/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 38 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 Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { 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 Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="elem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="elem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="elem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="any . (==)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="any ((==) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7[label="or . map ((==) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 8[label="or (map ((==) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9[label="foldr (||) False (map ((==) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];729[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 10[label="",style="solid", color="burlywood", weight=3]; 730[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 11[label="",style="solid", color="burlywood", weight=3]; 10[label="foldr (||) False (map ((==) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 11[label="foldr (||) False (map ((==) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12[label="foldr (||) False (((==) xv3 xv40) : map ((==) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 13[label="foldr (||) False []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 14 -> 110[label="",style="dashed", color="red", weight=0]; 14[label="(||) (==) xv3 xv40 foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];14 -> 111[label="",style="dashed", color="magenta", weight=3]; 14 -> 112[label="",style="dashed", color="magenta", weight=3]; 15[label="False",fontsize=16,color="green",shape="box"];111[label="(==) xv3 xv40",fontsize=16,color="burlywood",shape="triangle"];731[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];111 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 129[label="",style="solid", color="burlywood", weight=3]; 732[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];111 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 130[label="",style="solid", color="burlywood", weight=3]; 112 -> 9[label="",style="dashed", color="red", weight=0]; 112[label="foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];112 -> 131[label="",style="dashed", color="magenta", weight=3]; 110[label="(||) xv18 xv19",fontsize=16,color="burlywood",shape="triangle"];733[label="xv18/False",fontsize=10,color="white",style="solid",shape="box"];110 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 132[label="",style="solid", color="burlywood", weight=3]; 734[label="xv18/True",fontsize=10,color="white",style="solid",shape="box"];110 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 133[label="",style="solid", color="burlywood", weight=3]; 129[label="(==) xv30 : xv31 xv40",fontsize=16,color="burlywood",shape="box"];735[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];129 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 134[label="",style="solid", color="burlywood", weight=3]; 736[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];129 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 135[label="",style="solid", color="burlywood", weight=3]; 130[label="(==) [] xv40",fontsize=16,color="burlywood",shape="box"];737[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];130 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 136[label="",style="solid", color="burlywood", weight=3]; 738[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];130 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 137[label="",style="solid", color="burlywood", weight=3]; 131[label="xv41",fontsize=16,color="green",shape="box"];132[label="(||) False xv19",fontsize=16,color="black",shape="box"];132 -> 138[label="",style="solid", color="black", weight=3]; 133[label="(||) True xv19",fontsize=16,color="black",shape="box"];133 -> 139[label="",style="solid", color="black", weight=3]; 134[label="(==) xv30 : xv31 xv400 : xv401",fontsize=16,color="black",shape="box"];134 -> 140[label="",style="solid", color="black", weight=3]; 135[label="(==) xv30 : xv31 []",fontsize=16,color="black",shape="box"];135 -> 141[label="",style="solid", color="black", weight=3]; 136[label="(==) [] xv400 : xv401",fontsize=16,color="black",shape="box"];136 -> 142[label="",style="solid", color="black", weight=3]; 137[label="(==) [] []",fontsize=16,color="black",shape="box"];137 -> 143[label="",style="solid", color="black", weight=3]; 138[label="xv19",fontsize=16,color="green",shape="box"];139[label="True",fontsize=16,color="green",shape="box"];140 -> 148[label="",style="dashed", color="red", weight=0]; 140[label="xv30 == xv400 && xv31 == xv401",fontsize=16,color="magenta"];140 -> 149[label="",style="dashed", color="magenta", weight=3]; 140 -> 150[label="",style="dashed", color="magenta", weight=3]; 141[label="False",fontsize=16,color="green",shape="box"];142[label="False",fontsize=16,color="green",shape="box"];143[label="True",fontsize=16,color="green",shape="box"];149 -> 111[label="",style="dashed", color="red", weight=0]; 149[label="xv31 == xv401",fontsize=16,color="magenta"];149 -> 153[label="",style="dashed", color="magenta", weight=3]; 149 -> 154[label="",style="dashed", color="magenta", weight=3]; 150[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];739[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 155[label="",style="solid", color="blue", weight=3]; 740[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 156[label="",style="solid", color="blue", weight=3]; 741[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 157[label="",style="solid", color="blue", weight=3]; 742[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 158[label="",style="solid", color="blue", weight=3]; 743[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 159[label="",style="solid", color="blue", weight=3]; 744[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 160[label="",style="solid", color="blue", weight=3]; 745[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 161[label="",style="solid", color="blue", weight=3]; 746[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 162[label="",style="solid", color="blue", weight=3]; 747[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 163[label="",style="solid", color="blue", weight=3]; 748[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 164[label="",style="solid", color="blue", weight=3]; 749[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 165[label="",style="solid", color="blue", weight=3]; 750[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 166[label="",style="solid", color="blue", weight=3]; 751[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 167[label="",style="solid", color="blue", weight=3]; 752[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];150 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 168[label="",style="solid", color="blue", weight=3]; 148[label="xv24 && xv25",fontsize=16,color="burlywood",shape="triangle"];753[label="xv24/False",fontsize=10,color="white",style="solid",shape="box"];148 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 169[label="",style="solid", color="burlywood", weight=3]; 754[label="xv24/True",fontsize=10,color="white",style="solid",shape="box"];148 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 170[label="",style="solid", color="burlywood", weight=3]; 153[label="xv401",fontsize=16,color="green",shape="box"];154[label="xv31",fontsize=16,color="green",shape="box"];155[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];755[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];155 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 171[label="",style="solid", color="burlywood", weight=3]; 156[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];756[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];156 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 172[label="",style="solid", color="burlywood", weight=3]; 757[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];156 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 173[label="",style="solid", color="burlywood", weight=3]; 157[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];157 -> 174[label="",style="solid", color="black", weight=3]; 158[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];758[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];158 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 175[label="",style="solid", color="burlywood", weight=3]; 759[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];158 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 176[label="",style="solid", color="burlywood", weight=3]; 159[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];760[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];159 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 177[label="",style="solid", color="burlywood", weight=3]; 160[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];761[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];160 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 178[label="",style="solid", color="burlywood", weight=3]; 161[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];762[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];161 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 179[label="",style="solid", color="burlywood", weight=3]; 162[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];763[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];162 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 180[label="",style="solid", color="burlywood", weight=3]; 764[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];162 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 181[label="",style="solid", color="burlywood", weight=3]; 765[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];162 -> 765[label="",style="solid", color="burlywood", weight=9]; 765 -> 182[label="",style="solid", color="burlywood", weight=3]; 163[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];163 -> 183[label="",style="solid", color="black", weight=3]; 164[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];766[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];164 -> 766[label="",style="solid", color="burlywood", weight=9]; 766 -> 184[label="",style="solid", color="burlywood", weight=3]; 767[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];164 -> 767[label="",style="solid", color="burlywood", weight=9]; 767 -> 185[label="",style="solid", color="burlywood", weight=3]; 165[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];768[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];165 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 186[label="",style="solid", color="burlywood", weight=3]; 166 -> 111[label="",style="dashed", color="red", weight=0]; 166[label="xv30 == xv400",fontsize=16,color="magenta"];166 -> 187[label="",style="dashed", color="magenta", weight=3]; 166 -> 188[label="",style="dashed", color="magenta", weight=3]; 167[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];167 -> 189[label="",style="solid", color="black", weight=3]; 168[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];168 -> 190[label="",style="solid", color="black", weight=3]; 169[label="False && xv25",fontsize=16,color="black",shape="box"];169 -> 191[label="",style="solid", color="black", weight=3]; 170[label="True && xv25",fontsize=16,color="black",shape="box"];170 -> 192[label="",style="solid", color="black", weight=3]; 171[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];769[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];171 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 193[label="",style="solid", color="burlywood", weight=3]; 172[label="Left xv300 == xv400",fontsize=16,color="burlywood",shape="box"];770[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];172 -> 770[label="",style="solid", color="burlywood", weight=9]; 770 -> 194[label="",style="solid", color="burlywood", weight=3]; 771[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];172 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 195[label="",style="solid", color="burlywood", weight=3]; 173[label="Right xv300 == xv400",fontsize=16,color="burlywood",shape="box"];772[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];173 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 196[label="",style="solid", color="burlywood", weight=3]; 773[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];173 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 197[label="",style="solid", color="burlywood", weight=3]; 174[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];774[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];174 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 198[label="",style="solid", color="burlywood", weight=3]; 775[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];174 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 199[label="",style="solid", color="burlywood", weight=3]; 175[label="Nothing == xv400",fontsize=16,color="burlywood",shape="box"];776[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];175 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 200[label="",style="solid", color="burlywood", weight=3]; 777[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];175 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 201[label="",style="solid", color="burlywood", weight=3]; 176[label="Just xv300 == xv400",fontsize=16,color="burlywood",shape="box"];778[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];176 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 202[label="",style="solid", color="burlywood", weight=3]; 779[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];176 -> 779[label="",style="solid", color="burlywood", weight=9]; 779 -> 203[label="",style="solid", color="burlywood", weight=3]; 177[label="() == xv400",fontsize=16,color="burlywood",shape="box"];780[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];177 -> 780[label="",style="solid", color="burlywood", weight=9]; 780 -> 204[label="",style="solid", color="burlywood", weight=3]; 178[label="(xv300,xv301) == xv400",fontsize=16,color="burlywood",shape="box"];781[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];178 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 205[label="",style="solid", color="burlywood", weight=3]; 179[label="(xv300,xv301,xv302) == xv400",fontsize=16,color="burlywood",shape="box"];782[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];179 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 206[label="",style="solid", color="burlywood", weight=3]; 180[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];783[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];180 -> 783[label="",style="solid", color="burlywood", weight=9]; 783 -> 207[label="",style="solid", color="burlywood", weight=3]; 784[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];180 -> 784[label="",style="solid", color="burlywood", weight=9]; 784 -> 208[label="",style="solid", color="burlywood", weight=3]; 785[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];180 -> 785[label="",style="solid", color="burlywood", weight=9]; 785 -> 209[label="",style="solid", color="burlywood", weight=3]; 181[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];786[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];181 -> 786[label="",style="solid", color="burlywood", weight=9]; 786 -> 210[label="",style="solid", color="burlywood", weight=3]; 787[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];181 -> 787[label="",style="solid", color="burlywood", weight=9]; 787 -> 211[label="",style="solid", color="burlywood", weight=3]; 788[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];181 -> 788[label="",style="solid", color="burlywood", weight=9]; 788 -> 212[label="",style="solid", color="burlywood", weight=3]; 182[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];789[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];182 -> 789[label="",style="solid", color="burlywood", weight=9]; 789 -> 213[label="",style="solid", color="burlywood", weight=3]; 790[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];182 -> 790[label="",style="solid", color="burlywood", weight=9]; 790 -> 214[label="",style="solid", color="burlywood", weight=3]; 791[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];182 -> 791[label="",style="solid", color="burlywood", weight=9]; 791 -> 215[label="",style="solid", color="burlywood", weight=3]; 183[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];792[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];183 -> 792[label="",style="solid", color="burlywood", weight=9]; 792 -> 216[label="",style="solid", color="burlywood", weight=3]; 184[label="False == xv400",fontsize=16,color="burlywood",shape="box"];793[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];184 -> 793[label="",style="solid", color="burlywood", weight=9]; 793 -> 217[label="",style="solid", color="burlywood", weight=3]; 794[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];184 -> 794[label="",style="solid", color="burlywood", weight=9]; 794 -> 218[label="",style="solid", color="burlywood", weight=3]; 185[label="True == xv400",fontsize=16,color="burlywood",shape="box"];795[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];185 -> 795[label="",style="solid", color="burlywood", weight=9]; 795 -> 219[label="",style="solid", color="burlywood", weight=3]; 796[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];185 -> 796[label="",style="solid", color="burlywood", weight=9]; 796 -> 220[label="",style="solid", color="burlywood", weight=3]; 186[label="xv300 :% xv301 == xv400",fontsize=16,color="burlywood",shape="box"];797[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];186 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 221[label="",style="solid", color="burlywood", weight=3]; 187[label="xv400",fontsize=16,color="green",shape="box"];188[label="xv30",fontsize=16,color="green",shape="box"];189[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];798[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];189 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 222[label="",style="solid", color="burlywood", weight=3]; 190[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];799[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];190 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 223[label="",style="solid", color="burlywood", weight=3]; 191[label="False",fontsize=16,color="green",shape="box"];192[label="xv25",fontsize=16,color="green",shape="box"];193[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];193 -> 224[label="",style="solid", color="black", weight=3]; 194[label="Left xv300 == Left xv4000",fontsize=16,color="black",shape="box"];194 -> 225[label="",style="solid", color="black", weight=3]; 195[label="Left xv300 == Right xv4000",fontsize=16,color="black",shape="box"];195 -> 226[label="",style="solid", color="black", weight=3]; 196[label="Right xv300 == Left xv4000",fontsize=16,color="black",shape="box"];196 -> 227[label="",style="solid", color="black", weight=3]; 197[label="Right xv300 == Right xv4000",fontsize=16,color="black",shape="box"];197 -> 228[label="",style="solid", color="black", weight=3]; 198[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];800[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];198 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 229[label="",style="solid", color="burlywood", weight=3]; 801[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];198 -> 801[label="",style="solid", color="burlywood", weight=9]; 801 -> 230[label="",style="solid", color="burlywood", weight=3]; 199[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];802[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];199 -> 802[label="",style="solid", color="burlywood", weight=9]; 802 -> 231[label="",style="solid", color="burlywood", weight=3]; 803[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];199 -> 803[label="",style="solid", color="burlywood", weight=9]; 803 -> 232[label="",style="solid", color="burlywood", weight=3]; 200[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];200 -> 233[label="",style="solid", color="black", weight=3]; 201[label="Nothing == Just xv4000",fontsize=16,color="black",shape="box"];201 -> 234[label="",style="solid", color="black", weight=3]; 202[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];202 -> 235[label="",style="solid", color="black", weight=3]; 203[label="Just xv300 == Just xv4000",fontsize=16,color="black",shape="box"];203 -> 236[label="",style="solid", color="black", weight=3]; 204[label="() == ()",fontsize=16,color="black",shape="box"];204 -> 237[label="",style="solid", color="black", weight=3]; 205[label="(xv300,xv301) == (xv4000,xv4001)",fontsize=16,color="black",shape="box"];205 -> 238[label="",style="solid", color="black", weight=3]; 206[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)",fontsize=16,color="black",shape="box"];206 -> 239[label="",style="solid", color="black", weight=3]; 207[label="LT == LT",fontsize=16,color="black",shape="box"];207 -> 240[label="",style="solid", color="black", weight=3]; 208[label="LT == EQ",fontsize=16,color="black",shape="box"];208 -> 241[label="",style="solid", color="black", weight=3]; 209[label="LT == GT",fontsize=16,color="black",shape="box"];209 -> 242[label="",style="solid", color="black", weight=3]; 210[label="EQ == LT",fontsize=16,color="black",shape="box"];210 -> 243[label="",style="solid", color="black", weight=3]; 211[label="EQ == EQ",fontsize=16,color="black",shape="box"];211 -> 244[label="",style="solid", color="black", weight=3]; 212[label="EQ == GT",fontsize=16,color="black",shape="box"];212 -> 245[label="",style="solid", color="black", weight=3]; 213[label="GT == LT",fontsize=16,color="black",shape="box"];213 -> 246[label="",style="solid", color="black", weight=3]; 214[label="GT == EQ",fontsize=16,color="black",shape="box"];214 -> 247[label="",style="solid", color="black", weight=3]; 215[label="GT == GT",fontsize=16,color="black",shape="box"];215 -> 248[label="",style="solid", color="black", weight=3]; 216[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];804[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];216 -> 804[label="",style="solid", color="burlywood", weight=9]; 804 -> 249[label="",style="solid", color="burlywood", weight=3]; 217[label="False == False",fontsize=16,color="black",shape="box"];217 -> 250[label="",style="solid", color="black", weight=3]; 218[label="False == True",fontsize=16,color="black",shape="box"];218 -> 251[label="",style="solid", color="black", weight=3]; 219[label="True == False",fontsize=16,color="black",shape="box"];219 -> 252[label="",style="solid", color="black", weight=3]; 220[label="True == True",fontsize=16,color="black",shape="box"];220 -> 253[label="",style="solid", color="black", weight=3]; 221[label="xv300 :% xv301 == xv4000 :% xv4001",fontsize=16,color="black",shape="box"];221 -> 254[label="",style="solid", color="black", weight=3]; 222[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];805[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];222 -> 805[label="",style="solid", color="burlywood", weight=9]; 805 -> 255[label="",style="solid", color="burlywood", weight=3]; 223[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];806[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];223 -> 806[label="",style="solid", color="burlywood", weight=9]; 806 -> 256[label="",style="solid", color="burlywood", weight=3]; 224 -> 174[label="",style="dashed", color="red", weight=0]; 224[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];224 -> 257[label="",style="dashed", color="magenta", weight=3]; 224 -> 258[label="",style="dashed", color="magenta", weight=3]; 225[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];807[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 259[label="",style="solid", color="blue", weight=3]; 808[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 260[label="",style="solid", color="blue", weight=3]; 809[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 261[label="",style="solid", color="blue", weight=3]; 810[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 262[label="",style="solid", color="blue", weight=3]; 811[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 263[label="",style="solid", color="blue", weight=3]; 812[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 264[label="",style="solid", color="blue", weight=3]; 813[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 265[label="",style="solid", color="blue", weight=3]; 814[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 266[label="",style="solid", color="blue", weight=3]; 815[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 267[label="",style="solid", color="blue", weight=3]; 816[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 268[label="",style="solid", color="blue", weight=3]; 817[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 269[label="",style="solid", color="blue", weight=3]; 818[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 270[label="",style="solid", color="blue", weight=3]; 819[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 271[label="",style="solid", color="blue", weight=3]; 820[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 272[label="",style="solid", color="blue", weight=3]; 226[label="False",fontsize=16,color="green",shape="box"];227[label="False",fontsize=16,color="green",shape="box"];228[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];821[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 273[label="",style="solid", color="blue", weight=3]; 822[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 274[label="",style="solid", color="blue", weight=3]; 823[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 275[label="",style="solid", color="blue", weight=3]; 824[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 276[label="",style="solid", color="blue", weight=3]; 825[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 277[label="",style="solid", color="blue", weight=3]; 826[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 278[label="",style="solid", color="blue", weight=3]; 827[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 279[label="",style="solid", color="blue", weight=3]; 828[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 280[label="",style="solid", color="blue", weight=3]; 829[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 281[label="",style="solid", color="blue", weight=3]; 830[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 282[label="",style="solid", color="blue", weight=3]; 831[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 283[label="",style="solid", color="blue", weight=3]; 832[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 284[label="",style="solid", color="blue", weight=3]; 833[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 285[label="",style="solid", color="blue", weight=3]; 834[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 286[label="",style="solid", color="blue", weight=3]; 229[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];835[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];229 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 287[label="",style="solid", color="burlywood", weight=3]; 836[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];229 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 288[label="",style="solid", color="burlywood", weight=3]; 230[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];837[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];230 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 289[label="",style="solid", color="burlywood", weight=3]; 838[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];230 -> 838[label="",style="solid", color="burlywood", weight=9]; 838 -> 290[label="",style="solid", color="burlywood", weight=3]; 231[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];839[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];231 -> 839[label="",style="solid", color="burlywood", weight=9]; 839 -> 291[label="",style="solid", color="burlywood", weight=3]; 840[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];231 -> 840[label="",style="solid", color="burlywood", weight=9]; 840 -> 292[label="",style="solid", color="burlywood", weight=3]; 232[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];841[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];232 -> 841[label="",style="solid", color="burlywood", weight=9]; 841 -> 293[label="",style="solid", color="burlywood", weight=3]; 842[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];232 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 294[label="",style="solid", color="burlywood", weight=3]; 233[label="True",fontsize=16,color="green",shape="box"];234[label="False",fontsize=16,color="green",shape="box"];235[label="False",fontsize=16,color="green",shape="box"];236[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];843[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 295[label="",style="solid", color="blue", weight=3]; 844[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 296[label="",style="solid", color="blue", weight=3]; 845[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 297[label="",style="solid", color="blue", weight=3]; 846[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 298[label="",style="solid", color="blue", weight=3]; 847[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 299[label="",style="solid", color="blue", weight=3]; 848[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 300[label="",style="solid", color="blue", weight=3]; 849[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 301[label="",style="solid", color="blue", weight=3]; 850[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 302[label="",style="solid", color="blue", weight=3]; 851[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 303[label="",style="solid", color="blue", weight=3]; 852[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 304[label="",style="solid", color="blue", weight=3]; 853[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 305[label="",style="solid", color="blue", weight=3]; 854[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 306[label="",style="solid", color="blue", weight=3]; 855[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 307[label="",style="solid", color="blue", weight=3]; 856[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 308[label="",style="solid", color="blue", weight=3]; 237[label="True",fontsize=16,color="green",shape="box"];238 -> 148[label="",style="dashed", color="red", weight=0]; 238[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];238 -> 309[label="",style="dashed", color="magenta", weight=3]; 238 -> 310[label="",style="dashed", color="magenta", weight=3]; 239 -> 148[label="",style="dashed", color="red", weight=0]; 239[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];239 -> 311[label="",style="dashed", color="magenta", weight=3]; 239 -> 312[label="",style="dashed", color="magenta", weight=3]; 240[label="True",fontsize=16,color="green",shape="box"];241[label="False",fontsize=16,color="green",shape="box"];242[label="False",fontsize=16,color="green",shape="box"];243[label="False",fontsize=16,color="green",shape="box"];244[label="True",fontsize=16,color="green",shape="box"];245[label="False",fontsize=16,color="green",shape="box"];246[label="False",fontsize=16,color="green",shape="box"];247[label="False",fontsize=16,color="green",shape="box"];248[label="True",fontsize=16,color="green",shape="box"];249[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];249 -> 313[label="",style="solid", color="black", weight=3]; 250[label="True",fontsize=16,color="green",shape="box"];251[label="False",fontsize=16,color="green",shape="box"];252[label="False",fontsize=16,color="green",shape="box"];253[label="True",fontsize=16,color="green",shape="box"];254 -> 148[label="",style="dashed", color="red", weight=0]; 254[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];254 -> 314[label="",style="dashed", color="magenta", weight=3]; 254 -> 315[label="",style="dashed", color="magenta", weight=3]; 255[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];255 -> 316[label="",style="solid", color="black", weight=3]; 256[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];256 -> 317[label="",style="solid", color="black", weight=3]; 257[label="xv300",fontsize=16,color="green",shape="box"];258[label="xv4000",fontsize=16,color="green",shape="box"];259 -> 155[label="",style="dashed", color="red", weight=0]; 259[label="xv300 == xv4000",fontsize=16,color="magenta"];259 -> 318[label="",style="dashed", color="magenta", weight=3]; 259 -> 319[label="",style="dashed", color="magenta", weight=3]; 260 -> 156[label="",style="dashed", color="red", weight=0]; 260[label="xv300 == xv4000",fontsize=16,color="magenta"];260 -> 320[label="",style="dashed", 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369[label="",style="dashed", color="magenta", weight=3]; 285 -> 167[label="",style="dashed", color="red", weight=0]; 285[label="xv300 == xv4000",fontsize=16,color="magenta"];285 -> 370[label="",style="dashed", color="magenta", weight=3]; 285 -> 371[label="",style="dashed", color="magenta", weight=3]; 286 -> 168[label="",style="dashed", color="red", weight=0]; 286[label="xv300 == xv4000",fontsize=16,color="magenta"];286 -> 372[label="",style="dashed", color="magenta", weight=3]; 286 -> 373[label="",style="dashed", color="magenta", weight=3]; 287[label="primEqInt (Pos (Succ xv3000)) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];857[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];287 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 374[label="",style="solid", color="burlywood", weight=3]; 858[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];287 -> 858[label="",style="solid", color="burlywood", 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379[label="",style="solid", color="burlywood", weight=3]; 862[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];290 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 380[label="",style="solid", color="burlywood", weight=3]; 291[label="primEqInt (Neg (Succ xv3000)) (Pos xv4000)",fontsize=16,color="black",shape="box"];291 -> 381[label="",style="solid", color="black", weight=3]; 292[label="primEqInt (Neg (Succ xv3000)) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];863[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];292 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 382[label="",style="solid", color="burlywood", weight=3]; 864[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];292 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 383[label="",style="solid", color="burlywood", weight=3]; 293[label="primEqInt (Neg Zero) (Pos 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159[label="",style="dashed", color="red", weight=0]; 299[label="xv300 == xv4000",fontsize=16,color="magenta"];299 -> 396[label="",style="dashed", color="magenta", weight=3]; 299 -> 397[label="",style="dashed", color="magenta", weight=3]; 300 -> 160[label="",style="dashed", color="red", weight=0]; 300[label="xv300 == xv4000",fontsize=16,color="magenta"];300 -> 398[label="",style="dashed", color="magenta", weight=3]; 300 -> 399[label="",style="dashed", color="magenta", weight=3]; 301 -> 161[label="",style="dashed", color="red", weight=0]; 301[label="xv300 == xv4000",fontsize=16,color="magenta"];301 -> 400[label="",style="dashed", color="magenta", weight=3]; 301 -> 401[label="",style="dashed", color="magenta", weight=3]; 302 -> 162[label="",style="dashed", color="red", weight=0]; 302[label="xv300 == xv4000",fontsize=16,color="magenta"];302 -> 402[label="",style="dashed", color="magenta", weight=3]; 302 -> 403[label="",style="dashed", color="magenta", weight=3]; 303 -> 163[label="",style="dashed", color="red", weight=0]; 303[label="xv300 == xv4000",fontsize=16,color="magenta"];303 -> 404[label="",style="dashed", color="magenta", weight=3]; 303 -> 405[label="",style="dashed", color="magenta", weight=3]; 304 -> 164[label="",style="dashed", color="red", weight=0]; 304[label="xv300 == xv4000",fontsize=16,color="magenta"];304 -> 406[label="",style="dashed", color="magenta", weight=3]; 304 -> 407[label="",style="dashed", color="magenta", weight=3]; 305 -> 165[label="",style="dashed", color="red", weight=0]; 305[label="xv300 == xv4000",fontsize=16,color="magenta"];305 -> 408[label="",style="dashed", color="magenta", weight=3]; 305 -> 409[label="",style="dashed", color="magenta", weight=3]; 306 -> 111[label="",style="dashed", color="red", weight=0]; 306[label="xv300 == xv4000",fontsize=16,color="magenta"];306 -> 410[label="",style="dashed", color="magenta", weight=3]; 306 -> 411[label="",style="dashed", color="magenta", weight=3]; 307 -> 167[label="",style="dashed", color="red", weight=0]; 307[label="xv300 == xv4000",fontsize=16,color="magenta"];307 -> 412[label="",style="dashed", color="magenta", weight=3]; 307 -> 413[label="",style="dashed", color="magenta", weight=3]; 308 -> 168[label="",style="dashed", color="red", weight=0]; 308[label="xv300 == xv4000",fontsize=16,color="magenta"];308 -> 414[label="",style="dashed", color="magenta", weight=3]; 308 -> 415[label="",style="dashed", color="magenta", weight=3]; 309[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];869[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 416[label="",style="solid", color="blue", weight=3]; 870[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 417[label="",style="solid", color="blue", weight=3]; 871[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 418[label="",style="solid", color="blue", weight=3]; 872[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 419[label="",style="solid", color="blue", weight=3]; 873[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 420[label="",style="solid", color="blue", weight=3]; 874[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 421[label="",style="solid", color="blue", weight=3]; 875[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 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435[label="",style="solid", color="blue", weight=3]; 889[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 436[label="",style="solid", color="blue", weight=3]; 890[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 437[label="",style="solid", color="blue", weight=3]; 891[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 438[label="",style="solid", color="blue", weight=3]; 892[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 439[label="",style="solid", color="blue", weight=3]; 893[label="== :: (Ratio a) -> (Ratio a) -> 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color="magenta", weight=3]; 311 -> 445[label="",style="dashed", color="magenta", weight=3]; 312[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];897[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 446[label="",style="solid", color="blue", weight=3]; 898[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 447[label="",style="solid", color="blue", weight=3]; 899[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 448[label="",style="solid", color="blue", weight=3]; 900[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 449[label="",style="solid", color="blue", weight=3]; 901[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 450[label="",style="solid", color="blue", weight=3]; 902[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 451[label="",style="solid", color="blue", weight=3]; 903[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 452[label="",style="solid", color="blue", weight=3]; 904[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 453[label="",style="solid", color="blue", weight=3]; 905[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 454[label="",style="solid", color="blue", weight=3]; 906[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 455[label="",style="solid", color="blue", weight=3]; 907[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 456[label="",style="solid", color="blue", weight=3]; 908[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 457[label="",style="solid", color="blue", weight=3]; 909[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 458[label="",style="solid", color="blue", weight=3]; 910[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];312 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 459[label="",style="solid", color="blue", weight=3]; 313 -> 157[label="",style="dashed", color="red", weight=0]; 313[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];313 -> 460[label="",style="dashed", color="magenta", weight=3]; 313 -> 461[label="",style="dashed", color="magenta", weight=3]; 314[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];911[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 462[label="",style="solid", color="blue", weight=3]; 912[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 463[label="",style="solid", color="blue", weight=3]; 315[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];913[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 464[label="",style="solid", color="blue", weight=3]; 914[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 465[label="",style="solid", color="blue", weight=3]; 316[label="primEqNat xv300 xv4000",fontsize=16,color="burlywood",shape="triangle"];915[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];316 -> 915[label="",style="solid", color="burlywood", weight=9]; 915 -> 466[label="",style="solid", color="burlywood", weight=3]; 916[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];316 -> 916[label="",style="solid", color="burlywood", weight=9]; 916 -> 467[label="",style="solid", color="burlywood", weight=3]; 317 -> 157[label="",style="dashed", color="red", weight=0]; 317[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];317 -> 468[label="",style="dashed", color="magenta", weight=3]; 317 -> 469[label="",style="dashed", color="magenta", weight=3]; 318[label="xv300",fontsize=16,color="green",shape="box"];319[label="xv4000",fontsize=16,color="green",shape="box"];320[label="xv300",fontsize=16,color="green",shape="box"];321[label="xv4000",fontsize=16,color="green",shape="box"];322[label="xv300",fontsize=16,color="green",shape="box"];323[label="xv4000",fontsize=16,color="green",shape="box"];324[label="xv300",fontsize=16,color="green",shape="box"];325[label="xv4000",fontsize=16,color="green",shape="box"];326[label="xv300",fontsize=16,color="green",shape="box"];327[label="xv4000",fontsize=16,color="green",shape="box"];328[label="xv300",fontsize=16,color="green",shape="box"];329[label="xv4000",fontsize=16,color="green",shape="box"];330[label="xv300",fontsize=16,color="green",shape="box"];331[label="xv4000",fontsize=16,color="green",shape="box"];332[label="xv300",fontsize=16,color="green",shape="box"];333[label="xv4000",fontsize=16,color="green",shape="box"];334[label="xv300",fontsize=16,color="green",shape="box"];335[label="xv4000",fontsize=16,color="green",shape="box"];336[label="xv300",fontsize=16,color="green",shape="box"];337[label="xv4000",fontsize=16,color="green",shape="box"];338[label="xv300",fontsize=16,color="green",shape="box"];339[label="xv4000",fontsize=16,color="green",shape="box"];340[label="xv4000",fontsize=16,color="green",shape="box"];341[label="xv300",fontsize=16,color="green",shape="box"];342[label="xv300",fontsize=16,color="green",shape="box"];343[label="xv4000",fontsize=16,color="green",shape="box"];344[label="xv300",fontsize=16,color="green",shape="box"];345[label="xv4000",fontsize=16,color="green",shape="box"];346[label="xv300",fontsize=16,color="green",shape="box"];347[label="xv4000",fontsize=16,color="green",shape="box"];348[label="xv300",fontsize=16,color="green",shape="box"];349[label="xv4000",fontsize=16,color="green",shape="box"];350[label="xv300",fontsize=16,color="green",shape="box"];351[label="xv4000",fontsize=16,color="green",shape="box"];352[label="xv300",fontsize=16,color="green",shape="box"];353[label="xv4000",fontsize=16,color="green",shape="box"];354[label="xv300",fontsize=16,color="green",shape="box"];355[label="xv4000",fontsize=16,color="green",shape="box"];356[label="xv300",fontsize=16,color="green",shape="box"];357[label="xv4000",fontsize=16,color="green",shape="box"];358[label="xv300",fontsize=16,color="green",shape="box"];359[label="xv4000",fontsize=16,color="green",shape="box"];360[label="xv300",fontsize=16,color="green",shape="box"];361[label="xv4000",fontsize=16,color="green",shape="box"];362[label="xv300",fontsize=16,color="green",shape="box"];363[label="xv4000",fontsize=16,color="green",shape="box"];364[label="xv300",fontsize=16,color="green",shape="box"];365[label="xv4000",fontsize=16,color="green",shape="box"];366[label="xv300",fontsize=16,color="green",shape="box"];367[label="xv4000",fontsize=16,color="green",shape="box"];368[label="xv4000",fontsize=16,color="green",shape="box"];369[label="xv300",fontsize=16,color="green",shape="box"];370[label="xv300",fontsize=16,color="green",shape="box"];371[label="xv4000",fontsize=16,color="green",shape="box"];372[label="xv300",fontsize=16,color="green",shape="box"];373[label="xv4000",fontsize=16,color="green",shape="box"];374[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];374 -> 470[label="",style="solid", color="black", weight=3]; 375[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];375 -> 471[label="",style="solid", color="black", weight=3]; 376[label="False",fontsize=16,color="green",shape="box"];377[label="primEqInt (Pos Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];377 -> 472[label="",style="solid", color="black", weight=3]; 378[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];378 -> 473[label="",style="solid", color="black", weight=3]; 379[label="primEqInt (Pos Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];379 -> 474[label="",style="solid", color="black", weight=3]; 380[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];380 -> 475[label="",style="solid", color="black", weight=3]; 381[label="False",fontsize=16,color="green",shape="box"];382[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];382 -> 476[label="",style="solid", color="black", weight=3]; 383[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];383 -> 477[label="",style="solid", color="black", weight=3]; 384[label="primEqInt (Neg Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];384 -> 478[label="",style="solid", color="black", weight=3]; 385[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];385 -> 479[label="",style="solid", color="black", weight=3]; 386[label="primEqInt (Neg Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];386 -> 480[label="",style="solid", color="black", weight=3]; 387[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];387 -> 481[label="",style="solid", color="black", weight=3]; 388[label="xv300",fontsize=16,color="green",shape="box"];389[label="xv4000",fontsize=16,color="green",shape="box"];390[label="xv300",fontsize=16,color="green",shape="box"];391[label="xv4000",fontsize=16,color="green",shape="box"];392[label="xv300",fontsize=16,color="green",shape="box"];393[label="xv4000",fontsize=16,color="green",shape="box"];394[label="xv300",fontsize=16,color="green",shape="box"];395[label="xv4000",fontsize=16,color="green",shape="box"];396[label="xv300",fontsize=16,color="green",shape="box"];397[label="xv4000",fontsize=16,color="green",shape="box"];398[label="xv300",fontsize=16,color="green",shape="box"];399[label="xv4000",fontsize=16,color="green",shape="box"];400[label="xv300",fontsize=16,color="green",shape="box"];401[label="xv4000",fontsize=16,color="green",shape="box"];402[label="xv300",fontsize=16,color="green",shape="box"];403[label="xv4000",fontsize=16,color="green",shape="box"];404[label="xv300",fontsize=16,color="green",shape="box"];405[label="xv4000",fontsize=16,color="green",shape="box"];406[label="xv300",fontsize=16,color="green",shape="box"];407[label="xv4000",fontsize=16,color="green",shape="box"];408[label="xv300",fontsize=16,color="green",shape="box"];409[label="xv4000",fontsize=16,color="green",shape="box"];410[label="xv4000",fontsize=16,color="green",shape="box"];411[label="xv300",fontsize=16,color="green",shape="box"];412[label="xv300",fontsize=16,color="green",shape="box"];413[label="xv4000",fontsize=16,color="green",shape="box"];414[label="xv300",fontsize=16,color="green",shape="box"];415[label="xv4000",fontsize=16,color="green",shape="box"];416 -> 155[label="",style="dashed", color="red", weight=0]; 416[label="xv301 == xv4001",fontsize=16,color="magenta"];416 -> 482[label="",style="dashed", color="magenta", weight=3]; 416 -> 483[label="",style="dashed", color="magenta", weight=3]; 417 -> 156[label="",style="dashed", color="red", weight=0]; 417[label="xv301 == xv4001",fontsize=16,color="magenta"];417 -> 484[label="",style="dashed", color="magenta", weight=3]; 417 -> 485[label="",style="dashed", color="magenta", weight=3]; 418 -> 157[label="",style="dashed", color="red", weight=0]; 418[label="xv301 == xv4001",fontsize=16,color="magenta"];418 -> 486[label="",style="dashed", color="magenta", weight=3]; 418 -> 487[label="",style="dashed", color="magenta", weight=3]; 419 -> 158[label="",style="dashed", color="red", weight=0]; 419[label="xv301 == xv4001",fontsize=16,color="magenta"];419 -> 488[label="",style="dashed", color="magenta", weight=3]; 419 -> 489[label="",style="dashed", color="magenta", weight=3]; 420 -> 159[label="",style="dashed", color="red", weight=0]; 420[label="xv301 == xv4001",fontsize=16,color="magenta"];420 -> 490[label="",style="dashed", color="magenta", weight=3]; 420 -> 491[label="",style="dashed", color="magenta", weight=3]; 421 -> 160[label="",style="dashed", color="red", weight=0]; 421[label="xv301 == xv4001",fontsize=16,color="magenta"];421 -> 492[label="",style="dashed", color="magenta", weight=3]; 421 -> 493[label="",style="dashed", color="magenta", weight=3]; 422 -> 161[label="",style="dashed", color="red", weight=0]; 422[label="xv301 == xv4001",fontsize=16,color="magenta"];422 -> 494[label="",style="dashed", color="magenta", weight=3]; 422 -> 495[label="",style="dashed", color="magenta", weight=3]; 423 -> 162[label="",style="dashed", color="red", weight=0]; 423[label="xv301 == xv4001",fontsize=16,color="magenta"];423 -> 496[label="",style="dashed", color="magenta", weight=3]; 423 -> 497[label="",style="dashed", color="magenta", weight=3]; 424 -> 163[label="",style="dashed", color="red", weight=0]; 424[label="xv301 == xv4001",fontsize=16,color="magenta"];424 -> 498[label="",style="dashed", color="magenta", weight=3]; 424 -> 499[label="",style="dashed", color="magenta", weight=3]; 425 -> 164[label="",style="dashed", color="red", weight=0]; 425[label="xv301 == xv4001",fontsize=16,color="magenta"];425 -> 500[label="",style="dashed", color="magenta", weight=3]; 425 -> 501[label="",style="dashed", color="magenta", weight=3]; 426 -> 165[label="",style="dashed", color="red", weight=0]; 426[label="xv301 == xv4001",fontsize=16,color="magenta"];426 -> 502[label="",style="dashed", color="magenta", weight=3]; 426 -> 503[label="",style="dashed", color="magenta", weight=3]; 427 -> 111[label="",style="dashed", color="red", weight=0]; 427[label="xv301 == xv4001",fontsize=16,color="magenta"];427 -> 504[label="",style="dashed", color="magenta", weight=3]; 427 -> 505[label="",style="dashed", color="magenta", weight=3]; 428 -> 167[label="",style="dashed", color="red", weight=0]; 428[label="xv301 == xv4001",fontsize=16,color="magenta"];428 -> 506[label="",style="dashed", color="magenta", weight=3]; 428 -> 507[label="",style="dashed", color="magenta", weight=3]; 429 -> 168[label="",style="dashed", color="red", weight=0]; 429[label="xv301 == xv4001",fontsize=16,color="magenta"];429 -> 508[label="",style="dashed", color="magenta", weight=3]; 429 -> 509[label="",style="dashed", color="magenta", weight=3]; 430 -> 155[label="",style="dashed", color="red", weight=0]; 430[label="xv300 == xv4000",fontsize=16,color="magenta"];430 -> 510[label="",style="dashed", color="magenta", weight=3]; 430 -> 511[label="",style="dashed", color="magenta", weight=3]; 431 -> 156[label="",style="dashed", color="red", weight=0]; 431[label="xv300 == xv4000",fontsize=16,color="magenta"];431 -> 512[label="",style="dashed", color="magenta", weight=3]; 431 -> 513[label="",style="dashed", color="magenta", weight=3]; 432 -> 157[label="",style="dashed", color="red", weight=0]; 432[label="xv300 == xv4000",fontsize=16,color="magenta"];432 -> 514[label="",style="dashed", color="magenta", weight=3]; 432 -> 515[label="",style="dashed", color="magenta", weight=3]; 433 -> 158[label="",style="dashed", color="red", weight=0]; 433[label="xv300 == xv4000",fontsize=16,color="magenta"];433 -> 516[label="",style="dashed", color="magenta", weight=3]; 433 -> 517[label="",style="dashed", color="magenta", weight=3]; 434 -> 159[label="",style="dashed", color="red", weight=0]; 434[label="xv300 == xv4000",fontsize=16,color="magenta"];434 -> 518[label="",style="dashed", color="magenta", weight=3]; 434 -> 519[label="",style="dashed", color="magenta", weight=3]; 435 -> 160[label="",style="dashed", color="red", weight=0]; 435[label="xv300 == xv4000",fontsize=16,color="magenta"];435 -> 520[label="",style="dashed", color="magenta", weight=3]; 435 -> 521[label="",style="dashed", color="magenta", weight=3]; 436 -> 161[label="",style="dashed", color="red", weight=0]; 436[label="xv300 == xv4000",fontsize=16,color="magenta"];436 -> 522[label="",style="dashed", color="magenta", weight=3]; 436 -> 523[label="",style="dashed", color="magenta", weight=3]; 437 -> 162[label="",style="dashed", color="red", weight=0]; 437[label="xv300 == xv4000",fontsize=16,color="magenta"];437 -> 524[label="",style="dashed", color="magenta", weight=3]; 437 -> 525[label="",style="dashed", color="magenta", weight=3]; 438 -> 163[label="",style="dashed", color="red", weight=0]; 438[label="xv300 == xv4000",fontsize=16,color="magenta"];438 -> 526[label="",style="dashed", color="magenta", weight=3]; 438 -> 527[label="",style="dashed", color="magenta", weight=3]; 439 -> 164[label="",style="dashed", color="red", weight=0]; 439[label="xv300 == xv4000",fontsize=16,color="magenta"];439 -> 528[label="",style="dashed", color="magenta", weight=3]; 439 -> 529[label="",style="dashed", color="magenta", weight=3]; 440 -> 165[label="",style="dashed", color="red", weight=0]; 440[label="xv300 == xv4000",fontsize=16,color="magenta"];440 -> 530[label="",style="dashed", color="magenta", weight=3]; 440 -> 531[label="",style="dashed", color="magenta", weight=3]; 441 -> 111[label="",style="dashed", color="red", weight=0]; 441[label="xv300 == xv4000",fontsize=16,color="magenta"];441 -> 532[label="",style="dashed", color="magenta", weight=3]; 441 -> 533[label="",style="dashed", color="magenta", weight=3]; 442 -> 167[label="",style="dashed", color="red", weight=0]; 442[label="xv300 == xv4000",fontsize=16,color="magenta"];442 -> 534[label="",style="dashed", color="magenta", weight=3]; 442 -> 535[label="",style="dashed", color="magenta", weight=3]; 443 -> 168[label="",style="dashed", color="red", weight=0]; 443[label="xv300 == xv4000",fontsize=16,color="magenta"];443 -> 536[label="",style="dashed", color="magenta", weight=3]; 443 -> 537[label="",style="dashed", color="magenta", weight=3]; 444[label="xv302 == xv4002",fontsize=16,color="blue",shape="box"];917[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 538[label="",style="solid", color="blue", weight=3]; 918[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 539[label="",style="solid", color="blue", weight=3]; 919[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 540[label="",style="solid", color="blue", weight=3]; 920[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 541[label="",style="solid", color="blue", weight=3]; 921[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 542[label="",style="solid", color="blue", weight=3]; 922[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 543[label="",style="solid", color="blue", weight=3]; 923[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 544[label="",style="solid", color="blue", weight=3]; 924[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 545[label="",style="solid", color="blue", weight=3]; 925[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 546[label="",style="solid", color="blue", weight=3]; 926[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 547[label="",style="solid", color="blue", weight=3]; 927[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 548[label="",style="solid", color="blue", weight=3]; 928[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 549[label="",style="solid", color="blue", weight=3]; 929[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 550[label="",style="solid", color="blue", weight=3]; 930[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 551[label="",style="solid", color="blue", weight=3]; 445[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];931[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 552[label="",style="solid", color="blue", weight=3]; 932[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 553[label="",style="solid", color="blue", weight=3]; 933[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 554[label="",style="solid", color="blue", weight=3]; 934[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 555[label="",style="solid", color="blue", weight=3]; 935[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 556[label="",style="solid", color="blue", weight=3]; 936[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 557[label="",style="solid", color="blue", weight=3]; 937[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 558[label="",style="solid", color="blue", weight=3]; 938[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 559[label="",style="solid", color="blue", weight=3]; 939[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 560[label="",style="solid", color="blue", weight=3]; 940[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 561[label="",style="solid", color="blue", weight=3]; 941[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 562[label="",style="solid", color="blue", weight=3]; 942[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 563[label="",style="solid", color="blue", weight=3]; 943[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 564[label="",style="solid", color="blue", weight=3]; 944[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 944[label="",style="solid", color="blue", weight=9]; 944 -> 565[label="",style="solid", color="blue", weight=3]; 446 -> 155[label="",style="dashed", color="red", weight=0]; 446[label="xv300 == xv4000",fontsize=16,color="magenta"];446 -> 566[label="",style="dashed", color="magenta", weight=3]; 446 -> 567[label="",style="dashed", color="magenta", weight=3]; 447 -> 156[label="",style="dashed", color="red", weight=0]; 447[label="xv300 == xv4000",fontsize=16,color="magenta"];447 -> 568[label="",style="dashed", color="magenta", weight=3]; 447 -> 569[label="",style="dashed", color="magenta", weight=3]; 448 -> 157[label="",style="dashed", color="red", weight=0]; 448[label="xv300 == 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xv4000",fontsize=16,color="magenta"];452 -> 578[label="",style="dashed", color="magenta", weight=3]; 452 -> 579[label="",style="dashed", color="magenta", weight=3]; 453 -> 162[label="",style="dashed", color="red", weight=0]; 453[label="xv300 == xv4000",fontsize=16,color="magenta"];453 -> 580[label="",style="dashed", color="magenta", weight=3]; 453 -> 581[label="",style="dashed", color="magenta", weight=3]; 454 -> 163[label="",style="dashed", color="red", weight=0]; 454[label="xv300 == xv4000",fontsize=16,color="magenta"];454 -> 582[label="",style="dashed", color="magenta", weight=3]; 454 -> 583[label="",style="dashed", color="magenta", weight=3]; 455 -> 164[label="",style="dashed", color="red", weight=0]; 455[label="xv300 == xv4000",fontsize=16,color="magenta"];455 -> 584[label="",style="dashed", color="magenta", weight=3]; 455 -> 585[label="",style="dashed", color="magenta", weight=3]; 456 -> 165[label="",style="dashed", color="red", weight=0]; 456[label="xv300 == xv4000",fontsize=16,color="magenta"];456 -> 586[label="",style="dashed", color="magenta", weight=3]; 456 -> 587[label="",style="dashed", color="magenta", weight=3]; 457 -> 111[label="",style="dashed", color="red", weight=0]; 457[label="xv300 == xv4000",fontsize=16,color="magenta"];457 -> 588[label="",style="dashed", color="magenta", weight=3]; 457 -> 589[label="",style="dashed", color="magenta", weight=3]; 458 -> 167[label="",style="dashed", color="red", weight=0]; 458[label="xv300 == xv4000",fontsize=16,color="magenta"];458 -> 590[label="",style="dashed", color="magenta", weight=3]; 458 -> 591[label="",style="dashed", color="magenta", weight=3]; 459 -> 168[label="",style="dashed", color="red", weight=0]; 459[label="xv300 == xv4000",fontsize=16,color="magenta"];459 -> 592[label="",style="dashed", color="magenta", weight=3]; 459 -> 593[label="",style="dashed", color="magenta", weight=3]; 460[label="xv300 * xv4001",fontsize=16,color="black",shape="triangle"];460 -> 594[label="",style="solid", color="black", weight=3]; 461 -> 460[label="",style="dashed", color="red", weight=0]; 461[label="xv301 * xv4000",fontsize=16,color="magenta"];461 -> 595[label="",style="dashed", color="magenta", weight=3]; 461 -> 596[label="",style="dashed", color="magenta", weight=3]; 462 -> 155[label="",style="dashed", color="red", weight=0]; 462[label="xv301 == xv4001",fontsize=16,color="magenta"];462 -> 597[label="",style="dashed", color="magenta", weight=3]; 462 -> 598[label="",style="dashed", color="magenta", weight=3]; 463 -> 157[label="",style="dashed", color="red", weight=0]; 463[label="xv301 == xv4001",fontsize=16,color="magenta"];463 -> 599[label="",style="dashed", color="magenta", weight=3]; 463 -> 600[label="",style="dashed", color="magenta", weight=3]; 464 -> 155[label="",style="dashed", color="red", weight=0]; 464[label="xv300 == xv4000",fontsize=16,color="magenta"];464 -> 601[label="",style="dashed", color="magenta", weight=3]; 464 -> 602[label="",style="dashed", color="magenta", weight=3]; 465 -> 157[label="",style="dashed", color="red", weight=0]; 465[label="xv300 == xv4000",fontsize=16,color="magenta"];465 -> 603[label="",style="dashed", color="magenta", weight=3]; 465 -> 604[label="",style="dashed", color="magenta", weight=3]; 466[label="primEqNat (Succ xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];945[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];466 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 605[label="",style="solid", color="burlywood", weight=3]; 946[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];466 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 606[label="",style="solid", color="burlywood", weight=3]; 467[label="primEqNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];947[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];467 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 607[label="",style="solid", color="burlywood", weight=3]; 948[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];467 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 608[label="",style="solid", color="burlywood", weight=3]; 468 -> 460[label="",style="dashed", color="red", weight=0]; 468[label="xv300 * xv4001",fontsize=16,color="magenta"];468 -> 609[label="",style="dashed", color="magenta", weight=3]; 468 -> 610[label="",style="dashed", color="magenta", weight=3]; 469 -> 460[label="",style="dashed", color="red", weight=0]; 469[label="xv301 * xv4000",fontsize=16,color="magenta"];469 -> 611[label="",style="dashed", color="magenta", weight=3]; 469 -> 612[label="",style="dashed", color="magenta", weight=3]; 470 -> 316[label="",style="dashed", color="red", weight=0]; 470[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];470 -> 613[label="",style="dashed", color="magenta", weight=3]; 470 -> 614[label="",style="dashed", color="magenta", weight=3]; 471[label="False",fontsize=16,color="green",shape="box"];472[label="False",fontsize=16,color="green",shape="box"];473[label="True",fontsize=16,color="green",shape="box"];474[label="False",fontsize=16,color="green",shape="box"];475[label="True",fontsize=16,color="green",shape="box"];476 -> 316[label="",style="dashed", color="red", weight=0]; 476[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];476 -> 615[label="",style="dashed", color="magenta", weight=3]; 476 -> 616[label="",style="dashed", color="magenta", weight=3]; 477[label="False",fontsize=16,color="green",shape="box"];478[label="False",fontsize=16,color="green",shape="box"];479[label="True",fontsize=16,color="green",shape="box"];480[label="False",fontsize=16,color="green",shape="box"];481[label="True",fontsize=16,color="green",shape="box"];482[label="xv301",fontsize=16,color="green",shape="box"];483[label="xv4001",fontsize=16,color="green",shape="box"];484[label="xv301",fontsize=16,color="green",shape="box"];485[label="xv4001",fontsize=16,color="green",shape="box"];486[label="xv301",fontsize=16,color="green",shape="box"];487[label="xv4001",fontsize=16,color="green",shape="box"];488[label="xv301",fontsize=16,color="green",shape="box"];489[label="xv4001",fontsize=16,color="green",shape="box"];490[label="xv301",fontsize=16,color="green",shape="box"];491[label="xv4001",fontsize=16,color="green",shape="box"];492[label="xv301",fontsize=16,color="green",shape="box"];493[label="xv4001",fontsize=16,color="green",shape="box"];494[label="xv301",fontsize=16,color="green",shape="box"];495[label="xv4001",fontsize=16,color="green",shape="box"];496[label="xv301",fontsize=16,color="green",shape="box"];497[label="xv4001",fontsize=16,color="green",shape="box"];498[label="xv301",fontsize=16,color="green",shape="box"];499[label="xv4001",fontsize=16,color="green",shape="box"];500[label="xv301",fontsize=16,color="green",shape="box"];501[label="xv4001",fontsize=16,color="green",shape="box"];502[label="xv301",fontsize=16,color="green",shape="box"];503[label="xv4001",fontsize=16,color="green",shape="box"];504[label="xv4001",fontsize=16,color="green",shape="box"];505[label="xv301",fontsize=16,color="green",shape="box"];506[label="xv301",fontsize=16,color="green",shape="box"];507[label="xv4001",fontsize=16,color="green",shape="box"];508[label="xv301",fontsize=16,color="green",shape="box"];509[label="xv4001",fontsize=16,color="green",shape="box"];510[label="xv300",fontsize=16,color="green",shape="box"];511[label="xv4000",fontsize=16,color="green",shape="box"];512[label="xv300",fontsize=16,color="green",shape="box"];513[label="xv4000",fontsize=16,color="green",shape="box"];514[label="xv300",fontsize=16,color="green",shape="box"];515[label="xv4000",fontsize=16,color="green",shape="box"];516[label="xv300",fontsize=16,color="green",shape="box"];517[label="xv4000",fontsize=16,color="green",shape="box"];518[label="xv300",fontsize=16,color="green",shape="box"];519[label="xv4000",fontsize=16,color="green",shape="box"];520[label="xv300",fontsize=16,color="green",shape="box"];521[label="xv4000",fontsize=16,color="green",shape="box"];522[label="xv300",fontsize=16,color="green",shape="box"];523[label="xv4000",fontsize=16,color="green",shape="box"];524[label="xv300",fontsize=16,color="green",shape="box"];525[label="xv4000",fontsize=16,color="green",shape="box"];526[label="xv300",fontsize=16,color="green",shape="box"];527[label="xv4000",fontsize=16,color="green",shape="box"];528[label="xv300",fontsize=16,color="green",shape="box"];529[label="xv4000",fontsize=16,color="green",shape="box"];530[label="xv300",fontsize=16,color="green",shape="box"];531[label="xv4000",fontsize=16,color="green",shape="box"];532[label="xv4000",fontsize=16,color="green",shape="box"];533[label="xv300",fontsize=16,color="green",shape="box"];534[label="xv300",fontsize=16,color="green",shape="box"];535[label="xv4000",fontsize=16,color="green",shape="box"];536[label="xv300",fontsize=16,color="green",shape="box"];537[label="xv4000",fontsize=16,color="green",shape="box"];538 -> 155[label="",style="dashed", color="red", weight=0]; 538[label="xv302 == xv4002",fontsize=16,color="magenta"];538 -> 617[label="",style="dashed", color="magenta", weight=3]; 538 -> 618[label="",style="dashed", color="magenta", weight=3]; 539 -> 156[label="",style="dashed", color="red", weight=0]; 539[label="xv302 == xv4002",fontsize=16,color="magenta"];539 -> 619[label="",style="dashed", color="magenta", weight=3]; 539 -> 620[label="",style="dashed", color="magenta", weight=3]; 540 -> 157[label="",style="dashed", color="red", weight=0]; 540[label="xv302 == xv4002",fontsize=16,color="magenta"];540 -> 621[label="",style="dashed", color="magenta", weight=3]; 540 -> 622[label="",style="dashed", color="magenta", weight=3]; 541 -> 158[label="",style="dashed", color="red", weight=0]; 541[label="xv302 == xv4002",fontsize=16,color="magenta"];541 -> 623[label="",style="dashed", color="magenta", weight=3]; 541 -> 624[label="",style="dashed", color="magenta", weight=3]; 542 -> 159[label="",style="dashed", color="red", weight=0]; 542[label="xv302 == xv4002",fontsize=16,color="magenta"];542 -> 625[label="",style="dashed", color="magenta", weight=3]; 542 -> 626[label="",style="dashed", color="magenta", weight=3]; 543 -> 160[label="",style="dashed", color="red", weight=0]; 543[label="xv302 == xv4002",fontsize=16,color="magenta"];543 -> 627[label="",style="dashed", color="magenta", weight=3]; 543 -> 628[label="",style="dashed", color="magenta", weight=3]; 544 -> 161[label="",style="dashed", color="red", weight=0]; 544[label="xv302 == xv4002",fontsize=16,color="magenta"];544 -> 629[label="",style="dashed", color="magenta", weight=3]; 544 -> 630[label="",style="dashed", color="magenta", weight=3]; 545 -> 162[label="",style="dashed", color="red", weight=0]; 545[label="xv302 == xv4002",fontsize=16,color="magenta"];545 -> 631[label="",style="dashed", color="magenta", weight=3]; 545 -> 632[label="",style="dashed", color="magenta", weight=3]; 546 -> 163[label="",style="dashed", color="red", weight=0]; 546[label="xv302 == xv4002",fontsize=16,color="magenta"];546 -> 633[label="",style="dashed", color="magenta", weight=3]; 546 -> 634[label="",style="dashed", color="magenta", weight=3]; 547 -> 164[label="",style="dashed", color="red", weight=0]; 547[label="xv302 == xv4002",fontsize=16,color="magenta"];547 -> 635[label="",style="dashed", color="magenta", weight=3]; 547 -> 636[label="",style="dashed", color="magenta", weight=3]; 548 -> 165[label="",style="dashed", color="red", weight=0]; 548[label="xv302 == xv4002",fontsize=16,color="magenta"];548 -> 637[label="",style="dashed", color="magenta", weight=3]; 548 -> 638[label="",style="dashed", color="magenta", weight=3]; 549 -> 111[label="",style="dashed", color="red", weight=0]; 549[label="xv302 == xv4002",fontsize=16,color="magenta"];549 -> 639[label="",style="dashed", color="magenta", weight=3]; 549 -> 640[label="",style="dashed", color="magenta", weight=3]; 550 -> 167[label="",style="dashed", color="red", weight=0]; 550[label="xv302 == xv4002",fontsize=16,color="magenta"];550 -> 641[label="",style="dashed", color="magenta", weight=3]; 550 -> 642[label="",style="dashed", color="magenta", weight=3]; 551 -> 168[label="",style="dashed", color="red", weight=0]; 551[label="xv302 == xv4002",fontsize=16,color="magenta"];551 -> 643[label="",style="dashed", color="magenta", weight=3]; 551 -> 644[label="",style="dashed", color="magenta", weight=3]; 552 -> 155[label="",style="dashed", color="red", weight=0]; 552[label="xv301 == xv4001",fontsize=16,color="magenta"];552 -> 645[label="",style="dashed", color="magenta", weight=3]; 552 -> 646[label="",style="dashed", color="magenta", weight=3]; 553 -> 156[label="",style="dashed", color="red", weight=0]; 553[label="xv301 == xv4001",fontsize=16,color="magenta"];553 -> 647[label="",style="dashed", color="magenta", weight=3]; 553 -> 648[label="",style="dashed", color="magenta", weight=3]; 554 -> 157[label="",style="dashed", color="red", weight=0]; 554[label="xv301 == xv4001",fontsize=16,color="magenta"];554 -> 649[label="",style="dashed", color="magenta", weight=3]; 554 -> 650[label="",style="dashed", color="magenta", weight=3]; 555 -> 158[label="",style="dashed", color="red", weight=0]; 555[label="xv301 == xv4001",fontsize=16,color="magenta"];555 -> 651[label="",style="dashed", color="magenta", weight=3]; 555 -> 652[label="",style="dashed", color="magenta", weight=3]; 556 -> 159[label="",style="dashed", color="red", weight=0]; 556[label="xv301 == xv4001",fontsize=16,color="magenta"];556 -> 653[label="",style="dashed", color="magenta", weight=3]; 556 -> 654[label="",style="dashed", color="magenta", weight=3]; 557 -> 160[label="",style="dashed", color="red", weight=0]; 557[label="xv301 == xv4001",fontsize=16,color="magenta"];557 -> 655[label="",style="dashed", color="magenta", weight=3]; 557 -> 656[label="",style="dashed", color="magenta", weight=3]; 558 -> 161[label="",style="dashed", color="red", weight=0]; 558[label="xv301 == xv4001",fontsize=16,color="magenta"];558 -> 657[label="",style="dashed", color="magenta", weight=3]; 558 -> 658[label="",style="dashed", color="magenta", weight=3]; 559 -> 162[label="",style="dashed", color="red", weight=0]; 559[label="xv301 == xv4001",fontsize=16,color="magenta"];559 -> 659[label="",style="dashed", color="magenta", weight=3]; 559 -> 660[label="",style="dashed", color="magenta", weight=3]; 560 -> 163[label="",style="dashed", color="red", weight=0]; 560[label="xv301 == xv4001",fontsize=16,color="magenta"];560 -> 661[label="",style="dashed", color="magenta", weight=3]; 560 -> 662[label="",style="dashed", color="magenta", weight=3]; 561 -> 164[label="",style="dashed", color="red", weight=0]; 561[label="xv301 == xv4001",fontsize=16,color="magenta"];561 -> 663[label="",style="dashed", color="magenta", weight=3]; 561 -> 664[label="",style="dashed", color="magenta", weight=3]; 562 -> 165[label="",style="dashed", color="red", weight=0]; 562[label="xv301 == xv4001",fontsize=16,color="magenta"];562 -> 665[label="",style="dashed", color="magenta", weight=3]; 562 -> 666[label="",style="dashed", color="magenta", weight=3]; 563 -> 111[label="",style="dashed", color="red", weight=0]; 563[label="xv301 == xv4001",fontsize=16,color="magenta"];563 -> 667[label="",style="dashed", color="magenta", weight=3]; 563 -> 668[label="",style="dashed", color="magenta", weight=3]; 564 -> 167[label="",style="dashed", color="red", weight=0]; 564[label="xv301 == xv4001",fontsize=16,color="magenta"];564 -> 669[label="",style="dashed", color="magenta", weight=3]; 564 -> 670[label="",style="dashed", color="magenta", weight=3]; 565 -> 168[label="",style="dashed", color="red", weight=0]; 565[label="xv301 == xv4001",fontsize=16,color="magenta"];565 -> 671[label="",style="dashed", color="magenta", weight=3]; 565 -> 672[label="",style="dashed", color="magenta", weight=3]; 566[label="xv300",fontsize=16,color="green",shape="box"];567[label="xv4000",fontsize=16,color="green",shape="box"];568[label="xv300",fontsize=16,color="green",shape="box"];569[label="xv4000",fontsize=16,color="green",shape="box"];570[label="xv300",fontsize=16,color="green",shape="box"];571[label="xv4000",fontsize=16,color="green",shape="box"];572[label="xv300",fontsize=16,color="green",shape="box"];573[label="xv4000",fontsize=16,color="green",shape="box"];574[label="xv300",fontsize=16,color="green",shape="box"];575[label="xv4000",fontsize=16,color="green",shape="box"];576[label="xv300",fontsize=16,color="green",shape="box"];577[label="xv4000",fontsize=16,color="green",shape="box"];578[label="xv300",fontsize=16,color="green",shape="box"];579[label="xv4000",fontsize=16,color="green",shape="box"];580[label="xv300",fontsize=16,color="green",shape="box"];581[label="xv4000",fontsize=16,color="green",shape="box"];582[label="xv300",fontsize=16,color="green",shape="box"];583[label="xv4000",fontsize=16,color="green",shape="box"];584[label="xv300",fontsize=16,color="green",shape="box"];585[label="xv4000",fontsize=16,color="green",shape="box"];586[label="xv300",fontsize=16,color="green",shape="box"];587[label="xv4000",fontsize=16,color="green",shape="box"];588[label="xv4000",fontsize=16,color="green",shape="box"];589[label="xv300",fontsize=16,color="green",shape="box"];590[label="xv300",fontsize=16,color="green",shape="box"];591[label="xv4000",fontsize=16,color="green",shape="box"];592[label="xv300",fontsize=16,color="green",shape="box"];593[label="xv4000",fontsize=16,color="green",shape="box"];594[label="primMulInt xv300 xv4001",fontsize=16,color="burlywood",shape="box"];949[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];594 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 673[label="",style="solid", color="burlywood", weight=3]; 950[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];594 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 674[label="",style="solid", color="burlywood", weight=3]; 595[label="xv4000",fontsize=16,color="green",shape="box"];596[label="xv301",fontsize=16,color="green",shape="box"];597[label="xv301",fontsize=16,color="green",shape="box"];598[label="xv4001",fontsize=16,color="green",shape="box"];599[label="xv301",fontsize=16,color="green",shape="box"];600[label="xv4001",fontsize=16,color="green",shape="box"];601[label="xv300",fontsize=16,color="green",shape="box"];602[label="xv4000",fontsize=16,color="green",shape="box"];603[label="xv300",fontsize=16,color="green",shape="box"];604[label="xv4000",fontsize=16,color="green",shape="box"];605[label="primEqNat (Succ xv3000) (Succ xv40000)",fontsize=16,color="black",shape="box"];605 -> 675[label="",style="solid", color="black", weight=3]; 606[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];606 -> 676[label="",style="solid", color="black", weight=3]; 607[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];607 -> 677[label="",style="solid", color="black", weight=3]; 608[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];608 -> 678[label="",style="solid", color="black", weight=3]; 609[label="xv4001",fontsize=16,color="green",shape="box"];610[label="xv300",fontsize=16,color="green",shape="box"];611[label="xv4000",fontsize=16,color="green",shape="box"];612[label="xv301",fontsize=16,color="green",shape="box"];613[label="xv3000",fontsize=16,color="green",shape="box"];614[label="xv40000",fontsize=16,color="green",shape="box"];615[label="xv3000",fontsize=16,color="green",shape="box"];616[label="xv40000",fontsize=16,color="green",shape="box"];617[label="xv302",fontsize=16,color="green",shape="box"];618[label="xv4002",fontsize=16,color="green",shape="box"];619[label="xv302",fontsize=16,color="green",shape="box"];620[label="xv4002",fontsize=16,color="green",shape="box"];621[label="xv302",fontsize=16,color="green",shape="box"];622[label="xv4002",fontsize=16,color="green",shape="box"];623[label="xv302",fontsize=16,color="green",shape="box"];624[label="xv4002",fontsize=16,color="green",shape="box"];625[label="xv302",fontsize=16,color="green",shape="box"];626[label="xv4002",fontsize=16,color="green",shape="box"];627[label="xv302",fontsize=16,color="green",shape="box"];628[label="xv4002",fontsize=16,color="green",shape="box"];629[label="xv302",fontsize=16,color="green",shape="box"];630[label="xv4002",fontsize=16,color="green",shape="box"];631[label="xv302",fontsize=16,color="green",shape="box"];632[label="xv4002",fontsize=16,color="green",shape="box"];633[label="xv302",fontsize=16,color="green",shape="box"];634[label="xv4002",fontsize=16,color="green",shape="box"];635[label="xv302",fontsize=16,color="green",shape="box"];636[label="xv4002",fontsize=16,color="green",shape="box"];637[label="xv302",fontsize=16,color="green",shape="box"];638[label="xv4002",fontsize=16,color="green",shape="box"];639[label="xv4002",fontsize=16,color="green",shape="box"];640[label="xv302",fontsize=16,color="green",shape="box"];641[label="xv302",fontsize=16,color="green",shape="box"];642[label="xv4002",fontsize=16,color="green",shape="box"];643[label="xv302",fontsize=16,color="green",shape="box"];644[label="xv4002",fontsize=16,color="green",shape="box"];645[label="xv301",fontsize=16,color="green",shape="box"];646[label="xv4001",fontsize=16,color="green",shape="box"];647[label="xv301",fontsize=16,color="green",shape="box"];648[label="xv4001",fontsize=16,color="green",shape="box"];649[label="xv301",fontsize=16,color="green",shape="box"];650[label="xv4001",fontsize=16,color="green",shape="box"];651[label="xv301",fontsize=16,color="green",shape="box"];652[label="xv4001",fontsize=16,color="green",shape="box"];653[label="xv301",fontsize=16,color="green",shape="box"];654[label="xv4001",fontsize=16,color="green",shape="box"];655[label="xv301",fontsize=16,color="green",shape="box"];656[label="xv4001",fontsize=16,color="green",shape="box"];657[label="xv301",fontsize=16,color="green",shape="box"];658[label="xv4001",fontsize=16,color="green",shape="box"];659[label="xv301",fontsize=16,color="green",shape="box"];660[label="xv4001",fontsize=16,color="green",shape="box"];661[label="xv301",fontsize=16,color="green",shape="box"];662[label="xv4001",fontsize=16,color="green",shape="box"];663[label="xv301",fontsize=16,color="green",shape="box"];664[label="xv4001",fontsize=16,color="green",shape="box"];665[label="xv301",fontsize=16,color="green",shape="box"];666[label="xv4001",fontsize=16,color="green",shape="box"];667[label="xv4001",fontsize=16,color="green",shape="box"];668[label="xv301",fontsize=16,color="green",shape="box"];669[label="xv301",fontsize=16,color="green",shape="box"];670[label="xv4001",fontsize=16,color="green",shape="box"];671[label="xv301",fontsize=16,color="green",shape="box"];672[label="xv4001",fontsize=16,color="green",shape="box"];673[label="primMulInt (Pos xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];951[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];673 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 679[label="",style="solid", color="burlywood", weight=3]; 952[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];673 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 680[label="",style="solid", color="burlywood", weight=3]; 674[label="primMulInt (Neg xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];953[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];674 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 681[label="",style="solid", color="burlywood", weight=3]; 954[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];674 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 682[label="",style="solid", color="burlywood", weight=3]; 675 -> 316[label="",style="dashed", color="red", weight=0]; 675[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];675 -> 683[label="",style="dashed", color="magenta", weight=3]; 675 -> 684[label="",style="dashed", color="magenta", weight=3]; 676[label="False",fontsize=16,color="green",shape="box"];677[label="False",fontsize=16,color="green",shape="box"];678[label="True",fontsize=16,color="green",shape="box"];679[label="primMulInt (Pos xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];679 -> 685[label="",style="solid", color="black", weight=3]; 680[label="primMulInt (Pos xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];680 -> 686[label="",style="solid", color="black", weight=3]; 681[label="primMulInt (Neg xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];681 -> 687[label="",style="solid", color="black", weight=3]; 682[label="primMulInt (Neg xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];682 -> 688[label="",style="solid", color="black", weight=3]; 683[label="xv3000",fontsize=16,color="green",shape="box"];684[label="xv40000",fontsize=16,color="green",shape="box"];685[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];685 -> 689[label="",style="dashed", color="green", weight=3]; 686[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];686 -> 690[label="",style="dashed", color="green", weight=3]; 687[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];687 -> 691[label="",style="dashed", color="green", weight=3]; 688[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];688 -> 692[label="",style="dashed", color="green", weight=3]; 689[label="primMulNat xv3000 xv40010",fontsize=16,color="burlywood",shape="triangle"];955[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];689 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 693[label="",style="solid", color="burlywood", weight=3]; 956[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];689 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 694[label="",style="solid", color="burlywood", weight=3]; 690 -> 689[label="",style="dashed", color="red", weight=0]; 690[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];690 -> 695[label="",style="dashed", color="magenta", weight=3]; 691 -> 689[label="",style="dashed", color="red", weight=0]; 691[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];691 -> 696[label="",style="dashed", color="magenta", weight=3]; 692 -> 689[label="",style="dashed", color="red", weight=0]; 692[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];692 -> 697[label="",style="dashed", color="magenta", weight=3]; 692 -> 698[label="",style="dashed", color="magenta", weight=3]; 693[label="primMulNat (Succ xv30000) xv40010",fontsize=16,color="burlywood",shape="box"];957[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];693 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 699[label="",style="solid", color="burlywood", weight=3]; 958[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];693 -> 958[label="",style="solid", color="burlywood", weight=9]; 958 -> 700[label="",style="solid", color="burlywood", weight=3]; 694[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];959[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];694 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 701[label="",style="solid", color="burlywood", weight=3]; 960[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];694 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 702[label="",style="solid", color="burlywood", weight=3]; 695[label="xv40010",fontsize=16,color="green",shape="box"];696[label="xv3000",fontsize=16,color="green",shape="box"];697[label="xv3000",fontsize=16,color="green",shape="box"];698[label="xv40010",fontsize=16,color="green",shape="box"];699[label="primMulNat (Succ xv30000) (Succ xv400100)",fontsize=16,color="black",shape="box"];699 -> 703[label="",style="solid", color="black", weight=3]; 700[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];700 -> 704[label="",style="solid", color="black", weight=3]; 701[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];701 -> 705[label="",style="solid", color="black", weight=3]; 702[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];702 -> 706[label="",style="solid", color="black", weight=3]; 703 -> 707[label="",style="dashed", color="red", weight=0]; 703[label="primPlusNat (primMulNat xv30000 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];703 -> 708[label="",style="dashed", color="magenta", weight=3]; 704[label="Zero",fontsize=16,color="green",shape="box"];705[label="Zero",fontsize=16,color="green",shape="box"];706[label="Zero",fontsize=16,color="green",shape="box"];708 -> 689[label="",style="dashed", color="red", weight=0]; 708[label="primMulNat xv30000 (Succ xv400100)",fontsize=16,color="magenta"];708 -> 709[label="",style="dashed", color="magenta", weight=3]; 708 -> 710[label="",style="dashed", color="magenta", weight=3]; 707[label="primPlusNat xv26 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];961[label="xv26/Succ xv260",fontsize=10,color="white",style="solid",shape="box"];707 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 711[label="",style="solid", color="burlywood", weight=3]; 962[label="xv26/Zero",fontsize=10,color="white",style="solid",shape="box"];707 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 712[label="",style="solid", color="burlywood", weight=3]; 709[label="xv30000",fontsize=16,color="green",shape="box"];710[label="Succ xv400100",fontsize=16,color="green",shape="box"];711[label="primPlusNat (Succ xv260) (Succ xv400100)",fontsize=16,color="black",shape="box"];711 -> 713[label="",style="solid", color="black", weight=3]; 712[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];712 -> 714[label="",style="solid", color="black", weight=3]; 713[label="Succ (Succ (primPlusNat xv260 xv400100))",fontsize=16,color="green",shape="box"];713 -> 715[label="",style="dashed", color="green", weight=3]; 714[label="Succ xv400100",fontsize=16,color="green",shape="box"];715[label="primPlusNat xv260 xv400100",fontsize=16,color="burlywood",shape="triangle"];963[label="xv260/Succ xv2600",fontsize=10,color="white",style="solid",shape="box"];715 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 716[label="",style="solid", color="burlywood", weight=3]; 964[label="xv260/Zero",fontsize=10,color="white",style="solid",shape="box"];715 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 717[label="",style="solid", color="burlywood", weight=3]; 716[label="primPlusNat (Succ xv2600) xv400100",fontsize=16,color="burlywood",shape="box"];965[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];716 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 718[label="",style="solid", color="burlywood", weight=3]; 966[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];716 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 719[label="",style="solid", color="burlywood", weight=3]; 717[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];967[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];717 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 720[label="",style="solid", color="burlywood", weight=3]; 968[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];717 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 721[label="",style="solid", color="burlywood", weight=3]; 718[label="primPlusNat (Succ xv2600) (Succ xv4001000)",fontsize=16,color="black",shape="box"];718 -> 722[label="",style="solid", color="black", weight=3]; 719[label="primPlusNat (Succ xv2600) Zero",fontsize=16,color="black",shape="box"];719 -> 723[label="",style="solid", color="black", weight=3]; 720[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];720 -> 724[label="",style="solid", color="black", weight=3]; 721[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];721 -> 725[label="",style="solid", color="black", weight=3]; 722[label="Succ (Succ (primPlusNat xv2600 xv4001000))",fontsize=16,color="green",shape="box"];722 -> 726[label="",style="dashed", color="green", weight=3]; 723[label="Succ xv2600",fontsize=16,color="green",shape="box"];724[label="Succ xv4001000",fontsize=16,color="green",shape="box"];725[label="Zero",fontsize=16,color="green",shape="box"];726 -> 715[label="",style="dashed", color="red", weight=0]; 726[label="primPlusNat xv2600 xv4001000",fontsize=16,color="magenta"];726 -> 727[label="",style="dashed", color="magenta", weight=3]; 726 -> 728[label="",style="dashed", color="magenta", weight=3]; 727[label="xv2600",fontsize=16,color="green",shape="box"];728[label="xv4001000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(ty_[], ga))) -> new_esEs(xv301, xv4001, ga) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, gh), ha), hb), gd) -> new_esEs3(xv300, xv4000, gh, ha, hb) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bca), bcb), he, bba) -> new_esEs0(xv300, xv4000, bca, bcb) new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(app(ty_Either, cd), ce))) -> new_esEs0(xv300, xv4000, cd, ce) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_[], bda)), he), bba)) -> new_esEs(xv300, xv4000, bda) new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_@2, be), bf)), bc)) -> new_esEs2(xv300, xv4000, be, bf) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(app(ty_Either, hf), hg)) -> new_esEs0(xv302, xv4002, hf, hg) new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(app(app(ty_@3, ec), ed), ee))) -> new_esEs3(xv300, xv4000, ec, ed, ee) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(ty_Maybe, bbb)), bba)) -> new_esEs1(xv301, xv4001, bbb) new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(ty_[], cb)), bc)) -> new_esEs(xv300, xv4000, cb) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_@2, fc), fd)) -> new_esEs2(xv301, xv4001, fc, fd) new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(app(app(ty_@3, bg), bh), ca)), bc)) -> new_esEs3(xv300, xv4000, bg, bh, ca) new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(ty_[], de))) -> new_esEs(xv300, xv4000, de) new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(app(ty_@2, cg), da))) -> new_esEs2(xv300, xv4000, cg, da) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(ty_Maybe, hh))) -> new_esEs1(xv302, xv4002, hh) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_Either, bca), bcb)), he), bba)) -> new_esEs0(xv300, xv4000, bca, bcb) new_esEs(:(xv30, xv31), :(xv400, xv401), app(ty_[], bdb)) -> new_esEs(xv30, xv400, bdb) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(app(ty_@2, fc), fd))) -> new_esEs2(xv301, xv4001, fc, fd) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(app(app(ty_@3, bbe), bbf), bbg)), bba)) -> new_esEs3(xv301, xv4001, bbe, bbf, bbg) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(app(ty_@2, gf), gg)), gd)) -> new_esEs2(xv300, xv4000, gf, gg) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(app(ty_@2, bbc), bbd), bba) -> new_esEs2(xv301, xv4001, bbc, bbd) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(app(app(ty_@3, ff), fg), fh))) -> new_esEs3(xv301, xv4001, ff, fg, fh) new_esEs0(Left(xv300), Left(xv4000), app(app(ty_Either, ba), bb), bc) -> new_esEs0(xv300, xv4000, ba, bb) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_@2, bcd), bce)), he), bba)) -> new_esEs2(xv300, xv4000, bcd, bce) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(app(ty_@3, bcf), bcg), bch)), he), bba)) -> new_esEs3(xv300, xv4000, bcf, bcg, bch) new_esEs0(Left(xv300), Left(xv4000), app(app(app(ty_@3, bg), bh), ca), bc) -> new_esEs3(xv300, xv4000, bg, bh, ca) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_Either, eh), fa)) -> new_esEs0(xv301, xv4001, eh, fa) new_esEs1(Just(xv300), Just(xv4000), app(app(ty_@2, ea), eb)) -> new_esEs2(xv300, xv4000, ea, eb) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(app(app(ty_@3, bbe), bbf), bbg), bba) -> new_esEs3(xv301, xv4001, bbe, bbf, bbg) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(ty_[], bbh), bba) -> new_esEs(xv301, xv4001, bbh) new_esEs1(Just(xv300), Just(xv4000), app(app(app(ty_@3, ec), ed), ee)) -> new_esEs3(xv300, xv4000, ec, ed, ee) new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(ty_Maybe, bd)), bc)) -> new_esEs1(xv300, xv4000, bd) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(app(ty_Either, eh), fa))) -> new_esEs0(xv301, xv4001, eh, fa) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bcc), he, bba) -> new_esEs1(xv300, xv4000, bcc) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, ge), gd) -> new_esEs1(xv300, xv4000, ge) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(app(ty_Either, hf), hg))) -> new_esEs0(xv302, xv4002, hf, hg) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(app(ty_@2, bbc), bbd)), bba)) -> new_esEs2(xv301, xv4001, bbc, bbd) new_esEs1(Just(xv300), Just(xv4000), app(ty_Maybe, dh)) -> new_esEs1(xv300, xv4000, dh) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(ty_Maybe, hh)) -> new_esEs1(xv302, xv4002, hh) new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_Either, ba), bb)), bc)) -> new_esEs0(xv300, xv4000, ba, bb) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(ty_[], bbh)), bba)) -> new_esEs(xv301, xv4001, bbh) new_esEs0(Left(xv300), Left(xv4000), app(ty_[], cb), bc) -> new_esEs(xv300, xv4000, cb) new_esEs0(Right(xv300), Right(xv4000), cc, app(app(ty_@2, cg), da)) -> new_esEs2(xv300, xv4000, cg, da) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(app(app(ty_@3, gh), ha), hb)), gd)) -> new_esEs3(xv300, xv4000, gh, ha, hb) new_esEs0(Left(xv300), Left(xv4000), app(ty_Maybe, bd), bc) -> new_esEs1(xv300, xv4000, bd) new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(app(app(ty_@3, db), dc), dd))) -> new_esEs3(xv300, xv4000, db, dc, dd) new_esEs1(Just(xv300), Just(xv4000), app(app(ty_Either, df), dg)) -> new_esEs0(xv300, xv4000, df, dg) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(app(app(ty_@3, bac), bad), bae))) -> new_esEs3(xv302, xv4002, bac, bad, bae) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(app(ty_Either, bag), bah), bba) -> new_esEs0(xv301, xv4001, bag, bah) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bcf), bcg), bch), he, bba) -> new_esEs3(xv300, xv4000, bcf, bcg, bch) new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_@2, ea), eb))) -> new_esEs2(xv300, xv4000, ea, eb) new_esEs0(Left(xv300), Left(xv4000), app(app(ty_@2, be), bf), bc) -> new_esEs2(xv300, xv4000, be, bf) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_[], ga)) -> new_esEs(xv301, xv4001, ga) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(app(ty_Either, bag), bah)), bba)) -> new_esEs0(xv301, xv4001, bag, bah) new_esEs0(Right(xv300), Right(xv4000), cc, app(app(ty_Either, cd), ce)) -> new_esEs0(xv300, xv4000, cd, ce) new_esEs(:(xv30, xv31), :(xv400, xv401), h) -> new_esEs(xv31, xv401, h) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(ty_Maybe, ge)), gd)) -> new_esEs1(xv300, xv4000, ge) new_esEs0(Right(xv300), Right(xv4000), cc, app(ty_[], de)) -> new_esEs(xv300, xv4000, de) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs3(xv302, xv4002, bac, bad, bae) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(app(ty_@2, baa), bab))) -> new_esEs2(xv302, xv4002, baa, bab) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, gf), gg), gd) -> new_esEs2(xv300, xv4000, gf, gg) new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_Either, df), dg))) -> new_esEs0(xv300, xv4000, df, dg) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(ty_Maybe, fb))) -> new_esEs1(xv301, xv4001, fb) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_Maybe, bcc)), he), bba)) -> new_esEs1(xv300, xv4000, bcc) new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(ty_Maybe, dh))) -> new_esEs1(xv300, xv4000, dh) new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(ty_[], ef))) -> new_esEs(xv300, xv4000, ef) new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(ty_Maybe, cf))) -> new_esEs1(xv300, xv4000, cf) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(ty_[], hc)), gd)) -> new_esEs(xv300, xv4000, hc) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, gb), gc), gd) -> new_esEs0(xv300, xv4000, gb, gc) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(app(ty_@2, baa), bab)) -> new_esEs2(xv302, xv4002, baa, bab) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs3(xv301, xv4001, ff, fg, fh) new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(ty_[], baf))) -> new_esEs(xv302, xv4002, baf) new_esEs0(Right(xv300), Right(xv4000), cc, app(app(app(ty_@3, db), dc), dd)) -> new_esEs3(xv300, xv4000, db, dc, dd) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, bcd), bce), he, bba) -> new_esEs2(xv300, xv4000, bcd, bce) new_esEs0(Right(xv300), Right(xv4000), cc, app(ty_Maybe, cf)) -> new_esEs1(xv300, xv4000, cf) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(ty_[], baf)) -> new_esEs(xv302, xv4002, baf) new_esEs1(Just(xv300), Just(xv4000), app(ty_[], ef)) -> new_esEs(xv300, xv4000, ef) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], hc), gd) -> new_esEs(xv300, xv4000, hc) new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_Maybe, fb)) -> new_esEs1(xv301, xv4001, fb) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(ty_Maybe, bbb), bba) -> new_esEs1(xv301, xv4001, bbb) new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(app(ty_Either, gb), gc)), gd)) -> new_esEs0(xv300, xv4000, gb, gc) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], bda), he, bba) -> new_esEs(xv300, xv4000, bda) 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_esEs1(Just(xv300), Just(xv4000), app(ty_[], ef)) -> new_esEs(xv300, xv4000, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xv300), Just(xv4000), app(app(ty_@2, ea), eb)) -> new_esEs2(xv300, xv4000, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv300), Just(xv4000), app(app(app(ty_@3, ec), ed), ee)) -> new_esEs3(xv300, xv4000, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xv300), Just(xv4000), app(app(ty_Either, df), dg)) -> new_esEs0(xv300, xv4000, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv300), Just(xv4000), app(ty_Maybe, dh)) -> new_esEs1(xv300, xv4000, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(ty_[], ga))) -> new_esEs(xv301, xv4001, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_[], bda)), he), bba)) -> new_esEs(xv300, xv4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(ty_[], cb)), bc)) -> new_esEs(xv300, xv4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(ty_[], de))) -> new_esEs(xv300, xv4000, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv30, xv31), :(xv400, xv401), app(ty_[], bdb)) -> new_esEs(xv30, xv400, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(ty_[], bbh)), bba)) -> new_esEs(xv301, xv4001, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv30, xv31), :(xv400, xv401), h) -> new_esEs(xv31, xv401, h) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(ty_[], ef))) -> new_esEs(xv300, xv4000, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(ty_[], hc)), gd)) -> new_esEs(xv300, xv4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(ty_[], baf))) -> new_esEs(xv302, xv4002, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_@2, be), bf)), bc)) -> new_esEs2(xv300, xv4000, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(app(ty_@2, cg), da))) -> new_esEs2(xv300, xv4000, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(app(ty_@2, fc), fd))) -> new_esEs2(xv301, xv4001, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(app(ty_@2, gf), gg)), gd)) -> new_esEs2(xv300, xv4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_@2, bcd), bce)), he), bba)) -> new_esEs2(xv300, xv4000, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(app(ty_@2, bbc), bbd)), bba)) -> new_esEs2(xv301, xv4001, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_@2, ea), eb))) -> new_esEs2(xv300, xv4000, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(app(ty_@2, baa), bab))) -> new_esEs2(xv302, xv4002, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(app(app(ty_@3, ec), ed), ee))) -> new_esEs3(xv300, xv4000, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(app(app(ty_@3, bg), bh), ca)), bc)) -> new_esEs3(xv300, xv4000, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(app(app(ty_@3, bbe), bbf), bbg)), bba)) -> new_esEs3(xv301, xv4001, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(app(app(ty_@3, ff), fg), fh))) -> new_esEs3(xv301, xv4001, ff, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(app(ty_@3, bcf), bcg), bch)), he), bba)) -> new_esEs3(xv300, xv4000, bcf, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(app(app(ty_@3, gh), ha), hb)), gd)) -> new_esEs3(xv300, xv4000, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(app(app(ty_@3, db), dc), dd))) -> new_esEs3(xv300, xv4000, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(app(app(ty_@3, bac), bad), bae))) -> new_esEs3(xv302, xv4002, bac, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(app(ty_Either, cd), ce))) -> new_esEs0(xv300, xv4000, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_Either, bca), bcb)), he), bba)) -> new_esEs0(xv300, xv4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(app(ty_Either, eh), fa))) -> new_esEs0(xv301, xv4001, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(app(ty_Either, hf), hg))) -> new_esEs0(xv302, xv4002, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_Either, ba), bb)), bc)) -> new_esEs0(xv300, xv4000, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(app(ty_Either, bag), bah)), bba)) -> new_esEs0(xv301, xv4001, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_Either, df), dg))) -> new_esEs0(xv300, xv4000, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(app(ty_Either, gb), gc)), gd)) -> new_esEs0(xv300, xv4000, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), app(ty_Maybe, bbb)), bba)) -> new_esEs1(xv301, xv4001, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hd), he), app(ty_Maybe, hh))) -> new_esEs1(xv302, xv4002, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Left(xv300), xv31), :(Left(xv4000), xv401), app(app(ty_Either, app(ty_Maybe, bd)), bc)) -> new_esEs1(xv300, xv4000, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, app(ty_Maybe, ge)), gd)) -> new_esEs1(xv300, xv4000, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv4000, xv4001), xv401), app(app(ty_@2, eg), app(ty_Maybe, fb))) -> new_esEs1(xv301, xv4001, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_Maybe, bcc)), he), bba)) -> new_esEs1(xv300, xv4000, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Just(xv300), xv31), :(Just(xv4000), xv401), app(ty_Maybe, app(ty_Maybe, dh))) -> new_esEs1(xv300, xv4000, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(Right(xv300), xv31), :(Right(xv4000), xv401), app(app(ty_Either, cc), app(ty_Maybe, cf))) -> new_esEs1(xv300, xv4000, cf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(ty_[], bbh), bba) -> new_esEs(xv301, xv4001, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(ty_[], baf)) -> new_esEs(xv302, xv4002, baf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], bda), he, bba) -> new_esEs(xv300, xv4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(xv300), Left(xv4000), app(ty_[], cb), bc) -> new_esEs(xv300, xv4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv300), Right(xv4000), cc, app(ty_[], de)) -> new_esEs(xv300, xv4000, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_[], ga)) -> new_esEs(xv301, xv4001, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], hc), gd) -> new_esEs(xv300, xv4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(app(ty_@2, bbc), bbd), bba) -> new_esEs2(xv301, xv4001, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(app(ty_@2, baa), bab)) -> new_esEs2(xv302, xv4002, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, bcd), bce), he, bba) -> new_esEs2(xv300, xv4000, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(app(app(ty_@3, bbe), bbf), bbg), bba) -> new_esEs3(xv301, xv4001, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bcf), bcg), bch), he, bba) -> new_esEs3(xv300, xv4000, bcf, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs3(xv302, xv4002, bac, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bca), bcb), he, bba) -> new_esEs0(xv300, xv4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(app(ty_Either, hf), hg)) -> new_esEs0(xv302, xv4002, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(app(ty_Either, bag), bah), bba) -> new_esEs0(xv301, xv4001, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bcc), he, bba) -> new_esEs1(xv300, xv4000, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, he, app(ty_Maybe, hh)) -> new_esEs1(xv302, xv4002, hh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hd, app(ty_Maybe, bbb), bba) -> new_esEs1(xv301, xv4001, bbb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Right(xv300), Right(xv4000), cc, app(app(ty_@2, cg), da)) -> new_esEs2(xv300, xv4000, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv300), Left(xv4000), app(app(ty_@2, be), bf), bc) -> new_esEs2(xv300, xv4000, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_@2, fc), fd)) -> new_esEs2(xv301, xv4001, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, gf), gg), gd) -> new_esEs2(xv300, xv4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(xv300), Left(xv4000), app(app(app(ty_@3, bg), bh), ca), bc) -> new_esEs3(xv300, xv4000, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xv300), Right(xv4000), cc, app(app(app(ty_@3, db), dc), dd)) -> new_esEs3(xv300, xv4000, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Left(xv300), Left(xv4000), app(app(ty_Either, ba), bb), bc) -> new_esEs0(xv300, xv4000, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv300), Right(xv4000), cc, app(app(ty_Either, cd), ce)) -> new_esEs0(xv300, xv4000, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv300), Left(xv4000), app(ty_Maybe, bd), bc) -> new_esEs1(xv300, xv4000, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv300), Right(xv4000), cc, app(ty_Maybe, cf)) -> new_esEs1(xv300, xv4000, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, gh), ha), hb), gd) -> new_esEs3(xv300, xv4000, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs3(xv301, xv4001, ff, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_Either, eh), fa)) -> new_esEs0(xv301, xv4001, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, gb), gc), gd) -> new_esEs0(xv300, xv4000, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, ge), gd) -> new_esEs1(xv300, xv4000, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_Maybe, fb)) -> new_esEs1(xv301, xv4001, fb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_foldr(xv3, :(xv40, xv41), h) -> new_foldr(xv3, xv41, h) 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_foldr(xv3, :(xv40, xv41), h) -> new_foldr(xv3, xv41, h) 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(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) 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(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) 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(xv2600), Succ(xv4001000)) -> new_primPlusNat(xv2600, xv4001000) 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(xv2600), Succ(xv4001000)) -> new_primPlusNat(xv2600, xv4001000) 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(xv3000), Succ(xv40000)) -> new_primEqNat(xv3000, xv40000) 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(xv3000), Succ(xv40000)) -> new_primEqNat(xv3000, xv40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES