/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 25 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(/=) xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5 -> 87[label="",style="dashed", color="red", weight=0]; 5[label="not (xv3 == xv4)",fontsize=16,color="magenta"];5 -> 88[label="",style="dashed", color="magenta", weight=3]; 88[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];927[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];88 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 93[label="",style="solid", color="burlywood", weight=3]; 87[label="not xv14",fontsize=16,color="burlywood",shape="triangle"];928[label="xv14/False",fontsize=10,color="white",style="solid",shape="box"];87 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 94[label="",style="solid", color="burlywood", weight=3]; 929[label="xv14/True",fontsize=10,color="white",style="solid",shape="box"];87 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 95[label="",style="solid", color="burlywood", weight=3]; 93[label="(xv30,xv31) == xv4",fontsize=16,color="burlywood",shape="box"];930[label="xv4/(xv40,xv41)",fontsize=10,color="white",style="solid",shape="box"];93 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 96[label="",style="solid", color="burlywood", weight=3]; 94[label="not False",fontsize=16,color="black",shape="box"];94 -> 97[label="",style="solid", color="black", weight=3]; 95[label="not True",fontsize=16,color="black",shape="box"];95 -> 98[label="",style="solid", color="black", weight=3]; 96[label="(xv30,xv31) == (xv40,xv41)",fontsize=16,color="black",shape="box"];96 -> 99[label="",style="solid", color="black", weight=3]; 97[label="True",fontsize=16,color="green",shape="box"];98[label="False",fontsize=16,color="green",shape="box"];99 -> 339[label="",style="dashed", color="red", weight=0]; 99[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];99 -> 340[label="",style="dashed", color="magenta", weight=3]; 99 -> 341[label="",style="dashed", color="magenta", weight=3]; 340[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];931[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 344[label="",style="solid", color="blue", weight=3]; 932[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 345[label="",style="solid", color="blue", weight=3]; 933[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 346[label="",style="solid", color="blue", weight=3]; 934[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 347[label="",style="solid", color="blue", weight=3]; 935[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 348[label="",style="solid", color="blue", weight=3]; 936[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 349[label="",style="solid", color="blue", weight=3]; 937[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 350[label="",style="solid", color="blue", weight=3]; 938[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 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"];340 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 352[label="",style="solid", color="blue", weight=3]; 940[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 353[label="",style="solid", color="blue", weight=3]; 941[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 354[label="",style="solid", color="blue", weight=3]; 942[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 355[label="",style="solid", color="blue", weight=3]; 943[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 356[label="",style="solid", color="blue", weight=3]; 944[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];340 -> 944[label="",style="solid", color="blue", weight=9]; 944 -> 357[label="",style="solid", color="blue", weight=3]; 341[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];945[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 945[label="",style="solid", color="blue", weight=9]; 945 -> 358[label="",style="solid", color="blue", weight=3]; 946[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 359[label="",style="solid", color="blue", weight=3]; 947[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 360[label="",style="solid", color="blue", weight=3]; 948[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 361[label="",style="solid", color="blue", weight=3]; 949[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 362[label="",style="solid", color="blue", weight=3]; 950[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 363[label="",style="solid", color="blue", weight=3]; 951[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 364[label="",style="solid", color="blue", weight=3]; 952[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 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"];341 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 366[label="",style="solid", color="blue", weight=3]; 954[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 367[label="",style="solid", color="blue", weight=3]; 955[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 368[label="",style="solid", color="blue", weight=3]; 956[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 369[label="",style="solid", color="blue", weight=3]; 957[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 370[label="",style="solid", color="blue", weight=3]; 958[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 371[label="",style="solid", color="blue", weight=3]; 339[label="xv26 && xv27",fontsize=16,color="burlywood",shape="triangle"];959[label="xv26/False",fontsize=10,color="white",style="solid",shape="box"];339 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 372[label="",style="solid", color="burlywood", weight=3]; 960[label="xv26/True",fontsize=10,color="white",style="solid",shape="box"];339 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 373[label="",style="solid", color="burlywood", weight=3]; 344[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];344 -> 374[label="",style="solid", color="black", weight=3]; 345[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];961[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];345 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 375[label="",style="solid", color="burlywood", weight=3]; 962[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];345 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 376[label="",style="solid", color="burlywood", weight=3]; 346[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];963[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];346 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 377[label="",style="solid", color="burlywood", weight=3]; 347 -> 88[label="",style="dashed", color="red", weight=0]; 347[label="xv30 == xv40",fontsize=16,color="magenta"];347 -> 378[label="",style="dashed", color="magenta", weight=3]; 347 -> 379[label="",style="dashed", color="magenta", weight=3]; 348[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];964[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];348 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 380[label="",style="solid", color="burlywood", weight=3]; 965[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];348 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 381[label="",style="solid", color="burlywood", weight=3]; 966[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];348 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 382[label="",style="solid", color="burlywood", weight=3]; 349[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];967[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];349 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 383[label="",style="solid", color="burlywood", weight=3]; 968[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];349 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 384[label="",style="solid", color="burlywood", weight=3]; 350[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];350 -> 385[label="",style="solid", color="black", weight=3]; 351[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];969[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];351 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 386[label="",style="solid", color="burlywood", weight=3]; 970[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];351 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 387[label="",style="solid", color="burlywood", weight=3]; 352[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];971[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];352 -> 971[label="",style="solid", color="burlywood", weight=9]; 971 -> 388[label="",style="solid", color="burlywood", weight=3]; 972[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];352 -> 972[label="",style="solid", color="burlywood", weight=9]; 972 -> 389[label="",style="solid", color="burlywood", weight=3]; 353[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];973[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];353 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 390[label="",style="solid", color="burlywood", weight=3]; 354[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];974[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];354 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 391[label="",style="solid", color="burlywood", weight=3]; 355[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];355 -> 392[label="",style="solid", color="black", weight=3]; 356[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];356 -> 393[label="",style="solid", color="black", weight=3]; 357[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];975[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];357 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 394[label="",style="solid", color="burlywood", weight=3]; 358 -> 344[label="",style="dashed", color="red", weight=0]; 358[label="xv31 == xv41",fontsize=16,color="magenta"];358 -> 395[label="",style="dashed", color="magenta", weight=3]; 358 -> 396[label="",style="dashed", color="magenta", weight=3]; 359 -> 345[label="",style="dashed", color="red", weight=0]; 359[label="xv31 == xv41",fontsize=16,color="magenta"];359 -> 397[label="",style="dashed", color="magenta", weight=3]; 359 -> 398[label="",style="dashed", color="magenta", weight=3]; 360 -> 346[label="",style="dashed", color="red", weight=0]; 360[label="xv31 == xv41",fontsize=16,color="magenta"];360 -> 399[label="",style="dashed", color="magenta", weight=3]; 360 -> 400[label="",style="dashed", color="magenta", weight=3]; 361 -> 88[label="",style="dashed", color="red", weight=0]; 361[label="xv31 == xv41",fontsize=16,color="magenta"];361 -> 401[label="",style="dashed", color="magenta", weight=3]; 361 -> 402[label="",style="dashed", color="magenta", weight=3]; 362 -> 348[label="",style="dashed", color="red", weight=0]; 362[label="xv31 == xv41",fontsize=16,color="magenta"];362 -> 403[label="",style="dashed", color="magenta", weight=3]; 362 -> 404[label="",style="dashed", color="magenta", weight=3]; 363 -> 349[label="",style="dashed", color="red", weight=0]; 363[label="xv31 == xv41",fontsize=16,color="magenta"];363 -> 405[label="",style="dashed", color="magenta", weight=3]; 363 -> 406[label="",style="dashed", color="magenta", weight=3]; 364 -> 350[label="",style="dashed", color="red", weight=0]; 364[label="xv31 == xv41",fontsize=16,color="magenta"];364 -> 407[label="",style="dashed", color="magenta", weight=3]; 364 -> 408[label="",style="dashed", color="magenta", weight=3]; 365 -> 351[label="",style="dashed", color="red", weight=0]; 365[label="xv31 == xv41",fontsize=16,color="magenta"];365 -> 409[label="",style="dashed", color="magenta", weight=3]; 365 -> 410[label="",style="dashed", color="magenta", weight=3]; 366 -> 352[label="",style="dashed", color="red", weight=0]; 366[label="xv31 == xv41",fontsize=16,color="magenta"];366 -> 411[label="",style="dashed", color="magenta", weight=3]; 366 -> 412[label="",style="dashed", color="magenta", weight=3]; 367 -> 353[label="",style="dashed", color="red", weight=0]; 367[label="xv31 == xv41",fontsize=16,color="magenta"];367 -> 413[label="",style="dashed", color="magenta", weight=3]; 367 -> 414[label="",style="dashed", color="magenta", weight=3]; 368 -> 354[label="",style="dashed", color="red", weight=0]; 368[label="xv31 == xv41",fontsize=16,color="magenta"];368 -> 415[label="",style="dashed", color="magenta", weight=3]; 368 -> 416[label="",style="dashed", color="magenta", weight=3]; 369 -> 355[label="",style="dashed", color="red", weight=0]; 369[label="xv31 == xv41",fontsize=16,color="magenta"];369 -> 417[label="",style="dashed", color="magenta", weight=3]; 369 -> 418[label="",style="dashed", color="magenta", weight=3]; 370 -> 356[label="",style="dashed", color="red", weight=0]; 370[label="xv31 == xv41",fontsize=16,color="magenta"];370 -> 419[label="",style="dashed", color="magenta", weight=3]; 370 -> 420[label="",style="dashed", color="magenta", weight=3]; 371 -> 357[label="",style="dashed", color="red", weight=0]; 371[label="xv31 == xv41",fontsize=16,color="magenta"];371 -> 421[label="",style="dashed", color="magenta", weight=3]; 371 -> 422[label="",style="dashed", color="magenta", weight=3]; 372[label="False && xv27",fontsize=16,color="black",shape="box"];372 -> 423[label="",style="solid", color="black", weight=3]; 373[label="True && xv27",fontsize=16,color="black",shape="box"];373 -> 424[label="",style="solid", color="black", weight=3]; 374[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];976[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];374 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 425[label="",style="solid", color="burlywood", weight=3]; 375[label="xv300 : xv301 == xv40",fontsize=16,color="burlywood",shape="box"];977[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];375 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 426[label="",style="solid", color="burlywood", weight=3]; 978[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];375 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 427[label="",style="solid", color="burlywood", weight=3]; 376[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];979[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];376 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 428[label="",style="solid", color="burlywood", weight=3]; 980[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];376 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 429[label="",style="solid", color="burlywood", weight=3]; 377[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];981[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];377 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 430[label="",style="solid", color="burlywood", weight=3]; 378[label="xv30",fontsize=16,color="green",shape="box"];379[label="xv40",fontsize=16,color="green",shape="box"];380[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];982[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];380 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 431[label="",style="solid", color="burlywood", weight=3]; 983[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];380 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 432[label="",style="solid", color="burlywood", weight=3]; 984[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];380 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 433[label="",style="solid", color="burlywood", weight=3]; 381[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];985[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];381 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 434[label="",style="solid", color="burlywood", weight=3]; 986[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];381 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 435[label="",style="solid", color="burlywood", weight=3]; 987[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];381 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 436[label="",style="solid", color="burlywood", weight=3]; 382[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];988[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];382 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 437[label="",style="solid", color="burlywood", weight=3]; 989[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];382 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 438[label="",style="solid", color="burlywood", weight=3]; 990[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];382 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 439[label="",style="solid", color="burlywood", weight=3]; 383[label="Left xv300 == xv40",fontsize=16,color="burlywood",shape="box"];991[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];383 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 440[label="",style="solid", color="burlywood", weight=3]; 992[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];383 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 441[label="",style="solid", color="burlywood", weight=3]; 384[label="Right xv300 == xv40",fontsize=16,color="burlywood",shape="box"];993[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];384 -> 993[label="",style="solid", color="burlywood", weight=9]; 993 -> 442[label="",style="solid", color="burlywood", weight=3]; 994[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];384 -> 994[label="",style="solid", color="burlywood", weight=9]; 994 -> 443[label="",style="solid", color="burlywood", weight=3]; 385[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];995[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];385 -> 995[label="",style="solid", color="burlywood", weight=9]; 995 -> 444[label="",style="solid", color="burlywood", weight=3]; 996[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];385 -> 996[label="",style="solid", color="burlywood", weight=9]; 996 -> 445[label="",style="solid", color="burlywood", weight=3]; 386[label="False == xv40",fontsize=16,color="burlywood",shape="box"];997[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];386 -> 997[label="",style="solid", color="burlywood", weight=9]; 997 -> 446[label="",style="solid", color="burlywood", weight=3]; 998[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];386 -> 998[label="",style="solid", color="burlywood", weight=9]; 998 -> 447[label="",style="solid", color="burlywood", weight=3]; 387[label="True == xv40",fontsize=16,color="burlywood",shape="box"];999[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];387 -> 999[label="",style="solid", color="burlywood", weight=9]; 999 -> 448[label="",style="solid", color="burlywood", weight=3]; 1000[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];387 -> 1000[label="",style="solid", color="burlywood", weight=9]; 1000 -> 449[label="",style="solid", color="burlywood", weight=3]; 388[label="Nothing == xv40",fontsize=16,color="burlywood",shape="box"];1001[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];388 -> 1001[label="",style="solid", color="burlywood", weight=9]; 1001 -> 450[label="",style="solid", color="burlywood", weight=3]; 1002[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];388 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 451[label="",style="solid", color="burlywood", weight=3]; 389[label="Just xv300 == xv40",fontsize=16,color="burlywood",shape="box"];1003[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];389 -> 1003[label="",style="solid", color="burlywood", weight=9]; 1003 -> 452[label="",style="solid", color="burlywood", weight=3]; 1004[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];389 -> 1004[label="",style="solid", color="burlywood", weight=9]; 1004 -> 453[label="",style="solid", color="burlywood", weight=3]; 390[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];1005[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];390 -> 1005[label="",style="solid", color="burlywood", weight=9]; 1005 -> 454[label="",style="solid", color="burlywood", weight=3]; 391[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];1006[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];391 -> 1006[label="",style="solid", color="burlywood", weight=9]; 1006 -> 455[label="",style="solid", color="burlywood", weight=3]; 392[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];1007[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];392 -> 1007[label="",style="solid", color="burlywood", weight=9]; 1007 -> 456[label="",style="solid", color="burlywood", weight=3]; 393[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];1008[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];393 -> 1008[label="",style="solid", color="burlywood", weight=9]; 1008 -> 457[label="",style="solid", color="burlywood", weight=3]; 394[label="() == xv40",fontsize=16,color="burlywood",shape="box"];1009[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];394 -> 1009[label="",style="solid", color="burlywood", weight=9]; 1009 -> 458[label="",style="solid", color="burlywood", weight=3]; 395[label="xv41",fontsize=16,color="green",shape="box"];396[label="xv31",fontsize=16,color="green",shape="box"];397[label="xv41",fontsize=16,color="green",shape="box"];398[label="xv31",fontsize=16,color="green",shape="box"];399[label="xv41",fontsize=16,color="green",shape="box"];400[label="xv31",fontsize=16,color="green",shape="box"];401[label="xv31",fontsize=16,color="green",shape="box"];402[label="xv41",fontsize=16,color="green",shape="box"];403[label="xv41",fontsize=16,color="green",shape="box"];404[label="xv31",fontsize=16,color="green",shape="box"];405[label="xv41",fontsize=16,color="green",shape="box"];406[label="xv31",fontsize=16,color="green",shape="box"];407[label="xv41",fontsize=16,color="green",shape="box"];408[label="xv31",fontsize=16,color="green",shape="box"];409[label="xv41",fontsize=16,color="green",shape="box"];410[label="xv31",fontsize=16,color="green",shape="box"];411[label="xv41",fontsize=16,color="green",shape="box"];412[label="xv31",fontsize=16,color="green",shape="box"];413[label="xv41",fontsize=16,color="green",shape="box"];414[label="xv31",fontsize=16,color="green",shape="box"];415[label="xv41",fontsize=16,color="green",shape="box"];416[label="xv31",fontsize=16,color="green",shape="box"];417[label="xv41",fontsize=16,color="green",shape="box"];418[label="xv31",fontsize=16,color="green",shape="box"];419[label="xv41",fontsize=16,color="green",shape="box"];420[label="xv31",fontsize=16,color="green",shape="box"];421[label="xv41",fontsize=16,color="green",shape="box"];422[label="xv31",fontsize=16,color="green",shape="box"];423[label="False",fontsize=16,color="green",shape="box"];424[label="xv27",fontsize=16,color="green",shape="box"];425[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];1010[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];425 -> 1010[label="",style="solid", color="burlywood", weight=9]; 1010 -> 459[label="",style="solid", color="burlywood", weight=3]; 426[label="xv300 : xv301 == xv400 : xv401",fontsize=16,color="black",shape="box"];426 -> 460[label="",style="solid", color="black", weight=3]; 427[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];427 -> 461[label="",style="solid", color="black", weight=3]; 428[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];428 -> 462[label="",style="solid", color="black", weight=3]; 429[label="[] == []",fontsize=16,color="black",shape="box"];429 -> 463[label="",style="solid", color="black", weight=3]; 430[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];430 -> 464[label="",style="solid", color="black", weight=3]; 431[label="LT == LT",fontsize=16,color="black",shape="box"];431 -> 465[label="",style="solid", color="black", weight=3]; 432[label="LT == EQ",fontsize=16,color="black",shape="box"];432 -> 466[label="",style="solid", color="black", weight=3]; 433[label="LT == GT",fontsize=16,color="black",shape="box"];433 -> 467[label="",style="solid", color="black", weight=3]; 434[label="EQ == LT",fontsize=16,color="black",shape="box"];434 -> 468[label="",style="solid", color="black", weight=3]; 435[label="EQ == EQ",fontsize=16,color="black",shape="box"];435 -> 469[label="",style="solid", color="black", weight=3]; 436[label="EQ == GT",fontsize=16,color="black",shape="box"];436 -> 470[label="",style="solid", color="black", weight=3]; 437[label="GT == LT",fontsize=16,color="black",shape="box"];437 -> 471[label="",style="solid", color="black", weight=3]; 438[label="GT == EQ",fontsize=16,color="black",shape="box"];438 -> 472[label="",style="solid", color="black", weight=3]; 439[label="GT == GT",fontsize=16,color="black",shape="box"];439 -> 473[label="",style="solid", color="black", weight=3]; 440[label="Left xv300 == Left xv400",fontsize=16,color="black",shape="box"];440 -> 474[label="",style="solid", color="black", weight=3]; 441[label="Left xv300 == Right xv400",fontsize=16,color="black",shape="box"];441 -> 475[label="",style="solid", color="black", weight=3]; 442[label="Right xv300 == Left xv400",fontsize=16,color="black",shape="box"];442 -> 476[label="",style="solid", color="black", weight=3]; 443[label="Right xv300 == Right xv400",fontsize=16,color="black",shape="box"];443 -> 477[label="",style="solid", color="black", weight=3]; 444[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];1011[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];444 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 478[label="",style="solid", color="burlywood", weight=3]; 1012[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];444 -> 1012[label="",style="solid", color="burlywood", weight=9]; 1012 -> 479[label="",style="solid", color="burlywood", weight=3]; 445[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];1013[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];445 -> 1013[label="",style="solid", color="burlywood", weight=9]; 1013 -> 480[label="",style="solid", color="burlywood", weight=3]; 1014[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];445 -> 1014[label="",style="solid", color="burlywood", weight=9]; 1014 -> 481[label="",style="solid", color="burlywood", weight=3]; 446[label="False == False",fontsize=16,color="black",shape="box"];446 -> 482[label="",style="solid", color="black", weight=3]; 447[label="False == True",fontsize=16,color="black",shape="box"];447 -> 483[label="",style="solid", color="black", weight=3]; 448[label="True == False",fontsize=16,color="black",shape="box"];448 -> 484[label="",style="solid", color="black", weight=3]; 449[label="True == True",fontsize=16,color="black",shape="box"];449 -> 485[label="",style="solid", color="black", weight=3]; 450[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];450 -> 486[label="",style="solid", color="black", weight=3]; 451[label="Nothing == Just xv400",fontsize=16,color="black",shape="box"];451 -> 487[label="",style="solid", color="black", weight=3]; 452[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];452 -> 488[label="",style="solid", color="black", weight=3]; 453[label="Just xv300 == Just xv400",fontsize=16,color="black",shape="box"];453 -> 489[label="",style="solid", color="black", weight=3]; 454[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];454 -> 490[label="",style="solid", color="black", weight=3]; 455[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];455 -> 491[label="",style="solid", color="black", weight=3]; 456[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];1015[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];456 -> 1015[label="",style="solid", color="burlywood", weight=9]; 1015 -> 492[label="",style="solid", color="burlywood", weight=3]; 457[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];1016[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];457 -> 1016[label="",style="solid", color="burlywood", weight=9]; 1016 -> 493[label="",style="solid", color="burlywood", weight=3]; 458[label="() == ()",fontsize=16,color="black",shape="box"];458 -> 494[label="",style="solid", color="black", weight=3]; 459[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];459 -> 495[label="",style="solid", color="black", weight=3]; 460 -> 339[label="",style="dashed", color="red", weight=0]; 460[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];460 -> 496[label="",style="dashed", color="magenta", weight=3]; 460 -> 497[label="",style="dashed", color="magenta", weight=3]; 461[label="False",fontsize=16,color="green",shape="box"];462[label="False",fontsize=16,color="green",shape="box"];463[label="True",fontsize=16,color="green",shape="box"];464 -> 339[label="",style="dashed", color="red", weight=0]; 464[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];464 -> 498[label="",style="dashed", color="magenta", weight=3]; 464 -> 499[label="",style="dashed", color="magenta", weight=3]; 465[label="True",fontsize=16,color="green",shape="box"];466[label="False",fontsize=16,color="green",shape="box"];467[label="False",fontsize=16,color="green",shape="box"];468[label="False",fontsize=16,color="green",shape="box"];469[label="True",fontsize=16,color="green",shape="box"];470[label="False",fontsize=16,color="green",shape="box"];471[label="False",fontsize=16,color="green",shape="box"];472[label="False",fontsize=16,color="green",shape="box"];473[label="True",fontsize=16,color="green",shape="box"];474[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];1017[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 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"];474 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 501[label="",style="solid", color="blue", weight=3]; 1019[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 502[label="",style="solid", color="blue", weight=3]; 1020[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 503[label="",style="solid", color="blue", weight=3]; 1021[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 504[label="",style="solid", color="blue", weight=3]; 1022[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 505[label="",style="solid", color="blue", weight=3]; 1023[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 506[label="",style="solid", color="blue", weight=3]; 1024[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 507[label="",style="solid", color="blue", weight=3]; 1025[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 508[label="",style="solid", color="blue", weight=3]; 1026[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 509[label="",style="solid", color="blue", weight=3]; 1027[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 510[label="",style="solid", color="blue", weight=3]; 1028[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 511[label="",style="solid", color="blue", weight=3]; 1029[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 512[label="",style="solid", color="blue", weight=3]; 1030[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 513[label="",style="solid", color="blue", weight=3]; 475[label="False",fontsize=16,color="green",shape="box"];476[label="False",fontsize=16,color="green",shape="box"];477[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];1031[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 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"];477 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 515[label="",style="solid", color="blue", weight=3]; 1033[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 516[label="",style="solid", color="blue", weight=3]; 1034[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 517[label="",style="solid", color="blue", weight=3]; 1035[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 518[label="",style="solid", color="blue", weight=3]; 1036[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 519[label="",style="solid", color="blue", weight=3]; 1037[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 520[label="",style="solid", color="blue", weight=3]; 1038[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1038[label="",style="solid", color="blue", weight=9]; 1038 -> 521[label="",style="solid", color="blue", weight=3]; 1039[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1039[label="",style="solid", color="blue", weight=9]; 1039 -> 522[label="",style="solid", color="blue", weight=3]; 1040[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1040[label="",style="solid", color="blue", weight=9]; 1040 -> 523[label="",style="solid", color="blue", weight=3]; 1041[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1041[label="",style="solid", color="blue", weight=9]; 1041 -> 524[label="",style="solid", color="blue", weight=3]; 1042[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1042[label="",style="solid", color="blue", weight=9]; 1042 -> 525[label="",style="solid", color="blue", weight=3]; 1043[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 526[label="",style="solid", color="blue", weight=3]; 1044[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 527[label="",style="solid", color="blue", weight=3]; 478[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];1045[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];478 -> 1045[label="",style="solid", color="burlywood", weight=9]; 1045 -> 528[label="",style="solid", color="burlywood", weight=3]; 1046[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];478 -> 1046[label="",style="solid", color="burlywood", weight=9]; 1046 -> 529[label="",style="solid", color="burlywood", weight=3]; 479[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];1047[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];479 -> 1047[label="",style="solid", color="burlywood", weight=9]; 1047 -> 530[label="",style="solid", color="burlywood", weight=3]; 1048[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];479 -> 1048[label="",style="solid", color="burlywood", weight=9]; 1048 -> 531[label="",style="solid", color="burlywood", weight=3]; 480[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];1049[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];480 -> 1049[label="",style="solid", color="burlywood", weight=9]; 1049 -> 532[label="",style="solid", color="burlywood", weight=3]; 1050[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];480 -> 1050[label="",style="solid", color="burlywood", weight=9]; 1050 -> 533[label="",style="solid", color="burlywood", weight=3]; 481[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];1051[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];481 -> 1051[label="",style="solid", color="burlywood", weight=9]; 1051 -> 534[label="",style="solid", color="burlywood", weight=3]; 1052[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];481 -> 1052[label="",style="solid", color="burlywood", weight=9]; 1052 -> 535[label="",style="solid", color="burlywood", weight=3]; 482[label="True",fontsize=16,color="green",shape="box"];483[label="False",fontsize=16,color="green",shape="box"];484[label="False",fontsize=16,color="green",shape="box"];485[label="True",fontsize=16,color="green",shape="box"];486[label="True",fontsize=16,color="green",shape="box"];487[label="False",fontsize=16,color="green",shape="box"];488[label="False",fontsize=16,color="green",shape="box"];489[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];1053[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 536[label="",style="solid", color="blue", weight=3]; 1054[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 537[label="",style="solid", color="blue", weight=3]; 1055[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 538[label="",style="solid", color="blue", weight=3]; 1056[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 539[label="",style="solid", color="blue", weight=3]; 1057[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 540[label="",style="solid", color="blue", weight=3]; 1058[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 541[label="",style="solid", color="blue", weight=3]; 1059[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 542[label="",style="solid", color="blue", weight=3]; 1060[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1060[label="",style="solid", color="blue", weight=9]; 1060 -> 543[label="",style="solid", color="blue", weight=3]; 1061[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1061[label="",style="solid", color="blue", weight=9]; 1061 -> 544[label="",style="solid", color="blue", weight=3]; 1062[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1062[label="",style="solid", color="blue", weight=9]; 1062 -> 545[label="",style="solid", color="blue", weight=3]; 1063[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1063[label="",style="solid", color="blue", weight=9]; 1063 -> 546[label="",style="solid", color="blue", weight=3]; 1064[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1064[label="",style="solid", color="blue", weight=9]; 1064 -> 547[label="",style="solid", color="blue", weight=3]; 1065[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1065[label="",style="solid", color="blue", weight=9]; 1065 -> 548[label="",style="solid", color="blue", weight=3]; 1066[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];489 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 549[label="",style="solid", color="blue", weight=3]; 490 -> 385[label="",style="dashed", color="red", weight=0]; 490[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];490 -> 550[label="",style="dashed", color="magenta", weight=3]; 490 -> 551[label="",style="dashed", color="magenta", weight=3]; 491 -> 339[label="",style="dashed", color="red", weight=0]; 491[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];491 -> 552[label="",style="dashed", color="magenta", weight=3]; 491 -> 553[label="",style="dashed", color="magenta", weight=3]; 492[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];492 -> 554[label="",style="solid", color="black", weight=3]; 493[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];493 -> 555[label="",style="solid", color="black", weight=3]; 494[label="True",fontsize=16,color="green",shape="box"];495 -> 350[label="",style="dashed", color="red", weight=0]; 495[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];495 -> 556[label="",style="dashed", color="magenta", weight=3]; 495 -> 557[label="",style="dashed", color="magenta", weight=3]; 496[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];1067[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 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"];496 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 559[label="",style="solid", color="blue", weight=3]; 1069[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 560[label="",style="solid", color="blue", weight=3]; 1070[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 561[label="",style="solid", color="blue", weight=3]; 1071[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 562[label="",style="solid", color="blue", weight=3]; 1072[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 563[label="",style="solid", color="blue", weight=3]; 1073[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 564[label="",style="solid", color="blue", weight=3]; 1074[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 565[label="",style="solid", color="blue", weight=3]; 1075[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 566[label="",style="solid", color="blue", weight=3]; 1076[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 567[label="",style="solid", color="blue", weight=3]; 1077[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 568[label="",style="solid", color="blue", weight=3]; 1078[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 569[label="",style="solid", color="blue", weight=3]; 1079[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 570[label="",style="solid", color="blue", weight=3]; 1080[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];496 -> 1080[label="",style="solid", color="blue", weight=9]; 1080 -> 571[label="",style="solid", color="blue", weight=3]; 497 -> 345[label="",style="dashed", color="red", weight=0]; 497[label="xv301 == xv401",fontsize=16,color="magenta"];497 -> 572[label="",style="dashed", color="magenta", weight=3]; 497 -> 573[label="",style="dashed", color="magenta", weight=3]; 498[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];1081[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];498 -> 1081[label="",style="solid", color="blue", weight=9]; 1081 -> 574[label="",style="solid", color="blue", weight=3]; 1082[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];498 -> 1082[label="",style="solid", color="blue", weight=9]; 1082 -> 575[label="",style="solid", color="blue", weight=3]; 499[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];1083[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];499 -> 1083[label="",style="solid", color="blue", weight=9]; 1083 -> 576[label="",style="solid", color="blue", weight=3]; 1084[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];499 -> 1084[label="",style="solid", color="blue", weight=9]; 1084 -> 577[label="",style="solid", color="blue", weight=3]; 500 -> 344[label="",style="dashed", color="red", weight=0]; 500[label="xv300 == xv400",fontsize=16,color="magenta"];500 -> 578[label="",style="dashed", color="magenta", weight=3]; 500 -> 579[label="",style="dashed", color="magenta", weight=3]; 501 -> 345[label="",style="dashed", color="red", weight=0]; 501[label="xv300 == xv400",fontsize=16,color="magenta"];501 -> 580[label="",style="dashed", color="magenta", weight=3]; 501 -> 581[label="",style="dashed", color="magenta", weight=3]; 502 -> 346[label="",style="dashed", color="red", weight=0]; 502[label="xv300 == xv400",fontsize=16,color="magenta"];502 -> 582[label="",style="dashed", color="magenta", weight=3]; 502 -> 583[label="",style="dashed", color="magenta", weight=3]; 503 -> 88[label="",style="dashed", color="red", weight=0]; 503[label="xv300 == xv400",fontsize=16,color="magenta"];503 -> 584[label="",style="dashed", color="magenta", weight=3]; 503 -> 585[label="",style="dashed", color="magenta", weight=3]; 504 -> 348[label="",style="dashed", color="red", weight=0]; 504[label="xv300 == xv400",fontsize=16,color="magenta"];504 -> 586[label="",style="dashed", color="magenta", weight=3]; 504 -> 587[label="",style="dashed", color="magenta", weight=3]; 505 -> 349[label="",style="dashed", color="red", weight=0]; 505[label="xv300 == xv400",fontsize=16,color="magenta"];505 -> 588[label="",style="dashed", color="magenta", weight=3]; 505 -> 589[label="",style="dashed", color="magenta", weight=3]; 506 -> 350[label="",style="dashed", color="red", weight=0]; 506[label="xv300 == xv400",fontsize=16,color="magenta"];506 -> 590[label="",style="dashed", color="magenta", weight=3]; 506 -> 591[label="",style="dashed", color="magenta", weight=3]; 507 -> 351[label="",style="dashed", color="red", weight=0]; 507[label="xv300 == xv400",fontsize=16,color="magenta"];507 -> 592[label="",style="dashed", color="magenta", weight=3]; 507 -> 593[label="",style="dashed", color="magenta", weight=3]; 508 -> 352[label="",style="dashed", color="red", weight=0]; 508[label="xv300 == xv400",fontsize=16,color="magenta"];508 -> 594[label="",style="dashed", color="magenta", weight=3]; 508 -> 595[label="",style="dashed", color="magenta", weight=3]; 509 -> 353[label="",style="dashed", color="red", weight=0]; 509[label="xv300 == xv400",fontsize=16,color="magenta"];509 -> 596[label="",style="dashed", color="magenta", weight=3]; 509 -> 597[label="",style="dashed", color="magenta", weight=3]; 510 -> 354[label="",style="dashed", color="red", weight=0]; 510[label="xv300 == xv400",fontsize=16,color="magenta"];510 -> 598[label="",style="dashed", color="magenta", weight=3]; 510 -> 599[label="",style="dashed", color="magenta", weight=3]; 511 -> 355[label="",style="dashed", color="red", weight=0]; 511[label="xv300 == xv400",fontsize=16,color="magenta"];511 -> 600[label="",style="dashed", color="magenta", weight=3]; 511 -> 601[label="",style="dashed", color="magenta", weight=3]; 512 -> 356[label="",style="dashed", color="red", weight=0]; 512[label="xv300 == xv400",fontsize=16,color="magenta"];512 -> 602[label="",style="dashed", color="magenta", weight=3]; 512 -> 603[label="",style="dashed", color="magenta", weight=3]; 513 -> 357[label="",style="dashed", color="red", weight=0]; 513[label="xv300 == xv400",fontsize=16,color="magenta"];513 -> 604[label="",style="dashed", color="magenta", weight=3]; 513 -> 605[label="",style="dashed", color="magenta", weight=3]; 514 -> 344[label="",style="dashed", color="red", weight=0]; 514[label="xv300 == xv400",fontsize=16,color="magenta"];514 -> 606[label="",style="dashed", color="magenta", weight=3]; 514 -> 607[label="",style="dashed", color="magenta", weight=3]; 515 -> 345[label="",style="dashed", color="red", weight=0]; 515[label="xv300 == xv400",fontsize=16,color="magenta"];515 -> 608[label="",style="dashed", color="magenta", weight=3]; 515 -> 609[label="",style="dashed", color="magenta", weight=3]; 516 -> 346[label="",style="dashed", color="red", weight=0]; 516[label="xv300 == xv400",fontsize=16,color="magenta"];516 -> 610[label="",style="dashed", color="magenta", weight=3]; 516 -> 611[label="",style="dashed", color="magenta", weight=3]; 517 -> 88[label="",style="dashed", color="red", weight=0]; 517[label="xv300 == xv400",fontsize=16,color="magenta"];517 -> 612[label="",style="dashed", color="magenta", weight=3]; 517 -> 613[label="",style="dashed", color="magenta", weight=3]; 518 -> 348[label="",style="dashed", color="red", weight=0]; 518[label="xv300 == xv400",fontsize=16,color="magenta"];518 -> 614[label="",style="dashed", color="magenta", weight=3]; 518 -> 615[label="",style="dashed", color="magenta", weight=3]; 519 -> 349[label="",style="dashed", color="red", weight=0]; 519[label="xv300 == xv400",fontsize=16,color="magenta"];519 -> 616[label="",style="dashed", color="magenta", weight=3]; 519 -> 617[label="",style="dashed", color="magenta", weight=3]; 520 -> 350[label="",style="dashed", color="red", weight=0]; 520[label="xv300 == xv400",fontsize=16,color="magenta"];520 -> 618[label="",style="dashed", color="magenta", weight=3]; 520 -> 619[label="",style="dashed", color="magenta", weight=3]; 521 -> 351[label="",style="dashed", color="red", weight=0]; 521[label="xv300 == xv400",fontsize=16,color="magenta"];521 -> 620[label="",style="dashed", color="magenta", weight=3]; 521 -> 621[label="",style="dashed", color="magenta", weight=3]; 522 -> 352[label="",style="dashed", color="red", weight=0]; 522[label="xv300 == xv400",fontsize=16,color="magenta"];522 -> 622[label="",style="dashed", color="magenta", weight=3]; 522 -> 623[label="",style="dashed", color="magenta", weight=3]; 523 -> 353[label="",style="dashed", color="red", weight=0]; 523[label="xv300 == xv400",fontsize=16,color="magenta"];523 -> 624[label="",style="dashed", color="magenta", weight=3]; 523 -> 625[label="",style="dashed", color="magenta", weight=3]; 524 -> 354[label="",style="dashed", color="red", weight=0]; 524[label="xv300 == xv400",fontsize=16,color="magenta"];524 -> 626[label="",style="dashed", color="magenta", weight=3]; 524 -> 627[label="",style="dashed", color="magenta", weight=3]; 525 -> 355[label="",style="dashed", color="red", weight=0]; 525[label="xv300 == xv400",fontsize=16,color="magenta"];525 -> 628[label="",style="dashed", color="magenta", weight=3]; 525 -> 629[label="",style="dashed", color="magenta", weight=3]; 526 -> 356[label="",style="dashed", color="red", weight=0]; 526[label="xv300 == xv400",fontsize=16,color="magenta"];526 -> 630[label="",style="dashed", color="magenta", weight=3]; 526 -> 631[label="",style="dashed", color="magenta", weight=3]; 527 -> 357[label="",style="dashed", color="red", weight=0]; 527[label="xv300 == xv400",fontsize=16,color="magenta"];527 -> 632[label="",style="dashed", color="magenta", weight=3]; 527 -> 633[label="",style="dashed", color="magenta", weight=3]; 528[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];1085[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];528 -> 1085[label="",style="solid", color="burlywood", weight=9]; 1085 -> 634[label="",style="solid", color="burlywood", weight=3]; 1086[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];528 -> 1086[label="",style="solid", color="burlywood", weight=9]; 1086 -> 635[label="",style="solid", color="burlywood", weight=3]; 529[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];529 -> 636[label="",style="solid", color="black", weight=3]; 530[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];1087[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];530 -> 1087[label="",style="solid", color="burlywood", weight=9]; 1087 -> 637[label="",style="solid", color="burlywood", weight=3]; 1088[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];530 -> 1088[label="",style="solid", color="burlywood", weight=9]; 1088 -> 638[label="",style="solid", color="burlywood", weight=3]; 531[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];1089[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];531 -> 1089[label="",style="solid", color="burlywood", weight=9]; 1089 -> 639[label="",style="solid", color="burlywood", weight=3]; 1090[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];531 -> 1090[label="",style="solid", color="burlywood", weight=9]; 1090 -> 640[label="",style="solid", color="burlywood", weight=3]; 532[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];532 -> 641[label="",style="solid", color="black", weight=3]; 533[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];1091[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];533 -> 1091[label="",style="solid", color="burlywood", weight=9]; 1091 -> 642[label="",style="solid", color="burlywood", weight=3]; 1092[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];533 -> 1092[label="",style="solid", color="burlywood", weight=9]; 1092 -> 643[label="",style="solid", color="burlywood", weight=3]; 534[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];1093[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];534 -> 1093[label="",style="solid", color="burlywood", weight=9]; 1093 -> 644[label="",style="solid", color="burlywood", weight=3]; 1094[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];534 -> 1094[label="",style="solid", color="burlywood", weight=9]; 1094 -> 645[label="",style="solid", color="burlywood", weight=3]; 535[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];1095[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];535 -> 1095[label="",style="solid", color="burlywood", weight=9]; 1095 -> 646[label="",style="solid", color="burlywood", weight=3]; 1096[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];535 -> 1096[label="",style="solid", color="burlywood", weight=9]; 1096 -> 647[label="",style="solid", color="burlywood", weight=3]; 536 -> 344[label="",style="dashed", color="red", weight=0]; 536[label="xv300 == xv400",fontsize=16,color="magenta"];536 -> 648[label="",style="dashed", color="magenta", weight=3]; 536 -> 649[label="",style="dashed", color="magenta", weight=3]; 537 -> 345[label="",style="dashed", color="red", weight=0]; 537[label="xv300 == xv400",fontsize=16,color="magenta"];537 -> 650[label="",style="dashed", color="magenta", weight=3]; 537 -> 651[label="",style="dashed", color="magenta", weight=3]; 538 -> 346[label="",style="dashed", color="red", weight=0]; 538[label="xv300 == xv400",fontsize=16,color="magenta"];538 -> 652[label="",style="dashed", color="magenta", weight=3]; 538 -> 653[label="",style="dashed", color="magenta", weight=3]; 539 -> 88[label="",style="dashed", color="red", weight=0]; 539[label="xv300 == xv400",fontsize=16,color="magenta"];539 -> 654[label="",style="dashed", color="magenta", weight=3]; 539 -> 655[label="",style="dashed", color="magenta", weight=3]; 540 -> 348[label="",style="dashed", color="red", weight=0]; 540[label="xv300 == xv400",fontsize=16,color="magenta"];540 -> 656[label="",style="dashed", color="magenta", weight=3]; 540 -> 657[label="",style="dashed", color="magenta", weight=3]; 541 -> 349[label="",style="dashed", color="red", weight=0]; 541[label="xv300 == xv400",fontsize=16,color="magenta"];541 -> 658[label="",style="dashed", color="magenta", weight=3]; 541 -> 659[label="",style="dashed", color="magenta", weight=3]; 542 -> 350[label="",style="dashed", color="red", weight=0]; 542[label="xv300 == xv400",fontsize=16,color="magenta"];542 -> 660[label="",style="dashed", color="magenta", weight=3]; 542 -> 661[label="",style="dashed", color="magenta", weight=3]; 543 -> 351[label="",style="dashed", color="red", weight=0]; 543[label="xv300 == xv400",fontsize=16,color="magenta"];543 -> 662[label="",style="dashed", color="magenta", weight=3]; 543 -> 663[label="",style="dashed", color="magenta", weight=3]; 544 -> 352[label="",style="dashed", color="red", weight=0]; 544[label="xv300 == xv400",fontsize=16,color="magenta"];544 -> 664[label="",style="dashed", color="magenta", weight=3]; 544 -> 665[label="",style="dashed", color="magenta", weight=3]; 545 -> 353[label="",style="dashed", color="red", weight=0]; 545[label="xv300 == xv400",fontsize=16,color="magenta"];545 -> 666[label="",style="dashed", color="magenta", weight=3]; 545 -> 667[label="",style="dashed", color="magenta", weight=3]; 546 -> 354[label="",style="dashed", color="red", weight=0]; 546[label="xv300 == xv400",fontsize=16,color="magenta"];546 -> 668[label="",style="dashed", color="magenta", weight=3]; 546 -> 669[label="",style="dashed", color="magenta", weight=3]; 547 -> 355[label="",style="dashed", color="red", weight=0]; 547[label="xv300 == xv400",fontsize=16,color="magenta"];547 -> 670[label="",style="dashed", color="magenta", weight=3]; 547 -> 671[label="",style="dashed", color="magenta", weight=3]; 548 -> 356[label="",style="dashed", color="red", weight=0]; 548[label="xv300 == xv400",fontsize=16,color="magenta"];548 -> 672[label="",style="dashed", color="magenta", weight=3]; 548 -> 673[label="",style="dashed", color="magenta", weight=3]; 549 -> 357[label="",style="dashed", color="red", weight=0]; 549[label="xv300 == xv400",fontsize=16,color="magenta"];549 -> 674[label="",style="dashed", color="magenta", weight=3]; 549 -> 675[label="",style="dashed", color="magenta", weight=3]; 550[label="xv400",fontsize=16,color="green",shape="box"];551[label="xv300",fontsize=16,color="green",shape="box"];552[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];1097[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 676[label="",style="solid", color="blue", weight=3]; 1098[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 677[label="",style="solid", color="blue", weight=3]; 1099[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1099[label="",style="solid", color="blue", weight=9]; 1099 -> 678[label="",style="solid", color="blue", weight=3]; 1100[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1100[label="",style="solid", color="blue", weight=9]; 1100 -> 679[label="",style="solid", color="blue", weight=3]; 1101[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1101[label="",style="solid", color="blue", weight=9]; 1101 -> 680[label="",style="solid", color="blue", weight=3]; 1102[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1102[label="",style="solid", color="blue", weight=9]; 1102 -> 681[label="",style="solid", color="blue", weight=3]; 1103[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1103[label="",style="solid", color="blue", weight=9]; 1103 -> 682[label="",style="solid", color="blue", weight=3]; 1104[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1104[label="",style="solid", color="blue", weight=9]; 1104 -> 683[label="",style="solid", color="blue", weight=3]; 1105[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1105[label="",style="solid", color="blue", weight=9]; 1105 -> 684[label="",style="solid", color="blue", weight=3]; 1106[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1106[label="",style="solid", color="blue", weight=9]; 1106 -> 685[label="",style="solid", color="blue", weight=3]; 1107[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1107[label="",style="solid", color="blue", weight=9]; 1107 -> 686[label="",style="solid", color="blue", weight=3]; 1108[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1108[label="",style="solid", color="blue", weight=9]; 1108 -> 687[label="",style="solid", color="blue", weight=3]; 1109[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1109[label="",style="solid", color="blue", weight=9]; 1109 -> 688[label="",style="solid", color="blue", weight=3]; 1110[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];552 -> 1110[label="",style="solid", color="blue", weight=9]; 1110 -> 689[label="",style="solid", color="blue", weight=3]; 553 -> 339[label="",style="dashed", color="red", weight=0]; 553[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];553 -> 690[label="",style="dashed", color="magenta", weight=3]; 553 -> 691[label="",style="dashed", color="magenta", weight=3]; 554[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];1111[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];554 -> 1111[label="",style="solid", color="burlywood", weight=9]; 1111 -> 692[label="",style="solid", color="burlywood", weight=3]; 1112[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];554 -> 1112[label="",style="solid", color="burlywood", weight=9]; 1112 -> 693[label="",style="solid", color="burlywood", weight=3]; 555 -> 350[label="",style="dashed", color="red", weight=0]; 555[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];555 -> 694[label="",style="dashed", color="magenta", weight=3]; 555 -> 695[label="",style="dashed", color="magenta", weight=3]; 556[label="xv301 * xv400",fontsize=16,color="black",shape="triangle"];556 -> 696[label="",style="solid", color="black", weight=3]; 557 -> 556[label="",style="dashed", color="red", weight=0]; 557[label="xv300 * xv401",fontsize=16,color="magenta"];557 -> 697[label="",style="dashed", color="magenta", weight=3]; 557 -> 698[label="",style="dashed", color="magenta", weight=3]; 558 -> 344[label="",style="dashed", color="red", weight=0]; 558[label="xv300 == xv400",fontsize=16,color="magenta"];558 -> 699[label="",style="dashed", color="magenta", weight=3]; 558 -> 700[label="",style="dashed", color="magenta", weight=3]; 559 -> 345[label="",style="dashed", color="red", weight=0]; 559[label="xv300 == xv400",fontsize=16,color="magenta"];559 -> 701[label="",style="dashed", color="magenta", weight=3]; 559 -> 702[label="",style="dashed", color="magenta", weight=3]; 560 -> 346[label="",style="dashed", color="red", weight=0]; 560[label="xv300 == xv400",fontsize=16,color="magenta"];560 -> 703[label="",style="dashed", color="magenta", weight=3]; 560 -> 704[label="",style="dashed", color="magenta", weight=3]; 561 -> 88[label="",style="dashed", color="red", weight=0]; 561[label="xv300 == xv400",fontsize=16,color="magenta"];561 -> 705[label="",style="dashed", color="magenta", weight=3]; 561 -> 706[label="",style="dashed", color="magenta", weight=3]; 562 -> 348[label="",style="dashed", color="red", weight=0]; 562[label="xv300 == xv400",fontsize=16,color="magenta"];562 -> 707[label="",style="dashed", color="magenta", weight=3]; 562 -> 708[label="",style="dashed", color="magenta", weight=3]; 563 -> 349[label="",style="dashed", color="red", weight=0]; 563[label="xv300 == xv400",fontsize=16,color="magenta"];563 -> 709[label="",style="dashed", color="magenta", weight=3]; 563 -> 710[label="",style="dashed", color="magenta", weight=3]; 564 -> 350[label="",style="dashed", color="red", weight=0]; 564[label="xv300 == xv400",fontsize=16,color="magenta"];564 -> 711[label="",style="dashed", color="magenta", weight=3]; 564 -> 712[label="",style="dashed", color="magenta", weight=3]; 565 -> 351[label="",style="dashed", color="red", weight=0]; 565[label="xv300 == xv400",fontsize=16,color="magenta"];565 -> 713[label="",style="dashed", color="magenta", weight=3]; 565 -> 714[label="",style="dashed", color="magenta", weight=3]; 566 -> 352[label="",style="dashed", color="red", weight=0]; 566[label="xv300 == xv400",fontsize=16,color="magenta"];566 -> 715[label="",style="dashed", color="magenta", weight=3]; 566 -> 716[label="",style="dashed", color="magenta", weight=3]; 567 -> 353[label="",style="dashed", color="red", weight=0]; 567[label="xv300 == xv400",fontsize=16,color="magenta"];567 -> 717[label="",style="dashed", color="magenta", weight=3]; 567 -> 718[label="",style="dashed", color="magenta", weight=3]; 568 -> 354[label="",style="dashed", color="red", weight=0]; 568[label="xv300 == xv400",fontsize=16,color="magenta"];568 -> 719[label="",style="dashed", color="magenta", weight=3]; 568 -> 720[label="",style="dashed", color="magenta", weight=3]; 569 -> 355[label="",style="dashed", color="red", weight=0]; 569[label="xv300 == xv400",fontsize=16,color="magenta"];569 -> 721[label="",style="dashed", color="magenta", weight=3]; 569 -> 722[label="",style="dashed", color="magenta", weight=3]; 570 -> 356[label="",style="dashed", color="red", weight=0]; 570[label="xv300 == xv400",fontsize=16,color="magenta"];570 -> 723[label="",style="dashed", color="magenta", weight=3]; 570 -> 724[label="",style="dashed", color="magenta", weight=3]; 571 -> 357[label="",style="dashed", color="red", weight=0]; 571[label="xv300 == xv400",fontsize=16,color="magenta"];571 -> 725[label="",style="dashed", color="magenta", weight=3]; 571 -> 726[label="",style="dashed", color="magenta", weight=3]; 572[label="xv401",fontsize=16,color="green",shape="box"];573[label="xv301",fontsize=16,color="green",shape="box"];574 -> 350[label="",style="dashed", color="red", weight=0]; 574[label="xv300 == xv400",fontsize=16,color="magenta"];574 -> 727[label="",style="dashed", color="magenta", weight=3]; 574 -> 728[label="",style="dashed", color="magenta", weight=3]; 575 -> 353[label="",style="dashed", color="red", weight=0]; 575[label="xv300 == xv400",fontsize=16,color="magenta"];575 -> 729[label="",style="dashed", color="magenta", weight=3]; 575 -> 730[label="",style="dashed", color="magenta", weight=3]; 576 -> 350[label="",style="dashed", color="red", weight=0]; 576[label="xv301 == xv401",fontsize=16,color="magenta"];576 -> 731[label="",style="dashed", color="magenta", weight=3]; 576 -> 732[label="",style="dashed", color="magenta", weight=3]; 577 -> 353[label="",style="dashed", color="red", weight=0]; 577[label="xv301 == xv401",fontsize=16,color="magenta"];577 -> 733[label="",style="dashed", color="magenta", weight=3]; 577 -> 734[label="",style="dashed", color="magenta", weight=3]; 578[label="xv400",fontsize=16,color="green",shape="box"];579[label="xv300",fontsize=16,color="green",shape="box"];580[label="xv400",fontsize=16,color="green",shape="box"];581[label="xv300",fontsize=16,color="green",shape="box"];582[label="xv400",fontsize=16,color="green",shape="box"];583[label="xv300",fontsize=16,color="green",shape="box"];584[label="xv300",fontsize=16,color="green",shape="box"];585[label="xv400",fontsize=16,color="green",shape="box"];586[label="xv400",fontsize=16,color="green",shape="box"];587[label="xv300",fontsize=16,color="green",shape="box"];588[label="xv400",fontsize=16,color="green",shape="box"];589[label="xv300",fontsize=16,color="green",shape="box"];590[label="xv400",fontsize=16,color="green",shape="box"];591[label="xv300",fontsize=16,color="green",shape="box"];592[label="xv400",fontsize=16,color="green",shape="box"];593[label="xv300",fontsize=16,color="green",shape="box"];594[label="xv400",fontsize=16,color="green",shape="box"];595[label="xv300",fontsize=16,color="green",shape="box"];596[label="xv400",fontsize=16,color="green",shape="box"];597[label="xv300",fontsize=16,color="green",shape="box"];598[label="xv400",fontsize=16,color="green",shape="box"];599[label="xv300",fontsize=16,color="green",shape="box"];600[label="xv400",fontsize=16,color="green",shape="box"];601[label="xv300",fontsize=16,color="green",shape="box"];602[label="xv400",fontsize=16,color="green",shape="box"];603[label="xv300",fontsize=16,color="green",shape="box"];604[label="xv400",fontsize=16,color="green",shape="box"];605[label="xv300",fontsize=16,color="green",shape="box"];606[label="xv400",fontsize=16,color="green",shape="box"];607[label="xv300",fontsize=16,color="green",shape="box"];608[label="xv400",fontsize=16,color="green",shape="box"];609[label="xv300",fontsize=16,color="green",shape="box"];610[label="xv400",fontsize=16,color="green",shape="box"];611[label="xv300",fontsize=16,color="green",shape="box"];612[label="xv300",fontsize=16,color="green",shape="box"];613[label="xv400",fontsize=16,color="green",shape="box"];614[label="xv400",fontsize=16,color="green",shape="box"];615[label="xv300",fontsize=16,color="green",shape="box"];616[label="xv400",fontsize=16,color="green",shape="box"];617[label="xv300",fontsize=16,color="green",shape="box"];618[label="xv400",fontsize=16,color="green",shape="box"];619[label="xv300",fontsize=16,color="green",shape="box"];620[label="xv400",fontsize=16,color="green",shape="box"];621[label="xv300",fontsize=16,color="green",shape="box"];622[label="xv400",fontsize=16,color="green",shape="box"];623[label="xv300",fontsize=16,color="green",shape="box"];624[label="xv400",fontsize=16,color="green",shape="box"];625[label="xv300",fontsize=16,color="green",shape="box"];626[label="xv400",fontsize=16,color="green",shape="box"];627[label="xv300",fontsize=16,color="green",shape="box"];628[label="xv400",fontsize=16,color="green",shape="box"];629[label="xv300",fontsize=16,color="green",shape="box"];630[label="xv400",fontsize=16,color="green",shape="box"];631[label="xv300",fontsize=16,color="green",shape="box"];632[label="xv400",fontsize=16,color="green",shape="box"];633[label="xv300",fontsize=16,color="green",shape="box"];634[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];634 -> 735[label="",style="solid", color="black", weight=3]; 635[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];635 -> 736[label="",style="solid", color="black", weight=3]; 636[label="False",fontsize=16,color="green",shape="box"];637[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];637 -> 737[label="",style="solid", color="black", weight=3]; 638[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];638 -> 738[label="",style="solid", color="black", weight=3]; 639[label="primEqInt (Pos Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];639 -> 739[label="",style="solid", color="black", weight=3]; 640[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];640 -> 740[label="",style="solid", color="black", weight=3]; 641[label="False",fontsize=16,color="green",shape="box"];642[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];642 -> 741[label="",style="solid", color="black", weight=3]; 643[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];643 -> 742[label="",style="solid", color="black", weight=3]; 644[label="primEqInt (Neg Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];644 -> 743[label="",style="solid", color="black", weight=3]; 645[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];645 -> 744[label="",style="solid", color="black", weight=3]; 646[label="primEqInt (Neg Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];646 -> 745[label="",style="solid", color="black", weight=3]; 647[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];647 -> 746[label="",style="solid", color="black", weight=3]; 648[label="xv400",fontsize=16,color="green",shape="box"];649[label="xv300",fontsize=16,color="green",shape="box"];650[label="xv400",fontsize=16,color="green",shape="box"];651[label="xv300",fontsize=16,color="green",shape="box"];652[label="xv400",fontsize=16,color="green",shape="box"];653[label="xv300",fontsize=16,color="green",shape="box"];654[label="xv300",fontsize=16,color="green",shape="box"];655[label="xv400",fontsize=16,color="green",shape="box"];656[label="xv400",fontsize=16,color="green",shape="box"];657[label="xv300",fontsize=16,color="green",shape="box"];658[label="xv400",fontsize=16,color="green",shape="box"];659[label="xv300",fontsize=16,color="green",shape="box"];660[label="xv400",fontsize=16,color="green",shape="box"];661[label="xv300",fontsize=16,color="green",shape="box"];662[label="xv400",fontsize=16,color="green",shape="box"];663[label="xv300",fontsize=16,color="green",shape="box"];664[label="xv400",fontsize=16,color="green",shape="box"];665[label="xv300",fontsize=16,color="green",shape="box"];666[label="xv400",fontsize=16,color="green",shape="box"];667[label="xv300",fontsize=16,color="green",shape="box"];668[label="xv400",fontsize=16,color="green",shape="box"];669[label="xv300",fontsize=16,color="green",shape="box"];670[label="xv400",fontsize=16,color="green",shape="box"];671[label="xv300",fontsize=16,color="green",shape="box"];672[label="xv400",fontsize=16,color="green",shape="box"];673[label="xv300",fontsize=16,color="green",shape="box"];674[label="xv400",fontsize=16,color="green",shape="box"];675[label="xv300",fontsize=16,color="green",shape="box"];676 -> 344[label="",style="dashed", color="red", weight=0]; 676[label="xv300 == xv400",fontsize=16,color="magenta"];676 -> 747[label="",style="dashed", color="magenta", weight=3]; 676 -> 748[label="",style="dashed", color="magenta", weight=3]; 677 -> 345[label="",style="dashed", color="red", weight=0]; 677[label="xv300 == xv400",fontsize=16,color="magenta"];677 -> 749[label="",style="dashed", color="magenta", weight=3]; 677 -> 750[label="",style="dashed", color="magenta", weight=3]; 678 -> 346[label="",style="dashed", color="red", weight=0]; 678[label="xv300 == xv400",fontsize=16,color="magenta"];678 -> 751[label="",style="dashed", color="magenta", weight=3]; 678 -> 752[label="",style="dashed", color="magenta", weight=3]; 679 -> 88[label="",style="dashed", color="red", weight=0]; 679[label="xv300 == xv400",fontsize=16,color="magenta"];679 -> 753[label="",style="dashed", color="magenta", weight=3]; 679 -> 754[label="",style="dashed", color="magenta", weight=3]; 680 -> 348[label="",style="dashed", color="red", weight=0]; 680[label="xv300 == xv400",fontsize=16,color="magenta"];680 -> 755[label="",style="dashed", color="magenta", weight=3]; 680 -> 756[label="",style="dashed", color="magenta", weight=3]; 681 -> 349[label="",style="dashed", color="red", weight=0]; 681[label="xv300 == xv400",fontsize=16,color="magenta"];681 -> 757[label="",style="dashed", color="magenta", weight=3]; 681 -> 758[label="",style="dashed", color="magenta", weight=3]; 682 -> 350[label="",style="dashed", color="red", weight=0]; 682[label="xv300 == xv400",fontsize=16,color="magenta"];682 -> 759[label="",style="dashed", color="magenta", weight=3]; 682 -> 760[label="",style="dashed", color="magenta", weight=3]; 683 -> 351[label="",style="dashed", color="red", weight=0]; 683[label="xv300 == xv400",fontsize=16,color="magenta"];683 -> 761[label="",style="dashed", color="magenta", weight=3]; 683 -> 762[label="",style="dashed", color="magenta", weight=3]; 684 -> 352[label="",style="dashed", color="red", weight=0]; 684[label="xv300 == xv400",fontsize=16,color="magenta"];684 -> 763[label="",style="dashed", color="magenta", weight=3]; 684 -> 764[label="",style="dashed", color="magenta", weight=3]; 685 -> 353[label="",style="dashed", color="red", weight=0]; 685[label="xv300 == xv400",fontsize=16,color="magenta"];685 -> 765[label="",style="dashed", color="magenta", weight=3]; 685 -> 766[label="",style="dashed", color="magenta", weight=3]; 686 -> 354[label="",style="dashed", color="red", weight=0]; 686[label="xv300 == xv400",fontsize=16,color="magenta"];686 -> 767[label="",style="dashed", color="magenta", weight=3]; 686 -> 768[label="",style="dashed", color="magenta", weight=3]; 687 -> 355[label="",style="dashed", color="red", weight=0]; 687[label="xv300 == xv400",fontsize=16,color="magenta"];687 -> 769[label="",style="dashed", color="magenta", weight=3]; 687 -> 770[label="",style="dashed", color="magenta", weight=3]; 688 -> 356[label="",style="dashed", color="red", weight=0]; 688[label="xv300 == xv400",fontsize=16,color="magenta"];688 -> 771[label="",style="dashed", color="magenta", weight=3]; 688 -> 772[label="",style="dashed", color="magenta", weight=3]; 689 -> 357[label="",style="dashed", color="red", weight=0]; 689[label="xv300 == xv400",fontsize=16,color="magenta"];689 -> 773[label="",style="dashed", color="magenta", weight=3]; 689 -> 774[label="",style="dashed", color="magenta", weight=3]; 690[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];1113[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1113[label="",style="solid", color="blue", weight=9]; 1113 -> 775[label="",style="solid", color="blue", weight=3]; 1114[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1114[label="",style="solid", color="blue", weight=9]; 1114 -> 776[label="",style="solid", color="blue", weight=3]; 1115[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1115[label="",style="solid", color="blue", weight=9]; 1115 -> 777[label="",style="solid", color="blue", weight=3]; 1116[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1116[label="",style="solid", color="blue", weight=9]; 1116 -> 778[label="",style="solid", color="blue", weight=3]; 1117[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1117[label="",style="solid", color="blue", weight=9]; 1117 -> 779[label="",style="solid", color="blue", weight=3]; 1118[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1118[label="",style="solid", color="blue", weight=9]; 1118 -> 780[label="",style="solid", color="blue", weight=3]; 1119[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1119[label="",style="solid", color="blue", weight=9]; 1119 -> 781[label="",style="solid", color="blue", weight=3]; 1120[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1120[label="",style="solid", color="blue", weight=9]; 1120 -> 782[label="",style="solid", color="blue", weight=3]; 1121[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1121[label="",style="solid", color="blue", weight=9]; 1121 -> 783[label="",style="solid", color="blue", weight=3]; 1122[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1122[label="",style="solid", color="blue", weight=9]; 1122 -> 784[label="",style="solid", color="blue", weight=3]; 1123[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1123[label="",style="solid", color="blue", weight=9]; 1123 -> 785[label="",style="solid", color="blue", weight=3]; 1124[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1124[label="",style="solid", color="blue", weight=9]; 1124 -> 786[label="",style="solid", color="blue", weight=3]; 1125[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1125[label="",style="solid", color="blue", weight=9]; 1125 -> 787[label="",style="solid", color="blue", weight=3]; 1126[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1126[label="",style="solid", color="blue", weight=9]; 1126 -> 788[label="",style="solid", color="blue", weight=3]; 691[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];1127[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1127[label="",style="solid", color="blue", weight=9]; 1127 -> 789[label="",style="solid", color="blue", weight=3]; 1128[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1128[label="",style="solid", color="blue", weight=9]; 1128 -> 790[label="",style="solid", color="blue", weight=3]; 1129[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1129[label="",style="solid", color="blue", weight=9]; 1129 -> 791[label="",style="solid", color="blue", weight=3]; 1130[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1130[label="",style="solid", color="blue", weight=9]; 1130 -> 792[label="",style="solid", color="blue", weight=3]; 1131[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1131[label="",style="solid", color="blue", weight=9]; 1131 -> 793[label="",style="solid", color="blue", weight=3]; 1132[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1132[label="",style="solid", color="blue", weight=9]; 1132 -> 794[label="",style="solid", color="blue", weight=3]; 1133[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1133[label="",style="solid", color="blue", weight=9]; 1133 -> 795[label="",style="solid", color="blue", weight=3]; 1134[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1134[label="",style="solid", color="blue", weight=9]; 1134 -> 796[label="",style="solid", color="blue", weight=3]; 1135[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1135[label="",style="solid", color="blue", weight=9]; 1135 -> 797[label="",style="solid", color="blue", weight=3]; 1136[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1136[label="",style="solid", color="blue", weight=9]; 1136 -> 798[label="",style="solid", color="blue", weight=3]; 1137[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1137[label="",style="solid", color="blue", weight=9]; 1137 -> 799[label="",style="solid", color="blue", weight=3]; 1138[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1138[label="",style="solid", color="blue", weight=9]; 1138 -> 800[label="",style="solid", color="blue", weight=3]; 1139[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1139[label="",style="solid", color="blue", weight=9]; 1139 -> 801[label="",style="solid", color="blue", weight=3]; 1140[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];691 -> 1140[label="",style="solid", color="blue", weight=9]; 1140 -> 802[label="",style="solid", color="blue", weight=3]; 692[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];1141[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];692 -> 1141[label="",style="solid", color="burlywood", weight=9]; 1141 -> 803[label="",style="solid", color="burlywood", weight=3]; 1142[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];692 -> 1142[label="",style="solid", color="burlywood", weight=9]; 1142 -> 804[label="",style="solid", color="burlywood", weight=3]; 693[label="primEqNat Zero xv400",fontsize=16,color="burlywood",shape="box"];1143[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];693 -> 1143[label="",style="solid", color="burlywood", weight=9]; 1143 -> 805[label="",style="solid", color="burlywood", weight=3]; 1144[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];693 -> 1144[label="",style="solid", color="burlywood", weight=9]; 1144 -> 806[label="",style="solid", color="burlywood", weight=3]; 694 -> 556[label="",style="dashed", color="red", weight=0]; 694[label="xv301 * xv400",fontsize=16,color="magenta"];694 -> 807[label="",style="dashed", color="magenta", weight=3]; 694 -> 808[label="",style="dashed", color="magenta", weight=3]; 695 -> 556[label="",style="dashed", color="red", weight=0]; 695[label="xv300 * xv401",fontsize=16,color="magenta"];695 -> 809[label="",style="dashed", color="magenta", weight=3]; 695 -> 810[label="",style="dashed", color="magenta", weight=3]; 696[label="primMulInt xv301 xv400",fontsize=16,color="burlywood",shape="box"];1145[label="xv301/Pos xv3010",fontsize=10,color="white",style="solid",shape="box"];696 -> 1145[label="",style="solid", color="burlywood", weight=9]; 1145 -> 811[label="",style="solid", color="burlywood", weight=3]; 1146[label="xv301/Neg xv3010",fontsize=10,color="white",style="solid",shape="box"];696 -> 1146[label="",style="solid", color="burlywood", weight=9]; 1146 -> 812[label="",style="solid", color="burlywood", weight=3]; 697[label="xv401",fontsize=16,color="green",shape="box"];698[label="xv300",fontsize=16,color="green",shape="box"];699[label="xv400",fontsize=16,color="green",shape="box"];700[label="xv300",fontsize=16,color="green",shape="box"];701[label="xv400",fontsize=16,color="green",shape="box"];702[label="xv300",fontsize=16,color="green",shape="box"];703[label="xv400",fontsize=16,color="green",shape="box"];704[label="xv300",fontsize=16,color="green",shape="box"];705[label="xv300",fontsize=16,color="green",shape="box"];706[label="xv400",fontsize=16,color="green",shape="box"];707[label="xv400",fontsize=16,color="green",shape="box"];708[label="xv300",fontsize=16,color="green",shape="box"];709[label="xv400",fontsize=16,color="green",shape="box"];710[label="xv300",fontsize=16,color="green",shape="box"];711[label="xv400",fontsize=16,color="green",shape="box"];712[label="xv300",fontsize=16,color="green",shape="box"];713[label="xv400",fontsize=16,color="green",shape="box"];714[label="xv300",fontsize=16,color="green",shape="box"];715[label="xv400",fontsize=16,color="green",shape="box"];716[label="xv300",fontsize=16,color="green",shape="box"];717[label="xv400",fontsize=16,color="green",shape="box"];718[label="xv300",fontsize=16,color="green",shape="box"];719[label="xv400",fontsize=16,color="green",shape="box"];720[label="xv300",fontsize=16,color="green",shape="box"];721[label="xv400",fontsize=16,color="green",shape="box"];722[label="xv300",fontsize=16,color="green",shape="box"];723[label="xv400",fontsize=16,color="green",shape="box"];724[label="xv300",fontsize=16,color="green",shape="box"];725[label="xv400",fontsize=16,color="green",shape="box"];726[label="xv300",fontsize=16,color="green",shape="box"];727[label="xv400",fontsize=16,color="green",shape="box"];728[label="xv300",fontsize=16,color="green",shape="box"];729[label="xv400",fontsize=16,color="green",shape="box"];730[label="xv300",fontsize=16,color="green",shape="box"];731[label="xv401",fontsize=16,color="green",shape="box"];732[label="xv301",fontsize=16,color="green",shape="box"];733[label="xv401",fontsize=16,color="green",shape="box"];734[label="xv301",fontsize=16,color="green",shape="box"];735 -> 554[label="",style="dashed", color="red", weight=0]; 735[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];735 -> 813[label="",style="dashed", color="magenta", weight=3]; 735 -> 814[label="",style="dashed", color="magenta", weight=3]; 736[label="False",fontsize=16,color="green",shape="box"];737[label="False",fontsize=16,color="green",shape="box"];738[label="True",fontsize=16,color="green",shape="box"];739[label="False",fontsize=16,color="green",shape="box"];740[label="True",fontsize=16,color="green",shape="box"];741 -> 554[label="",style="dashed", color="red", weight=0]; 741[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];741 -> 815[label="",style="dashed", color="magenta", weight=3]; 741 -> 816[label="",style="dashed", color="magenta", weight=3]; 742[label="False",fontsize=16,color="green",shape="box"];743[label="False",fontsize=16,color="green",shape="box"];744[label="True",fontsize=16,color="green",shape="box"];745[label="False",fontsize=16,color="green",shape="box"];746[label="True",fontsize=16,color="green",shape="box"];747[label="xv400",fontsize=16,color="green",shape="box"];748[label="xv300",fontsize=16,color="green",shape="box"];749[label="xv400",fontsize=16,color="green",shape="box"];750[label="xv300",fontsize=16,color="green",shape="box"];751[label="xv400",fontsize=16,color="green",shape="box"];752[label="xv300",fontsize=16,color="green",shape="box"];753[label="xv300",fontsize=16,color="green",shape="box"];754[label="xv400",fontsize=16,color="green",shape="box"];755[label="xv400",fontsize=16,color="green",shape="box"];756[label="xv300",fontsize=16,color="green",shape="box"];757[label="xv400",fontsize=16,color="green",shape="box"];758[label="xv300",fontsize=16,color="green",shape="box"];759[label="xv400",fontsize=16,color="green",shape="box"];760[label="xv300",fontsize=16,color="green",shape="box"];761[label="xv400",fontsize=16,color="green",shape="box"];762[label="xv300",fontsize=16,color="green",shape="box"];763[label="xv400",fontsize=16,color="green",shape="box"];764[label="xv300",fontsize=16,color="green",shape="box"];765[label="xv400",fontsize=16,color="green",shape="box"];766[label="xv300",fontsize=16,color="green",shape="box"];767[label="xv400",fontsize=16,color="green",shape="box"];768[label="xv300",fontsize=16,color="green",shape="box"];769[label="xv400",fontsize=16,color="green",shape="box"];770[label="xv300",fontsize=16,color="green",shape="box"];771[label="xv400",fontsize=16,color="green",shape="box"];772[label="xv300",fontsize=16,color="green",shape="box"];773[label="xv400",fontsize=16,color="green",shape="box"];774[label="xv300",fontsize=16,color="green",shape="box"];775 -> 344[label="",style="dashed", color="red", weight=0]; 775[label="xv301 == xv401",fontsize=16,color="magenta"];775 -> 817[label="",style="dashed", color="magenta", weight=3]; 775 -> 818[label="",style="dashed", color="magenta", weight=3]; 776 -> 345[label="",style="dashed", color="red", weight=0]; 776[label="xv301 == xv401",fontsize=16,color="magenta"];776 -> 819[label="",style="dashed", color="magenta", weight=3]; 776 -> 820[label="",style="dashed", color="magenta", weight=3]; 777 -> 346[label="",style="dashed", color="red", weight=0]; 777[label="xv301 == xv401",fontsize=16,color="magenta"];777 -> 821[label="",style="dashed", color="magenta", weight=3]; 777 -> 822[label="",style="dashed", color="magenta", weight=3]; 778 -> 88[label="",style="dashed", color="red", weight=0]; 778[label="xv301 == xv401",fontsize=16,color="magenta"];778 -> 823[label="",style="dashed", color="magenta", weight=3]; 778 -> 824[label="",style="dashed", color="magenta", weight=3]; 779 -> 348[label="",style="dashed", color="red", weight=0]; 779[label="xv301 == xv401",fontsize=16,color="magenta"];779 -> 825[label="",style="dashed", color="magenta", weight=3]; 779 -> 826[label="",style="dashed", color="magenta", weight=3]; 780 -> 349[label="",style="dashed", color="red", weight=0]; 780[label="xv301 == xv401",fontsize=16,color="magenta"];780 -> 827[label="",style="dashed", color="magenta", weight=3]; 780 -> 828[label="",style="dashed", color="magenta", weight=3]; 781 -> 350[label="",style="dashed", color="red", weight=0]; 781[label="xv301 == xv401",fontsize=16,color="magenta"];781 -> 829[label="",style="dashed", color="magenta", weight=3]; 781 -> 830[label="",style="dashed", color="magenta", weight=3]; 782 -> 351[label="",style="dashed", color="red", weight=0]; 782[label="xv301 == xv401",fontsize=16,color="magenta"];782 -> 831[label="",style="dashed", color="magenta", weight=3]; 782 -> 832[label="",style="dashed", color="magenta", weight=3]; 783 -> 352[label="",style="dashed", color="red", weight=0]; 783[label="xv301 == xv401",fontsize=16,color="magenta"];783 -> 833[label="",style="dashed", color="magenta", weight=3]; 783 -> 834[label="",style="dashed", color="magenta", weight=3]; 784 -> 353[label="",style="dashed", color="red", weight=0]; 784[label="xv301 == xv401",fontsize=16,color="magenta"];784 -> 835[label="",style="dashed", color="magenta", weight=3]; 784 -> 836[label="",style="dashed", color="magenta", weight=3]; 785 -> 354[label="",style="dashed", color="red", weight=0]; 785[label="xv301 == xv401",fontsize=16,color="magenta"];785 -> 837[label="",style="dashed", color="magenta", weight=3]; 785 -> 838[label="",style="dashed", color="magenta", weight=3]; 786 -> 355[label="",style="dashed", color="red", weight=0]; 786[label="xv301 == xv401",fontsize=16,color="magenta"];786 -> 839[label="",style="dashed", color="magenta", weight=3]; 786 -> 840[label="",style="dashed", color="magenta", weight=3]; 787 -> 356[label="",style="dashed", color="red", weight=0]; 787[label="xv301 == xv401",fontsize=16,color="magenta"];787 -> 841[label="",style="dashed", color="magenta", weight=3]; 787 -> 842[label="",style="dashed", color="magenta", weight=3]; 788 -> 357[label="",style="dashed", color="red", weight=0]; 788[label="xv301 == xv401",fontsize=16,color="magenta"];788 -> 843[label="",style="dashed", color="magenta", weight=3]; 788 -> 844[label="",style="dashed", color="magenta", weight=3]; 789 -> 344[label="",style="dashed", color="red", weight=0]; 789[label="xv302 == xv402",fontsize=16,color="magenta"];789 -> 845[label="",style="dashed", color="magenta", weight=3]; 789 -> 846[label="",style="dashed", color="magenta", weight=3]; 790 -> 345[label="",style="dashed", color="red", weight=0]; 790[label="xv302 == xv402",fontsize=16,color="magenta"];790 -> 847[label="",style="dashed", color="magenta", weight=3]; 790 -> 848[label="",style="dashed", color="magenta", weight=3]; 791 -> 346[label="",style="dashed", color="red", weight=0]; 791[label="xv302 == xv402",fontsize=16,color="magenta"];791 -> 849[label="",style="dashed", color="magenta", weight=3]; 791 -> 850[label="",style="dashed", color="magenta", weight=3]; 792 -> 88[label="",style="dashed", color="red", weight=0]; 792[label="xv302 == xv402",fontsize=16,color="magenta"];792 -> 851[label="",style="dashed", color="magenta", weight=3]; 792 -> 852[label="",style="dashed", color="magenta", weight=3]; 793 -> 348[label="",style="dashed", color="red", weight=0]; 793[label="xv302 == xv402",fontsize=16,color="magenta"];793 -> 853[label="",style="dashed", color="magenta", weight=3]; 793 -> 854[label="",style="dashed", color="magenta", weight=3]; 794 -> 349[label="",style="dashed", color="red", weight=0]; 794[label="xv302 == xv402",fontsize=16,color="magenta"];794 -> 855[label="",style="dashed", color="magenta", weight=3]; 794 -> 856[label="",style="dashed", color="magenta", weight=3]; 795 -> 350[label="",style="dashed", color="red", weight=0]; 795[label="xv302 == xv402",fontsize=16,color="magenta"];795 -> 857[label="",style="dashed", color="magenta", weight=3]; 795 -> 858[label="",style="dashed", color="magenta", weight=3]; 796 -> 351[label="",style="dashed", color="red", weight=0]; 796[label="xv302 == xv402",fontsize=16,color="magenta"];796 -> 859[label="",style="dashed", color="magenta", weight=3]; 796 -> 860[label="",style="dashed", color="magenta", weight=3]; 797 -> 352[label="",style="dashed", color="red", weight=0]; 797[label="xv302 == xv402",fontsize=16,color="magenta"];797 -> 861[label="",style="dashed", color="magenta", weight=3]; 797 -> 862[label="",style="dashed", color="magenta", weight=3]; 798 -> 353[label="",style="dashed", color="red", weight=0]; 798[label="xv302 == xv402",fontsize=16,color="magenta"];798 -> 863[label="",style="dashed", color="magenta", weight=3]; 798 -> 864[label="",style="dashed", color="magenta", weight=3]; 799 -> 354[label="",style="dashed", color="red", weight=0]; 799[label="xv302 == xv402",fontsize=16,color="magenta"];799 -> 865[label="",style="dashed", color="magenta", weight=3]; 799 -> 866[label="",style="dashed", color="magenta", weight=3]; 800 -> 355[label="",style="dashed", color="red", weight=0]; 800[label="xv302 == xv402",fontsize=16,color="magenta"];800 -> 867[label="",style="dashed", color="magenta", weight=3]; 800 -> 868[label="",style="dashed", color="magenta", weight=3]; 801 -> 356[label="",style="dashed", color="red", weight=0]; 801[label="xv302 == xv402",fontsize=16,color="magenta"];801 -> 869[label="",style="dashed", color="magenta", weight=3]; 801 -> 870[label="",style="dashed", color="magenta", weight=3]; 802 -> 357[label="",style="dashed", color="red", weight=0]; 802[label="xv302 == xv402",fontsize=16,color="magenta"];802 -> 871[label="",style="dashed", color="magenta", weight=3]; 802 -> 872[label="",style="dashed", color="magenta", weight=3]; 803[label="primEqNat (Succ xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];803 -> 873[label="",style="solid", color="black", weight=3]; 804[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];804 -> 874[label="",style="solid", color="black", weight=3]; 805[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];805 -> 875[label="",style="solid", color="black", weight=3]; 806[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];806 -> 876[label="",style="solid", color="black", weight=3]; 807[label="xv400",fontsize=16,color="green",shape="box"];808[label="xv301",fontsize=16,color="green",shape="box"];809[label="xv401",fontsize=16,color="green",shape="box"];810[label="xv300",fontsize=16,color="green",shape="box"];811[label="primMulInt (Pos xv3010) xv400",fontsize=16,color="burlywood",shape="box"];1147[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];811 -> 1147[label="",style="solid", color="burlywood", weight=9]; 1147 -> 877[label="",style="solid", color="burlywood", weight=3]; 1148[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];811 -> 1148[label="",style="solid", color="burlywood", weight=9]; 1148 -> 878[label="",style="solid", color="burlywood", weight=3]; 812[label="primMulInt (Neg xv3010) xv400",fontsize=16,color="burlywood",shape="box"];1149[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];812 -> 1149[label="",style="solid", color="burlywood", weight=9]; 1149 -> 879[label="",style="solid", color="burlywood", weight=3]; 1150[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];812 -> 1150[label="",style="solid", color="burlywood", weight=9]; 1150 -> 880[label="",style="solid", color="burlywood", weight=3]; 813[label="xv4000",fontsize=16,color="green",shape="box"];814[label="xv3000",fontsize=16,color="green",shape="box"];815[label="xv4000",fontsize=16,color="green",shape="box"];816[label="xv3000",fontsize=16,color="green",shape="box"];817[label="xv401",fontsize=16,color="green",shape="box"];818[label="xv301",fontsize=16,color="green",shape="box"];819[label="xv401",fontsize=16,color="green",shape="box"];820[label="xv301",fontsize=16,color="green",shape="box"];821[label="xv401",fontsize=16,color="green",shape="box"];822[label="xv301",fontsize=16,color="green",shape="box"];823[label="xv301",fontsize=16,color="green",shape="box"];824[label="xv401",fontsize=16,color="green",shape="box"];825[label="xv401",fontsize=16,color="green",shape="box"];826[label="xv301",fontsize=16,color="green",shape="box"];827[label="xv401",fontsize=16,color="green",shape="box"];828[label="xv301",fontsize=16,color="green",shape="box"];829[label="xv401",fontsize=16,color="green",shape="box"];830[label="xv301",fontsize=16,color="green",shape="box"];831[label="xv401",fontsize=16,color="green",shape="box"];832[label="xv301",fontsize=16,color="green",shape="box"];833[label="xv401",fontsize=16,color="green",shape="box"];834[label="xv301",fontsize=16,color="green",shape="box"];835[label="xv401",fontsize=16,color="green",shape="box"];836[label="xv301",fontsize=16,color="green",shape="box"];837[label="xv401",fontsize=16,color="green",shape="box"];838[label="xv301",fontsize=16,color="green",shape="box"];839[label="xv401",fontsize=16,color="green",shape="box"];840[label="xv301",fontsize=16,color="green",shape="box"];841[label="xv401",fontsize=16,color="green",shape="box"];842[label="xv301",fontsize=16,color="green",shape="box"];843[label="xv401",fontsize=16,color="green",shape="box"];844[label="xv301",fontsize=16,color="green",shape="box"];845[label="xv402",fontsize=16,color="green",shape="box"];846[label="xv302",fontsize=16,color="green",shape="box"];847[label="xv402",fontsize=16,color="green",shape="box"];848[label="xv302",fontsize=16,color="green",shape="box"];849[label="xv402",fontsize=16,color="green",shape="box"];850[label="xv302",fontsize=16,color="green",shape="box"];851[label="xv302",fontsize=16,color="green",shape="box"];852[label="xv402",fontsize=16,color="green",shape="box"];853[label="xv402",fontsize=16,color="green",shape="box"];854[label="xv302",fontsize=16,color="green",shape="box"];855[label="xv402",fontsize=16,color="green",shape="box"];856[label="xv302",fontsize=16,color="green",shape="box"];857[label="xv402",fontsize=16,color="green",shape="box"];858[label="xv302",fontsize=16,color="green",shape="box"];859[label="xv402",fontsize=16,color="green",shape="box"];860[label="xv302",fontsize=16,color="green",shape="box"];861[label="xv402",fontsize=16,color="green",shape="box"];862[label="xv302",fontsize=16,color="green",shape="box"];863[label="xv402",fontsize=16,color="green",shape="box"];864[label="xv302",fontsize=16,color="green",shape="box"];865[label="xv402",fontsize=16,color="green",shape="box"];866[label="xv302",fontsize=16,color="green",shape="box"];867[label="xv402",fontsize=16,color="green",shape="box"];868[label="xv302",fontsize=16,color="green",shape="box"];869[label="xv402",fontsize=16,color="green",shape="box"];870[label="xv302",fontsize=16,color="green",shape="box"];871[label="xv402",fontsize=16,color="green",shape="box"];872[label="xv302",fontsize=16,color="green",shape="box"];873 -> 554[label="",style="dashed", color="red", weight=0]; 873[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];873 -> 881[label="",style="dashed", color="magenta", weight=3]; 873 -> 882[label="",style="dashed", color="magenta", weight=3]; 874[label="False",fontsize=16,color="green",shape="box"];875[label="False",fontsize=16,color="green",shape="box"];876[label="True",fontsize=16,color="green",shape="box"];877[label="primMulInt (Pos xv3010) (Pos xv4000)",fontsize=16,color="black",shape="box"];877 -> 883[label="",style="solid", color="black", weight=3]; 878[label="primMulInt (Pos xv3010) (Neg xv4000)",fontsize=16,color="black",shape="box"];878 -> 884[label="",style="solid", color="black", weight=3]; 879[label="primMulInt (Neg xv3010) (Pos xv4000)",fontsize=16,color="black",shape="box"];879 -> 885[label="",style="solid", color="black", weight=3]; 880[label="primMulInt (Neg xv3010) (Neg xv4000)",fontsize=16,color="black",shape="box"];880 -> 886[label="",style="solid", color="black", weight=3]; 881[label="xv4000",fontsize=16,color="green",shape="box"];882[label="xv3000",fontsize=16,color="green",shape="box"];883[label="Pos (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];883 -> 887[label="",style="dashed", color="green", weight=3]; 884[label="Neg (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];884 -> 888[label="",style="dashed", color="green", weight=3]; 885[label="Neg (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];885 -> 889[label="",style="dashed", color="green", weight=3]; 886[label="Pos (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];886 -> 890[label="",style="dashed", color="green", weight=3]; 887[label="primMulNat xv3010 xv4000",fontsize=16,color="burlywood",shape="triangle"];1151[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];887 -> 1151[label="",style="solid", color="burlywood", weight=9]; 1151 -> 891[label="",style="solid", color="burlywood", weight=3]; 1152[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];887 -> 1152[label="",style="solid", color="burlywood", weight=9]; 1152 -> 892[label="",style="solid", color="burlywood", weight=3]; 888 -> 887[label="",style="dashed", color="red", weight=0]; 888[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];888 -> 893[label="",style="dashed", color="magenta", weight=3]; 889 -> 887[label="",style="dashed", color="red", weight=0]; 889[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];889 -> 894[label="",style="dashed", color="magenta", weight=3]; 890 -> 887[label="",style="dashed", color="red", weight=0]; 890[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];890 -> 895[label="",style="dashed", color="magenta", weight=3]; 890 -> 896[label="",style="dashed", color="magenta", weight=3]; 891[label="primMulNat (Succ xv30100) xv4000",fontsize=16,color="burlywood",shape="box"];1153[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];891 -> 1153[label="",style="solid", color="burlywood", weight=9]; 1153 -> 897[label="",style="solid", color="burlywood", weight=3]; 1154[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];891 -> 1154[label="",style="solid", color="burlywood", weight=9]; 1154 -> 898[label="",style="solid", color="burlywood", weight=3]; 892[label="primMulNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1155[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];892 -> 1155[label="",style="solid", color="burlywood", weight=9]; 1155 -> 899[label="",style="solid", color="burlywood", weight=3]; 1156[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];892 -> 1156[label="",style="solid", color="burlywood", weight=9]; 1156 -> 900[label="",style="solid", color="burlywood", weight=3]; 893[label="xv4000",fontsize=16,color="green",shape="box"];894[label="xv3010",fontsize=16,color="green",shape="box"];895[label="xv4000",fontsize=16,color="green",shape="box"];896[label="xv3010",fontsize=16,color="green",shape="box"];897[label="primMulNat (Succ xv30100) (Succ xv40000)",fontsize=16,color="black",shape="box"];897 -> 901[label="",style="solid", color="black", weight=3]; 898[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];898 -> 902[label="",style="solid", color="black", weight=3]; 899[label="primMulNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];899 -> 903[label="",style="solid", color="black", weight=3]; 900[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];900 -> 904[label="",style="solid", color="black", weight=3]; 901 -> 905[label="",style="dashed", color="red", weight=0]; 901[label="primPlusNat (primMulNat xv30100 (Succ xv40000)) (Succ xv40000)",fontsize=16,color="magenta"];901 -> 906[label="",style="dashed", color="magenta", weight=3]; 902[label="Zero",fontsize=16,color="green",shape="box"];903[label="Zero",fontsize=16,color="green",shape="box"];904[label="Zero",fontsize=16,color="green",shape="box"];906 -> 887[label="",style="dashed", color="red", weight=0]; 906[label="primMulNat xv30100 (Succ xv40000)",fontsize=16,color="magenta"];906 -> 907[label="",style="dashed", color="magenta", weight=3]; 906 -> 908[label="",style="dashed", color="magenta", weight=3]; 905[label="primPlusNat xv28 (Succ xv40000)",fontsize=16,color="burlywood",shape="triangle"];1157[label="xv28/Succ xv280",fontsize=10,color="white",style="solid",shape="box"];905 -> 1157[label="",style="solid", color="burlywood", weight=9]; 1157 -> 909[label="",style="solid", color="burlywood", weight=3]; 1158[label="xv28/Zero",fontsize=10,color="white",style="solid",shape="box"];905 -> 1158[label="",style="solid", color="burlywood", weight=9]; 1158 -> 910[label="",style="solid", color="burlywood", weight=3]; 907[label="Succ xv40000",fontsize=16,color="green",shape="box"];908[label="xv30100",fontsize=16,color="green",shape="box"];909[label="primPlusNat (Succ xv280) (Succ xv40000)",fontsize=16,color="black",shape="box"];909 -> 911[label="",style="solid", color="black", weight=3]; 910[label="primPlusNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];910 -> 912[label="",style="solid", color="black", weight=3]; 911[label="Succ (Succ (primPlusNat xv280 xv40000))",fontsize=16,color="green",shape="box"];911 -> 913[label="",style="dashed", color="green", weight=3]; 912[label="Succ xv40000",fontsize=16,color="green",shape="box"];913[label="primPlusNat xv280 xv40000",fontsize=16,color="burlywood",shape="triangle"];1159[label="xv280/Succ xv2800",fontsize=10,color="white",style="solid",shape="box"];913 -> 1159[label="",style="solid", color="burlywood", weight=9]; 1159 -> 914[label="",style="solid", color="burlywood", weight=3]; 1160[label="xv280/Zero",fontsize=10,color="white",style="solid",shape="box"];913 -> 1160[label="",style="solid", color="burlywood", weight=9]; 1160 -> 915[label="",style="solid", color="burlywood", weight=3]; 914[label="primPlusNat (Succ xv2800) xv40000",fontsize=16,color="burlywood",shape="box"];1161[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];914 -> 1161[label="",style="solid", color="burlywood", weight=9]; 1161 -> 916[label="",style="solid", color="burlywood", weight=3]; 1162[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];914 -> 1162[label="",style="solid", color="burlywood", weight=9]; 1162 -> 917[label="",style="solid", color="burlywood", weight=3]; 915[label="primPlusNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];1163[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];915 -> 1163[label="",style="solid", color="burlywood", weight=9]; 1163 -> 918[label="",style="solid", color="burlywood", weight=3]; 1164[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];915 -> 1164[label="",style="solid", color="burlywood", weight=9]; 1164 -> 919[label="",style="solid", color="burlywood", weight=3]; 916[label="primPlusNat (Succ xv2800) (Succ xv400000)",fontsize=16,color="black",shape="box"];916 -> 920[label="",style="solid", color="black", weight=3]; 917[label="primPlusNat (Succ xv2800) Zero",fontsize=16,color="black",shape="box"];917 -> 921[label="",style="solid", color="black", weight=3]; 918[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];918 -> 922[label="",style="solid", color="black", weight=3]; 919[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];919 -> 923[label="",style="solid", color="black", weight=3]; 920[label="Succ (Succ (primPlusNat xv2800 xv400000))",fontsize=16,color="green",shape="box"];920 -> 924[label="",style="dashed", color="green", weight=3]; 921[label="Succ xv2800",fontsize=16,color="green",shape="box"];922[label="Succ xv400000",fontsize=16,color="green",shape="box"];923[label="Zero",fontsize=16,color="green",shape="box"];924 -> 913[label="",style="dashed", color="red", weight=0]; 924[label="primPlusNat xv2800 xv400000",fontsize=16,color="magenta"];924 -> 925[label="",style="dashed", color="magenta", weight=3]; 924 -> 926[label="",style="dashed", color="magenta", weight=3]; 925[label="xv400000",fontsize=16,color="green",shape="box"];926[label="xv2800",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv30100), Succ(xv40000)) -> new_primMulNat(xv30100, Succ(xv40000)) 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_primMulNat(Succ(xv30100), Succ(xv40000)) -> new_primMulNat(xv30100, Succ(xv40000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, db), dc), cf) -> new_esEs1(xv300, xv400, db, dc) new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, dd)), cf), cb) -> new_esEs2(xv300, xv400, dd) new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, de), df), dg), cf) -> new_esEs3(xv300, xv400, de, df, dg) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ha), hb), ge, gf) -> new_esEs1(xv300, xv400, ha, hb) new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_[], h)), cb) -> new_esEs(xv300, xv400, h) new_esEs2(Just(xv300), Just(xv400), app(ty_[], fb)) -> new_esEs(xv300, xv400, fb) new_esEs2(Just(xv300), Just(xv400), app(app(app(ty_@3, ga), gb), gc)) -> new_esEs3(xv300, xv400, ga, gb, gc) new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(app(ty_Either, ed), ee)), cb) -> new_esEs1(xv300, xv400, ed, ee) new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(ty_Maybe, ef)), cb) -> new_esEs2(xv300, xv400, ef) new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_[], h)) -> new_esEs(xv300, xv400, h) new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_Either, bc), bd)), cb) -> new_esEs1(xv300, xv400, bc, bd) new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, cg), da)), cf), cb) -> new_esEs0(xv300, xv400, cg, da) new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, ff), fg)), cb) -> new_esEs1(xv300, xv400, ff, fg) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(app(app(ty_@3, baf), bag), bah)), gf), cb) -> new_esEs3(xv301, xv401, baf, bag, bah) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, hd), he), hf)), ge), gf), cb) -> new_esEs3(xv300, xv400, hd, he, hf) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(app(ty_Either, bbd), bbe)) -> new_esEs1(xv302, xv402, bbd, bbe) new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, be)) -> new_esEs2(xv300, xv400, be) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(app(ty_@2, baa), bab), gf) -> new_esEs0(xv301, xv401, baa, bab) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(app(ty_@2, baa), bab)), gf), cb) -> new_esEs0(xv301, xv401, baa, bab) new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bc), bd)) -> new_esEs1(xv300, xv400, bc, bd) new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_[], ce)), cf), cb) -> new_esEs(xv300, xv400, ce) new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, dd), cf) -> new_esEs2(xv300, xv400, dd) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(ty_[], hh)), gf), cb) -> new_esEs(xv301, xv401, hh) new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(ty_[], ea)), cb) -> new_esEs(xv300, xv400, ea) new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, fh)), cb) -> new_esEs2(xv300, xv400, fh) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, gg), gh), ge, gf) -> new_esEs0(xv300, xv400, gg, gh) new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], ca), cb) -> new_esEs(xv301, xv401, ca) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(app(app(ty_@3, baf), bag), bah), gf) -> new_esEs3(xv301, xv401, baf, bag, bah) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(ty_[], hh), gf) -> new_esEs(xv301, xv401, hh) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(app(ty_Either, bbd), bbe)), cb) -> new_esEs1(xv302, xv402, bbd, bbe) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(app(ty_Either, bcf), bcg)) -> new_esEs1(xv31, xv41, bcf, bcg) new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(app(ty_@2, eb), ec)), cb) -> new_esEs0(xv300, xv400, eb, ec) new_esEs1(Right(xv300), Right(xv400), dh, app(app(ty_@2, eb), ec)) -> new_esEs0(xv300, xv400, eb, ec) new_esEs1(Right(xv300), Right(xv400), dh, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs3(xv300, xv400, eg, eh, fa) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, cc), cd), cb) -> new_esEs0(xv30, xv40, cc, cd) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, hc)), ge), gf), cb) -> new_esEs2(xv300, xv400, hc) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, gg), gh)), ge), gf), cb) -> new_esEs0(xv300, xv400, gg, gh) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(ty_Maybe, bae), gf) -> new_esEs2(xv301, xv401, bae) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(ty_Maybe, bae)), gf), cb) -> new_esEs2(xv301, xv401, bae) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(app(app(ty_@3, bbg), bbh), bca)), cb) -> new_esEs3(xv302, xv402, bbg, bbh, bca) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(app(ty_Either, bac), bad), gf) -> new_esEs1(xv301, xv401, bac, bad) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(app(ty_@2, bbb), bbc)), cb) -> new_esEs0(xv302, xv402, bbb, bbc) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(ty_Maybe, bch)) -> new_esEs2(xv31, xv41, bch) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(ty_Maybe, bbf)), cb) -> new_esEs2(xv302, xv402, bbf) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, hd), he), hf), ge, gf) -> new_esEs3(xv300, xv400, hd, he, hf) new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs3(xv300, xv400, bf, bg, bh) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(app(ty_@2, bcd), bce)) -> new_esEs0(xv31, xv41, bcd, bce) new_esEs(:(xv300, xv301), :(xv400, xv401), ca) -> new_esEs(xv301, xv401, ca) new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, fc), fd)), cb) -> new_esEs0(xv300, xv400, fc, fd) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, ha), hb)), ge), gf), cb) -> new_esEs1(xv300, xv400, ha, hb) new_esEs2(Just(xv300), Just(xv400), app(app(ty_@2, fc), fd)) -> new_esEs0(xv300, xv400, fc, fd) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], gd)), ge), gf), cb) -> new_esEs(xv300, xv400, gd) new_esEs2(Just(xv300), Just(xv400), app(ty_Maybe, fh)) -> new_esEs2(xv300, xv400, fh) new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, cg), da), cf) -> new_esEs0(xv300, xv400, cg, da) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(app(app(ty_@3, bbg), bbh), bca)) -> new_esEs3(xv302, xv402, bbg, bbh, bca) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(app(app(ty_@3, bda), bdb), bdc)) -> new_esEs3(xv31, xv41, bda, bdb, bdc) new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_Maybe, be)), cb) -> new_esEs2(xv300, xv400, be) new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, db), dc)), cf), cb) -> new_esEs1(xv300, xv400, db, dc) new_esEs1(Left(xv300), Left(xv400), app(ty_[], ce), cf) -> new_esEs(xv300, xv400, ce) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(ty_[], bba)), cb) -> new_esEs(xv302, xv402, bba) new_esEs2(Just(xv300), Just(xv400), app(app(ty_Either, ff), fg)) -> new_esEs1(xv300, xv400, ff, fg) new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(app(app(ty_@3, eg), eh), fa)), cb) -> new_esEs3(xv300, xv400, eg, eh, fa) new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(app(ty_@3, bf), bg), bh)), cb) -> new_esEs3(xv300, xv400, bf, bg, bh) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(app(ty_@2, bbb), bbc)) -> new_esEs0(xv302, xv402, bbb, bbc) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(ty_[], bba)) -> new_esEs(xv302, xv402, bba) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(ty_[], bcc)) -> new_esEs(xv31, xv41, bcc) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(ty_Maybe, bbf)) -> new_esEs2(xv302, xv402, bbf) new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, de), df), dg)), cf), cb) -> new_esEs3(xv300, xv400, de, df, dg) new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, ba), bb)) -> new_esEs0(xv300, xv400, ba, bb) new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_[], fb)), cb) -> new_esEs(xv300, xv400, fb) new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_@2, ba), bb)), cb) -> new_esEs0(xv300, xv400, ba, bb) new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(app(ty_Either, bac), bad)), gf), cb) -> new_esEs1(xv301, xv401, bac, bad) new_esEs1(Right(xv300), Right(xv400), dh, app(ty_[], ea)) -> new_esEs(xv300, xv400, ea) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], gd), ge, gf) -> new_esEs(xv300, xv400, gd) new_esEs1(Right(xv300), Right(xv400), dh, app(ty_Maybe, ef)) -> new_esEs2(xv300, xv400, ef) new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, hc), ge, gf) -> new_esEs2(xv300, xv400, hc) new_esEs1(Right(xv300), Right(xv400), dh, app(app(ty_Either, ed), ee)) -> new_esEs1(xv300, xv400, ed, ee) new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, ga), gb), gc)), cb) -> new_esEs3(xv300, xv400, ga, gb, gc) 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_esEs2(Just(xv300), Just(xv400), app(app(ty_Either, ff), fg)) -> new_esEs1(xv300, xv400, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xv300), Just(xv400), app(app(ty_@2, fc), fd)) -> new_esEs0(xv300, xv400, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xv300), Just(xv400), app(app(app(ty_@3, ga), gb), gc)) -> new_esEs3(xv300, xv400, ga, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bc), bd)) -> new_esEs1(xv300, xv400, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, ba), bb)) -> new_esEs0(xv300, xv400, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs3(xv300, xv400, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(xv300), Just(xv400), app(ty_Maybe, fh)) -> new_esEs2(xv300, xv400, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xv300), Just(xv400), app(ty_[], fb)) -> new_esEs(xv300, xv400, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, be)) -> new_esEs2(xv300, xv400, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, db), dc), cf) -> new_esEs1(xv300, xv400, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xv300), Right(xv400), dh, app(app(ty_Either, ed), ee)) -> new_esEs1(xv300, xv400, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Right(xv300), Right(xv400), dh, app(app(ty_@2, eb), ec)) -> new_esEs0(xv300, xv400, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, cg), da), cf) -> new_esEs0(xv300, xv400, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, de), df), dg), cf) -> new_esEs3(xv300, xv400, de, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xv300), Right(xv400), dh, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs3(xv300, xv400, eg, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, dd), cf) -> new_esEs2(xv300, xv400, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xv300), Right(xv400), dh, app(ty_Maybe, ef)) -> new_esEs2(xv300, xv400, ef) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xv300), Left(xv400), app(ty_[], ce), cf) -> new_esEs(xv300, xv400, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xv300), Right(xv400), dh, app(ty_[], ea)) -> new_esEs(xv300, xv400, ea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ha), hb), ge, gf) -> new_esEs1(xv300, xv400, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(app(ty_Either, bbd), bbe)) -> new_esEs1(xv302, xv402, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(app(ty_Either, bac), bad), gf) -> new_esEs1(xv301, xv401, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(app(ty_Either, ed), ee)), cb) -> new_esEs1(xv300, xv400, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_Either, bc), bd)), cb) -> new_esEs1(xv300, xv400, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, ff), fg)), cb) -> new_esEs1(xv300, xv400, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(app(ty_Either, bbd), bbe)), cb) -> new_esEs1(xv302, xv402, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(app(ty_Either, bcf), bcg)) -> new_esEs1(xv31, xv41, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, ha), hb)), ge), gf), cb) -> new_esEs1(xv300, xv400, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, db), dc)), cf), cb) -> new_esEs1(xv300, xv400, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(app(ty_Either, bac), bad)), gf), cb) -> new_esEs1(xv301, xv401, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(app(ty_@2, baa), bab), gf) -> new_esEs0(xv301, xv401, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, gg), gh), ge, gf) -> new_esEs0(xv300, xv400, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(app(ty_@2, bbb), bbc)) -> new_esEs0(xv302, xv402, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, cg), da)), cf), cb) -> new_esEs0(xv300, xv400, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(app(ty_@2, baa), bab)), gf), cb) -> new_esEs0(xv301, xv401, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(app(ty_@2, eb), ec)), cb) -> new_esEs0(xv300, xv400, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, cc), cd), cb) -> new_esEs0(xv30, xv40, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, gg), gh)), ge), gf), cb) -> new_esEs0(xv300, xv400, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(app(ty_@2, bbb), bbc)), cb) -> new_esEs0(xv302, xv402, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(app(ty_@2, bcd), bce)) -> new_esEs0(xv31, xv41, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, fc), fd)), cb) -> new_esEs0(xv300, xv400, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_@2, ba), bb)), cb) -> new_esEs0(xv300, xv400, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(app(app(ty_@3, baf), bag), bah), gf) -> new_esEs3(xv301, xv401, baf, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, hd), he), hf), ge, gf) -> new_esEs3(xv300, xv400, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(app(app(ty_@3, bbg), bbh), bca)) -> new_esEs3(xv302, xv402, bbg, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(ty_Maybe, bae), gf) -> new_esEs2(xv301, xv401, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(ty_Maybe, bbf)) -> new_esEs2(xv302, xv402, bbf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, hc), ge, gf) -> new_esEs2(xv300, xv400, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, app(ty_[], hh), gf) -> new_esEs(xv301, xv401, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hg, ge, app(ty_[], bba)) -> new_esEs(xv302, xv402, bba) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], gd), ge, gf) -> new_esEs(xv300, xv400, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(app(app(ty_@3, baf), bag), bah)), gf), cb) -> new_esEs3(xv301, xv401, baf, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, hd), he), hf)), ge), gf), cb) -> new_esEs3(xv300, xv400, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(app(app(ty_@3, bbg), bbh), bca)), cb) -> new_esEs3(xv302, xv402, bbg, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(app(app(ty_@3, bda), bdb), bdc)) -> new_esEs3(xv31, xv41, bda, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(app(app(ty_@3, eg), eh), fa)), cb) -> new_esEs3(xv300, xv400, eg, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(app(ty_@3, bf), bg), bh)), cb) -> new_esEs3(xv300, xv400, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, de), df), dg)), cf), cb) -> new_esEs3(xv300, xv400, de, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, ga), gb), gc)), cb) -> new_esEs3(xv300, xv400, ga, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_[], h)) -> new_esEs(xv300, xv400, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv400, xv401), ca) -> new_esEs(xv301, xv401, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, dd)), cf), cb) -> new_esEs2(xv300, xv400, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(ty_Maybe, ef)), cb) -> new_esEs2(xv300, xv400, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, fh)), cb) -> new_esEs2(xv300, xv400, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, hc)), ge), gf), cb) -> new_esEs2(xv300, xv400, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(ty_Maybe, bae)), gf), cb) -> new_esEs2(xv301, xv401, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(ty_Maybe, bch)) -> new_esEs2(xv31, xv41, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(ty_Maybe, bbf)), cb) -> new_esEs2(xv302, xv402, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_Maybe, be)), cb) -> new_esEs2(xv300, xv400, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_[], h)), cb) -> new_esEs(xv300, xv400, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_[], ce)), cf), cb) -> new_esEs(xv300, xv400, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), app(ty_[], hh)), gf), cb) -> new_esEs(xv301, xv401, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, dh), app(ty_[], ea)), cb) -> new_esEs(xv300, xv400, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], ca), cb) -> new_esEs(xv301, xv401, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], gd)), ge), gf), cb) -> new_esEs(xv300, xv400, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hg), ge), app(ty_[], bba)), cb) -> new_esEs(xv302, xv402, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), bcb, app(ty_[], bcc)) -> new_esEs(xv31, xv41, bcc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_[], fb)), cb) -> new_esEs(xv300, xv400, fb) 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_primPlusNat(Succ(xv2800), Succ(xv400000)) -> new_primPlusNat(xv2800, xv400000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xv2800), Succ(xv400000)) -> new_primPlusNat(xv2800, xv400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES