/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 43 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="notElem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="notElem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="notElem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="all . (/=)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="all ((/=) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7[label="and . map ((/=) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 8[label="and (map ((/=) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9[label="foldr (&&) True (map ((/=) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];924[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 10[label="",style="solid", color="burlywood", weight=3]; 925[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 11[label="",style="solid", color="burlywood", weight=3]; 10[label="foldr (&&) True (map ((/=) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 11[label="foldr (&&) True (map ((/=) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12[label="foldr (&&) True (((/=) xv3 xv40) : map ((/=) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 13[label="foldr (&&) True []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 14 -> 307[label="",style="dashed", color="red", weight=0]; 14[label="(&&) (/=) xv3 xv40 foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];14 -> 308[label="",style="dashed", color="magenta", weight=3]; 14 -> 309[label="",style="dashed", color="magenta", weight=3]; 15[label="True",fontsize=16,color="green",shape="box"];308 -> 9[label="",style="dashed", color="red", weight=0]; 308[label="foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];308 -> 324[label="",style="dashed", color="magenta", weight=3]; 309[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];309 -> 325[label="",style="solid", color="black", weight=3]; 307[label="xv31 && xv32",fontsize=16,color="burlywood",shape="triangle"];926[label="xv31/False",fontsize=10,color="white",style="solid",shape="box"];307 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 326[label="",style="solid", color="burlywood", weight=3]; 927[label="xv31/True",fontsize=10,color="white",style="solid",shape="box"];307 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 327[label="",style="solid", color="burlywood", weight=3]; 324[label="xv41",fontsize=16,color="green",shape="box"];325 -> 333[label="",style="dashed", color="red", weight=0]; 325[label="not (xv3 == xv40)",fontsize=16,color="magenta"];325 -> 334[label="",style="dashed", color="magenta", weight=3]; 326[label="False && xv32",fontsize=16,color="black",shape="box"];326 -> 329[label="",style="solid", color="black", weight=3]; 327[label="True && xv32",fontsize=16,color="black",shape="box"];327 -> 330[label="",style="solid", color="black", weight=3]; 334[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];928[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];334 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 336[label="",style="solid", color="burlywood", weight=3]; 333[label="not xv33",fontsize=16,color="burlywood",shape="triangle"];929[label="xv33/False",fontsize=10,color="white",style="solid",shape="box"];333 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 337[label="",style="solid", color="burlywood", weight=3]; 930[label="xv33/True",fontsize=10,color="white",style="solid",shape="box"];333 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 338[label="",style="solid", color="burlywood", weight=3]; 329[label="False",fontsize=16,color="green",shape="box"];330[label="xv32",fontsize=16,color="green",shape="box"];336[label="(xv30,xv31) == xv40",fontsize=16,color="burlywood",shape="box"];931[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];336 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 339[label="",style="solid", color="burlywood", weight=3]; 337[label="not False",fontsize=16,color="black",shape="box"];337 -> 340[label="",style="solid", color="black", weight=3]; 338[label="not True",fontsize=16,color="black",shape="box"];338 -> 341[label="",style="solid", color="black", weight=3]; 339[label="(xv30,xv31) == (xv400,xv401)",fontsize=16,color="black",shape="box"];339 -> 342[label="",style="solid", color="black", weight=3]; 340[label="True",fontsize=16,color="green",shape="box"];341[label="False",fontsize=16,color="green",shape="box"];342 -> 307[label="",style="dashed", color="red", weight=0]; 342[label="xv30 == xv400 && xv31 == xv401",fontsize=16,color="magenta"];342 -> 343[label="",style="dashed", color="magenta", weight=3]; 342 -> 344[label="",style="dashed", color="magenta", weight=3]; 343[label="xv31 == xv401",fontsize=16,color="blue",shape="box"];932[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 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"];343 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 346[label="",style="solid", color="blue", weight=3]; 934[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 347[label="",style="solid", color="blue", weight=3]; 935[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 348[label="",style="solid", color="blue", weight=3]; 936[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 349[label="",style="solid", color="blue", weight=3]; 937[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 350[label="",style="solid", color="blue", weight=3]; 938[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 351[label="",style="solid", color="blue", weight=3]; 939[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 352[label="",style="solid", color="blue", weight=3]; 940[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 353[label="",style="solid", color="blue", weight=3]; 941[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 354[label="",style="solid", color="blue", weight=3]; 942[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 355[label="",style="solid", color="blue", weight=3]; 943[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 356[label="",style="solid", color="blue", weight=3]; 944[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 944[label="",style="solid", color="blue", weight=9]; 944 -> 357[label="",style="solid", color="blue", weight=3]; 945[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];343 -> 945[label="",style="solid", color="blue", weight=9]; 945 -> 358[label="",style="solid", color="blue", weight=3]; 344[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];946[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 359[label="",style="solid", color="blue", weight=3]; 947[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 360[label="",style="solid", color="blue", weight=3]; 948[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 361[label="",style="solid", color="blue", weight=3]; 949[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 362[label="",style="solid", color="blue", weight=3]; 950[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 363[label="",style="solid", color="blue", weight=3]; 951[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 364[label="",style="solid", color="blue", weight=3]; 952[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 952[label="",style="solid", color="blue", weight=9]; 952 -> 365[label="",style="solid", color="blue", weight=3]; 953[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 366[label="",style="solid", color="blue", weight=3]; 954[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 367[label="",style="solid", color="blue", weight=3]; 955[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 368[label="",style="solid", color="blue", weight=3]; 956[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 369[label="",style="solid", color="blue", weight=3]; 957[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 370[label="",style="solid", color="blue", weight=3]; 958[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 371[label="",style="solid", color="blue", weight=3]; 959[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 372[label="",style="solid", color="blue", weight=3]; 345[label="xv31 == xv401",fontsize=16,color="black",shape="triangle"];345 -> 373[label="",style="solid", color="black", weight=3]; 346[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];960[label="xv31/LT",fontsize=10,color="white",style="solid",shape="box"];346 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 374[label="",style="solid", color="burlywood", weight=3]; 961[label="xv31/EQ",fontsize=10,color="white",style="solid",shape="box"];346 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 375[label="",style="solid", color="burlywood", weight=3]; 962[label="xv31/GT",fontsize=10,color="white",style="solid",shape="box"];346 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 376[label="",style="solid", color="burlywood", weight=3]; 347[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];963[label="xv31/xv310 : xv311",fontsize=10,color="white",style="solid",shape="box"];347 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 377[label="",style="solid", color="burlywood", weight=3]; 964[label="xv31/[]",fontsize=10,color="white",style="solid",shape="box"];347 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 378[label="",style="solid", color="burlywood", weight=3]; 348[label="xv31 == xv401",fontsize=16,color="black",shape="triangle"];348 -> 379[label="",style="solid", color="black", weight=3]; 349[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];965[label="xv31/(xv310,xv311,xv312)",fontsize=10,color="white",style="solid",shape="box"];349 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 380[label="",style="solid", color="burlywood", weight=3]; 350[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];966[label="xv31/False",fontsize=10,color="white",style="solid",shape="box"];350 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 381[label="",style="solid", color="burlywood", weight=3]; 967[label="xv31/True",fontsize=10,color="white",style="solid",shape="box"];350 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 382[label="",style="solid", color="burlywood", weight=3]; 351[label="xv31 == xv401",fontsize=16,color="black",shape="triangle"];351 -> 383[label="",style="solid", color="black", weight=3]; 352[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];968[label="xv31/Nothing",fontsize=10,color="white",style="solid",shape="box"];352 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 384[label="",style="solid", color="burlywood", weight=3]; 969[label="xv31/Just xv310",fontsize=10,color="white",style="solid",shape="box"];352 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 385[label="",style="solid", color="burlywood", weight=3]; 353[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];970[label="xv31/Left xv310",fontsize=10,color="white",style="solid",shape="box"];353 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 386[label="",style="solid", color="burlywood", weight=3]; 971[label="xv31/Right xv310",fontsize=10,color="white",style="solid",shape="box"];353 -> 971[label="",style="solid", color="burlywood", weight=9]; 971 -> 387[label="",style="solid", color="burlywood", weight=3]; 354[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];972[label="xv31/xv310 :% xv311",fontsize=10,color="white",style="solid",shape="box"];354 -> 972[label="",style="solid", color="burlywood", weight=9]; 972 -> 388[label="",style="solid", color="burlywood", weight=3]; 355[label="xv31 == xv401",fontsize=16,color="black",shape="triangle"];355 -> 389[label="",style="solid", color="black", weight=3]; 356 -> 334[label="",style="dashed", color="red", weight=0]; 356[label="xv31 == xv401",fontsize=16,color="magenta"];356 -> 390[label="",style="dashed", color="magenta", weight=3]; 356 -> 391[label="",style="dashed", color="magenta", weight=3]; 357[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];973[label="xv31/Integer xv310",fontsize=10,color="white",style="solid",shape="box"];357 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 392[label="",style="solid", color="burlywood", weight=3]; 358[label="xv31 == xv401",fontsize=16,color="burlywood",shape="triangle"];974[label="xv31/()",fontsize=10,color="white",style="solid",shape="box"];358 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 393[label="",style="solid", color="burlywood", weight=3]; 359 -> 345[label="",style="dashed", color="red", weight=0]; 359[label="xv30 == xv400",fontsize=16,color="magenta"];359 -> 394[label="",style="dashed", color="magenta", weight=3]; 359 -> 395[label="",style="dashed", color="magenta", weight=3]; 360 -> 346[label="",style="dashed", color="red", weight=0]; 360[label="xv30 == xv400",fontsize=16,color="magenta"];360 -> 396[label="",style="dashed", color="magenta", weight=3]; 360 -> 397[label="",style="dashed", color="magenta", weight=3]; 361 -> 347[label="",style="dashed", color="red", weight=0]; 361[label="xv30 == xv400",fontsize=16,color="magenta"];361 -> 398[label="",style="dashed", color="magenta", weight=3]; 361 -> 399[label="",style="dashed", color="magenta", weight=3]; 362 -> 348[label="",style="dashed", color="red", weight=0]; 362[label="xv30 == xv400",fontsize=16,color="magenta"];362 -> 400[label="",style="dashed", color="magenta", weight=3]; 362 -> 401[label="",style="dashed", color="magenta", weight=3]; 363 -> 349[label="",style="dashed", color="red", weight=0]; 363[label="xv30 == xv400",fontsize=16,color="magenta"];363 -> 402[label="",style="dashed", color="magenta", weight=3]; 363 -> 403[label="",style="dashed", color="magenta", weight=3]; 364 -> 350[label="",style="dashed", color="red", weight=0]; 364[label="xv30 == xv400",fontsize=16,color="magenta"];364 -> 404[label="",style="dashed", color="magenta", weight=3]; 364 -> 405[label="",style="dashed", color="magenta", weight=3]; 365 -> 351[label="",style="dashed", color="red", weight=0]; 365[label="xv30 == xv400",fontsize=16,color="magenta"];365 -> 406[label="",style="dashed", color="magenta", weight=3]; 365 -> 407[label="",style="dashed", color="magenta", weight=3]; 366 -> 352[label="",style="dashed", color="red", weight=0]; 366[label="xv30 == xv400",fontsize=16,color="magenta"];366 -> 408[label="",style="dashed", color="magenta", weight=3]; 366 -> 409[label="",style="dashed", color="magenta", weight=3]; 367 -> 353[label="",style="dashed", color="red", weight=0]; 367[label="xv30 == xv400",fontsize=16,color="magenta"];367 -> 410[label="",style="dashed", color="magenta", weight=3]; 367 -> 411[label="",style="dashed", color="magenta", weight=3]; 368 -> 354[label="",style="dashed", color="red", weight=0]; 368[label="xv30 == xv400",fontsize=16,color="magenta"];368 -> 412[label="",style="dashed", color="magenta", weight=3]; 368 -> 413[label="",style="dashed", color="magenta", weight=3]; 369 -> 355[label="",style="dashed", color="red", weight=0]; 369[label="xv30 == xv400",fontsize=16,color="magenta"];369 -> 414[label="",style="dashed", color="magenta", weight=3]; 369 -> 415[label="",style="dashed", color="magenta", weight=3]; 370 -> 334[label="",style="dashed", color="red", weight=0]; 370[label="xv30 == xv400",fontsize=16,color="magenta"];370 -> 416[label="",style="dashed", color="magenta", weight=3]; 370 -> 417[label="",style="dashed", color="magenta", weight=3]; 371 -> 357[label="",style="dashed", color="red", weight=0]; 371[label="xv30 == xv400",fontsize=16,color="magenta"];371 -> 418[label="",style="dashed", color="magenta", weight=3]; 371 -> 419[label="",style="dashed", color="magenta", weight=3]; 372 -> 358[label="",style="dashed", color="red", weight=0]; 372[label="xv30 == xv400",fontsize=16,color="magenta"];372 -> 420[label="",style="dashed", color="magenta", weight=3]; 372 -> 421[label="",style="dashed", color="magenta", weight=3]; 373[label="primEqDouble xv31 xv401",fontsize=16,color="burlywood",shape="box"];975[label="xv31/Double xv310 xv311",fontsize=10,color="white",style="solid",shape="box"];373 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 422[label="",style="solid", color="burlywood", weight=3]; 374[label="LT == xv401",fontsize=16,color="burlywood",shape="box"];976[label="xv401/LT",fontsize=10,color="white",style="solid",shape="box"];374 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 423[label="",style="solid", color="burlywood", weight=3]; 977[label="xv401/EQ",fontsize=10,color="white",style="solid",shape="box"];374 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 424[label="",style="solid", color="burlywood", weight=3]; 978[label="xv401/GT",fontsize=10,color="white",style="solid",shape="box"];374 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 425[label="",style="solid", color="burlywood", weight=3]; 375[label="EQ == xv401",fontsize=16,color="burlywood",shape="box"];979[label="xv401/LT",fontsize=10,color="white",style="solid",shape="box"];375 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 426[label="",style="solid", color="burlywood", weight=3]; 980[label="xv401/EQ",fontsize=10,color="white",style="solid",shape="box"];375 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 427[label="",style="solid", color="burlywood", weight=3]; 981[label="xv401/GT",fontsize=10,color="white",style="solid",shape="box"];375 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 428[label="",style="solid", color="burlywood", weight=3]; 376[label="GT == xv401",fontsize=16,color="burlywood",shape="box"];982[label="xv401/LT",fontsize=10,color="white",style="solid",shape="box"];376 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 429[label="",style="solid", color="burlywood", weight=3]; 983[label="xv401/EQ",fontsize=10,color="white",style="solid",shape="box"];376 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 430[label="",style="solid", color="burlywood", weight=3]; 984[label="xv401/GT",fontsize=10,color="white",style="solid",shape="box"];376 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 431[label="",style="solid", color="burlywood", weight=3]; 377[label="xv310 : xv311 == xv401",fontsize=16,color="burlywood",shape="box"];985[label="xv401/xv4010 : xv4011",fontsize=10,color="white",style="solid",shape="box"];377 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 432[label="",style="solid", color="burlywood", weight=3]; 986[label="xv401/[]",fontsize=10,color="white",style="solid",shape="box"];377 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 433[label="",style="solid", color="burlywood", weight=3]; 378[label="[] == xv401",fontsize=16,color="burlywood",shape="box"];987[label="xv401/xv4010 : xv4011",fontsize=10,color="white",style="solid",shape="box"];378 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 434[label="",style="solid", color="burlywood", weight=3]; 988[label="xv401/[]",fontsize=10,color="white",style="solid",shape="box"];378 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 435[label="",style="solid", color="burlywood", weight=3]; 379[label="primEqChar xv31 xv401",fontsize=16,color="burlywood",shape="box"];989[label="xv31/Char xv310",fontsize=10,color="white",style="solid",shape="box"];379 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 436[label="",style="solid", color="burlywood", weight=3]; 380[label="(xv310,xv311,xv312) == xv401",fontsize=16,color="burlywood",shape="box"];990[label="xv401/(xv4010,xv4011,xv4012)",fontsize=10,color="white",style="solid",shape="box"];380 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 437[label="",style="solid", color="burlywood", weight=3]; 381[label="False == xv401",fontsize=16,color="burlywood",shape="box"];991[label="xv401/False",fontsize=10,color="white",style="solid",shape="box"];381 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 438[label="",style="solid", color="burlywood", weight=3]; 992[label="xv401/True",fontsize=10,color="white",style="solid",shape="box"];381 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 439[label="",style="solid", color="burlywood", weight=3]; 382[label="True == xv401",fontsize=16,color="burlywood",shape="box"];993[label="xv401/False",fontsize=10,color="white",style="solid",shape="box"];382 -> 993[label="",style="solid", color="burlywood", weight=9]; 993 -> 440[label="",style="solid", color="burlywood", weight=3]; 994[label="xv401/True",fontsize=10,color="white",style="solid",shape="box"];382 -> 994[label="",style="solid", color="burlywood", weight=9]; 994 -> 441[label="",style="solid", color="burlywood", weight=3]; 383[label="primEqFloat xv31 xv401",fontsize=16,color="burlywood",shape="box"];995[label="xv31/Float xv310 xv311",fontsize=10,color="white",style="solid",shape="box"];383 -> 995[label="",style="solid", color="burlywood", weight=9]; 995 -> 442[label="",style="solid", color="burlywood", weight=3]; 384[label="Nothing == xv401",fontsize=16,color="burlywood",shape="box"];996[label="xv401/Nothing",fontsize=10,color="white",style="solid",shape="box"];384 -> 996[label="",style="solid", color="burlywood", weight=9]; 996 -> 443[label="",style="solid", color="burlywood", weight=3]; 997[label="xv401/Just xv4010",fontsize=10,color="white",style="solid",shape="box"];384 -> 997[label="",style="solid", color="burlywood", weight=9]; 997 -> 444[label="",style="solid", color="burlywood", weight=3]; 385[label="Just xv310 == xv401",fontsize=16,color="burlywood",shape="box"];998[label="xv401/Nothing",fontsize=10,color="white",style="solid",shape="box"];385 -> 998[label="",style="solid", color="burlywood", weight=9]; 998 -> 445[label="",style="solid", color="burlywood", weight=3]; 999[label="xv401/Just xv4010",fontsize=10,color="white",style="solid",shape="box"];385 -> 999[label="",style="solid", color="burlywood", weight=9]; 999 -> 446[label="",style="solid", color="burlywood", weight=3]; 386[label="Left xv310 == xv401",fontsize=16,color="burlywood",shape="box"];1000[label="xv401/Left xv4010",fontsize=10,color="white",style="solid",shape="box"];386 -> 1000[label="",style="solid", color="burlywood", weight=9]; 1000 -> 447[label="",style="solid", color="burlywood", weight=3]; 1001[label="xv401/Right xv4010",fontsize=10,color="white",style="solid",shape="box"];386 -> 1001[label="",style="solid", color="burlywood", weight=9]; 1001 -> 448[label="",style="solid", color="burlywood", weight=3]; 387[label="Right xv310 == xv401",fontsize=16,color="burlywood",shape="box"];1002[label="xv401/Left xv4010",fontsize=10,color="white",style="solid",shape="box"];387 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 449[label="",style="solid", color="burlywood", weight=3]; 1003[label="xv401/Right xv4010",fontsize=10,color="white",style="solid",shape="box"];387 -> 1003[label="",style="solid", color="burlywood", weight=9]; 1003 -> 450[label="",style="solid", color="burlywood", weight=3]; 388[label="xv310 :% xv311 == xv401",fontsize=16,color="burlywood",shape="box"];1004[label="xv401/xv4010 :% xv4011",fontsize=10,color="white",style="solid",shape="box"];388 -> 1004[label="",style="solid", color="burlywood", weight=9]; 1004 -> 451[label="",style="solid", color="burlywood", weight=3]; 389[label="primEqInt xv31 xv401",fontsize=16,color="burlywood",shape="triangle"];1005[label="xv31/Pos xv310",fontsize=10,color="white",style="solid",shape="box"];389 -> 1005[label="",style="solid", color="burlywood", weight=9]; 1005 -> 452[label="",style="solid", color="burlywood", weight=3]; 1006[label="xv31/Neg xv310",fontsize=10,color="white",style="solid",shape="box"];389 -> 1006[label="",style="solid", color="burlywood", weight=9]; 1006 -> 453[label="",style="solid", color="burlywood", weight=3]; 390[label="xv401",fontsize=16,color="green",shape="box"];391[label="xv31",fontsize=16,color="green",shape="box"];392[label="Integer xv310 == xv401",fontsize=16,color="burlywood",shape="box"];1007[label="xv401/Integer xv4010",fontsize=10,color="white",style="solid",shape="box"];392 -> 1007[label="",style="solid", color="burlywood", weight=9]; 1007 -> 454[label="",style="solid", color="burlywood", weight=3]; 393[label="() == xv401",fontsize=16,color="burlywood",shape="box"];1008[label="xv401/()",fontsize=10,color="white",style="solid",shape="box"];393 -> 1008[label="",style="solid", color="burlywood", weight=9]; 1008 -> 455[label="",style="solid", color="burlywood", weight=3]; 394[label="xv400",fontsize=16,color="green",shape="box"];395[label="xv30",fontsize=16,color="green",shape="box"];396[label="xv400",fontsize=16,color="green",shape="box"];397[label="xv30",fontsize=16,color="green",shape="box"];398[label="xv400",fontsize=16,color="green",shape="box"];399[label="xv30",fontsize=16,color="green",shape="box"];400[label="xv400",fontsize=16,color="green",shape="box"];401[label="xv30",fontsize=16,color="green",shape="box"];402[label="xv400",fontsize=16,color="green",shape="box"];403[label="xv30",fontsize=16,color="green",shape="box"];404[label="xv400",fontsize=16,color="green",shape="box"];405[label="xv30",fontsize=16,color="green",shape="box"];406[label="xv400",fontsize=16,color="green",shape="box"];407[label="xv30",fontsize=16,color="green",shape="box"];408[label="xv400",fontsize=16,color="green",shape="box"];409[label="xv30",fontsize=16,color="green",shape="box"];410[label="xv400",fontsize=16,color="green",shape="box"];411[label="xv30",fontsize=16,color="green",shape="box"];412[label="xv400",fontsize=16,color="green",shape="box"];413[label="xv30",fontsize=16,color="green",shape="box"];414[label="xv400",fontsize=16,color="green",shape="box"];415[label="xv30",fontsize=16,color="green",shape="box"];416[label="xv400",fontsize=16,color="green",shape="box"];417[label="xv30",fontsize=16,color="green",shape="box"];418[label="xv400",fontsize=16,color="green",shape="box"];419[label="xv30",fontsize=16,color="green",shape="box"];420[label="xv400",fontsize=16,color="green",shape="box"];421[label="xv30",fontsize=16,color="green",shape="box"];422[label="primEqDouble (Double xv310 xv311) xv401",fontsize=16,color="burlywood",shape="box"];1009[label="xv401/Double xv4010 xv4011",fontsize=10,color="white",style="solid",shape="box"];422 -> 1009[label="",style="solid", color="burlywood", weight=9]; 1009 -> 456[label="",style="solid", color="burlywood", weight=3]; 423[label="LT == LT",fontsize=16,color="black",shape="box"];423 -> 457[label="",style="solid", color="black", weight=3]; 424[label="LT == EQ",fontsize=16,color="black",shape="box"];424 -> 458[label="",style="solid", color="black", weight=3]; 425[label="LT == GT",fontsize=16,color="black",shape="box"];425 -> 459[label="",style="solid", color="black", weight=3]; 426[label="EQ == LT",fontsize=16,color="black",shape="box"];426 -> 460[label="",style="solid", color="black", weight=3]; 427[label="EQ == EQ",fontsize=16,color="black",shape="box"];427 -> 461[label="",style="solid", color="black", weight=3]; 428[label="EQ == GT",fontsize=16,color="black",shape="box"];428 -> 462[label="",style="solid", color="black", weight=3]; 429[label="GT == LT",fontsize=16,color="black",shape="box"];429 -> 463[label="",style="solid", color="black", weight=3]; 430[label="GT == EQ",fontsize=16,color="black",shape="box"];430 -> 464[label="",style="solid", color="black", weight=3]; 431[label="GT == GT",fontsize=16,color="black",shape="box"];431 -> 465[label="",style="solid", color="black", weight=3]; 432[label="xv310 : xv311 == xv4010 : xv4011",fontsize=16,color="black",shape="box"];432 -> 466[label="",style="solid", color="black", weight=3]; 433[label="xv310 : xv311 == []",fontsize=16,color="black",shape="box"];433 -> 467[label="",style="solid", color="black", weight=3]; 434[label="[] == xv4010 : xv4011",fontsize=16,color="black",shape="box"];434 -> 468[label="",style="solid", color="black", weight=3]; 435[label="[] == []",fontsize=16,color="black",shape="box"];435 -> 469[label="",style="solid", color="black", weight=3]; 436[label="primEqChar (Char xv310) xv401",fontsize=16,color="burlywood",shape="box"];1010[label="xv401/Char xv4010",fontsize=10,color="white",style="solid",shape="box"];436 -> 1010[label="",style="solid", color="burlywood", weight=9]; 1010 -> 470[label="",style="solid", color="burlywood", weight=3]; 437[label="(xv310,xv311,xv312) == (xv4010,xv4011,xv4012)",fontsize=16,color="black",shape="box"];437 -> 471[label="",style="solid", color="black", weight=3]; 438[label="False == False",fontsize=16,color="black",shape="box"];438 -> 472[label="",style="solid", color="black", weight=3]; 439[label="False == True",fontsize=16,color="black",shape="box"];439 -> 473[label="",style="solid", color="black", weight=3]; 440[label="True == False",fontsize=16,color="black",shape="box"];440 -> 474[label="",style="solid", color="black", weight=3]; 441[label="True == True",fontsize=16,color="black",shape="box"];441 -> 475[label="",style="solid", color="black", weight=3]; 442[label="primEqFloat (Float xv310 xv311) xv401",fontsize=16,color="burlywood",shape="box"];1011[label="xv401/Float xv4010 xv4011",fontsize=10,color="white",style="solid",shape="box"];442 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 476[label="",style="solid", color="burlywood", weight=3]; 443[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];443 -> 477[label="",style="solid", color="black", weight=3]; 444[label="Nothing == Just xv4010",fontsize=16,color="black",shape="box"];444 -> 478[label="",style="solid", color="black", weight=3]; 445[label="Just xv310 == Nothing",fontsize=16,color="black",shape="box"];445 -> 479[label="",style="solid", color="black", weight=3]; 446[label="Just xv310 == Just xv4010",fontsize=16,color="black",shape="box"];446 -> 480[label="",style="solid", color="black", weight=3]; 447[label="Left xv310 == Left xv4010",fontsize=16,color="black",shape="box"];447 -> 481[label="",style="solid", color="black", weight=3]; 448[label="Left xv310 == Right xv4010",fontsize=16,color="black",shape="box"];448 -> 482[label="",style="solid", color="black", weight=3]; 449[label="Right xv310 == Left xv4010",fontsize=16,color="black",shape="box"];449 -> 483[label="",style="solid", color="black", weight=3]; 450[label="Right xv310 == Right xv4010",fontsize=16,color="black",shape="box"];450 -> 484[label="",style="solid", color="black", weight=3]; 451[label="xv310 :% xv311 == xv4010 :% xv4011",fontsize=16,color="black",shape="box"];451 -> 485[label="",style="solid", color="black", weight=3]; 452[label="primEqInt (Pos xv310) xv401",fontsize=16,color="burlywood",shape="box"];1012[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];452 -> 1012[label="",style="solid", color="burlywood", weight=9]; 1012 -> 486[label="",style="solid", color="burlywood", weight=3]; 1013[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];452 -> 1013[label="",style="solid", color="burlywood", weight=9]; 1013 -> 487[label="",style="solid", color="burlywood", weight=3]; 453[label="primEqInt (Neg xv310) xv401",fontsize=16,color="burlywood",shape="box"];1014[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];453 -> 1014[label="",style="solid", color="burlywood", weight=9]; 1014 -> 488[label="",style="solid", color="burlywood", weight=3]; 1015[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];453 -> 1015[label="",style="solid", color="burlywood", weight=9]; 1015 -> 489[label="",style="solid", color="burlywood", weight=3]; 454[label="Integer xv310 == Integer xv4010",fontsize=16,color="black",shape="box"];454 -> 490[label="",style="solid", color="black", weight=3]; 455[label="() == ()",fontsize=16,color="black",shape="box"];455 -> 491[label="",style="solid", color="black", weight=3]; 456[label="primEqDouble (Double xv310 xv311) (Double xv4010 xv4011)",fontsize=16,color="black",shape="box"];456 -> 492[label="",style="solid", color="black", weight=3]; 457[label="True",fontsize=16,color="green",shape="box"];458[label="False",fontsize=16,color="green",shape="box"];459[label="False",fontsize=16,color="green",shape="box"];460[label="False",fontsize=16,color="green",shape="box"];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 -> 307[label="",style="dashed", color="red", weight=0]; 466[label="xv310 == xv4010 && xv311 == xv4011",fontsize=16,color="magenta"];466 -> 493[label="",style="dashed", color="magenta", weight=3]; 466 -> 494[label="",style="dashed", color="magenta", weight=3]; 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 xv4010)",fontsize=16,color="black",shape="box"];470 -> 495[label="",style="solid", color="black", weight=3]; 471 -> 307[label="",style="dashed", color="red", weight=0]; 471[label="xv310 == xv4010 && xv311 == xv4011 && xv312 == xv4012",fontsize=16,color="magenta"];471 -> 496[label="",style="dashed", color="magenta", weight=3]; 471 -> 497[label="",style="dashed", color="magenta", weight=3]; 472[label="True",fontsize=16,color="green",shape="box"];473[label="False",fontsize=16,color="green",shape="box"];474[label="False",fontsize=16,color="green",shape="box"];475[label="True",fontsize=16,color="green",shape="box"];476[label="primEqFloat (Float xv310 xv311) (Float xv4010 xv4011)",fontsize=16,color="black",shape="box"];476 -> 498[label="",style="solid", color="black", weight=3]; 477[label="True",fontsize=16,color="green",shape="box"];478[label="False",fontsize=16,color="green",shape="box"];479[label="False",fontsize=16,color="green",shape="box"];480[label="xv310 == xv4010",fontsize=16,color="blue",shape="box"];1016[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 499[label="",style="solid", color="blue", weight=3]; 1017[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 500[label="",style="solid", color="blue", weight=3]; 1018[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 501[label="",style="solid", color="blue", weight=3]; 1019[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 502[label="",style="solid", color="blue", weight=3]; 1020[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 503[label="",style="solid", color="blue", weight=3]; 1021[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 504[label="",style="solid", color="blue", weight=3]; 1022[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 505[label="",style="solid", color="blue", weight=3]; 1023[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 506[label="",style="solid", color="blue", weight=3]; 1024[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 507[label="",style="solid", color="blue", weight=3]; 1025[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 508[label="",style="solid", color="blue", weight=3]; 1026[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 509[label="",style="solid", color="blue", weight=3]; 1027[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 510[label="",style="solid", color="blue", weight=3]; 1028[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 511[label="",style="solid", color="blue", weight=3]; 1029[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 512[label="",style="solid", color="blue", weight=3]; 481[label="xv310 == xv4010",fontsize=16,color="blue",shape="box"];1030[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 513[label="",style="solid", color="blue", weight=3]; 1031[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 514[label="",style="solid", color="blue", weight=3]; 1032[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 515[label="",style="solid", color="blue", weight=3]; 1033[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 516[label="",style="solid", color="blue", weight=3]; 1034[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 517[label="",style="solid", color="blue", weight=3]; 1035[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 518[label="",style="solid", color="blue", weight=3]; 1036[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 519[label="",style="solid", color="blue", weight=3]; 1037[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 520[label="",style="solid", color="blue", weight=3]; 1038[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1038[label="",style="solid", color="blue", weight=9]; 1038 -> 521[label="",style="solid", color="blue", weight=3]; 1039[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1039[label="",style="solid", color="blue", weight=9]; 1039 -> 522[label="",style="solid", color="blue", weight=3]; 1040[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1040[label="",style="solid", color="blue", weight=9]; 1040 -> 523[label="",style="solid", color="blue", weight=3]; 1041[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1041[label="",style="solid", color="blue", weight=9]; 1041 -> 524[label="",style="solid", color="blue", weight=3]; 1042[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1042[label="",style="solid", color="blue", weight=9]; 1042 -> 525[label="",style="solid", color="blue", weight=3]; 1043[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 526[label="",style="solid", color="blue", weight=3]; 482[label="False",fontsize=16,color="green",shape="box"];483[label="False",fontsize=16,color="green",shape="box"];484[label="xv310 == xv4010",fontsize=16,color="blue",shape="box"];1044[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 527[label="",style="solid", color="blue", weight=3]; 1045[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 528[label="",style="solid", color="blue", weight=3]; 1046[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 529[label="",style="solid", color="blue", weight=3]; 1047[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 530[label="",style="solid", color="blue", weight=3]; 1048[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 531[label="",style="solid", color="blue", weight=3]; 1049[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 532[label="",style="solid", color="blue", weight=3]; 1050[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1050[label="",style="solid", color="blue", weight=9]; 1050 -> 533[label="",style="solid", color="blue", weight=3]; 1051[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1051[label="",style="solid", color="blue", weight=9]; 1051 -> 534[label="",style="solid", color="blue", weight=3]; 1052[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 535[label="",style="solid", color="blue", weight=3]; 1053[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 536[label="",style="solid", color="blue", weight=3]; 1054[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 537[label="",style="solid", color="blue", weight=3]; 1055[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 538[label="",style="solid", color="blue", weight=3]; 1056[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 539[label="",style="solid", color="blue", weight=3]; 1057[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 540[label="",style="solid", color="blue", weight=3]; 485 -> 307[label="",style="dashed", color="red", weight=0]; 485[label="xv310 == xv4010 && xv311 == xv4011",fontsize=16,color="magenta"];485 -> 541[label="",style="dashed", color="magenta", weight=3]; 485 -> 542[label="",style="dashed", color="magenta", weight=3]; 486[label="primEqInt (Pos (Succ xv3100)) xv401",fontsize=16,color="burlywood",shape="box"];1058[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];486 -> 1058[label="",style="solid", color="burlywood", weight=9]; 1058 -> 543[label="",style="solid", color="burlywood", weight=3]; 1059[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];486 -> 1059[label="",style="solid", color="burlywood", weight=9]; 1059 -> 544[label="",style="solid", color="burlywood", weight=3]; 487[label="primEqInt (Pos Zero) xv401",fontsize=16,color="burlywood",shape="box"];1060[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];487 -> 1060[label="",style="solid", color="burlywood", weight=9]; 1060 -> 545[label="",style="solid", color="burlywood", weight=3]; 1061[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];487 -> 1061[label="",style="solid", color="burlywood", weight=9]; 1061 -> 546[label="",style="solid", color="burlywood", weight=3]; 488[label="primEqInt (Neg (Succ xv3100)) xv401",fontsize=16,color="burlywood",shape="box"];1062[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];488 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 547[label="",style="solid", color="burlywood", weight=3]; 1063[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];488 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 548[label="",style="solid", color="burlywood", weight=3]; 489[label="primEqInt (Neg Zero) xv401",fontsize=16,color="burlywood",shape="box"];1064[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];489 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 549[label="",style="solid", color="burlywood", weight=3]; 1065[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];489 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 550[label="",style="solid", color="burlywood", weight=3]; 490 -> 389[label="",style="dashed", color="red", weight=0]; 490[label="primEqInt xv310 xv4010",fontsize=16,color="magenta"];490 -> 551[label="",style="dashed", color="magenta", weight=3]; 490 -> 552[label="",style="dashed", color="magenta", weight=3]; 491[label="True",fontsize=16,color="green",shape="box"];492 -> 355[label="",style="dashed", color="red", weight=0]; 492[label="xv310 * xv4011 == xv311 * xv4010",fontsize=16,color="magenta"];492 -> 553[label="",style="dashed", color="magenta", weight=3]; 492 -> 554[label="",style="dashed", color="magenta", weight=3]; 493 -> 347[label="",style="dashed", color="red", weight=0]; 493[label="xv311 == xv4011",fontsize=16,color="magenta"];493 -> 555[label="",style="dashed", color="magenta", weight=3]; 493 -> 556[label="",style="dashed", color="magenta", weight=3]; 494[label="xv310 == xv4010",fontsize=16,color="blue",shape="box"];1066[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 557[label="",style="solid", color="blue", weight=3]; 1067[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 558[label="",style="solid", color="blue", weight=3]; 1068[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 559[label="",style="solid", color="blue", weight=3]; 1069[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 560[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"];494 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 561[label="",style="solid", color="blue", weight=3]; 1071[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 562[label="",style="solid", color="blue", weight=3]; 1072[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 563[label="",style="solid", color="blue", weight=3]; 1073[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 564[label="",style="solid", color="blue", weight=3]; 1074[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 565[label="",style="solid", color="blue", weight=3]; 1075[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 566[label="",style="solid", color="blue", weight=3]; 1076[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 567[label="",style="solid", color="blue", weight=3]; 1077[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 568[label="",style="solid", color="blue", weight=3]; 1078[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 569[label="",style="solid", color="blue", weight=3]; 1079[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 570[label="",style="solid", color="blue", weight=3]; 495[label="primEqNat xv310 xv4010",fontsize=16,color="burlywood",shape="triangle"];1080[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];495 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 571[label="",style="solid", color="burlywood", weight=3]; 1081[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];495 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 572[label="",style="solid", color="burlywood", weight=3]; 496 -> 307[label="",style="dashed", color="red", weight=0]; 496[label="xv311 == xv4011 && xv312 == xv4012",fontsize=16,color="magenta"];496 -> 573[label="",style="dashed", color="magenta", weight=3]; 496 -> 574[label="",style="dashed", color="magenta", weight=3]; 497[label="xv310 == xv4010",fontsize=16,color="blue",shape="box"];1082[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1082[label="",style="solid", color="blue", weight=9]; 1082 -> 575[label="",style="solid", color="blue", weight=3]; 1083[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1083[label="",style="solid", color="blue", weight=9]; 1083 -> 576[label="",style="solid", color="blue", weight=3]; 1084[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1084[label="",style="solid", color="blue", weight=9]; 1084 -> 577[label="",style="solid", color="blue", weight=3]; 1085[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1085[label="",style="solid", color="blue", weight=9]; 1085 -> 578[label="",style="solid", color="blue", weight=3]; 1086[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1086[label="",style="solid", color="blue", weight=9]; 1086 -> 579[label="",style="solid", color="blue", weight=3]; 1087[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1087[label="",style="solid", color="blue", weight=9]; 1087 -> 580[label="",style="solid", color="blue", weight=3]; 1088[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1088[label="",style="solid", color="blue", weight=9]; 1088 -> 581[label="",style="solid", color="blue", weight=3]; 1089[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1089[label="",style="solid", color="blue", weight=9]; 1089 -> 582[label="",style="solid", color="blue", weight=3]; 1090[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1090[label="",style="solid", color="blue", weight=9]; 1090 -> 583[label="",style="solid", color="blue", weight=3]; 1091[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1091[label="",style="solid", color="blue", weight=9]; 1091 -> 584[label="",style="solid", color="blue", weight=3]; 1092[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 585[label="",style="solid", color="blue", weight=3]; 1093[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 586[label="",style="solid", color="blue", weight=3]; 1094[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1094[label="",style="solid", color="blue", weight=9]; 1094 -> 587[label="",style="solid", color="blue", weight=3]; 1095[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];497 -> 1095[label="",style="solid", color="blue", weight=9]; 1095 -> 588[label="",style="solid", color="blue", weight=3]; 498 -> 355[label="",style="dashed", color="red", weight=0]; 498[label="xv310 * xv4011 == xv311 * xv4010",fontsize=16,color="magenta"];498 -> 589[label="",style="dashed", color="magenta", weight=3]; 498 -> 590[label="",style="dashed", color="magenta", weight=3]; 499 -> 345[label="",style="dashed", color="red", weight=0]; 499[label="xv310 == xv4010",fontsize=16,color="magenta"];499 -> 591[label="",style="dashed", color="magenta", weight=3]; 499 -> 592[label="",style="dashed", color="magenta", weight=3]; 500 -> 346[label="",style="dashed", color="red", weight=0]; 500[label="xv310 == xv4010",fontsize=16,color="magenta"];500 -> 593[label="",style="dashed", color="magenta", weight=3]; 500 -> 594[label="",style="dashed", color="magenta", weight=3]; 501 -> 347[label="",style="dashed", color="red", weight=0]; 501[label="xv310 == xv4010",fontsize=16,color="magenta"];501 -> 595[label="",style="dashed", color="magenta", weight=3]; 501 -> 596[label="",style="dashed", color="magenta", weight=3]; 502 -> 348[label="",style="dashed", color="red", weight=0]; 502[label="xv310 == xv4010",fontsize=16,color="magenta"];502 -> 597[label="",style="dashed", color="magenta", weight=3]; 502 -> 598[label="",style="dashed", color="magenta", weight=3]; 503 -> 349[label="",style="dashed", color="red", weight=0]; 503[label="xv310 == xv4010",fontsize=16,color="magenta"];503 -> 599[label="",style="dashed", color="magenta", weight=3]; 503 -> 600[label="",style="dashed", color="magenta", weight=3]; 504 -> 350[label="",style="dashed", color="red", weight=0]; 504[label="xv310 == xv4010",fontsize=16,color="magenta"];504 -> 601[label="",style="dashed", color="magenta", weight=3]; 504 -> 602[label="",style="dashed", color="magenta", weight=3]; 505 -> 351[label="",style="dashed", color="red", weight=0]; 505[label="xv310 == xv4010",fontsize=16,color="magenta"];505 -> 603[label="",style="dashed", color="magenta", weight=3]; 505 -> 604[label="",style="dashed", color="magenta", weight=3]; 506 -> 352[label="",style="dashed", color="red", weight=0]; 506[label="xv310 == xv4010",fontsize=16,color="magenta"];506 -> 605[label="",style="dashed", color="magenta", weight=3]; 506 -> 606[label="",style="dashed", color="magenta", weight=3]; 507 -> 353[label="",style="dashed", color="red", weight=0]; 507[label="xv310 == xv4010",fontsize=16,color="magenta"];507 -> 607[label="",style="dashed", color="magenta", weight=3]; 507 -> 608[label="",style="dashed", color="magenta", weight=3]; 508 -> 354[label="",style="dashed", color="red", weight=0]; 508[label="xv310 == xv4010",fontsize=16,color="magenta"];508 -> 609[label="",style="dashed", color="magenta", weight=3]; 508 -> 610[label="",style="dashed", color="magenta", weight=3]; 509 -> 355[label="",style="dashed", color="red", weight=0]; 509[label="xv310 == xv4010",fontsize=16,color="magenta"];509 -> 611[label="",style="dashed", color="magenta", weight=3]; 509 -> 612[label="",style="dashed", color="magenta", weight=3]; 510 -> 334[label="",style="dashed", color="red", weight=0]; 510[label="xv310 == xv4010",fontsize=16,color="magenta"];510 -> 613[label="",style="dashed", color="magenta", weight=3]; 510 -> 614[label="",style="dashed", color="magenta", weight=3]; 511 -> 357[label="",style="dashed", color="red", weight=0]; 511[label="xv310 == xv4010",fontsize=16,color="magenta"];511 -> 615[label="",style="dashed", color="magenta", weight=3]; 511 -> 616[label="",style="dashed", color="magenta", weight=3]; 512 -> 358[label="",style="dashed", color="red", weight=0]; 512[label="xv310 == xv4010",fontsize=16,color="magenta"];512 -> 617[label="",style="dashed", color="magenta", weight=3]; 512 -> 618[label="",style="dashed", color="magenta", weight=3]; 513 -> 345[label="",style="dashed", color="red", weight=0]; 513[label="xv310 == xv4010",fontsize=16,color="magenta"];513 -> 619[label="",style="dashed", color="magenta", weight=3]; 513 -> 620[label="",style="dashed", color="magenta", weight=3]; 514 -> 346[label="",style="dashed", color="red", weight=0]; 514[label="xv310 == xv4010",fontsize=16,color="magenta"];514 -> 621[label="",style="dashed", color="magenta", weight=3]; 514 -> 622[label="",style="dashed", color="magenta", weight=3]; 515 -> 347[label="",style="dashed", color="red", weight=0]; 515[label="xv310 == xv4010",fontsize=16,color="magenta"];515 -> 623[label="",style="dashed", color="magenta", weight=3]; 515 -> 624[label="",style="dashed", color="magenta", weight=3]; 516 -> 348[label="",style="dashed", color="red", weight=0]; 516[label="xv310 == xv4010",fontsize=16,color="magenta"];516 -> 625[label="",style="dashed", color="magenta", weight=3]; 516 -> 626[label="",style="dashed", color="magenta", weight=3]; 517 -> 349[label="",style="dashed", color="red", weight=0]; 517[label="xv310 == xv4010",fontsize=16,color="magenta"];517 -> 627[label="",style="dashed", color="magenta", weight=3]; 517 -> 628[label="",style="dashed", color="magenta", weight=3]; 518 -> 350[label="",style="dashed", color="red", weight=0]; 518[label="xv310 == xv4010",fontsize=16,color="magenta"];518 -> 629[label="",style="dashed", color="magenta", weight=3]; 518 -> 630[label="",style="dashed", color="magenta", weight=3]; 519 -> 351[label="",style="dashed", color="red", weight=0]; 519[label="xv310 == xv4010",fontsize=16,color="magenta"];519 -> 631[label="",style="dashed", color="magenta", weight=3]; 519 -> 632[label="",style="dashed", color="magenta", weight=3]; 520 -> 352[label="",style="dashed", color="red", weight=0]; 520[label="xv310 == xv4010",fontsize=16,color="magenta"];520 -> 633[label="",style="dashed", color="magenta", weight=3]; 520 -> 634[label="",style="dashed", color="magenta", weight=3]; 521 -> 353[label="",style="dashed", color="red", weight=0]; 521[label="xv310 == xv4010",fontsize=16,color="magenta"];521 -> 635[label="",style="dashed", color="magenta", weight=3]; 521 -> 636[label="",style="dashed", color="magenta", weight=3]; 522 -> 354[label="",style="dashed", color="red", weight=0]; 522[label="xv310 == xv4010",fontsize=16,color="magenta"];522 -> 637[label="",style="dashed", color="magenta", weight=3]; 522 -> 638[label="",style="dashed", color="magenta", weight=3]; 523 -> 355[label="",style="dashed", color="red", weight=0]; 523[label="xv310 == xv4010",fontsize=16,color="magenta"];523 -> 639[label="",style="dashed", color="magenta", weight=3]; 523 -> 640[label="",style="dashed", color="magenta", weight=3]; 524 -> 334[label="",style="dashed", color="red", weight=0]; 524[label="xv310 == xv4010",fontsize=16,color="magenta"];524 -> 641[label="",style="dashed", color="magenta", weight=3]; 524 -> 642[label="",style="dashed", color="magenta", weight=3]; 525 -> 357[label="",style="dashed", color="red", weight=0]; 525[label="xv310 == xv4010",fontsize=16,color="magenta"];525 -> 643[label="",style="dashed", color="magenta", weight=3]; 525 -> 644[label="",style="dashed", color="magenta", weight=3]; 526 -> 358[label="",style="dashed", color="red", weight=0]; 526[label="xv310 == xv4010",fontsize=16,color="magenta"];526 -> 645[label="",style="dashed", color="magenta", weight=3]; 526 -> 646[label="",style="dashed", color="magenta", weight=3]; 527 -> 345[label="",style="dashed", color="red", weight=0]; 527[label="xv310 == xv4010",fontsize=16,color="magenta"];527 -> 647[label="",style="dashed", color="magenta", weight=3]; 527 -> 648[label="",style="dashed", color="magenta", weight=3]; 528 -> 346[label="",style="dashed", color="red", weight=0]; 528[label="xv310 == xv4010",fontsize=16,color="magenta"];528 -> 649[label="",style="dashed", color="magenta", weight=3]; 528 -> 650[label="",style="dashed", color="magenta", weight=3]; 529 -> 347[label="",style="dashed", color="red", weight=0]; 529[label="xv310 == xv4010",fontsize=16,color="magenta"];529 -> 651[label="",style="dashed", color="magenta", weight=3]; 529 -> 652[label="",style="dashed", color="magenta", weight=3]; 530 -> 348[label="",style="dashed", color="red", weight=0]; 530[label="xv310 == xv4010",fontsize=16,color="magenta"];530 -> 653[label="",style="dashed", color="magenta", weight=3]; 530 -> 654[label="",style="dashed", color="magenta", weight=3]; 531 -> 349[label="",style="dashed", color="red", weight=0]; 531[label="xv310 == xv4010",fontsize=16,color="magenta"];531 -> 655[label="",style="dashed", color="magenta", weight=3]; 531 -> 656[label="",style="dashed", color="magenta", weight=3]; 532 -> 350[label="",style="dashed", color="red", weight=0]; 532[label="xv310 == xv4010",fontsize=16,color="magenta"];532 -> 657[label="",style="dashed", color="magenta", weight=3]; 532 -> 658[label="",style="dashed", color="magenta", weight=3]; 533 -> 351[label="",style="dashed", color="red", weight=0]; 533[label="xv310 == xv4010",fontsize=16,color="magenta"];533 -> 659[label="",style="dashed", color="magenta", weight=3]; 533 -> 660[label="",style="dashed", color="magenta", weight=3]; 534 -> 352[label="",style="dashed", color="red", weight=0]; 534[label="xv310 == xv4010",fontsize=16,color="magenta"];534 -> 661[label="",style="dashed", color="magenta", weight=3]; 534 -> 662[label="",style="dashed", color="magenta", weight=3]; 535 -> 353[label="",style="dashed", color="red", weight=0]; 535[label="xv310 == xv4010",fontsize=16,color="magenta"];535 -> 663[label="",style="dashed", color="magenta", weight=3]; 535 -> 664[label="",style="dashed", color="magenta", weight=3]; 536 -> 354[label="",style="dashed", color="red", weight=0]; 536[label="xv310 == xv4010",fontsize=16,color="magenta"];536 -> 665[label="",style="dashed", color="magenta", weight=3]; 536 -> 666[label="",style="dashed", color="magenta", weight=3]; 537 -> 355[label="",style="dashed", color="red", weight=0]; 537[label="xv310 == xv4010",fontsize=16,color="magenta"];537 -> 667[label="",style="dashed", color="magenta", weight=3]; 537 -> 668[label="",style="dashed", color="magenta", weight=3]; 538 -> 334[label="",style="dashed", color="red", weight=0]; 538[label="xv310 == xv4010",fontsize=16,color="magenta"];538 -> 669[label="",style="dashed", color="magenta", weight=3]; 538 -> 670[label="",style="dashed", color="magenta", weight=3]; 539 -> 357[label="",style="dashed", color="red", weight=0]; 539[label="xv310 == xv4010",fontsize=16,color="magenta"];539 -> 671[label="",style="dashed", color="magenta", weight=3]; 539 -> 672[label="",style="dashed", color="magenta", weight=3]; 540 -> 358[label="",style="dashed", color="red", weight=0]; 540[label="xv310 == xv4010",fontsize=16,color="magenta"];540 -> 673[label="",style="dashed", color="magenta", weight=3]; 540 -> 674[label="",style="dashed", color="magenta", weight=3]; 541[label="xv311 == xv4011",fontsize=16,color="blue",shape="box"];1096[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1096[label="",style="solid", color="blue", weight=9]; 1096 -> 675[label="",style="solid", color="blue", weight=3]; 1097[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 676[label="",style="solid", color="blue", weight=3]; 542[label="xv310 == xv4010",fontsize=16,color="blue",shape="box"];1098[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 677[label="",style="solid", color="blue", weight=3]; 1099[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];542 -> 1099[label="",style="solid", color="blue", weight=9]; 1099 -> 678[label="",style="solid", color="blue", weight=3]; 543[label="primEqInt (Pos (Succ xv3100)) (Pos xv4010)",fontsize=16,color="burlywood",shape="box"];1100[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];543 -> 1100[label="",style="solid", color="burlywood", weight=9]; 1100 -> 679[label="",style="solid", color="burlywood", weight=3]; 1101[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];543 -> 1101[label="",style="solid", color="burlywood", weight=9]; 1101 -> 680[label="",style="solid", color="burlywood", weight=3]; 544[label="primEqInt (Pos (Succ xv3100)) (Neg xv4010)",fontsize=16,color="black",shape="box"];544 -> 681[label="",style="solid", color="black", weight=3]; 545[label="primEqInt (Pos Zero) (Pos xv4010)",fontsize=16,color="burlywood",shape="box"];1102[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];545 -> 1102[label="",style="solid", color="burlywood", weight=9]; 1102 -> 682[label="",style="solid", color="burlywood", weight=3]; 1103[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];545 -> 1103[label="",style="solid", color="burlywood", weight=9]; 1103 -> 683[label="",style="solid", color="burlywood", weight=3]; 546[label="primEqInt (Pos Zero) (Neg xv4010)",fontsize=16,color="burlywood",shape="box"];1104[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];546 -> 1104[label="",style="solid", color="burlywood", weight=9]; 1104 -> 684[label="",style="solid", color="burlywood", weight=3]; 1105[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];546 -> 1105[label="",style="solid", color="burlywood", weight=9]; 1105 -> 685[label="",style="solid", color="burlywood", weight=3]; 547[label="primEqInt (Neg (Succ xv3100)) (Pos xv4010)",fontsize=16,color="black",shape="box"];547 -> 686[label="",style="solid", color="black", weight=3]; 548[label="primEqInt (Neg (Succ xv3100)) (Neg xv4010)",fontsize=16,color="burlywood",shape="box"];1106[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];548 -> 1106[label="",style="solid", color="burlywood", weight=9]; 1106 -> 687[label="",style="solid", color="burlywood", weight=3]; 1107[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];548 -> 1107[label="",style="solid", color="burlywood", weight=9]; 1107 -> 688[label="",style="solid", color="burlywood", weight=3]; 549[label="primEqInt (Neg Zero) (Pos xv4010)",fontsize=16,color="burlywood",shape="box"];1108[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];549 -> 1108[label="",style="solid", color="burlywood", weight=9]; 1108 -> 689[label="",style="solid", color="burlywood", weight=3]; 1109[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];549 -> 1109[label="",style="solid", color="burlywood", weight=9]; 1109 -> 690[label="",style="solid", color="burlywood", weight=3]; 550[label="primEqInt (Neg Zero) (Neg xv4010)",fontsize=16,color="burlywood",shape="box"];1110[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];550 -> 1110[label="",style="solid", color="burlywood", weight=9]; 1110 -> 691[label="",style="solid", color="burlywood", weight=3]; 1111[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];550 -> 1111[label="",style="solid", color="burlywood", weight=9]; 1111 -> 692[label="",style="solid", color="burlywood", weight=3]; 551[label="xv4010",fontsize=16,color="green",shape="box"];552[label="xv310",fontsize=16,color="green",shape="box"];553[label="xv311 * xv4010",fontsize=16,color="black",shape="triangle"];553 -> 693[label="",style="solid", color="black", weight=3]; 554 -> 553[label="",style="dashed", color="red", weight=0]; 554[label="xv310 * xv4011",fontsize=16,color="magenta"];554 -> 694[label="",style="dashed", color="magenta", weight=3]; 554 -> 695[label="",style="dashed", color="magenta", weight=3]; 555[label="xv4011",fontsize=16,color="green",shape="box"];556[label="xv311",fontsize=16,color="green",shape="box"];557 -> 345[label="",style="dashed", color="red", weight=0]; 557[label="xv310 == xv4010",fontsize=16,color="magenta"];557 -> 696[label="",style="dashed", color="magenta", weight=3]; 557 -> 697[label="",style="dashed", color="magenta", weight=3]; 558 -> 346[label="",style="dashed", color="red", weight=0]; 558[label="xv310 == xv4010",fontsize=16,color="magenta"];558 -> 698[label="",style="dashed", color="magenta", weight=3]; 558 -> 699[label="",style="dashed", color="magenta", weight=3]; 559 -> 347[label="",style="dashed", color="red", weight=0]; 559[label="xv310 == xv4010",fontsize=16,color="magenta"];559 -> 700[label="",style="dashed", color="magenta", weight=3]; 559 -> 701[label="",style="dashed", color="magenta", weight=3]; 560 -> 348[label="",style="dashed", color="red", weight=0]; 560[label="xv310 == xv4010",fontsize=16,color="magenta"];560 -> 702[label="",style="dashed", color="magenta", weight=3]; 560 -> 703[label="",style="dashed", color="magenta", weight=3]; 561 -> 349[label="",style="dashed", color="red", weight=0]; 561[label="xv310 == xv4010",fontsize=16,color="magenta"];561 -> 704[label="",style="dashed", color="magenta", weight=3]; 561 -> 705[label="",style="dashed", color="magenta", weight=3]; 562 -> 350[label="",style="dashed", color="red", weight=0]; 562[label="xv310 == xv4010",fontsize=16,color="magenta"];562 -> 706[label="",style="dashed", color="magenta", weight=3]; 562 -> 707[label="",style="dashed", color="magenta", weight=3]; 563 -> 351[label="",style="dashed", color="red", weight=0]; 563[label="xv310 == xv4010",fontsize=16,color="magenta"];563 -> 708[label="",style="dashed", color="magenta", weight=3]; 563 -> 709[label="",style="dashed", color="magenta", weight=3]; 564 -> 352[label="",style="dashed", color="red", weight=0]; 564[label="xv310 == xv4010",fontsize=16,color="magenta"];564 -> 710[label="",style="dashed", color="magenta", weight=3]; 564 -> 711[label="",style="dashed", color="magenta", weight=3]; 565 -> 353[label="",style="dashed", color="red", weight=0]; 565[label="xv310 == xv4010",fontsize=16,color="magenta"];565 -> 712[label="",style="dashed", color="magenta", weight=3]; 565 -> 713[label="",style="dashed", color="magenta", weight=3]; 566 -> 354[label="",style="dashed", color="red", weight=0]; 566[label="xv310 == xv4010",fontsize=16,color="magenta"];566 -> 714[label="",style="dashed", color="magenta", weight=3]; 566 -> 715[label="",style="dashed", color="magenta", weight=3]; 567 -> 355[label="",style="dashed", color="red", weight=0]; 567[label="xv310 == xv4010",fontsize=16,color="magenta"];567 -> 716[label="",style="dashed", color="magenta", weight=3]; 567 -> 717[label="",style="dashed", color="magenta", weight=3]; 568 -> 334[label="",style="dashed", color="red", weight=0]; 568[label="xv310 == xv4010",fontsize=16,color="magenta"];568 -> 718[label="",style="dashed", color="magenta", weight=3]; 568 -> 719[label="",style="dashed", color="magenta", weight=3]; 569 -> 357[label="",style="dashed", color="red", weight=0]; 569[label="xv310 == xv4010",fontsize=16,color="magenta"];569 -> 720[label="",style="dashed", color="magenta", weight=3]; 569 -> 721[label="",style="dashed", color="magenta", weight=3]; 570 -> 358[label="",style="dashed", color="red", weight=0]; 570[label="xv310 == xv4010",fontsize=16,color="magenta"];570 -> 722[label="",style="dashed", color="magenta", weight=3]; 570 -> 723[label="",style="dashed", color="magenta", weight=3]; 571[label="primEqNat (Succ xv3100) xv4010",fontsize=16,color="burlywood",shape="box"];1112[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];571 -> 1112[label="",style="solid", color="burlywood", weight=9]; 1112 -> 724[label="",style="solid", color="burlywood", weight=3]; 1113[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];571 -> 1113[label="",style="solid", color="burlywood", weight=9]; 1113 -> 725[label="",style="solid", color="burlywood", weight=3]; 572[label="primEqNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];1114[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];572 -> 1114[label="",style="solid", color="burlywood", weight=9]; 1114 -> 726[label="",style="solid", color="burlywood", weight=3]; 1115[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];572 -> 1115[label="",style="solid", color="burlywood", weight=9]; 1115 -> 727[label="",style="solid", color="burlywood", weight=3]; 573[label="xv312 == xv4012",fontsize=16,color="blue",shape="box"];1116[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1116[label="",style="solid", color="blue", weight=9]; 1116 -> 728[label="",style="solid", color="blue", weight=3]; 1117[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1117[label="",style="solid", color="blue", weight=9]; 1117 -> 729[label="",style="solid", color="blue", weight=3]; 1118[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1118[label="",style="solid", color="blue", weight=9]; 1118 -> 730[label="",style="solid", color="blue", weight=3]; 1119[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1119[label="",style="solid", color="blue", weight=9]; 1119 -> 731[label="",style="solid", color="blue", weight=3]; 1120[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1120[label="",style="solid", color="blue", weight=9]; 1120 -> 732[label="",style="solid", color="blue", weight=3]; 1121[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1121[label="",style="solid", color="blue", weight=9]; 1121 -> 733[label="",style="solid", color="blue", weight=3]; 1122[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1122[label="",style="solid", color="blue", weight=9]; 1122 -> 734[label="",style="solid", color="blue", weight=3]; 1123[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1123[label="",style="solid", color="blue", weight=9]; 1123 -> 735[label="",style="solid", color="blue", weight=3]; 1124[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1124[label="",style="solid", color="blue", weight=9]; 1124 -> 736[label="",style="solid", color="blue", weight=3]; 1125[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1125[label="",style="solid", color="blue", weight=9]; 1125 -> 737[label="",style="solid", color="blue", weight=3]; 1126[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1126[label="",style="solid", color="blue", weight=9]; 1126 -> 738[label="",style="solid", color="blue", weight=3]; 1127[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1127[label="",style="solid", color="blue", weight=9]; 1127 -> 739[label="",style="solid", color="blue", weight=3]; 1128[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1128[label="",style="solid", color="blue", weight=9]; 1128 -> 740[label="",style="solid", color="blue", weight=3]; 1129[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];573 -> 1129[label="",style="solid", color="blue", weight=9]; 1129 -> 741[label="",style="solid", color="blue", weight=3]; 574[label="xv311 == xv4011",fontsize=16,color="blue",shape="box"];1130[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1130[label="",style="solid", color="blue", weight=9]; 1130 -> 742[label="",style="solid", color="blue", weight=3]; 1131[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1131[label="",style="solid", color="blue", weight=9]; 1131 -> 743[label="",style="solid", color="blue", weight=3]; 1132[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1132[label="",style="solid", color="blue", weight=9]; 1132 -> 744[label="",style="solid", color="blue", weight=3]; 1133[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1133[label="",style="solid", color="blue", weight=9]; 1133 -> 745[label="",style="solid", color="blue", weight=3]; 1134[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1134[label="",style="solid", color="blue", weight=9]; 1134 -> 746[label="",style="solid", color="blue", weight=3]; 1135[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1135[label="",style="solid", color="blue", weight=9]; 1135 -> 747[label="",style="solid", color="blue", weight=3]; 1136[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1136[label="",style="solid", color="blue", weight=9]; 1136 -> 748[label="",style="solid", color="blue", weight=3]; 1137[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1137[label="",style="solid", color="blue", weight=9]; 1137 -> 749[label="",style="solid", color="blue", weight=3]; 1138[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1138[label="",style="solid", color="blue", weight=9]; 1138 -> 750[label="",style="solid", color="blue", weight=3]; 1139[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1139[label="",style="solid", color="blue", weight=9]; 1139 -> 751[label="",style="solid", color="blue", weight=3]; 1140[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1140[label="",style="solid", color="blue", weight=9]; 1140 -> 752[label="",style="solid", color="blue", weight=3]; 1141[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1141[label="",style="solid", color="blue", weight=9]; 1141 -> 753[label="",style="solid", color="blue", weight=3]; 1142[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1142[label="",style="solid", color="blue", weight=9]; 1142 -> 754[label="",style="solid", color="blue", weight=3]; 1143[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];574 -> 1143[label="",style="solid", color="blue", weight=9]; 1143 -> 755[label="",style="solid", color="blue", weight=3]; 575 -> 345[label="",style="dashed", color="red", weight=0]; 575[label="xv310 == xv4010",fontsize=16,color="magenta"];575 -> 756[label="",style="dashed", color="magenta", weight=3]; 575 -> 757[label="",style="dashed", color="magenta", weight=3]; 576 -> 346[label="",style="dashed", color="red", weight=0]; 576[label="xv310 == xv4010",fontsize=16,color="magenta"];576 -> 758[label="",style="dashed", color="magenta", weight=3]; 576 -> 759[label="",style="dashed", color="magenta", weight=3]; 577 -> 347[label="",style="dashed", color="red", weight=0]; 577[label="xv310 == xv4010",fontsize=16,color="magenta"];577 -> 760[label="",style="dashed", color="magenta", weight=3]; 577 -> 761[label="",style="dashed", color="magenta", weight=3]; 578 -> 348[label="",style="dashed", color="red", weight=0]; 578[label="xv310 == xv4010",fontsize=16,color="magenta"];578 -> 762[label="",style="dashed", color="magenta", weight=3]; 578 -> 763[label="",style="dashed", color="magenta", weight=3]; 579 -> 349[label="",style="dashed", color="red", weight=0]; 579[label="xv310 == xv4010",fontsize=16,color="magenta"];579 -> 764[label="",style="dashed", color="magenta", weight=3]; 579 -> 765[label="",style="dashed", color="magenta", weight=3]; 580 -> 350[label="",style="dashed", color="red", weight=0]; 580[label="xv310 == xv4010",fontsize=16,color="magenta"];580 -> 766[label="",style="dashed", color="magenta", weight=3]; 580 -> 767[label="",style="dashed", color="magenta", weight=3]; 581 -> 351[label="",style="dashed", color="red", weight=0]; 581[label="xv310 == xv4010",fontsize=16,color="magenta"];581 -> 768[label="",style="dashed", color="magenta", weight=3]; 581 -> 769[label="",style="dashed", color="magenta", weight=3]; 582 -> 352[label="",style="dashed", color="red", weight=0]; 582[label="xv310 == xv4010",fontsize=16,color="magenta"];582 -> 770[label="",style="dashed", color="magenta", weight=3]; 582 -> 771[label="",style="dashed", color="magenta", weight=3]; 583 -> 353[label="",style="dashed", color="red", weight=0]; 583[label="xv310 == xv4010",fontsize=16,color="magenta"];583 -> 772[label="",style="dashed", color="magenta", weight=3]; 583 -> 773[label="",style="dashed", color="magenta", weight=3]; 584 -> 354[label="",style="dashed", color="red", weight=0]; 584[label="xv310 == xv4010",fontsize=16,color="magenta"];584 -> 774[label="",style="dashed", color="magenta", weight=3]; 584 -> 775[label="",style="dashed", color="magenta", weight=3]; 585 -> 355[label="",style="dashed", color="red", weight=0]; 585[label="xv310 == xv4010",fontsize=16,color="magenta"];585 -> 776[label="",style="dashed", color="magenta", weight=3]; 585 -> 777[label="",style="dashed", color="magenta", weight=3]; 586 -> 334[label="",style="dashed", color="red", weight=0]; 586[label="xv310 == xv4010",fontsize=16,color="magenta"];586 -> 778[label="",style="dashed", color="magenta", weight=3]; 586 -> 779[label="",style="dashed", color="magenta", weight=3]; 587 -> 357[label="",style="dashed", color="red", weight=0]; 587[label="xv310 == xv4010",fontsize=16,color="magenta"];587 -> 780[label="",style="dashed", color="magenta", weight=3]; 587 -> 781[label="",style="dashed", color="magenta", weight=3]; 588 -> 358[label="",style="dashed", color="red", weight=0]; 588[label="xv310 == xv4010",fontsize=16,color="magenta"];588 -> 782[label="",style="dashed", color="magenta", weight=3]; 588 -> 783[label="",style="dashed", color="magenta", weight=3]; 589 -> 553[label="",style="dashed", color="red", weight=0]; 589[label="xv311 * xv4010",fontsize=16,color="magenta"];589 -> 784[label="",style="dashed", color="magenta", weight=3]; 589 -> 785[label="",style="dashed", color="magenta", weight=3]; 590 -> 553[label="",style="dashed", color="red", weight=0]; 590[label="xv310 * xv4011",fontsize=16,color="magenta"];590 -> 786[label="",style="dashed", color="magenta", weight=3]; 590 -> 787[label="",style="dashed", color="magenta", weight=3]; 591[label="xv4010",fontsize=16,color="green",shape="box"];592[label="xv310",fontsize=16,color="green",shape="box"];593[label="xv4010",fontsize=16,color="green",shape="box"];594[label="xv310",fontsize=16,color="green",shape="box"];595[label="xv4010",fontsize=16,color="green",shape="box"];596[label="xv310",fontsize=16,color="green",shape="box"];597[label="xv4010",fontsize=16,color="green",shape="box"];598[label="xv310",fontsize=16,color="green",shape="box"];599[label="xv4010",fontsize=16,color="green",shape="box"];600[label="xv310",fontsize=16,color="green",shape="box"];601[label="xv4010",fontsize=16,color="green",shape="box"];602[label="xv310",fontsize=16,color="green",shape="box"];603[label="xv4010",fontsize=16,color="green",shape="box"];604[label="xv310",fontsize=16,color="green",shape="box"];605[label="xv4010",fontsize=16,color="green",shape="box"];606[label="xv310",fontsize=16,color="green",shape="box"];607[label="xv4010",fontsize=16,color="green",shape="box"];608[label="xv310",fontsize=16,color="green",shape="box"];609[label="xv4010",fontsize=16,color="green",shape="box"];610[label="xv310",fontsize=16,color="green",shape="box"];611[label="xv4010",fontsize=16,color="green",shape="box"];612[label="xv310",fontsize=16,color="green",shape="box"];613[label="xv4010",fontsize=16,color="green",shape="box"];614[label="xv310",fontsize=16,color="green",shape="box"];615[label="xv4010",fontsize=16,color="green",shape="box"];616[label="xv310",fontsize=16,color="green",shape="box"];617[label="xv4010",fontsize=16,color="green",shape="box"];618[label="xv310",fontsize=16,color="green",shape="box"];619[label="xv4010",fontsize=16,color="green",shape="box"];620[label="xv310",fontsize=16,color="green",shape="box"];621[label="xv4010",fontsize=16,color="green",shape="box"];622[label="xv310",fontsize=16,color="green",shape="box"];623[label="xv4010",fontsize=16,color="green",shape="box"];624[label="xv310",fontsize=16,color="green",shape="box"];625[label="xv4010",fontsize=16,color="green",shape="box"];626[label="xv310",fontsize=16,color="green",shape="box"];627[label="xv4010",fontsize=16,color="green",shape="box"];628[label="xv310",fontsize=16,color="green",shape="box"];629[label="xv4010",fontsize=16,color="green",shape="box"];630[label="xv310",fontsize=16,color="green",shape="box"];631[label="xv4010",fontsize=16,color="green",shape="box"];632[label="xv310",fontsize=16,color="green",shape="box"];633[label="xv4010",fontsize=16,color="green",shape="box"];634[label="xv310",fontsize=16,color="green",shape="box"];635[label="xv4010",fontsize=16,color="green",shape="box"];636[label="xv310",fontsize=16,color="green",shape="box"];637[label="xv4010",fontsize=16,color="green",shape="box"];638[label="xv310",fontsize=16,color="green",shape="box"];639[label="xv4010",fontsize=16,color="green",shape="box"];640[label="xv310",fontsize=16,color="green",shape="box"];641[label="xv4010",fontsize=16,color="green",shape="box"];642[label="xv310",fontsize=16,color="green",shape="box"];643[label="xv4010",fontsize=16,color="green",shape="box"];644[label="xv310",fontsize=16,color="green",shape="box"];645[label="xv4010",fontsize=16,color="green",shape="box"];646[label="xv310",fontsize=16,color="green",shape="box"];647[label="xv4010",fontsize=16,color="green",shape="box"];648[label="xv310",fontsize=16,color="green",shape="box"];649[label="xv4010",fontsize=16,color="green",shape="box"];650[label="xv310",fontsize=16,color="green",shape="box"];651[label="xv4010",fontsize=16,color="green",shape="box"];652[label="xv310",fontsize=16,color="green",shape="box"];653[label="xv4010",fontsize=16,color="green",shape="box"];654[label="xv310",fontsize=16,color="green",shape="box"];655[label="xv4010",fontsize=16,color="green",shape="box"];656[label="xv310",fontsize=16,color="green",shape="box"];657[label="xv4010",fontsize=16,color="green",shape="box"];658[label="xv310",fontsize=16,color="green",shape="box"];659[label="xv4010",fontsize=16,color="green",shape="box"];660[label="xv310",fontsize=16,color="green",shape="box"];661[label="xv4010",fontsize=16,color="green",shape="box"];662[label="xv310",fontsize=16,color="green",shape="box"];663[label="xv4010",fontsize=16,color="green",shape="box"];664[label="xv310",fontsize=16,color="green",shape="box"];665[label="xv4010",fontsize=16,color="green",shape="box"];666[label="xv310",fontsize=16,color="green",shape="box"];667[label="xv4010",fontsize=16,color="green",shape="box"];668[label="xv310",fontsize=16,color="green",shape="box"];669[label="xv4010",fontsize=16,color="green",shape="box"];670[label="xv310",fontsize=16,color="green",shape="box"];671[label="xv4010",fontsize=16,color="green",shape="box"];672[label="xv310",fontsize=16,color="green",shape="box"];673[label="xv4010",fontsize=16,color="green",shape="box"];674[label="xv310",fontsize=16,color="green",shape="box"];675 -> 355[label="",style="dashed", color="red", weight=0]; 675[label="xv311 == xv4011",fontsize=16,color="magenta"];675 -> 788[label="",style="dashed", color="magenta", weight=3]; 675 -> 789[label="",style="dashed", color="magenta", weight=3]; 676 -> 357[label="",style="dashed", color="red", weight=0]; 676[label="xv311 == xv4011",fontsize=16,color="magenta"];676 -> 790[label="",style="dashed", color="magenta", weight=3]; 676 -> 791[label="",style="dashed", color="magenta", weight=3]; 677 -> 355[label="",style="dashed", color="red", weight=0]; 677[label="xv310 == xv4010",fontsize=16,color="magenta"];677 -> 792[label="",style="dashed", color="magenta", weight=3]; 677 -> 793[label="",style="dashed", color="magenta", weight=3]; 678 -> 357[label="",style="dashed", color="red", weight=0]; 678[label="xv310 == xv4010",fontsize=16,color="magenta"];678 -> 794[label="",style="dashed", color="magenta", weight=3]; 678 -> 795[label="",style="dashed", color="magenta", weight=3]; 679[label="primEqInt (Pos (Succ xv3100)) (Pos (Succ xv40100))",fontsize=16,color="black",shape="box"];679 -> 796[label="",style="solid", color="black", weight=3]; 680[label="primEqInt (Pos (Succ xv3100)) (Pos Zero)",fontsize=16,color="black",shape="box"];680 -> 797[label="",style="solid", color="black", weight=3]; 681[label="False",fontsize=16,color="green",shape="box"];682[label="primEqInt (Pos Zero) (Pos (Succ xv40100))",fontsize=16,color="black",shape="box"];682 -> 798[label="",style="solid", color="black", weight=3]; 683[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];683 -> 799[label="",style="solid", color="black", weight=3]; 684[label="primEqInt (Pos Zero) (Neg (Succ xv40100))",fontsize=16,color="black",shape="box"];684 -> 800[label="",style="solid", color="black", weight=3]; 685[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];685 -> 801[label="",style="solid", color="black", weight=3]; 686[label="False",fontsize=16,color="green",shape="box"];687[label="primEqInt (Neg (Succ xv3100)) (Neg (Succ xv40100))",fontsize=16,color="black",shape="box"];687 -> 802[label="",style="solid", color="black", weight=3]; 688[label="primEqInt (Neg (Succ xv3100)) (Neg Zero)",fontsize=16,color="black",shape="box"];688 -> 803[label="",style="solid", color="black", weight=3]; 689[label="primEqInt (Neg Zero) (Pos (Succ xv40100))",fontsize=16,color="black",shape="box"];689 -> 804[label="",style="solid", color="black", weight=3]; 690[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];690 -> 805[label="",style="solid", color="black", weight=3]; 691[label="primEqInt (Neg Zero) (Neg (Succ xv40100))",fontsize=16,color="black",shape="box"];691 -> 806[label="",style="solid", color="black", weight=3]; 692[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];692 -> 807[label="",style="solid", color="black", weight=3]; 693[label="primMulInt xv311 xv4010",fontsize=16,color="burlywood",shape="box"];1144[label="xv311/Pos xv3110",fontsize=10,color="white",style="solid",shape="box"];693 -> 1144[label="",style="solid", color="burlywood", weight=9]; 1144 -> 808[label="",style="solid", color="burlywood", weight=3]; 1145[label="xv311/Neg xv3110",fontsize=10,color="white",style="solid",shape="box"];693 -> 1145[label="",style="solid", color="burlywood", weight=9]; 1145 -> 809[label="",style="solid", color="burlywood", weight=3]; 694[label="xv4011",fontsize=16,color="green",shape="box"];695[label="xv310",fontsize=16,color="green",shape="box"];696[label="xv4010",fontsize=16,color="green",shape="box"];697[label="xv310",fontsize=16,color="green",shape="box"];698[label="xv4010",fontsize=16,color="green",shape="box"];699[label="xv310",fontsize=16,color="green",shape="box"];700[label="xv4010",fontsize=16,color="green",shape="box"];701[label="xv310",fontsize=16,color="green",shape="box"];702[label="xv4010",fontsize=16,color="green",shape="box"];703[label="xv310",fontsize=16,color="green",shape="box"];704[label="xv4010",fontsize=16,color="green",shape="box"];705[label="xv310",fontsize=16,color="green",shape="box"];706[label="xv4010",fontsize=16,color="green",shape="box"];707[label="xv310",fontsize=16,color="green",shape="box"];708[label="xv4010",fontsize=16,color="green",shape="box"];709[label="xv310",fontsize=16,color="green",shape="box"];710[label="xv4010",fontsize=16,color="green",shape="box"];711[label="xv310",fontsize=16,color="green",shape="box"];712[label="xv4010",fontsize=16,color="green",shape="box"];713[label="xv310",fontsize=16,color="green",shape="box"];714[label="xv4010",fontsize=16,color="green",shape="box"];715[label="xv310",fontsize=16,color="green",shape="box"];716[label="xv4010",fontsize=16,color="green",shape="box"];717[label="xv310",fontsize=16,color="green",shape="box"];718[label="xv4010",fontsize=16,color="green",shape="box"];719[label="xv310",fontsize=16,color="green",shape="box"];720[label="xv4010",fontsize=16,color="green",shape="box"];721[label="xv310",fontsize=16,color="green",shape="box"];722[label="xv4010",fontsize=16,color="green",shape="box"];723[label="xv310",fontsize=16,color="green",shape="box"];724[label="primEqNat (Succ xv3100) (Succ xv40100)",fontsize=16,color="black",shape="box"];724 -> 810[label="",style="solid", color="black", weight=3]; 725[label="primEqNat (Succ xv3100) Zero",fontsize=16,color="black",shape="box"];725 -> 811[label="",style="solid", color="black", weight=3]; 726[label="primEqNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];726 -> 812[label="",style="solid", color="black", weight=3]; 727[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];727 -> 813[label="",style="solid", color="black", weight=3]; 728 -> 345[label="",style="dashed", color="red", weight=0]; 728[label="xv312 == xv4012",fontsize=16,color="magenta"];728 -> 814[label="",style="dashed", color="magenta", weight=3]; 728 -> 815[label="",style="dashed", color="magenta", weight=3]; 729 -> 346[label="",style="dashed", color="red", weight=0]; 729[label="xv312 == xv4012",fontsize=16,color="magenta"];729 -> 816[label="",style="dashed", color="magenta", weight=3]; 729 -> 817[label="",style="dashed", color="magenta", weight=3]; 730 -> 347[label="",style="dashed", color="red", weight=0]; 730[label="xv312 == xv4012",fontsize=16,color="magenta"];730 -> 818[label="",style="dashed", color="magenta", weight=3]; 730 -> 819[label="",style="dashed", color="magenta", weight=3]; 731 -> 348[label="",style="dashed", color="red", weight=0]; 731[label="xv312 == xv4012",fontsize=16,color="magenta"];731 -> 820[label="",style="dashed", color="magenta", weight=3]; 731 -> 821[label="",style="dashed", color="magenta", weight=3]; 732 -> 349[label="",style="dashed", color="red", weight=0]; 732[label="xv312 == xv4012",fontsize=16,color="magenta"];732 -> 822[label="",style="dashed", color="magenta", weight=3]; 732 -> 823[label="",style="dashed", color="magenta", weight=3]; 733 -> 350[label="",style="dashed", color="red", weight=0]; 733[label="xv312 == xv4012",fontsize=16,color="magenta"];733 -> 824[label="",style="dashed", color="magenta", weight=3]; 733 -> 825[label="",style="dashed", color="magenta", weight=3]; 734 -> 351[label="",style="dashed", color="red", weight=0]; 734[label="xv312 == xv4012",fontsize=16,color="magenta"];734 -> 826[label="",style="dashed", color="magenta", weight=3]; 734 -> 827[label="",style="dashed", color="magenta", weight=3]; 735 -> 352[label="",style="dashed", color="red", weight=0]; 735[label="xv312 == xv4012",fontsize=16,color="magenta"];735 -> 828[label="",style="dashed", color="magenta", weight=3]; 735 -> 829[label="",style="dashed", color="magenta", weight=3]; 736 -> 353[label="",style="dashed", color="red", weight=0]; 736[label="xv312 == xv4012",fontsize=16,color="magenta"];736 -> 830[label="",style="dashed", color="magenta", weight=3]; 736 -> 831[label="",style="dashed", color="magenta", weight=3]; 737 -> 354[label="",style="dashed", color="red", weight=0]; 737[label="xv312 == xv4012",fontsize=16,color="magenta"];737 -> 832[label="",style="dashed", color="magenta", weight=3]; 737 -> 833[label="",style="dashed", color="magenta", weight=3]; 738 -> 355[label="",style="dashed", color="red", weight=0]; 738[label="xv312 == xv4012",fontsize=16,color="magenta"];738 -> 834[label="",style="dashed", color="magenta", weight=3]; 738 -> 835[label="",style="dashed", color="magenta", weight=3]; 739 -> 334[label="",style="dashed", color="red", weight=0]; 739[label="xv312 == xv4012",fontsize=16,color="magenta"];739 -> 836[label="",style="dashed", color="magenta", weight=3]; 739 -> 837[label="",style="dashed", color="magenta", weight=3]; 740 -> 357[label="",style="dashed", color="red", weight=0]; 740[label="xv312 == xv4012",fontsize=16,color="magenta"];740 -> 838[label="",style="dashed", color="magenta", weight=3]; 740 -> 839[label="",style="dashed", color="magenta", weight=3]; 741 -> 358[label="",style="dashed", color="red", weight=0]; 741[label="xv312 == xv4012",fontsize=16,color="magenta"];741 -> 840[label="",style="dashed", color="magenta", weight=3]; 741 -> 841[label="",style="dashed", color="magenta", weight=3]; 742 -> 345[label="",style="dashed", color="red", weight=0]; 742[label="xv311 == xv4011",fontsize=16,color="magenta"];742 -> 842[label="",style="dashed", color="magenta", weight=3]; 742 -> 843[label="",style="dashed", color="magenta", weight=3]; 743 -> 346[label="",style="dashed", color="red", weight=0]; 743[label="xv311 == xv4011",fontsize=16,color="magenta"];743 -> 844[label="",style="dashed", color="magenta", weight=3]; 743 -> 845[label="",style="dashed", color="magenta", weight=3]; 744 -> 347[label="",style="dashed", color="red", weight=0]; 744[label="xv311 == xv4011",fontsize=16,color="magenta"];744 -> 846[label="",style="dashed", color="magenta", weight=3]; 744 -> 847[label="",style="dashed", color="magenta", weight=3]; 745 -> 348[label="",style="dashed", color="red", weight=0]; 745[label="xv311 == xv4011",fontsize=16,color="magenta"];745 -> 848[label="",style="dashed", color="magenta", weight=3]; 745 -> 849[label="",style="dashed", color="magenta", weight=3]; 746 -> 349[label="",style="dashed", color="red", weight=0]; 746[label="xv311 == xv4011",fontsize=16,color="magenta"];746 -> 850[label="",style="dashed", color="magenta", weight=3]; 746 -> 851[label="",style="dashed", color="magenta", weight=3]; 747 -> 350[label="",style="dashed", color="red", weight=0]; 747[label="xv311 == xv4011",fontsize=16,color="magenta"];747 -> 852[label="",style="dashed", color="magenta", weight=3]; 747 -> 853[label="",style="dashed", color="magenta", weight=3]; 748 -> 351[label="",style="dashed", color="red", weight=0]; 748[label="xv311 == xv4011",fontsize=16,color="magenta"];748 -> 854[label="",style="dashed", color="magenta", weight=3]; 748 -> 855[label="",style="dashed", color="magenta", weight=3]; 749 -> 352[label="",style="dashed", color="red", weight=0]; 749[label="xv311 == xv4011",fontsize=16,color="magenta"];749 -> 856[label="",style="dashed", color="magenta", weight=3]; 749 -> 857[label="",style="dashed", color="magenta", weight=3]; 750 -> 353[label="",style="dashed", color="red", weight=0]; 750[label="xv311 == xv4011",fontsize=16,color="magenta"];750 -> 858[label="",style="dashed", color="magenta", weight=3]; 750 -> 859[label="",style="dashed", color="magenta", weight=3]; 751 -> 354[label="",style="dashed", color="red", weight=0]; 751[label="xv311 == xv4011",fontsize=16,color="magenta"];751 -> 860[label="",style="dashed", color="magenta", weight=3]; 751 -> 861[label="",style="dashed", color="magenta", weight=3]; 752 -> 355[label="",style="dashed", color="red", weight=0]; 752[label="xv311 == xv4011",fontsize=16,color="magenta"];752 -> 862[label="",style="dashed", color="magenta", weight=3]; 752 -> 863[label="",style="dashed", color="magenta", weight=3]; 753 -> 334[label="",style="dashed", color="red", weight=0]; 753[label="xv311 == xv4011",fontsize=16,color="magenta"];753 -> 864[label="",style="dashed", color="magenta", weight=3]; 753 -> 865[label="",style="dashed", color="magenta", weight=3]; 754 -> 357[label="",style="dashed", color="red", weight=0]; 754[label="xv311 == xv4011",fontsize=16,color="magenta"];754 -> 866[label="",style="dashed", color="magenta", weight=3]; 754 -> 867[label="",style="dashed", color="magenta", weight=3]; 755 -> 358[label="",style="dashed", color="red", weight=0]; 755[label="xv311 == xv4011",fontsize=16,color="magenta"];755 -> 868[label="",style="dashed", color="magenta", weight=3]; 755 -> 869[label="",style="dashed", color="magenta", weight=3]; 756[label="xv4010",fontsize=16,color="green",shape="box"];757[label="xv310",fontsize=16,color="green",shape="box"];758[label="xv4010",fontsize=16,color="green",shape="box"];759[label="xv310",fontsize=16,color="green",shape="box"];760[label="xv4010",fontsize=16,color="green",shape="box"];761[label="xv310",fontsize=16,color="green",shape="box"];762[label="xv4010",fontsize=16,color="green",shape="box"];763[label="xv310",fontsize=16,color="green",shape="box"];764[label="xv4010",fontsize=16,color="green",shape="box"];765[label="xv310",fontsize=16,color="green",shape="box"];766[label="xv4010",fontsize=16,color="green",shape="box"];767[label="xv310",fontsize=16,color="green",shape="box"];768[label="xv4010",fontsize=16,color="green",shape="box"];769[label="xv310",fontsize=16,color="green",shape="box"];770[label="xv4010",fontsize=16,color="green",shape="box"];771[label="xv310",fontsize=16,color="green",shape="box"];772[label="xv4010",fontsize=16,color="green",shape="box"];773[label="xv310",fontsize=16,color="green",shape="box"];774[label="xv4010",fontsize=16,color="green",shape="box"];775[label="xv310",fontsize=16,color="green",shape="box"];776[label="xv4010",fontsize=16,color="green",shape="box"];777[label="xv310",fontsize=16,color="green",shape="box"];778[label="xv4010",fontsize=16,color="green",shape="box"];779[label="xv310",fontsize=16,color="green",shape="box"];780[label="xv4010",fontsize=16,color="green",shape="box"];781[label="xv310",fontsize=16,color="green",shape="box"];782[label="xv4010",fontsize=16,color="green",shape="box"];783[label="xv310",fontsize=16,color="green",shape="box"];784[label="xv4010",fontsize=16,color="green",shape="box"];785[label="xv311",fontsize=16,color="green",shape="box"];786[label="xv4011",fontsize=16,color="green",shape="box"];787[label="xv310",fontsize=16,color="green",shape="box"];788[label="xv4011",fontsize=16,color="green",shape="box"];789[label="xv311",fontsize=16,color="green",shape="box"];790[label="xv4011",fontsize=16,color="green",shape="box"];791[label="xv311",fontsize=16,color="green",shape="box"];792[label="xv4010",fontsize=16,color="green",shape="box"];793[label="xv310",fontsize=16,color="green",shape="box"];794[label="xv4010",fontsize=16,color="green",shape="box"];795[label="xv310",fontsize=16,color="green",shape="box"];796 -> 495[label="",style="dashed", color="red", weight=0]; 796[label="primEqNat xv3100 xv40100",fontsize=16,color="magenta"];796 -> 870[label="",style="dashed", color="magenta", weight=3]; 796 -> 871[label="",style="dashed", color="magenta", weight=3]; 797[label="False",fontsize=16,color="green",shape="box"];798[label="False",fontsize=16,color="green",shape="box"];799[label="True",fontsize=16,color="green",shape="box"];800[label="False",fontsize=16,color="green",shape="box"];801[label="True",fontsize=16,color="green",shape="box"];802 -> 495[label="",style="dashed", color="red", weight=0]; 802[label="primEqNat xv3100 xv40100",fontsize=16,color="magenta"];802 -> 872[label="",style="dashed", color="magenta", weight=3]; 802 -> 873[label="",style="dashed", color="magenta", weight=3]; 803[label="False",fontsize=16,color="green",shape="box"];804[label="False",fontsize=16,color="green",shape="box"];805[label="True",fontsize=16,color="green",shape="box"];806[label="False",fontsize=16,color="green",shape="box"];807[label="True",fontsize=16,color="green",shape="box"];808[label="primMulInt (Pos xv3110) xv4010",fontsize=16,color="burlywood",shape="box"];1146[label="xv4010/Pos xv40100",fontsize=10,color="white",style="solid",shape="box"];808 -> 1146[label="",style="solid", color="burlywood", weight=9]; 1146 -> 874[label="",style="solid", color="burlywood", weight=3]; 1147[label="xv4010/Neg xv40100",fontsize=10,color="white",style="solid",shape="box"];808 -> 1147[label="",style="solid", color="burlywood", weight=9]; 1147 -> 875[label="",style="solid", color="burlywood", weight=3]; 809[label="primMulInt (Neg xv3110) xv4010",fontsize=16,color="burlywood",shape="box"];1148[label="xv4010/Pos xv40100",fontsize=10,color="white",style="solid",shape="box"];809 -> 1148[label="",style="solid", color="burlywood", weight=9]; 1148 -> 876[label="",style="solid", color="burlywood", weight=3]; 1149[label="xv4010/Neg xv40100",fontsize=10,color="white",style="solid",shape="box"];809 -> 1149[label="",style="solid", color="burlywood", weight=9]; 1149 -> 877[label="",style="solid", color="burlywood", weight=3]; 810 -> 495[label="",style="dashed", color="red", weight=0]; 810[label="primEqNat xv3100 xv40100",fontsize=16,color="magenta"];810 -> 878[label="",style="dashed", color="magenta", weight=3]; 810 -> 879[label="",style="dashed", color="magenta", weight=3]; 811[label="False",fontsize=16,color="green",shape="box"];812[label="False",fontsize=16,color="green",shape="box"];813[label="True",fontsize=16,color="green",shape="box"];814[label="xv4012",fontsize=16,color="green",shape="box"];815[label="xv312",fontsize=16,color="green",shape="box"];816[label="xv4012",fontsize=16,color="green",shape="box"];817[label="xv312",fontsize=16,color="green",shape="box"];818[label="xv4012",fontsize=16,color="green",shape="box"];819[label="xv312",fontsize=16,color="green",shape="box"];820[label="xv4012",fontsize=16,color="green",shape="box"];821[label="xv312",fontsize=16,color="green",shape="box"];822[label="xv4012",fontsize=16,color="green",shape="box"];823[label="xv312",fontsize=16,color="green",shape="box"];824[label="xv4012",fontsize=16,color="green",shape="box"];825[label="xv312",fontsize=16,color="green",shape="box"];826[label="xv4012",fontsize=16,color="green",shape="box"];827[label="xv312",fontsize=16,color="green",shape="box"];828[label="xv4012",fontsize=16,color="green",shape="box"];829[label="xv312",fontsize=16,color="green",shape="box"];830[label="xv4012",fontsize=16,color="green",shape="box"];831[label="xv312",fontsize=16,color="green",shape="box"];832[label="xv4012",fontsize=16,color="green",shape="box"];833[label="xv312",fontsize=16,color="green",shape="box"];834[label="xv4012",fontsize=16,color="green",shape="box"];835[label="xv312",fontsize=16,color="green",shape="box"];836[label="xv4012",fontsize=16,color="green",shape="box"];837[label="xv312",fontsize=16,color="green",shape="box"];838[label="xv4012",fontsize=16,color="green",shape="box"];839[label="xv312",fontsize=16,color="green",shape="box"];840[label="xv4012",fontsize=16,color="green",shape="box"];841[label="xv312",fontsize=16,color="green",shape="box"];842[label="xv4011",fontsize=16,color="green",shape="box"];843[label="xv311",fontsize=16,color="green",shape="box"];844[label="xv4011",fontsize=16,color="green",shape="box"];845[label="xv311",fontsize=16,color="green",shape="box"];846[label="xv4011",fontsize=16,color="green",shape="box"];847[label="xv311",fontsize=16,color="green",shape="box"];848[label="xv4011",fontsize=16,color="green",shape="box"];849[label="xv311",fontsize=16,color="green",shape="box"];850[label="xv4011",fontsize=16,color="green",shape="box"];851[label="xv311",fontsize=16,color="green",shape="box"];852[label="xv4011",fontsize=16,color="green",shape="box"];853[label="xv311",fontsize=16,color="green",shape="box"];854[label="xv4011",fontsize=16,color="green",shape="box"];855[label="xv311",fontsize=16,color="green",shape="box"];856[label="xv4011",fontsize=16,color="green",shape="box"];857[label="xv311",fontsize=16,color="green",shape="box"];858[label="xv4011",fontsize=16,color="green",shape="box"];859[label="xv311",fontsize=16,color="green",shape="box"];860[label="xv4011",fontsize=16,color="green",shape="box"];861[label="xv311",fontsize=16,color="green",shape="box"];862[label="xv4011",fontsize=16,color="green",shape="box"];863[label="xv311",fontsize=16,color="green",shape="box"];864[label="xv4011",fontsize=16,color="green",shape="box"];865[label="xv311",fontsize=16,color="green",shape="box"];866[label="xv4011",fontsize=16,color="green",shape="box"];867[label="xv311",fontsize=16,color="green",shape="box"];868[label="xv4011",fontsize=16,color="green",shape="box"];869[label="xv311",fontsize=16,color="green",shape="box"];870[label="xv3100",fontsize=16,color="green",shape="box"];871[label="xv40100",fontsize=16,color="green",shape="box"];872[label="xv3100",fontsize=16,color="green",shape="box"];873[label="xv40100",fontsize=16,color="green",shape="box"];874[label="primMulInt (Pos xv3110) (Pos xv40100)",fontsize=16,color="black",shape="box"];874 -> 880[label="",style="solid", color="black", weight=3]; 875[label="primMulInt (Pos xv3110) (Neg xv40100)",fontsize=16,color="black",shape="box"];875 -> 881[label="",style="solid", color="black", weight=3]; 876[label="primMulInt (Neg xv3110) (Pos xv40100)",fontsize=16,color="black",shape="box"];876 -> 882[label="",style="solid", color="black", weight=3]; 877[label="primMulInt (Neg xv3110) (Neg xv40100)",fontsize=16,color="black",shape="box"];877 -> 883[label="",style="solid", color="black", weight=3]; 878[label="xv3100",fontsize=16,color="green",shape="box"];879[label="xv40100",fontsize=16,color="green",shape="box"];880[label="Pos (primMulNat xv3110 xv40100)",fontsize=16,color="green",shape="box"];880 -> 884[label="",style="dashed", color="green", weight=3]; 881[label="Neg (primMulNat xv3110 xv40100)",fontsize=16,color="green",shape="box"];881 -> 885[label="",style="dashed", color="green", weight=3]; 882[label="Neg (primMulNat xv3110 xv40100)",fontsize=16,color="green",shape="box"];882 -> 886[label="",style="dashed", color="green", weight=3]; 883[label="Pos (primMulNat xv3110 xv40100)",fontsize=16,color="green",shape="box"];883 -> 887[label="",style="dashed", color="green", weight=3]; 884[label="primMulNat xv3110 xv40100",fontsize=16,color="burlywood",shape="triangle"];1150[label="xv3110/Succ xv31100",fontsize=10,color="white",style="solid",shape="box"];884 -> 1150[label="",style="solid", color="burlywood", weight=9]; 1150 -> 888[label="",style="solid", color="burlywood", weight=3]; 1151[label="xv3110/Zero",fontsize=10,color="white",style="solid",shape="box"];884 -> 1151[label="",style="solid", color="burlywood", weight=9]; 1151 -> 889[label="",style="solid", color="burlywood", weight=3]; 885 -> 884[label="",style="dashed", color="red", weight=0]; 885[label="primMulNat xv3110 xv40100",fontsize=16,color="magenta"];885 -> 890[label="",style="dashed", color="magenta", weight=3]; 886 -> 884[label="",style="dashed", color="red", weight=0]; 886[label="primMulNat xv3110 xv40100",fontsize=16,color="magenta"];886 -> 891[label="",style="dashed", color="magenta", weight=3]; 887 -> 884[label="",style="dashed", color="red", weight=0]; 887[label="primMulNat xv3110 xv40100",fontsize=16,color="magenta"];887 -> 892[label="",style="dashed", color="magenta", weight=3]; 887 -> 893[label="",style="dashed", color="magenta", weight=3]; 888[label="primMulNat (Succ xv31100) xv40100",fontsize=16,color="burlywood",shape="box"];1152[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];888 -> 1152[label="",style="solid", color="burlywood", weight=9]; 1152 -> 894[label="",style="solid", color="burlywood", weight=3]; 1153[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];888 -> 1153[label="",style="solid", color="burlywood", weight=9]; 1153 -> 895[label="",style="solid", color="burlywood", weight=3]; 889[label="primMulNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];1154[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];889 -> 1154[label="",style="solid", color="burlywood", weight=9]; 1154 -> 896[label="",style="solid", color="burlywood", weight=3]; 1155[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];889 -> 1155[label="",style="solid", color="burlywood", weight=9]; 1155 -> 897[label="",style="solid", color="burlywood", weight=3]; 890[label="xv40100",fontsize=16,color="green",shape="box"];891[label="xv3110",fontsize=16,color="green",shape="box"];892[label="xv3110",fontsize=16,color="green",shape="box"];893[label="xv40100",fontsize=16,color="green",shape="box"];894[label="primMulNat (Succ xv31100) (Succ xv401000)",fontsize=16,color="black",shape="box"];894 -> 898[label="",style="solid", color="black", weight=3]; 895[label="primMulNat (Succ xv31100) Zero",fontsize=16,color="black",shape="box"];895 -> 899[label="",style="solid", color="black", weight=3]; 896[label="primMulNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];896 -> 900[label="",style="solid", color="black", weight=3]; 897[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];897 -> 901[label="",style="solid", color="black", weight=3]; 898 -> 902[label="",style="dashed", color="red", weight=0]; 898[label="primPlusNat (primMulNat xv31100 (Succ xv401000)) (Succ xv401000)",fontsize=16,color="magenta"];898 -> 903[label="",style="dashed", color="magenta", weight=3]; 899[label="Zero",fontsize=16,color="green",shape="box"];900[label="Zero",fontsize=16,color="green",shape="box"];901[label="Zero",fontsize=16,color="green",shape="box"];903 -> 884[label="",style="dashed", color="red", weight=0]; 903[label="primMulNat xv31100 (Succ xv401000)",fontsize=16,color="magenta"];903 -> 904[label="",style="dashed", color="magenta", weight=3]; 903 -> 905[label="",style="dashed", color="magenta", weight=3]; 902[label="primPlusNat xv34 (Succ xv401000)",fontsize=16,color="burlywood",shape="triangle"];1156[label="xv34/Succ xv340",fontsize=10,color="white",style="solid",shape="box"];902 -> 1156[label="",style="solid", color="burlywood", weight=9]; 1156 -> 906[label="",style="solid", color="burlywood", weight=3]; 1157[label="xv34/Zero",fontsize=10,color="white",style="solid",shape="box"];902 -> 1157[label="",style="solid", color="burlywood", weight=9]; 1157 -> 907[label="",style="solid", color="burlywood", weight=3]; 904[label="xv31100",fontsize=16,color="green",shape="box"];905[label="Succ xv401000",fontsize=16,color="green",shape="box"];906[label="primPlusNat (Succ xv340) (Succ xv401000)",fontsize=16,color="black",shape="box"];906 -> 908[label="",style="solid", color="black", weight=3]; 907[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];907 -> 909[label="",style="solid", color="black", weight=3]; 908[label="Succ (Succ (primPlusNat xv340 xv401000))",fontsize=16,color="green",shape="box"];908 -> 910[label="",style="dashed", color="green", weight=3]; 909[label="Succ xv401000",fontsize=16,color="green",shape="box"];910[label="primPlusNat xv340 xv401000",fontsize=16,color="burlywood",shape="triangle"];1158[label="xv340/Succ xv3400",fontsize=10,color="white",style="solid",shape="box"];910 -> 1158[label="",style="solid", color="burlywood", weight=9]; 1158 -> 911[label="",style="solid", color="burlywood", weight=3]; 1159[label="xv340/Zero",fontsize=10,color="white",style="solid",shape="box"];910 -> 1159[label="",style="solid", color="burlywood", weight=9]; 1159 -> 912[label="",style="solid", color="burlywood", weight=3]; 911[label="primPlusNat (Succ xv3400) xv401000",fontsize=16,color="burlywood",shape="box"];1160[label="xv401000/Succ xv4010000",fontsize=10,color="white",style="solid",shape="box"];911 -> 1160[label="",style="solid", color="burlywood", weight=9]; 1160 -> 913[label="",style="solid", color="burlywood", weight=3]; 1161[label="xv401000/Zero",fontsize=10,color="white",style="solid",shape="box"];911 -> 1161[label="",style="solid", color="burlywood", weight=9]; 1161 -> 914[label="",style="solid", color="burlywood", weight=3]; 912[label="primPlusNat Zero xv401000",fontsize=16,color="burlywood",shape="box"];1162[label="xv401000/Succ xv4010000",fontsize=10,color="white",style="solid",shape="box"];912 -> 1162[label="",style="solid", color="burlywood", weight=9]; 1162 -> 915[label="",style="solid", color="burlywood", weight=3]; 1163[label="xv401000/Zero",fontsize=10,color="white",style="solid",shape="box"];912 -> 1163[label="",style="solid", color="burlywood", weight=9]; 1163 -> 916[label="",style="solid", color="burlywood", weight=3]; 913[label="primPlusNat (Succ xv3400) (Succ xv4010000)",fontsize=16,color="black",shape="box"];913 -> 917[label="",style="solid", color="black", weight=3]; 914[label="primPlusNat (Succ xv3400) Zero",fontsize=16,color="black",shape="box"];914 -> 918[label="",style="solid", color="black", weight=3]; 915[label="primPlusNat Zero (Succ xv4010000)",fontsize=16,color="black",shape="box"];915 -> 919[label="",style="solid", color="black", weight=3]; 916[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];916 -> 920[label="",style="solid", color="black", weight=3]; 917[label="Succ (Succ (primPlusNat xv3400 xv4010000))",fontsize=16,color="green",shape="box"];917 -> 921[label="",style="dashed", color="green", weight=3]; 918[label="Succ xv3400",fontsize=16,color="green",shape="box"];919[label="Succ xv4010000",fontsize=16,color="green",shape="box"];920[label="Zero",fontsize=16,color="green",shape="box"];921 -> 910[label="",style="dashed", color="red", weight=0]; 921[label="primPlusNat xv3400 xv4010000",fontsize=16,color="magenta"];921 -> 922[label="",style="dashed", color="magenta", weight=3]; 921 -> 923[label="",style="dashed", color="magenta", weight=3]; 922[label="xv3400",fontsize=16,color="green",shape="box"];923[label="xv4010000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs2(Left(xv310), Left(xv4010), app(app(ty_@2, bac), bad), hd) -> new_esEs3(xv310, xv4010, bac, bad) new_esEs2(Right(xv310), Right(xv4010), bae, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs0(xv310, xv4010, bag, bah, bba) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(app(app(ty_@3, dh), ea), eb)), dg)) -> new_esEs0(xv311, xv4011, dh, ea, eb) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(ty_Maybe, fd), cc, dg) -> new_esEs1(xv310, xv4010, fd) new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(app(ty_Either, bbc), bbd))) -> new_esEs2(xv310, xv4010, bbc, bbd) new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(ty_[], hc)), hd)) -> new_esEs(xv310, xv4010, hc) new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(app(ty_@2, bac), bad)), hd)) -> new_esEs3(xv310, xv4010, bac, bad) new_esEs2(Left(xv310), Left(xv4010), app(ty_Maybe, hh), hd) -> new_esEs1(xv310, xv4010, hh) new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(app(app(ty_@3, bcd), bce), bcf), bcc) -> new_esEs0(xv30, xv400, bcd, bce, bcf) new_esEs2(Right(xv310), Right(xv4010), bae, app(app(ty_Either, bbc), bbd)) -> new_esEs2(xv310, xv4010, bbc, bbd) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(ty_[], ba))) -> new_esEs(xv310, xv4010, ba) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(ty_Maybe, da)) -> new_esEs1(xv312, xv4012, da) new_esEs2(Right(xv310), Right(xv4010), bae, app(ty_Maybe, bbb)) -> new_esEs1(xv310, xv4010, bbb) new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(app(ty_@2, bh), ca)) -> new_esEs3(xv310, xv4010, bh, ca) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(ty_Maybe, ec), dg) -> new_esEs1(xv311, xv4011, ec) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(app(app(ty_@3, fa), fb), fc)), cc), dg)) -> new_esEs0(xv310, xv4010, fa, fb, fc) new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(ty_Maybe, be)) -> new_esEs1(xv310, xv4010, be) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(ty_Maybe, ec)), dg)) -> new_esEs1(xv311, xv4011, ec) new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(ty_[], ba)) -> new_esEs(xv310, xv4010, ba) new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(ty_[], baf))) -> new_esEs(xv310, xv4010, baf) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(app(ty_@2, fh), ga), cc, dg) -> new_esEs3(xv310, xv4010, fh, ga) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(app(ty_Either, db), dc))) -> new_esEs2(xv312, xv4012, db, dc) new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_Either, bch), bda), bcc) -> new_esEs2(xv30, xv400, bch, bda) new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(ty_Maybe, bcg), bcc) -> new_esEs1(xv30, xv400, bcg) new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(app(ty_@2, bbe), bbf))) -> new_esEs3(xv310, xv4010, bbe, bbf) new_esEs2(Left(xv310), Left(xv4010), app(app(ty_Either, baa), bab), hd) -> new_esEs2(xv310, xv4010, baa, bab) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(ty_Maybe, fd)), cc), dg)) -> new_esEs1(xv310, xv4010, fd) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(ty_[], eh), cc, dg) -> new_esEs(xv310, xv4010, eh) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(app(ty_@2, bh), ca))) -> new_esEs3(xv310, xv4010, bh, ca) new_esEs2(Right(xv310), Right(xv4010), bae, app(ty_[], baf)) -> new_esEs(xv310, xv4010, baf) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(ty_[], cd)) -> new_esEs(xv312, xv4012, cd) new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(app(ty_Either, gg), gh))) -> new_esEs2(xv310, xv4010, gg, gh) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(app(ty_@2, dd), de))) -> new_esEs3(xv312, xv4012, dd, de) new_esEs2(Right(xv310), Right(xv4010), bae, app(app(ty_@2, bbe), bbf)) -> new_esEs3(xv310, xv4010, bbe, bbf) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(app(ty_Either, ed), ee)), dg)) -> new_esEs2(xv311, xv4011, ed, ee) new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(app(app(ty_@3, he), hf), hg)), hd)) -> new_esEs0(xv310, xv4010, he, hf, hg) new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(ty_Maybe, hh)), hd)) -> new_esEs1(xv310, xv4010, hh) new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(ty_[], gb))) -> new_esEs(xv310, xv4010, gb) new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(ty_[], bcb), bcc) -> new_esEs(xv30, xv400, bcb) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(ty_[], cd))) -> new_esEs(xv312, xv4012, cd) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(app(app(ty_@3, ce), cf), cg))) -> new_esEs0(xv312, xv4012, ce, cf, cg) new_esEs1(Just(xv310), Just(xv4010), app(ty_Maybe, gf)) -> new_esEs1(xv310, xv4010, gf) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(ty_Maybe, da))) -> new_esEs1(xv312, xv4012, da) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(app(app(ty_@3, bb), bc), bd))) -> new_esEs0(xv310, xv4010, bb, bc, bd) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(app(ty_Either, ed), ee), dg) -> new_esEs2(xv311, xv4011, ed, ee) new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(ty_Maybe, gf))) -> new_esEs1(xv310, xv4010, gf) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(ty_[], eh)), cc), dg)) -> new_esEs(xv310, xv4010, eh) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(app(app(ty_@3, dh), ea), eb), dg) -> new_esEs0(xv311, xv4011, dh, ea, eb) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(app(ty_Either, ff), fg)), cc), dg)) -> new_esEs2(xv310, xv4010, ff, fg) new_esEs(:(xv310, xv311), :(xv4010, xv4011), h) -> new_esEs(xv311, xv4011, h) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(app(ty_Either, ff), fg), cc, dg) -> new_esEs2(xv310, xv4010, ff, fg) new_esEs1(Just(xv310), Just(xv4010), app(app(ty_Either, gg), gh)) -> new_esEs2(xv310, xv4010, gg, gh) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(ty_[], df)), dg)) -> new_esEs(xv311, xv4011, df) new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(app(app(ty_@3, bag), bah), bba))) -> new_esEs0(xv310, xv4010, bag, bah, bba) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(app(ty_@2, ef), eg), dg) -> new_esEs3(xv311, xv4011, ef, eg) new_esEs1(Just(xv310), Just(xv4010), app(app(ty_@2, ha), hb)) -> new_esEs3(xv310, xv4010, ha, hb) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(app(ty_Either, bf), bg))) -> new_esEs2(xv310, xv4010, bf, bg) new_esEs3(@2(xv30, xv31), @2(xv400, xv401), bbg, app(app(ty_@2, bbh), bca)) -> new_esEs3(xv31, xv401, bbh, bca) new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(app(app(ty_@3, bb), bc), bd)) -> new_esEs0(xv310, xv4010, bb, bc, bd) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(xv312, xv4012, ce, cf, cg) new_esEs1(Just(xv310), Just(xv4010), app(app(app(ty_@3, gc), gd), ge)) -> new_esEs0(xv310, xv4010, gc, gd, ge) new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(ty_Maybe, bbb))) -> new_esEs1(xv310, xv4010, bbb) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], h)) -> new_esEs(xv311, xv4011, h) new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(ty_Maybe, be))) -> new_esEs1(xv310, xv4010, be) new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(app(ty_@2, ha), hb))) -> new_esEs3(xv310, xv4010, ha, hb) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(app(ty_@2, fh), ga)), cc), dg)) -> new_esEs3(xv310, xv4010, fh, ga) new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(app(ty_Either, bf), bg)) -> new_esEs2(xv310, xv4010, bf, bg) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(ty_[], df), dg) -> new_esEs(xv311, xv4011, df) new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, bdb), bdc), bcc) -> new_esEs3(xv30, xv400, bdb, bdc) new_esEs1(Just(xv310), Just(xv4010), app(ty_[], gb)) -> new_esEs(xv310, xv4010, gb) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(app(ty_@2, dd), de)) -> new_esEs3(xv312, xv4012, dd, de) new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(app(ty_@2, ef), eg)), dg)) -> new_esEs3(xv311, xv4011, ef, eg) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(app(ty_Either, db), dc)) -> new_esEs2(xv312, xv4012, db, dc) new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(app(ty_Either, baa), bab)), hd)) -> new_esEs2(xv310, xv4010, baa, bab) new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(app(app(ty_@3, fa), fb), fc), cc, dg) -> new_esEs0(xv310, xv4010, fa, fb, fc) new_esEs2(Left(xv310), Left(xv4010), app(ty_[], hc), hd) -> new_esEs(xv310, xv4010, hc) new_esEs2(Left(xv310), Left(xv4010), app(app(app(ty_@3, he), hf), hg), hd) -> new_esEs0(xv310, xv4010, he, hf, hg) new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(app(app(ty_@3, gc), gd), ge))) -> new_esEs0(xv310, xv4010, gc, gd, ge) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs1(Just(xv310), Just(xv4010), app(app(ty_Either, gg), gh)) -> new_esEs2(xv310, xv4010, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv310), Just(xv4010), app(app(ty_@2, ha), hb)) -> new_esEs3(xv310, xv4010, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv310), Just(xv4010), app(app(app(ty_@3, gc), gd), ge)) -> new_esEs0(xv310, xv4010, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(app(ty_Either, bf), bg)) -> new_esEs2(xv310, xv4010, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(app(ty_@2, bh), ca)) -> new_esEs3(xv310, xv4010, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(app(app(ty_@3, bb), bc), bd)) -> new_esEs0(xv310, xv4010, bb, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xv310), Just(xv4010), app(ty_[], gb)) -> new_esEs(xv310, xv4010, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xv310), Just(xv4010), app(ty_Maybe, gf)) -> new_esEs1(xv310, xv4010, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(ty_Maybe, be)) -> new_esEs1(xv310, xv4010, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(app(ty_Either, bbc), bbd))) -> new_esEs2(xv310, xv4010, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(app(ty_Either, db), dc))) -> new_esEs2(xv312, xv4012, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_Either, bch), bda), bcc) -> new_esEs2(xv30, xv400, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(app(ty_Either, gg), gh))) -> new_esEs2(xv310, xv4010, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(app(ty_Either, ed), ee)), dg)) -> new_esEs2(xv311, xv4011, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(app(ty_Either, ff), fg)), cc), dg)) -> new_esEs2(xv310, xv4010, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(app(ty_Either, bf), bg))) -> new_esEs2(xv310, xv4010, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(app(ty_Either, baa), bab)), hd)) -> new_esEs2(xv310, xv4010, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(app(ty_@2, bac), bad)), hd)) -> new_esEs3(xv310, xv4010, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(app(ty_@2, bbe), bbf))) -> new_esEs3(xv310, xv4010, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(app(ty_@2, bh), ca))) -> new_esEs3(xv310, xv4010, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(app(ty_@2, dd), de))) -> new_esEs3(xv312, xv4012, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv400, xv401), bbg, app(app(ty_@2, bbh), bca)) -> new_esEs3(xv31, xv401, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(app(ty_@2, ha), hb))) -> new_esEs3(xv310, xv4010, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(app(ty_@2, fh), ga)), cc), dg)) -> new_esEs3(xv310, xv4010, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, bdb), bdc), bcc) -> new_esEs3(xv30, xv400, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(app(ty_@2, ef), eg)), dg)) -> new_esEs3(xv311, xv4011, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(app(app(ty_@3, dh), ea), eb)), dg)) -> new_esEs0(xv311, xv4011, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(app(app(ty_@3, bcd), bce), bcf), bcc) -> new_esEs0(xv30, xv400, bcd, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(app(app(ty_@3, fa), fb), fc)), cc), dg)) -> new_esEs0(xv310, xv4010, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(app(app(ty_@3, he), hf), hg)), hd)) -> new_esEs0(xv310, xv4010, he, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(app(app(ty_@3, ce), cf), cg))) -> new_esEs0(xv312, xv4012, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(app(app(ty_@3, bb), bc), bd))) -> new_esEs0(xv310, xv4010, bb, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(app(app(ty_@3, bag), bah), bba))) -> new_esEs0(xv310, xv4010, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(app(app(ty_@3, gc), gd), ge))) -> new_esEs0(xv310, xv4010, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(ty_[], hc)), hd)) -> new_esEs(xv310, xv4010, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(ty_[], ba))) -> new_esEs(xv310, xv4010, ba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(ty_[], baf))) -> new_esEs(xv310, xv4010, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(ty_[], gb))) -> new_esEs(xv310, xv4010, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(ty_[], bcb), bcc) -> new_esEs(xv30, xv400, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(ty_[], cd))) -> new_esEs(xv312, xv4012, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(ty_[], eh)), cc), dg)) -> new_esEs(xv310, xv4010, eh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(ty_[], df)), dg)) -> new_esEs(xv311, xv4011, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], h)) -> new_esEs(xv311, xv4011, h) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), app(ty_Maybe, ec)), dg)) -> new_esEs1(xv311, xv4011, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, xv31), @2(xv400, xv401), app(ty_Maybe, bcg), bcc) -> new_esEs1(xv30, xv400, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, app(ty_Maybe, fd)), cc), dg)) -> new_esEs1(xv310, xv4010, fd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Left(xv310)), @2(xv400, Left(xv4010)), bbg, app(app(ty_Either, app(ty_Maybe, hh)), hd)) -> new_esEs1(xv310, xv4010, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, @3(xv310, xv311, xv312)), @2(xv400, @3(xv4010, xv4011, xv4012)), bbg, app(app(app(ty_@3, cb), cc), app(ty_Maybe, da))) -> new_esEs1(xv312, xv4012, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Just(xv310)), @2(xv400, Just(xv4010)), bbg, app(ty_Maybe, app(ty_Maybe, gf))) -> new_esEs1(xv310, xv4010, gf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, Right(xv310)), @2(xv400, Right(xv4010)), bbg, app(app(ty_Either, bae), app(ty_Maybe, bbb))) -> new_esEs1(xv310, xv4010, bbb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, :(xv310, xv311)), @2(xv400, :(xv4010, xv4011)), bbg, app(ty_[], app(ty_Maybe, be))) -> new_esEs1(xv310, xv4010, be) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(app(ty_Either, ed), ee), dg) -> new_esEs2(xv311, xv4011, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(app(ty_Either, ff), fg), cc, dg) -> new_esEs2(xv310, xv4010, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(app(ty_Either, db), dc)) -> new_esEs2(xv312, xv4012, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(Right(xv310), Right(xv4010), bae, app(app(ty_Either, bbc), bbd)) -> new_esEs2(xv310, xv4010, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Left(xv310), Left(xv4010), app(app(ty_Either, baa), bab), hd) -> new_esEs2(xv310, xv4010, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(app(ty_@2, fh), ga), cc, dg) -> new_esEs3(xv310, xv4010, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(app(ty_@2, ef), eg), dg) -> new_esEs3(xv311, xv4011, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(app(ty_@2, dd), de)) -> new_esEs3(xv312, xv4012, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(app(app(ty_@3, dh), ea), eb), dg) -> new_esEs0(xv311, xv4011, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(xv312, xv4012, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(app(app(ty_@3, fa), fb), fc), cc, dg) -> new_esEs0(xv310, xv4010, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(ty_[], eh), cc, dg) -> new_esEs(xv310, xv4010, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(ty_[], cd)) -> new_esEs(xv312, xv4012, cd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(ty_[], df), dg) -> new_esEs(xv311, xv4011, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), app(ty_Maybe, fd), cc, dg) -> new_esEs1(xv310, xv4010, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, cc, app(ty_Maybe, da)) -> new_esEs1(xv312, xv4012, da) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv310, xv311, xv312), @3(xv4010, xv4011, xv4012), cb, app(ty_Maybe, ec), dg) -> new_esEs1(xv311, xv4011, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(Left(xv310), Left(xv4010), app(app(ty_@2, bac), bad), hd) -> new_esEs3(xv310, xv4010, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Right(xv310), Right(xv4010), bae, app(app(ty_@2, bbe), bbf)) -> new_esEs3(xv310, xv4010, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Right(xv310), Right(xv4010), bae, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs0(xv310, xv4010, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(Left(xv310), Left(xv4010), app(app(app(ty_@3, he), hf), hg), hd) -> new_esEs0(xv310, xv4010, he, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Right(xv310), Right(xv4010), bae, app(ty_[], baf)) -> new_esEs(xv310, xv4010, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(Left(xv310), Left(xv4010), app(ty_[], hc), hd) -> new_esEs(xv310, xv4010, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Left(xv310), Left(xv4010), app(ty_Maybe, hh), hd) -> new_esEs1(xv310, xv4010, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Right(xv310), Right(xv4010), bae, app(ty_Maybe, bbb)) -> new_esEs1(xv310, xv4010, bbb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(:(xv310, xv311), :(xv4010, xv4011), app(ty_[], ba)) -> new_esEs(xv310, xv4010, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv310, xv311), :(xv4010, xv4011), h) -> new_esEs(xv311, xv4011, h) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv31100), Succ(xv401000)) -> new_primMulNat(xv31100, Succ(xv401000)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xv31100), Succ(xv401000)) -> new_primMulNat(xv31100, Succ(xv401000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv3400), Succ(xv4010000)) -> new_primPlusNat(xv3400, xv4010000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xv3400), Succ(xv4010000)) -> new_primPlusNat(xv3400, xv4010000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xv3100), Succ(xv40100)) -> new_primEqNat(xv3100, xv40100) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xv3100), Succ(xv40100)) -> new_primEqNat(xv3100, xv40100) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES