/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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="elem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="elem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="elem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="any . (==)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="any ((==) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7[label="or . map ((==) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 8[label="or (map ((==) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9[label="foldr (||) False (map ((==) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];903[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 10[label="",style="solid", color="burlywood", weight=3]; 904[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 11[label="",style="solid", color="burlywood", weight=3]; 10[label="foldr (||) False (map ((==) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 11[label="foldr (||) False (map ((==) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12[label="foldr (||) False (((==) xv3 xv40) : map ((==) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 13[label="foldr (||) False []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 14 -> 101[label="",style="dashed", color="red", weight=0]; 14[label="(||) (==) xv3 xv40 foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];14 -> 102[label="",style="dashed", color="magenta", weight=3]; 14 -> 103[label="",style="dashed", color="magenta", weight=3]; 15[label="False",fontsize=16,color="green",shape="box"];102 -> 9[label="",style="dashed", color="red", weight=0]; 102[label="foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];102 -> 114[label="",style="dashed", color="magenta", weight=3]; 103[label="(==) xv3 xv40",fontsize=16,color="burlywood",shape="triangle"];905[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];103 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 115[label="",style="solid", color="burlywood", weight=3]; 101[label="(||) xv18 xv19",fontsize=16,color="burlywood",shape="triangle"];906[label="xv18/False",fontsize=10,color="white",style="solid",shape="box"];101 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 116[label="",style="solid", color="burlywood", weight=3]; 907[label="xv18/True",fontsize=10,color="white",style="solid",shape="box"];101 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 117[label="",style="solid", color="burlywood", weight=3]; 114[label="xv41",fontsize=16,color="green",shape="box"];115[label="(==) (xv30,xv31) xv40",fontsize=16,color="burlywood",shape="box"];908[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];115 -> 908[label="",style="solid", color="burlywood", weight=9]; 908 -> 118[label="",style="solid", color="burlywood", weight=3]; 116[label="(||) False xv19",fontsize=16,color="black",shape="box"];116 -> 119[label="",style="solid", color="black", weight=3]; 117[label="(||) True xv19",fontsize=16,color="black",shape="box"];117 -> 120[label="",style="solid", color="black", weight=3]; 118[label="(==) (xv30,xv31) (xv400,xv401)",fontsize=16,color="black",shape="box"];118 -> 121[label="",style="solid", color="black", weight=3]; 119[label="xv19",fontsize=16,color="green",shape="box"];120[label="True",fontsize=16,color="green",shape="box"];121 -> 315[label="",style="dashed", color="red", weight=0]; 121[label="xv30 == xv400 && xv31 == xv401",fontsize=16,color="magenta"];121 -> 316[label="",style="dashed", color="magenta", weight=3]; 121 -> 317[label="",style="dashed", color="magenta", weight=3]; 316[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];909[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 320[label="",style="solid", color="blue", weight=3]; 910[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 321[label="",style="solid", color="blue", weight=3]; 911[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 322[label="",style="solid", color="blue", weight=3]; 912[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 323[label="",style="solid", color="blue", weight=3]; 913[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 324[label="",style="solid", color="blue", weight=3]; 914[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 325[label="",style="solid", color="blue", weight=3]; 915[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 326[label="",style="solid", color="blue", weight=3]; 916[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 327[label="",style="solid", color="blue", weight=3]; 917[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 328[label="",style="solid", color="blue", weight=3]; 918[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 329[label="",style="solid", color="blue", weight=3]; 919[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 330[label="",style="solid", color="blue", weight=3]; 920[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 331[label="",style="solid", color="blue", weight=3]; 921[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 332[label="",style="solid", color="blue", weight=3]; 922[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];316 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 333[label="",style="solid", color="blue", weight=3]; 317[label="xv31 == xv401",fontsize=16,color="blue",shape="box"];923[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 334[label="",style="solid", color="blue", weight=3]; 924[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 335[label="",style="solid", color="blue", weight=3]; 925[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 336[label="",style="solid", color="blue", weight=3]; 926[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 337[label="",style="solid", color="blue", weight=3]; 927[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 338[label="",style="solid", color="blue", weight=3]; 928[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 339[label="",style="solid", color="blue", weight=3]; 929[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 340[label="",style="solid", color="blue", weight=3]; 930[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 341[label="",style="solid", color="blue", weight=3]; 931[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 342[label="",style="solid", color="blue", weight=3]; 932[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 343[label="",style="solid", color="blue", weight=3]; 933[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 344[label="",style="solid", color="blue", weight=3]; 934[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 345[label="",style="solid", color="blue", weight=3]; 935[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 346[label="",style="solid", color="blue", weight=3]; 936[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];317 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 347[label="",style="solid", color="blue", weight=3]; 315[label="xv31 && xv32",fontsize=16,color="burlywood",shape="triangle"];937[label="xv31/False",fontsize=10,color="white",style="solid",shape="box"];315 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 348[label="",style="solid", color="burlywood", weight=3]; 938[label="xv31/True",fontsize=10,color="white",style="solid",shape="box"];315 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 349[label="",style="solid", color="burlywood", weight=3]; 320[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];939[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];320 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 350[label="",style="solid", color="burlywood", weight=3]; 940[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];320 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 351[label="",style="solid", color="burlywood", weight=3]; 321 -> 103[label="",style="dashed", color="red", weight=0]; 321[label="xv30 == xv400",fontsize=16,color="magenta"];321 -> 352[label="",style="dashed", color="magenta", weight=3]; 321 -> 353[label="",style="dashed", color="magenta", weight=3]; 322[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];941[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];322 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 354[label="",style="solid", color="burlywood", weight=3]; 323[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];323 -> 355[label="",style="solid", color="black", weight=3]; 324[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];324 -> 356[label="",style="solid", color="black", weight=3]; 325[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];325 -> 357[label="",style="solid", color="black", weight=3]; 326[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];942[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];326 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 358[label="",style="solid", color="burlywood", weight=3]; 327[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];943[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];327 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 359[label="",style="solid", color="burlywood", weight=3]; 944[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];327 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 360[label="",style="solid", color="burlywood", weight=3]; 328[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];945[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];328 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 361[label="",style="solid", color="burlywood", weight=3]; 946[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];328 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 362[label="",style="solid", color="burlywood", weight=3]; 329[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];947[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];329 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 363[label="",style="solid", color="burlywood", weight=3]; 330[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];948[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];330 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 364[label="",style="solid", color="burlywood", weight=3]; 331[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];949[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];331 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 365[label="",style="solid", color="burlywood", weight=3]; 950[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];331 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 366[label="",style="solid", color="burlywood", weight=3]; 332[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];951[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];332 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 367[label="",style="solid", color="burlywood", weight=3]; 952[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];332 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 368[label="",style="solid", color="burlywood", weight=3]; 953[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];332 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 369[label="",style="solid", color="burlywood", weight=3]; 333[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];333 -> 370[label="",style="solid", color="black", weight=3]; 334 -> 320[label="",style="dashed", color="red", weight=0]; 334[label="xv31 == xv401",fontsize=16,color="magenta"];334 -> 371[label="",style="dashed", color="magenta", weight=3]; 334 -> 372[label="",style="dashed", color="magenta", weight=3]; 335 -> 103[label="",style="dashed", color="red", weight=0]; 335[label="xv31 == xv401",fontsize=16,color="magenta"];335 -> 373[label="",style="dashed", color="magenta", weight=3]; 335 -> 374[label="",style="dashed", color="magenta", weight=3]; 336 -> 322[label="",style="dashed", color="red", weight=0]; 336[label="xv31 == xv401",fontsize=16,color="magenta"];336 -> 375[label="",style="dashed", color="magenta", weight=3]; 336 -> 376[label="",style="dashed", color="magenta", weight=3]; 337 -> 323[label="",style="dashed", color="red", weight=0]; 337[label="xv31 == xv401",fontsize=16,color="magenta"];337 -> 377[label="",style="dashed", color="magenta", weight=3]; 337 -> 378[label="",style="dashed", color="magenta", weight=3]; 338 -> 324[label="",style="dashed", color="red", weight=0]; 338[label="xv31 == xv401",fontsize=16,color="magenta"];338 -> 379[label="",style="dashed", color="magenta", weight=3]; 338 -> 380[label="",style="dashed", color="magenta", weight=3]; 339 -> 325[label="",style="dashed", color="red", weight=0]; 339[label="xv31 == xv401",fontsize=16,color="magenta"];339 -> 381[label="",style="dashed", color="magenta", weight=3]; 339 -> 382[label="",style="dashed", color="magenta", weight=3]; 340 -> 326[label="",style="dashed", color="red", weight=0]; 340[label="xv31 == xv401",fontsize=16,color="magenta"];340 -> 383[label="",style="dashed", color="magenta", weight=3]; 340 -> 384[label="",style="dashed", color="magenta", weight=3]; 341 -> 327[label="",style="dashed", color="red", weight=0]; 341[label="xv31 == xv401",fontsize=16,color="magenta"];341 -> 385[label="",style="dashed", color="magenta", weight=3]; 341 -> 386[label="",style="dashed", color="magenta", weight=3]; 342 -> 328[label="",style="dashed", color="red", weight=0]; 342[label="xv31 == xv401",fontsize=16,color="magenta"];342 -> 387[label="",style="dashed", color="magenta", weight=3]; 342 -> 388[label="",style="dashed", color="magenta", weight=3]; 343 -> 329[label="",style="dashed", color="red", weight=0]; 343[label="xv31 == xv401",fontsize=16,color="magenta"];343 -> 389[label="",style="dashed", color="magenta", weight=3]; 343 -> 390[label="",style="dashed", color="magenta", weight=3]; 344 -> 330[label="",style="dashed", color="red", weight=0]; 344[label="xv31 == xv401",fontsize=16,color="magenta"];344 -> 391[label="",style="dashed", color="magenta", weight=3]; 344 -> 392[label="",style="dashed", color="magenta", weight=3]; 345 -> 331[label="",style="dashed", color="red", weight=0]; 345[label="xv31 == xv401",fontsize=16,color="magenta"];345 -> 393[label="",style="dashed", color="magenta", weight=3]; 345 -> 394[label="",style="dashed", color="magenta", weight=3]; 346 -> 332[label="",style="dashed", color="red", weight=0]; 346[label="xv31 == xv401",fontsize=16,color="magenta"];346 -> 395[label="",style="dashed", color="magenta", weight=3]; 346 -> 396[label="",style="dashed", color="magenta", weight=3]; 347 -> 333[label="",style="dashed", color="red", weight=0]; 347[label="xv31 == xv401",fontsize=16,color="magenta"];347 -> 397[label="",style="dashed", color="magenta", weight=3]; 347 -> 398[label="",style="dashed", color="magenta", weight=3]; 348[label="False && xv32",fontsize=16,color="black",shape="box"];348 -> 399[label="",style="solid", color="black", weight=3]; 349[label="True && xv32",fontsize=16,color="black",shape="box"];349 -> 400[label="",style="solid", color="black", weight=3]; 350[label="False == xv400",fontsize=16,color="burlywood",shape="box"];954[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];350 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 401[label="",style="solid", color="burlywood", weight=3]; 955[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];350 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 402[label="",style="solid", color="burlywood", weight=3]; 351[label="True == xv400",fontsize=16,color="burlywood",shape="box"];956[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];351 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 403[label="",style="solid", color="burlywood", weight=3]; 957[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];351 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 404[label="",style="solid", color="burlywood", weight=3]; 352[label="xv30",fontsize=16,color="green",shape="box"];353[label="xv400",fontsize=16,color="green",shape="box"];354[label="xv300 :% xv301 == xv400",fontsize=16,color="burlywood",shape="box"];958[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];354 -> 958[label="",style="solid", color="burlywood", weight=9]; 958 -> 405[label="",style="solid", color="burlywood", weight=3]; 355[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];959[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];355 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 406[label="",style="solid", color="burlywood", weight=3]; 960[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];355 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 407[label="",style="solid", color="burlywood", weight=3]; 356[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];961[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];356 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 408[label="",style="solid", color="burlywood", weight=3]; 357[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];962[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];357 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 409[label="",style="solid", color="burlywood", weight=3]; 358[label="(xv300,xv301,xv302) == xv400",fontsize=16,color="burlywood",shape="box"];963[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];358 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 410[label="",style="solid", color="burlywood", weight=3]; 359[label="xv300 : xv301 == xv400",fontsize=16,color="burlywood",shape="box"];964[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];359 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 411[label="",style="solid", color="burlywood", weight=3]; 965[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];359 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 412[label="",style="solid", color="burlywood", weight=3]; 360[label="[] == xv400",fontsize=16,color="burlywood",shape="box"];966[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];360 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 413[label="",style="solid", color="burlywood", weight=3]; 967[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];360 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 414[label="",style="solid", color="burlywood", weight=3]; 361[label="Left xv300 == xv400",fontsize=16,color="burlywood",shape="box"];968[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];361 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 415[label="",style="solid", color="burlywood", weight=3]; 969[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];361 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 416[label="",style="solid", color="burlywood", weight=3]; 362[label="Right xv300 == xv400",fontsize=16,color="burlywood",shape="box"];970[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];362 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 417[label="",style="solid", color="burlywood", weight=3]; 971[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];362 -> 971[label="",style="solid", color="burlywood", weight=9]; 971 -> 418[label="",style="solid", color="burlywood", weight=3]; 363[label="() == xv400",fontsize=16,color="burlywood",shape="box"];972[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];363 -> 972[label="",style="solid", color="burlywood", weight=9]; 972 -> 419[label="",style="solid", color="burlywood", weight=3]; 364[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];973[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];364 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 420[label="",style="solid", color="burlywood", weight=3]; 365[label="Nothing == xv400",fontsize=16,color="burlywood",shape="box"];974[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];365 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 421[label="",style="solid", color="burlywood", weight=3]; 975[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];365 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 422[label="",style="solid", color="burlywood", weight=3]; 366[label="Just xv300 == xv400",fontsize=16,color="burlywood",shape="box"];976[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];366 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 423[label="",style="solid", color="burlywood", weight=3]; 977[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];366 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 424[label="",style="solid", color="burlywood", weight=3]; 367[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];978[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];367 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 425[label="",style="solid", color="burlywood", weight=3]; 979[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];367 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 426[label="",style="solid", color="burlywood", weight=3]; 980[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];367 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 427[label="",style="solid", color="burlywood", weight=3]; 368[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];981[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];368 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 428[label="",style="solid", color="burlywood", weight=3]; 982[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];368 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 429[label="",style="solid", color="burlywood", weight=3]; 983[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];368 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 430[label="",style="solid", color="burlywood", weight=3]; 369[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];984[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];369 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 431[label="",style="solid", color="burlywood", weight=3]; 985[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];369 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 432[label="",style="solid", color="burlywood", weight=3]; 986[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];369 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 433[label="",style="solid", color="burlywood", weight=3]; 370[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];987[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];370 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 434[label="",style="solid", color="burlywood", weight=3]; 371[label="xv401",fontsize=16,color="green",shape="box"];372[label="xv31",fontsize=16,color="green",shape="box"];373[label="xv31",fontsize=16,color="green",shape="box"];374[label="xv401",fontsize=16,color="green",shape="box"];375[label="xv401",fontsize=16,color="green",shape="box"];376[label="xv31",fontsize=16,color="green",shape="box"];377[label="xv401",fontsize=16,color="green",shape="box"];378[label="xv31",fontsize=16,color="green",shape="box"];379[label="xv401",fontsize=16,color="green",shape="box"];380[label="xv31",fontsize=16,color="green",shape="box"];381[label="xv401",fontsize=16,color="green",shape="box"];382[label="xv31",fontsize=16,color="green",shape="box"];383[label="xv401",fontsize=16,color="green",shape="box"];384[label="xv31",fontsize=16,color="green",shape="box"];385[label="xv401",fontsize=16,color="green",shape="box"];386[label="xv31",fontsize=16,color="green",shape="box"];387[label="xv401",fontsize=16,color="green",shape="box"];388[label="xv31",fontsize=16,color="green",shape="box"];389[label="xv401",fontsize=16,color="green",shape="box"];390[label="xv31",fontsize=16,color="green",shape="box"];391[label="xv401",fontsize=16,color="green",shape="box"];392[label="xv31",fontsize=16,color="green",shape="box"];393[label="xv401",fontsize=16,color="green",shape="box"];394[label="xv31",fontsize=16,color="green",shape="box"];395[label="xv401",fontsize=16,color="green",shape="box"];396[label="xv31",fontsize=16,color="green",shape="box"];397[label="xv401",fontsize=16,color="green",shape="box"];398[label="xv31",fontsize=16,color="green",shape="box"];399[label="False",fontsize=16,color="green",shape="box"];400[label="xv32",fontsize=16,color="green",shape="box"];401[label="False == False",fontsize=16,color="black",shape="box"];401 -> 435[label="",style="solid", color="black", weight=3]; 402[label="False == True",fontsize=16,color="black",shape="box"];402 -> 436[label="",style="solid", color="black", weight=3]; 403[label="True == False",fontsize=16,color="black",shape="box"];403 -> 437[label="",style="solid", color="black", weight=3]; 404[label="True == True",fontsize=16,color="black",shape="box"];404 -> 438[label="",style="solid", color="black", weight=3]; 405[label="xv300 :% xv301 == xv4000 :% xv4001",fontsize=16,color="black",shape="box"];405 -> 439[label="",style="solid", color="black", weight=3]; 406[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];988[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];406 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 440[label="",style="solid", color="burlywood", weight=3]; 989[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];406 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 441[label="",style="solid", color="burlywood", weight=3]; 407[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];990[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];407 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 442[label="",style="solid", color="burlywood", weight=3]; 991[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];407 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 443[label="",style="solid", color="burlywood", weight=3]; 408[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];992[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];408 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 444[label="",style="solid", color="burlywood", weight=3]; 409[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];993[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];409 -> 993[label="",style="solid", color="burlywood", weight=9]; 993 -> 445[label="",style="solid", color="burlywood", weight=3]; 410[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)",fontsize=16,color="black",shape="box"];410 -> 446[label="",style="solid", color="black", weight=3]; 411[label="xv300 : xv301 == xv4000 : xv4001",fontsize=16,color="black",shape="box"];411 -> 447[label="",style="solid", color="black", weight=3]; 412[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];412 -> 448[label="",style="solid", color="black", weight=3]; 413[label="[] == xv4000 : xv4001",fontsize=16,color="black",shape="box"];413 -> 449[label="",style="solid", color="black", weight=3]; 414[label="[] == []",fontsize=16,color="black",shape="box"];414 -> 450[label="",style="solid", color="black", weight=3]; 415[label="Left xv300 == Left xv4000",fontsize=16,color="black",shape="box"];415 -> 451[label="",style="solid", color="black", weight=3]; 416[label="Left xv300 == Right xv4000",fontsize=16,color="black",shape="box"];416 -> 452[label="",style="solid", color="black", weight=3]; 417[label="Right xv300 == Left xv4000",fontsize=16,color="black",shape="box"];417 -> 453[label="",style="solid", color="black", weight=3]; 418[label="Right xv300 == Right xv4000",fontsize=16,color="black",shape="box"];418 -> 454[label="",style="solid", color="black", weight=3]; 419[label="() == ()",fontsize=16,color="black",shape="box"];419 -> 455[label="",style="solid", color="black", weight=3]; 420[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];420 -> 456[label="",style="solid", color="black", weight=3]; 421[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];421 -> 457[label="",style="solid", color="black", weight=3]; 422[label="Nothing == Just xv4000",fontsize=16,color="black",shape="box"];422 -> 458[label="",style="solid", color="black", weight=3]; 423[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];423 -> 459[label="",style="solid", color="black", weight=3]; 424[label="Just xv300 == Just xv4000",fontsize=16,color="black",shape="box"];424 -> 460[label="",style="solid", color="black", weight=3]; 425[label="LT == LT",fontsize=16,color="black",shape="box"];425 -> 461[label="",style="solid", color="black", weight=3]; 426[label="LT == EQ",fontsize=16,color="black",shape="box"];426 -> 462[label="",style="solid", color="black", weight=3]; 427[label="LT == GT",fontsize=16,color="black",shape="box"];427 -> 463[label="",style="solid", color="black", weight=3]; 428[label="EQ == LT",fontsize=16,color="black",shape="box"];428 -> 464[label="",style="solid", color="black", weight=3]; 429[label="EQ == EQ",fontsize=16,color="black",shape="box"];429 -> 465[label="",style="solid", color="black", weight=3]; 430[label="EQ == GT",fontsize=16,color="black",shape="box"];430 -> 466[label="",style="solid", color="black", weight=3]; 431[label="GT == LT",fontsize=16,color="black",shape="box"];431 -> 467[label="",style="solid", color="black", weight=3]; 432[label="GT == EQ",fontsize=16,color="black",shape="box"];432 -> 468[label="",style="solid", color="black", weight=3]; 433[label="GT == GT",fontsize=16,color="black",shape="box"];433 -> 469[label="",style="solid", color="black", weight=3]; 434[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];994[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];434 -> 994[label="",style="solid", color="burlywood", weight=9]; 994 -> 470[label="",style="solid", color="burlywood", weight=3]; 435[label="True",fontsize=16,color="green",shape="box"];436[label="False",fontsize=16,color="green",shape="box"];437[label="False",fontsize=16,color="green",shape="box"];438[label="True",fontsize=16,color="green",shape="box"];439 -> 315[label="",style="dashed", color="red", weight=0]; 439[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];439 -> 471[label="",style="dashed", color="magenta", weight=3]; 439 -> 472[label="",style="dashed", color="magenta", weight=3]; 440[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];995[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];440 -> 995[label="",style="solid", color="burlywood", weight=9]; 995 -> 473[label="",style="solid", color="burlywood", weight=3]; 996[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];440 -> 996[label="",style="solid", color="burlywood", weight=9]; 996 -> 474[label="",style="solid", color="burlywood", weight=3]; 441[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];997[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];441 -> 997[label="",style="solid", color="burlywood", weight=9]; 997 -> 475[label="",style="solid", color="burlywood", weight=3]; 998[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];441 -> 998[label="",style="solid", color="burlywood", weight=9]; 998 -> 476[label="",style="solid", color="burlywood", weight=3]; 442[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];999[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];442 -> 999[label="",style="solid", color="burlywood", weight=9]; 999 -> 477[label="",style="solid", color="burlywood", weight=3]; 1000[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];442 -> 1000[label="",style="solid", color="burlywood", weight=9]; 1000 -> 478[label="",style="solid", color="burlywood", weight=3]; 443[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];1001[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];443 -> 1001[label="",style="solid", color="burlywood", weight=9]; 1001 -> 479[label="",style="solid", color="burlywood", weight=3]; 1002[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];443 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 480[label="",style="solid", color="burlywood", weight=3]; 444[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];444 -> 481[label="",style="solid", color="black", weight=3]; 445[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];445 -> 482[label="",style="solid", color="black", weight=3]; 446 -> 315[label="",style="dashed", color="red", weight=0]; 446[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];446 -> 483[label="",style="dashed", color="magenta", weight=3]; 446 -> 484[label="",style="dashed", color="magenta", weight=3]; 447 -> 315[label="",style="dashed", color="red", weight=0]; 447[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];447 -> 485[label="",style="dashed", color="magenta", weight=3]; 447 -> 486[label="",style="dashed", color="magenta", weight=3]; 448[label="False",fontsize=16,color="green",shape="box"];449[label="False",fontsize=16,color="green",shape="box"];450[label="True",fontsize=16,color="green",shape="box"];451[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1003[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 487[label="",style="solid", color="blue", weight=3]; 1004[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 488[label="",style="solid", color="blue", weight=3]; 1005[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 489[label="",style="solid", color="blue", weight=3]; 1006[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 490[label="",style="solid", color="blue", weight=3]; 1007[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 491[label="",style="solid", color="blue", weight=3]; 1008[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 492[label="",style="solid", color="blue", weight=3]; 1009[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 493[label="",style="solid", color="blue", weight=3]; 1010[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 494[label="",style="solid", color="blue", weight=3]; 1011[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 495[label="",style="solid", color="blue", weight=3]; 1012[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 496[label="",style="solid", color="blue", weight=3]; 1013[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 497[label="",style="solid", color="blue", weight=3]; 1014[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 498[label="",style="solid", color="blue", weight=3]; 1015[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 499[label="",style="solid", color="blue", weight=3]; 1016[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];451 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 500[label="",style="solid", color="blue", weight=3]; 452[label="False",fontsize=16,color="green",shape="box"];453[label="False",fontsize=16,color="green",shape="box"];454[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1017[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 501[label="",style="solid", color="blue", weight=3]; 1018[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 502[label="",style="solid", color="blue", weight=3]; 1019[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 503[label="",style="solid", color="blue", weight=3]; 1020[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 504[label="",style="solid", color="blue", weight=3]; 1021[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 505[label="",style="solid", color="blue", weight=3]; 1022[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 506[label="",style="solid", color="blue", weight=3]; 1023[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 507[label="",style="solid", color="blue", weight=3]; 1024[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 508[label="",style="solid", color="blue", weight=3]; 1025[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 509[label="",style="solid", color="blue", weight=3]; 1026[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 510[label="",style="solid", color="blue", weight=3]; 1027[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 511[label="",style="solid", color="blue", weight=3]; 1028[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 512[label="",style="solid", color="blue", weight=3]; 1029[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 513[label="",style="solid", color="blue", weight=3]; 1030[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];454 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 514[label="",style="solid", color="blue", weight=3]; 455[label="True",fontsize=16,color="green",shape="box"];456 -> 355[label="",style="dashed", color="red", weight=0]; 456[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];456 -> 515[label="",style="dashed", color="magenta", weight=3]; 456 -> 516[label="",style="dashed", color="magenta", weight=3]; 457[label="True",fontsize=16,color="green",shape="box"];458[label="False",fontsize=16,color="green",shape="box"];459[label="False",fontsize=16,color="green",shape="box"];460[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1031[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 517[label="",style="solid", color="blue", weight=3]; 1032[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 518[label="",style="solid", color="blue", weight=3]; 1033[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 519[label="",style="solid", color="blue", weight=3]; 1034[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 520[label="",style="solid", color="blue", weight=3]; 1035[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 521[label="",style="solid", color="blue", weight=3]; 1036[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 522[label="",style="solid", color="blue", weight=3]; 1037[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 523[label="",style="solid", color="blue", weight=3]; 1038[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1038[label="",style="solid", color="blue", weight=9]; 1038 -> 524[label="",style="solid", color="blue", weight=3]; 1039[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1039[label="",style="solid", color="blue", weight=9]; 1039 -> 525[label="",style="solid", color="blue", weight=3]; 1040[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1040[label="",style="solid", color="blue", weight=9]; 1040 -> 526[label="",style="solid", color="blue", weight=3]; 1041[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1041[label="",style="solid", color="blue", weight=9]; 1041 -> 527[label="",style="solid", color="blue", weight=3]; 1042[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1042[label="",style="solid", color="blue", weight=9]; 1042 -> 528[label="",style="solid", color="blue", weight=3]; 1043[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 529[label="",style="solid", color="blue", weight=3]; 1044[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];460 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 530[label="",style="solid", color="blue", weight=3]; 461[label="True",fontsize=16,color="green",shape="box"];462[label="False",fontsize=16,color="green",shape="box"];463[label="False",fontsize=16,color="green",shape="box"];464[label="False",fontsize=16,color="green",shape="box"];465[label="True",fontsize=16,color="green",shape="box"];466[label="False",fontsize=16,color="green",shape="box"];467[label="False",fontsize=16,color="green",shape="box"];468[label="False",fontsize=16,color="green",shape="box"];469[label="True",fontsize=16,color="green",shape="box"];470[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];470 -> 531[label="",style="solid", color="black", weight=3]; 471[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1045[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 532[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 -> 533[label="",style="solid", color="blue", weight=3]; 472[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1047[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 534[label="",style="solid", color="blue", weight=3]; 1048[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 535[label="",style="solid", color="blue", weight=3]; 473[label="primEqInt (Pos (Succ xv3000)) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1049[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];473 -> 1049[label="",style="solid", color="burlywood", weight=9]; 1049 -> 536[label="",style="solid", color="burlywood", weight=3]; 1050[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];473 -> 1050[label="",style="solid", color="burlywood", weight=9]; 1050 -> 537[label="",style="solid", color="burlywood", weight=3]; 474[label="primEqInt (Pos (Succ xv3000)) (Neg xv4000)",fontsize=16,color="black",shape="box"];474 -> 538[label="",style="solid", color="black", weight=3]; 475[label="primEqInt (Pos Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1051[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];475 -> 1051[label="",style="solid", color="burlywood", weight=9]; 1051 -> 539[label="",style="solid", color="burlywood", weight=3]; 1052[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];475 -> 1052[label="",style="solid", color="burlywood", weight=9]; 1052 -> 540[label="",style="solid", color="burlywood", weight=3]; 476[label="primEqInt (Pos Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1053[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];476 -> 1053[label="",style="solid", color="burlywood", weight=9]; 1053 -> 541[label="",style="solid", color="burlywood", weight=3]; 1054[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];476 -> 1054[label="",style="solid", color="burlywood", weight=9]; 1054 -> 542[label="",style="solid", color="burlywood", weight=3]; 477[label="primEqInt (Neg (Succ xv3000)) (Pos xv4000)",fontsize=16,color="black",shape="box"];477 -> 543[label="",style="solid", color="black", weight=3]; 478[label="primEqInt (Neg (Succ xv3000)) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1055[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];478 -> 1055[label="",style="solid", color="burlywood", weight=9]; 1055 -> 544[label="",style="solid", color="burlywood", weight=3]; 1056[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];478 -> 1056[label="",style="solid", color="burlywood", weight=9]; 1056 -> 545[label="",style="solid", color="burlywood", weight=3]; 479[label="primEqInt (Neg Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1057[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];479 -> 1057[label="",style="solid", color="burlywood", weight=9]; 1057 -> 546[label="",style="solid", color="burlywood", weight=3]; 1058[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];479 -> 1058[label="",style="solid", color="burlywood", weight=9]; 1058 -> 547[label="",style="solid", color="burlywood", weight=3]; 480[label="primEqInt (Neg Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1059[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];480 -> 1059[label="",style="solid", color="burlywood", weight=9]; 1059 -> 548[label="",style="solid", color="burlywood", weight=3]; 1060[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];480 -> 1060[label="",style="solid", color="burlywood", weight=9]; 1060 -> 549[label="",style="solid", color="burlywood", weight=3]; 481 -> 323[label="",style="dashed", color="red", weight=0]; 481[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];481 -> 550[label="",style="dashed", color="magenta", weight=3]; 481 -> 551[label="",style="dashed", color="magenta", weight=3]; 482 -> 323[label="",style="dashed", color="red", weight=0]; 482[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];482 -> 552[label="",style="dashed", color="magenta", weight=3]; 482 -> 553[label="",style="dashed", color="magenta", weight=3]; 483[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1061[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1061[label="",style="solid", color="blue", weight=9]; 1061 -> 554[label="",style="solid", color="blue", weight=3]; 1062[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1062[label="",style="solid", color="blue", weight=9]; 1062 -> 555[label="",style="solid", color="blue", weight=3]; 1063[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1063[label="",style="solid", color="blue", weight=9]; 1063 -> 556[label="",style="solid", color="blue", weight=3]; 1064[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1064[label="",style="solid", color="blue", weight=9]; 1064 -> 557[label="",style="solid", color="blue", weight=3]; 1065[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1065[label="",style="solid", color="blue", weight=9]; 1065 -> 558[label="",style="solid", color="blue", weight=3]; 1066[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 559[label="",style="solid", color="blue", weight=3]; 1067[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 560[label="",style="solid", color="blue", weight=3]; 1068[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 561[label="",style="solid", color="blue", weight=3]; 1069[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 562[label="",style="solid", color="blue", weight=3]; 1070[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 563[label="",style="solid", color="blue", weight=3]; 1071[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 564[label="",style="solid", color="blue", weight=3]; 1072[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 565[label="",style="solid", color="blue", weight=3]; 1073[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 566[label="",style="solid", color="blue", weight=3]; 1074[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];483 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 567[label="",style="solid", color="blue", weight=3]; 484 -> 315[label="",style="dashed", color="red", weight=0]; 484[label="xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];484 -> 568[label="",style="dashed", color="magenta", weight=3]; 484 -> 569[label="",style="dashed", color="magenta", weight=3]; 485[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];1075[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 570[label="",style="solid", color="blue", weight=3]; 1076[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 571[label="",style="solid", color="blue", weight=3]; 1077[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 572[label="",style="solid", color="blue", weight=3]; 1078[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 573[label="",style="solid", color="blue", weight=3]; 1079[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 574[label="",style="solid", color="blue", weight=3]; 1080[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1080[label="",style="solid", color="blue", weight=9]; 1080 -> 575[label="",style="solid", color="blue", weight=3]; 1081[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1081[label="",style="solid", color="blue", weight=9]; 1081 -> 576[label="",style="solid", color="blue", weight=3]; 1082[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1082[label="",style="solid", color="blue", weight=9]; 1082 -> 577[label="",style="solid", color="blue", weight=3]; 1083[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1083[label="",style="solid", color="blue", weight=9]; 1083 -> 578[label="",style="solid", color="blue", weight=3]; 1084[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1084[label="",style="solid", color="blue", weight=9]; 1084 -> 579[label="",style="solid", color="blue", weight=3]; 1085[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1085[label="",style="solid", color="blue", weight=9]; 1085 -> 580[label="",style="solid", color="blue", weight=3]; 1086[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1086[label="",style="solid", color="blue", weight=9]; 1086 -> 581[label="",style="solid", color="blue", weight=3]; 1087[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1087[label="",style="solid", color="blue", weight=9]; 1087 -> 582[label="",style="solid", color="blue", weight=3]; 1088[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1088[label="",style="solid", color="blue", weight=9]; 1088 -> 583[label="",style="solid", color="blue", weight=3]; 486 -> 327[label="",style="dashed", color="red", weight=0]; 486[label="xv301 == xv4001",fontsize=16,color="magenta"];486 -> 584[label="",style="dashed", color="magenta", weight=3]; 486 -> 585[label="",style="dashed", color="magenta", weight=3]; 487 -> 320[label="",style="dashed", color="red", weight=0]; 487[label="xv300 == xv4000",fontsize=16,color="magenta"];487 -> 586[label="",style="dashed", color="magenta", weight=3]; 487 -> 587[label="",style="dashed", color="magenta", weight=3]; 488 -> 103[label="",style="dashed", color="red", weight=0]; 488[label="xv300 == xv4000",fontsize=16,color="magenta"];488 -> 588[label="",style="dashed", color="magenta", weight=3]; 488 -> 589[label="",style="dashed", color="magenta", weight=3]; 489 -> 322[label="",style="dashed", color="red", weight=0]; 489[label="xv300 == xv4000",fontsize=16,color="magenta"];489 -> 590[label="",style="dashed", color="magenta", weight=3]; 489 -> 591[label="",style="dashed", color="magenta", weight=3]; 490 -> 323[label="",style="dashed", color="red", weight=0]; 490[label="xv300 == xv4000",fontsize=16,color="magenta"];490 -> 592[label="",style="dashed", color="magenta", weight=3]; 490 -> 593[label="",style="dashed", color="magenta", weight=3]; 491 -> 324[label="",style="dashed", color="red", weight=0]; 491[label="xv300 == xv4000",fontsize=16,color="magenta"];491 -> 594[label="",style="dashed", color="magenta", weight=3]; 491 -> 595[label="",style="dashed", color="magenta", weight=3]; 492 -> 325[label="",style="dashed", color="red", weight=0]; 492[label="xv300 == xv4000",fontsize=16,color="magenta"];492 -> 596[label="",style="dashed", color="magenta", weight=3]; 492 -> 597[label="",style="dashed", color="magenta", weight=3]; 493 -> 326[label="",style="dashed", color="red", weight=0]; 493[label="xv300 == xv4000",fontsize=16,color="magenta"];493 -> 598[label="",style="dashed", color="magenta", weight=3]; 493 -> 599[label="",style="dashed", color="magenta", weight=3]; 494 -> 327[label="",style="dashed", color="red", weight=0]; 494[label="xv300 == xv4000",fontsize=16,color="magenta"];494 -> 600[label="",style="dashed", color="magenta", weight=3]; 494 -> 601[label="",style="dashed", color="magenta", weight=3]; 495 -> 328[label="",style="dashed", color="red", weight=0]; 495[label="xv300 == xv4000",fontsize=16,color="magenta"];495 -> 602[label="",style="dashed", color="magenta", weight=3]; 495 -> 603[label="",style="dashed", color="magenta", weight=3]; 496 -> 329[label="",style="dashed", color="red", weight=0]; 496[label="xv300 == 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329[label="",style="dashed", color="red", weight=0]; 526[label="xv300 == xv4000",fontsize=16,color="magenta"];526 -> 660[label="",style="dashed", color="magenta", weight=3]; 526 -> 661[label="",style="dashed", color="magenta", weight=3]; 527 -> 330[label="",style="dashed", color="red", weight=0]; 527[label="xv300 == xv4000",fontsize=16,color="magenta"];527 -> 662[label="",style="dashed", color="magenta", weight=3]; 527 -> 663[label="",style="dashed", color="magenta", weight=3]; 528 -> 331[label="",style="dashed", color="red", weight=0]; 528[label="xv300 == xv4000",fontsize=16,color="magenta"];528 -> 664[label="",style="dashed", color="magenta", weight=3]; 528 -> 665[label="",style="dashed", color="magenta", weight=3]; 529 -> 332[label="",style="dashed", color="red", weight=0]; 529[label="xv300 == xv4000",fontsize=16,color="magenta"];529 -> 666[label="",style="dashed", color="magenta", weight=3]; 529 -> 667[label="",style="dashed", color="magenta", weight=3]; 530 -> 333[label="",style="dashed", color="red", weight=0]; 530[label="xv300 == xv4000",fontsize=16,color="magenta"];530 -> 668[label="",style="dashed", color="magenta", weight=3]; 530 -> 669[label="",style="dashed", color="magenta", weight=3]; 531[label="primEqNat xv300 xv4000",fontsize=16,color="burlywood",shape="triangle"];1089[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];531 -> 1089[label="",style="solid", color="burlywood", weight=9]; 1089 -> 670[label="",style="solid", color="burlywood", weight=3]; 1090[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];531 -> 1090[label="",style="solid", color="burlywood", weight=9]; 1090 -> 671[label="",style="solid", color="burlywood", weight=3]; 532 -> 323[label="",style="dashed", color="red", weight=0]; 532[label="xv300 == xv4000",fontsize=16,color="magenta"];532 -> 672[label="",style="dashed", color="magenta", weight=3]; 532 -> 673[label="",style="dashed", color="magenta", weight=3]; 533 -> 330[label="",style="dashed", color="red", weight=0]; 533[label="xv300 == xv4000",fontsize=16,color="magenta"];533 -> 674[label="",style="dashed", color="magenta", weight=3]; 533 -> 675[label="",style="dashed", color="magenta", weight=3]; 534 -> 323[label="",style="dashed", color="red", weight=0]; 534[label="xv301 == xv4001",fontsize=16,color="magenta"];534 -> 676[label="",style="dashed", color="magenta", weight=3]; 534 -> 677[label="",style="dashed", color="magenta", weight=3]; 535 -> 330[label="",style="dashed", color="red", weight=0]; 535[label="xv301 == xv4001",fontsize=16,color="magenta"];535 -> 678[label="",style="dashed", color="magenta", weight=3]; 535 -> 679[label="",style="dashed", color="magenta", weight=3]; 536[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];536 -> 680[label="",style="solid", color="black", weight=3]; 537[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];537 -> 681[label="",style="solid", color="black", weight=3]; 538[label="False",fontsize=16,color="green",shape="box"];539[label="primEqInt (Pos Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];539 -> 682[label="",style="solid", color="black", weight=3]; 540[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];540 -> 683[label="",style="solid", color="black", weight=3]; 541[label="primEqInt (Pos Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];541 -> 684[label="",style="solid", color="black", weight=3]; 542[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];542 -> 685[label="",style="solid", color="black", weight=3]; 543[label="False",fontsize=16,color="green",shape="box"];544[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];544 -> 686[label="",style="solid", color="black", weight=3]; 545[label="primEqInt (Neg (Succ xv3000)) (Neg 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710[label="",style="dashed", color="magenta", weight=3]; 560 -> 326[label="",style="dashed", color="red", weight=0]; 560[label="xv300 == xv4000",fontsize=16,color="magenta"];560 -> 711[label="",style="dashed", color="magenta", weight=3]; 560 -> 712[label="",style="dashed", color="magenta", weight=3]; 561 -> 327[label="",style="dashed", color="red", weight=0]; 561[label="xv300 == xv4000",fontsize=16,color="magenta"];561 -> 713[label="",style="dashed", color="magenta", weight=3]; 561 -> 714[label="",style="dashed", color="magenta", weight=3]; 562 -> 328[label="",style="dashed", color="red", weight=0]; 562[label="xv300 == xv4000",fontsize=16,color="magenta"];562 -> 715[label="",style="dashed", color="magenta", weight=3]; 562 -> 716[label="",style="dashed", color="magenta", weight=3]; 563 -> 329[label="",style="dashed", color="red", weight=0]; 563[label="xv300 == xv4000",fontsize=16,color="magenta"];563 -> 717[label="",style="dashed", color="magenta", weight=3]; 563 -> 718[label="",style="dashed", color="magenta", weight=3]; 564 -> 330[label="",style="dashed", color="red", weight=0]; 564[label="xv300 == xv4000",fontsize=16,color="magenta"];564 -> 719[label="",style="dashed", color="magenta", weight=3]; 564 -> 720[label="",style="dashed", color="magenta", weight=3]; 565 -> 331[label="",style="dashed", color="red", weight=0]; 565[label="xv300 == xv4000",fontsize=16,color="magenta"];565 -> 721[label="",style="dashed", color="magenta", weight=3]; 565 -> 722[label="",style="dashed", color="magenta", weight=3]; 566 -> 332[label="",style="dashed", color="red", weight=0]; 566[label="xv300 == xv4000",fontsize=16,color="magenta"];566 -> 723[label="",style="dashed", color="magenta", weight=3]; 566 -> 724[label="",style="dashed", color="magenta", weight=3]; 567 -> 333[label="",style="dashed", color="red", weight=0]; 567[label="xv300 == xv4000",fontsize=16,color="magenta"];567 -> 725[label="",style="dashed", color="magenta", weight=3]; 567 -> 726[label="",style="dashed", color="magenta", weight=3]; 568[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];1091[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1091[label="",style="solid", color="blue", weight=9]; 1091 -> 727[label="",style="solid", color="blue", weight=3]; 1092[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 728[label="",style="solid", color="blue", weight=3]; 1093[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 729[label="",style="solid", color="blue", weight=3]; 1094[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1094[label="",style="solid", color="blue", weight=9]; 1094 -> 730[label="",style="solid", color="blue", weight=3]; 1095[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1095[label="",style="solid", color="blue", weight=9]; 1095 -> 731[label="",style="solid", color="blue", weight=3]; 1096[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1096[label="",style="solid", color="blue", weight=9]; 1096 -> 732[label="",style="solid", color="blue", weight=3]; 1097[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 733[label="",style="solid", color="blue", weight=3]; 1098[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 734[label="",style="solid", color="blue", weight=3]; 1099[label="== :: (Either a b) -> (Either a b) -> 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1103 -> 739[label="",style="solid", color="blue", weight=3]; 1104[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];568 -> 1104[label="",style="solid", color="blue", weight=9]; 1104 -> 740[label="",style="solid", color="blue", weight=3]; 569[label="xv302 == xv4002",fontsize=16,color="blue",shape="box"];1105[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1105[label="",style="solid", color="blue", weight=9]; 1105 -> 741[label="",style="solid", color="blue", weight=3]; 1106[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1106[label="",style="solid", color="blue", weight=9]; 1106 -> 742[label="",style="solid", color="blue", weight=3]; 1107[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1107[label="",style="solid", color="blue", weight=9]; 1107 -> 743[label="",style="solid", color="blue", weight=3]; 1108[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1108[label="",style="solid", color="blue", weight=9]; 1108 -> 744[label="",style="solid", color="blue", weight=3]; 1109[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1109[label="",style="solid", color="blue", weight=9]; 1109 -> 745[label="",style="solid", color="blue", weight=3]; 1110[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1110[label="",style="solid", color="blue", weight=9]; 1110 -> 746[label="",style="solid", color="blue", weight=3]; 1111[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1111[label="",style="solid", color="blue", weight=9]; 1111 -> 747[label="",style="solid", color="blue", weight=3]; 1112[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1112[label="",style="solid", color="blue", weight=9]; 1112 -> 748[label="",style="solid", color="blue", weight=3]; 1113[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1113[label="",style="solid", color="blue", weight=9]; 1113 -> 749[label="",style="solid", color="blue", weight=3]; 1114[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1114[label="",style="solid", color="blue", weight=9]; 1114 -> 750[label="",style="solid", color="blue", weight=3]; 1115[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1115[label="",style="solid", color="blue", weight=9]; 1115 -> 751[label="",style="solid", color="blue", weight=3]; 1116[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1116[label="",style="solid", color="blue", weight=9]; 1116 -> 752[label="",style="solid", color="blue", weight=3]; 1117[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1117[label="",style="solid", color="blue", weight=9]; 1117 -> 753[label="",style="solid", color="blue", weight=3]; 1118[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];569 -> 1118[label="",style="solid", color="blue", weight=9]; 1118 -> 754[label="",style="solid", color="blue", weight=3]; 570 -> 320[label="",style="dashed", color="red", weight=0]; 570[label="xv300 == xv4000",fontsize=16,color="magenta"];570 -> 755[label="",style="dashed", color="magenta", weight=3]; 570 -> 756[label="",style="dashed", color="magenta", weight=3]; 571 -> 103[label="",style="dashed", color="red", weight=0]; 571[label="xv300 == xv4000",fontsize=16,color="magenta"];571 -> 757[label="",style="dashed", color="magenta", weight=3]; 571 -> 758[label="",style="dashed", color="magenta", weight=3]; 572 -> 322[label="",style="dashed", color="red", weight=0]; 572[label="xv300 == xv4000",fontsize=16,color="magenta"];572 -> 759[label="",style="dashed", color="magenta", weight=3]; 572 -> 760[label="",style="dashed", color="magenta", weight=3]; 573 -> 323[label="",style="dashed", color="red", weight=0]; 573[label="xv300 == xv4000",fontsize=16,color="magenta"];573 -> 761[label="",style="dashed", color="magenta", weight=3]; 573 -> 762[label="",style="dashed", color="magenta", weight=3]; 574 -> 324[label="",style="dashed", color="red", weight=0]; 574[label="xv300 == xv4000",fontsize=16,color="magenta"];574 -> 763[label="",style="dashed", color="magenta", weight=3]; 574 -> 764[label="",style="dashed", color="magenta", weight=3]; 575 -> 325[label="",style="dashed", color="red", weight=0]; 575[label="xv300 == xv4000",fontsize=16,color="magenta"];575 -> 765[label="",style="dashed", color="magenta", weight=3]; 575 -> 766[label="",style="dashed", color="magenta", weight=3]; 576 -> 326[label="",style="dashed", color="red", weight=0]; 576[label="xv300 == xv4000",fontsize=16,color="magenta"];576 -> 767[label="",style="dashed", color="magenta", weight=3]; 576 -> 768[label="",style="dashed", color="magenta", weight=3]; 577 -> 327[label="",style="dashed", color="red", weight=0]; 577[label="xv300 == xv4000",fontsize=16,color="magenta"];577 -> 769[label="",style="dashed", color="magenta", weight=3]; 577 -> 770[label="",style="dashed", color="magenta", weight=3]; 578 -> 328[label="",style="dashed", color="red", weight=0]; 578[label="xv300 == xv4000",fontsize=16,color="magenta"];578 -> 771[label="",style="dashed", color="magenta", weight=3]; 578 -> 772[label="",style="dashed", color="magenta", weight=3]; 579 -> 329[label="",style="dashed", color="red", weight=0]; 579[label="xv300 == xv4000",fontsize=16,color="magenta"];579 -> 773[label="",style="dashed", color="magenta", weight=3]; 579 -> 774[label="",style="dashed", color="magenta", weight=3]; 580 -> 330[label="",style="dashed", color="red", weight=0]; 580[label="xv300 == xv4000",fontsize=16,color="magenta"];580 -> 775[label="",style="dashed", color="magenta", weight=3]; 580 -> 776[label="",style="dashed", color="magenta", weight=3]; 581 -> 331[label="",style="dashed", color="red", weight=0]; 581[label="xv300 == xv4000",fontsize=16,color="magenta"];581 -> 777[label="",style="dashed", color="magenta", weight=3]; 581 -> 778[label="",style="dashed", color="magenta", weight=3]; 582 -> 332[label="",style="dashed", color="red", weight=0]; 582[label="xv300 == xv4000",fontsize=16,color="magenta"];582 -> 779[label="",style="dashed", color="magenta", weight=3]; 582 -> 780[label="",style="dashed", color="magenta", weight=3]; 583 -> 333[label="",style="dashed", color="red", weight=0]; 583[label="xv300 == xv4000",fontsize=16,color="magenta"];583 -> 781[label="",style="dashed", color="magenta", weight=3]; 583 -> 782[label="",style="dashed", color="magenta", weight=3]; 584[label="xv4001",fontsize=16,color="green",shape="box"];585[label="xv301",fontsize=16,color="green",shape="box"];586[label="xv4000",fontsize=16,color="green",shape="box"];587[label="xv300",fontsize=16,color="green",shape="box"];588[label="xv300",fontsize=16,color="green",shape="box"];589[label="xv4000",fontsize=16,color="green",shape="box"];590[label="xv4000",fontsize=16,color="green",shape="box"];591[label="xv300",fontsize=16,color="green",shape="box"];592[label="xv4000",fontsize=16,color="green",shape="box"];593[label="xv300",fontsize=16,color="green",shape="box"];594[label="xv4000",fontsize=16,color="green",shape="box"];595[label="xv300",fontsize=16,color="green",shape="box"];596[label="xv4000",fontsize=16,color="green",shape="box"];597[label="xv300",fontsize=16,color="green",shape="box"];598[label="xv4000",fontsize=16,color="green",shape="box"];599[label="xv300",fontsize=16,color="green",shape="box"];600[label="xv4000",fontsize=16,color="green",shape="box"];601[label="xv300",fontsize=16,color="green",shape="box"];602[label="xv4000",fontsize=16,color="green",shape="box"];603[label="xv300",fontsize=16,color="green",shape="box"];604[label="xv4000",fontsize=16,color="green",shape="box"];605[label="xv300",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="xv4000",fontsize=16,color="green",shape="box"];609[label="xv300",fontsize=16,color="green",shape="box"];610[label="xv4000",fontsize=16,color="green",shape="box"];611[label="xv300",fontsize=16,color="green",shape="box"];612[label="xv4000",fontsize=16,color="green",shape="box"];613[label="xv300",fontsize=16,color="green",shape="box"];614[label="xv4000",fontsize=16,color="green",shape="box"];615[label="xv300",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="xv4000",fontsize=16,color="green",shape="box"];619[label="xv300",fontsize=16,color="green",shape="box"];620[label="xv4000",fontsize=16,color="green",shape="box"];621[label="xv300",fontsize=16,color="green",shape="box"];622[label="xv4000",fontsize=16,color="green",shape="box"];623[label="xv300",fontsize=16,color="green",shape="box"];624[label="xv4000",fontsize=16,color="green",shape="box"];625[label="xv300",fontsize=16,color="green",shape="box"];626[label="xv4000",fontsize=16,color="green",shape="box"];627[label="xv300",fontsize=16,color="green",shape="box"];628[label="xv4000",fontsize=16,color="green",shape="box"];629[label="xv300",fontsize=16,color="green",shape="box"];630[label="xv4000",fontsize=16,color="green",shape="box"];631[label="xv300",fontsize=16,color="green",shape="box"];632[label="xv4000",fontsize=16,color="green",shape="box"];633[label="xv300",fontsize=16,color="green",shape="box"];634[label="xv4000",fontsize=16,color="green",shape="box"];635[label="xv300",fontsize=16,color="green",shape="box"];636[label="xv4000",fontsize=16,color="green",shape="box"];637[label="xv300",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="xv4000",fontsize=16,color="green",shape="box"];641[label="xv300",fontsize=16,color="green",shape="box"];642[label="xv4000",fontsize=16,color="green",shape="box"];643[label="xv300",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="xv4000",fontsize=16,color="green",shape="box"];647[label="xv300",fontsize=16,color="green",shape="box"];648[label="xv4000",fontsize=16,color="green",shape="box"];649[label="xv300",fontsize=16,color="green",shape="box"];650[label="xv4000",fontsize=16,color="green",shape="box"];651[label="xv300",fontsize=16,color="green",shape="box"];652[label="xv4000",fontsize=16,color="green",shape="box"];653[label="xv300",fontsize=16,color="green",shape="box"];654[label="xv4000",fontsize=16,color="green",shape="box"];655[label="xv300",fontsize=16,color="green",shape="box"];656[label="xv4000",fontsize=16,color="green",shape="box"];657[label="xv300",fontsize=16,color="green",shape="box"];658[label="xv4000",fontsize=16,color="green",shape="box"];659[label="xv300",fontsize=16,color="green",shape="box"];660[label="xv4000",fontsize=16,color="green",shape="box"];661[label="xv300",fontsize=16,color="green",shape="box"];662[label="xv4000",fontsize=16,color="green",shape="box"];663[label="xv300",fontsize=16,color="green",shape="box"];664[label="xv4000",fontsize=16,color="green",shape="box"];665[label="xv300",fontsize=16,color="green",shape="box"];666[label="xv4000",fontsize=16,color="green",shape="box"];667[label="xv300",fontsize=16,color="green",shape="box"];668[label="xv4000",fontsize=16,color="green",shape="box"];669[label="xv300",fontsize=16,color="green",shape="box"];670[label="primEqNat (Succ xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];1119[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];670 -> 1119[label="",style="solid", color="burlywood", weight=9]; 1119 -> 783[label="",style="solid", color="burlywood", weight=3]; 1120[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];670 -> 1120[label="",style="solid", color="burlywood", weight=9]; 1120 -> 784[label="",style="solid", color="burlywood", weight=3]; 671[label="primEqNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1121[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];671 -> 1121[label="",style="solid", color="burlywood", weight=9]; 1121 -> 785[label="",style="solid", color="burlywood", weight=3]; 1122[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];671 -> 1122[label="",style="solid", color="burlywood", weight=9]; 1122 -> 786[label="",style="solid", color="burlywood", weight=3]; 672[label="xv4000",fontsize=16,color="green",shape="box"];673[label="xv300",fontsize=16,color="green",shape="box"];674[label="xv4000",fontsize=16,color="green",shape="box"];675[label="xv300",fontsize=16,color="green",shape="box"];676[label="xv4001",fontsize=16,color="green",shape="box"];677[label="xv301",fontsize=16,color="green",shape="box"];678[label="xv4001",fontsize=16,color="green",shape="box"];679[label="xv301",fontsize=16,color="green",shape="box"];680 -> 531[label="",style="dashed", color="red", weight=0]; 680[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];680 -> 787[label="",style="dashed", color="magenta", weight=3]; 680 -> 788[label="",style="dashed", color="magenta", weight=3]; 681[label="False",fontsize=16,color="green",shape="box"];682[label="False",fontsize=16,color="green",shape="box"];683[label="True",fontsize=16,color="green",shape="box"];684[label="False",fontsize=16,color="green",shape="box"];685[label="True",fontsize=16,color="green",shape="box"];686 -> 531[label="",style="dashed", color="red", weight=0]; 686[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];686 -> 789[label="",style="dashed", color="magenta", weight=3]; 686 -> 790[label="",style="dashed", color="magenta", weight=3]; 687[label="False",fontsize=16,color="green",shape="box"];688[label="False",fontsize=16,color="green",shape="box"];689[label="True",fontsize=16,color="green",shape="box"];690[label="False",fontsize=16,color="green",shape="box"];691[label="True",fontsize=16,color="green",shape="box"];692[label="primMulInt xv301 xv4000",fontsize=16,color="burlywood",shape="box"];1123[label="xv301/Pos xv3010",fontsize=10,color="white",style="solid",shape="box"];692 -> 1123[label="",style="solid", color="burlywood", weight=9]; 1123 -> 791[label="",style="solid", color="burlywood", weight=3]; 1124[label="xv301/Neg xv3010",fontsize=10,color="white",style="solid",shape="box"];692 -> 1124[label="",style="solid", color="burlywood", weight=9]; 1124 -> 792[label="",style="solid", color="burlywood", weight=3]; 693[label="xv4001",fontsize=16,color="green",shape="box"];694[label="xv300",fontsize=16,color="green",shape="box"];695[label="xv4000",fontsize=16,color="green",shape="box"];696[label="xv301",fontsize=16,color="green",shape="box"];697[label="xv4001",fontsize=16,color="green",shape="box"];698[label="xv300",fontsize=16,color="green",shape="box"];699[label="xv4000",fontsize=16,color="green",shape="box"];700[label="xv300",fontsize=16,color="green",shape="box"];701[label="xv300",fontsize=16,color="green",shape="box"];702[label="xv4000",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="xv300",fontsize=16,color="green",shape="box"];719[label="xv4000",fontsize=16,color="green",shape="box"];720[label="xv300",fontsize=16,color="green",shape="box"];721[label="xv4000",fontsize=16,color="green",shape="box"];722[label="xv300",fontsize=16,color="green",shape="box"];723[label="xv4000",fontsize=16,color="green",shape="box"];724[label="xv300",fontsize=16,color="green",shape="box"];725[label="xv4000",fontsize=16,color="green",shape="box"];726[label="xv300",fontsize=16,color="green",shape="box"];727 -> 320[label="",style="dashed", color="red", weight=0]; 727[label="xv301 == xv4001",fontsize=16,color="magenta"];727 -> 793[label="",style="dashed", color="magenta", weight=3]; 727 -> 794[label="",style="dashed", color="magenta", weight=3]; 728 -> 103[label="",style="dashed", color="red", weight=0]; 728[label="xv301 == xv4001",fontsize=16,color="magenta"];728 -> 795[label="",style="dashed", color="magenta", weight=3]; 728 -> 796[label="",style="dashed", color="magenta", weight=3]; 729 -> 322[label="",style="dashed", color="red", weight=0]; 729[label="xv301 == xv4001",fontsize=16,color="magenta"];729 -> 797[label="",style="dashed", color="magenta", weight=3]; 729 -> 798[label="",style="dashed", color="magenta", weight=3]; 730 -> 323[label="",style="dashed", color="red", weight=0]; 730[label="xv301 == xv4001",fontsize=16,color="magenta"];730 -> 799[label="",style="dashed", color="magenta", weight=3]; 730 -> 800[label="",style="dashed", color="magenta", weight=3]; 731 -> 324[label="",style="dashed", color="red", weight=0]; 731[label="xv301 == xv4001",fontsize=16,color="magenta"];731 -> 801[label="",style="dashed", color="magenta", weight=3]; 731 -> 802[label="",style="dashed", color="magenta", weight=3]; 732 -> 325[label="",style="dashed", color="red", weight=0]; 732[label="xv301 == xv4001",fontsize=16,color="magenta"];732 -> 803[label="",style="dashed", color="magenta", weight=3]; 732 -> 804[label="",style="dashed", color="magenta", weight=3]; 733 -> 326[label="",style="dashed", color="red", weight=0]; 733[label="xv301 == xv4001",fontsize=16,color="magenta"];733 -> 805[label="",style="dashed", color="magenta", weight=3]; 733 -> 806[label="",style="dashed", color="magenta", weight=3]; 734 -> 327[label="",style="dashed", color="red", weight=0]; 734[label="xv301 == xv4001",fontsize=16,color="magenta"];734 -> 807[label="",style="dashed", color="magenta", weight=3]; 734 -> 808[label="",style="dashed", color="magenta", weight=3]; 735 -> 328[label="",style="dashed", color="red", weight=0]; 735[label="xv301 == xv4001",fontsize=16,color="magenta"];735 -> 809[label="",style="dashed", color="magenta", weight=3]; 735 -> 810[label="",style="dashed", color="magenta", weight=3]; 736 -> 329[label="",style="dashed", color="red", weight=0]; 736[label="xv301 == xv4001",fontsize=16,color="magenta"];736 -> 811[label="",style="dashed", color="magenta", weight=3]; 736 -> 812[label="",style="dashed", color="magenta", weight=3]; 737 -> 330[label="",style="dashed", color="red", weight=0]; 737[label="xv301 == xv4001",fontsize=16,color="magenta"];737 -> 813[label="",style="dashed", color="magenta", weight=3]; 737 -> 814[label="",style="dashed", color="magenta", weight=3]; 738 -> 331[label="",style="dashed", color="red", weight=0]; 738[label="xv301 == xv4001",fontsize=16,color="magenta"];738 -> 815[label="",style="dashed", color="magenta", weight=3]; 738 -> 816[label="",style="dashed", color="magenta", weight=3]; 739 -> 332[label="",style="dashed", color="red", weight=0]; 739[label="xv301 == xv4001",fontsize=16,color="magenta"];739 -> 817[label="",style="dashed", color="magenta", weight=3]; 739 -> 818[label="",style="dashed", color="magenta", weight=3]; 740 -> 333[label="",style="dashed", color="red", weight=0]; 740[label="xv301 == xv4001",fontsize=16,color="magenta"];740 -> 819[label="",style="dashed", color="magenta", weight=3]; 740 -> 820[label="",style="dashed", color="magenta", weight=3]; 741 -> 320[label="",style="dashed", color="red", weight=0]; 741[label="xv302 == xv4002",fontsize=16,color="magenta"];741 -> 821[label="",style="dashed", color="magenta", weight=3]; 741 -> 822[label="",style="dashed", color="magenta", weight=3]; 742 -> 103[label="",style="dashed", color="red", weight=0]; 742[label="xv302 == xv4002",fontsize=16,color="magenta"];742 -> 823[label="",style="dashed", color="magenta", weight=3]; 742 -> 824[label="",style="dashed", color="magenta", weight=3]; 743 -> 322[label="",style="dashed", color="red", weight=0]; 743[label="xv302 == xv4002",fontsize=16,color="magenta"];743 -> 825[label="",style="dashed", color="magenta", weight=3]; 743 -> 826[label="",style="dashed", color="magenta", weight=3]; 744 -> 323[label="",style="dashed", color="red", weight=0]; 744[label="xv302 == xv4002",fontsize=16,color="magenta"];744 -> 827[label="",style="dashed", color="magenta", weight=3]; 744 -> 828[label="",style="dashed", color="magenta", weight=3]; 745 -> 324[label="",style="dashed", color="red", weight=0]; 745[label="xv302 == xv4002",fontsize=16,color="magenta"];745 -> 829[label="",style="dashed", color="magenta", weight=3]; 745 -> 830[label="",style="dashed", color="magenta", weight=3]; 746 -> 325[label="",style="dashed", color="red", weight=0]; 746[label="xv302 == xv4002",fontsize=16,color="magenta"];746 -> 831[label="",style="dashed", color="magenta", weight=3]; 746 -> 832[label="",style="dashed", color="magenta", weight=3]; 747 -> 326[label="",style="dashed", color="red", weight=0]; 747[label="xv302 == xv4002",fontsize=16,color="magenta"];747 -> 833[label="",style="dashed", color="magenta", weight=3]; 747 -> 834[label="",style="dashed", color="magenta", weight=3]; 748 -> 327[label="",style="dashed", color="red", weight=0]; 748[label="xv302 == xv4002",fontsize=16,color="magenta"];748 -> 835[label="",style="dashed", color="magenta", weight=3]; 748 -> 836[label="",style="dashed", color="magenta", weight=3]; 749 -> 328[label="",style="dashed", color="red", weight=0]; 749[label="xv302 == xv4002",fontsize=16,color="magenta"];749 -> 837[label="",style="dashed", color="magenta", weight=3]; 749 -> 838[label="",style="dashed", color="magenta", weight=3]; 750 -> 329[label="",style="dashed", color="red", weight=0]; 750[label="xv302 == xv4002",fontsize=16,color="magenta"];750 -> 839[label="",style="dashed", color="magenta", weight=3]; 750 -> 840[label="",style="dashed", color="magenta", weight=3]; 751 -> 330[label="",style="dashed", color="red", weight=0]; 751[label="xv302 == xv4002",fontsize=16,color="magenta"];751 -> 841[label="",style="dashed", color="magenta", weight=3]; 751 -> 842[label="",style="dashed", color="magenta", weight=3]; 752 -> 331[label="",style="dashed", color="red", weight=0]; 752[label="xv302 == xv4002",fontsize=16,color="magenta"];752 -> 843[label="",style="dashed", color="magenta", weight=3]; 752 -> 844[label="",style="dashed", color="magenta", weight=3]; 753 -> 332[label="",style="dashed", color="red", weight=0]; 753[label="xv302 == xv4002",fontsize=16,color="magenta"];753 -> 845[label="",style="dashed", color="magenta", weight=3]; 753 -> 846[label="",style="dashed", color="magenta", weight=3]; 754 -> 333[label="",style="dashed", color="red", weight=0]; 754[label="xv302 == xv4002",fontsize=16,color="magenta"];754 -> 847[label="",style="dashed", color="magenta", weight=3]; 754 -> 848[label="",style="dashed", color="magenta", weight=3]; 755[label="xv4000",fontsize=16,color="green",shape="box"];756[label="xv300",fontsize=16,color="green",shape="box"];757[label="xv300",fontsize=16,color="green",shape="box"];758[label="xv4000",fontsize=16,color="green",shape="box"];759[label="xv4000",fontsize=16,color="green",shape="box"];760[label="xv300",fontsize=16,color="green",shape="box"];761[label="xv4000",fontsize=16,color="green",shape="box"];762[label="xv300",fontsize=16,color="green",shape="box"];763[label="xv4000",fontsize=16,color="green",shape="box"];764[label="xv300",fontsize=16,color="green",shape="box"];765[label="xv4000",fontsize=16,color="green",shape="box"];766[label="xv300",fontsize=16,color="green",shape="box"];767[label="xv4000",fontsize=16,color="green",shape="box"];768[label="xv300",fontsize=16,color="green",shape="box"];769[label="xv4000",fontsize=16,color="green",shape="box"];770[label="xv300",fontsize=16,color="green",shape="box"];771[label="xv4000",fontsize=16,color="green",shape="box"];772[label="xv300",fontsize=16,color="green",shape="box"];773[label="xv4000",fontsize=16,color="green",shape="box"];774[label="xv300",fontsize=16,color="green",shape="box"];775[label="xv4000",fontsize=16,color="green",shape="box"];776[label="xv300",fontsize=16,color="green",shape="box"];777[label="xv4000",fontsize=16,color="green",shape="box"];778[label="xv300",fontsize=16,color="green",shape="box"];779[label="xv4000",fontsize=16,color="green",shape="box"];780[label="xv300",fontsize=16,color="green",shape="box"];781[label="xv4000",fontsize=16,color="green",shape="box"];782[label="xv300",fontsize=16,color="green",shape="box"];783[label="primEqNat (Succ xv3000) (Succ xv40000)",fontsize=16,color="black",shape="box"];783 -> 849[label="",style="solid", color="black", weight=3]; 784[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];784 -> 850[label="",style="solid", color="black", weight=3]; 785[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];785 -> 851[label="",style="solid", color="black", weight=3]; 786[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];786 -> 852[label="",style="solid", color="black", weight=3]; 787[label="xv40000",fontsize=16,color="green",shape="box"];788[label="xv3000",fontsize=16,color="green",shape="box"];789[label="xv40000",fontsize=16,color="green",shape="box"];790[label="xv3000",fontsize=16,color="green",shape="box"];791[label="primMulInt (Pos xv3010) xv4000",fontsize=16,color="burlywood",shape="box"];1125[label="xv4000/Pos xv40000",fontsize=10,color="white",style="solid",shape="box"];791 -> 1125[label="",style="solid", color="burlywood", weight=9]; 1125 -> 853[label="",style="solid", color="burlywood", weight=3]; 1126[label="xv4000/Neg xv40000",fontsize=10,color="white",style="solid",shape="box"];791 -> 1126[label="",style="solid", color="burlywood", weight=9]; 1126 -> 854[label="",style="solid", color="burlywood", weight=3]; 792[label="primMulInt (Neg xv3010) xv4000",fontsize=16,color="burlywood",shape="box"];1127[label="xv4000/Pos xv40000",fontsize=10,color="white",style="solid",shape="box"];792 -> 1127[label="",style="solid", color="burlywood", weight=9]; 1127 -> 855[label="",style="solid", color="burlywood", weight=3]; 1128[label="xv4000/Neg xv40000",fontsize=10,color="white",style="solid",shape="box"];792 -> 1128[label="",style="solid", color="burlywood", weight=9]; 1128 -> 856[label="",style="solid", color="burlywood", weight=3]; 793[label="xv4001",fontsize=16,color="green",shape="box"];794[label="xv301",fontsize=16,color="green",shape="box"];795[label="xv301",fontsize=16,color="green",shape="box"];796[label="xv4001",fontsize=16,color="green",shape="box"];797[label="xv4001",fontsize=16,color="green",shape="box"];798[label="xv301",fontsize=16,color="green",shape="box"];799[label="xv4001",fontsize=16,color="green",shape="box"];800[label="xv301",fontsize=16,color="green",shape="box"];801[label="xv4001",fontsize=16,color="green",shape="box"];802[label="xv301",fontsize=16,color="green",shape="box"];803[label="xv4001",fontsize=16,color="green",shape="box"];804[label="xv301",fontsize=16,color="green",shape="box"];805[label="xv4001",fontsize=16,color="green",shape="box"];806[label="xv301",fontsize=16,color="green",shape="box"];807[label="xv4001",fontsize=16,color="green",shape="box"];808[label="xv301",fontsize=16,color="green",shape="box"];809[label="xv4001",fontsize=16,color="green",shape="box"];810[label="xv301",fontsize=16,color="green",shape="box"];811[label="xv4001",fontsize=16,color="green",shape="box"];812[label="xv301",fontsize=16,color="green",shape="box"];813[label="xv4001",fontsize=16,color="green",shape="box"];814[label="xv301",fontsize=16,color="green",shape="box"];815[label="xv4001",fontsize=16,color="green",shape="box"];816[label="xv301",fontsize=16,color="green",shape="box"];817[label="xv4001",fontsize=16,color="green",shape="box"];818[label="xv301",fontsize=16,color="green",shape="box"];819[label="xv4001",fontsize=16,color="green",shape="box"];820[label="xv301",fontsize=16,color="green",shape="box"];821[label="xv4002",fontsize=16,color="green",shape="box"];822[label="xv302",fontsize=16,color="green",shape="box"];823[label="xv302",fontsize=16,color="green",shape="box"];824[label="xv4002",fontsize=16,color="green",shape="box"];825[label="xv4002",fontsize=16,color="green",shape="box"];826[label="xv302",fontsize=16,color="green",shape="box"];827[label="xv4002",fontsize=16,color="green",shape="box"];828[label="xv302",fontsize=16,color="green",shape="box"];829[label="xv4002",fontsize=16,color="green",shape="box"];830[label="xv302",fontsize=16,color="green",shape="box"];831[label="xv4002",fontsize=16,color="green",shape="box"];832[label="xv302",fontsize=16,color="green",shape="box"];833[label="xv4002",fontsize=16,color="green",shape="box"];834[label="xv302",fontsize=16,color="green",shape="box"];835[label="xv4002",fontsize=16,color="green",shape="box"];836[label="xv302",fontsize=16,color="green",shape="box"];837[label="xv4002",fontsize=16,color="green",shape="box"];838[label="xv302",fontsize=16,color="green",shape="box"];839[label="xv4002",fontsize=16,color="green",shape="box"];840[label="xv302",fontsize=16,color="green",shape="box"];841[label="xv4002",fontsize=16,color="green",shape="box"];842[label="xv302",fontsize=16,color="green",shape="box"];843[label="xv4002",fontsize=16,color="green",shape="box"];844[label="xv302",fontsize=16,color="green",shape="box"];845[label="xv4002",fontsize=16,color="green",shape="box"];846[label="xv302",fontsize=16,color="green",shape="box"];847[label="xv4002",fontsize=16,color="green",shape="box"];848[label="xv302",fontsize=16,color="green",shape="box"];849 -> 531[label="",style="dashed", color="red", weight=0]; 849[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];849 -> 857[label="",style="dashed", color="magenta", weight=3]; 849 -> 858[label="",style="dashed", color="magenta", weight=3]; 850[label="False",fontsize=16,color="green",shape="box"];851[label="False",fontsize=16,color="green",shape="box"];852[label="True",fontsize=16,color="green",shape="box"];853[label="primMulInt (Pos xv3010) (Pos xv40000)",fontsize=16,color="black",shape="box"];853 -> 859[label="",style="solid", color="black", weight=3]; 854[label="primMulInt (Pos xv3010) (Neg xv40000)",fontsize=16,color="black",shape="box"];854 -> 860[label="",style="solid", color="black", weight=3]; 855[label="primMulInt (Neg xv3010) (Pos xv40000)",fontsize=16,color="black",shape="box"];855 -> 861[label="",style="solid", color="black", weight=3]; 856[label="primMulInt (Neg xv3010) (Neg xv40000)",fontsize=16,color="black",shape="box"];856 -> 862[label="",style="solid", color="black", weight=3]; 857[label="xv40000",fontsize=16,color="green",shape="box"];858[label="xv3000",fontsize=16,color="green",shape="box"];859[label="Pos (primMulNat xv3010 xv40000)",fontsize=16,color="green",shape="box"];859 -> 863[label="",style="dashed", color="green", weight=3]; 860[label="Neg (primMulNat xv3010 xv40000)",fontsize=16,color="green",shape="box"];860 -> 864[label="",style="dashed", color="green", weight=3]; 861[label="Neg (primMulNat xv3010 xv40000)",fontsize=16,color="green",shape="box"];861 -> 865[label="",style="dashed", color="green", weight=3]; 862[label="Pos (primMulNat xv3010 xv40000)",fontsize=16,color="green",shape="box"];862 -> 866[label="",style="dashed", color="green", weight=3]; 863[label="primMulNat xv3010 xv40000",fontsize=16,color="burlywood",shape="triangle"];1129[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];863 -> 1129[label="",style="solid", color="burlywood", weight=9]; 1129 -> 867[label="",style="solid", color="burlywood", weight=3]; 1130[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];863 -> 1130[label="",style="solid", color="burlywood", weight=9]; 1130 -> 868[label="",style="solid", color="burlywood", weight=3]; 864 -> 863[label="",style="dashed", color="red", weight=0]; 864[label="primMulNat xv3010 xv40000",fontsize=16,color="magenta"];864 -> 869[label="",style="dashed", color="magenta", weight=3]; 865 -> 863[label="",style="dashed", color="red", weight=0]; 865[label="primMulNat xv3010 xv40000",fontsize=16,color="magenta"];865 -> 870[label="",style="dashed", color="magenta", weight=3]; 866 -> 863[label="",style="dashed", color="red", weight=0]; 866[label="primMulNat xv3010 xv40000",fontsize=16,color="magenta"];866 -> 871[label="",style="dashed", color="magenta", weight=3]; 866 -> 872[label="",style="dashed", color="magenta", weight=3]; 867[label="primMulNat (Succ xv30100) xv40000",fontsize=16,color="burlywood",shape="box"];1131[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];867 -> 1131[label="",style="solid", color="burlywood", weight=9]; 1131 -> 873[label="",style="solid", color="burlywood", weight=3]; 1132[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];867 -> 1132[label="",style="solid", color="burlywood", weight=9]; 1132 -> 874[label="",style="solid", color="burlywood", weight=3]; 868[label="primMulNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];1133[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];868 -> 1133[label="",style="solid", color="burlywood", weight=9]; 1133 -> 875[label="",style="solid", color="burlywood", weight=3]; 1134[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];868 -> 1134[label="",style="solid", color="burlywood", weight=9]; 1134 -> 876[label="",style="solid", color="burlywood", weight=3]; 869[label="xv40000",fontsize=16,color="green",shape="box"];870[label="xv3010",fontsize=16,color="green",shape="box"];871[label="xv3010",fontsize=16,color="green",shape="box"];872[label="xv40000",fontsize=16,color="green",shape="box"];873[label="primMulNat (Succ xv30100) (Succ xv400000)",fontsize=16,color="black",shape="box"];873 -> 877[label="",style="solid", color="black", weight=3]; 874[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];874 -> 878[label="",style="solid", color="black", weight=3]; 875[label="primMulNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];875 -> 879[label="",style="solid", color="black", weight=3]; 876[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];876 -> 880[label="",style="solid", color="black", weight=3]; 877 -> 881[label="",style="dashed", color="red", weight=0]; 877[label="primPlusNat (primMulNat xv30100 (Succ xv400000)) (Succ xv400000)",fontsize=16,color="magenta"];877 -> 882[label="",style="dashed", color="magenta", weight=3]; 878[label="Zero",fontsize=16,color="green",shape="box"];879[label="Zero",fontsize=16,color="green",shape="box"];880[label="Zero",fontsize=16,color="green",shape="box"];882 -> 863[label="",style="dashed", color="red", weight=0]; 882[label="primMulNat xv30100 (Succ xv400000)",fontsize=16,color="magenta"];882 -> 883[label="",style="dashed", color="magenta", weight=3]; 882 -> 884[label="",style="dashed", color="magenta", weight=3]; 881[label="primPlusNat xv33 (Succ xv400000)",fontsize=16,color="burlywood",shape="triangle"];1135[label="xv33/Succ xv330",fontsize=10,color="white",style="solid",shape="box"];881 -> 1135[label="",style="solid", color="burlywood", weight=9]; 1135 -> 885[label="",style="solid", color="burlywood", weight=3]; 1136[label="xv33/Zero",fontsize=10,color="white",style="solid",shape="box"];881 -> 1136[label="",style="solid", color="burlywood", weight=9]; 1136 -> 886[label="",style="solid", color="burlywood", weight=3]; 883[label="xv30100",fontsize=16,color="green",shape="box"];884[label="Succ xv400000",fontsize=16,color="green",shape="box"];885[label="primPlusNat (Succ xv330) (Succ xv400000)",fontsize=16,color="black",shape="box"];885 -> 887[label="",style="solid", color="black", weight=3]; 886[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];886 -> 888[label="",style="solid", color="black", weight=3]; 887[label="Succ (Succ (primPlusNat xv330 xv400000))",fontsize=16,color="green",shape="box"];887 -> 889[label="",style="dashed", color="green", weight=3]; 888[label="Succ xv400000",fontsize=16,color="green",shape="box"];889[label="primPlusNat xv330 xv400000",fontsize=16,color="burlywood",shape="triangle"];1137[label="xv330/Succ xv3300",fontsize=10,color="white",style="solid",shape="box"];889 -> 1137[label="",style="solid", color="burlywood", weight=9]; 1137 -> 890[label="",style="solid", color="burlywood", weight=3]; 1138[label="xv330/Zero",fontsize=10,color="white",style="solid",shape="box"];889 -> 1138[label="",style="solid", color="burlywood", weight=9]; 1138 -> 891[label="",style="solid", color="burlywood", weight=3]; 890[label="primPlusNat (Succ xv3300) xv400000",fontsize=16,color="burlywood",shape="box"];1139[label="xv400000/Succ xv4000000",fontsize=10,color="white",style="solid",shape="box"];890 -> 1139[label="",style="solid", color="burlywood", weight=9]; 1139 -> 892[label="",style="solid", color="burlywood", weight=3]; 1140[label="xv400000/Zero",fontsize=10,color="white",style="solid",shape="box"];890 -> 1140[label="",style="solid", color="burlywood", weight=9]; 1140 -> 893[label="",style="solid", color="burlywood", weight=3]; 891[label="primPlusNat Zero xv400000",fontsize=16,color="burlywood",shape="box"];1141[label="xv400000/Succ xv4000000",fontsize=10,color="white",style="solid",shape="box"];891 -> 1141[label="",style="solid", color="burlywood", weight=9]; 1141 -> 894[label="",style="solid", color="burlywood", weight=3]; 1142[label="xv400000/Zero",fontsize=10,color="white",style="solid",shape="box"];891 -> 1142[label="",style="solid", color="burlywood", weight=9]; 1142 -> 895[label="",style="solid", color="burlywood", weight=3]; 892[label="primPlusNat (Succ xv3300) (Succ xv4000000)",fontsize=16,color="black",shape="box"];892 -> 896[label="",style="solid", color="black", weight=3]; 893[label="primPlusNat (Succ xv3300) Zero",fontsize=16,color="black",shape="box"];893 -> 897[label="",style="solid", color="black", weight=3]; 894[label="primPlusNat Zero (Succ xv4000000)",fontsize=16,color="black",shape="box"];894 -> 898[label="",style="solid", color="black", weight=3]; 895[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];895 -> 899[label="",style="solid", color="black", weight=3]; 896[label="Succ (Succ (primPlusNat xv3300 xv4000000))",fontsize=16,color="green",shape="box"];896 -> 900[label="",style="dashed", color="green", weight=3]; 897[label="Succ xv3300",fontsize=16,color="green",shape="box"];898[label="Succ xv4000000",fontsize=16,color="green",shape="box"];899[label="Zero",fontsize=16,color="green",shape="box"];900 -> 889[label="",style="dashed", color="red", weight=0]; 900[label="primPlusNat xv3300 xv4000000",fontsize=16,color="magenta"];900 -> 901[label="",style="dashed", color="magenta", weight=3]; 900 -> 902[label="",style="dashed", color="magenta", weight=3]; 901[label="xv4000000",fontsize=16,color="green",shape="box"];902[label="xv3300",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(ty_[], bch)) -> new_esEs1(xv31, xv401, bch) new_esEs2(Right(xv300), Right(xv4000), hg, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs0(xv300, xv4000, bab, bac, bad) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(ty_Maybe, dh)), bf), bb) -> new_esEs3(xv301, xv4001, dh) new_esEs2(Left(xv300), Left(xv4000), app(ty_Maybe, hf), gg) -> new_esEs3(xv300, xv4000, hf) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, gc)) -> new_esEs3(xv300, xv4000, gc) new_esEs3(Just(xv300), Just(xv4000), app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs0(xv300, xv4000, bbc, bbd, bbe) new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_@2, ge), gf)), gg), bb) -> new_esEs(xv300, xv4000, ge, gf) new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_[], hc)), gg), bb) -> new_esEs1(xv300, xv4000, hc) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(ty_Maybe, dh), bf) -> new_esEs3(xv301, xv4001, dh) new_esEs2(Right(xv300), Right(xv4000), hg, app(app(ty_Either, baf), bag)) -> new_esEs2(xv300, xv4000, baf, bag) new_esEs(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, h), ba), bb) -> new_esEs(xv30, xv400, h, ba) new_esEs3(Just(xv300), Just(xv4000), app(app(ty_Either, bbg), bbh)) -> new_esEs2(xv300, xv4000, bbg, bbh) new_esEs2(Left(xv300), Left(xv4000), app(ty_[], hc), gg) -> new_esEs1(xv300, xv4000, hc) new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(ty_[], bae)), bb) -> new_esEs1(xv300, xv4000, bae) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(ty_Maybe, fa)) -> new_esEs3(xv302, xv4002, fa) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_@2, bc), bd)), be), bf), bb) -> new_esEs(xv300, xv4000, bc, bd) new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_[], bbf)), bb) -> new_esEs1(xv300, xv4000, bbf) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(app(app(ty_@3, ec), ed), ee)), bb) -> new_esEs0(xv302, xv4002, ec, ed, ee) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, ga), gb)) -> new_esEs2(xv300, xv4000, ga, gb) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(app(ty_Either, eg), eh)), bb) -> new_esEs2(xv302, xv4002, eg, eh) new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(app(ty_@2, hh), baa)), bb) -> new_esEs(xv300, xv4000, hh, baa) new_esEs2(Right(xv300), Right(xv4000), hg, app(app(ty_@2, hh), baa)) -> new_esEs(xv300, xv4000, hh, baa) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, ce), be, bf) -> new_esEs3(xv300, xv4000, ce) new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(ty_Maybe, bdc)) -> new_esEs3(xv31, xv401, bdc) new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(app(ty_@3, gh), ha), hb)), gg), bb) -> new_esEs0(xv300, xv4000, gh, ha, hb) new_esEs2(Left(xv300), Left(xv4000), app(app(ty_Either, hd), he), gg) -> new_esEs2(xv300, xv4000, hd, he) new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_Maybe, bca)), bb) -> new_esEs3(xv300, xv4000, bca) new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_Either, ga), gb)), bb) -> new_esEs2(xv300, xv4000, ga, gb) new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], gd), bb) -> new_esEs1(xv301, xv4001, gd) new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(app(ty_@3, bbc), bbd), bbe)), bb) -> new_esEs0(xv300, xv4000, bbc, bbd, bbe) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(app(ty_@2, cg), da)), bf), bb) -> new_esEs(xv301, xv4001, cg, da) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(app(ty_@2, cg), da), bf) -> new_esEs(xv301, xv4001, cg, da) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(ty_[], de), bf) -> new_esEs1(xv301, xv4001, de) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(ty_Maybe, fa)), bb) -> new_esEs3(xv302, xv4002, fa) new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(app(app(ty_@3, bab), bac), bad)), bb) -> new_esEs0(xv300, xv4000, bab, bac, bad) new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_Either, hd), he)), gg), bb) -> new_esEs2(xv300, xv4000, hd, he) new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_Maybe, gc)), bb) -> new_esEs3(xv300, xv4000, gc) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(app(ty_Either, df), dg), bf) -> new_esEs2(xv301, xv4001, df, dg) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(app(app(ty_@3, db), dc), dd)), bf), bb) -> new_esEs0(xv301, xv4001, db, dc, dd) new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(app(ty_Either, baf), bag)), bb) -> new_esEs2(xv300, xv4000, baf, bag) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(app(ty_@2, ea), eb)), bb) -> new_esEs(xv302, xv4002, ea, eb) new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_Maybe, hf)), gg), bb) -> new_esEs3(xv300, xv4000, hf) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(app(app(ty_@3, db), dc), dd), bf) -> new_esEs0(xv301, xv4001, db, dc, dd) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(ty_[], de)), bf), bb) -> new_esEs1(xv301, xv4001, de) new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs0(xv31, xv401, bce, bcf, bcg) new_esEs2(Left(xv300), Left(xv4000), app(app(ty_@2, ge), gf), gg) -> new_esEs(xv300, xv4000, ge, gf) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, cc), cd), be, bf) -> new_esEs2(xv300, xv4000, cc, cd) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_Maybe, ce)), be), bf), bb) -> new_esEs3(xv300, xv4000, ce) new_esEs3(Just(xv300), Just(xv4000), app(ty_Maybe, bca)) -> new_esEs3(xv300, xv4000, bca) new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(ty_Maybe, bah)), bb) -> new_esEs3(xv300, xv4000, bah) new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_@2, bba), bbb)), bb) -> new_esEs(xv300, xv4000, bba, bbb) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, bc), bd), be, bf) -> new_esEs(xv300, xv4000, bc, bd) new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_@2, fb), fc)), bb) -> new_esEs(xv300, xv4000, fb, fc) new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(app(ty_@3, fd), ff), fg)), bb) -> new_esEs0(xv300, xv4000, fd, ff, fg) new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(app(ty_Either, bda), bdb)) -> new_esEs2(xv31, xv401, bda, bdb) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(app(ty_Either, df), dg)), bf), bb) -> new_esEs2(xv301, xv4001, df, dg) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs0(xv302, xv4002, ec, ed, ee) new_esEs3(Just(xv300), Just(xv4000), app(ty_[], bbf)) -> new_esEs1(xv300, xv4000, bbf) new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(app(ty_@2, bcc), bcd)) -> new_esEs(xv31, xv401, bcc, bcd) new_esEs2(Right(xv300), Right(xv4000), hg, app(ty_[], bae)) -> new_esEs1(xv300, xv4000, bae) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_[], cb)), be), bf), bb) -> new_esEs1(xv300, xv4000, cb) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_Either, cc), cd)), be), bf), bb) -> new_esEs2(xv300, xv4000, cc, cd) new_esEs2(Right(xv300), Right(xv4000), hg, app(ty_Maybe, bah)) -> new_esEs3(xv300, xv4000, bah) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs0(xv300, xv4000, fd, ff, fg) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), gd) -> new_esEs1(xv301, xv4001, gd) new_esEs3(Just(xv300), Just(xv4000), app(app(ty_@2, bba), bbb)) -> new_esEs(xv300, xv4000, bba, bbb) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, fb), fc)) -> new_esEs(xv300, xv4000, fb, fc) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(app(ty_@3, bg), bh), ca)), be), bf), bb) -> new_esEs0(xv300, xv4000, bg, bh, ca) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], fh)) -> new_esEs1(xv300, xv4000, fh) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(app(ty_Either, eg), eh)) -> new_esEs2(xv302, xv4002, eg, eh) new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(ty_[], ef)), bb) -> new_esEs1(xv302, xv4002, ef) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], cb), be, bf) -> new_esEs1(xv300, xv4000, cb) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(app(ty_@2, ea), eb)) -> new_esEs(xv302, xv4002, ea, eb) new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_Either, bbg), bbh)), bb) -> new_esEs2(xv300, xv4000, bbg, bbh) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bg), bh), ca), be, bf) -> new_esEs0(xv300, xv4000, bg, bh, ca) new_esEs2(Left(xv300), Left(xv4000), app(app(app(ty_@3, gh), ha), hb), gg) -> new_esEs0(xv300, xv4000, gh, ha, hb) new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_[], fh)), bb) -> new_esEs1(xv300, xv4000, fh) new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(ty_[], ef)) -> new_esEs1(xv302, xv4002, ef) 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_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, fb), fc)) -> new_esEs(xv300, xv4000, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, ga), gb)) -> new_esEs2(xv300, xv4000, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv300), Just(xv4000), app(app(ty_@2, bba), bbb)) -> new_esEs(xv300, xv4000, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv300), Just(xv4000), app(app(ty_Either, bbg), bbh)) -> new_esEs2(xv300, xv4000, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv300), Just(xv4000), app(ty_[], bbf)) -> new_esEs1(xv300, xv4000, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, gc)) -> new_esEs3(xv300, xv4000, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs0(xv300, xv4000, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(xv300), Just(xv4000), app(ty_Maybe, bca)) -> new_esEs3(xv300, xv4000, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv300), Just(xv4000), app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs0(xv300, xv4000, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), gd) -> new_esEs1(xv301, xv4001, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], fh)) -> new_esEs1(xv300, xv4000, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(app(ty_@2, cg), da), bf) -> new_esEs(xv301, xv4001, cg, da) 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_@2, bc), bd), be, bf) -> new_esEs(xv300, xv4000, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(app(ty_@2, ea), eb)) -> new_esEs(xv302, xv4002, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_@2, ge), gf)), gg), bb) -> new_esEs(xv300, xv4000, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, h), ba), bb) -> new_esEs(xv30, xv400, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_@2, bc), bd)), be), bf), bb) -> new_esEs(xv300, xv4000, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(app(ty_@2, hh), baa)), bb) -> new_esEs(xv300, xv4000, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(app(ty_@2, cg), da)), bf), bb) -> new_esEs(xv301, xv4001, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(app(ty_@2, ea), eb)), bb) -> new_esEs(xv302, xv4002, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_@2, bba), bbb)), bb) -> new_esEs(xv300, xv4000, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_@2, fb), fc)), bb) -> new_esEs(xv300, xv4000, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(app(ty_@2, bcc), bcd)) -> new_esEs(xv31, xv401, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Right(xv300), Right(xv4000), hg, app(app(ty_@2, hh), baa)) -> new_esEs(xv300, xv4000, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Left(xv300), Left(xv4000), app(app(ty_@2, ge), gf), gg) -> new_esEs(xv300, xv4000, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(app(ty_Either, df), dg), bf) -> new_esEs2(xv301, xv4001, df, dg) 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, cc), cd), be, bf) -> new_esEs2(xv300, xv4000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(app(ty_Either, eg), eh)) -> new_esEs2(xv302, xv4002, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(ty_[], de), bf) -> new_esEs1(xv301, xv4001, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], cb), be, bf) -> new_esEs1(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), cf, be, app(ty_[], ef)) -> new_esEs1(xv302, xv4002, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(ty_Maybe, dh), bf) -> new_esEs3(xv301, xv4001, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, be, app(ty_Maybe, fa)) -> new_esEs3(xv302, xv4002, fa) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, ce), be, bf) -> new_esEs3(xv300, xv4000, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), cf, app(app(app(ty_@3, db), dc), dd), bf) -> new_esEs0(xv301, xv4001, db, dc, dd) 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), cf, be, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs0(xv302, xv4002, ec, ed, ee) 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, bg), bh), ca), be, bf) -> new_esEs0(xv300, xv4000, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(app(ty_Either, eg), eh)), bb) -> new_esEs2(xv302, xv4002, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_Either, ga), gb)), bb) -> new_esEs2(xv300, xv4000, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_Either, hd), he)), gg), bb) -> new_esEs2(xv300, xv4000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(app(ty_Either, baf), bag)), bb) -> new_esEs2(xv300, xv4000, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(app(ty_Either, bda), bdb)) -> new_esEs2(xv31, xv401, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(app(ty_Either, df), dg)), bf), bb) -> new_esEs2(xv301, xv4001, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_Either, cc), cd)), be), bf), bb) -> new_esEs2(xv300, xv4000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_Either, bbg), bbh)), bb) -> new_esEs2(xv300, xv4000, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Right(xv300), Right(xv4000), hg, app(app(ty_Either, baf), bag)) -> new_esEs2(xv300, xv4000, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Left(xv300), Left(xv4000), app(app(ty_Either, hd), he), gg) -> new_esEs2(xv300, xv4000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(ty_[], bch)) -> new_esEs1(xv31, xv401, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_[], hc)), gg), bb) -> new_esEs1(xv300, xv4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(ty_[], bae)), bb) -> new_esEs1(xv300, xv4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_[], bbf)), bb) -> new_esEs1(xv300, xv4000, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], gd), bb) -> new_esEs1(xv301, xv4001, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(ty_[], de)), bf), bb) -> new_esEs1(xv301, xv4001, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_[], cb)), be), bf), bb) -> new_esEs1(xv300, xv4000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(ty_[], ef)), bb) -> new_esEs1(xv302, xv4002, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_[], fh)), bb) -> new_esEs1(xv300, xv4000, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(xv300), Left(xv4000), app(ty_[], hc), gg) -> new_esEs1(xv300, xv4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Right(xv300), Right(xv4000), hg, app(ty_[], bae)) -> new_esEs1(xv300, xv4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(ty_Maybe, dh)), bf), bb) -> new_esEs3(xv301, xv4001, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(ty_Maybe, bdc)) -> new_esEs3(xv31, xv401, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_Maybe, bca)), bb) -> new_esEs3(xv300, xv4000, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(ty_Maybe, fa)), bb) -> new_esEs3(xv302, xv4002, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_Maybe, gc)), bb) -> new_esEs3(xv300, xv4000, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_Maybe, hf)), gg), bb) -> new_esEs3(xv300, xv4000, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_Maybe, ce)), be), bf), bb) -> new_esEs3(xv300, xv4000, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(ty_Maybe, bah)), bb) -> new_esEs3(xv300, xv4000, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(xv300), Left(xv4000), app(ty_Maybe, hf), gg) -> new_esEs3(xv300, xv4000, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Right(xv300), Right(xv4000), hg, app(ty_Maybe, bah)) -> new_esEs3(xv300, xv4000, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), be), app(app(app(ty_@3, ec), ed), ee)), bb) -> new_esEs0(xv302, xv4002, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(app(ty_@3, gh), ha), hb)), gg), bb) -> new_esEs0(xv300, xv4000, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(app(ty_@3, bbc), bbd), bbe)), bb) -> new_esEs0(xv300, xv4000, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, hg), app(app(app(ty_@3, bab), bac), bad)), bb) -> new_esEs0(xv300, xv4000, bab, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, cf), app(app(app(ty_@3, db), dc), dd)), bf), bb) -> new_esEs0(xv301, xv4001, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcb, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs0(xv31, xv401, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(app(ty_@3, fd), ff), fg)), bb) -> new_esEs0(xv300, xv4000, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(app(ty_@3, bg), bh), ca)), be), bf), bb) -> new_esEs0(xv300, xv4000, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Right(xv300), Right(xv4000), hg, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs0(xv300, xv4000, bab, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(Left(xv300), Left(xv4000), app(app(app(ty_@3, gh), ha), hb), gg) -> new_esEs0(xv300, xv4000, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv30100), Succ(xv400000)) -> new_primMulNat(xv30100, Succ(xv400000)) 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(xv30100), Succ(xv400000)) -> new_primMulNat(xv30100, Succ(xv400000)) 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(xv3300), Succ(xv4000000)) -> new_primPlusNat(xv3300, xv4000000) 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(xv3300), Succ(xv4000000)) -> new_primPlusNat(xv3300, xv4000000) 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