/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES ---------------------------------------- (0) Obligation: mainModule Main module 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="notElem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="notElem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="notElem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="all . (/=)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="all ((/=) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7[label="and . map ((/=) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 8[label="and (map ((/=) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9[label="foldr (&&) True (map ((/=) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];864[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 10[label="",style="solid", color="burlywood", weight=3]; 865[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 11[label="",style="solid", color="burlywood", weight=3]; 10[label="foldr (&&) True (map ((/=) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 11[label="foldr (&&) True (map ((/=) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12[label="foldr (&&) True (((/=) xv3 xv40) : map ((/=) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 13[label="foldr (&&) True []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 14 -> 227[label="",style="dashed", color="red", weight=0]; 14[label="(&&) (/=) xv3 xv40 foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];14 -> 228[label="",style="dashed", color="magenta", weight=3]; 14 -> 229[label="",style="dashed", color="magenta", weight=3]; 15[label="True",fontsize=16,color="green",shape="box"];228 -> 9[label="",style="dashed", color="red", weight=0]; 228[label="foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];228 -> 252[label="",style="dashed", color="magenta", weight=3]; 229[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];229 -> 253[label="",style="solid", color="black", weight=3]; 227[label="xv15 && xv16",fontsize=16,color="burlywood",shape="triangle"];866[label="xv15/False",fontsize=10,color="white",style="solid",shape="box"];227 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 254[label="",style="solid", color="burlywood", weight=3]; 867[label="xv15/True",fontsize=10,color="white",style="solid",shape="box"];227 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 255[label="",style="solid", color="burlywood", weight=3]; 252[label="xv41",fontsize=16,color="green",shape="box"];253 -> 270[label="",style="dashed", color="red", weight=0]; 253[label="not (xv3 == xv40)",fontsize=16,color="magenta"];253 -> 271[label="",style="dashed", color="magenta", weight=3]; 254[label="False && xv16",fontsize=16,color="black",shape="box"];254 -> 258[label="",style="solid", color="black", weight=3]; 255[label="True && xv16",fontsize=16,color="black",shape="box"];255 -> 259[label="",style="solid", color="black", weight=3]; 271[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];868[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];271 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 276[label="",style="solid", color="burlywood", weight=3]; 869[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];271 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 277[label="",style="solid", color="burlywood", weight=3]; 270[label="not xv19",fontsize=16,color="burlywood",shape="triangle"];870[label="xv19/False",fontsize=10,color="white",style="solid",shape="box"];270 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 278[label="",style="solid", color="burlywood", weight=3]; 871[label="xv19/True",fontsize=10,color="white",style="solid",shape="box"];270 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 279[label="",style="solid", color="burlywood", weight=3]; 258[label="False",fontsize=16,color="green",shape="box"];259[label="xv16",fontsize=16,color="green",shape="box"];276[label="Nothing == xv40",fontsize=16,color="burlywood",shape="box"];872[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];276 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 280[label="",style="solid", color="burlywood", weight=3]; 873[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];276 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 281[label="",style="solid", color="burlywood", weight=3]; 277[label="Just xv30 == xv40",fontsize=16,color="burlywood",shape="box"];874[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];277 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 282[label="",style="solid", color="burlywood", weight=3]; 875[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];277 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 283[label="",style="solid", color="burlywood", weight=3]; 278[label="not False",fontsize=16,color="black",shape="box"];278 -> 284[label="",style="solid", color="black", weight=3]; 279[label="not True",fontsize=16,color="black",shape="box"];279 -> 285[label="",style="solid", color="black", weight=3]; 280[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];280 -> 286[label="",style="solid", color="black", weight=3]; 281[label="Nothing == Just xv400",fontsize=16,color="black",shape="box"];281 -> 287[label="",style="solid", color="black", weight=3]; 282[label="Just xv30 == Nothing",fontsize=16,color="black",shape="box"];282 -> 288[label="",style="solid", color="black", weight=3]; 283[label="Just xv30 == Just xv400",fontsize=16,color="black",shape="box"];283 -> 289[label="",style="solid", color="black", weight=3]; 284[label="True",fontsize=16,color="green",shape="box"];285[label="False",fontsize=16,color="green",shape="box"];286[label="True",fontsize=16,color="green",shape="box"];287[label="False",fontsize=16,color="green",shape="box"];288[label="False",fontsize=16,color="green",shape="box"];289[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];876[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 290[label="",style="solid", color="blue", weight=3]; 877[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 291[label="",style="solid", color="blue", weight=3]; 878[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 292[label="",style="solid", color="blue", weight=3]; 879[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 293[label="",style="solid", color="blue", weight=3]; 880[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 294[label="",style="solid", color="blue", weight=3]; 881[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 295[label="",style="solid", color="blue", weight=3]; 882[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 296[label="",style="solid", color="blue", weight=3]; 883[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 297[label="",style="solid", color="blue", weight=3]; 884[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 298[label="",style="solid", color="blue", weight=3]; 885[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 299[label="",style="solid", color="blue", weight=3]; 886[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 300[label="",style="solid", color="blue", weight=3]; 887[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 301[label="",style="solid", color="blue", weight=3]; 888[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 302[label="",style="solid", color="blue", weight=3]; 889[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 303[label="",style="solid", color="blue", weight=3]; 290[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];290 -> 304[label="",style="solid", color="black", weight=3]; 291[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];291 -> 305[label="",style="solid", color="black", weight=3]; 292[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];890[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];292 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 306[label="",style="solid", color="burlywood", weight=3]; 891[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];292 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 307[label="",style="solid", color="burlywood", weight=3]; 293[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];892[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];293 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 308[label="",style="solid", color="burlywood", weight=3]; 893[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];293 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 309[label="",style="solid", color="burlywood", weight=3]; 294[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];894[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];294 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 310[label="",style="solid", color="burlywood", weight=3]; 295[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];895[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];295 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 311[label="",style="solid", color="burlywood", weight=3]; 296 -> 271[label="",style="dashed", color="red", weight=0]; 296[label="xv30 == xv400",fontsize=16,color="magenta"];296 -> 312[label="",style="dashed", color="magenta", weight=3]; 296 -> 313[label="",style="dashed", color="magenta", weight=3]; 297[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];896[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];297 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 314[label="",style="solid", color="burlywood", weight=3]; 298[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];897[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];298 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 315[label="",style="solid", color="burlywood", weight=3]; 299[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];299 -> 316[label="",style="solid", color="black", weight=3]; 300[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];898[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];300 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 317[label="",style="solid", color="burlywood", weight=3]; 899[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];300 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 318[label="",style="solid", color="burlywood", weight=3]; 301[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];900[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];301 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 319[label="",style="solid", color="burlywood", weight=3]; 302[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];901[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];302 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 320[label="",style="solid", color="burlywood", weight=3]; 902[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];302 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 321[label="",style="solid", color="burlywood", weight=3]; 903[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];302 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 322[label="",style="solid", color="burlywood", weight=3]; 303[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];303 -> 323[label="",style="solid", color="black", weight=3]; 304[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];904[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];304 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 324[label="",style="solid", color="burlywood", weight=3]; 305[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];905[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];305 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 325[label="",style="solid", color="burlywood", weight=3]; 906[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];305 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 326[label="",style="solid", color="burlywood", weight=3]; 306[label="xv300 : xv301 == xv400",fontsize=16,color="burlywood",shape="box"];907[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];306 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 327[label="",style="solid", color="burlywood", weight=3]; 908[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];306 -> 908[label="",style="solid", color="burlywood", weight=9]; 908 -> 328[label="",style="solid", color="burlywood", weight=3]; 307[label="[] == xv400",fontsize=16,color="burlywood",shape="box"];909[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];307 -> 909[label="",style="solid", color="burlywood", weight=9]; 909 -> 329[label="",style="solid", color="burlywood", weight=3]; 910[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];307 -> 910[label="",style="solid", color="burlywood", weight=9]; 910 -> 330[label="",style="solid", color="burlywood", weight=3]; 308[label="Left xv300 == xv400",fontsize=16,color="burlywood",shape="box"];911[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];308 -> 911[label="",style="solid", color="burlywood", weight=9]; 911 -> 331[label="",style="solid", color="burlywood", weight=3]; 912[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];308 -> 912[label="",style="solid", color="burlywood", weight=9]; 912 -> 332[label="",style="solid", color="burlywood", weight=3]; 309[label="Right xv300 == xv400",fontsize=16,color="burlywood",shape="box"];913[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];309 -> 913[label="",style="solid", color="burlywood", weight=9]; 913 -> 333[label="",style="solid", color="burlywood", weight=3]; 914[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];309 -> 914[label="",style="solid", color="burlywood", weight=9]; 914 -> 334[label="",style="solid", color="burlywood", weight=3]; 310[label="() == xv400",fontsize=16,color="burlywood",shape="box"];915[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];310 -> 915[label="",style="solid", color="burlywood", weight=9]; 915 -> 335[label="",style="solid", color="burlywood", weight=3]; 311[label="(xv300,xv301) == xv400",fontsize=16,color="burlywood",shape="box"];916[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];311 -> 916[label="",style="solid", color="burlywood", weight=9]; 916 -> 336[label="",style="solid", color="burlywood", weight=3]; 312[label="xv400",fontsize=16,color="green",shape="box"];313[label="xv30",fontsize=16,color="green",shape="box"];314[label="xv300 :% xv301 == xv400",fontsize=16,color="burlywood",shape="box"];917[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];314 -> 917[label="",style="solid", color="burlywood", weight=9]; 917 -> 337[label="",style="solid", color="burlywood", weight=3]; 315[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];918[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];315 -> 918[label="",style="solid", color="burlywood", weight=9]; 918 -> 338[label="",style="solid", color="burlywood", weight=3]; 316[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];919[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];316 -> 919[label="",style="solid", color="burlywood", weight=9]; 919 -> 339[label="",style="solid", color="burlywood", weight=3]; 317[label="False == xv400",fontsize=16,color="burlywood",shape="box"];920[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];317 -> 920[label="",style="solid", color="burlywood", weight=9]; 920 -> 340[label="",style="solid", color="burlywood", weight=3]; 921[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];317 -> 921[label="",style="solid", color="burlywood", weight=9]; 921 -> 341[label="",style="solid", color="burlywood", weight=3]; 318[label="True == xv400",fontsize=16,color="burlywood",shape="box"];922[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];318 -> 922[label="",style="solid", color="burlywood", weight=9]; 922 -> 342[label="",style="solid", color="burlywood", weight=3]; 923[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];318 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 343[label="",style="solid", color="burlywood", weight=3]; 319[label="(xv300,xv301,xv302) == xv400",fontsize=16,color="burlywood",shape="box"];924[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];319 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 344[label="",style="solid", color="burlywood", weight=3]; 320[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];925[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];320 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 345[label="",style="solid", color="burlywood", weight=3]; 926[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];320 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 346[label="",style="solid", color="burlywood", weight=3]; 927[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];320 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 347[label="",style="solid", color="burlywood", weight=3]; 321[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];928[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];321 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 348[label="",style="solid", color="burlywood", weight=3]; 929[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];321 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 349[label="",style="solid", color="burlywood", weight=3]; 930[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];321 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 350[label="",style="solid", color="burlywood", weight=3]; 322[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];931[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];322 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 351[label="",style="solid", color="burlywood", weight=3]; 932[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];322 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 352[label="",style="solid", color="burlywood", weight=3]; 933[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];322 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 353[label="",style="solid", color="burlywood", weight=3]; 323[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];934[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];323 -> 934[label="",style="solid", color="burlywood", weight=9]; 934 -> 354[label="",style="solid", color="burlywood", weight=3]; 324[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];935[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];324 -> 935[label="",style="solid", color="burlywood", weight=9]; 935 -> 355[label="",style="solid", color="burlywood", weight=3]; 325[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];936[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];325 -> 936[label="",style="solid", color="burlywood", weight=9]; 936 -> 356[label="",style="solid", color="burlywood", weight=3]; 937[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];325 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 357[label="",style="solid", color="burlywood", weight=3]; 326[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];938[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];326 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 358[label="",style="solid", color="burlywood", weight=3]; 939[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];326 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 359[label="",style="solid", color="burlywood", weight=3]; 327[label="xv300 : xv301 == xv4000 : xv4001",fontsize=16,color="black",shape="box"];327 -> 360[label="",style="solid", color="black", weight=3]; 328[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];328 -> 361[label="",style="solid", color="black", weight=3]; 329[label="[] == xv4000 : xv4001",fontsize=16,color="black",shape="box"];329 -> 362[label="",style="solid", color="black", weight=3]; 330[label="[] == []",fontsize=16,color="black",shape="box"];330 -> 363[label="",style="solid", color="black", weight=3]; 331[label="Left xv300 == Left xv4000",fontsize=16,color="black",shape="box"];331 -> 364[label="",style="solid", color="black", weight=3]; 332[label="Left xv300 == Right xv4000",fontsize=16,color="black",shape="box"];332 -> 365[label="",style="solid", color="black", weight=3]; 333[label="Right xv300 == Left xv4000",fontsize=16,color="black",shape="box"];333 -> 366[label="",style="solid", color="black", weight=3]; 334[label="Right xv300 == Right xv4000",fontsize=16,color="black",shape="box"];334 -> 367[label="",style="solid", color="black", weight=3]; 335[label="() == ()",fontsize=16,color="black",shape="box"];335 -> 368[label="",style="solid", color="black", weight=3]; 336[label="(xv300,xv301) == (xv4000,xv4001)",fontsize=16,color="black",shape="box"];336 -> 369[label="",style="solid", color="black", weight=3]; 337[label="xv300 :% xv301 == xv4000 :% xv4001",fontsize=16,color="black",shape="box"];337 -> 370[label="",style="solid", color="black", weight=3]; 338[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];338 -> 371[label="",style="solid", color="black", weight=3]; 339[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];940[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];339 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 372[label="",style="solid", color="burlywood", weight=3]; 340[label="False == False",fontsize=16,color="black",shape="box"];340 -> 373[label="",style="solid", color="black", weight=3]; 341[label="False == True",fontsize=16,color="black",shape="box"];341 -> 374[label="",style="solid", color="black", weight=3]; 342[label="True == False",fontsize=16,color="black",shape="box"];342 -> 375[label="",style="solid", color="black", weight=3]; 343[label="True == True",fontsize=16,color="black",shape="box"];343 -> 376[label="",style="solid", color="black", weight=3]; 344[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)",fontsize=16,color="black",shape="box"];344 -> 377[label="",style="solid", color="black", weight=3]; 345[label="LT == LT",fontsize=16,color="black",shape="box"];345 -> 378[label="",style="solid", color="black", weight=3]; 346[label="LT == EQ",fontsize=16,color="black",shape="box"];346 -> 379[label="",style="solid", color="black", weight=3]; 347[label="LT == GT",fontsize=16,color="black",shape="box"];347 -> 380[label="",style="solid", color="black", weight=3]; 348[label="EQ == LT",fontsize=16,color="black",shape="box"];348 -> 381[label="",style="solid", color="black", weight=3]; 349[label="EQ == EQ",fontsize=16,color="black",shape="box"];349 -> 382[label="",style="solid", color="black", weight=3]; 350[label="EQ == GT",fontsize=16,color="black",shape="box"];350 -> 383[label="",style="solid", color="black", weight=3]; 351[label="GT == LT",fontsize=16,color="black",shape="box"];351 -> 384[label="",style="solid", color="black", weight=3]; 352[label="GT == EQ",fontsize=16,color="black",shape="box"];352 -> 385[label="",style="solid", color="black", weight=3]; 353[label="GT == GT",fontsize=16,color="black",shape="box"];353 -> 386[label="",style="solid", color="black", weight=3]; 354[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];941[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];354 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 387[label="",style="solid", color="burlywood", weight=3]; 355[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];355 -> 388[label="",style="solid", color="black", weight=3]; 356[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];942[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];356 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 389[label="",style="solid", color="burlywood", weight=3]; 943[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];356 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 390[label="",style="solid", color="burlywood", weight=3]; 357[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];944[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];357 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 391[label="",style="solid", color="burlywood", weight=3]; 945[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];357 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 392[label="",style="solid", color="burlywood", weight=3]; 358[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];946[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];358 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 393[label="",style="solid", color="burlywood", weight=3]; 947[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];358 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 394[label="",style="solid", color="burlywood", weight=3]; 359[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];948[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];359 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 395[label="",style="solid", color="burlywood", weight=3]; 949[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];359 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 396[label="",style="solid", color="burlywood", weight=3]; 360 -> 227[label="",style="dashed", color="red", weight=0]; 360[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];360 -> 397[label="",style="dashed", color="magenta", weight=3]; 360 -> 398[label="",style="dashed", color="magenta", weight=3]; 361[label="False",fontsize=16,color="green",shape="box"];362[label="False",fontsize=16,color="green",shape="box"];363[label="True",fontsize=16,color="green",shape="box"];364[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];950[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 399[label="",style="solid", color="blue", weight=3]; 951[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 400[label="",style="solid", color="blue", weight=3]; 952[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 952[label="",style="solid", color="blue", weight=9]; 952 -> 401[label="",style="solid", color="blue", weight=3]; 953[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 402[label="",style="solid", color="blue", weight=3]; 954[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 403[label="",style="solid", color="blue", weight=3]; 955[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 404[label="",style="solid", color="blue", weight=3]; 956[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 405[label="",style="solid", color="blue", weight=3]; 957[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 406[label="",style="solid", color="blue", weight=3]; 958[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 407[label="",style="solid", color="blue", weight=3]; 959[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 408[label="",style="solid", color="blue", weight=3]; 960[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 409[label="",style="solid", color="blue", weight=3]; 961[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 410[label="",style="solid", color="blue", weight=3]; 962[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 962[label="",style="solid", color="blue", weight=9]; 962 -> 411[label="",style="solid", color="blue", weight=3]; 963[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 963[label="",style="solid", color="blue", weight=9]; 963 -> 412[label="",style="solid", color="blue", weight=3]; 365[label="False",fontsize=16,color="green",shape="box"];366[label="False",fontsize=16,color="green",shape="box"];367[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];964[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 964[label="",style="solid", color="blue", weight=9]; 964 -> 413[label="",style="solid", color="blue", weight=3]; 965[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 965[label="",style="solid", color="blue", weight=9]; 965 -> 414[label="",style="solid", color="blue", weight=3]; 966[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 415[label="",style="solid", color="blue", weight=3]; 967[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 416[label="",style="solid", color="blue", weight=3]; 968[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 417[label="",style="solid", color="blue", weight=3]; 969[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 418[label="",style="solid", color="blue", weight=3]; 970[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 419[label="",style="solid", color="blue", weight=3]; 971[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 420[label="",style="solid", color="blue", weight=3]; 972[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 421[label="",style="solid", color="blue", weight=3]; 973[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 973[label="",style="solid", color="blue", weight=9]; 973 -> 422[label="",style="solid", color="blue", weight=3]; 974[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 974[label="",style="solid", color="blue", weight=9]; 974 -> 423[label="",style="solid", color="blue", weight=3]; 975[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 975[label="",style="solid", color="blue", weight=9]; 975 -> 424[label="",style="solid", color="blue", weight=3]; 976[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 976[label="",style="solid", color="blue", weight=9]; 976 -> 425[label="",style="solid", color="blue", weight=3]; 977[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 977[label="",style="solid", color="blue", weight=9]; 977 -> 426[label="",style="solid", color="blue", weight=3]; 368[label="True",fontsize=16,color="green",shape="box"];369 -> 227[label="",style="dashed", color="red", weight=0]; 369[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];369 -> 427[label="",style="dashed", color="magenta", weight=3]; 369 -> 428[label="",style="dashed", color="magenta", weight=3]; 370 -> 227[label="",style="dashed", color="red", weight=0]; 370[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];370 -> 429[label="",style="dashed", color="magenta", weight=3]; 370 -> 430[label="",style="dashed", color="magenta", weight=3]; 371 -> 305[label="",style="dashed", color="red", weight=0]; 371[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];371 -> 431[label="",style="dashed", color="magenta", weight=3]; 371 -> 432[label="",style="dashed", color="magenta", weight=3]; 372[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];372 -> 433[label="",style="solid", color="black", weight=3]; 373[label="True",fontsize=16,color="green",shape="box"];374[label="False",fontsize=16,color="green",shape="box"];375[label="False",fontsize=16,color="green",shape="box"];376[label="True",fontsize=16,color="green",shape="box"];377 -> 227[label="",style="dashed", color="red", weight=0]; 377[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];377 -> 434[label="",style="dashed", color="magenta", weight=3]; 377 -> 435[label="",style="dashed", color="magenta", weight=3]; 378[label="True",fontsize=16,color="green",shape="box"];379[label="False",fontsize=16,color="green",shape="box"];380[label="False",fontsize=16,color="green",shape="box"];381[label="False",fontsize=16,color="green",shape="box"];382[label="True",fontsize=16,color="green",shape="box"];383[label="False",fontsize=16,color="green",shape="box"];384[label="False",fontsize=16,color="green",shape="box"];385[label="False",fontsize=16,color="green",shape="box"];386[label="True",fontsize=16,color="green",shape="box"];387[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];387 -> 436[label="",style="solid", color="black", weight=3]; 388 -> 291[label="",style="dashed", color="red", weight=0]; 388[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];388 -> 437[label="",style="dashed", color="magenta", weight=3]; 388 -> 438[label="",style="dashed", color="magenta", weight=3]; 389[label="primEqInt (Pos (Succ xv3000)) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];978[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];389 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 439[label="",style="solid", color="burlywood", weight=3]; 979[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];389 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 440[label="",style="solid", color="burlywood", weight=3]; 390[label="primEqInt (Pos (Succ xv3000)) (Neg xv4000)",fontsize=16,color="black",shape="box"];390 -> 441[label="",style="solid", color="black", weight=3]; 391[label="primEqInt (Pos Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];980[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];391 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 442[label="",style="solid", color="burlywood", weight=3]; 981[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];391 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 443[label="",style="solid", color="burlywood", weight=3]; 392[label="primEqInt (Pos Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];982[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];392 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 444[label="",style="solid", color="burlywood", weight=3]; 983[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];392 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 445[label="",style="solid", color="burlywood", weight=3]; 393[label="primEqInt (Neg (Succ xv3000)) (Pos xv4000)",fontsize=16,color="black",shape="box"];393 -> 446[label="",style="solid", color="black", weight=3]; 394[label="primEqInt (Neg (Succ xv3000)) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];984[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];394 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 447[label="",style="solid", color="burlywood", weight=3]; 985[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];394 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 448[label="",style="solid", color="burlywood", weight=3]; 395[label="primEqInt (Neg Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];986[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];395 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 449[label="",style="solid", color="burlywood", weight=3]; 987[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];395 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 450[label="",style="solid", color="burlywood", weight=3]; 396[label="primEqInt (Neg Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];988[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];396 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 451[label="",style="solid", color="burlywood", weight=3]; 989[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];396 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 452[label="",style="solid", color="burlywood", weight=3]; 397 -> 292[label="",style="dashed", color="red", weight=0]; 397[label="xv301 == xv4001",fontsize=16,color="magenta"];397 -> 453[label="",style="dashed", color="magenta", weight=3]; 397 -> 454[label="",style="dashed", color="magenta", weight=3]; 398[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];990[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 455[label="",style="solid", color="blue", weight=3]; 991[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 456[label="",style="solid", color="blue", weight=3]; 992[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 457[label="",style="solid", color="blue", weight=3]; 993[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 458[label="",style="solid", color="blue", weight=3]; 994[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 459[label="",style="solid", color="blue", weight=3]; 995[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 460[label="",style="solid", color="blue", weight=3]; 996[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 461[label="",style="solid", color="blue", weight=3]; 997[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 462[label="",style="solid", color="blue", weight=3]; 998[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 463[label="",style="solid", color="blue", weight=3]; 999[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 464[label="",style="solid", color="blue", weight=3]; 1000[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 465[label="",style="solid", color="blue", weight=3]; 1001[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 466[label="",style="solid", color="blue", weight=3]; 1002[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 467[label="",style="solid", color="blue", weight=3]; 1003[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];398 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 468[label="",style="solid", color="blue", weight=3]; 399 -> 290[label="",style="dashed", color="red", weight=0]; 399[label="xv300 == xv4000",fontsize=16,color="magenta"];399 -> 469[label="",style="dashed", color="magenta", weight=3]; 399 -> 470[label="",style="dashed", color="magenta", weight=3]; 400 -> 291[label="",style="dashed", color="red", weight=0]; 400[label="xv300 == xv4000",fontsize=16,color="magenta"];400 -> 471[label="",style="dashed", color="magenta", weight=3]; 400 -> 472[label="",style="dashed", color="magenta", weight=3]; 401 -> 292[label="",style="dashed", color="red", weight=0]; 401[label="xv300 == xv4000",fontsize=16,color="magenta"];401 -> 473[label="",style="dashed", color="magenta", weight=3]; 401 -> 474[label="",style="dashed", color="magenta", weight=3]; 402 -> 293[label="",style="dashed", color="red", weight=0]; 402[label="xv300 == xv4000",fontsize=16,color="magenta"];402 -> 475[label="",style="dashed", color="magenta", weight=3]; 402 -> 476[label="",style="dashed", color="magenta", weight=3]; 403 -> 294[label="",style="dashed", color="red", weight=0]; 403[label="xv300 == 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xv4000",fontsize=16,color="magenta"];423 -> 517[label="",style="dashed", color="magenta", weight=3]; 423 -> 518[label="",style="dashed", color="magenta", weight=3]; 424 -> 301[label="",style="dashed", color="red", weight=0]; 424[label="xv300 == xv4000",fontsize=16,color="magenta"];424 -> 519[label="",style="dashed", color="magenta", weight=3]; 424 -> 520[label="",style="dashed", color="magenta", weight=3]; 425 -> 302[label="",style="dashed", color="red", weight=0]; 425[label="xv300 == xv4000",fontsize=16,color="magenta"];425 -> 521[label="",style="dashed", color="magenta", weight=3]; 425 -> 522[label="",style="dashed", color="magenta", weight=3]; 426 -> 303[label="",style="dashed", color="red", weight=0]; 426[label="xv300 == xv4000",fontsize=16,color="magenta"];426 -> 523[label="",style="dashed", color="magenta", weight=3]; 426 -> 524[label="",style="dashed", color="magenta", weight=3]; 427[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1004[label="== :: Float -> Float 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1008 -> 529[label="",style="solid", color="blue", weight=3]; 1009[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 530[label="",style="solid", color="blue", weight=3]; 1010[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 531[label="",style="solid", color="blue", weight=3]; 1011[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 532[label="",style="solid", color="blue", weight=3]; 1012[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 533[label="",style="solid", color="blue", weight=3]; 1013[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 534[label="",style="solid", color="blue", weight=3]; 1014[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 535[label="",style="solid", color="blue", weight=3]; 1015[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 536[label="",style="solid", color="blue", weight=3]; 1016[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 537[label="",style="solid", color="blue", weight=3]; 1017[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];427 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 538[label="",style="solid", color="blue", weight=3]; 428[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1018[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 539[label="",style="solid", color="blue", weight=3]; 1019[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 540[label="",style="solid", color="blue", weight=3]; 1020[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 541[label="",style="solid", color="blue", weight=3]; 1021[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 542[label="",style="solid", color="blue", weight=3]; 1022[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 543[label="",style="solid", color="blue", weight=3]; 1023[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 544[label="",style="solid", color="blue", weight=3]; 1024[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 545[label="",style="solid", color="blue", weight=3]; 1025[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 546[label="",style="solid", color="blue", weight=3]; 1026[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 547[label="",style="solid", color="blue", weight=3]; 1027[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 548[label="",style="solid", color="blue", weight=3]; 1028[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 549[label="",style="solid", color="blue", weight=3]; 1029[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 550[label="",style="solid", color="blue", weight=3]; 1030[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 551[label="",style="solid", color="blue", weight=3]; 1031[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];428 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 552[label="",style="solid", color="blue", weight=3]; 429[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1032[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];429 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 553[label="",style="solid", color="blue", weight=3]; 1033[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];429 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 554[label="",style="solid", color="blue", weight=3]; 430[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1034[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];430 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 555[label="",style="solid", color="blue", weight=3]; 1035[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];430 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 556[label="",style="solid", color="blue", weight=3]; 431[label="xv300",fontsize=16,color="green",shape="box"];432[label="xv4000",fontsize=16,color="green",shape="box"];433 -> 291[label="",style="dashed", color="red", weight=0]; 433[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];433 -> 557[label="",style="dashed", color="magenta", weight=3]; 433 -> 558[label="",style="dashed", color="magenta", weight=3]; 434 -> 227[label="",style="dashed", color="red", weight=0]; 434[label="xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];434 -> 559[label="",style="dashed", color="magenta", weight=3]; 434 -> 560[label="",style="dashed", color="magenta", weight=3]; 435[label="xv300 == 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Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1040[label="",style="solid", color="blue", weight=9]; 1040 -> 565[label="",style="solid", color="blue", weight=3]; 1041[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1041[label="",style="solid", color="blue", weight=9]; 1041 -> 566[label="",style="solid", color="blue", weight=3]; 1042[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1042[label="",style="solid", color="blue", weight=9]; 1042 -> 567[label="",style="solid", color="blue", weight=3]; 1043[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 568[label="",style="solid", color="blue", weight=3]; 1044[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 569[label="",style="solid", color="blue", weight=3]; 1045[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 570[label="",style="solid", color="blue", weight=3]; 1046[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 571[label="",style="solid", color="blue", weight=3]; 1047[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 572[label="",style="solid", color="blue", weight=3]; 1048[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 573[label="",style="solid", color="blue", weight=3]; 1049[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];435 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 574[label="",style="solid", color="blue", weight=3]; 436[label="primEqNat xv300 xv4000",fontsize=16,color="burlywood",shape="triangle"];1050[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];436 -> 1050[label="",style="solid", color="burlywood", weight=9]; 1050 -> 575[label="",style="solid", color="burlywood", weight=3]; 1051[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];436 -> 1051[label="",style="solid", color="burlywood", weight=9]; 1051 -> 576[label="",style="solid", color="burlywood", weight=3]; 437[label="xv300 * xv4001",fontsize=16,color="black",shape="triangle"];437 -> 577[label="",style="solid", color="black", weight=3]; 438 -> 437[label="",style="dashed", color="red", weight=0]; 438[label="xv301 * xv4000",fontsize=16,color="magenta"];438 -> 578[label="",style="dashed", color="magenta", weight=3]; 438 -> 579[label="",style="dashed", color="magenta", weight=3]; 439[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];439 -> 580[label="",style="solid", color="black", weight=3]; 440[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];440 -> 581[label="",style="solid", color="black", weight=3]; 441[label="False",fontsize=16,color="green",shape="box"];442[label="primEqInt (Pos Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];442 -> 582[label="",style="solid", color="black", weight=3]; 443[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];443 -> 583[label="",style="solid", color="black", weight=3]; 444[label="primEqInt (Pos Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];444 -> 584[label="",style="solid", color="black", weight=3]; 445[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];445 -> 585[label="",style="solid", color="black", weight=3]; 446[label="False",fontsize=16,color="green",shape="box"];447[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];447 -> 586[label="",style="solid", color="black", weight=3]; 448[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];448 -> 587[label="",style="solid", color="black", weight=3]; 449[label="primEqInt (Neg Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];449 -> 588[label="",style="solid", color="black", weight=3]; 450[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];450 -> 589[label="",style="solid", color="black", weight=3]; 451[label="primEqInt (Neg Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];451 -> 590[label="",style="solid", color="black", weight=3]; 452[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];452 -> 591[label="",style="solid", color="black", weight=3]; 453[label="xv301",fontsize=16,color="green",shape="box"];454[label="xv4001",fontsize=16,color="green",shape="box"];455 -> 290[label="",style="dashed", color="red", weight=0]; 455[label="xv300 == xv4000",fontsize=16,color="magenta"];455 -> 592[label="",style="dashed", color="magenta", weight=3]; 455 -> 593[label="",style="dashed", color="magenta", weight=3]; 456 -> 291[label="",style="dashed", color="red", weight=0]; 456[label="xv300 == xv4000",fontsize=16,color="magenta"];456 -> 594[label="",style="dashed", color="magenta", weight=3]; 456 -> 595[label="",style="dashed", color="magenta", weight=3]; 457 -> 292[label="",style="dashed", color="red", weight=0]; 457[label="xv300 == xv4000",fontsize=16,color="magenta"];457 -> 596[label="",style="dashed", color="magenta", weight=3]; 457 -> 597[label="",style="dashed", color="magenta", weight=3]; 458 -> 293[label="",style="dashed", color="red", weight=0]; 458[label="xv300 == xv4000",fontsize=16,color="magenta"];458 -> 598[label="",style="dashed", color="magenta", weight=3]; 458 -> 599[label="",style="dashed", color="magenta", weight=3]; 459 -> 294[label="",style="dashed", color="red", weight=0]; 459[label="xv300 == xv4000",fontsize=16,color="magenta"];459 -> 600[label="",style="dashed", color="magenta", weight=3]; 459 -> 601[label="",style="dashed", color="magenta", weight=3]; 460 -> 295[label="",style="dashed", color="red", weight=0]; 460[label="xv300 == xv4000",fontsize=16,color="magenta"];460 -> 602[label="",style="dashed", color="magenta", weight=3]; 460 -> 603[label="",style="dashed", color="magenta", weight=3]; 461 -> 271[label="",style="dashed", color="red", weight=0]; 461[label="xv300 == xv4000",fontsize=16,color="magenta"];461 -> 604[label="",style="dashed", color="magenta", weight=3]; 461 -> 605[label="",style="dashed", color="magenta", weight=3]; 462 -> 297[label="",style="dashed", color="red", weight=0]; 462[label="xv300 == xv4000",fontsize=16,color="magenta"];462 -> 606[label="",style="dashed", color="magenta", weight=3]; 462 -> 607[label="",style="dashed", color="magenta", weight=3]; 463 -> 298[label="",style="dashed", color="red", weight=0]; 463[label="xv300 == xv4000",fontsize=16,color="magenta"];463 -> 608[label="",style="dashed", color="magenta", weight=3]; 463 -> 609[label="",style="dashed", color="magenta", weight=3]; 464 -> 299[label="",style="dashed", color="red", weight=0]; 464[label="xv300 == xv4000",fontsize=16,color="magenta"];464 -> 610[label="",style="dashed", color="magenta", weight=3]; 464 -> 611[label="",style="dashed", color="magenta", weight=3]; 465 -> 300[label="",style="dashed", color="red", weight=0]; 465[label="xv300 == xv4000",fontsize=16,color="magenta"];465 -> 612[label="",style="dashed", color="magenta", weight=3]; 465 -> 613[label="",style="dashed", color="magenta", weight=3]; 466 -> 301[label="",style="dashed", color="red", weight=0]; 466[label="xv300 == xv4000",fontsize=16,color="magenta"];466 -> 614[label="",style="dashed", color="magenta", weight=3]; 466 -> 615[label="",style="dashed", color="magenta", weight=3]; 467 -> 302[label="",style="dashed", color="red", weight=0]; 467[label="xv300 == xv4000",fontsize=16,color="magenta"];467 -> 616[label="",style="dashed", color="magenta", weight=3]; 467 -> 617[label="",style="dashed", color="magenta", weight=3]; 468 -> 303[label="",style="dashed", color="red", weight=0]; 468[label="xv300 == xv4000",fontsize=16,color="magenta"];468 -> 618[label="",style="dashed", color="magenta", weight=3]; 468 -> 619[label="",style="dashed", color="magenta", weight=3]; 469[label="xv300",fontsize=16,color="green",shape="box"];470[label="xv4000",fontsize=16,color="green",shape="box"];471[label="xv300",fontsize=16,color="green",shape="box"];472[label="xv4000",fontsize=16,color="green",shape="box"];473[label="xv300",fontsize=16,color="green",shape="box"];474[label="xv4000",fontsize=16,color="green",shape="box"];475[label="xv300",fontsize=16,color="green",shape="box"];476[label="xv4000",fontsize=16,color="green",shape="box"];477[label="xv300",fontsize=16,color="green",shape="box"];478[label="xv4000",fontsize=16,color="green",shape="box"];479[label="xv300",fontsize=16,color="green",shape="box"];480[label="xv4000",fontsize=16,color="green",shape="box"];481[label="xv4000",fontsize=16,color="green",shape="box"];482[label="xv300",fontsize=16,color="green",shape="box"];483[label="xv300",fontsize=16,color="green",shape="box"];484[label="xv4000",fontsize=16,color="green",shape="box"];485[label="xv300",fontsize=16,color="green",shape="box"];486[label="xv4000",fontsize=16,color="green",shape="box"];487[label="xv300",fontsize=16,color="green",shape="box"];488[label="xv4000",fontsize=16,color="green",shape="box"];489[label="xv300",fontsize=16,color="green",shape="box"];490[label="xv4000",fontsize=16,color="green",shape="box"];491[label="xv300",fontsize=16,color="green",shape="box"];492[label="xv4000",fontsize=16,color="green",shape="box"];493[label="xv300",fontsize=16,color="green",shape="box"];494[label="xv4000",fontsize=16,color="green",shape="box"];495[label="xv300",fontsize=16,color="green",shape="box"];496[label="xv4000",fontsize=16,color="green",shape="box"];497[label="xv300",fontsize=16,color="green",shape="box"];498[label="xv4000",fontsize=16,color="green",shape="box"];499[label="xv300",fontsize=16,color="green",shape="box"];500[label="xv4000",fontsize=16,color="green",shape="box"];501[label="xv300",fontsize=16,color="green",shape="box"];502[label="xv4000",fontsize=16,color="green",shape="box"];503[label="xv300",fontsize=16,color="green",shape="box"];504[label="xv4000",fontsize=16,color="green",shape="box"];505[label="xv300",fontsize=16,color="green",shape="box"];506[label="xv4000",fontsize=16,color="green",shape="box"];507[label="xv300",fontsize=16,color="green",shape="box"];508[label="xv4000",fontsize=16,color="green",shape="box"];509[label="xv4000",fontsize=16,color="green",shape="box"];510[label="xv300",fontsize=16,color="green",shape="box"];511[label="xv300",fontsize=16,color="green",shape="box"];512[label="xv4000",fontsize=16,color="green",shape="box"];513[label="xv300",fontsize=16,color="green",shape="box"];514[label="xv4000",fontsize=16,color="green",shape="box"];515[label="xv300",fontsize=16,color="green",shape="box"];516[label="xv4000",fontsize=16,color="green",shape="box"];517[label="xv300",fontsize=16,color="green",shape="box"];518[label="xv4000",fontsize=16,color="green",shape="box"];519[label="xv300",fontsize=16,color="green",shape="box"];520[label="xv4000",fontsize=16,color="green",shape="box"];521[label="xv300",fontsize=16,color="green",shape="box"];522[label="xv4000",fontsize=16,color="green",shape="box"];523[label="xv300",fontsize=16,color="green",shape="box"];524[label="xv4000",fontsize=16,color="green",shape="box"];525 -> 290[label="",style="dashed", color="red", weight=0]; 525[label="xv301 == xv4001",fontsize=16,color="magenta"];525 -> 620[label="",style="dashed", color="magenta", weight=3]; 525 -> 621[label="",style="dashed", color="magenta", weight=3]; 526 -> 291[label="",style="dashed", color="red", weight=0]; 526[label="xv301 == xv4001",fontsize=16,color="magenta"];526 -> 622[label="",style="dashed", color="magenta", weight=3]; 526 -> 623[label="",style="dashed", color="magenta", weight=3]; 527 -> 292[label="",style="dashed", color="red", weight=0]; 527[label="xv301 == xv4001",fontsize=16,color="magenta"];527 -> 624[label="",style="dashed", color="magenta", weight=3]; 527 -> 625[label="",style="dashed", color="magenta", weight=3]; 528 -> 293[label="",style="dashed", color="red", weight=0]; 528[label="xv301 == xv4001",fontsize=16,color="magenta"];528 -> 626[label="",style="dashed", color="magenta", weight=3]; 528 -> 627[label="",style="dashed", color="magenta", weight=3]; 529 -> 294[label="",style="dashed", color="red", weight=0]; 529[label="xv301 == xv4001",fontsize=16,color="magenta"];529 -> 628[label="",style="dashed", color="magenta", weight=3]; 529 -> 629[label="",style="dashed", color="magenta", weight=3]; 530 -> 295[label="",style="dashed", color="red", weight=0]; 530[label="xv301 == xv4001",fontsize=16,color="magenta"];530 -> 630[label="",style="dashed", color="magenta", weight=3]; 530 -> 631[label="",style="dashed", color="magenta", weight=3]; 531 -> 271[label="",style="dashed", color="red", weight=0]; 531[label="xv301 == xv4001",fontsize=16,color="magenta"];531 -> 632[label="",style="dashed", color="magenta", weight=3]; 531 -> 633[label="",style="dashed", color="magenta", weight=3]; 532 -> 297[label="",style="dashed", color="red", weight=0]; 532[label="xv301 == xv4001",fontsize=16,color="magenta"];532 -> 634[label="",style="dashed", color="magenta", weight=3]; 532 -> 635[label="",style="dashed", color="magenta", weight=3]; 533 -> 298[label="",style="dashed", color="red", weight=0]; 533[label="xv301 == xv4001",fontsize=16,color="magenta"];533 -> 636[label="",style="dashed", color="magenta", weight=3]; 533 -> 637[label="",style="dashed", color="magenta", weight=3]; 534 -> 299[label="",style="dashed", color="red", weight=0]; 534[label="xv301 == xv4001",fontsize=16,color="magenta"];534 -> 638[label="",style="dashed", color="magenta", weight=3]; 534 -> 639[label="",style="dashed", color="magenta", weight=3]; 535 -> 300[label="",style="dashed", color="red", weight=0]; 535[label="xv301 == xv4001",fontsize=16,color="magenta"];535 -> 640[label="",style="dashed", color="magenta", weight=3]; 535 -> 641[label="",style="dashed", color="magenta", weight=3]; 536 -> 301[label="",style="dashed", color="red", weight=0]; 536[label="xv301 == xv4001",fontsize=16,color="magenta"];536 -> 642[label="",style="dashed", color="magenta", weight=3]; 536 -> 643[label="",style="dashed", color="magenta", weight=3]; 537 -> 302[label="",style="dashed", color="red", weight=0]; 537[label="xv301 == xv4001",fontsize=16,color="magenta"];537 -> 644[label="",style="dashed", color="magenta", weight=3]; 537 -> 645[label="",style="dashed", color="magenta", weight=3]; 538 -> 303[label="",style="dashed", color="red", weight=0]; 538[label="xv301 == xv4001",fontsize=16,color="magenta"];538 -> 646[label="",style="dashed", color="magenta", weight=3]; 538 -> 647[label="",style="dashed", color="magenta", weight=3]; 539 -> 290[label="",style="dashed", color="red", weight=0]; 539[label="xv300 == xv4000",fontsize=16,color="magenta"];539 -> 648[label="",style="dashed", color="magenta", weight=3]; 539 -> 649[label="",style="dashed", color="magenta", weight=3]; 540 -> 291[label="",style="dashed", color="red", weight=0]; 540[label="xv300 == xv4000",fontsize=16,color="magenta"];540 -> 650[label="",style="dashed", color="magenta", weight=3]; 540 -> 651[label="",style="dashed", color="magenta", weight=3]; 541 -> 292[label="",style="dashed", color="red", weight=0]; 541[label="xv300 == xv4000",fontsize=16,color="magenta"];541 -> 652[label="",style="dashed", color="magenta", weight=3]; 541 -> 653[label="",style="dashed", color="magenta", weight=3]; 542 -> 293[label="",style="dashed", color="red", weight=0]; 542[label="xv300 == xv4000",fontsize=16,color="magenta"];542 -> 654[label="",style="dashed", color="magenta", weight=3]; 542 -> 655[label="",style="dashed", color="magenta", weight=3]; 543 -> 294[label="",style="dashed", color="red", weight=0]; 543[label="xv300 == xv4000",fontsize=16,color="magenta"];543 -> 656[label="",style="dashed", color="magenta", weight=3]; 543 -> 657[label="",style="dashed", color="magenta", weight=3]; 544 -> 295[label="",style="dashed", color="red", weight=0]; 544[label="xv300 == xv4000",fontsize=16,color="magenta"];544 -> 658[label="",style="dashed", color="magenta", weight=3]; 544 -> 659[label="",style="dashed", color="magenta", weight=3]; 545 -> 271[label="",style="dashed", color="red", weight=0]; 545[label="xv300 == xv4000",fontsize=16,color="magenta"];545 -> 660[label="",style="dashed", color="magenta", weight=3]; 545 -> 661[label="",style="dashed", color="magenta", weight=3]; 546 -> 297[label="",style="dashed", color="red", weight=0]; 546[label="xv300 == xv4000",fontsize=16,color="magenta"];546 -> 662[label="",style="dashed", color="magenta", weight=3]; 546 -> 663[label="",style="dashed", color="magenta", weight=3]; 547 -> 298[label="",style="dashed", color="red", weight=0]; 547[label="xv300 == xv4000",fontsize=16,color="magenta"];547 -> 664[label="",style="dashed", color="magenta", weight=3]; 547 -> 665[label="",style="dashed", color="magenta", weight=3]; 548 -> 299[label="",style="dashed", color="red", weight=0]; 548[label="xv300 == xv4000",fontsize=16,color="magenta"];548 -> 666[label="",style="dashed", color="magenta", weight=3]; 548 -> 667[label="",style="dashed", color="magenta", weight=3]; 549 -> 300[label="",style="dashed", color="red", weight=0]; 549[label="xv300 == xv4000",fontsize=16,color="magenta"];549 -> 668[label="",style="dashed", color="magenta", weight=3]; 549 -> 669[label="",style="dashed", color="magenta", weight=3]; 550 -> 301[label="",style="dashed", color="red", weight=0]; 550[label="xv300 == xv4000",fontsize=16,color="magenta"];550 -> 670[label="",style="dashed", color="magenta", weight=3]; 550 -> 671[label="",style="dashed", color="magenta", weight=3]; 551 -> 302[label="",style="dashed", color="red", weight=0]; 551[label="xv300 == xv4000",fontsize=16,color="magenta"];551 -> 672[label="",style="dashed", color="magenta", weight=3]; 551 -> 673[label="",style="dashed", color="magenta", weight=3]; 552 -> 303[label="",style="dashed", color="red", weight=0]; 552[label="xv300 == xv4000",fontsize=16,color="magenta"];552 -> 674[label="",style="dashed", color="magenta", weight=3]; 552 -> 675[label="",style="dashed", color="magenta", weight=3]; 553 -> 291[label="",style="dashed", color="red", weight=0]; 553[label="xv301 == xv4001",fontsize=16,color="magenta"];553 -> 676[label="",style="dashed", color="magenta", weight=3]; 553 -> 677[label="",style="dashed", color="magenta", weight=3]; 554 -> 298[label="",style="dashed", color="red", weight=0]; 554[label="xv301 == xv4001",fontsize=16,color="magenta"];554 -> 678[label="",style="dashed", color="magenta", weight=3]; 554 -> 679[label="",style="dashed", color="magenta", weight=3]; 555 -> 291[label="",style="dashed", color="red", weight=0]; 555[label="xv300 == xv4000",fontsize=16,color="magenta"];555 -> 680[label="",style="dashed", color="magenta", weight=3]; 555 -> 681[label="",style="dashed", color="magenta", weight=3]; 556 -> 298[label="",style="dashed", color="red", weight=0]; 556[label="xv300 == xv4000",fontsize=16,color="magenta"];556 -> 682[label="",style="dashed", color="magenta", weight=3]; 556 -> 683[label="",style="dashed", color="magenta", weight=3]; 557 -> 437[label="",style="dashed", color="red", weight=0]; 557[label="xv300 * xv4001",fontsize=16,color="magenta"];557 -> 684[label="",style="dashed", color="magenta", weight=3]; 557 -> 685[label="",style="dashed", color="magenta", weight=3]; 558 -> 437[label="",style="dashed", color="red", weight=0]; 558[label="xv301 * xv4000",fontsize=16,color="magenta"];558 -> 686[label="",style="dashed", color="magenta", weight=3]; 558 -> 687[label="",style="dashed", color="magenta", weight=3]; 559[label="xv302 == xv4002",fontsize=16,color="blue",shape="box"];1052[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 688[label="",style="solid", color="blue", weight=3]; 1053[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 689[label="",style="solid", color="blue", weight=3]; 1054[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 690[label="",style="solid", color="blue", weight=3]; 1055[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 691[label="",style="solid", color="blue", weight=3]; 1056[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 692[label="",style="solid", color="blue", weight=3]; 1057[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 693[label="",style="solid", color="blue", weight=3]; 1058[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 694[label="",style="solid", color="blue", weight=3]; 1059[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 695[label="",style="solid", color="blue", weight=3]; 1060[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1060[label="",style="solid", color="blue", weight=9]; 1060 -> 696[label="",style="solid", color="blue", weight=3]; 1061[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1061[label="",style="solid", color="blue", weight=9]; 1061 -> 697[label="",style="solid", color="blue", weight=3]; 1062[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1062[label="",style="solid", color="blue", weight=9]; 1062 -> 698[label="",style="solid", color="blue", weight=3]; 1063[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1063[label="",style="solid", color="blue", weight=9]; 1063 -> 699[label="",style="solid", color="blue", weight=3]; 1064[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1064[label="",style="solid", color="blue", weight=9]; 1064 -> 700[label="",style="solid", color="blue", weight=3]; 1065[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];559 -> 1065[label="",style="solid", color="blue", weight=9]; 1065 -> 701[label="",style="solid", color="blue", weight=3]; 560[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1066[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 702[label="",style="solid", color="blue", weight=3]; 1067[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 703[label="",style="solid", color="blue", weight=3]; 1068[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 704[label="",style="solid", color="blue", weight=3]; 1069[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 705[label="",style="solid", color="blue", weight=3]; 1070[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 706[label="",style="solid", color="blue", weight=3]; 1071[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 707[label="",style="solid", color="blue", weight=3]; 1072[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 708[label="",style="solid", color="blue", weight=3]; 1073[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 709[label="",style="solid", color="blue", weight=3]; 1074[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 710[label="",style="solid", color="blue", weight=3]; 1075[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 711[label="",style="solid", color="blue", weight=3]; 1076[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 712[label="",style="solid", color="blue", weight=3]; 1077[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 713[label="",style="solid", color="blue", weight=3]; 1078[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 714[label="",style="solid", color="blue", weight=3]; 1079[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 715[label="",style="solid", color="blue", weight=3]; 561 -> 290[label="",style="dashed", color="red", weight=0]; 561[label="xv300 == xv4000",fontsize=16,color="magenta"];561 -> 716[label="",style="dashed", color="magenta", weight=3]; 561 -> 717[label="",style="dashed", color="magenta", weight=3]; 562 -> 291[label="",style="dashed", color="red", weight=0]; 562[label="xv300 == xv4000",fontsize=16,color="magenta"];562 -> 718[label="",style="dashed", color="magenta", weight=3]; 562 -> 719[label="",style="dashed", color="magenta", weight=3]; 563 -> 292[label="",style="dashed", color="red", weight=0]; 563[label="xv300 == xv4000",fontsize=16,color="magenta"];563 -> 720[label="",style="dashed", color="magenta", weight=3]; 563 -> 721[label="",style="dashed", color="magenta", weight=3]; 564 -> 293[label="",style="dashed", color="red", weight=0]; 564[label="xv300 == xv4000",fontsize=16,color="magenta"];564 -> 722[label="",style="dashed", color="magenta", weight=3]; 564 -> 723[label="",style="dashed", color="magenta", weight=3]; 565 -> 294[label="",style="dashed", color="red", weight=0]; 565[label="xv300 == xv4000",fontsize=16,color="magenta"];565 -> 724[label="",style="dashed", color="magenta", weight=3]; 565 -> 725[label="",style="dashed", color="magenta", weight=3]; 566 -> 295[label="",style="dashed", color="red", weight=0]; 566[label="xv300 == xv4000",fontsize=16,color="magenta"];566 -> 726[label="",style="dashed", color="magenta", weight=3]; 566 -> 727[label="",style="dashed", color="magenta", weight=3]; 567 -> 271[label="",style="dashed", color="red", weight=0]; 567[label="xv300 == xv4000",fontsize=16,color="magenta"];567 -> 728[label="",style="dashed", color="magenta", weight=3]; 567 -> 729[label="",style="dashed", color="magenta", weight=3]; 568 -> 297[label="",style="dashed", color="red", weight=0]; 568[label="xv300 == xv4000",fontsize=16,color="magenta"];568 -> 730[label="",style="dashed", color="magenta", weight=3]; 568 -> 731[label="",style="dashed", color="magenta", weight=3]; 569 -> 298[label="",style="dashed", color="red", weight=0]; 569[label="xv300 == xv4000",fontsize=16,color="magenta"];569 -> 732[label="",style="dashed", color="magenta", weight=3]; 569 -> 733[label="",style="dashed", color="magenta", weight=3]; 570 -> 299[label="",style="dashed", color="red", weight=0]; 570[label="xv300 == xv4000",fontsize=16,color="magenta"];570 -> 734[label="",style="dashed", color="magenta", weight=3]; 570 -> 735[label="",style="dashed", color="magenta", weight=3]; 571 -> 300[label="",style="dashed", color="red", weight=0]; 571[label="xv300 == xv4000",fontsize=16,color="magenta"];571 -> 736[label="",style="dashed", color="magenta", weight=3]; 571 -> 737[label="",style="dashed", color="magenta", weight=3]; 572 -> 301[label="",style="dashed", color="red", weight=0]; 572[label="xv300 == xv4000",fontsize=16,color="magenta"];572 -> 738[label="",style="dashed", color="magenta", weight=3]; 572 -> 739[label="",style="dashed", color="magenta", weight=3]; 573 -> 302[label="",style="dashed", color="red", weight=0]; 573[label="xv300 == xv4000",fontsize=16,color="magenta"];573 -> 740[label="",style="dashed", color="magenta", weight=3]; 573 -> 741[label="",style="dashed", color="magenta", weight=3]; 574 -> 303[label="",style="dashed", color="red", weight=0]; 574[label="xv300 == xv4000",fontsize=16,color="magenta"];574 -> 742[label="",style="dashed", color="magenta", weight=3]; 574 -> 743[label="",style="dashed", color="magenta", weight=3]; 575[label="primEqNat (Succ xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];1080[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];575 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 744[label="",style="solid", color="burlywood", weight=3]; 1081[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];575 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 745[label="",style="solid", color="burlywood", weight=3]; 576[label="primEqNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1082[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];576 -> 1082[label="",style="solid", color="burlywood", weight=9]; 1082 -> 746[label="",style="solid", color="burlywood", weight=3]; 1083[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];576 -> 1083[label="",style="solid", color="burlywood", weight=9]; 1083 -> 747[label="",style="solid", color="burlywood", weight=3]; 577[label="primMulInt xv300 xv4001",fontsize=16,color="burlywood",shape="box"];1084[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];577 -> 1084[label="",style="solid", color="burlywood", weight=9]; 1084 -> 748[label="",style="solid", color="burlywood", weight=3]; 1085[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];577 -> 1085[label="",style="solid", color="burlywood", weight=9]; 1085 -> 749[label="",style="solid", color="burlywood", weight=3]; 578[label="xv301",fontsize=16,color="green",shape="box"];579[label="xv4000",fontsize=16,color="green",shape="box"];580 -> 436[label="",style="dashed", color="red", weight=0]; 580[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];580 -> 750[label="",style="dashed", color="magenta", weight=3]; 580 -> 751[label="",style="dashed", color="magenta", weight=3]; 581[label="False",fontsize=16,color="green",shape="box"];582[label="False",fontsize=16,color="green",shape="box"];583[label="True",fontsize=16,color="green",shape="box"];584[label="False",fontsize=16,color="green",shape="box"];585[label="True",fontsize=16,color="green",shape="box"];586 -> 436[label="",style="dashed", color="red", weight=0]; 586[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];586 -> 752[label="",style="dashed", color="magenta", weight=3]; 586 -> 753[label="",style="dashed", color="magenta", weight=3]; 587[label="False",fontsize=16,color="green",shape="box"];588[label="False",fontsize=16,color="green",shape="box"];589[label="True",fontsize=16,color="green",shape="box"];590[label="False",fontsize=16,color="green",shape="box"];591[label="True",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="xv300",fontsize=16,color="green",shape="box"];595[label="xv4000",fontsize=16,color="green",shape="box"];596[label="xv300",fontsize=16,color="green",shape="box"];597[label="xv4000",fontsize=16,color="green",shape="box"];598[label="xv300",fontsize=16,color="green",shape="box"];599[label="xv4000",fontsize=16,color="green",shape="box"];600[label="xv300",fontsize=16,color="green",shape="box"];601[label="xv4000",fontsize=16,color="green",shape="box"];602[label="xv300",fontsize=16,color="green",shape="box"];603[label="xv4000",fontsize=16,color="green",shape="box"];604[label="xv4000",fontsize=16,color="green",shape="box"];605[label="xv300",fontsize=16,color="green",shape="box"];606[label="xv300",fontsize=16,color="green",shape="box"];607[label="xv4000",fontsize=16,color="green",shape="box"];608[label="xv300",fontsize=16,color="green",shape="box"];609[label="xv4000",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="xv300",fontsize=16,color="green",shape="box"];613[label="xv4000",fontsize=16,color="green",shape="box"];614[label="xv300",fontsize=16,color="green",shape="box"];615[label="xv4000",fontsize=16,color="green",shape="box"];616[label="xv300",fontsize=16,color="green",shape="box"];617[label="xv4000",fontsize=16,color="green",shape="box"];618[label="xv300",fontsize=16,color="green",shape="box"];619[label="xv4000",fontsize=16,color="green",shape="box"];620[label="xv301",fontsize=16,color="green",shape="box"];621[label="xv4001",fontsize=16,color="green",shape="box"];622[label="xv301",fontsize=16,color="green",shape="box"];623[label="xv4001",fontsize=16,color="green",shape="box"];624[label="xv301",fontsize=16,color="green",shape="box"];625[label="xv4001",fontsize=16,color="green",shape="box"];626[label="xv301",fontsize=16,color="green",shape="box"];627[label="xv4001",fontsize=16,color="green",shape="box"];628[label="xv301",fontsize=16,color="green",shape="box"];629[label="xv4001",fontsize=16,color="green",shape="box"];630[label="xv301",fontsize=16,color="green",shape="box"];631[label="xv4001",fontsize=16,color="green",shape="box"];632[label="xv4001",fontsize=16,color="green",shape="box"];633[label="xv301",fontsize=16,color="green",shape="box"];634[label="xv301",fontsize=16,color="green",shape="box"];635[label="xv4001",fontsize=16,color="green",shape="box"];636[label="xv301",fontsize=16,color="green",shape="box"];637[label="xv4001",fontsize=16,color="green",shape="box"];638[label="xv301",fontsize=16,color="green",shape="box"];639[label="xv4001",fontsize=16,color="green",shape="box"];640[label="xv301",fontsize=16,color="green",shape="box"];641[label="xv4001",fontsize=16,color="green",shape="box"];642[label="xv301",fontsize=16,color="green",shape="box"];643[label="xv4001",fontsize=16,color="green",shape="box"];644[label="xv301",fontsize=16,color="green",shape="box"];645[label="xv4001",fontsize=16,color="green",shape="box"];646[label="xv301",fontsize=16,color="green",shape="box"];647[label="xv4001",fontsize=16,color="green",shape="box"];648[label="xv300",fontsize=16,color="green",shape="box"];649[label="xv4000",fontsize=16,color="green",shape="box"];650[label="xv300",fontsize=16,color="green",shape="box"];651[label="xv4000",fontsize=16,color="green",shape="box"];652[label="xv300",fontsize=16,color="green",shape="box"];653[label="xv4000",fontsize=16,color="green",shape="box"];654[label="xv300",fontsize=16,color="green",shape="box"];655[label="xv4000",fontsize=16,color="green",shape="box"];656[label="xv300",fontsize=16,color="green",shape="box"];657[label="xv4000",fontsize=16,color="green",shape="box"];658[label="xv300",fontsize=16,color="green",shape="box"];659[label="xv4000",fontsize=16,color="green",shape="box"];660[label="xv4000",fontsize=16,color="green",shape="box"];661[label="xv300",fontsize=16,color="green",shape="box"];662[label="xv300",fontsize=16,color="green",shape="box"];663[label="xv4000",fontsize=16,color="green",shape="box"];664[label="xv300",fontsize=16,color="green",shape="box"];665[label="xv4000",fontsize=16,color="green",shape="box"];666[label="xv300",fontsize=16,color="green",shape="box"];667[label="xv4000",fontsize=16,color="green",shape="box"];668[label="xv300",fontsize=16,color="green",shape="box"];669[label="xv4000",fontsize=16,color="green",shape="box"];670[label="xv300",fontsize=16,color="green",shape="box"];671[label="xv4000",fontsize=16,color="green",shape="box"];672[label="xv300",fontsize=16,color="green",shape="box"];673[label="xv4000",fontsize=16,color="green",shape="box"];674[label="xv300",fontsize=16,color="green",shape="box"];675[label="xv4000",fontsize=16,color="green",shape="box"];676[label="xv301",fontsize=16,color="green",shape="box"];677[label="xv4001",fontsize=16,color="green",shape="box"];678[label="xv301",fontsize=16,color="green",shape="box"];679[label="xv4001",fontsize=16,color="green",shape="box"];680[label="xv300",fontsize=16,color="green",shape="box"];681[label="xv4000",fontsize=16,color="green",shape="box"];682[label="xv300",fontsize=16,color="green",shape="box"];683[label="xv4000",fontsize=16,color="green",shape="box"];684[label="xv300",fontsize=16,color="green",shape="box"];685[label="xv4001",fontsize=16,color="green",shape="box"];686[label="xv301",fontsize=16,color="green",shape="box"];687[label="xv4000",fontsize=16,color="green",shape="box"];688 -> 290[label="",style="dashed", color="red", weight=0]; 688[label="xv302 == xv4002",fontsize=16,color="magenta"];688 -> 754[label="",style="dashed", color="magenta", weight=3]; 688 -> 755[label="",style="dashed", color="magenta", weight=3]; 689 -> 291[label="",style="dashed", color="red", weight=0]; 689[label="xv302 == xv4002",fontsize=16,color="magenta"];689 -> 756[label="",style="dashed", color="magenta", weight=3]; 689 -> 757[label="",style="dashed", color="magenta", weight=3]; 690 -> 292[label="",style="dashed", color="red", weight=0]; 690[label="xv302 == xv4002",fontsize=16,color="magenta"];690 -> 758[label="",style="dashed", color="magenta", weight=3]; 690 -> 759[label="",style="dashed", color="magenta", weight=3]; 691 -> 293[label="",style="dashed", color="red", weight=0]; 691[label="xv302 == xv4002",fontsize=16,color="magenta"];691 -> 760[label="",style="dashed", color="magenta", weight=3]; 691 -> 761[label="",style="dashed", color="magenta", weight=3]; 692 -> 294[label="",style="dashed", color="red", weight=0]; 692[label="xv302 == xv4002",fontsize=16,color="magenta"];692 -> 762[label="",style="dashed", color="magenta", weight=3]; 692 -> 763[label="",style="dashed", color="magenta", weight=3]; 693 -> 295[label="",style="dashed", color="red", weight=0]; 693[label="xv302 == xv4002",fontsize=16,color="magenta"];693 -> 764[label="",style="dashed", color="magenta", weight=3]; 693 -> 765[label="",style="dashed", color="magenta", weight=3]; 694 -> 271[label="",style="dashed", color="red", weight=0]; 694[label="xv302 == xv4002",fontsize=16,color="magenta"];694 -> 766[label="",style="dashed", color="magenta", weight=3]; 694 -> 767[label="",style="dashed", color="magenta", weight=3]; 695 -> 297[label="",style="dashed", color="red", weight=0]; 695[label="xv302 == xv4002",fontsize=16,color="magenta"];695 -> 768[label="",style="dashed", color="magenta", weight=3]; 695 -> 769[label="",style="dashed", color="magenta", weight=3]; 696 -> 298[label="",style="dashed", color="red", weight=0]; 696[label="xv302 == xv4002",fontsize=16,color="magenta"];696 -> 770[label="",style="dashed", color="magenta", weight=3]; 696 -> 771[label="",style="dashed", color="magenta", weight=3]; 697 -> 299[label="",style="dashed", color="red", weight=0]; 697[label="xv302 == xv4002",fontsize=16,color="magenta"];697 -> 772[label="",style="dashed", color="magenta", weight=3]; 697 -> 773[label="",style="dashed", color="magenta", weight=3]; 698 -> 300[label="",style="dashed", color="red", weight=0]; 698[label="xv302 == xv4002",fontsize=16,color="magenta"];698 -> 774[label="",style="dashed", color="magenta", weight=3]; 698 -> 775[label="",style="dashed", color="magenta", weight=3]; 699 -> 301[label="",style="dashed", color="red", weight=0]; 699[label="xv302 == xv4002",fontsize=16,color="magenta"];699 -> 776[label="",style="dashed", color="magenta", weight=3]; 699 -> 777[label="",style="dashed", color="magenta", weight=3]; 700 -> 302[label="",style="dashed", color="red", weight=0]; 700[label="xv302 == xv4002",fontsize=16,color="magenta"];700 -> 778[label="",style="dashed", color="magenta", weight=3]; 700 -> 779[label="",style="dashed", color="magenta", weight=3]; 701 -> 303[label="",style="dashed", color="red", weight=0]; 701[label="xv302 == xv4002",fontsize=16,color="magenta"];701 -> 780[label="",style="dashed", color="magenta", weight=3]; 701 -> 781[label="",style="dashed", color="magenta", weight=3]; 702 -> 290[label="",style="dashed", color="red", weight=0]; 702[label="xv301 == xv4001",fontsize=16,color="magenta"];702 -> 782[label="",style="dashed", color="magenta", weight=3]; 702 -> 783[label="",style="dashed", color="magenta", weight=3]; 703 -> 291[label="",style="dashed", color="red", weight=0]; 703[label="xv301 == xv4001",fontsize=16,color="magenta"];703 -> 784[label="",style="dashed", color="magenta", weight=3]; 703 -> 785[label="",style="dashed", color="magenta", weight=3]; 704 -> 292[label="",style="dashed", color="red", weight=0]; 704[label="xv301 == xv4001",fontsize=16,color="magenta"];704 -> 786[label="",style="dashed", color="magenta", weight=3]; 704 -> 787[label="",style="dashed", color="magenta", weight=3]; 705 -> 293[label="",style="dashed", color="red", weight=0]; 705[label="xv301 == xv4001",fontsize=16,color="magenta"];705 -> 788[label="",style="dashed", color="magenta", weight=3]; 705 -> 789[label="",style="dashed", color="magenta", weight=3]; 706 -> 294[label="",style="dashed", color="red", weight=0]; 706[label="xv301 == xv4001",fontsize=16,color="magenta"];706 -> 790[label="",style="dashed", color="magenta", weight=3]; 706 -> 791[label="",style="dashed", color="magenta", weight=3]; 707 -> 295[label="",style="dashed", color="red", weight=0]; 707[label="xv301 == xv4001",fontsize=16,color="magenta"];707 -> 792[label="",style="dashed", color="magenta", weight=3]; 707 -> 793[label="",style="dashed", color="magenta", weight=3]; 708 -> 271[label="",style="dashed", color="red", weight=0]; 708[label="xv301 == xv4001",fontsize=16,color="magenta"];708 -> 794[label="",style="dashed", color="magenta", weight=3]; 708 -> 795[label="",style="dashed", color="magenta", weight=3]; 709 -> 297[label="",style="dashed", color="red", weight=0]; 709[label="xv301 == xv4001",fontsize=16,color="magenta"];709 -> 796[label="",style="dashed", color="magenta", weight=3]; 709 -> 797[label="",style="dashed", color="magenta", weight=3]; 710 -> 298[label="",style="dashed", color="red", weight=0]; 710[label="xv301 == xv4001",fontsize=16,color="magenta"];710 -> 798[label="",style="dashed", color="magenta", weight=3]; 710 -> 799[label="",style="dashed", color="magenta", weight=3]; 711 -> 299[label="",style="dashed", color="red", weight=0]; 711[label="xv301 == xv4001",fontsize=16,color="magenta"];711 -> 800[label="",style="dashed", color="magenta", weight=3]; 711 -> 801[label="",style="dashed", color="magenta", weight=3]; 712 -> 300[label="",style="dashed", color="red", weight=0]; 712[label="xv301 == xv4001",fontsize=16,color="magenta"];712 -> 802[label="",style="dashed", color="magenta", weight=3]; 712 -> 803[label="",style="dashed", color="magenta", weight=3]; 713 -> 301[label="",style="dashed", color="red", weight=0]; 713[label="xv301 == xv4001",fontsize=16,color="magenta"];713 -> 804[label="",style="dashed", color="magenta", weight=3]; 713 -> 805[label="",style="dashed", color="magenta", weight=3]; 714 -> 302[label="",style="dashed", color="red", weight=0]; 714[label="xv301 == xv4001",fontsize=16,color="magenta"];714 -> 806[label="",style="dashed", color="magenta", weight=3]; 714 -> 807[label="",style="dashed", color="magenta", weight=3]; 715 -> 303[label="",style="dashed", color="red", weight=0]; 715[label="xv301 == xv4001",fontsize=16,color="magenta"];715 -> 808[label="",style="dashed", color="magenta", weight=3]; 715 -> 809[label="",style="dashed", color="magenta", weight=3]; 716[label="xv300",fontsize=16,color="green",shape="box"];717[label="xv4000",fontsize=16,color="green",shape="box"];718[label="xv300",fontsize=16,color="green",shape="box"];719[label="xv4000",fontsize=16,color="green",shape="box"];720[label="xv300",fontsize=16,color="green",shape="box"];721[label="xv4000",fontsize=16,color="green",shape="box"];722[label="xv300",fontsize=16,color="green",shape="box"];723[label="xv4000",fontsize=16,color="green",shape="box"];724[label="xv300",fontsize=16,color="green",shape="box"];725[label="xv4000",fontsize=16,color="green",shape="box"];726[label="xv300",fontsize=16,color="green",shape="box"];727[label="xv4000",fontsize=16,color="green",shape="box"];728[label="xv4000",fontsize=16,color="green",shape="box"];729[label="xv300",fontsize=16,color="green",shape="box"];730[label="xv300",fontsize=16,color="green",shape="box"];731[label="xv4000",fontsize=16,color="green",shape="box"];732[label="xv300",fontsize=16,color="green",shape="box"];733[label="xv4000",fontsize=16,color="green",shape="box"];734[label="xv300",fontsize=16,color="green",shape="box"];735[label="xv4000",fontsize=16,color="green",shape="box"];736[label="xv300",fontsize=16,color="green",shape="box"];737[label="xv4000",fontsize=16,color="green",shape="box"];738[label="xv300",fontsize=16,color="green",shape="box"];739[label="xv4000",fontsize=16,color="green",shape="box"];740[label="xv300",fontsize=16,color="green",shape="box"];741[label="xv4000",fontsize=16,color="green",shape="box"];742[label="xv300",fontsize=16,color="green",shape="box"];743[label="xv4000",fontsize=16,color="green",shape="box"];744[label="primEqNat (Succ xv3000) (Succ xv40000)",fontsize=16,color="black",shape="box"];744 -> 810[label="",style="solid", color="black", weight=3]; 745[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];745 -> 811[label="",style="solid", color="black", weight=3]; 746[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];746 -> 812[label="",style="solid", color="black", weight=3]; 747[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];747 -> 813[label="",style="solid", color="black", weight=3]; 748[label="primMulInt (Pos xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];1086[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];748 -> 1086[label="",style="solid", color="burlywood", weight=9]; 1086 -> 814[label="",style="solid", color="burlywood", weight=3]; 1087[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];748 -> 1087[label="",style="solid", color="burlywood", weight=9]; 1087 -> 815[label="",style="solid", color="burlywood", weight=3]; 749[label="primMulInt (Neg xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];1088[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];749 -> 1088[label="",style="solid", color="burlywood", weight=9]; 1088 -> 816[label="",style="solid", color="burlywood", weight=3]; 1089[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];749 -> 1089[label="",style="solid", color="burlywood", weight=9]; 1089 -> 817[label="",style="solid", color="burlywood", weight=3]; 750[label="xv3000",fontsize=16,color="green",shape="box"];751[label="xv40000",fontsize=16,color="green",shape="box"];752[label="xv3000",fontsize=16,color="green",shape="box"];753[label="xv40000",fontsize=16,color="green",shape="box"];754[label="xv302",fontsize=16,color="green",shape="box"];755[label="xv4002",fontsize=16,color="green",shape="box"];756[label="xv302",fontsize=16,color="green",shape="box"];757[label="xv4002",fontsize=16,color="green",shape="box"];758[label="xv302",fontsize=16,color="green",shape="box"];759[label="xv4002",fontsize=16,color="green",shape="box"];760[label="xv302",fontsize=16,color="green",shape="box"];761[label="xv4002",fontsize=16,color="green",shape="box"];762[label="xv302",fontsize=16,color="green",shape="box"];763[label="xv4002",fontsize=16,color="green",shape="box"];764[label="xv302",fontsize=16,color="green",shape="box"];765[label="xv4002",fontsize=16,color="green",shape="box"];766[label="xv4002",fontsize=16,color="green",shape="box"];767[label="xv302",fontsize=16,color="green",shape="box"];768[label="xv302",fontsize=16,color="green",shape="box"];769[label="xv4002",fontsize=16,color="green",shape="box"];770[label="xv302",fontsize=16,color="green",shape="box"];771[label="xv4002",fontsize=16,color="green",shape="box"];772[label="xv302",fontsize=16,color="green",shape="box"];773[label="xv4002",fontsize=16,color="green",shape="box"];774[label="xv302",fontsize=16,color="green",shape="box"];775[label="xv4002",fontsize=16,color="green",shape="box"];776[label="xv302",fontsize=16,color="green",shape="box"];777[label="xv4002",fontsize=16,color="green",shape="box"];778[label="xv302",fontsize=16,color="green",shape="box"];779[label="xv4002",fontsize=16,color="green",shape="box"];780[label="xv302",fontsize=16,color="green",shape="box"];781[label="xv4002",fontsize=16,color="green",shape="box"];782[label="xv301",fontsize=16,color="green",shape="box"];783[label="xv4001",fontsize=16,color="green",shape="box"];784[label="xv301",fontsize=16,color="green",shape="box"];785[label="xv4001",fontsize=16,color="green",shape="box"];786[label="xv301",fontsize=16,color="green",shape="box"];787[label="xv4001",fontsize=16,color="green",shape="box"];788[label="xv301",fontsize=16,color="green",shape="box"];789[label="xv4001",fontsize=16,color="green",shape="box"];790[label="xv301",fontsize=16,color="green",shape="box"];791[label="xv4001",fontsize=16,color="green",shape="box"];792[label="xv301",fontsize=16,color="green",shape="box"];793[label="xv4001",fontsize=16,color="green",shape="box"];794[label="xv4001",fontsize=16,color="green",shape="box"];795[label="xv301",fontsize=16,color="green",shape="box"];796[label="xv301",fontsize=16,color="green",shape="box"];797[label="xv4001",fontsize=16,color="green",shape="box"];798[label="xv301",fontsize=16,color="green",shape="box"];799[label="xv4001",fontsize=16,color="green",shape="box"];800[label="xv301",fontsize=16,color="green",shape="box"];801[label="xv4001",fontsize=16,color="green",shape="box"];802[label="xv301",fontsize=16,color="green",shape="box"];803[label="xv4001",fontsize=16,color="green",shape="box"];804[label="xv301",fontsize=16,color="green",shape="box"];805[label="xv4001",fontsize=16,color="green",shape="box"];806[label="xv301",fontsize=16,color="green",shape="box"];807[label="xv4001",fontsize=16,color="green",shape="box"];808[label="xv301",fontsize=16,color="green",shape="box"];809[label="xv4001",fontsize=16,color="green",shape="box"];810 -> 436[label="",style="dashed", color="red", weight=0]; 810[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];810 -> 818[label="",style="dashed", color="magenta", weight=3]; 810 -> 819[label="",style="dashed", color="magenta", weight=3]; 811[label="False",fontsize=16,color="green",shape="box"];812[label="False",fontsize=16,color="green",shape="box"];813[label="True",fontsize=16,color="green",shape="box"];814[label="primMulInt (Pos xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];814 -> 820[label="",style="solid", color="black", weight=3]; 815[label="primMulInt (Pos xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];815 -> 821[label="",style="solid", color="black", weight=3]; 816[label="primMulInt (Neg xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];816 -> 822[label="",style="solid", color="black", weight=3]; 817[label="primMulInt (Neg xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];817 -> 823[label="",style="solid", color="black", weight=3]; 818[label="xv3000",fontsize=16,color="green",shape="box"];819[label="xv40000",fontsize=16,color="green",shape="box"];820[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];820 -> 824[label="",style="dashed", color="green", weight=3]; 821[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];821 -> 825[label="",style="dashed", color="green", weight=3]; 822[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];822 -> 826[label="",style="dashed", color="green", weight=3]; 823[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];823 -> 827[label="",style="dashed", color="green", weight=3]; 824[label="primMulNat xv3000 xv40010",fontsize=16,color="burlywood",shape="triangle"];1090[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];824 -> 1090[label="",style="solid", color="burlywood", weight=9]; 1090 -> 828[label="",style="solid", color="burlywood", weight=3]; 1091[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];824 -> 1091[label="",style="solid", color="burlywood", weight=9]; 1091 -> 829[label="",style="solid", color="burlywood", weight=3]; 825 -> 824[label="",style="dashed", color="red", weight=0]; 825[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];825 -> 830[label="",style="dashed", color="magenta", weight=3]; 826 -> 824[label="",style="dashed", color="red", weight=0]; 826[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];826 -> 831[label="",style="dashed", color="magenta", weight=3]; 827 -> 824[label="",style="dashed", color="red", weight=0]; 827[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];827 -> 832[label="",style="dashed", color="magenta", weight=3]; 827 -> 833[label="",style="dashed", color="magenta", weight=3]; 828[label="primMulNat (Succ xv30000) xv40010",fontsize=16,color="burlywood",shape="box"];1092[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];828 -> 1092[label="",style="solid", color="burlywood", weight=9]; 1092 -> 834[label="",style="solid", color="burlywood", weight=3]; 1093[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];828 -> 1093[label="",style="solid", color="burlywood", weight=9]; 1093 -> 835[label="",style="solid", color="burlywood", weight=3]; 829[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];1094[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];829 -> 1094[label="",style="solid", color="burlywood", weight=9]; 1094 -> 836[label="",style="solid", color="burlywood", weight=3]; 1095[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];829 -> 1095[label="",style="solid", color="burlywood", weight=9]; 1095 -> 837[label="",style="solid", color="burlywood", weight=3]; 830[label="xv40010",fontsize=16,color="green",shape="box"];831[label="xv3000",fontsize=16,color="green",shape="box"];832[label="xv40010",fontsize=16,color="green",shape="box"];833[label="xv3000",fontsize=16,color="green",shape="box"];834[label="primMulNat (Succ xv30000) (Succ xv400100)",fontsize=16,color="black",shape="box"];834 -> 838[label="",style="solid", color="black", weight=3]; 835[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];835 -> 839[label="",style="solid", color="black", weight=3]; 836[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];836 -> 840[label="",style="solid", color="black", weight=3]; 837[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];837 -> 841[label="",style="solid", color="black", weight=3]; 838 -> 842[label="",style="dashed", color="red", weight=0]; 838[label="primPlusNat (primMulNat xv30000 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];838 -> 843[label="",style="dashed", color="magenta", weight=3]; 839[label="Zero",fontsize=16,color="green",shape="box"];840[label="Zero",fontsize=16,color="green",shape="box"];841[label="Zero",fontsize=16,color="green",shape="box"];843 -> 824[label="",style="dashed", color="red", weight=0]; 843[label="primMulNat xv30000 (Succ xv400100)",fontsize=16,color="magenta"];843 -> 844[label="",style="dashed", color="magenta", weight=3]; 843 -> 845[label="",style="dashed", color="magenta", weight=3]; 842[label="primPlusNat xv20 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];1096[label="xv20/Succ xv200",fontsize=10,color="white",style="solid",shape="box"];842 -> 1096[label="",style="solid", color="burlywood", weight=9]; 1096 -> 846[label="",style="solid", color="burlywood", weight=3]; 1097[label="xv20/Zero",fontsize=10,color="white",style="solid",shape="box"];842 -> 1097[label="",style="solid", color="burlywood", weight=9]; 1097 -> 847[label="",style="solid", color="burlywood", weight=3]; 844[label="Succ xv400100",fontsize=16,color="green",shape="box"];845[label="xv30000",fontsize=16,color="green",shape="box"];846[label="primPlusNat (Succ xv200) (Succ xv400100)",fontsize=16,color="black",shape="box"];846 -> 848[label="",style="solid", color="black", weight=3]; 847[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];847 -> 849[label="",style="solid", color="black", weight=3]; 848[label="Succ (Succ (primPlusNat xv200 xv400100))",fontsize=16,color="green",shape="box"];848 -> 850[label="",style="dashed", color="green", weight=3]; 849[label="Succ xv400100",fontsize=16,color="green",shape="box"];850[label="primPlusNat xv200 xv400100",fontsize=16,color="burlywood",shape="triangle"];1098[label="xv200/Succ xv2000",fontsize=10,color="white",style="solid",shape="box"];850 -> 1098[label="",style="solid", color="burlywood", weight=9]; 1098 -> 851[label="",style="solid", color="burlywood", weight=3]; 1099[label="xv200/Zero",fontsize=10,color="white",style="solid",shape="box"];850 -> 1099[label="",style="solid", color="burlywood", weight=9]; 1099 -> 852[label="",style="solid", color="burlywood", weight=3]; 851[label="primPlusNat (Succ xv2000) xv400100",fontsize=16,color="burlywood",shape="box"];1100[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];851 -> 1100[label="",style="solid", color="burlywood", weight=9]; 1100 -> 853[label="",style="solid", color="burlywood", weight=3]; 1101[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];851 -> 1101[label="",style="solid", color="burlywood", weight=9]; 1101 -> 854[label="",style="solid", color="burlywood", weight=3]; 852[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];1102[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];852 -> 1102[label="",style="solid", color="burlywood", weight=9]; 1102 -> 855[label="",style="solid", color="burlywood", weight=3]; 1103[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];852 -> 1103[label="",style="solid", color="burlywood", weight=9]; 1103 -> 856[label="",style="solid", color="burlywood", weight=3]; 853[label="primPlusNat (Succ xv2000) (Succ xv4001000)",fontsize=16,color="black",shape="box"];853 -> 857[label="",style="solid", color="black", weight=3]; 854[label="primPlusNat (Succ xv2000) Zero",fontsize=16,color="black",shape="box"];854 -> 858[label="",style="solid", color="black", weight=3]; 855[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];855 -> 859[label="",style="solid", color="black", weight=3]; 856[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];856 -> 860[label="",style="solid", color="black", weight=3]; 857[label="Succ (Succ (primPlusNat xv2000 xv4001000))",fontsize=16,color="green",shape="box"];857 -> 861[label="",style="dashed", color="green", weight=3]; 858[label="Succ xv2000",fontsize=16,color="green",shape="box"];859[label="Succ xv4001000",fontsize=16,color="green",shape="box"];860[label="Zero",fontsize=16,color="green",shape="box"];861 -> 850[label="",style="dashed", color="red", weight=0]; 861[label="primPlusNat xv2000 xv4001000",fontsize=16,color="magenta"];861 -> 862[label="",style="dashed", color="magenta", weight=3]; 861 -> 863[label="",style="dashed", color="magenta", weight=3]; 862[label="xv2000",fontsize=16,color="green",shape="box"];863[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_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. ---------------------------------------- (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_foldr(xv3, :(xv40, xv41), h) -> new_foldr(xv3, xv41, h) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 ---------------------------------------- (9) YES ---------------------------------------- (10) 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. ---------------------------------------- (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_primMulNat(Succ(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bcc), bcd), hf, bba) -> new_esEs0(xv300, xv4000, bcc, bcd) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_Either, fa), fb)) -> new_esEs0(xv301, xv4001, fa, fb) new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, cd), ce)), cc)) -> new_esEs0(xv300, xv4000, cd, ce) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_Either, hh), baa)) -> new_esEs0(xv302, xv4002, hh, baa) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, bd), be)) -> new_esEs1(xv300, xv4000, bd, be) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_[], hg))) -> new_esEs(xv302, xv4002, hg) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(app(ty_@3, bbg), bbh), bca)), bba)) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, bb), bc))) -> new_esEs0(xv300, xv4000, bb, bc) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_@2, bab), bac))) -> new_esEs1(xv302, xv4002, bab, bac) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], ba)) -> new_esEs(xv300, xv4000, ba) new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, db), dc), dd)), cc)) -> new_esEs3(xv300, xv4000, db, dc, dd) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, gd), ge)), gc)) -> new_esEs0(xv300, xv4000, gd, ge) new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, bd), be))) -> new_esEs1(xv300, xv4000, bd, be) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_@2, bbd), bbe)), bba)) -> new_esEs1(xv301, xv4001, bbd, bbe) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(app(ty_@3, bae), baf), bag))) -> new_esEs3(xv302, xv4002, bae, baf, bag) new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], ba))) -> new_esEs(xv300, xv4000, ba) new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bf))) -> new_esEs2(xv300, xv4000, bf) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, gh)), gc)) -> new_esEs2(xv300, xv4000, gh) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bf)) -> new_esEs2(xv300, xv4000, bf) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_[], bah)), bba)) -> new_esEs(xv301, xv4001, bah) new_esEs0(Left(xv300), Left(xv4000), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xv300, xv4000, cd, ce) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, ha), hb), hc), gc) -> new_esEs3(xv300, xv4000, ha, hb, hc) new_esEs0(Left(xv300), Left(xv4000), app(app(app(ty_@3, db), dc), dd), cc) -> new_esEs3(xv300, xv4000, db, dc, dd) new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(app(ty_@2, ea), eb))) -> new_esEs1(xv300, xv4000, ea, eb) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_Either, hh), baa))) -> new_esEs0(xv302, xv4002, hh, baa) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(app(ty_@3, bbg), bbh), bca), bba) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_[], bah), bba) -> new_esEs(xv301, xv4001, bah) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(app(app(ty_@3, fg), fh), ga))) -> new_esEs3(xv301, xv4001, fg, fh, ga) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, gf), gg), gc) -> new_esEs1(xv300, xv4000, gf, gg) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_[], eh)) -> new_esEs(xv301, xv4001, eh) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, bch), bda), bdb)), hf), bba)) -> new_esEs3(xv300, xv4000, bch, bda, bdb) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, bce), bcf)), hf), bba)) -> new_esEs1(xv300, xv4000, bce, bcf) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_Either, bbb), bbc)), bba)) -> new_esEs0(xv301, xv4001, bbb, bbc) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_@2, bab), bac)) -> new_esEs1(xv302, xv4002, bab, bac) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_Maybe, bbf), bba) -> new_esEs2(xv301, xv4001, bbf) new_esEs0(Left(xv300), Left(xv4000), app(ty_[], cb), cc) -> new_esEs(xv300, xv4000, cb) new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, bg), bh), ca))) -> new_esEs3(xv300, xv4000, bg, bh, ca) new_esEs0(Left(xv300), Left(xv4000), app(app(ty_@2, cf), cg), cc) -> new_esEs1(xv300, xv4000, cf, cg) new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], h)) -> new_esEs(xv301, xv4001, h) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs3(xv301, xv4001, fg, fh, ga) new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], cb)), cc)) -> new_esEs(xv300, xv4000, cb) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_Either, bbb), bbc), bba) -> new_esEs0(xv301, xv4001, bbb, bbc) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, gd), ge), gc) -> new_esEs0(xv300, xv4000, gd, ge) new_esEs0(Left(xv300), Left(xv4000), app(ty_Maybe, da), cc) -> new_esEs2(xv300, xv4000, da) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bch), bda), bdb), hf, bba) -> new_esEs3(xv300, xv4000, bch, bda, bdb) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs3(xv300, xv4000, bg, bh, ca) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], gb), gc) -> new_esEs(xv300, xv4000, gb) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(app(ty_@2, fc), fd))) -> new_esEs1(xv301, xv4001, fc, fd) new_esEs0(Right(xv300), Right(xv4000), de, app(app(ty_Either, dg), dh)) -> new_esEs0(xv300, xv4000, dg, dh) new_esEs(:(xv300, xv301), :(xv4000, xv4001), h) -> new_esEs(xv301, xv4001, h) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_Maybe, bbf)), bba)) -> new_esEs2(xv301, xv4001, bbf) new_esEs2(Just(xv30), Just(xv400), app(ty_Maybe, hd)) -> new_esEs2(xv30, xv400, hd) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_Maybe, bad))) -> new_esEs2(xv302, xv4002, bad) new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(ty_Maybe, ec))) -> new_esEs2(xv300, xv4000, ec) new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, da)), cc)) -> new_esEs2(xv300, xv4000, da) new_esEs0(Right(xv300), Right(xv4000), de, app(ty_[], df)) -> new_esEs(xv300, xv4000, df) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs3(xv302, xv4002, bae, baf, bag) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_Maybe, ff)) -> new_esEs2(xv301, xv4001, ff) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(app(ty_Either, fa), fb))) -> new_esEs0(xv301, xv4001, fa, fb) new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(ty_[], df))) -> new_esEs(xv300, xv4000, df) new_esEs0(Right(xv300), Right(xv4000), de, app(ty_Maybe, ec)) -> new_esEs2(xv300, xv4000, ec) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, gh), gc) -> new_esEs2(xv300, xv4000, gh) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(ty_Maybe, ff))) -> new_esEs2(xv301, xv4001, ff) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, bce), bcf), hf, bba) -> new_esEs1(xv300, xv4000, bce, bcf) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(ty_[], eh))) -> new_esEs(xv301, xv4001, eh) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, gf), gg)), gc)) -> new_esEs1(xv300, xv4000, gf, gg) new_esEs0(Right(xv300), Right(xv4000), de, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs3(xv300, xv4000, ed, ee, ef) new_esEs0(Right(xv300), Right(xv4000), de, app(app(ty_@2, ea), eb)) -> new_esEs1(xv300, xv4000, ea, eb) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], gb)), gc)) -> new_esEs(xv300, xv4000, gb) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_@2, bbd), bbe), bba) -> new_esEs1(xv301, xv4001, bbd, bbe) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_[], hg)) -> new_esEs(xv302, xv4002, hg) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, bb), bc)) -> new_esEs0(xv300, xv4000, bb, bc) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, ha), hb), hc)), gc)) -> new_esEs3(xv300, xv4000, ha, hb, hc) new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, cf), cg)), cc)) -> new_esEs1(xv300, xv4000, cf, cg) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, bcg)), hf), bba)) -> new_esEs2(xv300, xv4000, bcg) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_Maybe, bad)) -> new_esEs2(xv302, xv4002, bad) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], bcb)), hf), bba)) -> new_esEs(xv300, xv4000, bcb) new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(app(app(ty_@3, ed), ee), ef))) -> new_esEs3(xv300, xv4000, ed, ee, ef) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], bcb), hf, bba) -> new_esEs(xv300, xv4000, bcb) new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bcg), hf, bba) -> new_esEs2(xv300, xv4000, bcg) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_@2, fc), fd)) -> new_esEs1(xv301, xv4001, fc, fd) new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(app(ty_Either, dg), dh))) -> new_esEs0(xv300, xv4000, dg, dh) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, bcc), bcd)), hf), bba)) -> new_esEs0(xv300, xv4000, bcc, bcd) 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_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, bg), bh), ca)) -> 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(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, bd), be)) -> new_esEs1(xv300, xv4000, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bf)) -> new_esEs2(xv300, xv4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, bb), bc)) -> new_esEs0(xv300, xv4000, bb, bc) 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, db), dc), dd), cc) -> new_esEs3(xv300, xv4000, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xv300), Right(xv4000), de, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs3(xv300, xv4000, ed, ee, ef) 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_@2, cf), cg), cc) -> new_esEs1(xv300, xv4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv300), Right(xv4000), de, app(app(ty_@2, ea), eb)) -> new_esEs1(xv300, xv4000, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv300), Left(xv4000), app(ty_Maybe, da), cc) -> new_esEs2(xv300, xv4000, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv300), Right(xv4000), de, app(ty_Maybe, ec)) -> new_esEs2(xv300, xv4000, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xv300), Left(xv4000), app(ty_[], cb), cc) -> new_esEs(xv300, xv4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv300), Right(xv4000), de, app(ty_[], df)) -> new_esEs(xv300, xv4000, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xv300), Left(xv4000), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xv300, xv4000, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv300), Right(xv4000), de, app(app(ty_Either, dg), dh)) -> new_esEs0(xv300, xv4000, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, ha), hb), hc), gc) -> new_esEs3(xv300, xv4000, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs3(xv301, xv4001, fg, fh, ga) 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), he, app(app(app(ty_@3, bbg), bbh), bca), bba) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) 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, bch), bda), bdb), hf, bba) -> new_esEs3(xv300, xv4000, bch, bda, bdb) 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), he, hf, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs3(xv302, xv4002, bae, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(app(ty_@3, bbg), bbh), bca)), bba)) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, db), dc), dd)), cc)) -> new_esEs3(xv300, xv4000, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(app(ty_@3, bae), baf), bag))) -> new_esEs3(xv302, xv4002, bae, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(app(app(ty_@3, fg), fh), ga))) -> new_esEs3(xv301, xv4001, fg, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, bch), bda), bdb)), hf), bba)) -> new_esEs3(xv300, xv4000, bch, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, bg), bh), ca))) -> new_esEs3(xv300, xv4000, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, ha), hb), hc)), gc)) -> new_esEs3(xv300, xv4000, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(app(app(ty_@3, ed), ee), ef))) -> new_esEs3(xv300, xv4000, ed, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, gf), gg), gc) -> new_esEs1(xv300, xv4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_@2, fc), fd)) -> new_esEs1(xv301, xv4001, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_@2, bab), bac)) -> new_esEs1(xv302, xv4002, bab, bac) 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, bce), bcf), hf, bba) -> new_esEs1(xv300, xv4000, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_@2, bbd), bbe), bba) -> new_esEs1(xv301, xv4001, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_@2, bab), bac))) -> new_esEs1(xv302, xv4002, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, bd), be))) -> new_esEs1(xv300, xv4000, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_@2, bbd), bbe)), bba)) -> new_esEs1(xv301, xv4001, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(app(ty_@2, ea), eb))) -> new_esEs1(xv300, xv4000, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, bce), bcf)), hf), bba)) -> new_esEs1(xv300, xv4000, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(app(ty_@2, fc), fd))) -> new_esEs1(xv301, xv4001, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, gf), gg)), gc)) -> new_esEs1(xv300, xv4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, cf), cg)), cc)) -> new_esEs1(xv300, xv4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_Maybe, ff)) -> new_esEs2(xv301, xv4001, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, gh), gc) -> new_esEs2(xv300, xv4000, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_Maybe, bbf), bba) -> new_esEs2(xv301, xv4001, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_Maybe, bad)) -> new_esEs2(xv302, xv4002, bad) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bcg), hf, bba) -> new_esEs2(xv300, xv4000, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bf))) -> new_esEs2(xv300, xv4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, gh)), gc)) -> new_esEs2(xv300, xv4000, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_Maybe, bbf)), bba)) -> new_esEs2(xv301, xv4001, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xv30), Just(xv400), app(ty_Maybe, hd)) -> new_esEs2(xv30, xv400, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_Maybe, bad))) -> new_esEs2(xv302, xv4002, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(ty_Maybe, ec))) -> new_esEs2(xv300, xv4000, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, da)), cc)) -> new_esEs2(xv300, xv4000, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(ty_Maybe, ff))) -> new_esEs2(xv301, xv4001, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, bcg)), hf), bba)) -> new_esEs2(xv300, xv4000, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(ty_[], eh)) -> new_esEs(xv301, xv4001, eh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], gb), gc) -> new_esEs(xv300, xv4000, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eg, app(app(ty_Either, fa), fb)) -> new_esEs0(xv301, xv4001, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, gd), ge), gc) -> new_esEs0(xv300, xv4000, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], ba)) -> new_esEs(xv300, xv4000, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), h) -> new_esEs(xv301, xv4001, h) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_[], bah), bba) -> new_esEs(xv301, xv4001, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_[], hg)) -> new_esEs(xv302, xv4002, hg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], bcb), hf, bba) -> new_esEs(xv300, xv4000, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_[], hg))) -> new_esEs(xv302, xv4002, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], ba))) -> new_esEs(xv300, xv4000, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_[], bah)), bba)) -> new_esEs(xv301, xv4001, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], h)) -> new_esEs(xv301, xv4001, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], cb)), cc)) -> new_esEs(xv300, xv4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(ty_[], df))) -> new_esEs(xv300, xv4000, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(ty_[], eh))) -> new_esEs(xv301, xv4001, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], gb)), gc)) -> new_esEs(xv300, xv4000, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], bcb)), hf), bba)) -> new_esEs(xv300, xv4000, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bcc), bcd), hf, bba) -> new_esEs0(xv300, xv4000, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_Either, hh), baa)) -> new_esEs0(xv302, xv4002, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_Either, bbb), bbc), bba) -> new_esEs0(xv301, xv4001, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, cd), ce)), cc)) -> new_esEs0(xv300, xv4000, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, bb), bc))) -> new_esEs0(xv300, xv4000, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, gd), ge)), gc)) -> new_esEs0(xv300, xv4000, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_Either, hh), baa))) -> new_esEs0(xv302, xv4002, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_Either, bbb), bbc)), bba)) -> new_esEs0(xv301, xv4001, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eg), app(app(ty_Either, fa), fb))) -> new_esEs0(xv301, xv4001, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, de), app(app(ty_Either, dg), dh))) -> new_esEs0(xv300, xv4000, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, bcc), bcd)), hf), bba)) -> new_esEs0(xv300, xv4000, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv2000), Succ(xv4001000)) -> new_primPlusNat(xv2000, 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(xv2000), Succ(xv4001000)) -> new_primPlusNat(xv2000, 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