/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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"];874[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 10[label="",style="solid", color="burlywood", weight=3]; 875[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 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 -> 239[label="",style="dashed", color="red", weight=0]; 14[label="(&&) (/=) xv3 xv40 foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];14 -> 240[label="",style="dashed", color="magenta", weight=3]; 14 -> 241[label="",style="dashed", color="magenta", weight=3]; 15[label="True",fontsize=16,color="green",shape="box"];240[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];240 -> 264[label="",style="solid", color="black", weight=3]; 241 -> 9[label="",style="dashed", color="red", weight=0]; 241[label="foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];241 -> 265[label="",style="dashed", color="magenta", weight=3]; 239[label="xv15 && xv16",fontsize=16,color="burlywood",shape="triangle"];876[label="xv15/False",fontsize=10,color="white",style="solid",shape="box"];239 -> 876[label="",style="solid", color="burlywood", weight=9]; 876 -> 266[label="",style="solid", color="burlywood", weight=3]; 877[label="xv15/True",fontsize=10,color="white",style="solid",shape="box"];239 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 267[label="",style="solid", color="burlywood", weight=3]; 264 -> 280[label="",style="dashed", color="red", weight=0]; 264[label="not (xv3 == xv40)",fontsize=16,color="magenta"];264 -> 281[label="",style="dashed", color="magenta", weight=3]; 265[label="xv41",fontsize=16,color="green",shape="box"];266[label="False && xv16",fontsize=16,color="black",shape="box"];266 -> 270[label="",style="solid", color="black", weight=3]; 267[label="True && xv16",fontsize=16,color="black",shape="box"];267 -> 271[label="",style="solid", color="black", weight=3]; 281[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];878[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];281 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 286[label="",style="solid", color="burlywood", weight=3]; 879[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];281 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 287[label="",style="solid", color="burlywood", weight=3]; 280[label="not xv19",fontsize=16,color="burlywood",shape="triangle"];880[label="xv19/False",fontsize=10,color="white",style="solid",shape="box"];280 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 288[label="",style="solid", color="burlywood", weight=3]; 881[label="xv19/True",fontsize=10,color="white",style="solid",shape="box"];280 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 289[label="",style="solid", color="burlywood", weight=3]; 270[label="False",fontsize=16,color="green",shape="box"];271[label="xv16",fontsize=16,color="green",shape="box"];286[label="Left xv30 == xv40",fontsize=16,color="burlywood",shape="box"];882[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];286 -> 882[label="",style="solid", color="burlywood", weight=9]; 882 -> 290[label="",style="solid", color="burlywood", weight=3]; 883[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];286 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 291[label="",style="solid", color="burlywood", weight=3]; 287[label="Right xv30 == xv40",fontsize=16,color="burlywood",shape="box"];884[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];287 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 292[label="",style="solid", color="burlywood", weight=3]; 885[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];287 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 293[label="",style="solid", color="burlywood", weight=3]; 288[label="not False",fontsize=16,color="black",shape="box"];288 -> 294[label="",style="solid", color="black", weight=3]; 289[label="not True",fontsize=16,color="black",shape="box"];289 -> 295[label="",style="solid", color="black", weight=3]; 290[label="Left xv30 == Left xv400",fontsize=16,color="black",shape="box"];290 -> 296[label="",style="solid", color="black", weight=3]; 291[label="Left xv30 == Right xv400",fontsize=16,color="black",shape="box"];291 -> 297[label="",style="solid", color="black", weight=3]; 292[label="Right xv30 == Left xv400",fontsize=16,color="black",shape="box"];292 -> 298[label="",style="solid", color="black", weight=3]; 293[label="Right xv30 == Right xv400",fontsize=16,color="black",shape="box"];293 -> 299[label="",style="solid", color="black", weight=3]; 294[label="True",fontsize=16,color="green",shape="box"];295[label="False",fontsize=16,color="green",shape="box"];296[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];886[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 300[label="",style="solid", color="blue", weight=3]; 887[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 301[label="",style="solid", color="blue", weight=3]; 888[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 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"];296 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 303[label="",style="solid", color="blue", weight=3]; 890[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 304[label="",style="solid", color="blue", weight=3]; 891[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 305[label="",style="solid", color="blue", weight=3]; 892[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 306[label="",style="solid", color="blue", weight=3]; 893[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 307[label="",style="solid", color="blue", weight=3]; 894[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 308[label="",style="solid", color="blue", weight=3]; 895[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 309[label="",style="solid", color="blue", weight=3]; 896[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 310[label="",style="solid", color="blue", weight=3]; 897[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 311[label="",style="solid", color="blue", weight=3]; 898[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 312[label="",style="solid", color="blue", weight=3]; 899[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 313[label="",style="solid", color="blue", weight=3]; 297[label="False",fontsize=16,color="green",shape="box"];298[label="False",fontsize=16,color="green",shape="box"];299[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];900[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 314[label="",style="solid", color="blue", weight=3]; 901[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 315[label="",style="solid", color="blue", weight=3]; 902[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 316[label="",style="solid", color="blue", weight=3]; 903[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 317[label="",style="solid", color="blue", weight=3]; 904[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 318[label="",style="solid", color="blue", weight=3]; 905[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 319[label="",style="solid", color="blue", weight=3]; 906[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 320[label="",style="solid", color="blue", weight=3]; 907[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 321[label="",style="solid", color="blue", weight=3]; 908[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 322[label="",style="solid", color="blue", weight=3]; 909[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 323[label="",style="solid", color="blue", weight=3]; 910[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 324[label="",style="solid", color="blue", weight=3]; 911[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 325[label="",style="solid", color="blue", weight=3]; 912[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 326[label="",style="solid", color="blue", weight=3]; 913[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];299 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 327[label="",style="solid", color="blue", weight=3]; 300[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];300 -> 328[label="",style="solid", color="black", weight=3]; 301[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];914[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];301 -> 914[label="",style="solid", color="burlywood", weight=9]; 914 -> 329[label="",style="solid", color="burlywood", weight=3]; 915[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];301 -> 915[label="",style="solid", color="burlywood", weight=9]; 915 -> 330[label="",style="solid", color="burlywood", weight=3]; 916[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];301 -> 916[label="",style="solid", color="burlywood", weight=9]; 916 -> 331[label="",style="solid", color="burlywood", weight=3]; 302[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];917[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];302 -> 917[label="",style="solid", color="burlywood", weight=9]; 917 -> 332[label="",style="solid", color="burlywood", weight=3]; 918[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];302 -> 918[label="",style="solid", color="burlywood", weight=9]; 918 -> 333[label="",style="solid", color="burlywood", weight=3]; 303[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];303 -> 334[label="",style="solid", color="black", weight=3]; 304[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];919[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];304 -> 919[label="",style="solid", color="burlywood", weight=9]; 919 -> 335[label="",style="solid", color="burlywood", weight=3]; 305[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];920[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];305 -> 920[label="",style="solid", color="burlywood", weight=9]; 920 -> 336[label="",style="solid", color="burlywood", weight=3]; 921[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];305 -> 921[label="",style="solid", color="burlywood", weight=9]; 921 -> 337[label="",style="solid", color="burlywood", weight=3]; 306[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];306 -> 338[label="",style="solid", color="black", weight=3]; 307[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];922[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];307 -> 922[label="",style="solid", color="burlywood", weight=9]; 922 -> 339[label="",style="solid", color="burlywood", weight=3]; 923[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];307 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 340[label="",style="solid", color="burlywood", weight=3]; 308 -> 281[label="",style="dashed", color="red", weight=0]; 308[label="xv30 == xv400",fontsize=16,color="magenta"];308 -> 341[label="",style="dashed", color="magenta", weight=3]; 308 -> 342[label="",style="dashed", color="magenta", weight=3]; 309[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];924[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];309 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 343[label="",style="solid", color="burlywood", weight=3]; 310[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];310 -> 344[label="",style="solid", color="black", weight=3]; 311[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];925[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];311 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 345[label="",style="solid", color="burlywood", weight=3]; 312[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];926[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];312 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 346[label="",style="solid", color="burlywood", weight=3]; 313[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];927[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];313 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 347[label="",style="solid", color="burlywood", weight=3]; 314 -> 300[label="",style="dashed", color="red", weight=0]; 314[label="xv30 == xv400",fontsize=16,color="magenta"];314 -> 348[label="",style="dashed", color="magenta", weight=3]; 314 -> 349[label="",style="dashed", color="magenta", weight=3]; 315 -> 301[label="",style="dashed", color="red", weight=0]; 315[label="xv30 == xv400",fontsize=16,color="magenta"];315 -> 350[label="",style="dashed", color="magenta", weight=3]; 315 -> 351[label="",style="dashed", color="magenta", weight=3]; 316 -> 302[label="",style="dashed", color="red", weight=0]; 316[label="xv30 == xv400",fontsize=16,color="magenta"];316 -> 352[label="",style="dashed", color="magenta", weight=3]; 316 -> 353[label="",style="dashed", color="magenta", weight=3]; 317 -> 303[label="",style="dashed", color="red", weight=0]; 317[label="xv30 == xv400",fontsize=16,color="magenta"];317 -> 354[label="",style="dashed", color="magenta", weight=3]; 317 -> 355[label="",style="dashed", color="magenta", weight=3]; 318 -> 304[label="",style="dashed", color="red", weight=0]; 318[label="xv30 == xv400",fontsize=16,color="magenta"];318 -> 356[label="",style="dashed", color="magenta", weight=3]; 318 -> 357[label="",style="dashed", color="magenta", weight=3]; 319 -> 305[label="",style="dashed", color="red", weight=0]; 319[label="xv30 == xv400",fontsize=16,color="magenta"];319 -> 358[label="",style="dashed", color="magenta", weight=3]; 319 -> 359[label="",style="dashed", color="magenta", weight=3]; 320 -> 306[label="",style="dashed", color="red", weight=0]; 320[label="xv30 == xv400",fontsize=16,color="magenta"];320 -> 360[label="",style="dashed", color="magenta", weight=3]; 320 -> 361[label="",style="dashed", color="magenta", weight=3]; 321 -> 307[label="",style="dashed", color="red", weight=0]; 321[label="xv30 == xv400",fontsize=16,color="magenta"];321 -> 362[label="",style="dashed", color="magenta", weight=3]; 321 -> 363[label="",style="dashed", color="magenta", weight=3]; 322 -> 281[label="",style="dashed", color="red", weight=0]; 322[label="xv30 == xv400",fontsize=16,color="magenta"];322 -> 364[label="",style="dashed", color="magenta", weight=3]; 322 -> 365[label="",style="dashed", color="magenta", weight=3]; 323 -> 309[label="",style="dashed", color="red", weight=0]; 323[label="xv30 == xv400",fontsize=16,color="magenta"];323 -> 366[label="",style="dashed", color="magenta", weight=3]; 323 -> 367[label="",style="dashed", color="magenta", weight=3]; 324 -> 310[label="",style="dashed", color="red", weight=0]; 324[label="xv30 == xv400",fontsize=16,color="magenta"];324 -> 368[label="",style="dashed", color="magenta", weight=3]; 324 -> 369[label="",style="dashed", color="magenta", weight=3]; 325 -> 311[label="",style="dashed", color="red", weight=0]; 325[label="xv30 == xv400",fontsize=16,color="magenta"];325 -> 370[label="",style="dashed", color="magenta", weight=3]; 325 -> 371[label="",style="dashed", color="magenta", weight=3]; 326 -> 312[label="",style="dashed", color="red", weight=0]; 326[label="xv30 == xv400",fontsize=16,color="magenta"];326 -> 372[label="",style="dashed", color="magenta", weight=3]; 326 -> 373[label="",style="dashed", color="magenta", weight=3]; 327 -> 313[label="",style="dashed", color="red", weight=0]; 327[label="xv30 == xv400",fontsize=16,color="magenta"];327 -> 374[label="",style="dashed", color="magenta", weight=3]; 327 -> 375[label="",style="dashed", color="magenta", weight=3]; 328[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];928[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];328 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 376[label="",style="solid", color="burlywood", weight=3]; 329[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];929[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];329 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 377[label="",style="solid", color="burlywood", weight=3]; 930[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];329 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 378[label="",style="solid", color="burlywood", weight=3]; 931[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];329 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 379[label="",style="solid", color="burlywood", weight=3]; 330[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];932[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];330 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 380[label="",style="solid", color="burlywood", weight=3]; 933[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];330 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 381[label="",style="solid", color="burlywood", weight=3]; 934[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];330 -> 934[label="",style="solid", color="burlywood", weight=9]; 934 -> 382[label="",style="solid", color="burlywood", weight=3]; 331[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];935[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];331 -> 935[label="",style="solid", color="burlywood", weight=9]; 935 -> 383[label="",style="solid", color="burlywood", weight=3]; 936[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];331 -> 936[label="",style="solid", color="burlywood", weight=9]; 936 -> 384[label="",style="solid", color="burlywood", weight=3]; 937[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];331 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 385[label="",style="solid", color="burlywood", weight=3]; 332[label="xv300 : xv301 == xv400",fontsize=16,color="burlywood",shape="box"];938[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];332 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 386[label="",style="solid", color="burlywood", weight=3]; 939[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];332 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 387[label="",style="solid", color="burlywood", weight=3]; 333[label="[] == xv400",fontsize=16,color="burlywood",shape="box"];940[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];333 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 388[label="",style="solid", color="burlywood", weight=3]; 941[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];333 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 389[label="",style="solid", color="burlywood", weight=3]; 334[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];942[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];334 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 390[label="",style="solid", color="burlywood", weight=3]; 335[label="(xv300,xv301,xv302) == xv400",fontsize=16,color="burlywood",shape="box"];943[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];335 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 391[label="",style="solid", color="burlywood", weight=3]; 336[label="False == xv400",fontsize=16,color="burlywood",shape="box"];944[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];336 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 392[label="",style="solid", color="burlywood", weight=3]; 945[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];336 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 393[label="",style="solid", color="burlywood", weight=3]; 337[label="True == xv400",fontsize=16,color="burlywood",shape="box"];946[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];337 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 394[label="",style="solid", color="burlywood", weight=3]; 947[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];337 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 395[label="",style="solid", color="burlywood", weight=3]; 338[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];948[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];338 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 396[label="",style="solid", color="burlywood", weight=3]; 339[label="Nothing == xv400",fontsize=16,color="burlywood",shape="box"];949[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];339 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 397[label="",style="solid", color="burlywood", weight=3]; 950[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];339 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 398[label="",style="solid", color="burlywood", weight=3]; 340[label="Just xv300 == xv400",fontsize=16,color="burlywood",shape="box"];951[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];340 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 399[label="",style="solid", color="burlywood", weight=3]; 952[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];340 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 400[label="",style="solid", color="burlywood", weight=3]; 341[label="xv400",fontsize=16,color="green",shape="box"];342[label="xv30",fontsize=16,color="green",shape="box"];343[label="xv300 :% xv301 == xv400",fontsize=16,color="burlywood",shape="box"];953[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];343 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 401[label="",style="solid", color="burlywood", weight=3]; 344[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];954[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];344 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 402[label="",style="solid", color="burlywood", weight=3]; 955[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];344 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 403[label="",style="solid", color="burlywood", weight=3]; 345[label="(xv300,xv301) == xv400",fontsize=16,color="burlywood",shape="box"];956[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];345 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 404[label="",style="solid", color="burlywood", weight=3]; 346[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];957[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];346 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 405[label="",style="solid", color="burlywood", weight=3]; 347[label="() == xv400",fontsize=16,color="burlywood",shape="box"];958[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];347 -> 958[label="",style="solid", color="burlywood", weight=9]; 958 -> 406[label="",style="solid", color="burlywood", weight=3]; 348[label="xv30",fontsize=16,color="green",shape="box"];349[label="xv400",fontsize=16,color="green",shape="box"];350[label="xv30",fontsize=16,color="green",shape="box"];351[label="xv400",fontsize=16,color="green",shape="box"];352[label="xv30",fontsize=16,color="green",shape="box"];353[label="xv400",fontsize=16,color="green",shape="box"];354[label="xv30",fontsize=16,color="green",shape="box"];355[label="xv400",fontsize=16,color="green",shape="box"];356[label="xv30",fontsize=16,color="green",shape="box"];357[label="xv400",fontsize=16,color="green",shape="box"];358[label="xv30",fontsize=16,color="green",shape="box"];359[label="xv400",fontsize=16,color="green",shape="box"];360[label="xv30",fontsize=16,color="green",shape="box"];361[label="xv400",fontsize=16,color="green",shape="box"];362[label="xv30",fontsize=16,color="green",shape="box"];363[label="xv400",fontsize=16,color="green",shape="box"];364[label="xv400",fontsize=16,color="green",shape="box"];365[label="xv30",fontsize=16,color="green",shape="box"];366[label="xv30",fontsize=16,color="green",shape="box"];367[label="xv400",fontsize=16,color="green",shape="box"];368[label="xv30",fontsize=16,color="green",shape="box"];369[label="xv400",fontsize=16,color="green",shape="box"];370[label="xv30",fontsize=16,color="green",shape="box"];371[label="xv400",fontsize=16,color="green",shape="box"];372[label="xv30",fontsize=16,color="green",shape="box"];373[label="xv400",fontsize=16,color="green",shape="box"];374[label="xv30",fontsize=16,color="green",shape="box"];375[label="xv400",fontsize=16,color="green",shape="box"];376[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];959[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];376 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 407[label="",style="solid", color="burlywood", weight=3]; 377[label="LT == LT",fontsize=16,color="black",shape="box"];377 -> 408[label="",style="solid", color="black", weight=3]; 378[label="LT == EQ",fontsize=16,color="black",shape="box"];378 -> 409[label="",style="solid", color="black", weight=3]; 379[label="LT == GT",fontsize=16,color="black",shape="box"];379 -> 410[label="",style="solid", color="black", weight=3]; 380[label="EQ == LT",fontsize=16,color="black",shape="box"];380 -> 411[label="",style="solid", color="black", weight=3]; 381[label="EQ == EQ",fontsize=16,color="black",shape="box"];381 -> 412[label="",style="solid", color="black", weight=3]; 382[label="EQ == GT",fontsize=16,color="black",shape="box"];382 -> 413[label="",style="solid", color="black", weight=3]; 383[label="GT == LT",fontsize=16,color="black",shape="box"];383 -> 414[label="",style="solid", color="black", weight=3]; 384[label="GT == EQ",fontsize=16,color="black",shape="box"];384 -> 415[label="",style="solid", color="black", weight=3]; 385[label="GT == GT",fontsize=16,color="black",shape="box"];385 -> 416[label="",style="solid", color="black", weight=3]; 386[label="xv300 : xv301 == xv4000 : xv4001",fontsize=16,color="black",shape="box"];386 -> 417[label="",style="solid", color="black", weight=3]; 387[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];387 -> 418[label="",style="solid", color="black", weight=3]; 388[label="[] == xv4000 : xv4001",fontsize=16,color="black",shape="box"];388 -> 419[label="",style="solid", color="black", weight=3]; 389[label="[] == []",fontsize=16,color="black",shape="box"];389 -> 420[label="",style="solid", color="black", weight=3]; 390[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];960[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];390 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 421[label="",style="solid", color="burlywood", weight=3]; 391[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)",fontsize=16,color="black",shape="box"];391 -> 422[label="",style="solid", color="black", weight=3]; 392[label="False == False",fontsize=16,color="black",shape="box"];392 -> 423[label="",style="solid", color="black", weight=3]; 393[label="False == True",fontsize=16,color="black",shape="box"];393 -> 424[label="",style="solid", color="black", weight=3]; 394[label="True == False",fontsize=16,color="black",shape="box"];394 -> 425[label="",style="solid", color="black", weight=3]; 395[label="True == True",fontsize=16,color="black",shape="box"];395 -> 426[label="",style="solid", color="black", weight=3]; 396[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];961[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];396 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 427[label="",style="solid", color="burlywood", weight=3]; 397[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];397 -> 428[label="",style="solid", color="black", weight=3]; 398[label="Nothing == Just xv4000",fontsize=16,color="black",shape="box"];398 -> 429[label="",style="solid", color="black", weight=3]; 399[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];399 -> 430[label="",style="solid", color="black", weight=3]; 400[label="Just xv300 == Just xv4000",fontsize=16,color="black",shape="box"];400 -> 431[label="",style="solid", color="black", weight=3]; 401[label="xv300 :% xv301 == xv4000 :% xv4001",fontsize=16,color="black",shape="box"];401 -> 432[label="",style="solid", color="black", weight=3]; 402[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];962[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];402 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 433[label="",style="solid", color="burlywood", weight=3]; 963[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];402 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 434[label="",style="solid", color="burlywood", weight=3]; 403[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];964[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];403 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 435[label="",style="solid", color="burlywood", weight=3]; 965[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];403 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 436[label="",style="solid", color="burlywood", weight=3]; 404[label="(xv300,xv301) == (xv4000,xv4001)",fontsize=16,color="black",shape="box"];404 -> 437[label="",style="solid", color="black", weight=3]; 405[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];405 -> 438[label="",style="solid", color="black", weight=3]; 406[label="() == ()",fontsize=16,color="black",shape="box"];406 -> 439[label="",style="solid", color="black", weight=3]; 407[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];407 -> 440[label="",style="solid", color="black", weight=3]; 408[label="True",fontsize=16,color="green",shape="box"];409[label="False",fontsize=16,color="green",shape="box"];410[label="False",fontsize=16,color="green",shape="box"];411[label="False",fontsize=16,color="green",shape="box"];412[label="True",fontsize=16,color="green",shape="box"];413[label="False",fontsize=16,color="green",shape="box"];414[label="False",fontsize=16,color="green",shape="box"];415[label="False",fontsize=16,color="green",shape="box"];416[label="True",fontsize=16,color="green",shape="box"];417 -> 239[label="",style="dashed", color="red", weight=0]; 417[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];417 -> 441[label="",style="dashed", color="magenta", weight=3]; 417 -> 442[label="",style="dashed", color="magenta", weight=3]; 418[label="False",fontsize=16,color="green",shape="box"];419[label="False",fontsize=16,color="green",shape="box"];420[label="True",fontsize=16,color="green",shape="box"];421[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];421 -> 443[label="",style="solid", color="black", weight=3]; 422 -> 239[label="",style="dashed", color="red", weight=0]; 422[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];422 -> 444[label="",style="dashed", color="magenta", weight=3]; 422 -> 445[label="",style="dashed", color="magenta", weight=3]; 423[label="True",fontsize=16,color="green",shape="box"];424[label="False",fontsize=16,color="green",shape="box"];425[label="False",fontsize=16,color="green",shape="box"];426[label="True",fontsize=16,color="green",shape="box"];427[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];427 -> 446[label="",style="solid", color="black", weight=3]; 428[label="True",fontsize=16,color="green",shape="box"];429[label="False",fontsize=16,color="green",shape="box"];430[label="False",fontsize=16,color="green",shape="box"];431[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];966[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 447[label="",style="solid", color="blue", weight=3]; 967[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 448[label="",style="solid", color="blue", weight=3]; 968[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 449[label="",style="solid", color="blue", weight=3]; 969[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 450[label="",style="solid", color="blue", weight=3]; 970[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 451[label="",style="solid", color="blue", weight=3]; 971[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 452[label="",style="solid", color="blue", weight=3]; 972[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 453[label="",style="solid", color="blue", weight=3]; 973[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 973[label="",style="solid", color="blue", weight=9]; 973 -> 454[label="",style="solid", color="blue", weight=3]; 974[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 974[label="",style="solid", color="blue", weight=9]; 974 -> 455[label="",style="solid", color="blue", weight=3]; 975[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 975[label="",style="solid", color="blue", weight=9]; 975 -> 456[label="",style="solid", color="blue", weight=3]; 976[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 976[label="",style="solid", color="blue", weight=9]; 976 -> 457[label="",style="solid", color="blue", weight=3]; 977[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 977[label="",style="solid", color="blue", weight=9]; 977 -> 458[label="",style="solid", color="blue", weight=3]; 978[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 978[label="",style="solid", color="blue", weight=9]; 978 -> 459[label="",style="solid", color="blue", weight=3]; 979[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 979[label="",style="solid", color="blue", weight=9]; 979 -> 460[label="",style="solid", color="blue", weight=3]; 432 -> 239[label="",style="dashed", color="red", weight=0]; 432[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];432 -> 461[label="",style="dashed", color="magenta", weight=3]; 432 -> 462[label="",style="dashed", color="magenta", weight=3]; 433[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];980[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];433 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 463[label="",style="solid", color="burlywood", weight=3]; 981[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];433 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 464[label="",style="solid", color="burlywood", weight=3]; 434[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];982[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];434 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 465[label="",style="solid", color="burlywood", weight=3]; 983[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];434 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 466[label="",style="solid", color="burlywood", weight=3]; 435[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];984[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];435 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 467[label="",style="solid", color="burlywood", weight=3]; 985[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];435 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 468[label="",style="solid", color="burlywood", weight=3]; 436[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];986[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];436 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 469[label="",style="solid", color="burlywood", weight=3]; 987[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];436 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 470[label="",style="solid", color="burlywood", weight=3]; 437 -> 239[label="",style="dashed", color="red", weight=0]; 437[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];437 -> 471[label="",style="dashed", color="magenta", weight=3]; 437 -> 472[label="",style="dashed", color="magenta", weight=3]; 438 -> 344[label="",style="dashed", color="red", weight=0]; 438[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];438 -> 473[label="",style="dashed", color="magenta", weight=3]; 438 -> 474[label="",style="dashed", color="magenta", weight=3]; 439[label="True",fontsize=16,color="green",shape="box"];440 -> 310[label="",style="dashed", color="red", weight=0]; 440[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];440 -> 475[label="",style="dashed", color="magenta", weight=3]; 440 -> 476[label="",style="dashed", color="magenta", weight=3]; 441[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];988[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 988[label="",style="solid", color="blue", weight=9]; 988 -> 477[label="",style="solid", color="blue", weight=3]; 989[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 989[label="",style="solid", color="blue", weight=9]; 989 -> 478[label="",style="solid", color="blue", weight=3]; 990[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 479[label="",style="solid", color="blue", weight=3]; 991[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 480[label="",style="solid", color="blue", weight=3]; 992[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 481[label="",style="solid", color="blue", weight=3]; 993[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 482[label="",style="solid", color="blue", weight=3]; 994[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 483[label="",style="solid", color="blue", weight=3]; 995[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 484[label="",style="solid", color="blue", weight=3]; 996[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 485[label="",style="solid", color="blue", weight=3]; 997[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 486[label="",style="solid", color="blue", weight=3]; 998[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 487[label="",style="solid", color="blue", weight=3]; 999[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 488[label="",style="solid", color="blue", weight=3]; 1000[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 489[label="",style="solid", color="blue", weight=3]; 1001[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 490[label="",style="solid", color="blue", weight=3]; 442 -> 302[label="",style="dashed", color="red", weight=0]; 442[label="xv301 == xv4001",fontsize=16,color="magenta"];442 -> 491[label="",style="dashed", color="magenta", weight=3]; 442 -> 492[label="",style="dashed", color="magenta", weight=3]; 443[label="primEqNat xv300 xv4000",fontsize=16,color="burlywood",shape="triangle"];1002[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];443 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 493[label="",style="solid", color="burlywood", weight=3]; 1003[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];443 -> 1003[label="",style="solid", color="burlywood", weight=9]; 1003 -> 494[label="",style="solid", color="burlywood", weight=3]; 444[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1004[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 495[label="",style="solid", color="blue", weight=3]; 1005[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 496[label="",style="solid", color="blue", weight=3]; 1006[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 497[label="",style="solid", color="blue", weight=3]; 1007[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 498[label="",style="solid", color="blue", weight=3]; 1008[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 499[label="",style="solid", color="blue", weight=3]; 1009[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 500[label="",style="solid", color="blue", weight=3]; 1010[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 501[label="",style="solid", color="blue", weight=3]; 1011[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 502[label="",style="solid", color="blue", weight=3]; 1012[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 503[label="",style="solid", color="blue", weight=3]; 1013[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 504[label="",style="solid", color="blue", weight=3]; 1014[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 505[label="",style="solid", color="blue", weight=3]; 1015[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 506[label="",style="solid", color="blue", weight=3]; 1016[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 507[label="",style="solid", color="blue", weight=3]; 1017[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 508[label="",style="solid", color="blue", weight=3]; 445 -> 239[label="",style="dashed", color="red", weight=0]; 445[label="xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];445 -> 509[label="",style="dashed", color="magenta", weight=3]; 445 -> 510[label="",style="dashed", color="magenta", weight=3]; 446 -> 310[label="",style="dashed", color="red", weight=0]; 446[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];446 -> 511[label="",style="dashed", color="magenta", weight=3]; 446 -> 512[label="",style="dashed", color="magenta", weight=3]; 447 -> 300[label="",style="dashed", color="red", weight=0]; 447[label="xv300 == xv4000",fontsize=16,color="magenta"];447 -> 513[label="",style="dashed", color="magenta", weight=3]; 447 -> 514[label="",style="dashed", color="magenta", weight=3]; 448 -> 301[label="",style="dashed", color="red", weight=0]; 448[label="xv300 == xv4000",fontsize=16,color="magenta"];448 -> 515[label="",style="dashed", color="magenta", weight=3]; 448 -> 516[label="",style="dashed", color="magenta", weight=3]; 449 -> 302[label="",style="dashed", color="red", weight=0]; 449[label="xv300 == xv4000",fontsize=16,color="magenta"];449 -> 517[label="",style="dashed", color="magenta", weight=3]; 449 -> 518[label="",style="dashed", color="magenta", weight=3]; 450 -> 303[label="",style="dashed", color="red", weight=0]; 450[label="xv300 == xv4000",fontsize=16,color="magenta"];450 -> 519[label="",style="dashed", color="magenta", weight=3]; 450 -> 520[label="",style="dashed", color="magenta", weight=3]; 451 -> 304[label="",style="dashed", color="red", weight=0]; 451[label="xv300 == xv4000",fontsize=16,color="magenta"];451 -> 521[label="",style="dashed", color="magenta", weight=3]; 451 -> 522[label="",style="dashed", color="magenta", weight=3]; 452 -> 305[label="",style="dashed", color="red", weight=0]; 452[label="xv300 == xv4000",fontsize=16,color="magenta"];452 -> 523[label="",style="dashed", color="magenta", weight=3]; 452 -> 524[label="",style="dashed", color="magenta", weight=3]; 453 -> 306[label="",style="dashed", color="red", weight=0]; 453[label="xv300 == xv4000",fontsize=16,color="magenta"];453 -> 525[label="",style="dashed", color="magenta", weight=3]; 453 -> 526[label="",style="dashed", color="magenta", weight=3]; 454 -> 307[label="",style="dashed", color="red", weight=0]; 454[label="xv300 == xv4000",fontsize=16,color="magenta"];454 -> 527[label="",style="dashed", color="magenta", weight=3]; 454 -> 528[label="",style="dashed", color="magenta", weight=3]; 455 -> 281[label="",style="dashed", color="red", weight=0]; 455[label="xv300 == xv4000",fontsize=16,color="magenta"];455 -> 529[label="",style="dashed", color="magenta", weight=3]; 455 -> 530[label="",style="dashed", color="magenta", weight=3]; 456 -> 309[label="",style="dashed", color="red", weight=0]; 456[label="xv300 == xv4000",fontsize=16,color="magenta"];456 -> 531[label="",style="dashed", color="magenta", weight=3]; 456 -> 532[label="",style="dashed", color="magenta", weight=3]; 457 -> 310[label="",style="dashed", color="red", weight=0]; 457[label="xv300 == xv4000",fontsize=16,color="magenta"];457 -> 533[label="",style="dashed", color="magenta", weight=3]; 457 -> 534[label="",style="dashed", color="magenta", weight=3]; 458 -> 311[label="",style="dashed", color="red", weight=0]; 458[label="xv300 == xv4000",fontsize=16,color="magenta"];458 -> 535[label="",style="dashed", color="magenta", weight=3]; 458 -> 536[label="",style="dashed", color="magenta", weight=3]; 459 -> 312[label="",style="dashed", color="red", weight=0]; 459[label="xv300 == xv4000",fontsize=16,color="magenta"];459 -> 537[label="",style="dashed", color="magenta", weight=3]; 459 -> 538[label="",style="dashed", color="magenta", weight=3]; 460 -> 313[label="",style="dashed", color="red", weight=0]; 460[label="xv300 == xv4000",fontsize=16,color="magenta"];460 -> 539[label="",style="dashed", color="magenta", weight=3]; 460 -> 540[label="",style="dashed", color="magenta", weight=3]; 461[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1018[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 541[label="",style="solid", color="blue", weight=3]; 1019[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 542[label="",style="solid", color="blue", weight=3]; 462[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1020[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 543[label="",style="solid", color="blue", weight=3]; 1021[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 544[label="",style="solid", color="blue", weight=3]; 463[label="primEqInt (Pos (Succ xv3000)) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1022[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];463 -> 1022[label="",style="solid", color="burlywood", weight=9]; 1022 -> 545[label="",style="solid", color="burlywood", weight=3]; 1023[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];463 -> 1023[label="",style="solid", color="burlywood", weight=9]; 1023 -> 546[label="",style="solid", color="burlywood", weight=3]; 464[label="primEqInt (Pos (Succ xv3000)) (Neg xv4000)",fontsize=16,color="black",shape="box"];464 -> 547[label="",style="solid", color="black", weight=3]; 465[label="primEqInt (Pos Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1024[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];465 -> 1024[label="",style="solid", color="burlywood", weight=9]; 1024 -> 548[label="",style="solid", color="burlywood", weight=3]; 1025[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];465 -> 1025[label="",style="solid", color="burlywood", weight=9]; 1025 -> 549[label="",style="solid", color="burlywood", weight=3]; 466[label="primEqInt (Pos Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1026[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];466 -> 1026[label="",style="solid", color="burlywood", weight=9]; 1026 -> 550[label="",style="solid", color="burlywood", weight=3]; 1027[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];466 -> 1027[label="",style="solid", color="burlywood", weight=9]; 1027 -> 551[label="",style="solid", color="burlywood", weight=3]; 467[label="primEqInt (Neg (Succ xv3000)) (Pos xv4000)",fontsize=16,color="black",shape="box"];467 -> 552[label="",style="solid", color="black", weight=3]; 468[label="primEqInt (Neg (Succ xv3000)) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1028[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];468 -> 1028[label="",style="solid", color="burlywood", weight=9]; 1028 -> 553[label="",style="solid", color="burlywood", weight=3]; 1029[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];468 -> 1029[label="",style="solid", color="burlywood", weight=9]; 1029 -> 554[label="",style="solid", color="burlywood", weight=3]; 469[label="primEqInt (Neg Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1030[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];469 -> 1030[label="",style="solid", color="burlywood", weight=9]; 1030 -> 555[label="",style="solid", color="burlywood", weight=3]; 1031[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];469 -> 1031[label="",style="solid", color="burlywood", weight=9]; 1031 -> 556[label="",style="solid", color="burlywood", weight=3]; 470[label="primEqInt (Neg Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1032[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];470 -> 1032[label="",style="solid", color="burlywood", weight=9]; 1032 -> 557[label="",style="solid", color="burlywood", weight=3]; 1033[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];470 -> 1033[label="",style="solid", color="burlywood", weight=9]; 1033 -> 558[label="",style="solid", color="burlywood", weight=3]; 471[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1034[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 559[label="",style="solid", color="blue", weight=3]; 1035[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 560[label="",style="solid", color="blue", weight=3]; 1036[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 561[label="",style="solid", color="blue", weight=3]; 1037[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 562[label="",style="solid", color="blue", weight=3]; 1038[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1038[label="",style="solid", color="blue", weight=9]; 1038 -> 563[label="",style="solid", color="blue", weight=3]; 1039[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1039[label="",style="solid", color="blue", weight=9]; 1039 -> 564[label="",style="solid", color="blue", weight=3]; 1040[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1040[label="",style="solid", color="blue", weight=9]; 1040 -> 565[label="",style="solid", color="blue", weight=3]; 1041[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1041[label="",style="solid", color="blue", weight=9]; 1041 -> 566[label="",style="solid", color="blue", weight=3]; 1042[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 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"];471 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 568[label="",style="solid", color="blue", weight=3]; 1044[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 569[label="",style="solid", color="blue", weight=3]; 1045[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 570[label="",style="solid", color="blue", weight=3]; 1046[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 571[label="",style="solid", color="blue", weight=3]; 1047[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 572[label="",style="solid", color="blue", weight=3]; 472[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1048[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 573[label="",style="solid", color="blue", weight=3]; 1049[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 574[label="",style="solid", color="blue", weight=3]; 1050[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1050[label="",style="solid", color="blue", weight=9]; 1050 -> 575[label="",style="solid", color="blue", weight=3]; 1051[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1051[label="",style="solid", color="blue", weight=9]; 1051 -> 576[label="",style="solid", color="blue", weight=3]; 1052[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 577[label="",style="solid", color="blue", weight=3]; 1053[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 578[label="",style="solid", color="blue", weight=3]; 1054[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 579[label="",style="solid", color="blue", weight=3]; 1055[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 580[label="",style="solid", color="blue", weight=3]; 1056[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 581[label="",style="solid", color="blue", weight=3]; 1057[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 582[label="",style="solid", color="blue", weight=3]; 1058[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 583[label="",style="solid", color="blue", weight=3]; 1059[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 584[label="",style="solid", color="blue", weight=3]; 1060[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1060[label="",style="solid", color="blue", weight=9]; 1060 -> 585[label="",style="solid", color="blue", weight=3]; 1061[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1061[label="",style="solid", color="blue", weight=9]; 1061 -> 586[label="",style="solid", color="blue", weight=3]; 473[label="xv300",fontsize=16,color="green",shape="box"];474[label="xv4000",fontsize=16,color="green",shape="box"];475[label="xv300 * xv4001",fontsize=16,color="black",shape="triangle"];475 -> 587[label="",style="solid", color="black", weight=3]; 476 -> 475[label="",style="dashed", color="red", weight=0]; 476[label="xv301 * xv4000",fontsize=16,color="magenta"];476 -> 588[label="",style="dashed", color="magenta", weight=3]; 476 -> 589[label="",style="dashed", color="magenta", weight=3]; 477 -> 300[label="",style="dashed", color="red", weight=0]; 477[label="xv300 == xv4000",fontsize=16,color="magenta"];477 -> 590[label="",style="dashed", color="magenta", weight=3]; 477 -> 591[label="",style="dashed", color="magenta", weight=3]; 478 -> 301[label="",style="dashed", color="red", weight=0]; 478[label="xv300 == xv4000",fontsize=16,color="magenta"];478 -> 592[label="",style="dashed", color="magenta", weight=3]; 478 -> 593[label="",style="dashed", color="magenta", weight=3]; 479 -> 302[label="",style="dashed", color="red", weight=0]; 479[label="xv300 == xv4000",fontsize=16,color="magenta"];479 -> 594[label="",style="dashed", color="magenta", weight=3]; 479 -> 595[label="",style="dashed", color="magenta", weight=3]; 480 -> 303[label="",style="dashed", color="red", weight=0]; 480[label="xv300 == xv4000",fontsize=16,color="magenta"];480 -> 596[label="",style="dashed", color="magenta", weight=3]; 480 -> 597[label="",style="dashed", color="magenta", weight=3]; 481 -> 304[label="",style="dashed", color="red", weight=0]; 481[label="xv300 == xv4000",fontsize=16,color="magenta"];481 -> 598[label="",style="dashed", color="magenta", weight=3]; 481 -> 599[label="",style="dashed", color="magenta", weight=3]; 482 -> 305[label="",style="dashed", color="red", weight=0]; 482[label="xv300 == xv4000",fontsize=16,color="magenta"];482 -> 600[label="",style="dashed", color="magenta", weight=3]; 482 -> 601[label="",style="dashed", color="magenta", weight=3]; 483 -> 306[label="",style="dashed", color="red", weight=0]; 483[label="xv300 == xv4000",fontsize=16,color="magenta"];483 -> 602[label="",style="dashed", color="magenta", weight=3]; 483 -> 603[label="",style="dashed", color="magenta", weight=3]; 484 -> 307[label="",style="dashed", color="red", weight=0]; 484[label="xv300 == xv4000",fontsize=16,color="magenta"];484 -> 604[label="",style="dashed", color="magenta", weight=3]; 484 -> 605[label="",style="dashed", color="magenta", weight=3]; 485 -> 281[label="",style="dashed", color="red", weight=0]; 485[label="xv300 == xv4000",fontsize=16,color="magenta"];485 -> 606[label="",style="dashed", color="magenta", weight=3]; 485 -> 607[label="",style="dashed", color="magenta", weight=3]; 486 -> 309[label="",style="dashed", color="red", weight=0]; 486[label="xv300 == xv4000",fontsize=16,color="magenta"];486 -> 608[label="",style="dashed", color="magenta", weight=3]; 486 -> 609[label="",style="dashed", color="magenta", weight=3]; 487 -> 310[label="",style="dashed", color="red", weight=0]; 487[label="xv300 == xv4000",fontsize=16,color="magenta"];487 -> 610[label="",style="dashed", color="magenta", weight=3]; 487 -> 611[label="",style="dashed", color="magenta", weight=3]; 488 -> 311[label="",style="dashed", color="red", weight=0]; 488[label="xv300 == xv4000",fontsize=16,color="magenta"];488 -> 612[label="",style="dashed", color="magenta", weight=3]; 488 -> 613[label="",style="dashed", color="magenta", weight=3]; 489 -> 312[label="",style="dashed", color="red", weight=0]; 489[label="xv300 == xv4000",fontsize=16,color="magenta"];489 -> 614[label="",style="dashed", color="magenta", weight=3]; 489 -> 615[label="",style="dashed", color="magenta", weight=3]; 490 -> 313[label="",style="dashed", color="red", weight=0]; 490[label="xv300 == xv4000",fontsize=16,color="magenta"];490 -> 616[label="",style="dashed", color="magenta", weight=3]; 490 -> 617[label="",style="dashed", color="magenta", weight=3]; 491[label="xv301",fontsize=16,color="green",shape="box"];492[label="xv4001",fontsize=16,color="green",shape="box"];493[label="primEqNat (Succ xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];1062[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];493 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 618[label="",style="solid", color="burlywood", weight=3]; 1063[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];493 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 619[label="",style="solid", color="burlywood", weight=3]; 494[label="primEqNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1064[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];494 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 620[label="",style="solid", color="burlywood", weight=3]; 1065[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];494 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 621[label="",style="solid", color="burlywood", weight=3]; 495 -> 300[label="",style="dashed", color="red", weight=0]; 495[label="xv300 == xv4000",fontsize=16,color="magenta"];495 -> 622[label="",style="dashed", color="magenta", weight=3]; 495 -> 623[label="",style="dashed", color="magenta", weight=3]; 496 -> 301[label="",style="dashed", color="red", weight=0]; 496[label="xv300 == xv4000",fontsize=16,color="magenta"];496 -> 624[label="",style="dashed", color="magenta", weight=3]; 496 -> 625[label="",style="dashed", color="magenta", weight=3]; 497 -> 302[label="",style="dashed", color="red", weight=0]; 497[label="xv300 == xv4000",fontsize=16,color="magenta"];497 -> 626[label="",style="dashed", color="magenta", weight=3]; 497 -> 627[label="",style="dashed", color="magenta", weight=3]; 498 -> 303[label="",style="dashed", color="red", weight=0]; 498[label="xv300 == xv4000",fontsize=16,color="magenta"];498 -> 628[label="",style="dashed", color="magenta", weight=3]; 498 -> 629[label="",style="dashed", color="magenta", weight=3]; 499 -> 304[label="",style="dashed", color="red", weight=0]; 499[label="xv300 == xv4000",fontsize=16,color="magenta"];499 -> 630[label="",style="dashed", color="magenta", weight=3]; 499 -> 631[label="",style="dashed", color="magenta", weight=3]; 500 -> 305[label="",style="dashed", color="red", weight=0]; 500[label="xv300 == xv4000",fontsize=16,color="magenta"];500 -> 632[label="",style="dashed", color="magenta", weight=3]; 500 -> 633[label="",style="dashed", color="magenta", weight=3]; 501 -> 306[label="",style="dashed", color="red", weight=0]; 501[label="xv300 == xv4000",fontsize=16,color="magenta"];501 -> 634[label="",style="dashed", color="magenta", weight=3]; 501 -> 635[label="",style="dashed", color="magenta", weight=3]; 502 -> 307[label="",style="dashed", color="red", weight=0]; 502[label="xv300 == xv4000",fontsize=16,color="magenta"];502 -> 636[label="",style="dashed", color="magenta", weight=3]; 502 -> 637[label="",style="dashed", color="magenta", weight=3]; 503 -> 281[label="",style="dashed", color="red", weight=0]; 503[label="xv300 == xv4000",fontsize=16,color="magenta"];503 -> 638[label="",style="dashed", color="magenta", weight=3]; 503 -> 639[label="",style="dashed", color="magenta", weight=3]; 504 -> 309[label="",style="dashed", color="red", weight=0]; 504[label="xv300 == xv4000",fontsize=16,color="magenta"];504 -> 640[label="",style="dashed", color="magenta", weight=3]; 504 -> 641[label="",style="dashed", color="magenta", weight=3]; 505 -> 310[label="",style="dashed", color="red", weight=0]; 505[label="xv300 == xv4000",fontsize=16,color="magenta"];505 -> 642[label="",style="dashed", color="magenta", weight=3]; 505 -> 643[label="",style="dashed", color="magenta", weight=3]; 506 -> 311[label="",style="dashed", color="red", weight=0]; 506[label="xv300 == xv4000",fontsize=16,color="magenta"];506 -> 644[label="",style="dashed", color="magenta", weight=3]; 506 -> 645[label="",style="dashed", color="magenta", weight=3]; 507 -> 312[label="",style="dashed", color="red", weight=0]; 507[label="xv300 == xv4000",fontsize=16,color="magenta"];507 -> 646[label="",style="dashed", color="magenta", weight=3]; 507 -> 647[label="",style="dashed", color="magenta", weight=3]; 508 -> 313[label="",style="dashed", color="red", weight=0]; 508[label="xv300 == xv4000",fontsize=16,color="magenta"];508 -> 648[label="",style="dashed", color="magenta", weight=3]; 508 -> 649[label="",style="dashed", color="magenta", weight=3]; 509[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1066[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 650[label="",style="solid", color="blue", weight=3]; 1067[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 651[label="",style="solid", color="blue", weight=3]; 1068[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 652[label="",style="solid", color="blue", weight=3]; 1069[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 653[label="",style="solid", color="blue", weight=3]; 1070[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 654[label="",style="solid", color="blue", weight=3]; 1071[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 655[label="",style="solid", color="blue", weight=3]; 1072[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 656[label="",style="solid", color="blue", weight=3]; 1073[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 657[label="",style="solid", color="blue", weight=3]; 1074[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 658[label="",style="solid", color="blue", weight=3]; 1075[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 659[label="",style="solid", color="blue", weight=3]; 1076[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 660[label="",style="solid", color="blue", weight=3]; 1077[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 661[label="",style="solid", color="blue", weight=3]; 1078[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 662[label="",style="solid", color="blue", weight=3]; 1079[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 663[label="",style="solid", color="blue", weight=3]; 510[label="xv302 == xv4002",fontsize=16,color="blue",shape="box"];1080[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1080[label="",style="solid", color="blue", weight=9]; 1080 -> 664[label="",style="solid", color="blue", weight=3]; 1081[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1081[label="",style="solid", color="blue", weight=9]; 1081 -> 665[label="",style="solid", color="blue", weight=3]; 1082[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1082[label="",style="solid", color="blue", weight=9]; 1082 -> 666[label="",style="solid", color="blue", weight=3]; 1083[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1083[label="",style="solid", color="blue", weight=9]; 1083 -> 667[label="",style="solid", color="blue", weight=3]; 1084[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1084[label="",style="solid", color="blue", weight=9]; 1084 -> 668[label="",style="solid", color="blue", weight=3]; 1085[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1085[label="",style="solid", color="blue", weight=9]; 1085 -> 669[label="",style="solid", color="blue", weight=3]; 1086[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1086[label="",style="solid", color="blue", weight=9]; 1086 -> 670[label="",style="solid", color="blue", weight=3]; 1087[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1087[label="",style="solid", color="blue", weight=9]; 1087 -> 671[label="",style="solid", color="blue", weight=3]; 1088[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1088[label="",style="solid", color="blue", weight=9]; 1088 -> 672[label="",style="solid", color="blue", weight=3]; 1089[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1089[label="",style="solid", color="blue", weight=9]; 1089 -> 673[label="",style="solid", color="blue", weight=3]; 1090[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1090[label="",style="solid", color="blue", weight=9]; 1090 -> 674[label="",style="solid", color="blue", weight=3]; 1091[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1091[label="",style="solid", color="blue", weight=9]; 1091 -> 675[label="",style="solid", color="blue", weight=3]; 1092[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 676[label="",style="solid", color="blue", weight=3]; 1093[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];510 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 677[label="",style="solid", color="blue", weight=3]; 511 -> 475[label="",style="dashed", color="red", weight=0]; 511[label="xv300 * xv4001",fontsize=16,color="magenta"];511 -> 678[label="",style="dashed", color="magenta", weight=3]; 511 -> 679[label="",style="dashed", color="magenta", weight=3]; 512 -> 475[label="",style="dashed", color="red", weight=0]; 512[label="xv301 * xv4000",fontsize=16,color="magenta"];512 -> 680[label="",style="dashed", color="magenta", weight=3]; 512 -> 681[label="",style="dashed", color="magenta", weight=3]; 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[label="xv300",fontsize=16,color="green",shape="box"];526[label="xv4000",fontsize=16,color="green",shape="box"];527[label="xv300",fontsize=16,color="green",shape="box"];528[label="xv4000",fontsize=16,color="green",shape="box"];529[label="xv4000",fontsize=16,color="green",shape="box"];530[label="xv300",fontsize=16,color="green",shape="box"];531[label="xv300",fontsize=16,color="green",shape="box"];532[label="xv4000",fontsize=16,color="green",shape="box"];533[label="xv300",fontsize=16,color="green",shape="box"];534[label="xv4000",fontsize=16,color="green",shape="box"];535[label="xv300",fontsize=16,color="green",shape="box"];536[label="xv4000",fontsize=16,color="green",shape="box"];537[label="xv300",fontsize=16,color="green",shape="box"];538[label="xv4000",fontsize=16,color="green",shape="box"];539[label="xv300",fontsize=16,color="green",shape="box"];540[label="xv4000",fontsize=16,color="green",shape="box"];541 -> 310[label="",style="dashed", color="red", weight=0]; 541[label="xv300 == xv4000",fontsize=16,color="magenta"];541 -> 682[label="",style="dashed", color="magenta", weight=3]; 541 -> 683[label="",style="dashed", color="magenta", weight=3]; 542 -> 312[label="",style="dashed", color="red", weight=0]; 542[label="xv300 == xv4000",fontsize=16,color="magenta"];542 -> 684[label="",style="dashed", color="magenta", weight=3]; 542 -> 685[label="",style="dashed", color="magenta", weight=3]; 543 -> 310[label="",style="dashed", color="red", weight=0]; 543[label="xv301 == xv4001",fontsize=16,color="magenta"];543 -> 686[label="",style="dashed", color="magenta", weight=3]; 543 -> 687[label="",style="dashed", color="magenta", weight=3]; 544 -> 312[label="",style="dashed", color="red", weight=0]; 544[label="xv301 == xv4001",fontsize=16,color="magenta"];544 -> 688[label="",style="dashed", color="magenta", weight=3]; 544 -> 689[label="",style="dashed", color="magenta", weight=3]; 545[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];545 -> 690[label="",style="solid", color="black", weight=3]; 546[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];546 -> 691[label="",style="solid", color="black", weight=3]; 547[label="False",fontsize=16,color="green",shape="box"];548[label="primEqInt (Pos Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];548 -> 692[label="",style="solid", color="black", weight=3]; 549[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];549 -> 693[label="",style="solid", color="black", weight=3]; 550[label="primEqInt (Pos Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];550 -> 694[label="",style="solid", color="black", weight=3]; 551[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];551 -> 695[label="",style="solid", color="black", weight=3]; 552[label="False",fontsize=16,color="green",shape="box"];553[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];553 -> 696[label="",style="solid", color="black", weight=3]; 554[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];554 -> 697[label="",style="solid", color="black", weight=3]; 555[label="primEqInt (Neg Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];555 -> 698[label="",style="solid", color="black", weight=3]; 556[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];556 -> 699[label="",style="solid", color="black", weight=3]; 557[label="primEqInt (Neg Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];557 -> 700[label="",style="solid", color="black", weight=3]; 558[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];558 -> 701[label="",style="solid", color="black", weight=3]; 559 -> 300[label="",style="dashed", color="red", weight=0]; 559[label="xv300 == xv4000",fontsize=16,color="magenta"];559 -> 702[label="",style="dashed", color="magenta", weight=3]; 559 -> 703[label="",style="dashed", color="magenta", weight=3]; 560 -> 301[label="",style="dashed", color="red", weight=0]; 560[label="xv300 == xv4000",fontsize=16,color="magenta"];560 -> 704[label="",style="dashed", color="magenta", weight=3]; 560 -> 705[label="",style="dashed", color="magenta", weight=3]; 561 -> 302[label="",style="dashed", color="red", weight=0]; 561[label="xv300 == xv4000",fontsize=16,color="magenta"];561 -> 706[label="",style="dashed", color="magenta", weight=3]; 561 -> 707[label="",style="dashed", color="magenta", weight=3]; 562 -> 303[label="",style="dashed", color="red", weight=0]; 562[label="xv300 == xv4000",fontsize=16,color="magenta"];562 -> 708[label="",style="dashed", color="magenta", weight=3]; 562 -> 709[label="",style="dashed", color="magenta", weight=3]; 563 -> 304[label="",style="dashed", color="red", weight=0]; 563[label="xv300 == xv4000",fontsize=16,color="magenta"];563 -> 710[label="",style="dashed", color="magenta", weight=3]; 563 -> 711[label="",style="dashed", color="magenta", weight=3]; 564 -> 305[label="",style="dashed", color="red", weight=0]; 564[label="xv300 == xv4000",fontsize=16,color="magenta"];564 -> 712[label="",style="dashed", color="magenta", weight=3]; 564 -> 713[label="",style="dashed", color="magenta", weight=3]; 565 -> 306[label="",style="dashed", color="red", weight=0]; 565[label="xv300 == xv4000",fontsize=16,color="magenta"];565 -> 714[label="",style="dashed", color="magenta", weight=3]; 565 -> 715[label="",style="dashed", color="magenta", weight=3]; 566 -> 307[label="",style="dashed", color="red", weight=0]; 566[label="xv300 == xv4000",fontsize=16,color="magenta"];566 -> 716[label="",style="dashed", color="magenta", weight=3]; 566 -> 717[label="",style="dashed", color="magenta", weight=3]; 567 -> 281[label="",style="dashed", color="red", weight=0]; 567[label="xv300 == xv4000",fontsize=16,color="magenta"];567 -> 718[label="",style="dashed", color="magenta", weight=3]; 567 -> 719[label="",style="dashed", color="magenta", weight=3]; 568 -> 309[label="",style="dashed", color="red", weight=0]; 568[label="xv300 == xv4000",fontsize=16,color="magenta"];568 -> 720[label="",style="dashed", color="magenta", weight=3]; 568 -> 721[label="",style="dashed", color="magenta", weight=3]; 569 -> 310[label="",style="dashed", color="red", weight=0]; 569[label="xv300 == xv4000",fontsize=16,color="magenta"];569 -> 722[label="",style="dashed", color="magenta", weight=3]; 569 -> 723[label="",style="dashed", color="magenta", weight=3]; 570 -> 311[label="",style="dashed", color="red", weight=0]; 570[label="xv300 == xv4000",fontsize=16,color="magenta"];570 -> 724[label="",style="dashed", color="magenta", weight=3]; 570 -> 725[label="",style="dashed", color="magenta", weight=3]; 571 -> 312[label="",style="dashed", color="red", weight=0]; 571[label="xv300 == xv4000",fontsize=16,color="magenta"];571 -> 726[label="",style="dashed", color="magenta", weight=3]; 571 -> 727[label="",style="dashed", color="magenta", weight=3]; 572 -> 313[label="",style="dashed", color="red", weight=0]; 572[label="xv300 == xv4000",fontsize=16,color="magenta"];572 -> 728[label="",style="dashed", color="magenta", weight=3]; 572 -> 729[label="",style="dashed", color="magenta", weight=3]; 573 -> 300[label="",style="dashed", color="red", weight=0]; 573[label="xv301 == xv4001",fontsize=16,color="magenta"];573 -> 730[label="",style="dashed", color="magenta", weight=3]; 573 -> 731[label="",style="dashed", color="magenta", weight=3]; 574 -> 301[label="",style="dashed", color="red", weight=0]; 574[label="xv301 == xv4001",fontsize=16,color="magenta"];574 -> 732[label="",style="dashed", color="magenta", weight=3]; 574 -> 733[label="",style="dashed", color="magenta", weight=3]; 575 -> 302[label="",style="dashed", color="red", weight=0]; 575[label="xv301 == xv4001",fontsize=16,color="magenta"];575 -> 734[label="",style="dashed", color="magenta", weight=3]; 575 -> 735[label="",style="dashed", color="magenta", weight=3]; 576 -> 303[label="",style="dashed", color="red", weight=0]; 576[label="xv301 == xv4001",fontsize=16,color="magenta"];576 -> 736[label="",style="dashed", color="magenta", weight=3]; 576 -> 737[label="",style="dashed", color="magenta", weight=3]; 577 -> 304[label="",style="dashed", color="red", weight=0]; 577[label="xv301 == xv4001",fontsize=16,color="magenta"];577 -> 738[label="",style="dashed", color="magenta", weight=3]; 577 -> 739[label="",style="dashed", color="magenta", weight=3]; 578 -> 305[label="",style="dashed", color="red", weight=0]; 578[label="xv301 == xv4001",fontsize=16,color="magenta"];578 -> 740[label="",style="dashed", color="magenta", weight=3]; 578 -> 741[label="",style="dashed", color="magenta", weight=3]; 579 -> 306[label="",style="dashed", color="red", weight=0]; 579[label="xv301 == xv4001",fontsize=16,color="magenta"];579 -> 742[label="",style="dashed", color="magenta", weight=3]; 579 -> 743[label="",style="dashed", color="magenta", weight=3]; 580 -> 307[label="",style="dashed", color="red", weight=0]; 580[label="xv301 == xv4001",fontsize=16,color="magenta"];580 -> 744[label="",style="dashed", color="magenta", weight=3]; 580 -> 745[label="",style="dashed", color="magenta", weight=3]; 581 -> 281[label="",style="dashed", color="red", weight=0]; 581[label="xv301 == xv4001",fontsize=16,color="magenta"];581 -> 746[label="",style="dashed", color="magenta", weight=3]; 581 -> 747[label="",style="dashed", color="magenta", weight=3]; 582 -> 309[label="",style="dashed", color="red", weight=0]; 582[label="xv301 == xv4001",fontsize=16,color="magenta"];582 -> 748[label="",style="dashed", color="magenta", weight=3]; 582 -> 749[label="",style="dashed", color="magenta", weight=3]; 583 -> 310[label="",style="dashed", color="red", weight=0]; 583[label="xv301 == xv4001",fontsize=16,color="magenta"];583 -> 750[label="",style="dashed", color="magenta", weight=3]; 583 -> 751[label="",style="dashed", color="magenta", weight=3]; 584 -> 311[label="",style="dashed", color="red", weight=0]; 584[label="xv301 == xv4001",fontsize=16,color="magenta"];584 -> 752[label="",style="dashed", color="magenta", weight=3]; 584 -> 753[label="",style="dashed", color="magenta", weight=3]; 585 -> 312[label="",style="dashed", color="red", weight=0]; 585[label="xv301 == xv4001",fontsize=16,color="magenta"];585 -> 754[label="",style="dashed", color="magenta", weight=3]; 585 -> 755[label="",style="dashed", color="magenta", weight=3]; 586 -> 313[label="",style="dashed", color="red", weight=0]; 586[label="xv301 == xv4001",fontsize=16,color="magenta"];586 -> 756[label="",style="dashed", color="magenta", weight=3]; 586 -> 757[label="",style="dashed", color="magenta", weight=3]; 587[label="primMulInt xv300 xv4001",fontsize=16,color="burlywood",shape="box"];1094[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];587 -> 1094[label="",style="solid", color="burlywood", weight=9]; 1094 -> 758[label="",style="solid", color="burlywood", weight=3]; 1095[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];587 -> 1095[label="",style="solid", color="burlywood", weight=9]; 1095 -> 759[label="",style="solid", color="burlywood", weight=3]; 588[label="xv4000",fontsize=16,color="green",shape="box"];589[label="xv301",fontsize=16,color="green",shape="box"];590[label="xv300",fontsize=16,color="green",shape="box"];591[label="xv4000",fontsize=16,color="green",shape="box"];592[label="xv300",fontsize=16,color="green",shape="box"];593[label="xv4000",fontsize=16,color="green",shape="box"];594[label="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="xv300",fontsize=16,color="green",shape="box"];605[label="xv4000",fontsize=16,color="green",shape="box"];606[label="xv4000",fontsize=16,color="green",shape="box"];607[label="xv300",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="primEqNat (Succ xv3000) (Succ xv40000)",fontsize=16,color="black",shape="box"];618 -> 760[label="",style="solid", color="black", weight=3]; 619[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];619 -> 761[label="",style="solid", color="black", weight=3]; 620[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];620 -> 762[label="",style="solid", color="black", weight=3]; 621[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];621 -> 763[label="",style="solid", color="black", weight=3]; 622[label="xv300",fontsize=16,color="green",shape="box"];623[label="xv4000",fontsize=16,color="green",shape="box"];624[label="xv300",fontsize=16,color="green",shape="box"];625[label="xv4000",fontsize=16,color="green",shape="box"];626[label="xv300",fontsize=16,color="green",shape="box"];627[label="xv4000",fontsize=16,color="green",shape="box"];628[label="xv300",fontsize=16,color="green",shape="box"];629[label="xv4000",fontsize=16,color="green",shape="box"];630[label="xv300",fontsize=16,color="green",shape="box"];631[label="xv4000",fontsize=16,color="green",shape="box"];632[label="xv300",fontsize=16,color="green",shape="box"];633[label="xv4000",fontsize=16,color="green",shape="box"];634[label="xv300",fontsize=16,color="green",shape="box"];635[label="xv4000",fontsize=16,color="green",shape="box"];636[label="xv300",fontsize=16,color="green",shape="box"];637[label="xv4000",fontsize=16,color="green",shape="box"];638[label="xv4000",fontsize=16,color="green",shape="box"];639[label="xv300",fontsize=16,color="green",shape="box"];640[label="xv300",fontsize=16,color="green",shape="box"];641[label="xv4000",fontsize=16,color="green",shape="box"];642[label="xv300",fontsize=16,color="green",shape="box"];643[label="xv4000",fontsize=16,color="green",shape="box"];644[label="xv300",fontsize=16,color="green",shape="box"];645[label="xv4000",fontsize=16,color="green",shape="box"];646[label="xv300",fontsize=16,color="green",shape="box"];647[label="xv4000",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 -> 300[label="",style="dashed", color="red", weight=0]; 650[label="xv301 == xv4001",fontsize=16,color="magenta"];650 -> 764[label="",style="dashed", color="magenta", weight=3]; 650 -> 765[label="",style="dashed", color="magenta", weight=3]; 651 -> 301[label="",style="dashed", color="red", weight=0]; 651[label="xv301 == xv4001",fontsize=16,color="magenta"];651 -> 766[label="",style="dashed", color="magenta", weight=3]; 651 -> 767[label="",style="dashed", color="magenta", weight=3]; 652 -> 302[label="",style="dashed", color="red", weight=0]; 652[label="xv301 == xv4001",fontsize=16,color="magenta"];652 -> 768[label="",style="dashed", color="magenta", weight=3]; 652 -> 769[label="",style="dashed", color="magenta", weight=3]; 653 -> 303[label="",style="dashed", color="red", weight=0]; 653[label="xv301 == xv4001",fontsize=16,color="magenta"];653 -> 770[label="",style="dashed", color="magenta", weight=3]; 653 -> 771[label="",style="dashed", color="magenta", weight=3]; 654 -> 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310[label="",style="dashed", color="red", weight=0]; 674[label="xv302 == xv4002",fontsize=16,color="magenta"];674 -> 812[label="",style="dashed", color="magenta", weight=3]; 674 -> 813[label="",style="dashed", color="magenta", weight=3]; 675 -> 311[label="",style="dashed", color="red", weight=0]; 675[label="xv302 == xv4002",fontsize=16,color="magenta"];675 -> 814[label="",style="dashed", color="magenta", weight=3]; 675 -> 815[label="",style="dashed", color="magenta", weight=3]; 676 -> 312[label="",style="dashed", color="red", weight=0]; 676[label="xv302 == xv4002",fontsize=16,color="magenta"];676 -> 816[label="",style="dashed", color="magenta", weight=3]; 676 -> 817[label="",style="dashed", color="magenta", weight=3]; 677 -> 313[label="",style="dashed", color="red", weight=0]; 677[label="xv302 == xv4002",fontsize=16,color="magenta"];677 -> 818[label="",style="dashed", color="magenta", weight=3]; 677 -> 819[label="",style="dashed", color="magenta", weight=3]; 678[label="xv4001",fontsize=16,color="green",shape="box"];679[label="xv300",fontsize=16,color="green",shape="box"];680[label="xv4000",fontsize=16,color="green",shape="box"];681[label="xv301",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="xv4000",fontsize=16,color="green",shape="box"];686[label="xv301",fontsize=16,color="green",shape="box"];687[label="xv4001",fontsize=16,color="green",shape="box"];688[label="xv301",fontsize=16,color="green",shape="box"];689[label="xv4001",fontsize=16,color="green",shape="box"];690 -> 443[label="",style="dashed", color="red", weight=0]; 690[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];690 -> 820[label="",style="dashed", color="magenta", weight=3]; 690 -> 821[label="",style="dashed", color="magenta", weight=3]; 691[label="False",fontsize=16,color="green",shape="box"];692[label="False",fontsize=16,color="green",shape="box"];693[label="True",fontsize=16,color="green",shape="box"];694[label="False",fontsize=16,color="green",shape="box"];695[label="True",fontsize=16,color="green",shape="box"];696 -> 443[label="",style="dashed", color="red", weight=0]; 696[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];696 -> 822[label="",style="dashed", color="magenta", weight=3]; 696 -> 823[label="",style="dashed", color="magenta", weight=3]; 697[label="False",fontsize=16,color="green",shape="box"];698[label="False",fontsize=16,color="green",shape="box"];699[label="True",fontsize=16,color="green",shape="box"];700[label="False",fontsize=16,color="green",shape="box"];701[label="True",fontsize=16,color="green",shape="box"];702[label="xv300",fontsize=16,color="green",shape="box"];703[label="xv4000",fontsize=16,color="green",shape="box"];704[label="xv300",fontsize=16,color="green",shape="box"];705[label="xv4000",fontsize=16,color="green",shape="box"];706[label="xv300",fontsize=16,color="green",shape="box"];707[label="xv4000",fontsize=16,color="green",shape="box"];708[label="xv300",fontsize=16,color="green",shape="box"];709[label="xv4000",fontsize=16,color="green",shape="box"];710[label="xv300",fontsize=16,color="green",shape="box"];711[label="xv4000",fontsize=16,color="green",shape="box"];712[label="xv300",fontsize=16,color="green",shape="box"];713[label="xv4000",fontsize=16,color="green",shape="box"];714[label="xv300",fontsize=16,color="green",shape="box"];715[label="xv4000",fontsize=16,color="green",shape="box"];716[label="xv300",fontsize=16,color="green",shape="box"];717[label="xv4000",fontsize=16,color="green",shape="box"];718[label="xv4000",fontsize=16,color="green",shape="box"];719[label="xv300",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="xv300",fontsize=16,color="green",shape="box"];729[label="xv4000",fontsize=16,color="green",shape="box"];730[label="xv301",fontsize=16,color="green",shape="box"];731[label="xv4001",fontsize=16,color="green",shape="box"];732[label="xv301",fontsize=16,color="green",shape="box"];733[label="xv4001",fontsize=16,color="green",shape="box"];734[label="xv301",fontsize=16,color="green",shape="box"];735[label="xv4001",fontsize=16,color="green",shape="box"];736[label="xv301",fontsize=16,color="green",shape="box"];737[label="xv4001",fontsize=16,color="green",shape="box"];738[label="xv301",fontsize=16,color="green",shape="box"];739[label="xv4001",fontsize=16,color="green",shape="box"];740[label="xv301",fontsize=16,color="green",shape="box"];741[label="xv4001",fontsize=16,color="green",shape="box"];742[label="xv301",fontsize=16,color="green",shape="box"];743[label="xv4001",fontsize=16,color="green",shape="box"];744[label="xv301",fontsize=16,color="green",shape="box"];745[label="xv4001",fontsize=16,color="green",shape="box"];746[label="xv4001",fontsize=16,color="green",shape="box"];747[label="xv301",fontsize=16,color="green",shape="box"];748[label="xv301",fontsize=16,color="green",shape="box"];749[label="xv4001",fontsize=16,color="green",shape="box"];750[label="xv301",fontsize=16,color="green",shape="box"];751[label="xv4001",fontsize=16,color="green",shape="box"];752[label="xv301",fontsize=16,color="green",shape="box"];753[label="xv4001",fontsize=16,color="green",shape="box"];754[label="xv301",fontsize=16,color="green",shape="box"];755[label="xv4001",fontsize=16,color="green",shape="box"];756[label="xv301",fontsize=16,color="green",shape="box"];757[label="xv4001",fontsize=16,color="green",shape="box"];758[label="primMulInt (Pos xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];1096[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];758 -> 1096[label="",style="solid", color="burlywood", weight=9]; 1096 -> 824[label="",style="solid", color="burlywood", weight=3]; 1097[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];758 -> 1097[label="",style="solid", color="burlywood", weight=9]; 1097 -> 825[label="",style="solid", color="burlywood", weight=3]; 759[label="primMulInt (Neg xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];1098[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];759 -> 1098[label="",style="solid", color="burlywood", weight=9]; 1098 -> 826[label="",style="solid", color="burlywood", weight=3]; 1099[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];759 -> 1099[label="",style="solid", color="burlywood", weight=9]; 1099 -> 827[label="",style="solid", color="burlywood", weight=3]; 760 -> 443[label="",style="dashed", color="red", weight=0]; 760[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];760 -> 828[label="",style="dashed", color="magenta", weight=3]; 760 -> 829[label="",style="dashed", color="magenta", weight=3]; 761[label="False",fontsize=16,color="green",shape="box"];762[label="False",fontsize=16,color="green",shape="box"];763[label="True",fontsize=16,color="green",shape="box"];764[label="xv301",fontsize=16,color="green",shape="box"];765[label="xv4001",fontsize=16,color="green",shape="box"];766[label="xv301",fontsize=16,color="green",shape="box"];767[label="xv4001",fontsize=16,color="green",shape="box"];768[label="xv301",fontsize=16,color="green",shape="box"];769[label="xv4001",fontsize=16,color="green",shape="box"];770[label="xv301",fontsize=16,color="green",shape="box"];771[label="xv4001",fontsize=16,color="green",shape="box"];772[label="xv301",fontsize=16,color="green",shape="box"];773[label="xv4001",fontsize=16,color="green",shape="box"];774[label="xv301",fontsize=16,color="green",shape="box"];775[label="xv4001",fontsize=16,color="green",shape="box"];776[label="xv301",fontsize=16,color="green",shape="box"];777[label="xv4001",fontsize=16,color="green",shape="box"];778[label="xv301",fontsize=16,color="green",shape="box"];779[label="xv4001",fontsize=16,color="green",shape="box"];780[label="xv4001",fontsize=16,color="green",shape="box"];781[label="xv301",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="xv302",fontsize=16,color="green",shape="box"];793[label="xv4002",fontsize=16,color="green",shape="box"];794[label="xv302",fontsize=16,color="green",shape="box"];795[label="xv4002",fontsize=16,color="green",shape="box"];796[label="xv302",fontsize=16,color="green",shape="box"];797[label="xv4002",fontsize=16,color="green",shape="box"];798[label="xv302",fontsize=16,color="green",shape="box"];799[label="xv4002",fontsize=16,color="green",shape="box"];800[label="xv302",fontsize=16,color="green",shape="box"];801[label="xv4002",fontsize=16,color="green",shape="box"];802[label="xv302",fontsize=16,color="green",shape="box"];803[label="xv4002",fontsize=16,color="green",shape="box"];804[label="xv302",fontsize=16,color="green",shape="box"];805[label="xv4002",fontsize=16,color="green",shape="box"];806[label="xv302",fontsize=16,color="green",shape="box"];807[label="xv4002",fontsize=16,color="green",shape="box"];808[label="xv4002",fontsize=16,color="green",shape="box"];809[label="xv302",fontsize=16,color="green",shape="box"];810[label="xv302",fontsize=16,color="green",shape="box"];811[label="xv4002",fontsize=16,color="green",shape="box"];812[label="xv302",fontsize=16,color="green",shape="box"];813[label="xv4002",fontsize=16,color="green",shape="box"];814[label="xv302",fontsize=16,color="green",shape="box"];815[label="xv4002",fontsize=16,color="green",shape="box"];816[label="xv302",fontsize=16,color="green",shape="box"];817[label="xv4002",fontsize=16,color="green",shape="box"];818[label="xv302",fontsize=16,color="green",shape="box"];819[label="xv4002",fontsize=16,color="green",shape="box"];820[label="xv3000",fontsize=16,color="green",shape="box"];821[label="xv40000",fontsize=16,color="green",shape="box"];822[label="xv3000",fontsize=16,color="green",shape="box"];823[label="xv40000",fontsize=16,color="green",shape="box"];824[label="primMulInt (Pos xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];824 -> 830[label="",style="solid", color="black", weight=3]; 825[label="primMulInt (Pos xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];825 -> 831[label="",style="solid", color="black", weight=3]; 826[label="primMulInt (Neg xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];826 -> 832[label="",style="solid", color="black", weight=3]; 827[label="primMulInt (Neg xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];827 -> 833[label="",style="solid", color="black", weight=3]; 828[label="xv3000",fontsize=16,color="green",shape="box"];829[label="xv40000",fontsize=16,color="green",shape="box"];830[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];830 -> 834[label="",style="dashed", color="green", weight=3]; 831[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];831 -> 835[label="",style="dashed", color="green", weight=3]; 832[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];832 -> 836[label="",style="dashed", color="green", weight=3]; 833[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];833 -> 837[label="",style="dashed", color="green", weight=3]; 834[label="primMulNat xv3000 xv40010",fontsize=16,color="burlywood",shape="triangle"];1100[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];834 -> 1100[label="",style="solid", color="burlywood", weight=9]; 1100 -> 838[label="",style="solid", color="burlywood", weight=3]; 1101[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];834 -> 1101[label="",style="solid", color="burlywood", weight=9]; 1101 -> 839[label="",style="solid", color="burlywood", weight=3]; 835 -> 834[label="",style="dashed", color="red", weight=0]; 835[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];835 -> 840[label="",style="dashed", color="magenta", weight=3]; 836 -> 834[label="",style="dashed", color="red", weight=0]; 836[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];836 -> 841[label="",style="dashed", color="magenta", weight=3]; 837 -> 834[label="",style="dashed", color="red", weight=0]; 837[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];837 -> 842[label="",style="dashed", color="magenta", weight=3]; 837 -> 843[label="",style="dashed", color="magenta", weight=3]; 838[label="primMulNat (Succ xv30000) xv40010",fontsize=16,color="burlywood",shape="box"];1102[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];838 -> 1102[label="",style="solid", color="burlywood", weight=9]; 1102 -> 844[label="",style="solid", color="burlywood", weight=3]; 1103[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];838 -> 1103[label="",style="solid", color="burlywood", weight=9]; 1103 -> 845[label="",style="solid", color="burlywood", weight=3]; 839[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];1104[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];839 -> 1104[label="",style="solid", color="burlywood", weight=9]; 1104 -> 846[label="",style="solid", color="burlywood", weight=3]; 1105[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];839 -> 1105[label="",style="solid", color="burlywood", weight=9]; 1105 -> 847[label="",style="solid", color="burlywood", weight=3]; 840[label="xv40010",fontsize=16,color="green",shape="box"];841[label="xv3000",fontsize=16,color="green",shape="box"];842[label="xv3000",fontsize=16,color="green",shape="box"];843[label="xv40010",fontsize=16,color="green",shape="box"];844[label="primMulNat (Succ xv30000) (Succ xv400100)",fontsize=16,color="black",shape="box"];844 -> 848[label="",style="solid", color="black", weight=3]; 845[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];845 -> 849[label="",style="solid", color="black", weight=3]; 846[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];846 -> 850[label="",style="solid", color="black", weight=3]; 847[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];847 -> 851[label="",style="solid", color="black", weight=3]; 848 -> 852[label="",style="dashed", color="red", weight=0]; 848[label="primPlusNat (primMulNat xv30000 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];848 -> 853[label="",style="dashed", color="magenta", weight=3]; 849[label="Zero",fontsize=16,color="green",shape="box"];850[label="Zero",fontsize=16,color="green",shape="box"];851[label="Zero",fontsize=16,color="green",shape="box"];853 -> 834[label="",style="dashed", color="red", weight=0]; 853[label="primMulNat xv30000 (Succ xv400100)",fontsize=16,color="magenta"];853 -> 854[label="",style="dashed", color="magenta", weight=3]; 853 -> 855[label="",style="dashed", color="magenta", weight=3]; 852[label="primPlusNat xv20 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];1106[label="xv20/Succ xv200",fontsize=10,color="white",style="solid",shape="box"];852 -> 1106[label="",style="solid", color="burlywood", weight=9]; 1106 -> 856[label="",style="solid", color="burlywood", weight=3]; 1107[label="xv20/Zero",fontsize=10,color="white",style="solid",shape="box"];852 -> 1107[label="",style="solid", color="burlywood", weight=9]; 1107 -> 857[label="",style="solid", color="burlywood", weight=3]; 854[label="xv30000",fontsize=16,color="green",shape="box"];855[label="Succ xv400100",fontsize=16,color="green",shape="box"];856[label="primPlusNat (Succ xv200) (Succ xv400100)",fontsize=16,color="black",shape="box"];856 -> 858[label="",style="solid", color="black", weight=3]; 857[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];857 -> 859[label="",style="solid", color="black", weight=3]; 858[label="Succ (Succ (primPlusNat xv200 xv400100))",fontsize=16,color="green",shape="box"];858 -> 860[label="",style="dashed", color="green", weight=3]; 859[label="Succ xv400100",fontsize=16,color="green",shape="box"];860[label="primPlusNat xv200 xv400100",fontsize=16,color="burlywood",shape="triangle"];1108[label="xv200/Succ xv2000",fontsize=10,color="white",style="solid",shape="box"];860 -> 1108[label="",style="solid", color="burlywood", weight=9]; 1108 -> 861[label="",style="solid", color="burlywood", weight=3]; 1109[label="xv200/Zero",fontsize=10,color="white",style="solid",shape="box"];860 -> 1109[label="",style="solid", color="burlywood", weight=9]; 1109 -> 862[label="",style="solid", color="burlywood", weight=3]; 861[label="primPlusNat (Succ xv2000) xv400100",fontsize=16,color="burlywood",shape="box"];1110[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];861 -> 1110[label="",style="solid", color="burlywood", weight=9]; 1110 -> 863[label="",style="solid", color="burlywood", weight=3]; 1111[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];861 -> 1111[label="",style="solid", color="burlywood", weight=9]; 1111 -> 864[label="",style="solid", color="burlywood", weight=3]; 862[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];1112[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];862 -> 1112[label="",style="solid", color="burlywood", weight=9]; 1112 -> 865[label="",style="solid", color="burlywood", weight=3]; 1113[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];862 -> 1113[label="",style="solid", color="burlywood", weight=9]; 1113 -> 866[label="",style="solid", color="burlywood", weight=3]; 863[label="primPlusNat (Succ xv2000) (Succ xv4001000)",fontsize=16,color="black",shape="box"];863 -> 867[label="",style="solid", color="black", weight=3]; 864[label="primPlusNat (Succ xv2000) Zero",fontsize=16,color="black",shape="box"];864 -> 868[label="",style="solid", color="black", weight=3]; 865[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];865 -> 869[label="",style="solid", color="black", weight=3]; 866[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];866 -> 870[label="",style="solid", color="black", weight=3]; 867[label="Succ (Succ (primPlusNat xv2000 xv4001000))",fontsize=16,color="green",shape="box"];867 -> 871[label="",style="dashed", color="green", weight=3]; 868[label="Succ xv2000",fontsize=16,color="green",shape="box"];869[label="Succ xv4001000",fontsize=16,color="green",shape="box"];870[label="Zero",fontsize=16,color="green",shape="box"];871 -> 860[label="",style="dashed", color="red", weight=0]; 871[label="primPlusNat xv2000 xv4001000",fontsize=16,color="magenta"];871 -> 872[label="",style="dashed", color="magenta", weight=3]; 871 -> 873[label="",style="dashed", color="magenta", weight=3]; 872[label="xv2000",fontsize=16,color="green",shape="box"];873[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_esEs2(Right(xv30), Right(xv400), bcb, app(app(app(ty_@3, bcd), bce), bcf)) -> new_esEs0(xv30, xv400, bcd, bce, bcf) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, da), cc, cd) -> new_esEs1(xv300, xv4000, da) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(ty_Maybe, ec)), cd), hc) -> new_esEs1(xv301, xv4001, ec) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, hh), baa), bab)), hg), hc) -> new_esEs0(xv300, xv4000, hh, baa, bab) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xv300, xv4000, hh, baa, bab) new_esEs2(Right(xv30), Right(xv400), bcb, app(app(ty_Either, bch), bda)) -> new_esEs2(xv30, xv400, bch, bda) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(ty_Maybe, fd)) -> new_esEs1(xv302, xv4002, fd) new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bd)), hc) -> new_esEs1(xv300, xv4000, bd) new_esEs2(Right(xv30), Right(xv400), bcb, app(ty_Maybe, bcg)) -> new_esEs1(xv30, xv400, bcg) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(app(ty_Either, ed), ee)), cd), hc) -> new_esEs2(xv301, xv4001, ed, ee) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, bg), bh)) -> new_esEs3(xv300, xv4000, bg, bh) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(ty_Maybe, ec), cd) -> new_esEs1(xv301, xv4001, ec) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, dd), de)), cc), cd), hc) -> new_esEs3(xv300, xv4000, dd, de) new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(app(ty_@3, gc), gd), ge)), hc) -> new_esEs0(xv300, xv4000, gc, gd, ge) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bd)) -> new_esEs1(xv300, xv4000, bd) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, bac)), hg), hc) -> new_esEs1(xv300, xv4000, bac) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], h)) -> new_esEs(xv300, xv4000, h) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(ty_Maybe, fd)), hc) -> new_esEs1(xv302, xv4002, fd) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, dd), de), cc, cd) -> new_esEs3(xv300, xv4000, dd, de) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, bad), bae), hg) -> new_esEs2(xv300, xv4000, bad, bae) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, bac), hg) -> new_esEs1(xv300, xv4000, bac) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(ty_Maybe, bbe)) -> new_esEs1(xv301, xv4001, bbe) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xv301, xv4001, bbb, bbc, bbd) new_esEs2(Left(xv30), Left(xv400), app(app(ty_Either, hd), he), hc) -> new_esEs2(xv30, xv400, hd, he) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(app(app(ty_@3, bbb), bbc), bbd)), hc) -> new_esEs0(xv301, xv4001, bbb, bbc, bbd) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(app(ty_Either, ff), fg)), hc) -> new_esEs2(xv302, xv4002, ff, fg) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], cb), cc, cd) -> new_esEs(xv300, xv4000, cb) new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, ba), bb), bc)), hc) -> new_esEs0(xv300, xv4000, ba, bb, bc) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, baf), bag)), hg), hc) -> new_esEs3(xv300, xv4000, baf, bag) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(app(app(ty_@3, dh), ea), eb)), cd), hc) -> new_esEs0(xv301, xv4001, dh, ea, eb) new_esEs2(Right(xv30), Right(xv400), bcb, app(ty_[], bcc)) -> new_esEs(xv30, xv400, bcc) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(ty_[], bba)), hc) -> new_esEs(xv301, xv4001, bba) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(ty_[], eh)) -> new_esEs(xv302, xv4002, eh) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], cb)), cc), cd), hc) -> new_esEs(xv300, xv4000, cb) new_esEs2(Right(xv30), Right(xv400), bcb, app(app(ty_@2, bdb), bdc)) -> new_esEs3(xv30, xv400, bdb, bdc) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], hf), hg) -> new_esEs(xv300, xv4000, hf) new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_Maybe, gf)), hc) -> new_esEs1(xv300, xv4000, gf) new_esEs1(Just(xv300), Just(xv4000), app(ty_Maybe, gf)) -> new_esEs1(xv300, xv4000, gf) new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, bg), bh)), hc) -> new_esEs3(xv300, xv4000, bg, bh) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, ce), cf), cg)), cc), cd), hc) -> new_esEs0(xv300, xv4000, ce, cf, cg) new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_@2, ha), hb)), hc) -> new_esEs3(xv300, xv4000, ha, hb) new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_[], gb)), hc) -> new_esEs(xv300, xv4000, gb) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(app(ty_Either, ed), ee), cd) -> new_esEs2(xv301, xv4001, ed, ee) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(ty_Maybe, bbe)), hc) -> new_esEs1(xv301, xv4001, bbe) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(app(app(ty_@3, dh), ea), eb), cd) -> new_esEs0(xv301, xv4001, dh, ea, eb) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(app(ty_@2, ef), eg)), cd), hc) -> new_esEs3(xv301, xv4001, ef, eg) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(app(ty_Either, bbf), bbg)) -> new_esEs2(xv301, xv4001, bbf, bbg) new_esEs(:(xv300, xv301), :(xv4000, xv4001), ca) -> new_esEs(xv301, xv4001, ca) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, db), dc), cc, cd) -> new_esEs2(xv300, xv4000, db, dc) new_esEs1(Just(xv300), Just(xv4000), app(app(ty_Either, gg), gh)) -> new_esEs2(xv300, xv4000, gg, gh) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(app(ty_@2, bbh), bca)), hc) -> new_esEs3(xv301, xv4001, bbh, bca) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(app(ty_Either, bbf), bbg)), hc) -> new_esEs2(xv301, xv4001, bbf, bbg) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(app(ty_@2, ef), eg), cd) -> new_esEs3(xv301, xv4001, ef, eg) new_esEs1(Just(xv300), Just(xv4000), app(app(ty_@2, ha), hb)) -> new_esEs3(xv300, xv4000, ha, hb) new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_[], h)), hc) -> new_esEs(xv300, xv4000, h) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(app(ty_@2, bbh), bca)) -> new_esEs3(xv301, xv4001, bbh, bca) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(xv300, xv4000, ba, bb, bc) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs0(xv302, xv4002, fa, fb, fc) new_esEs1(Just(xv300), Just(xv4000), app(app(app(ty_@3, gc), gd), ge)) -> new_esEs0(xv300, xv4000, gc, gd, ge) new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], ca), hc) -> new_esEs(xv301, xv4001, ca) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(ty_[], eh)), hc) -> new_esEs(xv302, xv4002, eh) new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, be), bf)) -> new_esEs2(xv300, xv4000, be, bf) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(app(app(ty_@3, fa), fb), fc)), hc) -> new_esEs0(xv302, xv4002, fa, fb, fc) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(ty_[], dg), cd) -> new_esEs(xv301, xv4001, dg) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, db), dc)), cc), cd), hc) -> new_esEs2(xv300, xv4000, db, dc) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, bad), bae)), hg), hc) -> new_esEs2(xv300, xv4000, bad, bae) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, baf), bag), hg) -> new_esEs3(xv300, xv4000, baf, bag) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(ty_[], bba)) -> new_esEs(xv301, xv4001, bba) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(ty_[], dg)), cd), hc) -> new_esEs(xv301, xv4001, dg) new_esEs1(Just(xv300), Just(xv4000), app(ty_[], gb)) -> new_esEs(xv300, xv4000, gb) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(app(ty_@2, fh), ga)) -> new_esEs3(xv302, xv4002, fh, ga) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(app(ty_Either, ff), fg)) -> new_esEs2(xv302, xv4002, ff, fg) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, da)), cc), cd), hc) -> new_esEs1(xv300, xv4000, da) new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(app(ty_@2, fh), ga)), hc) -> new_esEs3(xv302, xv4002, fh, ga) new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_Either, gg), gh)), hc) -> new_esEs2(xv300, xv4000, gg, gh) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, ce), cf), cg), cc, cd) -> new_esEs0(xv300, xv4000, ce, cf, cg) new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, be), bf)), hc) -> new_esEs2(xv300, xv4000, be, bf) new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], hf)), hg), hc) -> new_esEs(xv300, xv4000, hf) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs1(Just(xv300), Just(xv4000), app(app(ty_Either, gg), gh)) -> new_esEs2(xv300, xv4000, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv300), Just(xv4000), app(app(app(ty_@3, gc), gd), ge)) -> new_esEs0(xv300, xv4000, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xv300), Just(xv4000), app(app(ty_@2, ha), hb)) -> new_esEs3(xv300, xv4000, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, be), bf)) -> new_esEs2(xv300, xv4000, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv300), Just(xv4000), app(ty_[], gb)) -> new_esEs(xv300, xv4000, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xv300), Just(xv4000), app(ty_Maybe, gf)) -> new_esEs1(xv300, xv4000, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(xv300, xv4000, ba, bb, bc) 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, bg), bh)) -> new_esEs3(xv300, xv4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bd)) -> new_esEs1(xv300, xv4000, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(app(ty_Either, ed), ee), cd) -> new_esEs2(xv301, xv4001, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, db), dc), cc, cd) -> new_esEs2(xv300, xv4000, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(app(ty_Either, ff), fg)) -> new_esEs2(xv302, xv4002, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(app(app(ty_@3, dh), ea), eb), cd) -> new_esEs0(xv301, xv4001, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs0(xv302, xv4002, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, ce), cf), cg), cc, cd) -> new_esEs0(xv300, xv4000, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, dd), de), cc, cd) -> new_esEs3(xv300, xv4000, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(app(ty_@2, ef), eg), cd) -> new_esEs3(xv301, xv4001, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(app(ty_@2, fh), ga)) -> new_esEs3(xv302, xv4002, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], cb), cc, cd) -> new_esEs(xv300, xv4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(ty_[], eh)) -> new_esEs(xv302, xv4002, eh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(ty_[], dg), cd) -> new_esEs(xv301, xv4001, dg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, da), cc, cd) -> new_esEs1(xv300, xv4000, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, cc, app(ty_Maybe, fd)) -> new_esEs1(xv302, xv4002, fd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), df, app(ty_Maybe, ec), cd) -> new_esEs1(xv301, xv4001, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(Right(xv30), Right(xv400), bcb, app(app(ty_Either, bch), bda)) -> new_esEs2(xv30, xv400, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(app(ty_Either, ed), ee)), cd), hc) -> new_esEs2(xv301, xv4001, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(xv30), Left(xv400), app(app(ty_Either, hd), he), hc) -> new_esEs2(xv30, xv400, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(app(ty_Either, ff), fg)), hc) -> new_esEs2(xv302, xv4002, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(app(ty_Either, bbf), bbg)), hc) -> new_esEs2(xv301, xv4001, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, db), dc)), cc), cd), hc) -> new_esEs2(xv300, xv4000, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, bad), bae)), hg), hc) -> new_esEs2(xv300, xv4000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_Either, gg), gh)), hc) -> new_esEs2(xv300, xv4000, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, be), bf)), hc) -> new_esEs2(xv300, xv4000, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, bad), bae), hg) -> new_esEs2(xv300, xv4000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(app(ty_Either, bbf), bbg)) -> new_esEs2(xv301, xv4001, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Right(xv30), Right(xv400), bcb, app(app(app(ty_@3, bcd), bce), bcf)) -> new_esEs0(xv30, xv400, bcd, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, hh), baa), bab)), hg), hc) -> new_esEs0(xv300, xv4000, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(app(ty_@3, gc), gd), ge)), hc) -> new_esEs0(xv300, xv4000, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(app(app(ty_@3, bbb), bbc), bbd)), hc) -> new_esEs0(xv301, xv4001, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, ba), bb), bc)), hc) -> new_esEs0(xv300, xv4000, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(app(app(ty_@3, dh), ea), eb)), cd), hc) -> new_esEs0(xv301, xv4001, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, ce), cf), cg)), cc), cd), hc) -> new_esEs0(xv300, xv4000, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(app(app(ty_@3, fa), fb), fc)), hc) -> new_esEs0(xv302, xv4002, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(xv300, xv4000, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(xv301, xv4001, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, dd), de)), cc), cd), hc) -> new_esEs3(xv300, xv4000, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, baf), bag)), hg), hc) -> new_esEs3(xv300, xv4000, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Right(xv30), Right(xv400), bcb, app(app(ty_@2, bdb), bdc)) -> new_esEs3(xv30, xv400, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, bg), bh)), hc) -> new_esEs3(xv300, xv4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_@2, ha), hb)), hc) -> new_esEs3(xv300, xv4000, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(app(ty_@2, ef), eg)), cd), hc) -> new_esEs3(xv301, xv4001, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(app(ty_@2, bbh), bca)), hc) -> new_esEs3(xv301, xv4001, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(app(ty_@2, fh), ga)), hc) -> new_esEs3(xv302, xv4002, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(app(ty_@2, bbh), bca)) -> new_esEs3(xv301, xv4001, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, baf), bag), hg) -> new_esEs3(xv300, xv4000, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Right(xv30), Right(xv400), bcb, app(ty_[], bcc)) -> new_esEs(xv30, xv400, bcc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(ty_[], bba)), hc) -> new_esEs(xv301, xv4001, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], cb)), cc), cd), hc) -> new_esEs(xv300, xv4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_[], gb)), hc) -> new_esEs(xv300, xv4000, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_[], h)), hc) -> new_esEs(xv300, xv4000, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], ca), hc) -> new_esEs(xv301, xv4001, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(ty_[], eh)), hc) -> new_esEs(xv302, xv4002, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(ty_[], dg)), cd), hc) -> new_esEs(xv301, xv4001, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], hf)), hg), hc) -> new_esEs(xv300, xv4000, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), app(ty_Maybe, ec)), cd), hc) -> new_esEs1(xv301, xv4001, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bd)), hc) -> new_esEs1(xv300, xv4000, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Right(xv30), Right(xv400), bcb, app(ty_Maybe, bcg)) -> new_esEs1(xv30, xv400, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, bac)), hg), hc) -> new_esEs1(xv300, xv4000, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, df), cc), app(ty_Maybe, fd)), hc) -> new_esEs1(xv302, xv4002, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_Maybe, gf)), hc) -> new_esEs1(xv300, xv4000, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, bah), app(ty_Maybe, bbe)), hc) -> new_esEs1(xv301, xv4001, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, da)), cc), cd), hc) -> new_esEs1(xv300, xv4000, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], hf), hg) -> new_esEs(xv300, xv4000, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(ty_[], bba)) -> new_esEs(xv301, xv4001, bba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, bac), hg) -> new_esEs1(xv300, xv4000, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), bah, app(ty_Maybe, bbe)) -> new_esEs1(xv301, xv4001, bbe) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], h)) -> new_esEs(xv300, xv4000, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), ca) -> new_esEs(xv301, xv4001, ca) 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_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(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