/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 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 ---------------------------------------- (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="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(/=) xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5 -> 87[label="",style="dashed", color="red", weight=0]; 5[label="not (xv3 == xv4)",fontsize=16,color="magenta"];5 -> 88[label="",style="dashed", color="magenta", weight=3]; 88[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];905[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];88 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 93[label="",style="solid", color="burlywood", weight=3]; 87[label="not xv14",fontsize=16,color="burlywood",shape="triangle"];906[label="xv14/False",fontsize=10,color="white",style="solid",shape="box"];87 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 94[label="",style="solid", color="burlywood", weight=3]; 907[label="xv14/True",fontsize=10,color="white",style="solid",shape="box"];87 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 95[label="",style="solid", color="burlywood", weight=3]; 93[label="(xv30,xv31) == xv4",fontsize=16,color="burlywood",shape="box"];908[label="xv4/(xv40,xv41)",fontsize=10,color="white",style="solid",shape="box"];93 -> 908[label="",style="solid", color="burlywood", weight=9]; 908 -> 96[label="",style="solid", color="burlywood", weight=3]; 94[label="not False",fontsize=16,color="black",shape="box"];94 -> 97[label="",style="solid", color="black", weight=3]; 95[label="not True",fontsize=16,color="black",shape="box"];95 -> 98[label="",style="solid", color="black", weight=3]; 96[label="(xv30,xv31) == (xv40,xv41)",fontsize=16,color="black",shape="box"];96 -> 99[label="",style="solid", color="black", weight=3]; 97[label="True",fontsize=16,color="green",shape="box"];98[label="False",fontsize=16,color="green",shape="box"];99 -> 317[label="",style="dashed", color="red", weight=0]; 99[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];99 -> 318[label="",style="dashed", color="magenta", weight=3]; 99 -> 319[label="",style="dashed", color="magenta", weight=3]; 318[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];909[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 322[label="",style="solid", color="blue", weight=3]; 910[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 323[label="",style="solid", color="blue", weight=3]; 911[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 324[label="",style="solid", color="blue", weight=3]; 912[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 325[label="",style="solid", color="blue", weight=3]; 913[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 326[label="",style="solid", color="blue", weight=3]; 914[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 327[label="",style="solid", color="blue", weight=3]; 915[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 328[label="",style="solid", color="blue", weight=3]; 916[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 329[label="",style="solid", color="blue", weight=3]; 917[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 330[label="",style="solid", color="blue", weight=3]; 918[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 331[label="",style="solid", color="blue", weight=3]; 919[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 332[label="",style="solid", color="blue", weight=3]; 920[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 333[label="",style="solid", color="blue", weight=3]; 921[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 334[label="",style="solid", color="blue", weight=3]; 922[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 335[label="",style="solid", color="blue", weight=3]; 319[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];923[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 336[label="",style="solid", color="blue", weight=3]; 924[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 337[label="",style="solid", color="blue", weight=3]; 925[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 338[label="",style="solid", color="blue", weight=3]; 926[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 339[label="",style="solid", color="blue", weight=3]; 927[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 340[label="",style="solid", color="blue", weight=3]; 928[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 341[label="",style="solid", color="blue", weight=3]; 929[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 342[label="",style="solid", color="blue", weight=3]; 930[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 343[label="",style="solid", color="blue", weight=3]; 931[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 344[label="",style="solid", color="blue", weight=3]; 932[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 345[label="",style="solid", color="blue", weight=3]; 933[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 346[label="",style="solid", color="blue", weight=3]; 934[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 347[label="",style="solid", color="blue", weight=3]; 935[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 348[label="",style="solid", color="blue", weight=3]; 936[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];319 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 349[label="",style="solid", color="blue", weight=3]; 317[label="xv26 && xv27",fontsize=16,color="burlywood",shape="triangle"];937[label="xv26/False",fontsize=10,color="white",style="solid",shape="box"];317 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 350[label="",style="solid", color="burlywood", weight=3]; 938[label="xv26/True",fontsize=10,color="white",style="solid",shape="box"];317 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 351[label="",style="solid", color="burlywood", weight=3]; 322[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];939[label="xv31/Left xv310",fontsize=10,color="white",style="solid",shape="box"];322 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 352[label="",style="solid", color="burlywood", weight=3]; 940[label="xv31/Right xv310",fontsize=10,color="white",style="solid",shape="box"];322 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 353[label="",style="solid", color="burlywood", weight=3]; 323[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];941[label="xv31/xv310 : xv311",fontsize=10,color="white",style="solid",shape="box"];323 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 354[label="",style="solid", color="burlywood", weight=3]; 942[label="xv31/[]",fontsize=10,color="white",style="solid",shape="box"];323 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 355[label="",style="solid", color="burlywood", weight=3]; 324 -> 88[label="",style="dashed", color="red", weight=0]; 324[label="xv31 == xv41",fontsize=16,color="magenta"];324 -> 356[label="",style="dashed", color="magenta", weight=3]; 324 -> 357[label="",style="dashed", color="magenta", weight=3]; 325[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];943[label="xv31/Integer xv310",fontsize=10,color="white",style="solid",shape="box"];325 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 358[label="",style="solid", color="burlywood", weight=3]; 326[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];326 -> 359[label="",style="solid", color="black", weight=3]; 327[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];944[label="xv31/False",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]; 945[label="xv31/True",fontsize=10,color="white",style="solid",shape="box"];327 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 361[label="",style="solid", color="burlywood", weight=3]; 328[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];946[label="xv31/xv310 :% xv311",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="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];947[label="xv31/(xv310,xv311,xv312)",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="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];948[label="xv31/Nothing",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]; 949[label="xv31/Just xv310",fontsize=10,color="white",style="solid",shape="box"];330 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 365[label="",style="solid", color="burlywood", weight=3]; 331[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];331 -> 366[label="",style="solid", color="black", weight=3]; 332[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];950[label="xv31/LT",fontsize=10,color="white",style="solid",shape="box"];332 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 367[label="",style="solid", color="burlywood", weight=3]; 951[label="xv31/EQ",fontsize=10,color="white",style="solid",shape="box"];332 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 368[label="",style="solid", color="burlywood", weight=3]; 952[label="xv31/GT",fontsize=10,color="white",style="solid",shape="box"];332 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 369[label="",style="solid", color="burlywood", weight=3]; 333[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];333 -> 370[label="",style="solid", color="black", weight=3]; 334[label="xv31 == xv41",fontsize=16,color="burlywood",shape="triangle"];953[label="xv31/()",fontsize=10,color="white",style="solid",shape="box"];334 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 371[label="",style="solid", color="burlywood", weight=3]; 335[label="xv31 == xv41",fontsize=16,color="black",shape="triangle"];335 -> 372[label="",style="solid", color="black", weight=3]; 336 -> 322[label="",style="dashed", color="red", weight=0]; 336[label="xv30 == xv40",fontsize=16,color="magenta"];336 -> 373[label="",style="dashed", color="magenta", weight=3]; 336 -> 374[label="",style="dashed", color="magenta", weight=3]; 337 -> 323[label="",style="dashed", color="red", weight=0]; 337[label="xv30 == xv40",fontsize=16,color="magenta"];337 -> 375[label="",style="dashed", color="magenta", weight=3]; 337 -> 376[label="",style="dashed", color="magenta", weight=3]; 338 -> 88[label="",style="dashed", color="red", weight=0]; 338[label="xv30 == xv40",fontsize=16,color="magenta"];338 -> 377[label="",style="dashed", color="magenta", weight=3]; 338 -> 378[label="",style="dashed", color="magenta", weight=3]; 339 -> 325[label="",style="dashed", color="red", weight=0]; 339[label="xv30 == xv40",fontsize=16,color="magenta"];339 -> 379[label="",style="dashed", color="magenta", weight=3]; 339 -> 380[label="",style="dashed", color="magenta", weight=3]; 340 -> 326[label="",style="dashed", color="red", weight=0]; 340[label="xv30 == xv40",fontsize=16,color="magenta"];340 -> 381[label="",style="dashed", color="magenta", weight=3]; 340 -> 382[label="",style="dashed", color="magenta", weight=3]; 341 -> 327[label="",style="dashed", color="red", weight=0]; 341[label="xv30 == xv40",fontsize=16,color="magenta"];341 -> 383[label="",style="dashed", color="magenta", weight=3]; 341 -> 384[label="",style="dashed", color="magenta", weight=3]; 342 -> 328[label="",style="dashed", color="red", weight=0]; 342[label="xv30 == xv40",fontsize=16,color="magenta"];342 -> 385[label="",style="dashed", color="magenta", weight=3]; 342 -> 386[label="",style="dashed", color="magenta", weight=3]; 343 -> 329[label="",style="dashed", color="red", weight=0]; 343[label="xv30 == xv40",fontsize=16,color="magenta"];343 -> 387[label="",style="dashed", color="magenta", weight=3]; 343 -> 388[label="",style="dashed", color="magenta", weight=3]; 344 -> 330[label="",style="dashed", color="red", weight=0]; 344[label="xv30 == xv40",fontsize=16,color="magenta"];344 -> 389[label="",style="dashed", color="magenta", weight=3]; 344 -> 390[label="",style="dashed", color="magenta", weight=3]; 345 -> 331[label="",style="dashed", color="red", weight=0]; 345[label="xv30 == xv40",fontsize=16,color="magenta"];345 -> 391[label="",style="dashed", color="magenta", weight=3]; 345 -> 392[label="",style="dashed", color="magenta", weight=3]; 346 -> 332[label="",style="dashed", color="red", weight=0]; 346[label="xv30 == xv40",fontsize=16,color="magenta"];346 -> 393[label="",style="dashed", color="magenta", weight=3]; 346 -> 394[label="",style="dashed", color="magenta", weight=3]; 347 -> 333[label="",style="dashed", color="red", weight=0]; 347[label="xv30 == xv40",fontsize=16,color="magenta"];347 -> 395[label="",style="dashed", color="magenta", weight=3]; 347 -> 396[label="",style="dashed", color="magenta", weight=3]; 348 -> 334[label="",style="dashed", color="red", weight=0]; 348[label="xv30 == xv40",fontsize=16,color="magenta"];348 -> 397[label="",style="dashed", color="magenta", weight=3]; 348 -> 398[label="",style="dashed", color="magenta", weight=3]; 349 -> 335[label="",style="dashed", color="red", weight=0]; 349[label="xv30 == xv40",fontsize=16,color="magenta"];349 -> 399[label="",style="dashed", color="magenta", weight=3]; 349 -> 400[label="",style="dashed", color="magenta", weight=3]; 350[label="False && xv27",fontsize=16,color="black",shape="box"];350 -> 401[label="",style="solid", color="black", weight=3]; 351[label="True && xv27",fontsize=16,color="black",shape="box"];351 -> 402[label="",style="solid", color="black", weight=3]; 352[label="Left xv310 == xv41",fontsize=16,color="burlywood",shape="box"];954[label="xv41/Left xv410",fontsize=10,color="white",style="solid",shape="box"];352 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 403[label="",style="solid", color="burlywood", weight=3]; 955[label="xv41/Right xv410",fontsize=10,color="white",style="solid",shape="box"];352 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 404[label="",style="solid", color="burlywood", weight=3]; 353[label="Right xv310 == xv41",fontsize=16,color="burlywood",shape="box"];956[label="xv41/Left xv410",fontsize=10,color="white",style="solid",shape="box"];353 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 405[label="",style="solid", color="burlywood", weight=3]; 957[label="xv41/Right xv410",fontsize=10,color="white",style="solid",shape="box"];353 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 406[label="",style="solid", color="burlywood", weight=3]; 354[label="xv310 : xv311 == xv41",fontsize=16,color="burlywood",shape="box"];958[label="xv41/xv410 : xv411",fontsize=10,color="white",style="solid",shape="box"];354 -> 958[label="",style="solid", color="burlywood", weight=9]; 958 -> 407[label="",style="solid", color="burlywood", weight=3]; 959[label="xv41/[]",fontsize=10,color="white",style="solid",shape="box"];354 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 408[label="",style="solid", color="burlywood", weight=3]; 355[label="[] == xv41",fontsize=16,color="burlywood",shape="box"];960[label="xv41/xv410 : xv411",fontsize=10,color="white",style="solid",shape="box"];355 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 409[label="",style="solid", color="burlywood", weight=3]; 961[label="xv41/[]",fontsize=10,color="white",style="solid",shape="box"];355 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 410[label="",style="solid", color="burlywood", weight=3]; 356[label="xv31",fontsize=16,color="green",shape="box"];357[label="xv41",fontsize=16,color="green",shape="box"];358[label="Integer xv310 == xv41",fontsize=16,color="burlywood",shape="box"];962[label="xv41/Integer xv410",fontsize=10,color="white",style="solid",shape="box"];358 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 411[label="",style="solid", color="burlywood", weight=3]; 359[label="primEqFloat xv31 xv41",fontsize=16,color="burlywood",shape="box"];963[label="xv31/Float xv310 xv311",fontsize=10,color="white",style="solid",shape="box"];359 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 412[label="",style="solid", color="burlywood", weight=3]; 360[label="False == xv41",fontsize=16,color="burlywood",shape="box"];964[label="xv41/False",fontsize=10,color="white",style="solid",shape="box"];360 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 413[label="",style="solid", color="burlywood", weight=3]; 965[label="xv41/True",fontsize=10,color="white",style="solid",shape="box"];360 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 414[label="",style="solid", color="burlywood", weight=3]; 361[label="True == xv41",fontsize=16,color="burlywood",shape="box"];966[label="xv41/False",fontsize=10,color="white",style="solid",shape="box"];361 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 415[label="",style="solid", color="burlywood", weight=3]; 967[label="xv41/True",fontsize=10,color="white",style="solid",shape="box"];361 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 416[label="",style="solid", color="burlywood", weight=3]; 362[label="xv310 :% xv311 == xv41",fontsize=16,color="burlywood",shape="box"];968[label="xv41/xv410 :% xv411",fontsize=10,color="white",style="solid",shape="box"];362 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 417[label="",style="solid", color="burlywood", weight=3]; 363[label="(xv310,xv311,xv312) == xv41",fontsize=16,color="burlywood",shape="box"];969[label="xv41/(xv410,xv411,xv412)",fontsize=10,color="white",style="solid",shape="box"];363 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 418[label="",style="solid", color="burlywood", weight=3]; 364[label="Nothing == xv41",fontsize=16,color="burlywood",shape="box"];970[label="xv41/Nothing",fontsize=10,color="white",style="solid",shape="box"];364 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 419[label="",style="solid", color="burlywood", weight=3]; 971[label="xv41/Just xv410",fontsize=10,color="white",style="solid",shape="box"];364 -> 971[label="",style="solid", color="burlywood", weight=9]; 971 -> 420[label="",style="solid", color="burlywood", weight=3]; 365[label="Just xv310 == xv41",fontsize=16,color="burlywood",shape="box"];972[label="xv41/Nothing",fontsize=10,color="white",style="solid",shape="box"];365 -> 972[label="",style="solid", color="burlywood", weight=9]; 972 -> 421[label="",style="solid", color="burlywood", weight=3]; 973[label="xv41/Just xv410",fontsize=10,color="white",style="solid",shape="box"];365 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 422[label="",style="solid", color="burlywood", weight=3]; 366[label="primEqInt xv31 xv41",fontsize=16,color="burlywood",shape="triangle"];974[label="xv31/Pos xv310",fontsize=10,color="white",style="solid",shape="box"];366 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 423[label="",style="solid", color="burlywood", weight=3]; 975[label="xv31/Neg xv310",fontsize=10,color="white",style="solid",shape="box"];366 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 424[label="",style="solid", color="burlywood", weight=3]; 367[label="LT == xv41",fontsize=16,color="burlywood",shape="box"];976[label="xv41/LT",fontsize=10,color="white",style="solid",shape="box"];367 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 425[label="",style="solid", color="burlywood", weight=3]; 977[label="xv41/EQ",fontsize=10,color="white",style="solid",shape="box"];367 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 426[label="",style="solid", color="burlywood", weight=3]; 978[label="xv41/GT",fontsize=10,color="white",style="solid",shape="box"];367 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 427[label="",style="solid", color="burlywood", weight=3]; 368[label="EQ == xv41",fontsize=16,color="burlywood",shape="box"];979[label="xv41/LT",fontsize=10,color="white",style="solid",shape="box"];368 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 428[label="",style="solid", color="burlywood", weight=3]; 980[label="xv41/EQ",fontsize=10,color="white",style="solid",shape="box"];368 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 429[label="",style="solid", color="burlywood", weight=3]; 981[label="xv41/GT",fontsize=10,color="white",style="solid",shape="box"];368 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 430[label="",style="solid", color="burlywood", weight=3]; 369[label="GT == xv41",fontsize=16,color="burlywood",shape="box"];982[label="xv41/LT",fontsize=10,color="white",style="solid",shape="box"];369 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 431[label="",style="solid", color="burlywood", weight=3]; 983[label="xv41/EQ",fontsize=10,color="white",style="solid",shape="box"];369 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 432[label="",style="solid", color="burlywood", weight=3]; 984[label="xv41/GT",fontsize=10,color="white",style="solid",shape="box"];369 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 433[label="",style="solid", color="burlywood", weight=3]; 370[label="primEqChar xv31 xv41",fontsize=16,color="burlywood",shape="box"];985[label="xv31/Char xv310",fontsize=10,color="white",style="solid",shape="box"];370 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 434[label="",style="solid", color="burlywood", weight=3]; 371[label="() == xv41",fontsize=16,color="burlywood",shape="box"];986[label="xv41/()",fontsize=10,color="white",style="solid",shape="box"];371 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 435[label="",style="solid", color="burlywood", weight=3]; 372[label="primEqDouble xv31 xv41",fontsize=16,color="burlywood",shape="box"];987[label="xv31/Double xv310 xv311",fontsize=10,color="white",style="solid",shape="box"];372 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 436[label="",style="solid", color="burlywood", weight=3]; 373[label="xv30",fontsize=16,color="green",shape="box"];374[label="xv40",fontsize=16,color="green",shape="box"];375[label="xv30",fontsize=16,color="green",shape="box"];376[label="xv40",fontsize=16,color="green",shape="box"];377[label="xv30",fontsize=16,color="green",shape="box"];378[label="xv40",fontsize=16,color="green",shape="box"];379[label="xv30",fontsize=16,color="green",shape="box"];380[label="xv40",fontsize=16,color="green",shape="box"];381[label="xv30",fontsize=16,color="green",shape="box"];382[label="xv40",fontsize=16,color="green",shape="box"];383[label="xv30",fontsize=16,color="green",shape="box"];384[label="xv40",fontsize=16,color="green",shape="box"];385[label="xv30",fontsize=16,color="green",shape="box"];386[label="xv40",fontsize=16,color="green",shape="box"];387[label="xv30",fontsize=16,color="green",shape="box"];388[label="xv40",fontsize=16,color="green",shape="box"];389[label="xv30",fontsize=16,color="green",shape="box"];390[label="xv40",fontsize=16,color="green",shape="box"];391[label="xv30",fontsize=16,color="green",shape="box"];392[label="xv40",fontsize=16,color="green",shape="box"];393[label="xv30",fontsize=16,color="green",shape="box"];394[label="xv40",fontsize=16,color="green",shape="box"];395[label="xv30",fontsize=16,color="green",shape="box"];396[label="xv40",fontsize=16,color="green",shape="box"];397[label="xv30",fontsize=16,color="green",shape="box"];398[label="xv40",fontsize=16,color="green",shape="box"];399[label="xv30",fontsize=16,color="green",shape="box"];400[label="xv40",fontsize=16,color="green",shape="box"];401[label="False",fontsize=16,color="green",shape="box"];402[label="xv27",fontsize=16,color="green",shape="box"];403[label="Left xv310 == Left xv410",fontsize=16,color="black",shape="box"];403 -> 437[label="",style="solid", color="black", weight=3]; 404[label="Left xv310 == Right xv410",fontsize=16,color="black",shape="box"];404 -> 438[label="",style="solid", color="black", weight=3]; 405[label="Right xv310 == Left xv410",fontsize=16,color="black",shape="box"];405 -> 439[label="",style="solid", color="black", weight=3]; 406[label="Right xv310 == Right xv410",fontsize=16,color="black",shape="box"];406 -> 440[label="",style="solid", color="black", weight=3]; 407[label="xv310 : xv311 == xv410 : xv411",fontsize=16,color="black",shape="box"];407 -> 441[label="",style="solid", color="black", weight=3]; 408[label="xv310 : xv311 == []",fontsize=16,color="black",shape="box"];408 -> 442[label="",style="solid", color="black", weight=3]; 409[label="[] == xv410 : xv411",fontsize=16,color="black",shape="box"];409 -> 443[label="",style="solid", color="black", weight=3]; 410[label="[] == []",fontsize=16,color="black",shape="box"];410 -> 444[label="",style="solid", color="black", weight=3]; 411[label="Integer xv310 == Integer xv410",fontsize=16,color="black",shape="box"];411 -> 445[label="",style="solid", color="black", weight=3]; 412[label="primEqFloat (Float xv310 xv311) xv41",fontsize=16,color="burlywood",shape="box"];988[label="xv41/Float xv410 xv411",fontsize=10,color="white",style="solid",shape="box"];412 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 446[label="",style="solid", color="burlywood", weight=3]; 413[label="False == False",fontsize=16,color="black",shape="box"];413 -> 447[label="",style="solid", color="black", weight=3]; 414[label="False == True",fontsize=16,color="black",shape="box"];414 -> 448[label="",style="solid", color="black", weight=3]; 415[label="True == False",fontsize=16,color="black",shape="box"];415 -> 449[label="",style="solid", color="black", weight=3]; 416[label="True == True",fontsize=16,color="black",shape="box"];416 -> 450[label="",style="solid", color="black", weight=3]; 417[label="xv310 :% xv311 == xv410 :% xv411",fontsize=16,color="black",shape="box"];417 -> 451[label="",style="solid", color="black", weight=3]; 418[label="(xv310,xv311,xv312) == (xv410,xv411,xv412)",fontsize=16,color="black",shape="box"];418 -> 452[label="",style="solid", color="black", weight=3]; 419[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];419 -> 453[label="",style="solid", color="black", weight=3]; 420[label="Nothing == Just xv410",fontsize=16,color="black",shape="box"];420 -> 454[label="",style="solid", color="black", weight=3]; 421[label="Just xv310 == Nothing",fontsize=16,color="black",shape="box"];421 -> 455[label="",style="solid", color="black", weight=3]; 422[label="Just xv310 == Just xv410",fontsize=16,color="black",shape="box"];422 -> 456[label="",style="solid", color="black", weight=3]; 423[label="primEqInt (Pos xv310) xv41",fontsize=16,color="burlywood",shape="box"];989[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];423 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 457[label="",style="solid", color="burlywood", weight=3]; 990[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];423 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 458[label="",style="solid", color="burlywood", weight=3]; 424[label="primEqInt (Neg xv310) xv41",fontsize=16,color="burlywood",shape="box"];991[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];424 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 459[label="",style="solid", color="burlywood", weight=3]; 992[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];424 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 460[label="",style="solid", color="burlywood", 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 xv310) xv41",fontsize=16,color="burlywood",shape="box"];993[label="xv41/Char xv410",fontsize=10,color="white",style="solid",shape="box"];434 -> 993[label="",style="solid", color="burlywood", weight=9]; 993 -> 470[label="",style="solid", color="burlywood", weight=3]; 435[label="() == ()",fontsize=16,color="black",shape="box"];435 -> 471[label="",style="solid", color="black", weight=3]; 436[label="primEqDouble (Double xv310 xv311) xv41",fontsize=16,color="burlywood",shape="box"];994[label="xv41/Double xv410 xv411",fontsize=10,color="white",style="solid",shape="box"];436 -> 994[label="",style="solid", color="burlywood", weight=9]; 994 -> 472[label="",style="solid", color="burlywood", weight=3]; 437[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];995[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 473[label="",style="solid", color="blue", weight=3]; 996[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 474[label="",style="solid", color="blue", weight=3]; 997[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 475[label="",style="solid", color="blue", weight=3]; 998[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 476[label="",style="solid", color="blue", weight=3]; 999[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 477[label="",style="solid", color="blue", weight=3]; 1000[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 478[label="",style="solid", color="blue", weight=3]; 1001[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 479[label="",style="solid", color="blue", weight=3]; 1002[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 480[label="",style="solid", color="blue", weight=3]; 1003[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 481[label="",style="solid", color="blue", weight=3]; 1004[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 482[label="",style="solid", color="blue", weight=3]; 1005[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 483[label="",style="solid", color="blue", weight=3]; 1006[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 484[label="",style="solid", color="blue", weight=3]; 1007[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 485[label="",style="solid", color="blue", weight=3]; 1008[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];437 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 486[label="",style="solid", color="blue", weight=3]; 438[label="False",fontsize=16,color="green",shape="box"];439[label="False",fontsize=16,color="green",shape="box"];440[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];1009[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 487[label="",style="solid", color="blue", weight=3]; 1010[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 488[label="",style="solid", color="blue", weight=3]; 1011[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 489[label="",style="solid", color="blue", weight=3]; 1012[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 490[label="",style="solid", color="blue", weight=3]; 1013[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 491[label="",style="solid", color="blue", weight=3]; 1014[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 492[label="",style="solid", color="blue", weight=3]; 1015[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 493[label="",style="solid", color="blue", weight=3]; 1016[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 494[label="",style="solid", color="blue", weight=3]; 1017[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 495[label="",style="solid", color="blue", weight=3]; 1018[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 496[label="",style="solid", color="blue", weight=3]; 1019[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 497[label="",style="solid", color="blue", weight=3]; 1020[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 498[label="",style="solid", color="blue", weight=3]; 1021[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 499[label="",style="solid", color="blue", weight=3]; 1022[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];440 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 500[label="",style="solid", color="blue", weight=3]; 441 -> 317[label="",style="dashed", color="red", weight=0]; 441[label="xv310 == xv410 && xv311 == xv411",fontsize=16,color="magenta"];441 -> 501[label="",style="dashed", color="magenta", weight=3]; 441 -> 502[label="",style="dashed", color="magenta", weight=3]; 442[label="False",fontsize=16,color="green",shape="box"];443[label="False",fontsize=16,color="green",shape="box"];444[label="True",fontsize=16,color="green",shape="box"];445 -> 366[label="",style="dashed", color="red", weight=0]; 445[label="primEqInt xv310 xv410",fontsize=16,color="magenta"];445 -> 503[label="",style="dashed", color="magenta", weight=3]; 445 -> 504[label="",style="dashed", color="magenta", weight=3]; 446[label="primEqFloat (Float xv310 xv311) (Float xv410 xv411)",fontsize=16,color="black",shape="box"];446 -> 505[label="",style="solid", color="black", weight=3]; 447[label="True",fontsize=16,color="green",shape="box"];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 -> 317[label="",style="dashed", color="red", weight=0]; 451[label="xv310 == xv410 && xv311 == xv411",fontsize=16,color="magenta"];451 -> 506[label="",style="dashed", color="magenta", weight=3]; 451 -> 507[label="",style="dashed", color="magenta", weight=3]; 452 -> 317[label="",style="dashed", color="red", weight=0]; 452[label="xv310 == xv410 && xv311 == xv411 && xv312 == xv412",fontsize=16,color="magenta"];452 -> 508[label="",style="dashed", color="magenta", weight=3]; 452 -> 509[label="",style="dashed", color="magenta", weight=3]; 453[label="True",fontsize=16,color="green",shape="box"];454[label="False",fontsize=16,color="green",shape="box"];455[label="False",fontsize=16,color="green",shape="box"];456[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];1023[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 510[label="",style="solid", color="blue", weight=3]; 1024[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 511[label="",style="solid", color="blue", weight=3]; 1025[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 512[label="",style="solid", color="blue", weight=3]; 1026[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 513[label="",style="solid", color="blue", weight=3]; 1027[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 514[label="",style="solid", color="blue", weight=3]; 1028[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 515[label="",style="solid", color="blue", weight=3]; 1029[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 516[label="",style="solid", color="blue", weight=3]; 1030[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 517[label="",style="solid", color="blue", weight=3]; 1031[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 518[label="",style="solid", color="blue", weight=3]; 1032[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 519[label="",style="solid", color="blue", weight=3]; 1033[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 520[label="",style="solid", color="blue", weight=3]; 1034[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 521[label="",style="solid", color="blue", weight=3]; 1035[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 522[label="",style="solid", color="blue", weight=3]; 1036[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 523[label="",style="solid", color="blue", weight=3]; 457[label="primEqInt (Pos (Succ xv3100)) xv41",fontsize=16,color="burlywood",shape="box"];1037[label="xv41/Pos xv410",fontsize=10,color="white",style="solid",shape="box"];457 -> 1037[label="",style="solid", color="burlywood", weight=9]; 1037 -> 524[label="",style="solid", color="burlywood", weight=3]; 1038[label="xv41/Neg xv410",fontsize=10,color="white",style="solid",shape="box"];457 -> 1038[label="",style="solid", color="burlywood", weight=9]; 1038 -> 525[label="",style="solid", color="burlywood", weight=3]; 458[label="primEqInt (Pos Zero) 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460[label="primEqInt (Neg Zero) xv41",fontsize=16,color="burlywood",shape="box"];1043[label="xv41/Pos xv410",fontsize=10,color="white",style="solid",shape="box"];460 -> 1043[label="",style="solid", color="burlywood", weight=9]; 1043 -> 530[label="",style="solid", color="burlywood", weight=3]; 1044[label="xv41/Neg xv410",fontsize=10,color="white",style="solid",shape="box"];460 -> 1044[label="",style="solid", color="burlywood", weight=9]; 1044 -> 531[label="",style="solid", color="burlywood", 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 xv310) (Char xv410)",fontsize=16,color="black",shape="box"];470 -> 532[label="",style="solid", color="black", weight=3]; 471[label="True",fontsize=16,color="green",shape="box"];472[label="primEqDouble (Double xv310 xv311) (Double xv410 xv411)",fontsize=16,color="black",shape="box"];472 -> 533[label="",style="solid", color="black", weight=3]; 473 -> 322[label="",style="dashed", color="red", weight=0]; 473[label="xv310 == 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xv410",fontsize=16,color="magenta"];485 -> 558[label="",style="dashed", color="magenta", weight=3]; 485 -> 559[label="",style="dashed", color="magenta", weight=3]; 486 -> 335[label="",style="dashed", color="red", weight=0]; 486[label="xv310 == xv410",fontsize=16,color="magenta"];486 -> 560[label="",style="dashed", color="magenta", weight=3]; 486 -> 561[label="",style="dashed", color="magenta", weight=3]; 487 -> 322[label="",style="dashed", color="red", weight=0]; 487[label="xv310 == xv410",fontsize=16,color="magenta"];487 -> 562[label="",style="dashed", color="magenta", weight=3]; 487 -> 563[label="",style="dashed", color="magenta", weight=3]; 488 -> 323[label="",style="dashed", color="red", weight=0]; 488[label="xv310 == xv410",fontsize=16,color="magenta"];488 -> 564[label="",style="dashed", color="magenta", weight=3]; 488 -> 565[label="",style="dashed", color="magenta", weight=3]; 489 -> 88[label="",style="dashed", color="red", weight=0]; 489[label="xv310 == xv410",fontsize=16,color="magenta"];489 -> 566[label="",style="dashed", color="magenta", weight=3]; 489 -> 567[label="",style="dashed", color="magenta", weight=3]; 490 -> 325[label="",style="dashed", color="red", weight=0]; 490[label="xv310 == xv410",fontsize=16,color="magenta"];490 -> 568[label="",style="dashed", color="magenta", weight=3]; 490 -> 569[label="",style="dashed", color="magenta", weight=3]; 491 -> 326[label="",style="dashed", color="red", weight=0]; 491[label="xv310 == xv410",fontsize=16,color="magenta"];491 -> 570[label="",style="dashed", color="magenta", weight=3]; 491 -> 571[label="",style="dashed", color="magenta", weight=3]; 492 -> 327[label="",style="dashed", color="red", weight=0]; 492[label="xv310 == xv410",fontsize=16,color="magenta"];492 -> 572[label="",style="dashed", color="magenta", weight=3]; 492 -> 573[label="",style="dashed", color="magenta", weight=3]; 493 -> 328[label="",style="dashed", color="red", weight=0]; 493[label="xv310 == 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xv411",fontsize=16,color="magenta"];501 -> 590[label="",style="dashed", color="magenta", weight=3]; 501 -> 591[label="",style="dashed", color="magenta", weight=3]; 502[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];1045[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 592[label="",style="solid", color="blue", weight=3]; 1046[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 593[label="",style="solid", color="blue", weight=3]; 1047[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 594[label="",style="solid", color="blue", weight=3]; 1048[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 595[label="",style="solid", color="blue", weight=3]; 1049[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 596[label="",style="solid", color="blue", weight=3]; 1050[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1050[label="",style="solid", color="blue", weight=9]; 1050 -> 597[label="",style="solid", color="blue", weight=3]; 1051[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1051[label="",style="solid", color="blue", weight=9]; 1051 -> 598[label="",style="solid", color="blue", weight=3]; 1052[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 599[label="",style="solid", color="blue", weight=3]; 1053[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 600[label="",style="solid", color="blue", weight=3]; 1054[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 601[label="",style="solid", color="blue", weight=3]; 1055[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 602[label="",style="solid", color="blue", weight=3]; 1056[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 603[label="",style="solid", color="blue", weight=3]; 1057[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 604[label="",style="solid", color="blue", weight=3]; 1058[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 605[label="",style="solid", color="blue", weight=3]; 503[label="xv310",fontsize=16,color="green",shape="box"];504[label="xv410",fontsize=16,color="green",shape="box"];505 -> 331[label="",style="dashed", color="red", weight=0]; 505[label="xv310 * xv411 == xv311 * xv410",fontsize=16,color="magenta"];505 -> 606[label="",style="dashed", color="magenta", weight=3]; 505 -> 607[label="",style="dashed", color="magenta", weight=3]; 506[label="xv311 == xv411",fontsize=16,color="blue",shape="box"];1059[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 608[label="",style="solid", color="blue", weight=3]; 1060[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1060[label="",style="solid", color="blue", weight=9]; 1060 -> 609[label="",style="solid", color="blue", weight=3]; 507[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];1061[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1061[label="",style="solid", color="blue", weight=9]; 1061 -> 610[label="",style="solid", color="blue", weight=3]; 1062[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1062[label="",style="solid", color="blue", weight=9]; 1062 -> 611[label="",style="solid", color="blue", weight=3]; 508 -> 317[label="",style="dashed", color="red", weight=0]; 508[label="xv311 == xv411 && xv312 == xv412",fontsize=16,color="magenta"];508 -> 612[label="",style="dashed", color="magenta", weight=3]; 508 -> 613[label="",style="dashed", color="magenta", weight=3]; 509[label="xv310 == xv410",fontsize=16,color="blue",shape="box"];1063[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1063[label="",style="solid", color="blue", weight=9]; 1063 -> 614[label="",style="solid", color="blue", weight=3]; 1064[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1064[label="",style="solid", color="blue", weight=9]; 1064 -> 615[label="",style="solid", color="blue", weight=3]; 1065[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1065[label="",style="solid", color="blue", weight=9]; 1065 -> 616[label="",style="solid", color="blue", weight=3]; 1066[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 617[label="",style="solid", color="blue", weight=3]; 1067[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 618[label="",style="solid", color="blue", weight=3]; 1068[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 619[label="",style="solid", color="blue", weight=3]; 1069[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 620[label="",style="solid", color="blue", weight=3]; 1070[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 621[label="",style="solid", color="blue", weight=3]; 1071[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 622[label="",style="solid", color="blue", weight=3]; 1072[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 623[label="",style="solid", color="blue", weight=3]; 1073[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 624[label="",style="solid", color="blue", weight=3]; 1074[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 625[label="",style="solid", color="blue", weight=3]; 1075[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 626[label="",style="solid", color="blue", weight=3]; 1076[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 627[label="",style="solid", color="blue", weight=3]; 510 -> 322[label="",style="dashed", color="red", weight=0]; 510[label="xv310 == xv410",fontsize=16,color="magenta"];510 -> 628[label="",style="dashed", color="magenta", weight=3]; 510 -> 629[label="",style="dashed", color="magenta", weight=3]; 511 -> 323[label="",style="dashed", color="red", weight=0]; 511[label="xv310 == xv410",fontsize=16,color="magenta"];511 -> 630[label="",style="dashed", color="magenta", weight=3]; 511 -> 631[label="",style="dashed", color="magenta", weight=3]; 512 -> 88[label="",style="dashed", color="red", weight=0]; 512[label="xv310 == xv410",fontsize=16,color="magenta"];512 -> 632[label="",style="dashed", color="magenta", weight=3]; 512 -> 633[label="",style="dashed", color="magenta", weight=3]; 513 -> 325[label="",style="dashed", color="red", weight=0]; 513[label="xv310 == xv410",fontsize=16,color="magenta"];513 -> 634[label="",style="dashed", color="magenta", weight=3]; 513 -> 635[label="",style="dashed", color="magenta", weight=3]; 514 -> 326[label="",style="dashed", color="red", weight=0]; 514[label="xv310 == xv410",fontsize=16,color="magenta"];514 -> 636[label="",style="dashed", color="magenta", weight=3]; 514 -> 637[label="",style="dashed", color="magenta", weight=3]; 515 -> 327[label="",style="dashed", color="red", weight=0]; 515[label="xv310 == xv410",fontsize=16,color="magenta"];515 -> 638[label="",style="dashed", color="magenta", weight=3]; 515 -> 639[label="",style="dashed", color="magenta", weight=3]; 516 -> 328[label="",style="dashed", color="red", weight=0]; 516[label="xv310 == xv410",fontsize=16,color="magenta"];516 -> 640[label="",style="dashed", color="magenta", weight=3]; 516 -> 641[label="",style="dashed", color="magenta", weight=3]; 517 -> 329[label="",style="dashed", color="red", weight=0]; 517[label="xv310 == xv410",fontsize=16,color="magenta"];517 -> 642[label="",style="dashed", color="magenta", weight=3]; 517 -> 643[label="",style="dashed", color="magenta", weight=3]; 518 -> 330[label="",style="dashed", color="red", weight=0]; 518[label="xv310 == xv410",fontsize=16,color="magenta"];518 -> 644[label="",style="dashed", color="magenta", weight=3]; 518 -> 645[label="",style="dashed", color="magenta", weight=3]; 519 -> 331[label="",style="dashed", color="red", weight=0]; 519[label="xv310 == xv410",fontsize=16,color="magenta"];519 -> 646[label="",style="dashed", color="magenta", weight=3]; 519 -> 647[label="",style="dashed", color="magenta", weight=3]; 520 -> 332[label="",style="dashed", color="red", weight=0]; 520[label="xv310 == xv410",fontsize=16,color="magenta"];520 -> 648[label="",style="dashed", color="magenta", weight=3]; 520 -> 649[label="",style="dashed", color="magenta", weight=3]; 521 -> 333[label="",style="dashed", color="red", weight=0]; 521[label="xv310 == xv410",fontsize=16,color="magenta"];521 -> 650[label="",style="dashed", color="magenta", weight=3]; 521 -> 651[label="",style="dashed", color="magenta", weight=3]; 522 -> 334[label="",style="dashed", color="red", weight=0]; 522[label="xv310 == xv410",fontsize=16,color="magenta"];522 -> 652[label="",style="dashed", color="magenta", weight=3]; 522 -> 653[label="",style="dashed", color="magenta", weight=3]; 523 -> 335[label="",style="dashed", color="red", weight=0]; 523[label="xv310 == xv410",fontsize=16,color="magenta"];523 -> 654[label="",style="dashed", color="magenta", weight=3]; 523 -> 655[label="",style="dashed", color="magenta", weight=3]; 524[label="primEqInt (Pos (Succ xv3100)) (Pos xv410)",fontsize=16,color="burlywood",shape="box"];1077[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];524 -> 1077[label="",style="solid", color="burlywood", weight=9]; 1077 -> 656[label="",style="solid", color="burlywood", weight=3]; 1078[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];524 -> 1078[label="",style="solid", color="burlywood", weight=9]; 1078 -> 657[label="",style="solid", color="burlywood", weight=3]; 525[label="primEqInt (Pos (Succ xv3100)) (Neg xv410)",fontsize=16,color="black",shape="box"];525 -> 658[label="",style="solid", color="black", weight=3]; 526[label="primEqInt (Pos Zero) (Pos xv410)",fontsize=16,color="burlywood",shape="box"];1079[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];526 -> 1079[label="",style="solid", color="burlywood", weight=9]; 1079 -> 659[label="",style="solid", color="burlywood", weight=3]; 1080[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];526 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 660[label="",style="solid", color="burlywood", weight=3]; 527[label="primEqInt (Pos Zero) (Neg xv410)",fontsize=16,color="burlywood",shape="box"];1081[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];527 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 661[label="",style="solid", color="burlywood", weight=3]; 1082[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];527 -> 1082[label="",style="solid", color="burlywood", weight=9]; 1082 -> 662[label="",style="solid", color="burlywood", weight=3]; 528[label="primEqInt (Neg (Succ xv3100)) (Pos xv410)",fontsize=16,color="black",shape="box"];528 -> 663[label="",style="solid", color="black", weight=3]; 529[label="primEqInt (Neg (Succ xv3100)) (Neg xv410)",fontsize=16,color="burlywood",shape="box"];1083[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];529 -> 1083[label="",style="solid", color="burlywood", weight=9]; 1083 -> 664[label="",style="solid", color="burlywood", weight=3]; 1084[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];529 -> 1084[label="",style="solid", color="burlywood", weight=9]; 1084 -> 665[label="",style="solid", color="burlywood", weight=3]; 530[label="primEqInt (Neg Zero) (Pos xv410)",fontsize=16,color="burlywood",shape="box"];1085[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];530 -> 1085[label="",style="solid", color="burlywood", weight=9]; 1085 -> 666[label="",style="solid", color="burlywood", weight=3]; 1086[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];530 -> 1086[label="",style="solid", color="burlywood", weight=9]; 1086 -> 667[label="",style="solid", color="burlywood", weight=3]; 531[label="primEqInt (Neg Zero) (Neg xv410)",fontsize=16,color="burlywood",shape="box"];1087[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];531 -> 1087[label="",style="solid", color="burlywood", weight=9]; 1087 -> 668[label="",style="solid", color="burlywood", weight=3]; 1088[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];531 -> 1088[label="",style="solid", color="burlywood", weight=9]; 1088 -> 669[label="",style="solid", color="burlywood", weight=3]; 532[label="primEqNat xv310 xv410",fontsize=16,color="burlywood",shape="triangle"];1089[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];532 -> 1089[label="",style="solid", color="burlywood", weight=9]; 1089 -> 670[label="",style="solid", color="burlywood", weight=3]; 1090[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];532 -> 1090[label="",style="solid", color="burlywood", weight=9]; 1090 -> 671[label="",style="solid", color="burlywood", weight=3]; 533 -> 331[label="",style="dashed", color="red", weight=0]; 533[label="xv310 * xv411 == xv311 * xv410",fontsize=16,color="magenta"];533 -> 672[label="",style="dashed", color="magenta", weight=3]; 533 -> 673[label="",style="dashed", color="magenta", weight=3]; 534[label="xv310",fontsize=16,color="green",shape="box"];535[label="xv410",fontsize=16,color="green",shape="box"];536[label="xv310",fontsize=16,color="green",shape="box"];537[label="xv410",fontsize=16,color="green",shape="box"];538[label="xv310",fontsize=16,color="green",shape="box"];539[label="xv410",fontsize=16,color="green",shape="box"];540[label="xv310",fontsize=16,color="green",shape="box"];541[label="xv410",fontsize=16,color="green",shape="box"];542[label="xv310",fontsize=16,color="green",shape="box"];543[label="xv410",fontsize=16,color="green",shape="box"];544[label="xv310",fontsize=16,color="green",shape="box"];545[label="xv410",fontsize=16,color="green",shape="box"];546[label="xv310",fontsize=16,color="green",shape="box"];547[label="xv410",fontsize=16,color="green",shape="box"];548[label="xv310",fontsize=16,color="green",shape="box"];549[label="xv410",fontsize=16,color="green",shape="box"];550[label="xv310",fontsize=16,color="green",shape="box"];551[label="xv410",fontsize=16,color="green",shape="box"];552[label="xv310",fontsize=16,color="green",shape="box"];553[label="xv410",fontsize=16,color="green",shape="box"];554[label="xv310",fontsize=16,color="green",shape="box"];555[label="xv410",fontsize=16,color="green",shape="box"];556[label="xv310",fontsize=16,color="green",shape="box"];557[label="xv410",fontsize=16,color="green",shape="box"];558[label="xv310",fontsize=16,color="green",shape="box"];559[label="xv410",fontsize=16,color="green",shape="box"];560[label="xv310",fontsize=16,color="green",shape="box"];561[label="xv410",fontsize=16,color="green",shape="box"];562[label="xv310",fontsize=16,color="green",shape="box"];563[label="xv410",fontsize=16,color="green",shape="box"];564[label="xv310",fontsize=16,color="green",shape="box"];565[label="xv410",fontsize=16,color="green",shape="box"];566[label="xv310",fontsize=16,color="green",shape="box"];567[label="xv410",fontsize=16,color="green",shape="box"];568[label="xv310",fontsize=16,color="green",shape="box"];569[label="xv410",fontsize=16,color="green",shape="box"];570[label="xv310",fontsize=16,color="green",shape="box"];571[label="xv410",fontsize=16,color="green",shape="box"];572[label="xv310",fontsize=16,color="green",shape="box"];573[label="xv410",fontsize=16,color="green",shape="box"];574[label="xv310",fontsize=16,color="green",shape="box"];575[label="xv410",fontsize=16,color="green",shape="box"];576[label="xv310",fontsize=16,color="green",shape="box"];577[label="xv410",fontsize=16,color="green",shape="box"];578[label="xv310",fontsize=16,color="green",shape="box"];579[label="xv410",fontsize=16,color="green",shape="box"];580[label="xv310",fontsize=16,color="green",shape="box"];581[label="xv410",fontsize=16,color="green",shape="box"];582[label="xv310",fontsize=16,color="green",shape="box"];583[label="xv410",fontsize=16,color="green",shape="box"];584[label="xv310",fontsize=16,color="green",shape="box"];585[label="xv410",fontsize=16,color="green",shape="box"];586[label="xv310",fontsize=16,color="green",shape="box"];587[label="xv410",fontsize=16,color="green",shape="box"];588[label="xv310",fontsize=16,color="green",shape="box"];589[label="xv410",fontsize=16,color="green",shape="box"];590[label="xv311",fontsize=16,color="green",shape="box"];591[label="xv411",fontsize=16,color="green",shape="box"];592 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334[label="",style="dashed", color="red", weight=0]; 604[label="xv310 == xv410",fontsize=16,color="magenta"];604 -> 698[label="",style="dashed", color="magenta", weight=3]; 604 -> 699[label="",style="dashed", color="magenta", weight=3]; 605 -> 335[label="",style="dashed", color="red", weight=0]; 605[label="xv310 == xv410",fontsize=16,color="magenta"];605 -> 700[label="",style="dashed", color="magenta", weight=3]; 605 -> 701[label="",style="dashed", color="magenta", weight=3]; 606[label="xv310 * xv411",fontsize=16,color="black",shape="triangle"];606 -> 702[label="",style="solid", color="black", weight=3]; 607 -> 606[label="",style="dashed", color="red", weight=0]; 607[label="xv311 * xv410",fontsize=16,color="magenta"];607 -> 703[label="",style="dashed", color="magenta", weight=3]; 607 -> 704[label="",style="dashed", color="magenta", weight=3]; 608 -> 325[label="",style="dashed", color="red", weight=0]; 608[label="xv311 == xv411",fontsize=16,color="magenta"];608 -> 705[label="",style="dashed", color="magenta", weight=3]; 608 -> 706[label="",style="dashed", color="magenta", weight=3]; 609 -> 331[label="",style="dashed", color="red", weight=0]; 609[label="xv311 == xv411",fontsize=16,color="magenta"];609 -> 707[label="",style="dashed", color="magenta", weight=3]; 609 -> 708[label="",style="dashed", color="magenta", weight=3]; 610 -> 325[label="",style="dashed", color="red", weight=0]; 610[label="xv310 == xv410",fontsize=16,color="magenta"];610 -> 709[label="",style="dashed", color="magenta", weight=3]; 610 -> 710[label="",style="dashed", color="magenta", weight=3]; 611 -> 331[label="",style="dashed", color="red", weight=0]; 611[label="xv310 == xv410",fontsize=16,color="magenta"];611 -> 711[label="",style="dashed", color="magenta", weight=3]; 611 -> 712[label="",style="dashed", color="magenta", weight=3]; 612[label="xv312 == xv412",fontsize=16,color="blue",shape="box"];1091[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1091[label="",style="solid", color="blue", weight=9]; 1091 -> 713[label="",style="solid", color="blue", weight=3]; 1092[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 714[label="",style="solid", color="blue", weight=3]; 1093[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 715[label="",style="solid", color="blue", weight=3]; 1094[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1094[label="",style="solid", color="blue", weight=9]; 1094 -> 716[label="",style="solid", color="blue", weight=3]; 1095[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1095[label="",style="solid", color="blue", weight=9]; 1095 -> 717[label="",style="solid", color="blue", weight=3]; 1096[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1096[label="",style="solid", color="blue", weight=9]; 1096 -> 718[label="",style="solid", color="blue", weight=3]; 1097[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 719[label="",style="solid", color="blue", weight=3]; 1098[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 720[label="",style="solid", color="blue", weight=3]; 1099[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1099[label="",style="solid", color="blue", weight=9]; 1099 -> 721[label="",style="solid", color="blue", weight=3]; 1100[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1100[label="",style="solid", color="blue", weight=9]; 1100 -> 722[label="",style="solid", color="blue", weight=3]; 1101[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1101[label="",style="solid", color="blue", weight=9]; 1101 -> 723[label="",style="solid", color="blue", weight=3]; 1102[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1102[label="",style="solid", color="blue", weight=9]; 1102 -> 724[label="",style="solid", color="blue", weight=3]; 1103[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1103[label="",style="solid", color="blue", weight=9]; 1103 -> 725[label="",style="solid", color="blue", weight=3]; 1104[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];612 -> 1104[label="",style="solid", color="blue", weight=9]; 1104 -> 726[label="",style="solid", color="blue", weight=3]; 613[label="xv311 == xv411",fontsize=16,color="blue",shape="box"];1105[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1105[label="",style="solid", color="blue", weight=9]; 1105 -> 727[label="",style="solid", color="blue", weight=3]; 1106[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1106[label="",style="solid", color="blue", weight=9]; 1106 -> 728[label="",style="solid", color="blue", weight=3]; 1107[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1107[label="",style="solid", color="blue", weight=9]; 1107 -> 729[label="",style="solid", color="blue", weight=3]; 1108[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1108[label="",style="solid", color="blue", weight=9]; 1108 -> 730[label="",style="solid", color="blue", weight=3]; 1109[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1109[label="",style="solid", color="blue", weight=9]; 1109 -> 731[label="",style="solid", color="blue", weight=3]; 1110[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1110[label="",style="solid", color="blue", weight=9]; 1110 -> 732[label="",style="solid", color="blue", weight=3]; 1111[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1111[label="",style="solid", color="blue", weight=9]; 1111 -> 733[label="",style="solid", color="blue", weight=3]; 1112[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1112[label="",style="solid", color="blue", weight=9]; 1112 -> 734[label="",style="solid", color="blue", weight=3]; 1113[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1113[label="",style="solid", color="blue", weight=9]; 1113 -> 735[label="",style="solid", color="blue", weight=3]; 1114[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1114[label="",style="solid", color="blue", weight=9]; 1114 -> 736[label="",style="solid", color="blue", weight=3]; 1115[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1115[label="",style="solid", color="blue", weight=9]; 1115 -> 737[label="",style="solid", color="blue", weight=3]; 1116[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1116[label="",style="solid", color="blue", weight=9]; 1116 -> 738[label="",style="solid", color="blue", weight=3]; 1117[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1117[label="",style="solid", color="blue", weight=9]; 1117 -> 739[label="",style="solid", color="blue", weight=3]; 1118[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];613 -> 1118[label="",style="solid", color="blue", weight=9]; 1118 -> 740[label="",style="solid", color="blue", weight=3]; 614 -> 322[label="",style="dashed", color="red", weight=0]; 614[label="xv310 == xv410",fontsize=16,color="magenta"];614 -> 741[label="",style="dashed", color="magenta", weight=3]; 614 -> 742[label="",style="dashed", color="magenta", weight=3]; 615 -> 323[label="",style="dashed", color="red", weight=0]; 615[label="xv310 == xv410",fontsize=16,color="magenta"];615 -> 743[label="",style="dashed", color="magenta", weight=3]; 615 -> 744[label="",style="dashed", color="magenta", weight=3]; 616 -> 88[label="",style="dashed", color="red", weight=0]; 616[label="xv310 == xv410",fontsize=16,color="magenta"];616 -> 745[label="",style="dashed", color="magenta", weight=3]; 616 -> 746[label="",style="dashed", color="magenta", weight=3]; 617 -> 325[label="",style="dashed", color="red", weight=0]; 617[label="xv310 == xv410",fontsize=16,color="magenta"];617 -> 747[label="",style="dashed", color="magenta", weight=3]; 617 -> 748[label="",style="dashed", color="magenta", weight=3]; 618 -> 326[label="",style="dashed", color="red", weight=0]; 618[label="xv310 == xv410",fontsize=16,color="magenta"];618 -> 749[label="",style="dashed", color="magenta", weight=3]; 618 -> 750[label="",style="dashed", color="magenta", weight=3]; 619 -> 327[label="",style="dashed", color="red", weight=0]; 619[label="xv310 == xv410",fontsize=16,color="magenta"];619 -> 751[label="",style="dashed", color="magenta", weight=3]; 619 -> 752[label="",style="dashed", color="magenta", weight=3]; 620 -> 328[label="",style="dashed", color="red", weight=0]; 620[label="xv310 == xv410",fontsize=16,color="magenta"];620 -> 753[label="",style="dashed", color="magenta", weight=3]; 620 -> 754[label="",style="dashed", color="magenta", weight=3]; 621 -> 329[label="",style="dashed", color="red", weight=0]; 621[label="xv310 == xv410",fontsize=16,color="magenta"];621 -> 755[label="",style="dashed", color="magenta", weight=3]; 621 -> 756[label="",style="dashed", color="magenta", weight=3]; 622 -> 330[label="",style="dashed", color="red", weight=0]; 622[label="xv310 == xv410",fontsize=16,color="magenta"];622 -> 757[label="",style="dashed", color="magenta", weight=3]; 622 -> 758[label="",style="dashed", color="magenta", weight=3]; 623 -> 331[label="",style="dashed", color="red", weight=0]; 623[label="xv310 == xv410",fontsize=16,color="magenta"];623 -> 759[label="",style="dashed", color="magenta", weight=3]; 623 -> 760[label="",style="dashed", color="magenta", weight=3]; 624 -> 332[label="",style="dashed", color="red", weight=0]; 624[label="xv310 == xv410",fontsize=16,color="magenta"];624 -> 761[label="",style="dashed", color="magenta", weight=3]; 624 -> 762[label="",style="dashed", color="magenta", weight=3]; 625 -> 333[label="",style="dashed", color="red", weight=0]; 625[label="xv310 == xv410",fontsize=16,color="magenta"];625 -> 763[label="",style="dashed", color="magenta", weight=3]; 625 -> 764[label="",style="dashed", color="magenta", weight=3]; 626 -> 334[label="",style="dashed", color="red", weight=0]; 626[label="xv310 == xv410",fontsize=16,color="magenta"];626 -> 765[label="",style="dashed", color="magenta", weight=3]; 626 -> 766[label="",style="dashed", color="magenta", weight=3]; 627 -> 335[label="",style="dashed", color="red", weight=0]; 627[label="xv310 == xv410",fontsize=16,color="magenta"];627 -> 767[label="",style="dashed", color="magenta", weight=3]; 627 -> 768[label="",style="dashed", color="magenta", weight=3]; 628[label="xv310",fontsize=16,color="green",shape="box"];629[label="xv410",fontsize=16,color="green",shape="box"];630[label="xv310",fontsize=16,color="green",shape="box"];631[label="xv410",fontsize=16,color="green",shape="box"];632[label="xv310",fontsize=16,color="green",shape="box"];633[label="xv410",fontsize=16,color="green",shape="box"];634[label="xv310",fontsize=16,color="green",shape="box"];635[label="xv410",fontsize=16,color="green",shape="box"];636[label="xv310",fontsize=16,color="green",shape="box"];637[label="xv410",fontsize=16,color="green",shape="box"];638[label="xv310",fontsize=16,color="green",shape="box"];639[label="xv410",fontsize=16,color="green",shape="box"];640[label="xv310",fontsize=16,color="green",shape="box"];641[label="xv410",fontsize=16,color="green",shape="box"];642[label="xv310",fontsize=16,color="green",shape="box"];643[label="xv410",fontsize=16,color="green",shape="box"];644[label="xv310",fontsize=16,color="green",shape="box"];645[label="xv410",fontsize=16,color="green",shape="box"];646[label="xv310",fontsize=16,color="green",shape="box"];647[label="xv410",fontsize=16,color="green",shape="box"];648[label="xv310",fontsize=16,color="green",shape="box"];649[label="xv410",fontsize=16,color="green",shape="box"];650[label="xv310",fontsize=16,color="green",shape="box"];651[label="xv410",fontsize=16,color="green",shape="box"];652[label="xv310",fontsize=16,color="green",shape="box"];653[label="xv410",fontsize=16,color="green",shape="box"];654[label="xv310",fontsize=16,color="green",shape="box"];655[label="xv410",fontsize=16,color="green",shape="box"];656[label="primEqInt (Pos (Succ xv3100)) (Pos (Succ xv4100))",fontsize=16,color="black",shape="box"];656 -> 769[label="",style="solid", color="black", weight=3]; 657[label="primEqInt (Pos (Succ xv3100)) (Pos Zero)",fontsize=16,color="black",shape="box"];657 -> 770[label="",style="solid", color="black", weight=3]; 658[label="False",fontsize=16,color="green",shape="box"];659[label="primEqInt (Pos Zero) (Pos (Succ xv4100))",fontsize=16,color="black",shape="box"];659 -> 771[label="",style="solid", color="black", weight=3]; 660[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];660 -> 772[label="",style="solid", color="black", weight=3]; 661[label="primEqInt (Pos Zero) (Neg (Succ xv4100))",fontsize=16,color="black",shape="box"];661 -> 773[label="",style="solid", color="black", weight=3]; 662[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];662 -> 774[label="",style="solid", color="black", weight=3]; 663[label="False",fontsize=16,color="green",shape="box"];664[label="primEqInt (Neg (Succ xv3100)) (Neg (Succ xv4100))",fontsize=16,color="black",shape="box"];664 -> 775[label="",style="solid", color="black", weight=3]; 665[label="primEqInt (Neg (Succ xv3100)) (Neg Zero)",fontsize=16,color="black",shape="box"];665 -> 776[label="",style="solid", color="black", weight=3]; 666[label="primEqInt (Neg Zero) (Pos (Succ xv4100))",fontsize=16,color="black",shape="box"];666 -> 777[label="",style="solid", color="black", weight=3]; 667[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];667 -> 778[label="",style="solid", color="black", weight=3]; 668[label="primEqInt (Neg Zero) (Neg (Succ xv4100))",fontsize=16,color="black",shape="box"];668 -> 779[label="",style="solid", color="black", weight=3]; 669[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];669 -> 780[label="",style="solid", color="black", weight=3]; 670[label="primEqNat (Succ xv3100) xv410",fontsize=16,color="burlywood",shape="box"];1119[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];670 -> 1119[label="",style="solid", color="burlywood", weight=9]; 1119 -> 781[label="",style="solid", color="burlywood", weight=3]; 1120[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];670 -> 1120[label="",style="solid", color="burlywood", weight=9]; 1120 -> 782[label="",style="solid", color="burlywood", weight=3]; 671[label="primEqNat Zero xv410",fontsize=16,color="burlywood",shape="box"];1121[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];671 -> 1121[label="",style="solid", color="burlywood", weight=9]; 1121 -> 783[label="",style="solid", color="burlywood", weight=3]; 1122[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];671 -> 1122[label="",style="solid", color="burlywood", weight=9]; 1122 -> 784[label="",style="solid", color="burlywood", weight=3]; 672 -> 606[label="",style="dashed", color="red", weight=0]; 672[label="xv310 * xv411",fontsize=16,color="magenta"];672 -> 785[label="",style="dashed", color="magenta", weight=3]; 672 -> 786[label="",style="dashed", color="magenta", weight=3]; 673 -> 606[label="",style="dashed", color="red", weight=0]; 673[label="xv311 * xv410",fontsize=16,color="magenta"];673 -> 787[label="",style="dashed", color="magenta", weight=3]; 673 -> 788[label="",style="dashed", color="magenta", weight=3]; 674[label="xv310",fontsize=16,color="green",shape="box"];675[label="xv410",fontsize=16,color="green",shape="box"];676[label="xv310",fontsize=16,color="green",shape="box"];677[label="xv410",fontsize=16,color="green",shape="box"];678[label="xv310",fontsize=16,color="green",shape="box"];679[label="xv410",fontsize=16,color="green",shape="box"];680[label="xv310",fontsize=16,color="green",shape="box"];681[label="xv410",fontsize=16,color="green",shape="box"];682[label="xv310",fontsize=16,color="green",shape="box"];683[label="xv410",fontsize=16,color="green",shape="box"];684[label="xv310",fontsize=16,color="green",shape="box"];685[label="xv410",fontsize=16,color="green",shape="box"];686[label="xv310",fontsize=16,color="green",shape="box"];687[label="xv410",fontsize=16,color="green",shape="box"];688[label="xv310",fontsize=16,color="green",shape="box"];689[label="xv410",fontsize=16,color="green",shape="box"];690[label="xv310",fontsize=16,color="green",shape="box"];691[label="xv410",fontsize=16,color="green",shape="box"];692[label="xv310",fontsize=16,color="green",shape="box"];693[label="xv410",fontsize=16,color="green",shape="box"];694[label="xv310",fontsize=16,color="green",shape="box"];695[label="xv410",fontsize=16,color="green",shape="box"];696[label="xv310",fontsize=16,color="green",shape="box"];697[label="xv410",fontsize=16,color="green",shape="box"];698[label="xv310",fontsize=16,color="green",shape="box"];699[label="xv410",fontsize=16,color="green",shape="box"];700[label="xv310",fontsize=16,color="green",shape="box"];701[label="xv410",fontsize=16,color="green",shape="box"];702[label="primMulInt xv310 xv411",fontsize=16,color="burlywood",shape="box"];1123[label="xv310/Pos xv3100",fontsize=10,color="white",style="solid",shape="box"];702 -> 1123[label="",style="solid", color="burlywood", weight=9]; 1123 -> 789[label="",style="solid", color="burlywood", weight=3]; 1124[label="xv310/Neg xv3100",fontsize=10,color="white",style="solid",shape="box"];702 -> 1124[label="",style="solid", color="burlywood", weight=9]; 1124 -> 790[label="",style="solid", color="burlywood", weight=3]; 