401[label="xy3000",fontsize=16,color="green",shape="box"];402[label="xy4000",fontsize=16,color="green",shape="box"];403[label="xy3000",fontsize=16,color="green",shape="box"];404[label="xy4000",fontsize=16,color="green",shape="box"];405[label="xy3000",fontsize=16,color="green",shape="box"];406[label="xy4000",fontsize=16,color="green",shape="box"];407[label="xy3000",fontsize=16,color="green",shape="box"];408[label="xy4000",fontsize=16,color="green",shape="box"];409[label="xy3000",fontsize=16,color="green",shape="box"];410[label="xy4000",fontsize=16,color="green",shape="box"];411[label="xy3000",fontsize=16,color="green",shape="box"];412[label="xy4000",fontsize=16,color="green",shape="box"];413[label="xy3000",fontsize=16,color="green",shape="box"];414[label="xy4000",fontsize=16,color="green",shape="box"];415[label="xy3000",fontsize=16,color="green",shape="box"];416[label="xy4000",fontsize=16,color="green",shape="box"];417[label="xy3000",fontsize=16,color="green",shape="box"];418[label="xy4000",fontsize=16,color="green",shape="box"];419[label="xy3000",fontsize=16,color="green",shape="box"];420[label="xy4000",fontsize=16,color="green",shape="box"];421[label="xy3000",fontsize=16,color="green",shape="box"];422[label="xy4000",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="xy3000",fontsize=16,color="green",shape="box"];426[label="xy4000",fontsize=16,color="green",shape="box"];427 -> 367[label="",style="dashed", color="red", weight=0]; 427[label="xy3000 * xy4001",fontsize=16,color="magenta"];427 -> 596[label="",style="dashed", color="magenta", weight=3]; 427 -> 597[label="",style="dashed", color="magenta", weight=3]; 428 -> 367[label="",style="dashed", color="red", weight=0]; 428[label="xy3001 * xy4000",fontsize=16,color="magenta"];428 -> 598[label="",style="dashed", color="magenta", weight=3]; 428 -> 599[label="",style="dashed", color="magenta", weight=3]; 429[label="xy3000",fontsize=16,color="green",shape="box"];430[label="xy4000",fontsize=16,color="green",shape="box"];431[label="xy3000",fontsize=16,color="green",shape="box"];432[label="xy4000",fontsize=16,color="green",shape="box"];433[label="xy3000",fontsize=16,color="green",shape="box"];434[label="xy4000",fontsize=16,color="green",shape="box"];435[label="xy3000",fontsize=16,color="green",shape="box"];436[label="xy4000",fontsize=16,color="green",shape="box"];437[label="xy3000",fontsize=16,color="green",shape="box"];438[label="xy4000",fontsize=16,color="green",shape="box"];439[label="xy3000",fontsize=16,color="green",shape="box"];440[label="xy4000",fontsize=16,color="green",shape="box"];441[label="xy3000",fontsize=16,color="green",shape="box"];442[label="xy4000",fontsize=16,color="green",shape="box"];443[label="xy3000",fontsize=16,color="green",shape="box"];444[label="xy4000",fontsize=16,color="green",shape="box"];445[label="xy3000",fontsize=16,color="green",shape="box"];446[label="xy4000",fontsize=16,color="green",shape="box"];447[label="xy3000",fontsize=16,color="green",shape="box"];448[label="xy4000",fontsize=16,color="green",shape="box"];449[label="xy3000",fontsize=16,color="green",shape="box"];450[label="xy4000",fontsize=16,color="green",shape="box"];451[label="xy3000",fontsize=16,color="green",shape="box"];452[label="xy4000",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="xy3000",fontsize=16,color="green",shape="box"];456[label="xy4000",fontsize=16,color="green",shape="box"];457 -> 259[label="",style="dashed", color="red", weight=0]; 457[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];457 -> 600[label="",style="dashed", color="magenta", weight=3]; 457 -> 601[label="",style="dashed", color="magenta", weight=3]; 458[label="False",fontsize=16,color="green",shape="box"];459[label="False",fontsize=16,color="green",shape="box"];460[label="True",fontsize=16,color="green",shape="box"];461[label="False",fontsize=16,color="green",shape="box"];462[label="True",fontsize=16,color="green",shape="box"];463 -> 259[label="",style="dashed", color="red", weight=0]; 463[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];463 -> 602[label="",style="dashed", color="magenta", weight=3]; 463 -> 603[label="",style="dashed", color="magenta", weight=3]; 464[label="False",fontsize=16,color="green",shape="box"];465[label="False",fontsize=16,color="green",shape="box"];466[label="True",fontsize=16,color="green",shape="box"];467[label="False",fontsize=16,color="green",shape="box"];468[label="True",fontsize=16,color="green",shape="box"];469[label="xy3000",fontsize=16,color="green",shape="box"];470[label="xy4000",fontsize=16,color="green",shape="box"];471[label="xy3000",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="xy4000",fontsize=16,color="green",shape="box"];494[label="xy3000",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="xy3001",fontsize=16,color="green",shape="box"];498[label="xy4001",fontsize=16,color="green",shape="box"];499[label="xy3001",fontsize=16,color="green",shape="box"];500[label="xy4001",fontsize=16,color="green",shape="box"];501[label="xy3001",fontsize=16,color="green",shape="box"];502[label="xy4001",fontsize=16,color="green",shape="box"];503[label="xy3001",fontsize=16,color="green",shape="box"];504[label="xy4001",fontsize=16,color="green",shape="box"];505[label="xy3001",fontsize=16,color="green",shape="box"];506[label="xy4001",fontsize=16,color="green",shape="box"];507[label="xy3001",fontsize=16,color="green",shape="box"];508[label="xy4001",fontsize=16,color="green",shape="box"];509[label="xy3001",fontsize=16,color="green",shape="box"];510[label="xy4001",fontsize=16,color="green",shape="box"];511[label="xy3001",fontsize=16,color="green",shape="box"];512[label="xy4001",fontsize=16,color="green",shape="box"];513[label="xy3001",fontsize=16,color="green",shape="box"];514[label="xy4001",fontsize=16,color="green",shape="box"];515[label="xy3001",fontsize=16,color="green",shape="box"];516[label="xy4001",fontsize=16,color="green",shape="box"];517[label="xy3001",fontsize=16,color="green",shape="box"];518[label="xy4001",fontsize=16,color="green",shape="box"];519[label="xy3001",fontsize=16,color="green",shape="box"];520[label="xy4001",fontsize=16,color="green",shape="box"];521[label="xy4001",fontsize=16,color="green",shape="box"];522[label="xy3001",fontsize=16,color="green",shape="box"];523[label="xy3001",fontsize=16,color="green",shape="box"];524[label="xy4001",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[label="xy3000",fontsize=16,color="green",shape="box"];542[label="xy4000",fontsize=16,color="green",shape="box"];543[label="xy3000",fontsize=16,color="green",shape="box"];544[label="xy4000",fontsize=16,color="green",shape="box"];545[label="xy3000",fontsize=16,color="green",shape="box"];546[label="xy4000",fontsize=16,color="green",shape="box"];547[label="xy3000",fontsize=16,color="green",shape="box"];548[label="xy4000",fontsize=16,color="green",shape="box"];549[label="xy4000",fontsize=16,color="green",shape="box"];550[label="xy3000",fontsize=16,color="green",shape="box"];551[label="xy3000",fontsize=16,color="green",shape="box"];552[label="xy4000",fontsize=16,color="green",shape="box"];553 -> 144[label="",style="dashed", color="red", weight=0]; 553[label="xy3001 == xy4001",fontsize=16,color="magenta"];553 -> 604[label="",style="dashed", color="magenta", weight=3]; 553 -> 605[label="",style="dashed", color="magenta", weight=3]; 554 -> 145[label="",style="dashed", color="red", weight=0]; 554[label="xy3001 == xy4001",fontsize=16,color="magenta"];554 -> 606[label="",style="dashed", color="magenta", weight=3]; 554 -> 607[label="",style="dashed", color="magenta", weight=3]; 555 -> 146[label="",style="dashed", color="red", weight=0]; 555[label="xy3001 == xy4001",fontsize=16,color="magenta"];555 -> 608[label="",style="dashed", color="magenta", weight=3]; 555 -> 609[label="",style="dashed", color="magenta", weight=3]; 556 -> 147[label="",style="dashed", color="red", weight=0]; 556[label="xy3001 == xy4001",fontsize=16,color="magenta"];556 -> 610[label="",style="dashed", color="magenta", weight=3]; 556 -> 611[label="",style="dashed", color="magenta", weight=3]; 557 -> 148[label="",style="dashed", color="red", weight=0]; 557[label="xy3001 == xy4001",fontsize=16,color="magenta"];557 -> 612[label="",style="dashed", color="magenta", weight=3]; 557 -> 613[label="",style="dashed", color="magenta", weight=3]; 558 -> 149[label="",style="dashed", color="red", weight=0]; 558[label="xy3001 == xy4001",fontsize=16,color="magenta"];558 -> 614[label="",style="dashed", color="magenta", weight=3]; 558 -> 615[label="",style="dashed", color="magenta", weight=3]; 559 -> 150[label="",style="dashed", color="red", weight=0]; 559[label="xy3001 == xy4001",fontsize=16,color="magenta"];559 -> 616[label="",style="dashed", color="magenta", weight=3]; 559 -> 617[label="",style="dashed", color="magenta", weight=3]; 560 -> 151[label="",style="dashed", color="red", weight=0]; 560[label="xy3001 == xy4001",fontsize=16,color="magenta"];560 -> 618[label="",style="dashed", color="magenta", weight=3]; 560 -> 619[label="",style="dashed", color="magenta", weight=3]; 561 -> 152[label="",style="dashed", color="red", weight=0]; 561[label="xy3001 == xy4001",fontsize=16,color="magenta"];561 -> 620[label="",style="dashed", color="magenta", weight=3]; 561 -> 621[label="",style="dashed", color="magenta", weight=3]; 562 -> 153[label="",style="dashed", color="red", weight=0]; 562[label="xy3001 == xy4001",fontsize=16,color="magenta"];562 -> 622[label="",style="dashed", color="magenta", weight=3]; 562 -> 623[label="",style="dashed", color="magenta", weight=3]; 563 -> 154[label="",style="dashed", color="red", weight=0]; 563[label="xy3001 == xy4001",fontsize=16,color="magenta"];563 -> 624[label="",style="dashed", color="magenta", weight=3]; 563 -> 625[label="",style="dashed", color="magenta", weight=3]; 564 -> 155[label="",style="dashed", color="red", weight=0]; 564[label="xy3001 == xy4001",fontsize=16,color="magenta"];564 -> 626[label="",style="dashed", color="magenta", weight=3]; 564 -> 627[label="",style="dashed", color="magenta", weight=3]; 565 -> 108[label="",style="dashed", color="red", weight=0]; 565[label="xy3001 == xy4001",fontsize=16,color="magenta"];565 -> 628[label="",style="dashed", color="magenta", weight=3]; 565 -> 629[label="",style="dashed", color="magenta", weight=3]; 566 -> 157[label="",style="dashed", color="red", weight=0]; 566[label="xy3001 == xy4001",fontsize=16,color="magenta"];566 -> 630[label="",style="dashed", color="magenta", weight=3]; 566 -> 631[label="",style="dashed", color="magenta", weight=3]; 567 -> 144[label="",style="dashed", color="red", weight=0]; 567[label="xy3002 == xy4002",fontsize=16,color="magenta"];567 -> 632[label="",style="dashed", color="magenta", weight=3]; 567 -> 633[label="",style="dashed", color="magenta", weight=3]; 568 -> 145[label="",style="dashed", color="red", weight=0]; 568[label="xy3002 == xy4002",fontsize=16,color="magenta"];568 -> 634[label="",style="dashed", color="magenta", weight=3]; 568 -> 635[label="",style="dashed", color="magenta", weight=3]; 569 -> 146[label="",style="dashed", color="red", weight=0]; 569[label="xy3002 == xy4002",fontsize=16,color="magenta"];569 -> 636[label="",style="dashed", color="magenta", weight=3]; 569 -> 637[label="",style="dashed", color="magenta", weight=3]; 570 -> 147[label="",style="dashed", color="red", weight=0]; 570[label="xy3002 == xy4002",fontsize=16,color="magenta"];570 -> 638[label="",style="dashed", color="magenta", weight=3]; 570 -> 639[label="",style="dashed", color="magenta", weight=3]; 571 -> 148[label="",style="dashed", color="red", weight=0]; 571[label="xy3002 == xy4002",fontsize=16,color="magenta"];571 -> 640[label="",style="dashed", color="magenta", weight=3]; 571 -> 641[label="",style="dashed", color="magenta", weight=3]; 572 -> 149[label="",style="dashed", color="red", weight=0]; 572[label="xy3002 == xy4002",fontsize=16,color="magenta"];572 -> 642[label="",style="dashed", color="magenta", weight=3]; 572 -> 643[label="",style="dashed", color="magenta", weight=3]; 573 -> 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154[label="",style="dashed", color="red", weight=0]; 577[label="xy3002 == xy4002",fontsize=16,color="magenta"];577 -> 652[label="",style="dashed", color="magenta", weight=3]; 577 -> 653[label="",style="dashed", color="magenta", weight=3]; 578 -> 155[label="",style="dashed", color="red", weight=0]; 578[label="xy3002 == xy4002",fontsize=16,color="magenta"];578 -> 654[label="",style="dashed", color="magenta", weight=3]; 578 -> 655[label="",style="dashed", color="magenta", weight=3]; 579 -> 108[label="",style="dashed", color="red", weight=0]; 579[label="xy3002 == xy4002",fontsize=16,color="magenta"];579 -> 656[label="",style="dashed", color="magenta", weight=3]; 579 -> 657[label="",style="dashed", color="magenta", weight=3]; 580 -> 157[label="",style="dashed", color="red", weight=0]; 580[label="xy3002 == xy4002",fontsize=16,color="magenta"];580 -> 658[label="",style="dashed", color="magenta", weight=3]; 580 -> 659[label="",style="dashed", color="magenta", weight=3]; 581[label="xy3000",fontsize=16,color="green",shape="box"];582[label="xy4000",fontsize=16,color="green",shape="box"];583[label="xy3000",fontsize=16,color="green",shape="box"];584[label="xy4000",fontsize=16,color="green",shape="box"];585[label="xy3001",fontsize=16,color="green",shape="box"];586[label="xy4001",fontsize=16,color="green",shape="box"];587[label="xy3001",fontsize=16,color="green",shape="box"];588[label="xy4001",fontsize=16,color="green",shape="box"];589[label="primMulInt xy3000 xy4001",fontsize=16,color="burlywood",shape="box"];936[label="xy3000/Pos xy30000",fontsize=10,color="white",style="solid",shape="box"];589 -> 936[label="",style="solid", color="burlywood", weight=9]; 936 -> 660[label="",style="solid", color="burlywood", weight=3]; 937[label="xy3000/Neg xy30000",fontsize=10,color="white",style="solid",shape="box"];589 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 661[label="",style="solid", color="burlywood", weight=3]; 590[label="xy4000",fontsize=16,color="green",shape="box"];591[label="xy3001",fontsize=16,color="green",shape="box"];592[label="primEqNat (Succ xy30000) (Succ xy40000)",fontsize=16,color="black",shape="box"];592 -> 662[label="",style="solid", color="black", weight=3]; 593[label="primEqNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];593 -> 663[label="",style="solid", color="black", weight=3]; 594[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];594 -> 664[label="",style="solid", color="black", weight=3]; 595[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];595 -> 665[label="",style="solid", color="black", weight=3]; 596[label="xy4001",fontsize=16,color="green",shape="box"];597[label="xy3000",fontsize=16,color="green",shape="box"];598[label="xy4000",fontsize=16,color="green",shape="box"];599[label="xy3001",fontsize=16,color="green",shape="box"];600[label="xy30000",fontsize=16,color="green",shape="box"];601[label="xy40000",fontsize=16,color="green",shape="box"];602[label="xy30000",fontsize=16,color="green",shape="box"];603[label="xy40000",fontsize=16,color="green",shape="box"];604[label="xy3001",fontsize=16,color="green",shape="box"];605[label="xy4001",fontsize=16,color="green",shape="box"];606[label="xy3001",fontsize=16,color="green",shape="box"];607[label="xy4001",fontsize=16,color="green",shape="box"];608[label="xy3001",fontsize=16,color="green",shape="box"];609[label="xy4001",fontsize=16,color="green",shape="box"];610[label="xy3001",fontsize=16,color="green",shape="box"];611[label="xy4001",fontsize=16,color="green",shape="box"];612[label="xy3001",fontsize=16,color="green",shape="box"];613[label="xy4001",fontsize=16,color="green",shape="box"];614[label="xy3001",fontsize=16,color="green",shape="box"];615[label="xy4001",fontsize=16,color="green",shape="box"];616[label="xy3001",fontsize=16,color="green",shape="box"];617[label="xy4001",fontsize=16,color="green",shape="box"];618[label="xy3001",fontsize=16,color="green",shape="box"];619[label="xy4001",fontsize=16,color="green",shape="box"];620[label="xy3001",fontsize=16,color="green",shape="box"];621[label="xy4001",fontsize=16,color="green",shape="box"];622[label="xy3001",fontsize=16,color="green",shape="box"];623[label="xy4001",fontsize=16,color="green",shape="box"];624[label="xy3001",fontsize=16,color="green",shape="box"];625[label="xy4001",fontsize=16,color="green",shape="box"];626[label="xy3001",fontsize=16,color="green",shape="box"];627[label="xy4001",fontsize=16,color="green",shape="box"];628[label="xy4001",fontsize=16,color="green",shape="box"];629[label="xy3001",fontsize=16,color="green",shape="box"];630[label="xy3001",fontsize=16,color="green",shape="box"];631[label="xy4001",fontsize=16,color="green",shape="box"];632[label="xy3002",fontsize=16,color="green",shape="box"];633[label="xy4002",fontsize=16,color="green",shape="box"];634[label="xy3002",fontsize=16,color="green",shape="box"];635[label="xy4002",fontsize=16,color="green",shape="box"];636[label="xy3002",fontsize=16,color="green",shape="box"];637[label="xy4002",fontsize=16,color="green",shape="box"];638[label="xy3002",fontsize=16,color="green",shape="box"];639[label="xy4002",fontsize=16,color="green",shape="box"];640[label="xy3002",fontsize=16,color="green",shape="box"];641[label="xy4002",fontsize=16,color="green",shape="box"];642[label="xy3002",fontsize=16,color="green",shape="box"];643[label="xy4002",fontsize=16,color="green",shape="box"];644[label="xy3002",fontsize=16,color="green",shape="box"];645[label="xy4002",fontsize=16,color="green",shape="box"];646[label="xy3002",fontsize=16,color="green",shape="box"];647[label="xy4002",fontsize=16,color="green",shape="box"];648[label="xy3002",fontsize=16,color="green",shape="box"];649[label="xy4002",fontsize=16,color="green",shape="box"];650[label="xy3002",fontsize=16,color="green",shape="box"];651[label="xy4002",fontsize=16,color="green",shape="box"];652[label="xy3002",fontsize=16,color="green",shape="box"];653[label="xy4002",fontsize=16,color="green",shape="box"];654[label="xy3002",fontsize=16,color="green",shape="box"];655[label="xy4002",fontsize=16,color="green",shape="box"];656[label="xy4002",fontsize=16,color="green",shape="box"];657[label="xy3002",fontsize=16,color="green",shape="box"];658[label="xy3002",fontsize=16,color="green",shape="box"];659[label="xy4002",fontsize=16,color="green",shape="box"];660[label="primMulInt (Pos xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];938[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];660 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 666[label="",style="solid", color="burlywood", weight=3]; 939[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];660 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 667[label="",style="solid", color="burlywood", weight=3]; 661[label="primMulInt (Neg xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];940[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];661 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 668[label="",style="solid", color="burlywood", weight=3]; 941[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];661 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 669[label="",style="solid", color="burlywood", weight=3]; 662 -> 259[label="",style="dashed", color="red", weight=0]; 662[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];662 -> 670[label="",style="dashed", color="magenta", weight=3]; 662 -> 671[label="",style="dashed", color="magenta", weight=3]; 663[label="False",fontsize=16,color="green",shape="box"];664[label="False",fontsize=16,color="green",shape="box"];665[label="True",fontsize=16,color="green",shape="box"];666[label="primMulInt (Pos xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];666 -> 672[label="",style="solid", color="black", weight=3]; 667[label="primMulInt (Pos xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];667 -> 673[label="",style="solid", color="black", weight=3]; 668[label="primMulInt (Neg xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];668 -> 674[label="",style="solid", color="black", weight=3]; 669[label="primMulInt (Neg xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];669 -> 675[label="",style="solid", color="black", weight=3]; 670[label="xy30000",fontsize=16,color="green",shape="box"];671[label="xy40000",fontsize=16,color="green",shape="box"];672[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];672 -> 676[label="",style="dashed", color="green", weight=3]; 673[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];673 -> 677[label="",style="dashed", color="green", weight=3]; 674[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];674 -> 678[label="",style="dashed", color="green", weight=3]; 675[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];675 -> 679[label="",style="dashed", color="green", weight=3]; 676[label="primMulNat xy30000 xy40010",fontsize=16,color="burlywood",shape="triangle"];942[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];676 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 680[label="",style="solid", color="burlywood", weight=3]; 943[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];676 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 681[label="",style="solid", color="burlywood", weight=3]; 677 -> 676[label="",style="dashed", color="red", weight=0]; 677[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];677 -> 682[label="",style="dashed", color="magenta", weight=3]; 678 -> 676[label="",style="dashed", color="red", weight=0]; 678[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];678 -> 683[label="",style="dashed", color="magenta", weight=3]; 679 -> 676[label="",style="dashed", color="red", weight=0]; 679[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];679 -> 684[label="",style="dashed", color="magenta", weight=3]; 679 -> 685[label="",style="dashed", color="magenta", weight=3]; 680[label="primMulNat (Succ xy300000) xy40010",fontsize=16,color="burlywood",shape="box"];944[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];680 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 686[label="",style="solid", color="burlywood", weight=3]; 945[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];680 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 687[label="",style="solid", color="burlywood", weight=3]; 681[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];946[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];681 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 688[label="",style="solid", color="burlywood", weight=3]; 947[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 689[label="",style="solid", color="burlywood", weight=3]; 682[label="xy40010",fontsize=16,color="green",shape="box"];683[label="xy30000",fontsize=16,color="green",shape="box"];684[label="xy30000",fontsize=16,color="green",shape="box"];685[label="xy40010",fontsize=16,color="green",shape="box"];686[label="primMulNat (Succ xy300000) (Succ xy400100)",fontsize=16,color="black",shape="box"];686 -> 690[label="",style="solid", color="black", weight=3]; 687[label="primMulNat (Succ xy300000) Zero",fontsize=16,color="black",shape="box"];687 -> 691[label="",style="solid", color="black", weight=3]; 688[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];688 -> 692[label="",style="solid", color="black", weight=3]; 689[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];689 -> 693[label="",style="solid", color="black", weight=3]; 690 -> 694[label="",style="dashed", color="red", weight=0]; 690[label="primPlusNat (primMulNat xy300000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];690 -> 695[label="",style="dashed", color="magenta", weight=3]; 691[label="Zero",fontsize=16,color="green",shape="box"];692[label="Zero",fontsize=16,color="green",shape="box"];693[label="Zero",fontsize=16,color="green",shape="box"];695 -> 676[label="",style="dashed", color="red", weight=0]; 695[label="primMulNat xy300000 (Succ xy400100)",fontsize=16,color="magenta"];695 -> 696[label="",style="dashed", color="magenta", weight=3]; 695 -> 697[label="",style="dashed", color="magenta", weight=3]; 694[label="primPlusNat xy20 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];948[label="xy20/Succ xy200",fontsize=10,color="white",style="solid",shape="box"];694 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 698[label="",style="solid", color="burlywood", weight=3]; 949[label="xy20/Zero",fontsize=10,color="white",style="solid",shape="box"];694 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 699[label="",style="solid", color="burlywood", weight=3]; 696[label="xy300000",fontsize=16,color="green",shape="box"];697[label="Succ xy400100",fontsize=16,color="green",shape="box"];698[label="primPlusNat (Succ xy200) (Succ xy400100)",fontsize=16,color="black",shape="box"];698 -> 700[label="",style="solid", color="black", weight=3]; 699[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];699 -> 701[label="",style="solid", color="black", weight=3]; 700[label="Succ (Succ (primPlusNat xy200 xy400100))",fontsize=16,color="green",shape="box"];700 -> 702[label="",style="dashed", color="green", weight=3]; 701[label="Succ xy400100",fontsize=16,color="green",shape="box"];702[label="primPlusNat xy200 xy400100",fontsize=16,color="burlywood",shape="triangle"];950[label="xy200/Succ xy2000",fontsize=10,color="white",style="solid",shape="box"];702 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 703[label="",style="solid", color="burlywood", weight=3]; 951[label="xy200/Zero",fontsize=10,color="white",style="solid",shape="box"];702 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 704[label="",style="solid", color="burlywood", weight=3]; 703[label="primPlusNat (Succ xy2000) xy400100",fontsize=16,color="burlywood",shape="box"];952[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];703 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 705[label="",style="solid", color="burlywood", weight=3]; 953[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];703 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 706[label="",style="solid", color="burlywood", weight=3]; 704[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];954[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];704 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 707[label="",style="solid", color="burlywood", weight=3]; 955[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];704 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 708[label="",style="solid", color="burlywood", weight=3]; 705[label="primPlusNat (Succ xy2000) (Succ xy4001000)",fontsize=16,color="black",shape="box"];705 -> 709[label="",style="solid", color="black", weight=3]; 706[label="primPlusNat (Succ xy2000) Zero",fontsize=16,color="black",shape="box"];706 -> 710[label="",style="solid", color="black", weight=3]; 707[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];707 -> 711[label="",style="solid", color="black", weight=3]; 708[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];708 -> 712[label="",style="solid", color="black", weight=3]; 709[label="Succ (Succ (primPlusNat xy2000 xy4001000))",fontsize=16,color="green",shape="box"];709 -> 713[label="",style="dashed", color="green", weight=3]; 710[label="Succ xy2000",fontsize=16,color="green",shape="box"];711[label="Succ xy4001000",fontsize=16,color="green",shape="box"];712[label="Zero",fontsize=16,color="green",shape="box"];713 -> 702[label="",style="dashed", color="red", weight=0]; 713[label="primPlusNat xy2000 xy4001000",fontsize=16,color="magenta"];713 -> 714[label="",style="dashed", color="magenta", weight=3]; 713 -> 715[label="",style="dashed", color="magenta", weight=3]; 714[label="xy2000",fontsize=16,color="green",shape="box"];715[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_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_Maybe, eg)), dh), ea)) -> new_esEs2(xy3000, xy4000, eg) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(ty_Maybe, gb), ea) -> new_esEs2(xy3001, xy4001, gb) new_esEs1(Left(xy3000), Left(xy4000), app(app(ty_Either, bac), bad), hg) -> new_esEs1(xy3000, xy4000, bac, bad) new_esEs1(Left(xy3000), Left(xy4000), app(ty_[], baf), hg) -> new_esEs3(xy3000, xy4000, baf) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(ty_Maybe, dd))) -> new_esEs2(xy3001, xy4001, dd) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, eg), dh, ea) -> new_esEs2(xy3000, xy4000, eg) new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_@2, bca), bcb)) -> new_esEs(xy3000, xy4000, bca, bcb) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy3000, xy4000, ba, bb) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(ty_[], hd))) -> new_esEs3(xy3002, xy4002, hd) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(ty_[], de)) -> new_esEs3(xy3001, xy4001, de) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(app(ty_@2, gd), ge))) -> new_esEs(xy3002, xy4002, gd, ge) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(app(ty_@3, eb), ec), ed)), dh), ea)) -> new_esEs0(xy3000, xy4000, eb, ec, ed) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(ty_Maybe, dd)) -> new_esEs2(xy3001, xy4001, dd) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(app(ty_@2, cd), ce))) -> new_esEs(xy3001, xy4001, cd, ce) new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_Either, bac), bad)), hg)) -> new_esEs1(xy3000, xy4000, bac, bad) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, ca), bc) -> new_esEs2(xy3000, xy4000, ca) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(app(ty_@2, fb), fc)), ea)) -> new_esEs(xy3001, xy4001, fb, fc) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(app(ty_Either, fh), ga)), ea)) -> new_esEs1(xy3001, xy4001, fh, ga) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(ty_[], hd)) -> new_esEs3(xy3002, xy4002, hd) new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(ty_[], bbh))) -> new_esEs3(xy3000, xy4000, bbh) new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(app(app(ty_@3, bcc), bcd), bce))) -> new_esEs0(xy3000, xy4000, bcc, bcd, bce) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(xy3002, xy4002, hc) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_[], eh)), dh), ea)) -> new_esEs3(xy3000, xy4000, eh) new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_@2, he), hf)), hg)) -> new_esEs(xy3000, xy4000, he, hf) new_esEs1(Left(xy3000), Left(xy4000), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xy3000, xy4000, hh, baa, bab) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(app(app(ty_@3, cf), cg), da))) -> new_esEs0(xy3001, xy4001, cf, cg, da) new_esEs1(Left(xy3000), Left(xy4000), app(ty_Maybe, bae), hg) -> new_esEs2(xy3000, xy4000, bae) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(ty_Maybe, hc))) -> new_esEs2(xy3002, xy4002, hc) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(ty_[], de))) -> new_esEs3(xy3001, xy4001, de) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(app(ty_Either, db), dc)) -> new_esEs1(xy3001, xy4001, db, dc) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(ty_Maybe, ca)), bc)) -> new_esEs2(xy3000, xy4000, ca) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(ty_[], gc), ea) -> new_esEs3(xy3001, xy4001, gc) new_esEs1(Right(xy3000), Right(xy4000), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xy3000, xy4000, bbb, bbc, bbd) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(app(ty_@2, fb), fc), ea) -> new_esEs(xy3001, xy4001, fb, fc) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], cb), bc) -> new_esEs3(xy3000, xy4000, cb) new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_Either, bcf), bcg))) -> new_esEs1(xy3000, xy4000, bcf, bcg) new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(ty_Maybe, bae)), hg)) -> new_esEs2(xy3000, xy4000, bae) new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(ty_[], baf)), hg)) -> new_esEs3(xy3000, xy4000, baf) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xy3000, xy4000, bd, be, bf) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(app(app(ty_@3, bd), be), bf)), bc)) -> new_esEs0(xy3000, xy4000, bd, be, bf) new_esEs1(Right(xy3000), Right(xy4000), bag, app(app(ty_@2, bah), bba)) -> new_esEs(xy3000, xy4000, bah, bba) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(ty_[], cb)), bc)) -> new_esEs3(xy3000, xy4000, cb) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(app(ty_Either, ha), hb)) -> new_esEs1(xy3002, xy4002, ha, hb) new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(app(ty_@2, bah), bba))) -> new_esEs(xy3000, xy4000, bah, bba) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_Either, ee), ef)), dh), ea)) -> new_esEs1(xy3000, xy4000, ee, ef) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_@2, df), dg)), dh), ea)) -> new_esEs(xy3000, xy4000, df, dg) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(xy3001, xy4001, fd, ff, fg) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(app(ty_Either, db), dc))) -> new_esEs1(xy3001, xy4001, db, dc) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xy3001, xy4001, cf, cg, da) new_esEs3(:(xy300, xy301), :(xy400, xy401), app(ty_[], bdb)) -> new_esEs3(xy300, xy400, bdb) new_esEs2(Just(xy3000), Just(xy4000), app(ty_Maybe, bch)) -> new_esEs2(xy3000, xy4000, bch) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(app(ty_Either, bg), bh)), bc)) -> new_esEs1(xy3000, xy4000, bg, bh) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, df), dg), dh, ea) -> new_esEs(xy3000, xy4000, df, dg) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, ee), ef), dh, ea) -> new_esEs1(xy3000, xy4000, ee, ef) new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(app(ty_@2, ba), bb)), bc)) -> new_esEs(xy3000, xy4000, ba, bb) new_esEs2(Just(xy3000), Just(xy4000), app(ty_[], bda)) -> new_esEs3(xy3000, xy4000, bda) new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_@2, bca), bcb))) -> new_esEs(xy3000, xy4000, bca, bcb) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(xy3002, xy4002, gf, gg, gh) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy3001, xy4001, cd, ce) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(app(ty_Either, ha), hb))) -> new_esEs1(xy3002, xy4002, ha, hb) new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(ty_[], bda))) -> new_esEs3(xy3000, xy4000, bda) new_esEs1(Left(xy3000), Left(xy4000), app(app(ty_@2, he), hf), hg) -> new_esEs(xy3000, xy4000, he, hf) new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(app(app(ty_@3, hh), baa), bab)), hg)) -> new_esEs0(xy3000, xy4000, hh, baa, bab) new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_Either, bcf), bcg)) -> new_esEs1(xy3000, xy4000, bcf, bcg) new_esEs3(:(xy300, xy301), :(xy400, xy401), bdc) -> new_esEs3(xy301, xy401, bdc) new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(app(ty_Either, bbe), bbf))) -> new_esEs1(xy3000, xy4000, bbe, bbf) new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, bg), bh), bc) -> new_esEs1(xy3000, xy4000, bg, bh) new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(app(app(ty_@3, bbb), bbc), bbd))) -> new_esEs0(xy3000, xy4000, bbb, bbc, bbd) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(app(app(ty_@3, fd), ff), fg)), ea)) -> new_esEs0(xy3001, xy4001, fd, ff, fg) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(app(ty_Either, fh), ga), ea) -> new_esEs1(xy3001, xy4001, fh, ga) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], eh), dh, ea) -> new_esEs3(xy3000, xy4000, eh) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(app(app(ty_@3, gf), gg), gh))) -> new_esEs0(xy3002, xy4002, gf, gg, gh) new_esEs1(Right(xy3000), Right(xy4000), bag, app(ty_[], bbh)) -> new_esEs3(xy3000, xy4000, bbh) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(ty_Maybe, gb)), ea)) -> new_esEs2(xy3001, xy4001, gb) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(app(ty_@2, gd), ge)) -> new_esEs(xy3002, xy4002, gd, ge) new_esEs1(Right(xy3000), Right(xy4000), bag, app(ty_Maybe, bbg)) -> new_esEs2(xy3000, xy4000, bbg) new_esEs1(Right(xy3000), Right(xy4000), bag, app(app(ty_Either, bbe), bbf)) -> new_esEs1(xy3000, xy4000, bbe, bbf) new_esEs2(Just(xy3000), Just(xy4000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xy3000, xy4000, bcc, bcd, bce) new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(ty_[], gc)), ea)) -> new_esEs3(xy3001, xy4001, gc) new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(ty_Maybe, bbg))) -> new_esEs2(xy3000, xy4000, bbg) new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(ty_Maybe, bch))) -> new_esEs2(xy3000, xy4000, bch) new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, eb), ec), ed), dh, ea) -> new_esEs0(xy3000, xy4000, eb, ec, ed) 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_esEs2(Just(xy3000), Just(xy4000), app(ty_[], bda)) -> new_esEs3(xy3000, xy4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy3000), Just(xy4000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xy3000, xy4000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_Either, bcf), bcg)) -> new_esEs1(xy3000, xy4000, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xy3000), Just(xy4000), app(ty_Maybe, bch)) -> new_esEs2(xy3000, xy4000, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy3000), Just(xy4000), app(app(ty_@2, bca), bcb)) -> new_esEs(xy3000, xy4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Left(xy3000), Left(xy4000), app(ty_[], baf), hg) -> new_esEs3(xy3000, xy4000, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xy3000), Right(xy4000), bag, app(ty_[], bbh)) -> new_esEs3(xy3000, xy4000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(ty_[], hd))) -> new_esEs3(xy3002, xy4002, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(ty_[], bbh))) -> new_esEs3(xy3000, xy4000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_[], eh)), dh), ea)) -> new_esEs3(xy3000, xy4000, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(ty_[], de))) -> new_esEs3(xy3001, xy4001, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(ty_[], baf)), hg)) -> new_esEs3(xy3000, xy4000, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(ty_[], cb)), bc)) -> new_esEs3(xy3000, xy4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xy300, xy301), :(xy400, xy401), app(ty_[], bdb)) -> new_esEs3(xy300, xy400, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(ty_[], bda))) -> new_esEs3(xy3000, xy4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xy300, xy301), :(xy400, xy401), bdc) -> new_esEs3(xy301, xy401, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(ty_[], gc)), ea)) -> new_esEs3(xy3001, xy4001, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(ty_[], de)) -> new_esEs3(xy3001, xy4001, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], cb), bc) -> new_esEs3(xy3000, xy4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(ty_[], hd)) -> new_esEs3(xy3002, xy4002, hd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(ty_[], gc), ea) -> new_esEs3(xy3001, xy4001, gc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], eh), dh, ea) -> new_esEs3(xy3000, xy4000, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xy3000), Left(xy4000), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xy3000, xy4000, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xy3000), Right(xy4000), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xy3000, xy4000, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(app(ty_@3, eb), ec), ed)), dh), ea)) -> new_esEs0(xy3000, xy4000, eb, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(app(app(ty_@3, bcc), bcd), bce))) -> new_esEs0(xy3000, xy4000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(app(app(ty_@3, cf), cg), da))) -> new_esEs0(xy3001, xy4001, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(app(app(ty_@3, bd), be), bf)), bc)) -> new_esEs0(xy3000, xy4000, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(app(app(ty_@3, hh), baa), bab)), hg)) -> new_esEs0(xy3000, xy4000, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(app(app(ty_@3, bbb), bbc), bbd))) -> new_esEs0(xy3000, xy4000, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(app(app(ty_@3, fd), ff), fg)), ea)) -> new_esEs0(xy3001, xy4001, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(app(app(ty_@3, gf), gg), gh))) -> new_esEs0(xy3002, xy4002, gf, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xy3000, xy4000, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xy3001, xy4001, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(xy3001, xy4001, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(xy3002, xy4002, gf, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, eb), ec), ed), dh, ea) -> new_esEs0(xy3000, xy4000, eb, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Left(xy3000), Left(xy4000), app(app(ty_Either, bac), bad), hg) -> new_esEs1(xy3000, xy4000, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xy3000), Right(xy4000), bag, app(app(ty_Either, bbe), bbf)) -> new_esEs1(xy3000, xy4000, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xy3000), Left(xy4000), app(ty_Maybe, bae), hg) -> new_esEs2(xy3000, xy4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xy3000), Right(xy4000), bag, app(ty_Maybe, bbg)) -> new_esEs2(xy3000, xy4000, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Right(xy3000), Right(xy4000), bag, app(app(ty_@2, bah), bba)) -> new_esEs(xy3000, xy4000, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xy3000), Left(xy4000), app(app(ty_@2, he), hf), hg) -> new_esEs(xy3000, xy4000, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_Either, bac), bad)), hg)) -> new_esEs1(xy3000, xy4000, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(app(ty_Either, fh), ga)), ea)) -> new_esEs1(xy3001, xy4001, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_Either, bcf), bcg))) -> new_esEs1(xy3000, xy4000, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_Either, ee), ef)), dh), ea)) -> new_esEs1(xy3000, xy4000, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(app(ty_Either, db), dc))) -> new_esEs1(xy3001, xy4001, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(app(ty_Either, bg), bh)), bc)) -> new_esEs1(xy3000, xy4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(app(ty_Either, ha), hb))) -> new_esEs1(xy3002, xy4002, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(app(ty_Either, bbe), bbf))) -> new_esEs1(xy3000, xy4000, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(app(ty_Either, db), dc)) -> new_esEs1(xy3001, xy4001, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, bg), bh), bc) -> new_esEs1(xy3000, xy4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(app(ty_Either, ha), hb)) -> new_esEs1(xy3002, xy4002, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, ee), ef), dh, ea) -> new_esEs1(xy3000, xy4000, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(app(ty_Either, fh), ga), ea) -> new_esEs1(xy3001, xy4001, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_Maybe, eg)), dh), ea)) -> new_esEs2(xy3000, xy4000, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(ty_Maybe, dd))) -> new_esEs2(xy3001, xy4001, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(ty_Maybe, hc))) -> new_esEs2(xy3002, xy4002, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(ty_Maybe, ca)), bc)) -> new_esEs2(xy3000, xy4000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(ty_Maybe, bae)), hg)) -> new_esEs2(xy3000, xy4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(ty_Maybe, gb)), ea)) -> new_esEs2(xy3001, xy4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(ty_Maybe, bbg))) -> new_esEs2(xy3000, xy4000, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(ty_Maybe, bch))) -> new_esEs2(xy3000, xy4000, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), dh), app(app(ty_@2, gd), ge))) -> new_esEs(xy3002, xy4002, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, cc), app(app(ty_@2, cd), ce))) -> new_esEs(xy3001, xy4001, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, fa), app(app(ty_@2, fb), fc)), ea)) -> new_esEs(xy3001, xy4001, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(Left(xy3000), xy301), :(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_@2, he), hf)), hg)) -> new_esEs(xy3000, xy4000, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(Right(xy3000), xy301), :(Right(xy4000), xy401), app(app(ty_Either, bag), app(app(ty_@2, bah), bba))) -> new_esEs(xy3000, xy4000, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@3(xy3000, xy3001, xy3002), xy301), :(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_@2, df), dg)), dh), ea)) -> new_esEs(xy3000, xy4000, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(@2(xy3000, xy3001), xy301), :(@2(xy4000, xy4001), xy401), app(app(ty_@2, app(app(ty_@2, ba), bb)), bc)) -> new_esEs(xy3000, xy4000, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(Just(xy3000), xy301), :(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_@2, bca), bcb))) -> new_esEs(xy3000, xy4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(ty_Maybe, dd)) -> new_esEs2(xy3001, xy4001, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, ca), bc) -> new_esEs2(xy3000, xy4000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy3000, xy4000, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy3000, xy3001), @2(xy4000, xy4001), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy3001, xy4001, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(ty_Maybe, gb), ea) -> new_esEs2(xy3001, xy4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, eg), dh, ea) -> new_esEs2(xy3000, xy4000, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(xy3002, xy4002, hc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, app(app(ty_@2, fb), fc), ea) -> new_esEs(xy3001, xy4001, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, df), dg), dh, ea) -> new_esEs(xy3000, xy4000, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), fa, dh, app(app(ty_@2, gd), ge)) -> new_esEs(xy3002, xy4002, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba) -> new_isPrefixOf(xy31, xy41, ba) 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) -> new_isPrefixOf(xy31, xy41, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (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