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

YES 1.5 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 a, Eq b) => (a,b) -> (a,b) -> Bool) :: (Eq b, Eq a) => (a,b) -> (a,b) -> 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 a, Eq b) => (b,a) -> (b,a) -> Bool)

module Main where

import qualified Prelude

Haskell To QDPs

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994 -> 426[label="",style="solid", color="burlywood", weight=3];
367[label="True == xv40",fontsize=16,color="burlywood",shape="box"];995[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];367 -> 995[label="",style="solid", color="burlywood", weight=9];
995 -> 427[label="",style="solid", color="burlywood", weight=3];
996[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];367 -> 996[label="",style="solid", color="burlywood", weight=9];
996 -> 428[label="",style="solid", color="burlywood", weight=3];
368[label="Left xv300 == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];997[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];368 -> 997[label="",style="solid", color="burlywood", weight=9];
997 -> 429[label="",style="solid", color="burlywood", weight=3];
998[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];368 -> 998[label="",style="solid", color="burlywood", weight=9];
998 -> 430[label="",style="solid", color="burlywood", weight=3];
369[label="Right xv300 == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];999[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];369 -> 999[label="",style="solid", color="burlywood", weight=9];
999 -> 431[label="",style="solid", color="burlywood", weight=3];
1000[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];369 -> 1000[label="",style="solid", color="burlywood", weight=9];
1000 -> 432[label="",style="solid", color="burlywood", weight=3];
370[label="xv300 : xv301 == xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];1001[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];370 -> 1001[label="",style="solid", color="burlywood", weight=9];
1001 -> 433[label="",style="solid", color="burlywood", weight=3];
1002[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];370 -> 1002[label="",style="solid", color="burlywood", weight=9];
1002 -> 434[label="",style="solid", color="burlywood", weight=3];
371[label="[] == xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];1003[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];371 -> 1003[label="",style="solid", color="burlywood", weight=9];
1003 -> 435[label="",style="solid", color="burlywood", weight=3];
1004[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];371 -> 1004[label="",style="solid", color="burlywood", weight=9];
1004 -> 436[label="",style="solid", color="burlywood", weight=3];
372[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];1005[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];372 -> 1005[label="",style="solid", color="burlywood", weight=9];
1005 -> 437[label="",style="solid", color="burlywood", weight=3];
373[label="(xv300,xv301,xv302) == xv40\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];1006[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];373 -> 1006[label="",style="solid", color="burlywood", weight=9];
1006 -> 438[label="",style="solid", color="burlywood", weight=3];
374[label="xv300 :% xv301 == xv40\n  Integral a",fontsize=16,color="burlywood",shape="box"];1007[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];374 -> 1007[label="",style="solid", color="burlywood", weight=9];
1007 -> 439[label="",style="solid", color="burlywood", weight=3];
375[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];1008[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];375 -> 1008[label="",style="solid", color="burlywood", weight=9];
1008 -> 440[label="",style="solid", color="burlywood", weight=3];
1009[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];375 -> 1009[label="",style="solid", color="burlywood", weight=9];
1009 -> 441[label="",style="solid", color="burlywood", weight=3];
376[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];1010[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];376 -> 1010[label="",style="solid", color="burlywood", weight=9];
1010 -> 442[label="",style="solid", color="burlywood", weight=3];
377[label="() == xv40",fontsize=16,color="burlywood",shape="box"];1011[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];377 -> 1011[label="",style="solid", color="burlywood", weight=9];
1011 -> 443[label="",style="solid", color="burlywood", weight=3];
378[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];1012[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];378 -> 1012[label="",style="solid", color="burlywood", weight=9];
1012 -> 444[label="",style="solid", color="burlywood", weight=3];
379[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];1013[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];379 -> 1013[label="",style="solid", color="burlywood", weight=9];
1013 -> 445[label="",style="solid", color="burlywood", weight=3];