703[label="xv311",fontsize=16,color="green",shape="box"];704[label="xv410",fontsize=16,color="green",shape="box"];705[label="xv311",fontsize=16,color="green",shape="box"];706[label="xv411",fontsize=16,color="green",shape="box"];707[label="xv311",fontsize=16,color="green",shape="box"];708[label="xv411",fontsize=16,color="green",shape="box"];709[label="xv310",fontsize=16,color="green",shape="box"];710[label="xv410",fontsize=16,color="green",shape="box"];711[label="xv310",fontsize=16,color="green",shape="box"];712[label="xv410",fontsize=16,color="green",shape="box"];713 -> 322[label="",style="dashed", color="red", weight=0]; 713[label="xv312 == xv412",fontsize=16,color="magenta"];713 -> 791[label="",style="dashed", color="magenta", weight=3]; 713 -> 792[label="",style="dashed", color="magenta", weight=3]; 714 -> 323[label="",style="dashed", color="red", weight=0]; 714[label="xv312 == xv412",fontsize=16,color="magenta"];714 -> 793[label="",style="dashed", color="magenta", weight=3]; 714 -> 794[label="",style="dashed", color="magenta", weight=3]; 715 -> 88[label="",style="dashed", color="red", weight=0]; 715[label="xv312 == xv412",fontsize=16,color="magenta"];715 -> 795[label="",style="dashed", color="magenta", weight=3]; 715 -> 796[label="",style="dashed", color="magenta", weight=3]; 716 -> 325[label="",style="dashed", color="red", weight=0]; 716[label="xv312 == xv412",fontsize=16,color="magenta"];716 -> 797[label="",style="dashed", color="magenta", weight=3]; 716 -> 798[label="",style="dashed", color="magenta", weight=3]; 717 -> 326[label="",style="dashed", color="red", weight=0]; 717[label="xv312 == xv412",fontsize=16,color="magenta"];717 -> 799[label="",style="dashed", color="magenta", weight=3]; 717 -> 800[label="",style="dashed", color="magenta", weight=3]; 718 -> 327[label="",style="dashed", color="red", weight=0]; 718[label="xv312 == xv412",fontsize=16,color="magenta"];718 -> 801[label="",style="dashed", color="magenta", weight=3]; 718 -> 802[label="",style="dashed", color="magenta", weight=3]; 719 -> 328[label="",style="dashed", color="red", weight=0]; 719[label="xv312 == xv412",fontsize=16,color="magenta"];719 -> 803[label="",style="dashed", color="magenta", weight=3]; 719 -> 804[label="",style="dashed", color="magenta", weight=3]; 720 -> 329[label="",style="dashed", color="red", weight=0]; 720[label="xv312 == xv412",fontsize=16,color="magenta"];720 -> 805[label="",style="dashed", color="magenta", weight=3]; 720 -> 806[label="",style="dashed", color="magenta", weight=3]; 721 -> 330[label="",style="dashed", color="red", weight=0]; 721[label="xv312 == xv412",fontsize=16,color="magenta"];721 -> 807[label="",style="dashed", color="magenta", weight=3]; 721 -> 808[label="",style="dashed", color="magenta", weight=3]; 722 -> 331[label="",style="dashed", color="red", weight=0]; 722[label="xv312 == xv412",fontsize=16,color="magenta"];722 -> 809[label="",style="dashed", color="magenta", weight=3]; 722 -> 810[label="",style="dashed", color="magenta", weight=3]; 723 -> 332[label="",style="dashed", color="red", weight=0]; 723[label="xv312 == xv412",fontsize=16,color="magenta"];723 -> 811[label="",style="dashed", color="magenta", weight=3]; 723 -> 812[label="",style="dashed", color="magenta", weight=3]; 724 -> 333[label="",style="dashed", color="red", weight=0]; 724[label="xv312 == xv412",fontsize=16,color="magenta"];724 -> 813[label="",style="dashed", color="magenta", weight=3]; 724 -> 814[label="",style="dashed", color="magenta", weight=3]; 725 -> 334[label="",style="dashed", color="red", weight=0]; 725[label="xv312 == xv412",fontsize=16,color="magenta"];725 -> 815[label="",style="dashed", color="magenta", weight=3]; 725 -> 816[label="",style="dashed", color="magenta", weight=3]; 726 -> 335[label="",style="dashed", color="red", weight=0]; 726[label="xv312 == xv412",fontsize=16,color="magenta"];726 -> 817[label="",style="dashed", color="magenta", weight=3]; 726 -> 818[label="",style="dashed", color="magenta", weight=3]; 727 -> 322[label="",style="dashed", color="red", weight=0]; 727[label="xv311 == xv411",fontsize=16,color="magenta"];727 -> 819[label="",style="dashed", color="magenta", weight=3]; 727 -> 820[label="",style="dashed", color="magenta", weight=3]; 728 -> 323[label="",style="dashed", color="red", weight=0]; 728[label="xv311 == xv411",fontsize=16,color="magenta"];728 -> 821[label="",style="dashed", color="magenta", weight=3]; 728 -> 822[label="",style="dashed", color="magenta", weight=3]; 729 -> 88[label="",style="dashed", color="red", weight=0]; 729[label="xv311 == xv411",fontsize=16,color="magenta"];729 -> 823[label="",style="dashed", color="magenta", weight=3]; 729 -> 824[label="",style="dashed", color="magenta", weight=3]; 730 -> 325[label="",style="dashed", color="red", weight=0]; 730[label="xv311 == xv411",fontsize=16,color="magenta"];730 -> 825[label="",style="dashed", color="magenta", weight=3]; 730 -> 826[label="",style="dashed", color="magenta", weight=3]; 731 -> 326[label="",style="dashed", color="red", weight=0]; 731[label="xv311 == xv411",fontsize=16,color="magenta"];731 -> 827[label="",style="dashed", color="magenta", weight=3]; 731 -> 828[label="",style="dashed", color="magenta", weight=3]; 732 -> 327[label="",style="dashed", color="red", weight=0]; 732[label="xv311 == xv411",fontsize=16,color="magenta"];732 -> 829[label="",style="dashed", color="magenta", weight=3]; 732 -> 830[label="",style="dashed", color="magenta", weight=3]; 733 -> 328[label="",style="dashed", color="red", weight=0]; 733[label="xv311 == xv411",fontsize=16,color="magenta"];733 -> 831[label="",style="dashed", color="magenta", weight=3]; 733 -> 832[label="",style="dashed", color="magenta", weight=3]; 734 -> 329[label="",style="dashed", color="red", weight=0]; 734[label="xv311 == xv411",fontsize=16,color="magenta"];734 -> 833[label="",style="dashed", color="magenta", weight=3]; 734 -> 834[label="",style="dashed", color="magenta", weight=3]; 735 -> 330[label="",style="dashed", color="red", weight=0]; 735[label="xv311 == xv411",fontsize=16,color="magenta"];735 -> 835[label="",style="dashed", color="magenta", weight=3]; 735 -> 836[label="",style="dashed", color="magenta", weight=3]; 736 -> 331[label="",style="dashed", color="red", weight=0]; 736[label="xv311 == xv411",fontsize=16,color="magenta"];736 -> 837[label="",style="dashed", color="magenta", weight=3]; 736 -> 838[label="",style="dashed", color="magenta", weight=3]; 737 -> 332[label="",style="dashed", color="red", weight=0]; 737[label="xv311 == xv411",fontsize=16,color="magenta"];737 -> 839[label="",style="dashed", color="magenta", weight=3]; 737 -> 840[label="",style="dashed", color="magenta", weight=3]; 738 -> 333[label="",style="dashed", color="red", weight=0]; 738[label="xv311 == xv411",fontsize=16,color="magenta"];738 -> 841[label="",style="dashed", color="magenta", weight=3]; 738 -> 842[label="",style="dashed", color="magenta", weight=3]; 739 -> 334[label="",style="dashed", color="red", weight=0]; 739[label="xv311 == xv411",fontsize=16,color="magenta"];739 -> 843[label="",style="dashed", color="magenta", weight=3]; 739 -> 844[label="",style="dashed", color="magenta", weight=3]; 740 -> 335[label="",style="dashed", color="red", weight=0]; 740[label="xv311 == xv411",fontsize=16,color="magenta"];740 -> 845[label="",style="dashed", color="magenta", weight=3]; 740 -> 846[label="",style="dashed", color="magenta", weight=3]; 741[label="xv310",fontsize=16,color="green",shape="box"];742[label="xv410",fontsize=16,color="green",shape="box"];743[label="xv310",fontsize=16,color="green",shape="box"];744[label="xv410",fontsize=16,color="green",shape="box"];745[label="xv310",fontsize=16,color="green",shape="box"];746[label="xv410",fontsize=16,color="green",shape="box"];747[label="xv310",fontsize=16,color="green",shape="box"];748[label="xv410",fontsize=16,color="green",shape="box"];749[label="xv310",fontsize=16,color="green",shape="box"];750[label="xv410",fontsize=16,color="green",shape="box"];751[label="xv310",fontsize=16,color="green",shape="box"];752[label="xv410",fontsize=16,color="green",shape="box"];753[label="xv310",fontsize=16,color="green",shape="box"];754[label="xv410",fontsize=16,color="green",shape="box"];755[label="xv310",fontsize=16,color="green",shape="box"];756[label="xv410",fontsize=16,color="green",shape="box"];757[label="xv310",fontsize=16,color="green",shape="box"];758[label="xv410",fontsize=16,color="green",shape="box"];759[label="xv310",fontsize=16,color="green",shape="box"];760[label="xv410",fontsize=16,color="green",shape="box"];761[label="xv310",fontsize=16,color="green",shape="box"];762[label="xv410",fontsize=16,color="green",shape="box"];763[label="xv310",fontsize=16,color="green",shape="box"];764[label="xv410",fontsize=16,color="green",shape="box"];765[label="xv310",fontsize=16,color="green",shape="box"];766[label="xv410",fontsize=16,color="green",shape="box"];767[label="xv310",fontsize=16,color="green",shape="box"];768[label="xv410",fontsize=16,color="green",shape="box"];769 -> 532[label="",style="dashed", color="red", weight=0]; 769[label="primEqNat xv3100 xv4100",fontsize=16,color="magenta"];769 -> 847[label="",style="dashed", color="magenta", weight=3]; 769 -> 848[label="",style="dashed", color="magenta", weight=3]; 770[label="False",fontsize=16,color="green",shape="box"];771[label="False",fontsize=16,color="green",shape="box"];772[label="True",fontsize=16,color="green",shape="box"];773[label="False",fontsize=16,color="green",shape="box"];774[label="True",fontsize=16,color="green",shape="box"];775 -> 532[label="",style="dashed", color="red", weight=0]; 775[label="primEqNat xv3100 xv4100",fontsize=16,color="magenta"];775 -> 849[label="",style="dashed", color="magenta", weight=3]; 775 -> 850[label="",style="dashed", color="magenta", weight=3]; 776[label="False",fontsize=16,color="green",shape="box"];777[label="False",fontsize=16,color="green",shape="box"];778[label="True",fontsize=16,color="green",shape="box"];779[label="False",fontsize=16,color="green",shape="box"];780[label="True",fontsize=16,color="green",shape="box"];781[label="primEqNat (Succ xv3100) (Succ xv4100)",fontsize=16,color="black",shape="box"];781 -> 851[label="",style="solid", color="black", weight=3]; 782[label="primEqNat (Succ xv3100) Zero",fontsize=16,color="black",shape="box"];782 -> 852[label="",style="solid", color="black", weight=3]; 783[label="primEqNat Zero (Succ xv4100)",fontsize=16,color="black",shape="box"];783 -> 853[label="",style="solid", color="black", weight=3]; 784[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];784 -> 854[label="",style="solid", color="black", weight=3]; 785[label="xv310",fontsize=16,color="green",shape="box"];786[label="xv411",fontsize=16,color="green",shape="box"];787[label="xv311",fontsize=16,color="green",shape="box"];788[label="xv410",fontsize=16,color="green",shape="box"];789[label="primMulInt (Pos xv3100) xv411",fontsize=16,color="burlywood",shape="box"];1125[label="xv411/Pos xv4110",fontsize=10,color="white",style="solid",shape="box"];789 -> 1125[label="",style="solid", color="burlywood", weight=9]; 1125 -> 855[label="",style="solid", color="burlywood", weight=3]; 1126[label="xv411/Neg xv4110",fontsize=10,color="white",style="solid",shape="box"];789 -> 1126[label="",style="solid", color="burlywood", weight=9]; 1126 -> 856[label="",style="solid", color="burlywood", weight=3]; 790[label="primMulInt (Neg xv3100) xv411",fontsize=16,color="burlywood",shape="box"];1127[label="xv411/Pos xv4110",fontsize=10,color="white",style="solid",shape="box"];790 -> 1127[label="",style="solid", color="burlywood", weight=9]; 1127 -> 857[label="",style="solid", color="burlywood", weight=3]; 1128[label="xv411/Neg xv4110",fontsize=10,color="white",style="solid",shape="box"];790 -> 1128[label="",style="solid", color="burlywood", weight=9]; 1128 -> 858[label="",style="solid", color="burlywood", weight=3]; 791[label="xv312",fontsize=16,color="green",shape="box"];792[label="xv412",fontsize=16,color="green",shape="box"];793[label="xv312",fontsize=16,color="green",shape="box"];794[label="xv412",fontsize=16,color="green",shape="box"];795[label="xv312",fontsize=16,color="green",shape="box"];796[label="xv412",fontsize=16,color="green",shape="box"];797[label="xv312",fontsize=16,color="green",shape="box"];798[label="xv412",fontsize=16,color="green",shape="box"];799[label="xv312",fontsize=16,color="green",shape="box"];800[label="xv412",fontsize=16,color="green",shape="box"];801[label="xv312",fontsize=16,color="green",shape="box"];802[label="xv412",fontsize=16,color="green",shape="box"];803[label="xv312",fontsize=16,color="green",shape="box"];804[label="xv412",fontsize=16,color="green",shape="box"];805[label="xv312",fontsize=16,color="green",shape="box"];806[label="xv412",fontsize=16,color="green",shape="box"];807[label="xv312",fontsize=16,color="green",shape="box"];808[label="xv412",fontsize=16,color="green",shape="box"];809[label="xv312",fontsize=16,color="green",shape="box"];810[label="xv412",fontsize=16,color="green",shape="box"];811[label="xv312",fontsize=16,color="green",shape="box"];812[label="xv412",fontsize=16,color="green",shape="box"];813[label="xv312",fontsize=16,color="green",shape="box"];814[label="xv412",fontsize=16,color="green",shape="box"];815[label="xv312",fontsize=16,color="green",shape="box"];816[label="xv412",fontsize=16,color="green",shape="box"];817[label="xv312",fontsize=16,color="green",shape="box"];818[label="xv412",fontsize=16,color="green",shape="box"];819[label="xv311",fontsize=16,color="green",shape="box"];820[label="xv411",fontsize=16,color="green",shape="box"];821[label="xv311",fontsize=16,color="green",shape="box"];822[label="xv411",fontsize=16,color="green",shape="box"];823[label="xv311",fontsize=16,color="green",shape="box"];824[label="xv411",fontsize=16,color="green",shape="box"];825[label="xv311",fontsize=16,color="green",shape="box"];826[label="xv411",fontsize=16,color="green",shape="box"];827[label="xv311",fontsize=16,color="green",shape="box"];828[label="xv411",fontsize=16,color="green",shape="box"];829[label="xv311",fontsize=16,color="green",shape="box"];830[label="xv411",fontsize=16,color="green",shape="box"];831[label="xv311",fontsize=16,color="green",shape="box"];832[label="xv411",fontsize=16,color="green",shape="box"];833[label="xv311",fontsize=16,color="green",shape="box"];834[label="xv411",fontsize=16,color="green",shape="box"];835[label="xv311",fontsize=16,color="green",shape="box"];836[label="xv411",fontsize=16,color="green",shape="box"];837[label="xv311",fontsize=16,color="green",shape="box"];838[label="xv411",fontsize=16,color="green",shape="box"];839[label="xv311",fontsize=16,color="green",shape="box"];840[label="xv411",fontsize=16,color="green",shape="box"];841[label="xv311",fontsize=16,color="green",shape="box"];842[label="xv411",fontsize=16,color="green",shape="box"];843[label="xv311",fontsize=16,color="green",shape="box"];844[label="xv411",fontsize=16,color="green",shape="box"];845[label="xv311",fontsize=16,color="green",shape="box"];846[label="xv411",fontsize=16,color="green",shape="box"];847[label="xv3100",fontsize=16,color="green",shape="box"];848[label="xv4100",fontsize=16,color="green",shape="box"];849[label="xv3100",fontsize=16,color="green",shape="box"];850[label="xv4100",fontsize=16,color="green",shape="box"];851 -> 532[label="",style="dashed", color="red", weight=0]; 851[label="primEqNat xv3100 xv4100",fontsize=16,color="magenta"];851 -> 859[label="",style="dashed", color="magenta", weight=3]; 851 -> 860[label="",style="dashed", color="magenta", weight=3]; 852[label="False",fontsize=16,color="green",shape="box"];853[label="False",fontsize=16,color="green",shape="box"];854[label="True",fontsize=16,color="green",shape="box"];855[label="primMulInt (Pos xv3100) (Pos xv4110)",fontsize=16,color="black",shape="box"];855 -> 861[label="",style="solid", color="black", weight=3]; 856[label="primMulInt (Pos xv3100) (Neg xv4110)",fontsize=16,color="black",shape="box"];856 -> 862[label="",style="solid", color="black", weight=3]; 857[label="primMulInt (Neg xv3100) (Pos xv4110)",fontsize=16,color="black",shape="box"];857 -> 863[label="",style="solid", color="black", weight=3]; 858[label="primMulInt (Neg xv3100) (Neg xv4110)",fontsize=16,color="black",shape="box"];858 -> 864[label="",style="solid", color="black", weight=3]; 859[label="xv3100",fontsize=16,color="green",shape="box"];860[label="xv4100",fontsize=16,color="green",shape="box"];861[label="Pos (primMulNat xv3100 xv4110)",fontsize=16,color="green",shape="box"];861 -> 865[label="",style="dashed", color="green", weight=3]; 862[label="Neg (primMulNat xv3100 xv4110)",fontsize=16,color="green",shape="box"];862 -> 866[label="",style="dashed", color="green", weight=3]; 863[label="Neg (primMulNat xv3100 xv4110)",fontsize=16,color="green",shape="box"];863 -> 867[label="",style="dashed", color="green", weight=3]; 864[label="Pos (primMulNat xv3100 xv4110)",fontsize=16,color="green",shape="box"];864 -> 868[label="",style="dashed", color="green", weight=3]; 865[label="primMulNat xv3100 xv4110",fontsize=16,color="burlywood",shape="triangle"];1129[label="xv3100/Succ xv31000",fontsize=10,color="white",style="solid",shape="box"];865 -> 1129[label="",style="solid", color="burlywood", weight=9]; 1129 -> 869[label="",style="solid", color="burlywood", weight=3]; 1130[label="xv3100/Zero",fontsize=10,color="white",style="solid",shape="box"];865 -> 1130[label="",style="solid", color="burlywood", weight=9]; 1130 -> 870[label="",style="solid", color="burlywood", weight=3]; 866 -> 865[label="",style="dashed", color="red", weight=0]; 866[label="primMulNat xv3100 xv4110",fontsize=16,color="magenta"];866 -> 871[label="",style="dashed", color="magenta", weight=3]; 867 -> 865[label="",style="dashed", color="red", weight=0]; 867[label="primMulNat xv3100 xv4110",fontsize=16,color="magenta"];867 -> 872[label="",style="dashed", color="magenta", weight=3]; 868 -> 865[label="",style="dashed", color="red", weight=0]; 868[label="primMulNat xv3100 xv4110",fontsize=16,color="magenta"];868 -> 873[label="",style="dashed", color="magenta", weight=3]; 868 -> 874[label="",style="dashed", color="magenta", weight=3]; 869[label="primMulNat (Succ xv31000) xv4110",fontsize=16,color="burlywood",shape="box"];1131[label="xv4110/Succ xv41100",fontsize=10,color="white",style="solid",shape="box"];869 -> 1131[label="",style="solid", color="burlywood", weight=9]; 1131 -> 875[label="",style="solid", color="burlywood", weight=3]; 1132[label="xv4110/Zero",fontsize=10,color="white",style="solid",shape="box"];869 -> 1132[label="",style="solid", color="burlywood", weight=9]; 1132 -> 876[label="",style="solid", color="burlywood", weight=3]; 870[label="primMulNat Zero xv4110",fontsize=16,color="burlywood",shape="box"];1133[label="xv4110/Succ xv41100",fontsize=10,color="white",style="solid",shape="box"];870 -> 1133[label="",style="solid", color="burlywood", weight=9]; 1133 -> 877[label="",style="solid", color="burlywood", weight=3]; 1134[label="xv4110/Zero",fontsize=10,color="white",style="solid",shape="box"];870 -> 1134[label="",style="solid", color="burlywood", weight=9]; 1134 -> 878[label="",style="solid", color="burlywood", weight=3]; 871[label="xv4110",fontsize=16,color="green",shape="box"];872[label="xv3100",fontsize=16,color="green",shape="box"];873[label="xv4110",fontsize=16,color="green",shape="box"];874[label="xv3100",fontsize=16,color="green",shape="box"];875[label="primMulNat (Succ xv31000) (Succ xv41100)",fontsize=16,color="black",shape="box"];875 -> 879[label="",style="solid", color="black", weight=3]; 876[label="primMulNat (Succ xv31000) Zero",fontsize=16,color="black",shape="box"];876 -> 880[label="",style="solid", color="black", weight=3]; 877[label="primMulNat Zero (Succ xv41100)",fontsize=16,color="black",shape="box"];877 -> 881[label="",style="solid", color="black", weight=3]; 878[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];878 -> 882[label="",style="solid", color="black", weight=3]; 879 -> 883[label="",style="dashed", color="red", weight=0]; 879[label="primPlusNat (primMulNat xv31000 (Succ xv41100)) (Succ xv41100)",fontsize=16,color="magenta"];879 -> 884[label="",style="dashed", color="magenta", weight=3]; 880[label="Zero",fontsize=16,color="green",shape="box"];881[label="Zero",fontsize=16,color="green",shape="box"];882[label="Zero",fontsize=16,color="green",shape="box"];884 -> 865[label="",style="dashed", color="red", weight=0]; 884[label="primMulNat xv31000 (Succ xv41100)",fontsize=16,color="magenta"];884 -> 885[label="",style="dashed", color="magenta", weight=3]; 884 -> 886[label="",style="dashed", color="magenta", weight=3]; 883[label="primPlusNat xv28 (Succ xv41100)",fontsize=16,color="burlywood",shape="triangle"];1135[label="xv28/Succ xv280",fontsize=10,color="white",style="solid",shape="box"];883 -> 1135[label="",style="solid", color="burlywood", weight=9]; 1135 -> 887[label="",style="solid", color="burlywood", weight=3]; 1136[label="xv28/Zero",fontsize=10,color="white",style="solid",shape="box"];883 -> 1136[label="",style="solid", color="burlywood", weight=9]; 1136 -> 888[label="",style="solid", color="burlywood", weight=3]; 885[label="Succ xv41100",fontsize=16,color="green",shape="box"];886[label="xv31000",fontsize=16,color="green",shape="box"];887[label="primPlusNat (Succ xv280) (Succ xv41100)",fontsize=16,color="black",shape="box"];887 -> 889[label="",style="solid", color="black", weight=3]; 888[label="primPlusNat Zero (Succ xv41100)",fontsize=16,color="black",shape="box"];888 -> 890[label="",style="solid", color="black", weight=3]; 889[label="Succ (Succ (primPlusNat xv280 xv41100))",fontsize=16,color="green",shape="box"];889 -> 891[label="",style="dashed", color="green", weight=3]; 890[label="Succ xv41100",fontsize=16,color="green",shape="box"];891[label="primPlusNat xv280 xv41100",fontsize=16,color="burlywood",shape="triangle"];1137[label="xv280/Succ xv2800",fontsize=10,color="white",style="solid",shape="box"];891 -> 1137[label="",style="solid", color="burlywood", weight=9]; 1137 -> 892[label="",style="solid", color="burlywood", weight=3]; 1138[label="xv280/Zero",fontsize=10,color="white",style="solid",shape="box"];891 -> 1138[label="",style="solid", color="burlywood", weight=9]; 1138 -> 893[label="",style="solid", color="burlywood", weight=3]; 892[label="primPlusNat (Succ xv2800) xv41100",fontsize=16,color="burlywood",shape="box"];1139[label="xv41100/Succ xv411000",fontsize=10,color="white",style="solid",shape="box"];892 -> 1139[label="",style="solid", color="burlywood", weight=9]; 1139 -> 894[label="",style="solid", color="burlywood", weight=3]; 1140[label="xv41100/Zero",fontsize=10,color="white",style="solid",shape="box"];892 -> 1140[label="",style="solid", color="burlywood", weight=9]; 1140 -> 895[label="",style="solid", color="burlywood", weight=3]; 893[label="primPlusNat Zero xv41100",fontsize=16,color="burlywood",shape="box"];1141[label="xv41100/Succ xv411000",fontsize=10,color="white",style="solid",shape="box"];893 -> 1141[label="",style="solid", color="burlywood", weight=9]; 1141 -> 896[label="",style="solid", color="burlywood", weight=3]; 1142[label="xv41100/Zero",fontsize=10,color="white",style="solid",shape="box"];893 -> 1142[label="",style="solid", color="burlywood", weight=9]; 1142 -> 897[label="",style="solid", color="burlywood", weight=3]; 894[label="primPlusNat (Succ xv2800) (Succ xv411000)",fontsize=16,color="black",shape="box"];894 -> 898[label="",style="solid", color="black", weight=3]; 895[label="primPlusNat (Succ xv2800) Zero",fontsize=16,color="black",shape="box"];895 -> 899[label="",style="solid", color="black", weight=3]; 896[label="primPlusNat Zero (Succ xv411000)",fontsize=16,color="black",shape="box"];896 -> 900[label="",style="solid", color="black", weight=3]; 897[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];897 -> 901[label="",style="solid", color="black", weight=3]; 898[label="Succ (Succ (primPlusNat xv2800 xv411000))",fontsize=16,color="green",shape="box"];898 -> 902[label="",style="dashed", color="green", weight=3]; 899[label="Succ xv2800",fontsize=16,color="green",shape="box"];900[label="Succ xv411000",fontsize=16,color="green",shape="box"];901[label="Zero",fontsize=16,color="green",shape="box"];902 -> 891[label="",style="dashed", color="red", weight=0]; 902[label="primPlusNat xv2800 xv411000",fontsize=16,color="magenta"];902 -> 903[label="",style="dashed", color="magenta", weight=3]; 902 -> 904[label="",style="dashed", color="magenta", weight=3]; 903[label="xv2800",fontsize=16,color="green",shape="box"];904[label="xv411000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(app(ty_@2, hb), hc), gh) -> new_esEs1(xv311, xv411, hb, hc) new_esEs(Left(xv310), Left(xv410), app(ty_[], bc), bb) -> new_esEs0(xv310, xv410, bc) new_esEs(Left(xv310), Left(xv410), app(ty_Maybe, ca), bb) -> new_esEs3(xv310, xv410, ca) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(ty_Maybe, ge))) -> new_esEs3(xv312, xv412, ge) new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(app(ty_Either, bba), bbb))) -> new_esEs(xv310, xv410, bba, bbb) new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(ty_[], bc)), bb)) -> new_esEs0(xv310, xv410, bc) new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(ty_[], dh))) -> new_esEs0(xv310, xv410, dh) new_esEs(Left(xv310), Left(xv410), app(app(app(ty_@3, bf), bg), bh), bb) -> new_esEs2(xv310, xv410, bf, bg, bh) new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(ty_[], ce))) -> new_esEs0(xv310, xv410, ce) new_esEs0(:(xv310, xv311), :(xv410, xv411), app(ty_[], dh)) -> new_esEs0(xv310, xv410, dh) new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(app(app(ty_@3, bf), bg), bh)), bb)) -> new_esEs2(xv310, xv410, bf, bg, bh) new_esEs(Left(xv310), Left(xv410), app(app(ty_@2, bd), be), bb) -> new_esEs1(xv310, xv410, bd, be) new_esEs0(:(xv310, xv311), :(xv410, xv411), app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xv310, xv410, ec, ed, ee) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(app(app(ty_@3, hd), he), hf), gh) -> new_esEs2(xv311, xv411, hd, he, hf) new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(app(app(ty_@3, bbf), bbg), bbh))) -> new_esEs2(xv310, xv410, bbf, bbg, bbh) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(app(ty_@3, bae), baf), bag), fc, gh) -> new_esEs2(xv310, xv410, bae, baf, bag) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(app(ty_Either, gf), gg), gh) -> new_esEs(xv311, xv411, gf, gg) new_esEs(Right(xv310), Right(xv410), cb, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv310, xv410, da, db, dc) new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(app(ty_@2, bbd), bbe))) -> new_esEs1(xv310, xv410, bbd, bbe) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(app(ty_@2, fh), ga))) -> new_esEs1(xv312, xv412, fh, ga) new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], de)) -> new_esEs0(xv311, xv411, de) new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(app(ty_@2, ea), eb))) -> new_esEs1(xv310, xv410, ea, eb) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(app(ty_@2, bac), bad)), fc), gh)) -> new_esEs1(xv310, xv410, bac, bad) new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(ty_Maybe, dd))) -> new_esEs3(xv310, xv410, dd) new_esEs0(:(xv310, xv311), :(xv410, xv411), app(ty_Maybe, ef)) -> new_esEs3(xv310, xv410, ef) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(ty_Maybe, hg)), gh)) -> new_esEs3(xv311, xv411, hg) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(app(ty_Either, gf), gg)), gh)) -> new_esEs(xv311, xv411, gf, gg) new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bdc), bcd) -> new_esEs3(xv30, xv40, bdc) new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bcf), bcg), bcd) -> new_esEs1(xv30, xv40, bcf, bcg) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(app(ty_Either, fd), ff)) -> new_esEs(xv312, xv412, fd, ff) new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bcb), bcc), bcd) -> new_esEs(xv30, xv40, bcb, bcc) new_esEs3(Just(xv310), Just(xv410), app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs2(xv310, xv410, bbf, bbg, bbh) new_esEs(Right(xv310), Right(xv410), cb, app(ty_Maybe, dd)) -> new_esEs3(xv310, xv410, dd) new_esEs0(:(xv310, xv311), :(xv410, xv411), app(app(ty_@2, ea), eb)) -> new_esEs1(xv310, xv410, ea, eb) new_esEs3(Just(xv310), Just(xv410), app(app(ty_@2, bbd), bbe)) -> new_esEs1(xv310, xv410, bbd, bbe) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_Maybe, bah), fc, gh) -> new_esEs3(xv310, xv410, bah) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(ty_[], fg)) -> new_esEs0(xv312, xv412, fg) new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(app(ty_@2, bd), be)), bb)) -> new_esEs1(xv310, xv410, bd, be) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(app(app(ty_@3, gb), gc), gd))) -> new_esEs2(xv312, xv412, gb, gc, gd) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(app(ty_@2, fh), ga)) -> new_esEs1(xv312, xv412, fh, ga) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(ty_[], bab)), fc), gh)) -> new_esEs0(xv310, xv410, bab) new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_@2, cf), cg)) -> new_esEs1(xv310, xv410, cf, cg) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(ty_Maybe, ge)) -> new_esEs3(xv312, xv412, ge) new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(app(ty_@2, cf), cg))) -> new_esEs1(xv310, xv410, cf, cg) new_esEs3(Just(xv310), Just(xv410), app(app(ty_Either, bba), bbb)) -> new_esEs(xv310, xv410, bba, bbb) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_[], bab), fc, gh) -> new_esEs0(xv310, xv410, bab) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(ty_Maybe, hg), gh) -> new_esEs3(xv311, xv411, hg) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(ty_[], ha), gh) -> new_esEs0(xv311, xv411, ha) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(app(ty_@2, hb), hc)), gh)) -> new_esEs1(xv311, xv411, hb, hc) new_esEs3(Just(xv310), Just(xv410), app(ty_Maybe, bca)) -> new_esEs3(xv310, xv410, bca) new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(app(app(ty_@3, ec), ed), ee))) -> new_esEs2(xv310, xv410, ec, ed, ee) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_Either, hh), baa), fc, gh) -> new_esEs(xv310, xv410, hh, baa) new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(ty_Maybe, ef))) -> new_esEs3(xv310, xv410, ef) new_esEs0(:(xv310, xv311), :(xv410, xv411), app(app(ty_Either, df), dg)) -> new_esEs(xv310, xv410, df, dg) new_esEs3(Just(xv310), Just(xv410), app(ty_[], bbc)) -> new_esEs0(xv310, xv410, bbc) new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(app(ty_Either, h), ba)), bb)) -> new_esEs(xv310, xv410, h, ba) new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv310, xv410, cc, cd) new_esEs0(:(xv310, xv311), :(xv410, xv411), de) -> new_esEs0(xv311, xv411, de) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(app(app(ty_@3, bae), baf), bag)), fc), gh)) -> new_esEs2(xv310, xv410, bae, baf, bag) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(app(ty_Either, hh), baa)), fc), gh)) -> new_esEs(xv310, xv410, hh, baa) new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], bce), bcd) -> new_esEs0(xv30, xv40, bce) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(app(app(ty_@3, hd), he), hf)), gh)) -> new_esEs2(xv311, xv411, hd, he, hf) new_esEs(Left(xv310), Left(xv410), app(app(ty_Either, h), ba), bb) -> new_esEs(xv310, xv410, h, ba) new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bch), bda), bdb), bcd) -> new_esEs2(xv30, xv40, bch, bda, bdb) new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(ty_[], bbc))) -> new_esEs0(xv310, xv410, bbc) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(ty_[], ha)), gh)) -> new_esEs0(xv311, xv411, ha) new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(app(ty_Either, cc), cd))) -> new_esEs(xv310, xv410, cc, cd) new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(app(ty_Either, df), dg))) -> new_esEs(xv310, xv410, df, dg) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(ty_Maybe, bah)), fc), gh)) -> new_esEs3(xv310, xv410, bah) new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(ty_Maybe, ca)), bb)) -> new_esEs3(xv310, xv410, ca) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs2(xv312, xv412, gb, gc, gd) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(ty_[], fg))) -> new_esEs0(xv312, xv412, fg) new_esEs(Right(xv310), Right(xv410), cb, app(ty_[], ce)) -> new_esEs0(xv310, xv410, ce) new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(app(ty_Either, fd), ff))) -> new_esEs(xv312, xv412, fd, ff) new_esEs1(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(ty_@2, eh), fa)) -> new_esEs1(xv31, xv41, eh, fa) new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(app(app(ty_@3, da), db), dc))) -> new_esEs2(xv310, xv410, da, db, dc) new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(ty_Maybe, bca))) -> new_esEs3(xv310, xv410, bca) new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_@2, bac), bad), fc, gh) -> new_esEs1(xv310, xv410, bac, bad) 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_esEs0(:(xv310, xv311), :(xv410, xv411), app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xv310, xv410, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xv310, xv311), :(xv410, xv411), app(app(ty_Either, df), dg)) -> new_esEs(xv310, xv410, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv310), Just(xv410), app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs2(xv310, xv410, bbf, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(xv310), Just(xv410), app(app(ty_Either, bba), bbb)) -> new_esEs(xv310, xv410, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xv310, xv311), :(xv410, xv411), app(app(ty_@2, ea), eb)) -> new_esEs1(xv310, xv410, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv310), Just(xv410), app(app(ty_@2, bbd), bbe)) -> new_esEs1(xv310, xv410, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xv310, xv311), :(xv410, xv411), app(ty_Maybe, ef)) -> new_esEs3(xv310, xv410, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv310), Just(xv410), app(ty_[], bbc)) -> new_esEs0(xv310, xv410, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv310), Just(xv410), app(ty_Maybe, bca)) -> new_esEs3(xv310, xv410, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(app(app(ty_@3, bf), bg), bh)), bb)) -> new_esEs2(xv310, xv410, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(app(app(ty_@3, bbf), bbg), bbh))) -> new_esEs2(xv310, xv410, bbf, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(app(app(ty_@3, gb), gc), gd))) -> new_esEs2(xv312, xv412, gb, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(app(app(ty_@3, ec), ed), ee))) -> new_esEs2(xv310, xv410, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(app(app(ty_@3, bae), baf), bag)), fc), gh)) -> new_esEs2(xv310, xv410, bae, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(app(app(ty_@3, hd), he), hf)), gh)) -> new_esEs2(xv311, xv411, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bch), bda), bdb), bcd) -> new_esEs2(xv30, xv40, bch, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(app(app(ty_@3, da), db), dc))) -> new_esEs2(xv310, xv410, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(app(ty_Either, bba), bbb))) -> new_esEs(xv310, xv410, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(app(ty_Either, gf), gg)), gh)) -> new_esEs(xv311, xv411, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bcb), bcc), bcd) -> new_esEs(xv30, xv40, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(app(ty_Either, h), ba)), bb)) -> new_esEs(xv310, xv410, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(app(ty_Either, hh), baa)), fc), gh)) -> new_esEs(xv310, xv410, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(app(ty_Either, cc), cd))) -> new_esEs(xv310, xv410, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(app(ty_Either, df), dg))) -> new_esEs(xv310, xv410, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(app(ty_Either, fd), ff))) -> new_esEs(xv312, xv412, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(app(ty_@2, bbd), bbe))) -> new_esEs1(xv310, xv410, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(app(ty_@2, fh), ga))) -> new_esEs1(xv312, xv412, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(app(ty_@2, ea), eb))) -> new_esEs1(xv310, xv410, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(app(ty_@2, bac), bad)), fc), gh)) -> new_esEs1(xv310, xv410, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bcf), bcg), bcd) -> new_esEs1(xv30, xv40, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(app(ty_@2, bd), be)), bb)) -> new_esEs1(xv310, xv410, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(app(ty_@2, cf), cg))) -> new_esEs1(xv310, xv410, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(app(ty_@2, hb), hc)), gh)) -> new_esEs1(xv311, xv411, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(ty_@2, eh), fa)) -> new_esEs1(xv31, xv41, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(ty_[], bc)), bb)) -> new_esEs0(xv310, xv410, bc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(ty_[], dh))) -> new_esEs0(xv310, xv410, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(ty_[], ce))) -> new_esEs0(xv310, xv410, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], de)) -> new_esEs0(xv311, xv411, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(ty_[], bab)), fc), gh)) -> new_esEs0(xv310, xv410, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], bce), bcd) -> new_esEs0(xv30, xv40, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(ty_[], bbc))) -> new_esEs0(xv310, xv410, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(ty_[], ha)), gh)) -> new_esEs0(xv311, xv411, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(ty_[], fg))) -> new_esEs0(xv312, xv412, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), fc), app(ty_Maybe, ge))) -> new_esEs3(xv312, xv412, ge) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, Right(xv310)), @2(xv40, Right(xv410)), eg, app(app(ty_Either, cb), app(ty_Maybe, dd))) -> new_esEs3(xv310, xv410, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, fb), app(ty_Maybe, hg)), gh)) -> new_esEs3(xv311, xv411, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bdc), bcd) -> new_esEs3(xv30, xv40, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv30, :(xv310, xv311)), @2(xv40, :(xv410, xv411)), eg, app(ty_[], app(ty_Maybe, ef))) -> new_esEs3(xv310, xv410, ef) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, @3(xv310, xv311, xv312)), @2(xv40, @3(xv410, xv411, xv412)), eg, app(app(app(ty_@3, app(ty_Maybe, bah)), fc), gh)) -> new_esEs3(xv310, xv410, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, Left(xv310)), @2(xv40, Left(xv410)), eg, app(app(ty_Either, app(ty_Maybe, ca)), bb)) -> new_esEs3(xv310, xv410, ca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv30, Just(xv310)), @2(xv40, Just(xv410)), eg, app(ty_Maybe, app(ty_Maybe, bca))) -> new_esEs3(xv310, xv410, bca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xv310), Left(xv410), app(app(app(ty_@3, bf), bg), bh), bb) -> new_esEs2(xv310, xv410, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xv310), Right(xv410), cb, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv310, xv410, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(app(app(ty_@3, hd), he), hf), gh) -> new_esEs2(xv311, xv411, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(app(ty_@3, bae), baf), bag), fc, gh) -> new_esEs2(xv310, xv410, bae, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs2(xv312, xv412, gb, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(:(xv310, xv311), :(xv410, xv411), app(ty_[], dh)) -> new_esEs0(xv310, xv410, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xv310, xv311), :(xv410, xv411), de) -> new_esEs0(xv311, xv411, de) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv310, xv410, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xv310), Left(xv410), app(app(ty_Either, h), ba), bb) -> new_esEs(xv310, xv410, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(app(ty_Either, gf), gg), gh) -> new_esEs(xv311, xv411, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(app(ty_Either, fd), ff)) -> new_esEs(xv312, xv412, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_Either, hh), baa), fc, gh) -> new_esEs(xv310, xv410, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(xv310), Left(xv410), app(app(ty_@2, bd), be), bb) -> new_esEs1(xv310, xv410, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv310), Right(xv410), cb, app(app(ty_@2, cf), cg)) -> new_esEs1(xv310, xv410, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(app(ty_@2, hb), hc), gh) -> new_esEs1(xv311, xv411, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(app(ty_@2, fh), ga)) -> new_esEs1(xv312, xv412, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(app(ty_@2, bac), bad), fc, gh) -> new_esEs1(xv310, xv410, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(xv310), Left(xv410), app(ty_[], bc), bb) -> new_esEs0(xv310, xv410, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xv310), Right(xv410), cb, app(ty_[], ce)) -> new_esEs0(xv310, xv410, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xv310), Left(xv410), app(ty_Maybe, ca), bb) -> new_esEs3(xv310, xv410, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xv310), Right(xv410), cb, app(ty_Maybe, dd)) -> new_esEs3(xv310, xv410, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(ty_[], fg)) -> new_esEs0(xv312, xv412, fg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_[], bab), fc, gh) -> new_esEs0(xv310, xv410, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(ty_[], ha), gh) -> new_esEs0(xv311, xv411, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), app(ty_Maybe, bah), fc, gh) -> new_esEs3(xv310, xv410, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, fc, app(ty_Maybe, ge)) -> new_esEs3(xv312, xv412, ge) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv310, xv311, xv312), @3(xv410, xv411, xv412), fb, app(ty_Maybe, hg), gh) -> new_esEs3(xv311, xv411, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv31000), Succ(xv41100)) -> new_primMulNat(xv31000, Succ(xv41100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xv31000), Succ(xv41100)) -> new_primMulNat(xv31000, Succ(xv41100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv2800), Succ(xv411000)) -> new_primPlusNat(xv2800, xv411000) 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_primPlusNat(Succ(xv2800), Succ(xv411000)) -> new_primPlusNat(xv2800, xv411000) 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_primEqNat(Succ(xv3100), Succ(xv4100)) -> new_primEqNat(xv3100, xv4100) 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_primEqNat(Succ(xv3100), Succ(xv4100)) -> new_primEqNat(xv3100, xv4100) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES