H-Termination proof of /home/matraf/haskell/eval_FullyBlown

YES 1.541 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule Main

(((==) :: (Eq a, Eq b) => (a,b) -> (a,b) -> Bool) :: (Eq a, Eq b) => (a,b) -> (a,b) -> Bool)

module Main where

import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule Main

(((==) :: (Eq b, Eq a) => (b,a) -> (b,a) -> Bool) :: (Eq a, Eq b) => (b,a) -> (b,a) -> Bool)

module Main where

import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

mainModule Main

((==) :: (Eq b, Eq a) => (a,b) -> (a,b) -> Bool)

module Main where

import qualified Prelude

Haskell To QDPs

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888[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];268 -> 888[label="",style="solid", color="burlywood", weight=9];
888 -> 323[label="",style="solid", color="burlywood", weight=3];
269[label="Nothing == xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];889[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];269 -> 889[label="",style="solid", color="burlywood", weight=9];
889 -> 324[label="",style="solid", color="burlywood", weight=3];
890[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];269 -> 890[label="",style="solid", color="burlywood", weight=9];
890 -> 325[label="",style="solid", color="burlywood", weight=3];
270[label="Just xv300 == xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];891[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];270 -> 891[label="",style="solid", color="burlywood", weight=9];
891 -> 326[label="",style="solid", color="burlywood", weight=3];
892[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];270 -> 892[label="",style="solid", color="burlywood", weight=9];
892 -> 327[label="",style="solid", color="burlywood", weight=3];
271[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];893[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];271 -> 893[label="",style="solid", color="burlywood", weight=9];
893 -> 328[label="",style="solid", color="burlywood", weight=3];
272[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];894[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];272 -> 894[label="",style="solid", color="burlywood", weight=9];
894 -> 329[label="",style="solid", color="burlywood", weight=3];
895[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];272 -> 895[label="",style="solid", color="burlywood", weight=9];
895 -> 330[label="",style="solid", color="burlywood", weight=3];
896[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];272 -> 896[label="",style="solid", color="burlywood", weight=9];
896 -> 331[label="",style="solid", color="burlywood", weight=3];
273[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];897[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];273 -> 897[label="",style="solid", color="burlywood", weight=9];
897 -> 332[label="",style="solid", color="burlywood", weight=3];
898[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];273 -> 898[label="",style="solid", color="burlywood", weight=9];
898 -> 333[label="",style="solid", color="burlywood", weight=3];
899[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];273 -> 899[label="",style="solid", color="burlywood", weight=9];
899 -> 334[label="",style="solid", color="burlywood", weight=3];
274[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];900[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];274 -> 900[label="",style="solid", color="burlywood", weight=9];
900 -> 335[label="",style="solid", color="burlywood", weight=3];
901[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];274 -> 901[label="",style="solid", color="burlywood", weight=9];
901 -> 336[label="",style="solid", color="burlywood", weight=3];
902[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];274 -> 902[label="",style="solid", color="burlywood", weight=9];
902 -> 337[label="",style="solid", color="burlywood", weight=3];
275[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];903[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];275 -> 903[label="",style="solid", color="burlywood", weight=9];
903 -> 338[label="",style="solid", color="burlywood", weight=3];
904[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];275 -> 904[label="",style="solid", color="burlywood", weight=9];
904 -> 339[label="",style="solid", color="burlywood", weight=3];
276[label="() == xv40",fontsize=16,color="burlywood",shape="box"];905[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];276 -> 905[label="",style="solid", color="burlywood", weight=9];
905 -> 340[label="",style="solid", color="burlywood", weight=3];
277[label="xv31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];278[label="xv41\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];279[label="xv41\n  Integral a",fontsize=16,color="green",shape="box"];280[label="xv31\n  Integral a",fontsize=16,color="green",shape="box"];281[label="xv41",fontsize=16,color="green",shape="box"];282[label="xv31",fontsize=16,color="green",shape="box"];283[label="xv41",fontsize=16,color="green",shape="box"];284[label="xv31",fontsize=16,color="green",shape="box"];285[label="xv41\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];286[label="xv31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];287[label="xv41\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];288[label="xv31\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];289[label="xv41",fontsize=16,color="green",shape="box"];290[label="xv31",fontsize=16,color="green",shape="box"];291[label="xv41",fontsize=16,color="green",shape="box"];292[label="xv31",fontsize=16,color="green",shape="box"];293[label="xv41\n  Eq a",fontsize=16,color="green",shape="box"];294[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];295[label="xv41\n  Eq a",fontsize=16,color="green",shape="box"];296[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];297[label="xv41",fontsize=16,color="green",shape="box"];298[label="xv31",fontsize=16,color="green",shape="box"];299[label="xv41",fontsize=16,color="green",shape="box"];300[label="xv31",fontsize=16,color="green",shape="box"];301[label="xv41",fontsize=16,color="green",shape="box"];302[label="xv31",fontsize=16,color="green",shape="box"];303[label="xv41",fontsize=16,color="green",shape="box"];304[label="xv31",fontsize=16,color="green",shape="box"];305[label="False",fontsize=16,color="green",shape="box"];306[label="xv17",fontsize=16,color="green",shape="box"];307[label="xv300 :% xv301 == xv400 :% xv401\n  Integral a",fontsize=16,color="black",shape="box"];307 -> 341[label="",style="solid", color="black", weight=3];
308[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];906[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];308 -> 906[label="",style="solid", color="burlywood", weight=9];
906 -> 342[label="",style="solid", color="burlywood", weight=3];
309[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];907[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];309 -> 907[label="",style="solid", color="burlywood", weight=9];
907 -> 343[label="",style="solid", color="burlywood", weight=3];
310[label="Left xv300 == Left xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];310 -> 344[label="",style="solid", color="black", weight=3];
311[label="Left xv300 == Right xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];311 -> 345[label="",style="solid", color="black", weight=3];
312[label="Right xv300 == Left xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];312 -> 346[label="",style="solid", color="black", weight=3];
313[label="Right xv300 == Right xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];313 -> 347[label="",style="solid", color="black", weight=3];
314[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];314 -> 348[label="",style="solid", color="black", weight=3];
315[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];908[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];315 -> 908[label="",style="solid", color="burlywood", weight=9];
908 -> 349[label="",style="solid", color="burlywood", weight=3];
316[label="False == False",fontsize=16,color="black",shape="box"];316 -> 350[label="",style="solid", color="black", weight=3];
317[label="False == True",fontsize=16,color="black",shape="box"];317 -> 351[label="",style="solid", color="black", weight=3];
318[label="True == False",fontsize=16,color="black",shape="box"];318 -> 352[label="",style="solid", color="black", weight=3];
319[label="True == True",fontsize=16,color="black",shape="box"];319 -> 353[label="",style="solid", color="black", weight=3];
320[label="xv300 : xv301 == xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];320 -> 354[label="",style="solid", color="black", weight=3];
321[label="xv300 : xv301 == []\n  Eq a",fontsize=16,color="black",shape="box"];321 -> 355[label="",style="solid", color="black", weight=3];
322[label="[] == xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];322 -> 356[label="",style="solid", color="black", weight=3];
323[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];323 -> 357[label="",style="solid", color="black", weight=3];
324[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];324 -> 358[label="",style="solid", color="black", weight=3];
325[label="Nothing == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];325 -> 359[label="",style="solid", color="black", weight=3];
326[label="Just xv300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];326 -> 360[label="",style="solid", color="black", weight=3];
327[label="Just xv300 == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];327 -> 361[label="",style="solid", color="black", weight=3];
328[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];328 -> 362[label="",style="solid", color="black", weight=3];
329[label="LT == LT",fontsize=16,color="black",shape="box"];329 -> 363[label="",style="solid", color="black", weight=3];
330[label="LT == EQ",fontsize=16,color="black",shape="box"];330 -> 364[label="",style="solid", color="black", weight=3];
331[label="LT == GT",fontsize=16,color="black",shape="box"];331 -> 365[label="",style="solid", color="black", weight=3];
332[label="EQ == LT",fontsize=16,color="black",shape="box"];332 -> 366[label="",style="solid", color="black", weight=3];
333[label="EQ == EQ",fontsize=16,color="black",shape="box"];333 -> 367[label="",style="solid", color="black", weight=3];
334[label="EQ == GT",fontsize=16,color="black",shape="box"];334 -> 368[label="",style="solid", color="black", weight=3];
335[label="GT == LT",fontsize=16,color="black",shape="box"];335 -> 369[label="",style="solid", color="black", weight=3];
336[label="GT == EQ",fontsize=16,color="black",shape="box"];336 -> 370[label="",style="solid", color="black", weight=3];
337[label="GT == GT",fontsize=16,color="black",shape="box"];337 -> 371[label="",style="solid", color="black", weight=3];
338[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];909[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];338 -> 909[label="",style="solid", color="burlywood", weight=9];
909 -> 372[label="",style="solid", color="burlywood", weight=3];
910[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];338 -> 910[label="",style="solid", color="burlywood", weight=9];
910 -> 373[label="",style="solid", color="burlywood", weight=3];
339[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];911[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];339 -> 911[label="",style="solid", color="burlywood", weight=9];
911 -> 374[label="",style="solid", color="burlywood", weight=3];
912[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];339 -> 912[label="",style="solid", color="burlywood", weight=9];
912 -> 375[label="",style="solid", color="burlywood", weight=3];
340[label="() == ()",fontsize=16,color="black",shape="box"];340 -> 376[label="",style="solid", color="black", weight=3];
341 -> 221[label="",style="dashed", color="red", weight=0];
341[label="xv300 == xv400 && xv301 == xv401\n  Integral a",fontsize=16,color="magenta"];341 -> 377[label="",style="dashed", color="magenta", weight=3];
341 -> 378[label="",style="dashed", color="magenta", weight=3];
342[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];342 -> 379[label="",style="solid", color="black", weight=3];
343[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];343 -> 380[label="",style="solid", color="black", weight=3];
344[label="xv300 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];914[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 914[label="",style="solid", color="blue", weight=9];
914 -> 381[label="",style="solid", color="blue", weight=3];
915[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 915[label="",style="solid", color="blue", weight=9];
915 -> 382[label="",style="solid", color="blue", weight=3];
916[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 916[label="",style="solid", color="blue", weight=9];
916 -> 383[label="",style="solid", color="blue", weight=3];
917[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 917[label="",style="solid", color="blue", weight=9];
917 -> 384[label="",style="solid", color="blue", weight=3];
918[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 918[label="",style="solid", color="blue", weight=9];
918 -> 385[label="",style="solid", color="blue", weight=3];
919[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 919[label="",style="solid", color="blue", weight=9];
919 -> 386[label="",style="solid", color="blue", weight=3];
920[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 920[label="",style="solid", color="blue", weight=9];
920 -> 387[label="",style="solid", color="blue", weight=3];
921[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 921[label="",style="solid", color="blue", weight=9];
921 -> 388[label="",style="solid", color="blue", weight=3];
922[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 922[label="",style="solid", color="blue", weight=9];
922 -> 389[label="",style="solid", color="blue", weight=3];
923[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 923[label="",style="solid", color="blue", weight=9];
923 -> 390[label="",style="solid", color="blue", weight=3];
924[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 924[label="",style="solid", color="blue", weight=9];
924 -> 391[label="",style="solid", color="blue", weight=3];
925[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 925[label="",style="solid", color="blue", weight=9];
925 -> 392[label="",style="solid", color="blue", weight=3];
926[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 926[label="",style="solid", color="blue", weight=9];
926 -> 393[label="",style="solid", color="blue", weight=3];
927[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];344 -> 927[label="",style="solid", color="blue", weight=9];
927 -> 394[label="",style="solid", color="blue", weight=3];
345[label="False",fontsize=16,color="green",shape="box"];346[label="False",fontsize=16,color="green",shape="box"];347[label="xv300 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];928[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 928[label="",style="solid", color="blue", weight=9];
928 -> 395[label="",style="solid", color="blue", weight=3];
929[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 929[label="",style="solid", color="blue", weight=9];
929 -> 396[label="",style="solid", color="blue", weight=3];
930[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 930[label="",style="solid", color="blue", weight=9];
930 -> 397[label="",style="solid", color="blue", weight=3];
931[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 931[label="",style="solid", color="blue", weight=9];
931 -> 398[label="",style="solid", color="blue", weight=3];
932[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 932[label="",style="solid", color="blue", weight=9];
932 -> 399[label="",style="solid", color="blue", weight=3];
933[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 933[label="",style="solid", color="blue", weight=9];
933 -> 400[label="",style="solid", color="blue", weight=3];
934[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 934[label="",style="solid", color="blue", weight=9];
934 -> 401[label="",style="solid", color="blue", weight=3];
935[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 935[label="",style="solid", color="blue", weight=9];
935 -> 402[label="",style="solid", color="blue", weight=3];
936[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 936[label="",style="solid", color="blue", weight=9];
936 -> 403[label="",style="solid", color="blue", weight=3];
937[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 937[label="",style="solid", color="blue", weight=9];
937 -> 404[label="",style="solid", color="blue", weight=3];
938[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 938[label="",style="solid", color="blue", weight=9];
938 -> 405[label="",style="solid", color="blue", weight=3];
939[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 939[label="",style="solid", color="blue", weight=9];
939 -> 406[label="",style="solid", color="blue", weight=3];
940[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 940[label="",style="solid", color="blue", weight=9];
940 -> 407[label="",style="solid", color="blue", weight=3];
941[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];347 -> 941[label="",style="solid", color="blue", weight=9];
941 -> 408[label="",style="solid", color="blue", weight=3];
348 -> 221[label="",style="dashed", color="red", weight=0];
348[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];348 -> 409[label="",style="dashed", color="magenta", weight=3];
348 -> 410[label="",style="dashed", color="magenta", weight=3];
349[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];349 -> 411[label="",style="solid", color="black", weight=3];
350[label="True",fontsize=16,color="green",shape="box"];351[label="False",fontsize=16,color="green",shape="box"];352[label="False",fontsize=16,color="green",shape="box"];353[label="True",fontsize=16,color="green",shape="box"];354 -> 221[label="",style="dashed", color="red", weight=0];
354[label="xv300 == xv400 && xv301 == xv401\n  Eq a",fontsize=16,color="magenta"];354 -> 412[label="",style="dashed", color="magenta", weight=3];
354 -> 413[label="",style="dashed", color="magenta", weight=3];
355[label="False",fontsize=16,color="green",shape="box"];356[label="False",fontsize=16,color="green",shape="box"];357[label="True",fontsize=16,color="green",shape="box"];358[label="True",fontsize=16,color="green",shape="box"];359[label="False",fontsize=16,color="green",shape="box"];360[label="False",fontsize=16,color="green",shape="box"];361[label="xv300 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];944[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 944[label="",style="solid", color="blue", weight=9];
944 -> 414[label="",style="solid", color="blue", weight=3];
945[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 945[label="",style="solid", color="blue", weight=9];
945 -> 415[label="",style="solid", color="blue", weight=3];
946[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 946[label="",style="solid", color="blue", weight=9];
946 -> 416[label="",style="solid", color="blue", weight=3];
947[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 947[label="",style="solid", color="blue", weight=9];
947 -> 417[label="",style="solid", color="blue", weight=3];
948[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 948[label="",style="solid", color="blue", weight=9];
948 -> 418[label="",style="solid", color="blue", weight=3];
949[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 949[label="",style="solid", color="blue", weight=9];
949 -> 419[label="",style="solid", color="blue", weight=3];
950[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 950[label="",style="solid", color="blue", weight=9];
950 -> 420[label="",style="solid", color="blue", weight=3];
951[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 951[label="",style="solid", color="blue", weight=9];
951 -> 421[label="",style="solid", color="blue", weight=3];
952[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];361 -> 952[label="",style="solid", color="blue", weight=9];
952 -> 422[label="",style="solid", color="blue", weight=3];
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525 -> 664[label="",style="dashed", color="magenta", weight=3];
526 -> 232[label="",style="dashed", color="red", weight=0];
526[label="xv300 == xv400",fontsize=16,color="magenta"];526 -> 665[label="",style="dashed", color="magenta", weight=3];
526 -> 666[label="",style="dashed", color="magenta", weight=3];
527 -> 233[label="",style="dashed", color="red", weight=0];
527[label="xv300 == xv400",fontsize=16,color="magenta"];527 -> 667[label="",style="dashed", color="magenta", weight=3];
527 -> 668[label="",style="dashed", color="magenta", weight=3];
528 -> 234[label="",style="dashed", color="red", weight=0];
528[label="xv300 == xv400\n  Eq a",fontsize=16,color="magenta"];528 -> 669[label="",style="dashed", color="magenta", weight=3];
528 -> 670[label="",style="dashed", color="magenta", weight=3];
529 -> 235[label="",style="dashed", color="red", weight=0];
529[label="xv300 == xv400\n  Eq a",fontsize=16,color="magenta"];529 -> 671[label="",style="dashed", color="magenta", weight=3];
529 -> 672[label="",style="dashed", color="magenta", weight=3];
530 -> 236[label="",style="dashed", color="red", weight=0];
530[label="xv300 == xv400",fontsize=16,color="magenta"];530 -> 673[label="",style="dashed", color="magenta", weight=3];
530 -> 674[label="",style="dashed", color="magenta", weight=3];
531 -> 237[label="",style="dashed", color="red", weight=0];
531[label="xv300 == xv400",fontsize=16,color="magenta"];531 -> 675[label="",style="dashed", color="magenta", weight=3];
531 -> 676[label="",style="dashed", color="magenta", weight=3];
532 -> 238[label="",style="dashed", color="red", weight=0];
532[label="xv300 == xv400",fontsize=16,color="magenta"];532 -> 677[label="",style="dashed", color="magenta", weight=3];
532 -> 678[label="",style="dashed", color="magenta", weight=3];
533 -> 239[label="",style="dashed", color="red", weight=0];
533[label="xv300 == xv400",fontsize=16,color="magenta"];533 -> 679[label="",style="dashed", color="magenta", weight=3];
533 -> 680[label="",style="dashed", color="magenta", weight=3];
534[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];535[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];536[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];537[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];538[label="xv400\n  Integral a",fontsize=16,color="green",shape="box"];539[label="xv300\n  Integral a",fontsize=16,color="green",shape="box"];540[label="xv400",fontsize=16,color="green",shape="box"];541[label="xv300",fontsize=16,color="green",shape="box"];542[label="xv400",fontsize=16,color="green",shape="box"];543[label="xv300",fontsize=16,color="green",shape="box"];544[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];545[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];546[label="xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];547[label="xv300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];548[label="xv400",fontsize=16,color="green",shape="box"];549[label="xv300",fontsize=16,color="green",shape="box"];550[label="xv400",fontsize=16,color="green",shape="box"];551[label="xv300",fontsize=16,color="green",shape="box"];552[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];553[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];554[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];555[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];556[label="xv400",fontsize=16,color="green",shape="box"];557[label="xv300",fontsize=16,color="green",shape="box"];558[label="xv400",fontsize=16,color="green",shape="box"];559[label="xv300",fontsize=16,color="green",shape="box"];560[label="xv400",fontsize=16,color="green",shape="box"];561[label="xv300",fontsize=16,color="green",shape="box"];562[label="xv400",fontsize=16,color="green",shape="box"];563[label="xv300",fontsize=16,color="green",shape="box"];564[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];564 -> 681[label="",style="solid", color="black", weight=3];
565[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];565 -> 682[label="",style="solid", color="black", weight=3];
566[label="False",fontsize=16,color="green",shape="box"];567[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];567 -> 683[label="",style="solid", color="black", weight=3];
568[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];568 -> 684[label="",style="solid", color="black", weight=3];
569[label="primEqInt (Pos Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];569 -> 685[label="",style="solid", color="black", weight=3];
570[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];570 -> 686[label="",style="solid", color="black", weight=3];
571[label="False",fontsize=16,color="green",shape="box"];572[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];572 -> 687[label="",style="solid", color="black", weight=3];
573[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];573 -> 688[label="",style="solid", color="black", weight=3];
574[label="primEqInt (Neg Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];574 -> 689[label="",style="solid", color="black", weight=3];
575[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];575 -> 690[label="",style="solid", color="black", weight=3];
576[label="primEqInt (Neg Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];576 -> 691[label="",style="solid", color="black", weight=3];
577[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];577 -> 692[label="",style="solid", color="black", 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="xv401",fontsize=16,color="green",shape="box"];583[label="xv301",fontsize=16,color="green",shape="box"];584[label="xv401",fontsize=16,color="green",shape="box"];585[label="xv301",fontsize=16,color="green",shape="box"];586[label="primMulInt xv301 xv401",fontsize=16,color="burlywood",shape="box"];1126[label="xv301/Pos xv3010",fontsize=10,color="white",style="solid",shape="box"];586 -> 1126[label="",style="solid", color="burlywood", weight=9];
1126 -> 693[label="",style="solid", color="burlywood", weight=3];
1127[label="xv301/Neg xv3010",fontsize=10,color="white",style="solid",shape="box"];586 -> 1127[label="",style="solid", color="burlywood", weight=9];
1127 -> 694[label="",style="solid", color="burlywood", weight=3];
587[label="xv400",fontsize=16,color="green",shape="box"];588[label="xv300",fontsize=16,color="green",shape="box"];589[label="primEqNat (Succ xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];589 -> 695[label="",style="solid", color="black", weight=3];
590[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];590 -> 696[label="",style="solid", color="black", weight=3];
591[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];591 -> 697[label="",style="solid", color="black", weight=3];
592[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];592 -> 698[label="",style="solid", color="black", weight=3];
593[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];594[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];595[label="xv400\n  Integral a",fontsize=16,color="green",shape="box"];596[label="xv300\n  Integral a",fontsize=16,color="green",shape="box"];597[label="xv400",fontsize=16,color="green",shape="box"];598[label="xv300",fontsize=16,color="green",shape="box"];599[label="xv400",fontsize=16,color="green",shape="box"];600[label="xv300",fontsize=16,color="green",shape="box"];601[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];602[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];603[label="xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];604[label="xv300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];605[label="xv400",fontsize=16,color="green",shape="box"];606[label="xv300",fontsize=16,color="green",shape="box"];607[label="xv400",fontsize=16,color="green",shape="box"];608[label="xv300",fontsize=16,color="green",shape="box"];609[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];610[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];611[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];612[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];613[label="xv400",fontsize=16,color="green",shape="box"];614[label="xv300",fontsize=16,color="green",shape="box"];615[label="xv400",fontsize=16,color="green",shape="box"];616[label="xv300",fontsize=16,color="green",shape="box"];617[label="xv400",fontsize=16,color="green",shape="box"];618[label="xv300",fontsize=16,color="green",shape="box"];619[label="xv400",fontsize=16,color="green",shape="box"];620[label="xv300",fontsize=16,color="green",shape="box"];621 -> 4[label="",style="dashed", color="red", weight=0];
621[label="xv301 == xv401\n  Eq a  Eq b",fontsize=16,color="magenta"];621 -> 699[label="",style="dashed", color="magenta", weight=3];
621 -> 700[label="",style="dashed", color="magenta", weight=3];
622 -> 227[label="",style="dashed", color="red", weight=0];
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622 -> 702[label="",style="dashed", color="magenta", weight=3];
623 -> 228[label="",style="dashed", color="red", weight=0];
623[label="xv301 == xv401",fontsize=16,color="magenta"];623 -> 703[label="",style="dashed", color="magenta", weight=3];
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624 -> 229[label="",style="dashed", color="red", weight=0];
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624 -> 706[label="",style="dashed", color="magenta", weight=3];
625 -> 230[label="",style="dashed", color="red", weight=0];
625[label="xv301 == xv401\n  Eq a  Eq b",fontsize=16,color="magenta"];625 -> 707[label="",style="dashed", color="magenta", weight=3];
625 -> 708[label="",style="dashed", color="magenta", weight=3];
626 -> 231[label="",style="dashed", color="red", weight=0];
626[label="xv301 == xv401\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];626 -> 709[label="",style="dashed", color="magenta", weight=3];
626 -> 710[label="",style="dashed", color="magenta", weight=3];
627 -> 232[label="",style="dashed", color="red", weight=0];
627[label="xv301 == xv401",fontsize=16,color="magenta"];627 -> 711[label="",style="dashed", color="magenta", weight=3];
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628 -> 233[label="",style="dashed", color="red", weight=0];
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628 -> 714[label="",style="dashed", color="magenta", weight=3];
629 -> 234[label="",style="dashed", color="red", weight=0];
629[label="xv301 == xv401\n  Eq a",fontsize=16,color="magenta"];629 -> 715[label="",style="dashed", color="magenta", weight=3];
629 -> 716[label="",style="dashed", color="magenta", weight=3];
630 -> 235[label="",style="dashed", color="red", weight=0];
630[label="xv301 == xv401\n  Eq a",fontsize=16,color="magenta"];630 -> 717[label="",style="dashed", color="magenta", weight=3];
630 -> 718[label="",style="dashed", color="magenta", weight=3];
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632[label="xv301 == xv401",fontsize=16,color="magenta"];632 -> 721[label="",style="dashed", color="magenta", weight=3];
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633 -> 238[label="",style="dashed", color="red", weight=0];
633[label="xv301 == xv401",fontsize=16,color="magenta"];633 -> 723[label="",style="dashed", color="magenta", weight=3];
633 -> 724[label="",style="dashed", color="magenta", weight=3];
634 -> 239[label="",style="dashed", color="red", weight=0];
634[label="xv301 == xv401",fontsize=16,color="magenta"];634 -> 725[label="",style="dashed", color="magenta", weight=3];
634 -> 726[label="",style="dashed", color="magenta", weight=3];
635 -> 4[label="",style="dashed", color="red", weight=0];
635[label="xv302 == xv402\n  Eq a  Eq b",fontsize=16,color="magenta"];635 -> 727[label="",style="dashed", color="magenta", weight=3];
635 -> 728[label="",style="dashed", color="magenta", weight=3];
636 -> 227[label="",style="dashed", color="red", weight=0];
636[label="xv302 == xv402\n  Integral a",fontsize=16,color="magenta"];636 -> 729[label="",style="dashed", color="magenta", weight=3];
636 -> 730[label="",style="dashed", color="magenta", weight=3];
637 -> 228[label="",style="dashed", color="red", weight=0];
637[label="xv302 == xv402",fontsize=16,color="magenta"];637 -> 731[label="",style="dashed", color="magenta", weight=3];
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638 -> 229[label="",style="dashed", color="red", weight=0];
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639 -> 230[label="",style="dashed", color="red", weight=0];
639[label="xv302 == xv402\n  Eq a  Eq b",fontsize=16,color="magenta"];639 -> 735[label="",style="dashed", color="magenta", weight=3];
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640 -> 231[label="",style="dashed", color="red", weight=0];
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642 -> 742[label="",style="dashed", color="magenta", weight=3];
643 -> 234[label="",style="dashed", color="red", weight=0];
643[label="xv302 == xv402\n  Eq a",fontsize=16,color="magenta"];643 -> 743[label="",style="dashed", color="magenta", weight=3];
643 -> 744[label="",style="dashed", color="magenta", weight=3];
644 -> 235[label="",style="dashed", color="red", weight=0];
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645 -> 236[label="",style="dashed", color="red", weight=0];
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648 -> 754[label="",style="dashed", color="magenta", weight=3];
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695[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];695 -> 763[label="",style="dashed", color="magenta", weight=3];
695 -> 764[label="",style="dashed", color="magenta", weight=3];
696[label="False",fontsize=16,color="green",shape="box"];697[label="False",fontsize=16,color="green",shape="box"];698[label="True",fontsize=16,color="green",shape="box"];699[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];700[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];701[label="xv401\n  Integral a",fontsize=16,color="green",shape="box"];702[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];703[label="xv401",fontsize=16,color="green",shape="box"];704[label="xv301",fontsize=16,color="green",shape="box"];705[label="xv401",fontsize=16,color="green",shape="box"];706[label="xv301",fontsize=16,color="green",shape="box"];707[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];708[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];709[label="xv401\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];710[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];711[label="xv401",fontsize=16,color="green",shape="box"];712[label="xv301",fontsize=16,color="green",shape="box"];713[label="xv401",fontsize=16,color="green",shape="box"];714[label="xv301",fontsize=16,color="green",shape="box"];715[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];716[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];717[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];718[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];719[label="xv401",fontsize=16,color="green",shape="box"];720[label="xv301",fontsize=16,color="green",shape="box"];721[label="xv401",fontsize=16,color="green",shape="box"];722[label="xv301",fontsize=16,color="green",shape="box"];723[label="xv401",fontsize=16,color="green",shape="box"];724[label="xv301",fontsize=16,color="green",shape="box"];725[label="xv401",fontsize=16,color="green",shape="box"];726[label="xv301",fontsize=16,color="green",shape="box"];727[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];728[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];729[label="xv402\n  Integral a",fontsize=16,color="green",shape="box"];730[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];731[label="xv402",fontsize=16,color="green",shape="box"];732[label="xv302",fontsize=16,color="green",shape="box"];733[label="xv402",fontsize=16,color="green",shape="box"];734[label="xv302",fontsize=16,color="green",shape="box"];735[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];736[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];737[label="xv402\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];738[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];739[label="xv402",fontsize=16,color="green",shape="box"];740[label="xv302",fontsize=16,color="green",shape="box"];741[label="xv402",fontsize=16,color="green",shape="box"];742[label="xv302",fontsize=16,color="green",shape="box"];743[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];744[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];745[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];746[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];747[label="xv402",fontsize=16,color="green",shape="box"];748[label="xv302",fontsize=16,color="green",shape="box"];749[label="xv402",fontsize=16,color="green",shape="box"];750[label="xv302",fontsize=16,color="green",shape="box"];751[label="xv402",fontsize=16,color="green",shape="box"];752[label="xv302",fontsize=16,color="green",shape="box"];753[label="xv402",fontsize=16,color="green",shape="box"];754[label="xv302",fontsize=16,color="green",shape="box"];755[label="xv4000",fontsize=16,color="green",shape="box"];756[label="xv3000",fontsize=16,color="green",shape="box"];757[label="xv4000",fontsize=16,color="green",shape="box"];758[label="xv3000",fontsize=16,color="green",shape="box"];759[label="primMulInt (Pos xv3010) (Pos xv4010)",fontsize=16,color="black",shape="box"];759 -> 765[label="",style="solid", color="black", weight=3];
760[label="primMulInt (Pos xv3010) (Neg xv4010)",fontsize=16,color="black",shape="box"];760 -> 766[label="",style="solid", color="black", weight=3];
761[label="primMulInt (Neg xv3010) (Pos xv4010)",fontsize=16,color="black",shape="box"];761 -> 767[label="",style="solid", color="black", weight=3];
762[label="primMulInt (Neg xv3010) (Neg xv4010)",fontsize=16,color="black",shape="box"];762 -> 768[label="",style="solid", color="black", weight=3];
763[label="xv4000",fontsize=16,color="green",shape="box"];764[label="xv3000",fontsize=16,color="green",shape="box"];765[label="Pos (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];765 -> 769[label="",style="dashed", color="green", weight=3];
766[label="Neg (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];766 -> 770[label="",style="dashed", color="green", weight=3];
767[label="Neg (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];767 -> 771[label="",style="dashed", color="green", weight=3];
768[label="Pos (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];768 -> 772[label="",style="dashed", color="green", weight=3];
769[label="primMulNat xv3010 xv4010",fontsize=16,color="burlywood",shape="triangle"];1163[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];769 -> 1163[label="",style="solid", color="burlywood", weight=9];
1163 -> 773[label="",style="solid", color="burlywood", weight=3];
1164[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];769 -> 1164[label="",style="solid", color="burlywood", weight=9];
1164 -> 774[label="",style="solid", color="burlywood", weight=3];
770 -> 769[label="",style="dashed", color="red", weight=0];
770[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];770 -> 775[label="",style="dashed", color="magenta", weight=3];
771 -> 769[label="",style="dashed", color="red", weight=0];
771[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];771 -> 776[label="",style="dashed", color="magenta", weight=3];
772 -> 769[label="",style="dashed", color="red", weight=0];
772[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];772 -> 777[label="",style="dashed", color="magenta", weight=3];
772 -> 778[label="",style="dashed", color="magenta", weight=3];
773[label="primMulNat (Succ xv30100) xv4010",fontsize=16,color="burlywood",shape="box"];1168[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];773 -> 1168[label="",style="solid", color="burlywood", weight=9];
1168 -> 779[label="",style="solid", color="burlywood", weight=3];
1169[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];773 -> 1169[label="",style="solid", color="burlywood", weight=9];
1169 -> 780[label="",style="solid", color="burlywood", weight=3];
774[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];1170[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];774 -> 1170[label="",style="solid", color="burlywood", weight=9];
1170 -> 781[label="",style="solid", color="burlywood", weight=3];
1171[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];774 -> 1171[label="",style="solid", color="burlywood", weight=9];
1171 -> 782[label="",style="solid", color="burlywood", weight=3];
775[label="xv4010",fontsize=16,color="green",shape="box"];776[label="xv3010",fontsize=16,color="green",shape="box"];777[label="xv4010",fontsize=16,color="green",shape="box"];778[label="xv3010",fontsize=16,color="green",shape="box"];779[label="primMulNat (Succ xv30100) (Succ xv40100)",fontsize=16,color="black",shape="box"];779 -> 783[label="",style="solid", color="black", weight=3];
780[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];780 -> 784[label="",style="solid", color="black", weight=3];
781[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];781 -> 785[label="",style="solid", color="black", weight=3];
782[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];782 -> 786[label="",style="solid", color="black", weight=3];
783 -> 787[label="",style="dashed", color="red", weight=0];
783[label="primPlusNat (primMulNat xv30100 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];783 -> 788[label="",style="dashed", color="magenta", weight=3];
784[label="Zero",fontsize=16,color="green",shape="box"];785[label="Zero",fontsize=16,color="green",shape="box"];786[label="Zero",fontsize=16,color="green",shape="box"];788 -> 769[label="",style="dashed", color="red", weight=0];
788[label="primMulNat xv30100 (Succ xv40100)",fontsize=16,color="magenta"];788 -> 789[label="",style="dashed", color="magenta", weight=3];
788 -> 790[label="",style="dashed", color="magenta", weight=3];
787[label="primPlusNat xv18 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];1174[label="xv18/Succ xv180",fontsize=10,color="white",style="solid",shape="box"];787 -> 1174[label="",style="solid", color="burlywood", weight=9];
1174 -> 791[label="",style="solid", color="burlywood", weight=3];
1175[label="xv18/Zero",fontsize=10,color="white",style="solid",shape="box"];787 -> 1175[label="",style="solid", color="burlywood", weight=9];
1175 -> 792[label="",style="solid", color="burlywood", weight=3];
789[label="Succ xv40100",fontsize=16,color="green",shape="box"];790[label="xv30100",fontsize=16,color="green",shape="box"];791[label="primPlusNat (Succ xv180) (Succ xv40100)",fontsize=16,color="black",shape="box"];791 -> 793[label="",style="solid", color="black", weight=3];
792[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];792 -> 794[label="",style="solid", color="black", weight=3];
793[label="Succ (Succ (primPlusNat xv180 xv40100))",fontsize=16,color="green",shape="box"];793 -> 795[label="",style="dashed", color="green", weight=3];
794[label="Succ xv40100",fontsize=16,color="green",shape="box"];795[label="primPlusNat xv180 xv40100",fontsize=16,color="burlywood",shape="triangle"];1176[label="xv180/Succ xv1800",fontsize=10,color="white",style="solid",shape="box"];795 -> 1176[label="",style="solid", color="burlywood", weight=9];
1176 -> 796[label="",style="solid", color="burlywood", weight=3];
1177[label="xv180/Zero",fontsize=10,color="white",style="solid",shape="box"];795 -> 1177[label="",style="solid", color="burlywood", weight=9];
1177 -> 797[label="",style="solid", color="burlywood", weight=3];
796[label="primPlusNat (Succ xv1800) xv40100",fontsize=16,color="burlywood",shape="box"];1178[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];796 -> 1178[label="",style="solid", color="burlywood", weight=9];
1178 -> 798[label="",style="solid", color="burlywood", weight=3];
1179[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];796 -> 1179[label="",style="solid", color="burlywood", weight=9];
1179 -> 799[label="",style="solid", color="burlywood", weight=3];
797[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];1180[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];797 -> 1180[label="",style="solid", color="burlywood", weight=9];
1180 -> 800[label="",style="solid", color="burlywood", weight=3];
1181[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];797 -> 1181[label="",style="solid", color="burlywood", weight=9];
1181 -> 801[label="",style="solid", color="burlywood", weight=3];
798[label="primPlusNat (Succ xv1800) (Succ xv401000)",fontsize=16,color="black",shape="box"];798 -> 802[label="",style="solid", color="black", weight=3];
799[label="primPlusNat (Succ xv1800) Zero",fontsize=16,color="black",shape="box"];799 -> 803[label="",style="solid", color="black", weight=3];
800[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];800 -> 804[label="",style="solid", color="black", weight=3];
801[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];801 -> 805[label="",style="solid", color="black", weight=3];
802[label="Succ (Succ (primPlusNat xv1800 xv401000))",fontsize=16,color="green",shape="box"];802 -> 806[label="",style="dashed", color="green", weight=3];
803[label="Succ xv1800",fontsize=16,color="green",shape="box"];804[label="Succ xv401000",fontsize=16,color="green",shape="box"];805[label="Zero",fontsize=16,color="green",shape="box"];806 -> 795[label="",style="dashed", color="red", weight=0];
806[label="primPlusNat xv1800 xv401000",fontsize=16,color="magenta"];806 -> 807[label="",style="dashed", color="magenta", weight=3];
806 -> 808[label="",style="dashed", color="magenta", weight=3];
807[label="xv1800",fontsize=16,color="green",shape="box"];808[label="xv401000",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primPlusNat(Succ(xv1800), Succ(xv401000)) → new_primPlusNat(xv1800, xv401000)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] 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(xv1800), Succ(xv401000)) → new_primPlusNat(xv1800, xv401000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primMulNat(Succ(xv30100), Succ(xv40100)) → new_primMulNat(xv30100, Succ(xv40100))

From the DPs we obtained the following set of size-change graphs:

new_primMulNat(Succ(xv30100), Succ(xv40100)) → new_primMulNat(xv30100, Succ(xv40100))
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primEqNat(Succ(xv3000), Succ(xv4000)) → new_primEqNat(xv3000, xv4000)

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

Q DP problem:
The TRS P consists of the following rules:

new_esEs(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, ba), bb), bc) → new_esEs(xv30, xv40, ba, bb)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(app(app(ty_@3, gb), gc), gd)), ed), bc) → new_esEs1(xv301, xv401, gb, gc, gd)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, bg), bh)), bf), bc) → new_esEs0(xv300, xv400, bg, bh)
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(ty_[], bdc)) → new_esEs2(xv31, xv41, bdc)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(app(app(ty_@3, gb), gc), gd), ed) → new_esEs1(xv301, xv401, gb, gc, gd)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bbf), bbg), bbh)), bc) → new_esEs1(xv300, xv400, bbf, bbg, bbh)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, ce)), bf), bc) → new_esEs3(xv300, xv400, ce)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], fb)), ec), ed), bc) → new_esEs2(xv300, xv400, fb)
new_esEs3(Just(xv300), Just(xv400), app(app(ty_Either, bbd), bbe)) → new_esEs0(xv300, xv400, bbd, bbe)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, ea), eb)), ec), ed), bc) → new_esEs(xv300, xv400, ea, eb)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(app(app(ty_@3, hc), hd), he)) → new_esEs1(xv302, xv402, hc, hd, he)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, eg), eh), fa)), ec), ed), bc) → new_esEs1(xv300, xv400, eg, eh, fa)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, ca), cb), cc)), bf), bc) → new_esEs1(xv300, xv400, ca, cb, cc)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(ty_[], ge)), ed), bc) → new_esEs2(xv301, xv401, ge)
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(ty_Either, bcf), bcg)) → new_esEs0(xv31, xv41, bcf, bcg)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(app(app(ty_@3, dd), de), df)), bc) → new_esEs1(xv300, xv400, dd, de, df)
new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, bd), be), bf) → new_esEs(xv300, xv400, bd, be)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bbb), bbc)), bc) → new_esEs(xv300, xv400, bbb, bbc)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, bbd), bbe)), bc) → new_esEs0(xv300, xv400, bbd, bbe)
new_esEs0(Right(xv300), Right(xv400), cf, app(ty_[], dg)) → new_esEs2(xv300, xv400, dg)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(app(ty_@2, gg), gh)) → new_esEs(xv302, xv402, gg, gh)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, bcb)), bc) → new_esEs3(xv300, xv400, bcb)
new_esEs0(Right(xv300), Right(xv400), cf, app(app(ty_Either, db), dc)) → new_esEs0(xv300, xv400, db, dc)
new_esEs3(Just(xv300), Just(xv400), app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs1(xv300, xv400, bbf, bbg, bbh)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(ty_Maybe, gf)), ed), bc) → new_esEs3(xv301, xv401, gf)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ee), ef), ec, ed) → new_esEs0(xv300, xv400, ee, ef)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(ty_[], hf)), bc) → new_esEs2(xv302, xv402, hf)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, fc), ec, ed) → new_esEs3(xv300, xv400, fc)
new_esEs0(Left(xv300), Left(xv400), app(ty_[], cd), bf) → new_esEs2(xv300, xv400, cd)
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_[], bag)) → new_esEs2(xv300, xv400, bag)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(app(ty_@2, cg), da)), bc) → new_esEs(xv300, xv400, cg, da)
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(ty_@2, bcd), bce)) → new_esEs(xv31, xv41, bcd, bce)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], fb), ec, ed) → new_esEs2(xv300, xv400, fb)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_Maybe, bah)), bc) → new_esEs3(xv300, xv400, bah)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(app(ty_Either, ha), hb)), bc) → new_esEs0(xv302, xv402, ha, hb)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, bd), be)), bf), bc) → new_esEs(xv300, xv400, bd, be)
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, bah)) → new_esEs3(xv300, xv400, bah)
new_esEs3(Just(xv300), Just(xv400), app(ty_[], bca)) → new_esEs2(xv300, xv400, bca)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(app(ty_@2, ff), fg)), ed), bc) → new_esEs(xv301, xv401, ff, fg)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(app(ty_@2, ff), fg), ed) → new_esEs(xv301, xv401, ff, fg)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(app(ty_@2, gg), gh)), bc) → new_esEs(xv302, xv402, gg, gh)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(ty_Maybe, gf), ed) → new_esEs3(xv301, xv401, gf)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(ty_Maybe, hg)), bc) → new_esEs3(xv302, xv402, hg)
new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, ce), bf) → new_esEs3(xv300, xv400, ce)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(ty_[], hf)) → new_esEs2(xv302, xv402, hf)
new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, bg), bh), bf) → new_esEs0(xv300, xv400, bg, bh)
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(ty_Maybe, bdd)) → new_esEs3(xv31, xv41, bdd)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_[], cd)), bf), bc) → new_esEs2(xv300, xv400, cd)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, ee), ef)), ec), ed), bc) → new_esEs0(xv300, xv400, ee, ef)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_@2, hh), baa)), bc) → new_esEs(xv300, xv400, hh, baa)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(ty_[], ge), ed) → new_esEs2(xv301, xv401, ge)
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(app(ty_@3, bch), bda), bdb)) → new_esEs1(xv31, xv41, bch, bda, bdb)
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bad), bae), baf)) → new_esEs1(xv300, xv400, bad, bae, baf)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, eg), eh), fa), ec, ed) → new_esEs1(xv300, xv400, eg, eh, fa)
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bab), bac)) → new_esEs0(xv300, xv400, bab, bac)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(ty_Maybe, hg)) → new_esEs3(xv302, xv402, hg)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], bba), bc) → new_esEs2(xv301, xv401, bba)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(app(ty_@3, bad), bae), baf)), bc) → new_esEs1(xv300, xv400, bad, bae, baf)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(ty_Maybe, dh)), bc) → new_esEs3(xv300, xv400, dh)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(app(ty_Either, db), dc)), bc) → new_esEs0(xv300, xv400, db, dc)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(app(ty_Either, fh), ga), ed) → new_esEs0(xv301, xv401, fh, ga)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(app(ty_Either, ha), hb)) → new_esEs0(xv302, xv402, ha, hb)
new_esEs2(:(xv300, xv301), :(xv400, xv401), bba) → new_esEs2(xv301, xv401, bba)
new_esEs3(Just(xv300), Just(xv400), app(ty_Maybe, bcb)) → new_esEs3(xv300, xv400, bcb)
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, hh), baa)) → new_esEs(xv300, xv400, hh, baa)
new_esEs3(Just(xv300), Just(xv400), app(app(ty_@2, bbb), bbc)) → new_esEs(xv300, xv400, bbb, bbc)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, fc)), ec), ed), bc) → new_esEs3(xv300, xv400, fc)
new_esEs0(Right(xv300), Right(xv400), cf, app(ty_Maybe, dh)) → new_esEs3(xv300, xv400, dh)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(app(ty_Either, fh), ga)), ed), bc) → new_esEs0(xv301, xv401, fh, ga)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_[], bca)), bc) → new_esEs2(xv300, xv400, bca)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(ty_[], dg)), bc) → new_esEs2(xv300, xv400, dg)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(app(app(ty_@3, hc), hd), he)), bc) → new_esEs1(xv302, xv402, hc, hd, he)
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, ea), eb), ec, ed) → new_esEs(xv300, xv400, ea, eb)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_[], bag)), bc) → new_esEs2(xv300, xv400, bag)
new_esEs0(Right(xv300), Right(xv400), cf, app(app(ty_@2, cg), da)) → new_esEs(xv300, xv400, cg, da)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_Either, bab), bac)), bc) → new_esEs0(xv300, xv400, bab, bac)
new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, ca), cb), cc), bf) → new_esEs1(xv300, xv400, ca, cb, cc)
new_esEs0(Right(xv300), Right(xv400), cf, app(app(app(ty_@3, dd), de), df)) → new_esEs1(xv300, xv400, dd, de, df)

From the DPs we obtained the following set of size-change graphs:

new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, hh), baa)) → new_esEs(xv300, xv400, hh, baa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(xv300), Just(xv400), app(app(ty_@2, bbb), bbc)) → new_esEs(xv300, xv400, bbb, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bad), bae), baf)) → new_esEs1(xv300, xv400, bad, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(xv300), Just(xv400), app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs1(xv300, xv400, bbf, bbg, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, bah)) → new_esEs3(xv300, xv400, bah)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(xv300), Just(xv400), app(ty_Maybe, bcb)) → new_esEs3(xv300, xv400, bcb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bab), bac)) → new_esEs0(xv300, xv400, bab, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(xv300), Just(xv400), app(app(ty_Either, bbd), bbe)) → new_esEs0(xv300, xv400, bbd, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(xv300), Just(xv400), app(ty_[], bca)) → new_esEs2(xv300, xv400, bca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, ba), bb), bc) → new_esEs(xv30, xv40, ba, bb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, ea), eb)), ec), ed), bc) → new_esEs(xv300, xv400, ea, eb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bbb), bbc)), bc) → new_esEs(xv300, xv400, bbb, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(app(ty_@2, cg), da)), bc) → new_esEs(xv300, xv400, cg, da)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(ty_@2, bcd), bce)) → new_esEs(xv31, xv41, bcd, bce)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, bd), be)), bf), bc) → new_esEs(xv300, xv400, bd, be)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(app(ty_@2, ff), fg)), ed), bc) → new_esEs(xv301, xv401, ff, fg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(app(ty_@2, gg), gh)), bc) → new_esEs(xv302, xv402, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_@2, hh), baa)), bc) → new_esEs(xv300, xv400, hh, baa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(app(app(ty_@3, gb), gc), gd)), ed), bc) → new_esEs1(xv301, xv401, gb, gc, gd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bbf), bbg), bbh)), bc) → new_esEs1(xv300, xv400, bbf, bbg, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, eg), eh), fa)), ec), ed), bc) → new_esEs1(xv300, xv400, eg, eh, fa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, ca), cb), cc)), bf), bc) → new_esEs1(xv300, xv400, ca, cb, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(app(app(ty_@3, dd), de), df)), bc) → new_esEs1(xv300, xv400, dd, de, df)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(app(ty_@3, bch), bda), bdb)) → new_esEs1(xv31, xv41, bch, bda, bdb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(app(ty_@3, bad), bae), baf)), bc) → new_esEs1(xv300, xv400, bad, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(app(app(ty_@3, hc), hd), he)), bc) → new_esEs1(xv302, xv402, hc, hd, he)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, ce)), bf), bc) → new_esEs3(xv300, xv400, ce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, bcb)), bc) → new_esEs3(xv300, xv400, bcb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(ty_Maybe, gf)), ed), bc) → new_esEs3(xv301, xv401, gf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_Maybe, bah)), bc) → new_esEs3(xv300, xv400, bah)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(ty_Maybe, hg)), bc) → new_esEs3(xv302, xv402, hg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(ty_Maybe, bdd)) → new_esEs3(xv31, xv41, bdd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(ty_Maybe, dh)), bc) → new_esEs3(xv300, xv400, dh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, fc)), ec), ed), bc) → new_esEs3(xv300, xv400, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, bg), bh)), bf), bc) → new_esEs0(xv300, xv400, bg, bh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(ty_Either, bcf), bcg)) → new_esEs0(xv31, xv41, bcf, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, bbd), bbe)), bc) → new_esEs0(xv300, xv400, bbd, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(app(ty_Either, ha), hb)), bc) → new_esEs0(xv302, xv402, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, ee), ef)), ec), ed), bc) → new_esEs0(xv300, xv400, ee, ef)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(app(ty_Either, db), dc)), bc) → new_esEs0(xv300, xv400, db, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(app(ty_Either, fh), ga)), ed), bc) → new_esEs0(xv301, xv401, fh, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_Either, bab), bac)), bc) → new_esEs0(xv300, xv400, bab, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xv30, xv31), @2(xv40, xv41), bcc, app(ty_[], bdc)) → new_esEs2(xv31, xv41, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], fb)), ec), ed), bc) → new_esEs2(xv300, xv400, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), app(ty_[], ge)), ed), bc) → new_esEs2(xv301, xv401, ge)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, fd), ec), app(ty_[], hf)), bc) → new_esEs2(xv302, xv402, hf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_[], cd)), bf), bc) → new_esEs2(xv300, xv400, cd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], bba), bc) → new_esEs2(xv301, xv401, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, cf), app(ty_[], dg)), bc) → new_esEs2(xv300, xv400, dg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_[], bca)), bc) → new_esEs2(xv300, xv400, bca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_[], bag)), bc) → new_esEs2(xv300, xv400, bag)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(app(ty_@2, gg), gh)) → new_esEs(xv302, xv402, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(app(ty_@2, ff), fg), ed) → new_esEs(xv301, xv401, ff, fg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, ea), eb), ec, ed) → new_esEs(xv300, xv400, ea, eb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, bd), be), bf) → new_esEs(xv300, xv400, bd, be)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Right(xv300), Right(xv400), cf, app(app(ty_@2, cg), da)) → new_esEs(xv300, xv400, cg, da)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(app(app(ty_@3, gb), gc), gd), ed) → new_esEs1(xv301, xv401, gb, gc, gd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(app(app(ty_@3, hc), hd), he)) → new_esEs1(xv302, xv402, hc, hd, he)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, eg), eh), fa), ec, ed) → new_esEs1(xv300, xv400, eg, eh, fa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, fc), ec, ed) → new_esEs3(xv300, xv400, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(ty_Maybe, gf), ed) → new_esEs3(xv301, xv401, gf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(ty_Maybe, hg)) → new_esEs3(xv302, xv402, hg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ee), ef), ec, ed) → new_esEs0(xv300, xv400, ee, ef)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(app(ty_Either, fh), ga), ed) → new_esEs0(xv301, xv401, fh, ga)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(app(ty_Either, ha), hb)) → new_esEs0(xv302, xv402, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], fb), ec, ed) → new_esEs2(xv300, xv400, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, ec, app(ty_[], hf)) → new_esEs2(xv302, xv402, hf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), fd, app(ty_[], ge), ed) → new_esEs2(xv301, xv401, ge)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, ca), cb), cc), bf) → new_esEs1(xv300, xv400, ca, cb, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(Right(xv300), Right(xv400), cf, app(app(app(ty_@3, dd), de), df)) → new_esEs1(xv300, xv400, dd, de, df)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, ce), bf) → new_esEs3(xv300, xv400, ce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Right(xv300), Right(xv400), cf, app(ty_Maybe, dh)) → new_esEs3(xv300, xv400, dh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(Right(xv300), Right(xv400), cf, app(app(ty_Either, db), dc)) → new_esEs0(xv300, xv400, db, dc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, bg), bh), bf) → new_esEs0(xv300, xv400, bg, bh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Right(xv300), Right(xv400), cf, app(ty_[], dg)) → new_esEs2(xv300, xv400, dg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(Left(xv300), Left(xv400), app(ty_[], cd), bf) → new_esEs2(xv300, xv400, cd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_[], bag)) → new_esEs2(xv300, xv400, bag)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(:(xv300, xv301), :(xv400, xv401), bba) → new_esEs2(xv301, xv401, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3