380[label="xv30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];381[label="xv40\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];382[label="xv31",fontsize=16,color="green",shape="box"];383[label="xv41",fontsize=16,color="green",shape="box"];384[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];385[label="xv41\n  Eq a",fontsize=16,color="green",shape="box"];386[label="xv31",fontsize=16,color="green",shape="box"];387[label="xv41",fontsize=16,color="green",shape="box"];388[label="xv31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];389[label="xv41\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];390[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];391[label="xv41\n  Eq a",fontsize=16,color="green",shape="box"];392[label="xv31",fontsize=16,color="green",shape="box"];393[label="xv41",fontsize=16,color="green",shape="box"];394[label="xv31\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];395[label="xv41\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];396[label="xv31\n  Integral a",fontsize=16,color="green",shape="box"];397[label="xv41\n  Integral a",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="xv41",fontsize=16,color="green",shape="box"];402[label="xv31",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\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];409[label="xv41\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];410[label="False",fontsize=16,color="green",shape="box"];411[label="xv27",fontsize=16,color="green",shape="box"];412[label="LT == LT",fontsize=16,color="black",shape="box"];412 -> 446[label="",style="solid", color="black", weight=3];
413[label="LT == EQ",fontsize=16,color="black",shape="box"];413 -> 447[label="",style="solid", color="black", weight=3];
414[label="LT == GT",fontsize=16,color="black",shape="box"];414 -> 448[label="",style="solid", color="black", weight=3];
415[label="EQ == LT",fontsize=16,color="black",shape="box"];415 -> 449[label="",style="solid", color="black", weight=3];
416[label="EQ == EQ",fontsize=16,color="black",shape="box"];416 -> 450[label="",style="solid", color="black", weight=3];
417[label="EQ == GT",fontsize=16,color="black",shape="box"];417 -> 451[label="",style="solid", color="black", weight=3];
418[label="GT == LT",fontsize=16,color="black",shape="box"];418 -> 452[label="",style="solid", color="black", weight=3];
419[label="GT == EQ",fontsize=16,color="black",shape="box"];419 -> 453[label="",style="solid", color="black", weight=3];
420[label="GT == GT",fontsize=16,color="black",shape="box"];420 -> 454[label="",style="solid", color="black", weight=3];
421[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];421 -> 455[label="",style="solid", color="black", weight=3];
422[label="Nothing == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];422 -> 456[label="",style="solid", color="black", weight=3];
423[label="Just xv300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];423 -> 457[label="",style="solid", color="black", weight=3];
424[label="Just xv300 == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];424 -> 458[label="",style="solid", color="black", weight=3];
425[label="False == False",fontsize=16,color="black",shape="box"];425 -> 459[label="",style="solid", color="black", weight=3];
426[label="False == True",fontsize=16,color="black",shape="box"];426 -> 460[label="",style="solid", color="black", weight=3];
427[label="True == False",fontsize=16,color="black",shape="box"];427 -> 461[label="",style="solid", color="black", weight=3];
428[label="True == True",fontsize=16,color="black",shape="box"];428 -> 462[label="",style="solid", color="black", weight=3];
429[label="Left xv300 == Left xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];429 -> 463[label="",style="solid", color="black", weight=3];
430[label="Left xv300 == Right xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];430 -> 464[label="",style="solid", color="black", weight=3];
431[label="Right xv300 == Left xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];431 -> 465[label="",style="solid", color="black", weight=3];
432[label="Right xv300 == Right xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];432 -> 466[label="",style="solid", color="black", weight=3];
433[label="xv300 : xv301 == xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];433 -> 467[label="",style="solid", color="black", weight=3];
434[label="xv300 : xv301 == []\n  Eq a",fontsize=16,color="black",shape="box"];434 -> 468[label="",style="solid", color="black", weight=3];
435[label="[] == xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];435 -> 469[label="",style="solid", color="black", weight=3];
436[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];436 -> 470[label="",style="solid", color="black", weight=3];
437[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];1014[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];437 -> 1014[label="",style="solid", color="burlywood", weight=9];
1014 -> 471[label="",style="solid", color="burlywood", weight=3];
438[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];438 -> 472[label="",style="solid", color="black", weight=3];
439[label="xv300 :% xv301 == xv400 :% xv401\n  Integral a",fontsize=16,color="black",shape="box"];439 -> 473[label="",style="solid", color="black", weight=3];
440[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];1015[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];440 -> 1015[label="",style="solid", color="burlywood", weight=9];
1015 -> 474[label="",style="solid", color="burlywood", weight=3];
1016[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];440 -> 1016[label="",style="solid", color="burlywood", weight=9];
1016 -> 475[label="",style="solid", color="burlywood", weight=3];
441[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];1017[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];441 -> 1017[label="",style="solid", color="burlywood", weight=9];
1017 -> 476[label="",style="solid", color="burlywood", weight=3];
1018[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];441 -> 1018[label="",style="solid", color="burlywood", weight=9];
1018 -> 477[label="",style="solid", color="burlywood", weight=3];
442[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];1019[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];442 -> 1019[label="",style="solid", color="burlywood", weight=9];
1019 -> 478[label="",style="solid", color="burlywood", weight=3];
443[label="() == ()",fontsize=16,color="black",shape="box"];443 -> 479[label="",style="solid", color="black", weight=3];
444[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];444 -> 480[label="",style="solid", color="black", weight=3];
445[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];1020[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];445 -> 1020[label="",style="solid", color="burlywood", weight=9];
1020 -> 481[label="",style="solid", color="burlywood", weight=3];
446[label="True",fontsize=16,color="green",shape="box"];447[label="False",fontsize=16,color="green",shape="box"];448[label="False",fontsize=16,color="green",shape="box"];449[label="False",fontsize=16,color="green",shape="box"];450[label="True",fontsize=16,color="green",shape="box"];451[label="False",fontsize=16,color="green",shape="box"];452[label="False",fontsize=16,color="green",shape="box"];453[label="False",fontsize=16,color="green",shape="box"];454[label="True",fontsize=16,color="green",shape="box"];455[label="True",fontsize=16,color="green",shape="box"];456[label="False",fontsize=16,color="green",shape="box"];457[label="False",fontsize=16,color="green",shape="box"];458[label="xv300 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];1021[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1021[label="",style="solid", color="blue", weight=9];
1021 -> 482[label="",style="solid", color="blue", weight=3];
1022[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1022[label="",style="solid", color="blue", weight=9];
1022 -> 483[label="",style="solid", color="blue", weight=3];
1023[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1023[label="",style="solid", color="blue", weight=9];
1023 -> 484[label="",style="solid", color="blue", weight=3];
1024[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1024[label="",style="solid", color="blue", weight=9];
1024 -> 485[label="",style="solid", color="blue", weight=3];
1025[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1025[label="",style="solid", color="blue", weight=9];
1025 -> 486[label="",style="solid", color="blue", weight=3];
1026[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1026[label="",style="solid", color="blue", weight=9];
1026 -> 487[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"];458 -> 1027[label="",style="solid", color="blue", weight=9];
1027 -> 488[label="",style="solid", color="blue", weight=3];
1028[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1028[label="",style="solid", color="blue", weight=9];
1028 -> 489[label="",style="solid", color="blue", weight=3];
1029[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1029[label="",style="solid", color="blue", weight=9];
1029 -> 490[label="",style="solid", color="blue", weight=3];
1030[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1030[label="",style="solid", color="blue", weight=9];
1030 -> 491[label="",style="solid", color="blue", weight=3];
1031[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1031[label="",style="solid", color="blue", weight=9];
1031 -> 492[label="",style="solid", color="blue", weight=3];
1032[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1032[label="",style="solid", color="blue", weight=9];
1032 -> 493[label="",style="solid", color="blue", weight=3];
1033[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1033[label="",style="solid", color="blue", weight=9];
1033 -> 494[label="",style="solid", color="blue", weight=3];
1034[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1034[label="",style="solid", color="blue", weight=9];
1034 -> 495[label="",style="solid", color="blue", weight=3];
459[label="True",fontsize=16,color="green",shape="box"];460[label="False",fontsize=16,color="green",shape="box"];461[label="False",fontsize=16,color="green",shape="box"];462[label="True",fontsize=16,color="green",shape="box"];463[label="xv300 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];1035[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1035[label="",style="solid", color="blue", weight=9];
1035 -> 496[label="",style="solid", color="blue", weight=3];
1036[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1036[label="",style="solid", color="blue", weight=9];
1036 -> 497[label="",style="solid", color="blue", weight=3];
1037[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1037[label="",style="solid", color="blue", weight=9];
1037 -> 498[label="",style="solid", color="blue", weight=3];
1038[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1038[label="",style="solid", color="blue", weight=9];
1038 -> 499[label="",style="solid", color="blue", weight=3];
1039[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1039[label="",style="solid", color="blue", weight=9];
1039 -> 500[label="",style="solid", color="blue", weight=3];
1040[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1040[label="",style="solid", color="blue", weight=9];
1040 -> 501[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"];463 -> 1041[label="",style="solid", color="blue", weight=9];
1041 -> 502[label="",style="solid", color="blue", weight=3];
1042[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1042[label="",style="solid", color="blue", weight=9];
1042 -> 503[label="",style="solid", color="blue", weight=3];
1043[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1043[label="",style="solid", color="blue", weight=9];
1043 -> 504[label="",style="solid", color="blue", weight=3];
1044[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1044[label="",style="solid", color="blue", weight=9];
1044 -> 505[label="",style="solid", color="blue", weight=3];
1045[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1045[label="",style="solid", color="blue", weight=9];
1045 -> 506[label="",style="solid", color="blue", weight=3];
1046[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1046[label="",style="solid", color="blue", weight=9];
1046 -> 507[label="",style="solid", color="blue", weight=3];
1047[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1047[label="",style="solid", color="blue", weight=9];
1047 -> 508[label="",style="solid", color="blue", weight=3];
1048[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1048[label="",style="solid", color="blue", weight=9];
1048 -> 509[label="",style="solid", color="blue", weight=3];
464[label="False",fontsize=16,color="green",shape="box"];465[label="False",fontsize=16,color="green",shape="box"];466[label="xv300 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];1049[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1049[label="",style="solid", color="blue", weight=9];
1049 -> 510[label="",style="solid", color="blue", weight=3];
1050[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1050[label="",style="solid", color="blue", weight=9];
1050 -> 511[label="",style="solid", color="blue", weight=3];
1051[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1051[label="",style="solid", color="blue", weight=9];
1051 -> 512[label="",style="solid", color="blue", weight=3];
1052[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1052[label="",style="solid", color="blue", weight=9];
1052 -> 513[label="",style="solid", color="blue", weight=3];
1053[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1053[label="",style="solid", color="blue", weight=9];
1053 -> 514[label="",style="solid", color="blue", weight=3];
1054[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1054[label="",style="solid", color="blue", weight=9];
1054 -> 515[label="",style="solid", color="blue", weight=3];
1055[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1055[label="",style="solid", color="blue", weight=9];
1055 -> 516[label="",style="solid", color="blue", weight=3];
1056[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1056[label="",style="solid", color="blue", weight=9];
1056 -> 517[label="",style="solid", color="blue", weight=3];
1057[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1057[label="",style="solid", color="blue", weight=9];
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533[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];1154[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];533 -> 1154[label="",style="solid", color="burlywood", weight=9];
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539 -> 339[label="",style="dashed", color="red", weight=0];
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633 -> 337[label="",style="dashed", color="red", weight=0];
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640 -> 710[label="",style="dashed", color="magenta", weight=3];
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651 -> 337[label="",style="dashed", color="red", weight=0];
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658 -> 741[label="",style="dashed", color="magenta", weight=3];
659[label="xv301 == xv401\n  Eq a",fontsize=16,color="blue",shape="box"];1196[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1196[label="",style="solid", color="blue", weight=9];
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1233[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];682 -> 1233[label="",style="solid", color="burlywood", weight=9];
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757 -> 332[label="",style="dashed", color="red", weight=0];
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798[label="primMulInt (Pos xv3000) xv400",fontsize=16,color="burlywood",shape="box"];1266[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];798 -> 1266[label="",style="solid", color="burlywood", weight=9];
1266 -> 864[label="",style="solid", color="burlywood", weight=3];
1267[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];798 -> 1267[label="",style="solid", color="burlywood", weight=9];
1267 -> 865[label="",style="solid", color="burlywood", weight=3];
799[label="primMulInt (Neg xv3000) xv400",fontsize=16,color="burlywood",shape="box"];1268[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];799 -> 1268[label="",style="solid", color="burlywood", weight=9];
1268 -> 866[label="",style="solid", color="burlywood", weight=3];
1269[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];799 -> 1269[label="",style="solid", color="burlywood", weight=9];
1269 -> 867[label="",style="solid", color="burlywood", weight=3];
800[label="xv301",fontsize=16,color="green",shape="box"];801[label="xv401",fontsize=16,color="green",shape="box"];802[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];803[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];804[label="xv301",fontsize=16,color="green",shape="box"];805[label="xv401",fontsize=16,color="green",shape="box"];806[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];807[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];808[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];809[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];810[label="xv301",fontsize=16,color="green",shape="box"];811[label="xv401",fontsize=16,color="green",shape="box"];812[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];813[label="xv401\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];814[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];815[label="xv401\n  Integral a",fontsize=16,color="green",shape="box"];816[label="xv301",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="xv401",fontsize=16,color="green",shape="box"];824[label="xv301",fontsize=16,color="green",shape="box"];825[label="xv401",fontsize=16,color="green",shape="box"];826[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];827[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];828[label="xv302",fontsize=16,color="green",shape="box"];829[label="xv402",fontsize=16,color="green",shape="box"];830[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];831[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];832[label="xv302",fontsize=16,color="green",shape="box"];833[label="xv402",fontsize=16,color="green",shape="box"];834[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];835[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];836[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];837[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];838[label="xv302",fontsize=16,color="green",shape="box"];839[label="xv402",fontsize=16,color="green",shape="box"];840[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];841[label="xv402\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];842[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];843[label="xv402\n  Integral a",fontsize=16,color="green",shape="box"];844[label="xv302",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="xv402",fontsize=16,color="green",shape="box"];852[label="xv302",fontsize=16,color="green",shape="box"];853[label="xv402",fontsize=16,color="green",shape="box"];854[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];855[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];856[label="xv3000",fontsize=16,color="green",shape="box"];857[label="xv4000",fontsize=16,color="green",shape="box"];858[label="xv3000",fontsize=16,color="green",shape="box"];859[label="xv4000",fontsize=16,color="green",shape="box"];860 -> 542[label="",style="dashed", color="red", weight=0];
860[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];860 -> 868[label="",style="dashed", color="magenta", weight=3];
860 -> 869[label="",style="dashed", color="magenta", weight=3];
861[label="False",fontsize=16,color="green",shape="box"];862[label="False",fontsize=16,color="green",shape="box"];863[label="True",fontsize=16,color="green",shape="box"];864[label="primMulInt (Pos xv3000) (Pos xv4000)",fontsize=16,color="black",shape="box"];864 -> 870[label="",style="solid", color="black", weight=3];
865[label="primMulInt (Pos xv3000) (Neg xv4000)",fontsize=16,color="black",shape="box"];865 -> 871[label="",style="solid", color="black", weight=3];
866[label="primMulInt (Neg xv3000) (Pos xv4000)",fontsize=16,color="black",shape="box"];866 -> 872[label="",style="solid", color="black", weight=3];
867[label="primMulInt (Neg xv3000) (Neg xv4000)",fontsize=16,color="black",shape="box"];867 -> 873[label="",style="solid", color="black", weight=3];
868[label="xv3000",fontsize=16,color="green",shape="box"];869[label="xv4000",fontsize=16,color="green",shape="box"];870[label="Pos (primMulNat xv3000 xv4000)",fontsize=16,color="green",shape="box"];870 -> 874[label="",style="dashed", color="green", weight=3];
871[label="Neg (primMulNat xv3000 xv4000)",fontsize=16,color="green",shape="box"];871 -> 875[label="",style="dashed", color="green", weight=3];
872[label="Neg (primMulNat xv3000 xv4000)",fontsize=16,color="green",shape="box"];872 -> 876[label="",style="dashed", color="green", weight=3];
873[label="Pos (primMulNat xv3000 xv4000)",fontsize=16,color="green",shape="box"];873 -> 877[label="",style="dashed", color="green", weight=3];
874[label="primMulNat xv3000 xv4000",fontsize=16,color="burlywood",shape="triangle"];1271[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];874 -> 1271[label="",style="solid", color="burlywood", weight=9];
1271 -> 878[label="",style="solid", color="burlywood", weight=3];
1272[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];874 -> 1272[label="",style="solid", color="burlywood", weight=9];
1272 -> 879[label="",style="solid", color="burlywood", weight=3];
875 -> 874[label="",style="dashed", color="red", weight=0];
875[label="primMulNat xv3000 xv4000",fontsize=16,color="magenta"];875 -> 880[label="",style="dashed", color="magenta", weight=3];
876 -> 874[label="",style="dashed", color="red", weight=0];
876[label="primMulNat xv3000 xv4000",fontsize=16,color="magenta"];876 -> 881[label="",style="dashed", color="magenta", weight=3];
877 -> 874[label="",style="dashed", color="red", weight=0];
877[label="primMulNat xv3000 xv4000",fontsize=16,color="magenta"];877 -> 882[label="",style="dashed", color="magenta", weight=3];
877 -> 883[label="",style="dashed", color="magenta", weight=3];
878[label="primMulNat (Succ xv30000) xv4000",fontsize=16,color="burlywood",shape="box"];1276[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];878 -> 1276[label="",style="solid", color="burlywood", weight=9];
1276 -> 884[label="",style="solid", color="burlywood", weight=3];
1277[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];878 -> 1277[label="",style="solid", color="burlywood", weight=9];
1277 -> 885[label="",style="solid", color="burlywood", weight=3];
879[label="primMulNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1278[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];879 -> 1278[label="",style="solid", color="burlywood", weight=9];
1278 -> 886[label="",style="solid", color="burlywood", weight=3];
1279[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];879 -> 1279[label="",style="solid", color="burlywood", weight=9];
1279 -> 887[label="",style="solid", color="burlywood", weight=3];
880[label="xv4000",fontsize=16,color="green",shape="box"];881[label="xv3000",fontsize=16,color="green",shape="box"];882[label="xv4000",fontsize=16,color="green",shape="box"];883[label="xv3000",fontsize=16,color="green",shape="box"];884[label="primMulNat (Succ xv30000) (Succ xv40000)",fontsize=16,color="black",shape="box"];884 -> 888[label="",style="solid", color="black", weight=3];
885[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];885 -> 889[label="",style="solid", color="black", weight=3];
886[label="primMulNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];886 -> 890[label="",style="solid", color="black", weight=3];
887[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];887 -> 891[label="",style="solid", color="black", weight=3];
888 -> 892[label="",style="dashed", color="red", weight=0];
888[label="primPlusNat (primMulNat xv30000 (Succ xv40000)) (Succ xv40000)",fontsize=16,color="magenta"];888 -> 893[label="",style="dashed", color="magenta", weight=3];
889[label="Zero",fontsize=16,color="green",shape="box"];890[label="Zero",fontsize=16,color="green",shape="box"];891[label="Zero",fontsize=16,color="green",shape="box"];893 -> 874[label="",style="dashed", color="red", weight=0];
893[label="primMulNat xv30000 (Succ xv40000)",fontsize=16,color="magenta"];893 -> 894[label="",style="dashed", color="magenta", weight=3];
893 -> 895[label="",style="dashed", color="magenta", weight=3];
892[label="primPlusNat xv28 (Succ xv40000)",fontsize=16,color="burlywood",shape="triangle"];1282[label="xv28/Succ xv280",fontsize=10,color="white",style="solid",shape="box"];892 -> 1282[label="",style="solid", color="burlywood", weight=9];
1282 -> 896[label="",style="solid", color="burlywood", weight=3];
1283[label="xv28/Zero",fontsize=10,color="white",style="solid",shape="box"];892 -> 1283[label="",style="solid", color="burlywood", weight=9];
1283 -> 897[label="",style="solid", color="burlywood", weight=3];
894[label="Succ xv40000",fontsize=16,color="green",shape="box"];895[label="xv30000",fontsize=16,color="green",shape="box"];896[label="primPlusNat (Succ xv280) (Succ xv40000)",fontsize=16,color="black",shape="box"];896 -> 898[label="",style="solid", color="black", weight=3];
897[label="primPlusNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];897 -> 899[label="",style="solid", color="black", weight=3];
898[label="Succ (Succ (primPlusNat xv280 xv40000))",fontsize=16,color="green",shape="box"];898 -> 900[label="",style="dashed", color="green", weight=3];
899[label="Succ xv40000",fontsize=16,color="green",shape="box"];900[label="primPlusNat xv280 xv40000",fontsize=16,color="burlywood",shape="triangle"];1284[label="xv280/Succ xv2800",fontsize=10,color="white",style="solid",shape="box"];900 -> 1284[label="",style="solid", color="burlywood", weight=9];
1284 -> 901[label="",style="solid", color="burlywood", weight=3];
1285[label="xv280/Zero",fontsize=10,color="white",style="solid",shape="box"];900 -> 1285[label="",style="solid", color="burlywood", weight=9];
1285 -> 902[label="",style="solid", color="burlywood", weight=3];
901[label="primPlusNat (Succ xv2800) xv40000",fontsize=16,color="burlywood",shape="box"];1286[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];901 -> 1286[label="",style="solid", color="burlywood", weight=9];
1286 -> 903[label="",style="solid", color="burlywood", weight=3];
1287[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];901 -> 1287[label="",style="solid", color="burlywood", weight=9];
1287 -> 904[label="",style="solid", color="burlywood", weight=3];
902[label="primPlusNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];1288[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];902 -> 1288[label="",style="solid", color="burlywood", weight=9];
1288 -> 905[label="",style="solid", color="burlywood", weight=3];
1289[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];902 -> 1289[label="",style="solid", color="burlywood", weight=9];
1289 -> 906[label="",style="solid", color="burlywood", weight=3];
903[label="primPlusNat (Succ xv2800) (Succ xv400000)",fontsize=16,color="black",shape="box"];903 -> 907[label="",style="solid", color="black", weight=3];
904[label="primPlusNat (Succ xv2800) Zero",fontsize=16,color="black",shape="box"];904 -> 908[label="",style="solid", color="black", weight=3];
905[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];905 -> 909[label="",style="solid", color="black", weight=3];
906[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];906 -> 910[label="",style="solid", color="black", weight=3];
907[label="Succ (Succ (primPlusNat xv2800 xv400000))",fontsize=16,color="green",shape="box"];907 -> 911[label="",style="dashed", color="green", weight=3];
908[label="Succ xv2800",fontsize=16,color="green",shape="box"];909[label="Succ xv400000",fontsize=16,color="green",shape="box"];910[label="Zero",fontsize=16,color="green",shape="box"];911 -> 900[label="",style="dashed", color="red", weight=0];
911[label="primPlusNat xv2800 xv400000",fontsize=16,color="magenta"];911 -> 912[label="",style="dashed", color="magenta", weight=3];
911 -> 913[label="",style="dashed", color="magenta", weight=3];
912[label="xv2800",fontsize=16,color="green",shape="box"];913[label="xv400000",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(xv2800), Succ(xv400000)) → new_primPlusNat(xv2800, xv400000)

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(xv2800), Succ(xv400000)) → new_primPlusNat(xv2800, xv400000)
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(xv30000), Succ(xv40000)) → new_primMulNat(xv30000, Succ(xv40000))

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

new_primMulNat(Succ(xv30000), Succ(xv40000)) → new_primMulNat(xv30000, Succ(xv40000))
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_esEs3(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_Maybe, eg)), bbh) → new_esEs(xv300, xv400, eg)
new_esEs3(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, de), app(ty_[], ea)), bbh) → new_esEs1(xv300, xv400, ea)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, hc), hd), gc, gd) → new_esEs3(xv300, xv400, hc, hd)
new_esEs3(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, de), app(app(app(ty_@3, eb), ec), ed)), bbh) → new_esEs2(xv300, xv400, eb, ec, ed)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, gc, app(ty_Maybe, bag)) → new_esEs(xv302, xv402, bag)
new_esEs(Just(xv300), Just(xv400), app(ty_Maybe, ba)) → new_esEs(xv300, xv400, ba)
new_esEs(Just(xv300), Just(xv400), app(app(app(ty_@3, be), bf), bg)) → new_esEs2(xv300, xv400, be, bf, bg)
new_esEs3(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_[], bd)), bbh) → new_esEs1(xv300, xv400, bd)
new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(ty_Either, bce), bcf)) → new_esEs0(xv31, xv41, bce, bcf)
new_esEs3(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(app(ty_@3, fc), fd), ff)), bbh) → new_esEs2(xv300, xv400, fc, fd, ff)
new_esEs0(Right(xv300), Right(xv400), de, app(app(ty_Either, dg), dh)) → new_esEs0(xv300, xv400, dg, dh)
new_esEs(Just(xv300), Just(xv400), app(app(ty_@2, bh), ca)) → new_esEs3(xv300, xv400, bh, ca)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), app(ty_[], baa)), gd), bbh) → new_esEs1(xv301, xv401, baa)
new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, fg), fh)) → new_esEs3(xv300, xv400, fg, fh)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), gc), app(ty_[], bbb)), bbh) → new_esEs1(xv302, xv402, bbb)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, ge), gf)), gc), gd), bbh) → new_esEs0(xv300, xv400, ge, gf)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), gc), app(app(app(ty_@3, bbc), bbd), bbe)), bbh) → new_esEs2(xv302, xv402, bbc, bbd, bbe)
new_esEs3(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, dc), dd)), cc), bbh) → new_esEs3(xv300, xv400, dc, dd)
new_esEs0(Right(xv300), Right(xv400), de, app(ty_Maybe, df)) → new_esEs(xv300, xv400, df)
new_esEs3(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, ba)), bbh) → new_esEs(xv300, xv400, ba)
new_esEs0(Right(xv300), Right(xv400), de, app(app(app(ty_@3, eb), ec), ed)) → new_esEs2(xv300, xv400, eb, ec, ed)
new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bca), bcb), bbh) → new_esEs3(xv30, xv40, bca, bcb)
new_esEs0(Right(xv300), Right(xv400), de, app(app(ty_@2, ee), ef)) → new_esEs3(xv300, xv400, ee, ef)
new_esEs3(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, bb), bc)), bbh) → new_esEs0(xv300, xv400, bb, bc)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, gc, app(ty_[], bbb)) → new_esEs1(xv302, xv402, bbb)
new_esEs3(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_@2, fg), fh)), bbh) → new_esEs3(xv300, xv400, fg, fh)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], gg)), gc), gd), bbh) → new_esEs1(xv300, xv400, gg)
new_esEs3(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bh), ca)), bbh) → new_esEs3(xv300, xv400, bh, ca)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], gg), gc, gd) → new_esEs1(xv300, xv400, gg)
new_esEs3(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_[], cf)), cc), bbh) → new_esEs1(xv300, xv400, cf)
new_esEs3(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(ty_[], fb)), bbh) → new_esEs1(xv300, xv400, fb)
new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, fc), fd), ff)) → new_esEs2(xv300, xv400, fc, fd, ff)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, gc, app(app(ty_Either, bah), bba)) → new_esEs0(xv302, xv402, bah, bba)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, gc, app(app(app(ty_@3, bbc), bbd), bbe)) → new_esEs2(xv302, xv402, bbc, bbd, bbe)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), app(app(app(ty_@3, bab), bac), bad)), gd), bbh) → new_esEs2(xv301, xv401, bab, bac, bad)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, hc), hd)), gc), gd), bbh) → new_esEs3(xv300, xv400, hc, hd)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, gh), ha), hb), gc, gd) → new_esEs2(xv300, xv400, gh, ha, hb)
new_esEs3(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, cg), da), db)), cc), bbh) → new_esEs2(xv300, xv400, cg, da, db)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, app(ty_Maybe, hf), gd) → new_esEs(xv301, xv401, hf)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, gb)), gc), gd), bbh) → new_esEs(xv300, xv400, gb)
new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(app(ty_@3, bch), bda), bdb)) → new_esEs2(xv31, xv41, bch, bda, bdb)
new_esEs3(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], ga), bbh) → new_esEs1(xv301, xv401, ga)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ge), gf), gc, gd) → new_esEs0(xv300, xv400, ge, gf)
new_esEs1(:(xv300, xv301), :(xv400, xv401), ga) → new_esEs1(xv301, xv401, ga)
new_esEs3(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, de), app(app(ty_@2, ee), ef)), bbh) → new_esEs3(xv300, xv400, ee, ef)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, app(ty_[], baa), gd) → new_esEs1(xv301, xv401, baa)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), app(ty_Maybe, hf)), gd), bbh) → new_esEs(xv301, xv401, hf)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), gc), app(app(ty_Either, bah), bba)), bbh) → new_esEs0(xv302, xv402, bah, bba)
new_esEs1(:(xv300, xv301), :(xv400, xv401), app(ty_[], fb)) → new_esEs1(xv300, xv400, fb)
new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bcc, app(ty_[], bcg)) → new_esEs1(xv31, xv41, bcg)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, app(app(ty_@2, bae), baf), gd) → new_esEs3(xv301, xv401, bae, baf)
new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, cg), da), db), cc) → new_esEs2(xv300, xv400, cg, da, db)
new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, cd), ce), cc) → new_esEs0(xv300, xv400, cd, ce)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), app(app(ty_@2, bae), baf)), gd), bbh) → new_esEs3(xv301, xv401, bae, baf)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, gb), gc, gd) → new_esEs(xv300, xv400, gb)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), gc), app(app(ty_@2, bbf), bbg)), bbh) → new_esEs3(xv302, xv402, bbf, bbg)
new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bcc, app(app(ty_@2, bdc), bdd)) → new_esEs3(xv31, xv41, bdc, bdd)
new_esEs(Just(xv300), Just(xv400), app(app(ty_Either, bb), bc)) → new_esEs0(xv300, xv400, bb, bc)
new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, eh), fa)) → new_esEs0(xv300, xv400, eh, fa)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), app(app(ty_Either, hg), hh)), gd), bbh) → new_esEs0(xv301, xv401, hg, hh)
new_esEs0(Right(xv300), Right(xv400), de, app(ty_[], ea)) → new_esEs1(xv300, xv400, ea)
new_esEs1(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, eg)) → new_esEs(xv300, xv400, eg)
new_esEs(Just(xv300), Just(xv400), app(ty_[], bd)) → new_esEs1(xv300, xv400, bd)
new_esEs3(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, de), app(ty_Maybe, df)), bbh) → new_esEs(xv300, xv400, df)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, app(app(app(ty_@3, bab), bac), bad), gd) → new_esEs2(xv301, xv401, bab, bac, bad)
new_esEs0(Left(xv300), Left(xv400), app(ty_[], cf), cc) → new_esEs1(xv300, xv400, cf)
new_esEs3(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, cb)), cc), bbh) → new_esEs(xv300, xv400, cb)
new_esEs3(@2(Just(xv300), xv31), @2(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, be), bf), bg)), bbh) → new_esEs2(xv300, xv400, be, bf, bg)
new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bcc, app(ty_Maybe, bcd)) → new_esEs(xv31, xv41, bcd)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, he), gc), app(ty_Maybe, bag)), bbh) → new_esEs(xv302, xv402, bag)
new_esEs3(@2(Right(xv300), xv31), @2(Right(xv400), xv41), app(app(ty_Either, de), app(app(ty_Either, dg), dh)), bbh) → new_esEs0(xv300, xv400, dg, dh)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, gc, app(app(ty_@2, bbf), bbg)) → new_esEs3(xv302, xv402, bbf, bbg)
new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), he, app(app(ty_Either, hg), hh), gd) → new_esEs0(xv301, xv401, hg, hh)
new_esEs3(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, gh), ha), hb)), gc), gd), bbh) → new_esEs2(xv300, xv400, gh, ha, hb)
new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, cb), cc) → new_esEs(xv300, xv400, cb)
new_esEs3(@2(Left(xv300), xv31), @2(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, cd), ce)), cc), bbh) → new_esEs0(xv300, xv400, cd, ce)
new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, dc), dd), cc) → new_esEs3(xv300, xv400, dc, dd)
new_esEs3(@2(:(xv300, xv301), xv31), @2(:(xv400, xv401), xv41), app(ty_[], app(app(ty_Either, eh), fa)), bbh) → new_esEs0(xv300, xv400, eh, fa)

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

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