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

YES 1.6440000000000001 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

((notElem :: (Eq b, Eq a) => (b,a) -> [(b,a)] -> Bool) :: (Eq b, Eq a) => (b,a) -> [(b,a)] -> Bool)

module Main where

import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule Main

((notElem :: (Eq a, Eq b) => (a,b) -> [(a,b)] -> Bool) :: (Eq a, Eq b) => (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

(notElem :: (Eq b, Eq a) => (a,b) -> [(a,b)] -> Bool)

module Main where

import qualified Prelude

Haskell To QDPs

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1041 -> 469[label="",style="solid", color="burlywood", weight=3];
423[label="Nothing == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];1042[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];423 -> 1042[label="",style="solid", color="burlywood", weight=9];
1042 -> 470[label="",style="solid", color="burlywood", weight=3];
1043[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];423 -> 1043[label="",style="solid", color="burlywood", weight=9];
1043 -> 471[label="",style="solid", color="burlywood", weight=3];
424[label="Just xv300 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];1044[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];424 -> 1044[label="",style="solid", color="burlywood", weight=9];
1044 -> 472[label="",style="solid", color="burlywood", weight=3];
1045[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];424 -> 1045[label="",style="solid", color="burlywood", weight=9];
1045 -> 473[label="",style="solid", color="burlywood", weight=3];
425[label="Left xv300 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1046[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];425 -> 1046[label="",style="solid", color="burlywood", weight=9];
1046 -> 474[label="",style="solid", color="burlywood", weight=3];
1047[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];425 -> 1047[label="",style="solid", color="burlywood", weight=9];
1047 -> 475[label="",style="solid", color="burlywood", weight=3];
426[label="Right xv300 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1048[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];426 -> 1048[label="",style="solid", color="burlywood", weight=9];
1048 -> 476[label="",style="solid", color="burlywood", weight=3];
1049[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];426 -> 1049[label="",style="solid", color="burlywood", weight=9];
1049 -> 477[label="",style="solid", color="burlywood", weight=3];
427[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];1050[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];427 -> 1050[label="",style="solid", color="burlywood", weight=9];
1050 -> 478[label="",style="solid", color="burlywood", weight=3];
428[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];1051[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];428 -> 1051[label="",style="solid", color="burlywood", weight=9];
1051 -> 479[label="",style="solid", color="burlywood", weight=3];
429[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];1052[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];429 -> 1052[label="",style="solid", color="burlywood", weight=9];
1052 -> 480[label="",style="solid", color="burlywood", weight=3];
1053[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];429 -> 1053[label="",style="solid", color="burlywood", weight=9];
1053 -> 481[label="",style="solid", color="burlywood", weight=3];
1054[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];429 -> 1054[label="",style="solid", color="burlywood", weight=9];
1054 -> 482[label="",style="solid", color="burlywood", weight=3];
430[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];1055[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];430 -> 1055[label="",style="solid", color="burlywood", weight=9];
1055 -> 483[label="",style="solid", color="burlywood", weight=3];
1056[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];430 -> 1056[label="",style="solid", color="burlywood", weight=9];
1056 -> 484[label="",style="solid", color="burlywood", weight=3];
1057[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];430 -> 1057[label="",style="solid", color="burlywood", weight=9];
1057 -> 485[label="",style="solid", color="burlywood", weight=3];
431[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];1058[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];431 -> 1058[label="",style="solid", color="burlywood", weight=9];
1058 -> 486[label="",style="solid", color="burlywood", weight=3];
1059[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];431 -> 1059[label="",style="solid", color="burlywood", weight=9];
1059 -> 487[label="",style="solid", color="burlywood", weight=3];
1060[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];431 -> 1060[label="",style="solid", color="burlywood", weight=9];
1060 -> 488[label="",style="solid", color="burlywood", weight=3];
432[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];1061[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];432 -> 1061[label="",style="solid", color="burlywood", weight=9];
1061 -> 489[label="",style="solid", color="burlywood", weight=3];
433[label="xv300 : xv301 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];1062[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];433 -> 1062[label="",style="solid", color="burlywood", weight=9];
1062 -> 490[label="",style="solid", color="burlywood", weight=3];
1063[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];433 -> 1063[label="",style="solid", color="burlywood", weight=9];
1063 -> 491[label="",style="solid", color="burlywood", weight=3];
434[label="[] == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];1064[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];434 -> 1064[label="",style="solid", color="burlywood", weight=9];
1064 -> 492[label="",style="solid", color="burlywood", weight=3];
1065[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];434 -> 1065[label="",style="solid", color="burlywood", weight=9];
1065 -> 493[label="",style="solid", color="burlywood", weight=3];
435[label="(xv300,xv301,xv302) == xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];1066[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];435 -> 1066[label="",style="solid", color="burlywood", weight=9];
1066 -> 494[label="",style="solid", color="burlywood", weight=3];
436[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];1067[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];436 -> 1067[label="",style="solid", color="burlywood", weight=9];
1067 -> 495[label="",style="solid", color="burlywood", weight=3];
437[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];1068[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];437 -> 1068[label="",style="solid", color="burlywood", weight=9];
1068 -> 496[label="",style="solid", color="burlywood", weight=3];
1069[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];437 -> 1069[label="",style="solid", color="burlywood", weight=9];
1069 -> 497[label="",style="solid", color="burlywood", weight=3];
438[label="False == xv400",fontsize=16,color="burlywood",shape="box"];1070[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];438 -> 1070[label="",style="solid", color="burlywood", weight=9];
1070 -> 498[label="",style="solid", color="burlywood", weight=3];
1071[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];438 -> 1071[label="",style="solid", color="burlywood", weight=9];
1071 -> 499[label="",style="solid", color="burlywood", weight=3];
439[label="True == xv400",fontsize=16,color="burlywood",shape="box"];1072[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];439 -> 1072[label="",style="solid", color="burlywood", weight=9];
1072 -> 500[label="",style="solid", color="burlywood", weight=3];
1073[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];439 -> 1073[label="",style="solid", color="burlywood", weight=9];
1073 -> 501[label="",style="solid", color="burlywood", weight=3];
440[label="xv31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];441[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];442[label="xv401",fontsize=16,color="green",shape="box"];443[label="xv31",fontsize=16,color="green",shape="box"];444[label="xv401\n  Integral a",fontsize=16,color="green",shape="box"];445[label="xv31\n  Integral a",fontsize=16,color="green",shape="box"];446[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];447[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];448[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];449[label="xv31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];450[label="xv401",fontsize=16,color="green",shape="box"];451[label="xv31",fontsize=16,color="green",shape="box"];452[label="xv401",fontsize=16,color="green",shape="box"];453[label="xv31",fontsize=16,color="green",shape="box"];454[label="xv401",fontsize=16,color="green",shape="box"];455[label="xv31",fontsize=16,color="green",shape="box"];456[label="xv401",fontsize=16,color="green",shape="box"];457[label="xv31",fontsize=16,color="green",shape="box"];458[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];459[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];460[label="xv401\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];461[label="xv31\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];462[label="xv401",fontsize=16,color="green",shape="box"];463[label="xv31",fontsize=16,color="green",shape="box"];464[label="xv401",fontsize=16,color="green",shape="box"];465[label="xv31",fontsize=16,color="green",shape="box"];466[label="xv401",fontsize=16,color="green",shape="box"];467[label="xv31",fontsize=16,color="green",shape="box"];468[label="() == ()",fontsize=16,color="black",shape="box"];468 -> 502[label="",style="solid", color="black", weight=3];
469[label="xv300 :% xv301 == xv4000 :% xv4001\n  Integral a",fontsize=16,color="black",shape="box"];469 -> 503[label="",style="solid", color="black", weight=3];
470[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];470 -> 504[label="",style="solid", color="black", weight=3];
471[label="Nothing == Just xv4000\n  Eq a",fontsize=16,color="black",shape="box"];471 -> 505[label="",style="solid", color="black", weight=3];
472[label="Just xv300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];472 -> 506[label="",style="solid", color="black", weight=3];
473[label="Just xv300 == Just xv4000\n  Eq a",fontsize=16,color="black",shape="box"];473 -> 507[label="",style="solid", color="black", weight=3];
474[label="Left xv300 == Left xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];474 -> 508[label="",style="solid", color="black", weight=3];
475[label="Left xv300 == Right xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];475 -> 509[label="",style="solid", color="black", weight=3];
476[label="Right xv300 == Left xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];476 -> 510[label="",style="solid", color="black", weight=3];
477[label="Right xv300 == Right xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];477 -> 511[label="",style="solid", color="black", weight=3];
478[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];1074[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];478 -> 1074[label="",style="solid", color="burlywood", weight=9];
1074 -> 512[label="",style="solid", color="burlywood", weight=3];
479[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];1075[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];479 -> 1075[label="",style="solid", color="burlywood", weight=9];
1075 -> 513[label="",style="solid", color="burlywood", weight=3];
480[label="LT == LT",fontsize=16,color="black",shape="box"];480 -> 514[label="",style="solid", color="black", weight=3];
481[label="LT == EQ",fontsize=16,color="black",shape="box"];481 -> 515[label="",style="solid", color="black", weight=3];
482[label="LT == GT",fontsize=16,color="black",shape="box"];482 -> 516[label="",style="solid", color="black", weight=3];
483[label="EQ == LT",fontsize=16,color="black",shape="box"];483 -> 517[label="",style="solid", color="black", weight=3];
484[label="EQ == EQ",fontsize=16,color="black",shape="box"];484 -> 518[label="",style="solid", color="black", weight=3];
485[label="EQ == GT",fontsize=16,color="black",shape="box"];485 -> 519[label="",style="solid", color="black", weight=3];
486[label="GT == LT",fontsize=16,color="black",shape="box"];486 -> 520[label="",style="solid", color="black", weight=3];
487[label="GT == EQ",fontsize=16,color="black",shape="box"];487 -> 521[label="",style="solid", color="black", weight=3];
488[label="GT == GT",fontsize=16,color="black",shape="box"];488 -> 522[label="",style="solid", color="black", weight=3];
489[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];1076[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];489 -> 1076[label="",style="solid", color="burlywood", weight=9];
1076 -> 523[label="",style="solid", color="burlywood", weight=3];
490[label="xv300 : xv301 == xv4000 : xv4001\n  Eq a",fontsize=16,color="black",shape="box"];490 -> 524[label="",style="solid", color="black", weight=3];
491[label="xv300 : xv301 == []\n  Eq a",fontsize=16,color="black",shape="box"];491 -> 525[label="",style="solid", color="black", weight=3];
492[label="[] == xv4000 : xv4001\n  Eq a",fontsize=16,color="black",shape="box"];492 -> 526[label="",style="solid", color="black", weight=3];
493[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];493 -> 527[label="",style="solid", color="black", weight=3];
494[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];494 -> 528[label="",style="solid", color="black", weight=3];
495[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];495 -> 529[label="",style="solid", color="black", weight=3];
496[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];1077[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];496 -> 1077[label="",style="solid", color="burlywood", weight=9];
1077 -> 530[label="",style="solid", color="burlywood", weight=3];
1078[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];496 -> 1078[label="",style="solid", color="burlywood", weight=9];
1078 -> 531[label="",style="solid", color="burlywood", weight=3];
497[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];1079[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];497 -> 1079[label="",style="solid", color="burlywood", weight=9];
1079 -> 532[label="",style="solid", color="burlywood", weight=3];
1080[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];497 -> 1080[label="",style="solid", color="burlywood", weight=9];
1080 -> 533[label="",style="solid", color="burlywood", weight=3];
498[label="False == False",fontsize=16,color="black",shape="box"];498 -> 534[label="",style="solid", color="black", weight=3];
499[label="False == True",fontsize=16,color="black",shape="box"];499 -> 535[label="",style="solid", color="black", weight=3];
500[label="True == False",fontsize=16,color="black",shape="box"];500 -> 536[label="",style="solid", color="black", weight=3];
501[label="True == True",fontsize=16,color="black",shape="box"];501 -> 537[label="",style="solid", color="black", weight=3];
502[label="True",fontsize=16,color="green",shape="box"];503 -> 353[label="",style="dashed", color="red", weight=0];
503[label="xv300 == xv4000 && xv301 == xv4001\n  Integral a",fontsize=16,color="magenta"];503 -> 538[label="",style="dashed", color="magenta", weight=3];
503 -> 539[label="",style="dashed", color="magenta", weight=3];
504[label="True",fontsize=16,color="green",shape="box"];505[label="False",fontsize=16,color="green",shape="box"];506[label="False",fontsize=16,color="green",shape="box"];507[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];1082[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1082[label="",style="solid", color="blue", weight=9];
1082 -> 540[label="",style="solid", color="blue", weight=3];
1083[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1083[label="",style="solid", color="blue", weight=9];
1083 -> 541[label="",style="solid", color="blue", weight=3];
1084[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1084[label="",style="solid", color="blue", weight=9];
1084 -> 542[label="",style="solid", color="blue", weight=3];
1085[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1085[label="",style="solid", color="blue", weight=9];
1085 -> 543[label="",style="solid", color="blue", weight=3];
1086[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1086[label="",style="solid", color="blue", weight=9];
1086 -> 544[label="",style="solid", color="blue", weight=3];
1087[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1087[label="",style="solid", color="blue", weight=9];
1087 -> 545[label="",style="solid", color="blue", weight=3];
1088[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1088[label="",style="solid", color="blue", weight=9];
1088 -> 546[label="",style="solid", color="blue", weight=3];
1089[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1089[label="",style="solid", color="blue", weight=9];
1089 -> 547[label="",style="solid", color="blue", weight=3];
1090[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1090[label="",style="solid", color="blue", weight=9];
1090 -> 548[label="",style="solid", color="blue", weight=3];
1091[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1091[label="",style="solid", color="blue", weight=9];
1091 -> 549[label="",style="solid", color="blue", weight=3];
1092[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1092[label="",style="solid", color="blue", weight=9];
1092 -> 550[label="",style="solid", color="blue", weight=3];
1093[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1093[label="",style="solid", color="blue", weight=9];
1093 -> 551[label="",style="solid", color="blue", weight=3];
1094[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1094[label="",style="solid", color="blue", weight=9];
1094 -> 552[label="",style="solid", color="blue", weight=3];
1095[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];507 -> 1095[label="",style="solid", color="blue", weight=9];
1095 -> 553[label="",style="solid", color="blue", weight=3];
508[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];1096[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1096[label="",style="solid", color="blue", weight=9];
1096 -> 554[label="",style="solid", color="blue", weight=3];
1097[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1097[label="",style="solid", color="blue", weight=9];
1097 -> 555[label="",style="solid", color="blue", weight=3];
1098[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1098[label="",style="solid", color="blue", weight=9];
1098 -> 556[label="",style="solid", color="blue", weight=3];
1099[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1099[label="",style="solid", color="blue", weight=9];
1099 -> 557[label="",style="solid", color="blue", weight=3];
1100[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1100[label="",style="solid", color="blue", weight=9];
1100 -> 558[label="",style="solid", color="blue", weight=3];
1101[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1101[label="",style="solid", color="blue", weight=9];
1101 -> 559[label="",style="solid", color="blue", weight=3];
1102[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1102[label="",style="solid", color="blue", weight=9];
1102 -> 560[label="",style="solid", color="blue", weight=3];
1103[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1103[label="",style="solid", color="blue", weight=9];
1103 -> 561[label="",style="solid", color="blue", weight=3];
1104[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1104[label="",style="solid", color="blue", weight=9];
1104 -> 562[label="",style="solid", color="blue", weight=3];
1105[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1105[label="",style="solid", color="blue", weight=9];
1105 -> 563[label="",style="solid", color="blue", weight=3];
1106[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1106[label="",style="solid", color="blue", weight=9];
1106 -> 564[label="",style="solid", color="blue", weight=3];
1107[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1107[label="",style="solid", color="blue", weight=9];
1107 -> 565[label="",style="solid", color="blue", weight=3];
1108[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1108[label="",style="solid", color="blue", weight=9];
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1109[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];508 -> 1109[label="",style="solid", color="blue", weight=9];
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1111[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1111[label="",style="solid", color="blue", weight=9];
1111 -> 569[label="",style="solid", color="blue", weight=3];
1112[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1112[label="",style="solid", color="blue", weight=9];
1112 -> 570[label="",style="solid", color="blue", weight=3];
1113[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1113[label="",style="solid", color="blue", weight=9];
1113 -> 571[label="",style="solid", color="blue", weight=3];
1114[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1114[label="",style="solid", color="blue", weight=9];
1114 -> 572[label="",style="solid", color="blue", weight=3];
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1115 -> 573[label="",style="solid", color="blue", weight=3];
1116[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1116[label="",style="solid", color="blue", weight=9];
1116 -> 574[label="",style="solid", color="blue", weight=3];
1117[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1117[label="",style="solid", color="blue", weight=9];
1117 -> 575[label="",style="solid", color="blue", weight=3];
1118[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1118[label="",style="solid", color="blue", weight=9];
1118 -> 576[label="",style="solid", color="blue", weight=3];
1119[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1119[label="",style="solid", color="blue", weight=9];
1119 -> 577[label="",style="solid", color="blue", weight=3];
1120[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1120[label="",style="solid", color="blue", weight=9];
1120 -> 578[label="",style="solid", color="blue", weight=3];
1121[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1121[label="",style="solid", color="blue", weight=9];
1121 -> 579[label="",style="solid", color="blue", weight=3];
1122[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1122[label="",style="solid", color="blue", weight=9];
1122 -> 580[label="",style="solid", color="blue", weight=3];
1123[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];511 -> 1123[label="",style="solid", color="blue", weight=9];
1123 -> 581[label="",style="solid", color="blue", weight=3];
512[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];512 -> 582[label="",style="solid", color="black", weight=3];
513[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];513 -> 583[label="",style="solid", color="black", weight=3];
514[label="True",fontsize=16,color="green",shape="box"];515[label="False",fontsize=16,color="green",shape="box"];516[label="False",fontsize=16,color="green",shape="box"];517[label="False",fontsize=16,color="green",shape="box"];518[label="True",fontsize=16,color="green",shape="box"];519[label="False",fontsize=16,color="green",shape="box"];520[label="False",fontsize=16,color="green",shape="box"];521[label="False",fontsize=16,color="green",shape="box"];522[label="True",fontsize=16,color="green",shape="box"];523[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];523 -> 584[label="",style="solid", color="black", weight=3];
524 -> 353[label="",style="dashed", color="red", weight=0];
524[label="xv300 == xv4000 && xv301 == xv4001\n  Eq a",fontsize=16,color="magenta"];524 -> 585[label="",style="dashed", color="magenta", weight=3];
524 -> 586[label="",style="dashed", color="magenta", weight=3];
525[label="False",fontsize=16,color="green",shape="box"];526[label="False",fontsize=16,color="green",shape="box"];527[label="True",fontsize=16,color="green",shape="box"];528 -> 353[label="",style="dashed", color="red", weight=0];
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528 -> 588[label="",style="dashed", color="magenta", weight=3];
529 -> 437[label="",style="dashed", color="red", weight=0];
529[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];529 -> 589[label="",style="dashed", color="magenta", weight=3];
529 -> 590[label="",style="dashed", color="magenta", weight=3];
530[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];1127[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];530 -> 1127[label="",style="solid", color="burlywood", weight=9];
1127 -> 591[label="",style="solid", color="burlywood", weight=3];
1128[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];530 -> 1128[label="",style="solid", color="burlywood", weight=9];
1128 -> 592[label="",style="solid", color="burlywood", weight=3];
531[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];1129[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];531 -> 1129[label="",style="solid", color="burlywood", weight=9];
1129 -> 593[label="",style="solid", color="burlywood", weight=3];
1130[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];531 -> 1130[label="",style="solid", color="burlywood", weight=9];
1130 -> 594[label="",style="solid", color="burlywood", weight=3];
532[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];1131[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];532 -> 1131[label="",style="solid", color="burlywood", weight=9];
1131 -> 595[label="",style="solid", color="burlywood", weight=3];
1132[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];532 -> 1132[label="",style="solid", color="burlywood", weight=9];
1132 -> 596[label="",style="solid", color="burlywood", weight=3];
533[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];1133[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];533 -> 1133[label="",style="solid", color="burlywood", weight=9];
1133 -> 597[label="",style="solid", color="burlywood", weight=3];
1134[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];533 -> 1134[label="",style="solid", color="burlywood", weight=9];
1134 -> 598[label="",style="solid", color="burlywood", weight=3];
534[label="True",fontsize=16,color="green",shape="box"];535[label="False",fontsize=16,color="green",shape="box"];536[label="False",fontsize=16,color="green",shape="box"];537[label="True",fontsize=16,color="green",shape="box"];538[label="xv300 == xv4000\n  Integral a",fontsize=16,color="blue",shape="box"];1135[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1135[label="",style="solid", color="blue", weight=9];
1135 -> 599[label="",style="solid", color="blue", weight=3];
1136[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1136[label="",style="solid", color="blue", weight=9];
1136 -> 600[label="",style="solid", color="blue", weight=3];
539[label="xv301 == xv4001\n  Integral a",fontsize=16,color="blue",shape="box"];1137[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1137[label="",style="solid", color="blue", weight=9];
1137 -> 601[label="",style="solid", color="blue", weight=3];
1138[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1138[label="",style="solid", color="blue", weight=9];
1138 -> 602[label="",style="solid", color="blue", weight=3];
540 -> 380[label="",style="dashed", color="red", weight=0];
540[label="xv300 == xv4000\n  Eq a  Eq b",fontsize=16,color="magenta"];540 -> 603[label="",style="dashed", color="magenta", weight=3];
540 -> 604[label="",style="dashed", color="magenta", weight=3];
541 -> 392[label="",style="dashed", color="red", weight=0];
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542 -> 393[label="",style="dashed", color="red", weight=0];
542[label="xv300 == xv4000\n  Integral a",fontsize=16,color="magenta"];542 -> 607[label="",style="dashed", color="magenta", weight=3];
542 -> 608[label="",style="dashed", color="magenta", weight=3];
543 -> 394[label="",style="dashed", color="red", weight=0];
543[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];543 -> 609[label="",style="dashed", color="magenta", weight=3];
543 -> 610[label="",style="dashed", color="magenta", weight=3];
544 -> 395[label="",style="dashed", color="red", weight=0];
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544 -> 612[label="",style="dashed", color="magenta", weight=3];
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545[label="xv300 == xv4000",fontsize=16,color="magenta"];545 -> 613[label="",style="dashed", color="magenta", weight=3];
545 -> 614[label="",style="dashed", color="magenta", weight=3];
546 -> 397[label="",style="dashed", color="red", weight=0];
546[label="xv300 == xv4000",fontsize=16,color="magenta"];546 -> 615[label="",style="dashed", color="magenta", weight=3];
546 -> 616[label="",style="dashed", color="magenta", weight=3];
547 -> 398[label="",style="dashed", color="red", weight=0];
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548 -> 399[label="",style="dashed", color="red", weight=0];
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549 -> 400[label="",style="dashed", color="red", weight=0];
549[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];549 -> 621[label="",style="dashed", color="magenta", weight=3];
549 -> 622[label="",style="dashed", color="magenta", weight=3];
550 -> 401[label="",style="dashed", color="red", weight=0];
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552 -> 628[label="",style="dashed", color="magenta", weight=3];
553 -> 404[label="",style="dashed", color="red", weight=0];
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554 -> 632[label="",style="dashed", color="magenta", weight=3];
555 -> 392[label="",style="dashed", color="red", weight=0];
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556 -> 393[label="",style="dashed", color="red", weight=0];
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556 -> 636[label="",style="dashed", color="magenta", weight=3];
557 -> 394[label="",style="dashed", color="red", weight=0];
557[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];557 -> 637[label="",style="dashed", color="magenta", weight=3];
557 -> 638[label="",style="dashed", color="magenta", weight=3];
558 -> 395[label="",style="dashed", color="red", weight=0];
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558 -> 640[label="",style="dashed", color="magenta", weight=3];
559 -> 396[label="",style="dashed", color="red", weight=0];
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560 -> 397[label="",style="dashed", color="red", weight=0];
560[label="xv300 == xv4000",fontsize=16,color="magenta"];560 -> 643[label="",style="dashed", color="magenta", weight=3];
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562[label="xv300 == xv4000",fontsize=16,color="magenta"];562 -> 647[label="",style="dashed", color="magenta", weight=3];
562 -> 648[label="",style="dashed", color="magenta", weight=3];
563 -> 400[label="",style="dashed", color="red", weight=0];
563[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];563 -> 649[label="",style="dashed", color="magenta", weight=3];
563 -> 650[label="",style="dashed", color="magenta", weight=3];
564 -> 401[label="",style="dashed", color="red", weight=0];
564[label="xv300 == xv4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];564 -> 651[label="",style="dashed", color="magenta", weight=3];
564 -> 652[label="",style="dashed", color="magenta", weight=3];
565 -> 402[label="",style="dashed", color="red", weight=0];
565[label="xv300 == xv4000",fontsize=16,color="magenta"];565 -> 653[label="",style="dashed", color="magenta", weight=3];
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567 -> 404[label="",style="dashed", color="red", weight=0];
567[label="xv300 == xv4000",fontsize=16,color="magenta"];567 -> 657[label="",style="dashed", color="magenta", weight=3];
567 -> 658[label="",style="dashed", color="magenta", weight=3];
568 -> 380[label="",style="dashed", color="red", weight=0];
568[label="xv300 == xv4000\n  Eq a  Eq b",fontsize=16,color="magenta"];568 -> 659[label="",style="dashed", color="magenta", weight=3];
568 -> 660[label="",style="dashed", color="magenta", weight=3];
569 -> 392[label="",style="dashed", color="red", weight=0];
569[label="xv300 == xv4000",fontsize=16,color="magenta"];569 -> 661[label="",style="dashed", color="magenta", weight=3];
569 -> 662[label="",style="dashed", color="magenta", weight=3];
570 -> 393[label="",style="dashed", color="red", weight=0];
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570 -> 664[label="",style="dashed", color="magenta", weight=3];
571 -> 394[label="",style="dashed", color="red", weight=0];
571[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];571 -> 665[label="",style="dashed", color="magenta", weight=3];
571 -> 666[label="",style="dashed", color="magenta", weight=3];
572 -> 395[label="",style="dashed", color="red", weight=0];
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573 -> 396[label="",style="dashed", color="red", weight=0];
573[label="xv300 == xv4000",fontsize=16,color="magenta"];573 -> 669[label="",style="dashed", color="magenta", weight=3];
573 -> 670[label="",style="dashed", color="magenta", weight=3];
574 -> 397[label="",style="dashed", color="red", weight=0];
574[label="xv300 == xv4000",fontsize=16,color="magenta"];574 -> 671[label="",style="dashed", color="magenta", weight=3];
574 -> 672[label="",style="dashed", color="magenta", weight=3];
575 -> 398[label="",style="dashed", color="red", weight=0];
575[label="xv300 == xv4000",fontsize=16,color="magenta"];575 -> 673[label="",style="dashed", color="magenta", weight=3];
575 -> 674[label="",style="dashed", color="magenta", weight=3];
576 -> 399[label="",style="dashed", color="red", weight=0];
576[label="xv300 == xv4000",fontsize=16,color="magenta"];576 -> 675[label="",style="dashed", color="magenta", weight=3];
576 -> 676[label="",style="dashed", color="magenta", weight=3];
577 -> 400[label="",style="dashed", color="red", weight=0];
577[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];577 -> 677[label="",style="dashed", color="magenta", weight=3];
577 -> 678[label="",style="dashed", color="magenta", weight=3];
578 -> 401[label="",style="dashed", color="red", weight=0];
578[label="xv300 == xv4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];578 -> 679[label="",style="dashed", color="magenta", weight=3];
578 -> 680[label="",style="dashed", color="magenta", weight=3];
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580 -> 403[label="",style="dashed", color="red", weight=0];
580[label="xv300 == xv4000",fontsize=16,color="magenta"];580 -> 683[label="",style="dashed", color="magenta", weight=3];
580 -> 684[label="",style="dashed", color="magenta", weight=3];
581 -> 404[label="",style="dashed", color="red", weight=0];
581[label="xv300 == xv4000",fontsize=16,color="magenta"];581 -> 685[label="",style="dashed", color="magenta", weight=3];
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1181 -> 687[label="",style="solid", color="burlywood", weight=3];
1182[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];582 -> 1182[label="",style="solid", color="burlywood", weight=9];
1182 -> 688[label="",style="solid", color="burlywood", weight=3];
583 -> 403[label="",style="dashed", color="red", weight=0];
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584 -> 692[label="",style="dashed", color="magenta", weight=3];
585[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];1185[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1185[label="",style="solid", color="blue", weight=9];
1185 -> 693[label="",style="solid", color="blue", weight=3];
1186[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1186[label="",style="solid", color="blue", weight=9];
1186 -> 694[label="",style="solid", color="blue", weight=3];
1187[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1187[label="",style="solid", color="blue", weight=9];
1187 -> 695[label="",style="solid", color="blue", weight=3];
1188[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1188[label="",style="solid", color="blue", weight=9];
1188 -> 696[label="",style="solid", color="blue", weight=3];
1189[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1189[label="",style="solid", color="blue", weight=9];
1189 -> 697[label="",style="solid", color="blue", weight=3];
1190[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1190[label="",style="solid", color="blue", weight=9];
1190 -> 698[label="",style="solid", color="blue", weight=3];
1191[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1191[label="",style="solid", color="blue", weight=9];
1191 -> 699[label="",style="solid", color="blue", weight=3];
1192[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1192[label="",style="solid", color="blue", weight=9];
1192 -> 700[label="",style="solid", color="blue", weight=3];
1193[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1193[label="",style="solid", color="blue", weight=9];
1193 -> 701[label="",style="solid", color="blue", weight=3];
1194[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1194[label="",style="solid", color="blue", weight=9];
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1195[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1195[label="",style="solid", color="blue", weight=9];
1195 -> 703[label="",style="solid", color="blue", weight=3];
1196[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1196[label="",style="solid", color="blue", weight=9];
1196 -> 704[label="",style="solid", color="blue", weight=3];
1197[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1197[label="",style="solid", color="blue", weight=9];
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1198[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];585 -> 1198[label="",style="solid", color="blue", weight=9];
1198 -> 706[label="",style="solid", color="blue", weight=3];
586 -> 400[label="",style="dashed", color="red", weight=0];
586[label="xv301 == xv4001\n  Eq a",fontsize=16,color="magenta"];586 -> 707[label="",style="dashed", color="magenta", weight=3];
586 -> 708[label="",style="dashed", color="magenta", weight=3];
587[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];1200[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1200[label="",style="solid", color="blue", weight=9];
1200 -> 709[label="",style="solid", color="blue", weight=3];
1201[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1201[label="",style="solid", color="blue", weight=9];
1201 -> 710[label="",style="solid", color="blue", weight=3];
1202[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1202[label="",style="solid", color="blue", weight=9];
1202 -> 711[label="",style="solid", color="blue", weight=3];
1203[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1203[label="",style="solid", color="blue", weight=9];
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1204[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1204[label="",style="solid", color="blue", weight=9];
1204 -> 713[label="",style="solid", color="blue", weight=3];
1205[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1205[label="",style="solid", color="blue", weight=9];
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1206[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1206[label="",style="solid", color="blue", weight=9];
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1207[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1207[label="",style="solid", color="blue", weight=9];
1207 -> 716[label="",style="solid", color="blue", weight=3];
1208[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1208[label="",style="solid", color="blue", weight=9];
1208 -> 717[label="",style="solid", color="blue", weight=3];
1209[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1209[label="",style="solid", color="blue", weight=9];
1209 -> 718[label="",style="solid", color="blue", weight=3];
1210[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1210[label="",style="solid", color="blue", weight=9];
1210 -> 719[label="",style="solid", color="blue", weight=3];
1211[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1211[label="",style="solid", color="blue", weight=9];
1211 -> 720[label="",style="solid", color="blue", weight=3];
1212[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1212[label="",style="solid", color="blue", weight=9];
1212 -> 721[label="",style="solid", color="blue", weight=3];
1213[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];587 -> 1213[label="",style="solid", color="blue", weight=9];
1213 -> 722[label="",style="solid", color="blue", weight=3];
588 -> 353[label="",style="dashed", color="red", weight=0];
588[label="xv301 == xv4001 && xv302 == xv4002\n  Eq a  Eq b",fontsize=16,color="magenta"];588 -> 723[label="",style="dashed", color="magenta", weight=3];
588 -> 724[label="",style="dashed", color="magenta", weight=3];
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1215 -> 725[label="",style="solid", color="burlywood", weight=3];
1216[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];591 -> 1216[label="",style="solid", color="burlywood", weight=9];
1216 -> 726[label="",style="solid", color="burlywood", weight=3];
592[label="primEqInt (Pos (Succ xv3000)) (Neg xv4000)",fontsize=16,color="black",shape="box"];592 -> 727[label="",style="solid", color="black", weight=3];
593[label="primEqInt (Pos Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1217[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];593 -> 1217[label="",style="solid", color="burlywood", weight=9];
1217 -> 728[label="",style="solid", color="burlywood", weight=3];
1218[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];593 -> 1218[label="",style="solid", color="burlywood", weight=9];
1218 -> 729[label="",style="solid", color="burlywood", weight=3];
594[label="primEqInt (Pos Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1219[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];594 -> 1219[label="",style="solid", color="burlywood", weight=9];
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1220[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];594 -> 1220[label="",style="solid", color="burlywood", weight=9];
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596[label="primEqInt (Neg (Succ xv3000)) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];1221[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];596 -> 1221[label="",style="solid", color="burlywood", weight=9];
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1222[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];596 -> 1222[label="",style="solid", color="burlywood", weight=9];
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597[label="primEqInt (Neg Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];1223[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];597 -> 1223[label="",style="solid", color="burlywood", weight=9];
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1224[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];597 -> 1224[label="",style="solid", color="burlywood", weight=9];
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1226[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];598 -> 1226[label="",style="solid", color="burlywood", weight=9];
1226 -> 738[label="",style="solid", color="burlywood", weight=3];
599 -> 402[label="",style="dashed", color="red", weight=0];
599[label="xv300 == xv4000",fontsize=16,color="magenta"];599 -> 739[label="",style="dashed", color="magenta", weight=3];
599 -> 740[label="",style="dashed", color="magenta", weight=3];
600 -> 403[label="",style="dashed", color="red", weight=0];
600[label="xv300 == xv4000",fontsize=16,color="magenta"];600 -> 741[label="",style="dashed", color="magenta", weight=3];
600 -> 742[label="",style="dashed", color="magenta", weight=3];
601 -> 402[label="",style="dashed", color="red", weight=0];
601[label="xv301 == xv4001",fontsize=16,color="magenta"];601 -> 743[label="",style="dashed", color="magenta", weight=3];
601 -> 744[label="",style="dashed", color="magenta", weight=3];
602 -> 403[label="",style="dashed", color="red", weight=0];
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603[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];604[label="xv4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];605[label="xv4000",fontsize=16,color="green",shape="box"];606[label="xv300",fontsize=16,color="green",shape="box"];607[label="xv4000\n  Integral a",fontsize=16,color="green",shape="box"];608[label="xv300\n  Integral a",fontsize=16,color="green",shape="box"];609[label="xv4000\n  Eq a",fontsize=16,color="green",shape="box"];610[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];611[label="xv4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];612[label="xv300\n  Eq a  Eq 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1232[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];687 -> 1232[label="",style="solid", color="burlywood", weight=9];
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688[label="primEqNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1233[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];688 -> 1233[label="",style="solid", color="burlywood", weight=9];
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1234[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];688 -> 1234[label="",style="solid", color="burlywood", weight=9];
1234 -> 750[label="",style="solid", color="burlywood", weight=3];
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690 -> 689[label="",style="dashed", color="red", weight=0];
690[label="xv300 * xv4000",fontsize=16,color="magenta"];690 -> 752[label="",style="dashed", color="magenta", weight=3];
690 -> 753[label="",style="dashed", color="magenta", weight=3];
691 -> 689[label="",style="dashed", color="red", weight=0];
691[label="xv301 * xv4001",fontsize=16,color="magenta"];691 -> 754[label="",style="dashed", color="magenta", weight=3];
691 -> 755[label="",style="dashed", color="magenta", weight=3];
692 -> 689[label="",style="dashed", color="red", weight=0];
692[label="xv300 * xv4000",fontsize=16,color="magenta"];692 -> 756[label="",style="dashed", color="magenta", weight=3];
692 -> 757[label="",style="dashed", color="magenta", weight=3];
693 -> 380[label="",style="dashed", color="red", weight=0];
693[label="xv300 == xv4000\n  Eq a  Eq b",fontsize=16,color="magenta"];693 -> 758[label="",style="dashed", color="magenta", weight=3];
693 -> 759[label="",style="dashed", color="magenta", weight=3];
694 -> 392[label="",style="dashed", color="red", weight=0];
694[label="xv300 == xv4000",fontsize=16,color="magenta"];694 -> 760[label="",style="dashed", color="magenta", weight=3];
694 -> 761[label="",style="dashed", color="magenta", weight=3];
695 -> 393[label="",style="dashed", color="red", weight=0];
695[label="xv300 == xv4000\n  Integral a",fontsize=16,color="magenta"];695 -> 762[label="",style="dashed", color="magenta", weight=3];
695 -> 763[label="",style="dashed", color="magenta", weight=3];
696 -> 394[label="",style="dashed", color="red", weight=0];
696[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];696 -> 764[label="",style="dashed", color="magenta", weight=3];
696 -> 765[label="",style="dashed", color="magenta", weight=3];
697 -> 395[label="",style="dashed", color="red", weight=0];
697[label="xv300 == xv4000\n  Eq a  Eq b",fontsize=16,color="magenta"];697 -> 766[label="",style="dashed", color="magenta", weight=3];
697 -> 767[label="",style="dashed", color="magenta", weight=3];
698 -> 396[label="",style="dashed", color="red", weight=0];
698[label="xv300 == xv4000",fontsize=16,color="magenta"];698 -> 768[label="",style="dashed", color="magenta", weight=3];
698 -> 769[label="",style="dashed", color="magenta", weight=3];
699 -> 397[label="",style="dashed", color="red", weight=0];
699[label="xv300 == xv4000",fontsize=16,color="magenta"];699 -> 770[label="",style="dashed", color="magenta", weight=3];
699 -> 771[label="",style="dashed", color="magenta", weight=3];
700 -> 398[label="",style="dashed", color="red", weight=0];
700[label="xv300 == xv4000",fontsize=16,color="magenta"];700 -> 772[label="",style="dashed", color="magenta", weight=3];
700 -> 773[label="",style="dashed", color="magenta", weight=3];
701 -> 399[label="",style="dashed", color="red", weight=0];
701[label="xv300 == xv4000",fontsize=16,color="magenta"];701 -> 774[label="",style="dashed", color="magenta", weight=3];
701 -> 775[label="",style="dashed", color="magenta", weight=3];
702 -> 400[label="",style="dashed", color="red", weight=0];
702[label="xv300 == xv4000\n  Eq a",fontsize=16,color="magenta"];702 -> 776[label="",style="dashed", color="magenta", weight=3];
702 -> 777[label="",style="dashed", color="magenta", weight=3];
703 -> 401[label="",style="dashed", color="red", weight=0];
703[label="xv300 == xv4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];703 -> 778[label="",style="dashed", color="magenta", weight=3];
703 -> 779[label="",style="dashed", color="magenta", weight=3];
704 -> 402[label="",style="dashed", color="red", weight=0];
704[label="xv300 == xv4000",fontsize=16,color="magenta"];704 -> 780[label="",style="dashed", color="magenta", weight=3];
704 -> 781[label="",style="dashed", color="magenta", weight=3];
705 -> 403[label="",style="dashed", color="red", weight=0];
705[label="xv300 == xv4000",fontsize=16,color="magenta"];705 -> 782[label="",style="dashed", color="magenta", weight=3];
705 -> 783[label="",style="dashed", color="magenta", weight=3];
706 -> 404[label="",style="dashed", color="red", weight=0];
706[label="xv300 == xv4000",fontsize=16,color="magenta"];706 -> 784[label="",style="dashed", color="magenta", weight=3];
706 -> 785[label="",style="dashed", color="magenta", weight=3];
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709[label="xv300 == xv4000\n  Eq a  Eq b",fontsize=16,color="magenta"];709 -> 786[label="",style="dashed", color="magenta", weight=3];
709 -> 787[label="",style="dashed", color="magenta", weight=3];
710 -> 392[label="",style="dashed", color="red", weight=0];
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1272 -> 820[label="",style="solid", color="blue", weight=3];
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1278[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1278[label="",style="solid", color="blue", weight=9];
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833 -> 396[label="",style="dashed", color="red", weight=0];
833[label="xv302 == xv4002",fontsize=16,color="magenta"];833 -> 898[label="",style="dashed", color="magenta", weight=3];
833 -> 899[label="",style="dashed", color="magenta", weight=3];
834 -> 397[label="",style="dashed", color="red", weight=0];
834[label="xv302 == xv4002",fontsize=16,color="magenta"];834 -> 900[label="",style="dashed", color="magenta", weight=3];
834 -> 901[label="",style="dashed", color="magenta", weight=3];
835 -> 398[label="",style="dashed", color="red", weight=0];
835[label="xv302 == xv4002",fontsize=16,color="magenta"];835 -> 902[label="",style="dashed", color="magenta", weight=3];
835 -> 903[label="",style="dashed", color="magenta", weight=3];
836 -> 399[label="",style="dashed", color="red", weight=0];
836[label="xv302 == xv4002",fontsize=16,color="magenta"];836 -> 904[label="",style="dashed", color="magenta", weight=3];
836 -> 905[label="",style="dashed", color="magenta", weight=3];
837 -> 400[label="",style="dashed", color="red", weight=0];
837[label="xv302 == xv4002\n  Eq a",fontsize=16,color="magenta"];837 -> 906[label="",style="dashed", color="magenta", weight=3];
837 -> 907[label="",style="dashed", color="magenta", weight=3];
838 -> 401[label="",style="dashed", color="red", weight=0];
838[label="xv302 == xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];838 -> 908[label="",style="dashed", color="magenta", weight=3];
838 -> 909[label="",style="dashed", color="magenta", weight=3];
839 -> 402[label="",style="dashed", color="red", weight=0];
839[label="xv302 == xv4002",fontsize=16,color="magenta"];839 -> 910[label="",style="dashed", color="magenta", weight=3];
839 -> 911[label="",style="dashed", color="magenta", weight=3];
840 -> 403[label="",style="dashed", color="red", weight=0];
840[label="xv302 == xv4002",fontsize=16,color="magenta"];840 -> 912[label="",style="dashed", color="magenta", weight=3];
840 -> 913[label="",style="dashed", color="magenta", weight=3];
841 -> 404[label="",style="dashed", color="red", weight=0];
841[label="xv302 == xv4002",fontsize=16,color="magenta"];841 -> 914[label="",style="dashed", color="magenta", weight=3];
841 -> 915[label="",style="dashed", color="magenta", weight=3];
842 -> 582[label="",style="dashed", color="red", weight=0];
842[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];842 -> 916[label="",style="dashed", color="magenta", weight=3];
842 -> 917[label="",style="dashed", color="magenta", weight=3];
843[label="False",fontsize=16,color="green",shape="box"];844[label="False",fontsize=16,color="green",shape="box"];845[label="True",fontsize=16,color="green",shape="box"];846[label="False",fontsize=16,color="green",shape="box"];847[label="True",fontsize=16,color="green",shape="box"];848 -> 582[label="",style="dashed", color="red", weight=0];
848[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];848 -> 918[label="",style="dashed", color="magenta", weight=3];
848 -> 919[label="",style="dashed", color="magenta", weight=3];
849[label="False",fontsize=16,color="green",shape="box"];850[label="False",fontsize=16,color="green",shape="box"];851[label="True",fontsize=16,color="green",shape="box"];852[label="False",fontsize=16,color="green",shape="box"];853[label="True",fontsize=16,color="green",shape="box"];854 -> 582[label="",style="dashed", color="red", weight=0];
854[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];854 -> 920[label="",style="dashed", color="magenta", weight=3];
854 -> 921[label="",style="dashed", color="magenta", weight=3];
855[label="False",fontsize=16,color="green",shape="box"];856[label="False",fontsize=16,color="green",shape="box"];857[label="True",fontsize=16,color="green",shape="box"];858[label="primMulInt (Pos xv3010) xv4001",fontsize=16,color="burlywood",shape="box"];1327[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];858 -> 1327[label="",style="solid", color="burlywood", weight=9];
1327 -> 922[label="",style="solid", color="burlywood", weight=3];
1328[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];858 -> 1328[label="",style="solid", color="burlywood", weight=9];
1328 -> 923[label="",style="solid", color="burlywood", weight=3];
859[label="primMulInt (Neg xv3010) xv4001",fontsize=16,color="burlywood",shape="box"];1329[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];859 -> 1329[label="",style="solid", color="burlywood", weight=9];
1329 -> 924[label="",style="solid", color="burlywood", weight=3];
1330[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];859 -> 1330[label="",style="solid", color="burlywood", weight=9];
1330 -> 925[label="",style="solid", color="burlywood", weight=3];
860[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];861[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];862[label="xv4001",fontsize=16,color="green",shape="box"];863[label="xv301",fontsize=16,color="green",shape="box"];864[label="xv4001\n  Integral a",fontsize=16,color="green",shape="box"];865[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];866[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];867[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];868[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];869[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];870[label="xv4001",fontsize=16,color="green",shape="box"];871[label="xv301",fontsize=16,color="green",shape="box"];872[label="xv4001",fontsize=16,color="green",shape="box"];873[label="xv301",fontsize=16,color="green",shape="box"];874[label="xv4001",fontsize=16,color="green",shape="box"];875[label="xv301",fontsize=16,color="green",shape="box"];876[label="xv4001",fontsize=16,color="green",shape="box"];877[label="xv301",fontsize=16,color="green",shape="box"];878[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];879[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];880[label="xv4001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];881[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];882[label="xv4001",fontsize=16,color="green",shape="box"];883[label="xv301",fontsize=16,color="green",shape="box"];884[label="xv4001",fontsize=16,color="green",shape="box"];885[label="xv301",fontsize=16,color="green",shape="box"];886[label="xv4001",fontsize=16,color="green",shape="box"];887[label="xv301",fontsize=16,color="green",shape="box"];888[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];889[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];890[label="xv4002",fontsize=16,color="green",shape="box"];891[label="xv302",fontsize=16,color="green",shape="box"];892[label="xv4002\n  Integral a",fontsize=16,color="green",shape="box"];893[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];894[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];895[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];896[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];897[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];898[label="xv4002",fontsize=16,color="green",shape="box"];899[label="xv302",fontsize=16,color="green",shape="box"];900[label="xv4002",fontsize=16,color="green",shape="box"];901[label="xv302",fontsize=16,color="green",shape="box"];902[label="xv4002",fontsize=16,color="green",shape="box"];903[label="xv302",fontsize=16,color="green",shape="box"];904[label="xv4002",fontsize=16,color="green",shape="box"];905[label="xv302",fontsize=16,color="green",shape="box"];906[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];907[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];908[label="xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];909[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];910[label="xv4002",fontsize=16,color="green",shape="box"];911[label="xv302",fontsize=16,color="green",shape="box"];912[label="xv4002",fontsize=16,color="green",shape="box"];913[label="xv302",fontsize=16,color="green",shape="box"];914[label="xv4002",fontsize=16,color="green",shape="box"];915[label="xv302",fontsize=16,color="green",shape="box"];916[label="xv40000",fontsize=16,color="green",shape="box"];917[label="xv3000",fontsize=16,color="green",shape="box"];918[label="xv40000",fontsize=16,color="green",shape="box"];919[label="xv3000",fontsize=16,color="green",shape="box"];920[label="xv40000",fontsize=16,color="green",shape="box"];921[label="xv3000",fontsize=16,color="green",shape="box"];922[label="primMulInt (Pos xv3010) (Pos xv40010)",fontsize=16,color="black",shape="box"];922 -> 926[label="",style="solid", color="black", weight=3];
923[label="primMulInt (Pos xv3010) (Neg xv40010)",fontsize=16,color="black",shape="box"];923 -> 927[label="",style="solid", color="black", weight=3];
924[label="primMulInt (Neg xv3010) (Pos xv40010)",fontsize=16,color="black",shape="box"];924 -> 928[label="",style="solid", color="black", weight=3];
925[label="primMulInt (Neg xv3010) (Neg xv40010)",fontsize=16,color="black",shape="box"];925 -> 929[label="",style="solid", color="black", weight=3];
926[label="Pos (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];926 -> 930[label="",style="dashed", color="green", weight=3];
927[label="Neg (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];927 -> 931[label="",style="dashed", color="green", weight=3];
928[label="Neg (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];928 -> 932[label="",style="dashed", color="green", weight=3];
929[label="Pos (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];929 -> 933[label="",style="dashed", color="green", weight=3];
930[label="primMulNat xv3010 xv40010",fontsize=16,color="burlywood",shape="triangle"];1331[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];930 -> 1331[label="",style="solid", color="burlywood", weight=9];
1331 -> 934[label="",style="solid", color="burlywood", weight=3];
1332[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];930 -> 1332[label="",style="solid", color="burlywood", weight=9];
1332 -> 935[label="",style="solid", color="burlywood", weight=3];
931 -> 930[label="",style="dashed", color="red", weight=0];
931[label="primMulNat xv3010 xv40010",fontsize=16,color="magenta"];931 -> 936[label="",style="dashed", color="magenta", weight=3];
932 -> 930[label="",style="dashed", color="red", weight=0];
932[label="primMulNat xv3010 xv40010",fontsize=16,color="magenta"];932 -> 937[label="",style="dashed", color="magenta", weight=3];
933 -> 930[label="",style="dashed", color="red", weight=0];
933[label="primMulNat xv3010 xv40010",fontsize=16,color="magenta"];933 -> 938[label="",style="dashed", color="magenta", weight=3];
933 -> 939[label="",style="dashed", color="magenta", weight=3];
934[label="primMulNat (Succ xv30100) xv40010",fontsize=16,color="burlywood",shape="box"];1336[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];934 -> 1336[label="",style="solid", color="burlywood", weight=9];
1336 -> 940[label="",style="solid", color="burlywood", weight=3];
1337[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];934 -> 1337[label="",style="solid", color="burlywood", weight=9];
1337 -> 941[label="",style="solid", color="burlywood", weight=3];
935[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];1338[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];935 -> 1338[label="",style="solid", color="burlywood", weight=9];
1338 -> 942[label="",style="solid", color="burlywood", weight=3];
1339[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];935 -> 1339[label="",style="solid", color="burlywood", weight=9];
1339 -> 943[label="",style="solid", color="burlywood", weight=3];
936[label="xv40010",fontsize=16,color="green",shape="box"];937[label="xv3010",fontsize=16,color="green",shape="box"];938[label="xv40010",fontsize=16,color="green",shape="box"];939[label="xv3010",fontsize=16,color="green",shape="box"];940[label="primMulNat (Succ xv30100) (Succ xv400100)",fontsize=16,color="black",shape="box"];940 -> 944[label="",style="solid", color="black", weight=3];
941[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];941 -> 945[label="",style="solid", color="black", weight=3];
942[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];942 -> 946[label="",style="solid", color="black", weight=3];
943[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];943 -> 947[label="",style="solid", color="black", weight=3];
944 -> 948[label="",style="dashed", color="red", weight=0];
944[label="primPlusNat (primMulNat xv30100 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];944 -> 949[label="",style="dashed", color="magenta", weight=3];
945[label="Zero",fontsize=16,color="green",shape="box"];946[label="Zero",fontsize=16,color="green",shape="box"];947[label="Zero",fontsize=16,color="green",shape="box"];949 -> 930[label="",style="dashed", color="red", weight=0];
949[label="primMulNat xv30100 (Succ xv400100)",fontsize=16,color="magenta"];949 -> 950[label="",style="dashed", color="magenta", weight=3];
949 -> 951[label="",style="dashed", color="magenta", weight=3];
948[label="primPlusNat xv34 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];1342[label="xv34/Succ xv340",fontsize=10,color="white",style="solid",shape="box"];948 -> 1342[label="",style="solid", color="burlywood", weight=9];
1342 -> 952[label="",style="solid", color="burlywood", weight=3];
1343[label="xv34/Zero",fontsize=10,color="white",style="solid",shape="box"];948 -> 1343[label="",style="solid", color="burlywood", weight=9];
1343 -> 953[label="",style="solid", color="burlywood", weight=3];
950[label="Succ xv400100",fontsize=16,color="green",shape="box"];951[label="xv30100",fontsize=16,color="green",shape="box"];952[label="primPlusNat (Succ xv340) (Succ xv400100)",fontsize=16,color="black",shape="box"];952 -> 954[label="",style="solid", color="black", weight=3];
953[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];953 -> 955[label="",style="solid", color="black", weight=3];
954[label="Succ (Succ (primPlusNat xv340 xv400100))",fontsize=16,color="green",shape="box"];954 -> 956[label="",style="dashed", color="green", weight=3];
955[label="Succ xv400100",fontsize=16,color="green",shape="box"];956[label="primPlusNat xv340 xv400100",fontsize=16,color="burlywood",shape="triangle"];1344[label="xv340/Succ xv3400",fontsize=10,color="white",style="solid",shape="box"];956 -> 1344[label="",style="solid", color="burlywood", weight=9];
1344 -> 957[label="",style="solid", color="burlywood", weight=3];
1345[label="xv340/Zero",fontsize=10,color="white",style="solid",shape="box"];956 -> 1345[label="",style="solid", color="burlywood", weight=9];
1345 -> 958[label="",style="solid", color="burlywood", weight=3];
957[label="primPlusNat (Succ xv3400) xv400100",fontsize=16,color="burlywood",shape="box"];1346[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];957 -> 1346[label="",style="solid", color="burlywood", weight=9];
1346 -> 959[label="",style="solid", color="burlywood", weight=3];
1347[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];957 -> 1347[label="",style="solid", color="burlywood", weight=9];
1347 -> 960[label="",style="solid", color="burlywood", weight=3];
958[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];1348[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];958 -> 1348[label="",style="solid", color="burlywood", weight=9];
1348 -> 961[label="",style="solid", color="burlywood", weight=3];
1349[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];958 -> 1349[label="",style="solid", color="burlywood", weight=9];
1349 -> 962[label="",style="solid", color="burlywood", weight=3];
959[label="primPlusNat (Succ xv3400) (Succ xv4001000)",fontsize=16,color="black",shape="box"];959 -> 963[label="",style="solid", color="black", weight=3];
960[label="primPlusNat (Succ xv3400) Zero",fontsize=16,color="black",shape="box"];960 -> 964[label="",style="solid", color="black", weight=3];
961[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];961 -> 965[label="",style="solid", color="black", weight=3];
962[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];962 -> 966[label="",style="solid", color="black", weight=3];
963[label="Succ (Succ (primPlusNat xv3400 xv4001000))",fontsize=16,color="green",shape="box"];963 -> 967[label="",style="dashed", color="green", weight=3];
964[label="Succ xv3400",fontsize=16,color="green",shape="box"];965[label="Succ xv4001000",fontsize=16,color="green",shape="box"];966[label="Zero",fontsize=16,color="green",shape="box"];967 -> 956[label="",style="dashed", color="red", weight=0];
967[label="primPlusNat xv3400 xv4001000",fontsize=16,color="magenta"];967 -> 968[label="",style="dashed", color="magenta", weight=3];
967 -> 969[label="",style="dashed", color="magenta", weight=3];
968[label="xv3400",fontsize=16,color="green",shape="box"];969[label="xv4001000",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primPlusNat(Succ(xv3400), Succ(xv4001000)) → new_primPlusNat(xv3400, xv4001000)

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(xv3400), Succ(xv4001000)) → new_primPlusNat(xv3400, xv4001000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primMulNat(Succ(xv30100), Succ(xv400100)) → new_primMulNat(xv30100, Succ(xv400100))

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

new_primMulNat(Succ(xv30100), Succ(xv400100)) → new_primMulNat(xv30100, Succ(xv400100))
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

new_primEqNat(Succ(xv3000), Succ(xv40000)) → new_primEqNat(xv3000, xv40000)

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

new_primEqNat(Succ(xv3000), Succ(xv40000)) → new_primEqNat(xv3000, xv40000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

new_esEs(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, ba), bb), bc) → new_esEs(xv30, xv400, ba, bb)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(ty_Maybe, bbd)), bc) → new_esEs0(xv302, xv4002, bbd)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_Either, hb), hc)), gg), gh), bc) → new_esEs1(xv300, xv4000, hb, hc)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(app(ty_Either, bad), bae)), gh), bc) → new_esEs1(xv301, xv4001, bad, bae)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(app(ty_@2, bbb), bbc)) → new_esEs(xv302, xv4002, bbb, bbc)
new_esEs1(Right(xv300), Right(xv4000), dh, app(ty_Maybe, ec)) → new_esEs0(xv300, xv4000, ec)
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(ty_[], bda)) → new_esEs2(xv31, xv401, bda)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(app(ty_Either, ed), ee)), bc) → new_esEs1(xv300, xv4000, ed, ee)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(ty_Maybe, bac), gh) → new_esEs0(xv301, xv4001, bac)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(app(app(ty_@3, bbh), bca), bcb)), bc) → new_esEs3(xv302, xv4002, bbh, bca, bcb)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_[], hd)), gg), gh), bc) → new_esEs2(xv300, xv4000, hd)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_Maybe, fd)), bc) → new_esEs0(xv300, xv4000, fd)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(app(ty_@3, he), hf), hg)), gg), gh), bc) → new_esEs3(xv300, xv4000, he, hf, hg)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_@2, ge), gf)), gg), gh), bc) → new_esEs(xv300, xv4000, ge, gf)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(app(app(ty_@3, bag), bah), bba)), gh), bc) → new_esEs3(xv301, xv4001, bag, bah, bba)
new_esEs0(Just(xv300), Just(xv4000), app(ty_Maybe, bf)) → new_esEs0(xv300, xv4000, bf)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], hd), gg, gh) → new_esEs2(xv300, xv4000, hd)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(ty_Maybe, bbd)) → new_esEs0(xv302, xv4002, bbd)
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_Either, db), dc), cg) → new_esEs1(xv300, xv4000, db, dc)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(ty_[], baf)), gh), bc) → new_esEs2(xv301, xv4001, baf)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, hb), hc), gg, gh) → new_esEs1(xv300, xv4000, hb, hc)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_@2, bd), be)), bc) → new_esEs(xv300, xv4000, bd, be)
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, fd)) → new_esEs0(xv300, xv4000, fd)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(app(ty_Either, bad), bae), gh) → new_esEs1(xv301, xv4001, bad, bae)
new_esEs0(Just(xv300), Just(xv4000), app(app(app(ty_@3, cb), cc), cd)) → new_esEs3(xv300, xv4000, cb, cc, cd)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(ty_[], bbg)), bc) → new_esEs2(xv302, xv4002, bbg)
new_esEs1(Right(xv300), Right(xv4000), dh, app(app(ty_@2, ea), eb)) → new_esEs(xv300, xv4000, ea, eb)
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(app(ty_Either, bcg), bch)) → new_esEs1(xv31, xv401, bcg, bch)
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs3(xv31, xv401, bdb, bdc, bdd)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(ty_Maybe, ec)), bc) → new_esEs0(xv300, xv4000, ec)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, ha), gg, gh) → new_esEs0(xv300, xv4000, ha)
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], fh)) → new_esEs2(xv300, xv4000, fh)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(app(ty_@2, ea), eb)), bc) → new_esEs(xv300, xv4000, ea, eb)
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(app(ty_@2, bcd), bce)) → new_esEs(xv31, xv401, bcd, bce)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(ty_Maybe, bac)), gh), bc) → new_esEs0(xv301, xv4001, bac)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(ty_[], bbg)) → new_esEs2(xv302, xv4002, bbg)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(app(ty_Either, bbe), bbf)), bc) → new_esEs1(xv302, xv4002, bbe, bbf)
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_@2, ce), cf), cg) → new_esEs(xv300, xv4000, ce, cf)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(app(ty_@3, ga), gb), gc)), bc) → new_esEs3(xv300, xv4000, ga, gb, gc)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_@2, ce), cf)), cg), bc) → new_esEs(xv300, xv4000, ce, cf)
new_esEs0(Just(xv300), Just(xv4000), app(ty_[], ca)) → new_esEs2(xv300, xv4000, ca)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(app(app(ty_@3, bbh), bca), bcb)) → new_esEs3(xv302, xv4002, bbh, bca, bcb)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(app(ty_@2, baa), bab), gh) → new_esEs(xv301, xv4001, baa, bab)
new_esEs1(Left(xv300), Left(xv4000), app(ty_[], dd), cg) → new_esEs2(xv300, xv4000, dd)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(app(ty_@2, baa), bab)), gh), bc) → new_esEs(xv301, xv4001, baa, bab)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(app(ty_@2, bbb), bbc)), bc) → new_esEs(xv302, xv4002, bbb, bbc)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, ge), gf), gg, gh) → new_esEs(xv300, xv4000, ge, gf)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_Either, ff), fg)), bc) → new_esEs1(xv300, xv4000, ff, fg)
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_Maybe, ha)), gg), gh), bc) → new_esEs0(xv300, xv4000, ha)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(app(ty_@3, cb), cc), cd)), bc) → new_esEs3(xv300, xv4000, cb, cc, cd)
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(ty_Maybe, bcf)) → new_esEs0(xv31, xv401, bcf)
new_esEs1(Right(xv300), Right(xv4000), dh, app(app(ty_Either, ed), ee)) → new_esEs1(xv300, xv4000, ed, ee)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_Either, bg), bh)), bc) → new_esEs1(xv300, xv4000, bg, bh)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_[], dd)), cg), bc) → new_esEs2(xv300, xv4000, dd)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_@2, fb), fc)), bc) → new_esEs(xv300, xv4000, fb, fc)
new_esEs1(Left(xv300), Left(xv4000), app(ty_Maybe, da), cg) → new_esEs0(xv300, xv4000, da)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(app(ty_@3, de), df), dg)), cg), bc) → new_esEs3(xv300, xv4000, de, df, dg)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(app(app(ty_@3, bag), bah), bba), gh) → new_esEs3(xv301, xv4001, bag, bah, bba)
new_esEs0(Just(xv300), Just(xv4000), app(app(ty_@2, bd), be)) → new_esEs(xv300, xv4000, bd, be)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_Maybe, bf)), bc) → new_esEs0(xv300, xv4000, bf)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_Either, db), dc)), cg), bc) → new_esEs1(xv300, xv4000, db, dc)
new_esEs0(Just(xv300), Just(xv4000), app(app(ty_Either, bg), bh)) → new_esEs1(xv300, xv4000, bg, bh)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], gd), bc) → new_esEs2(xv301, xv4001, gd)
new_esEs1(Right(xv300), Right(xv4000), dh, app(app(app(ty_@3, eg), eh), fa)) → new_esEs3(xv300, xv4000, eg, eh, fa)
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, ff), fg)) → new_esEs1(xv300, xv4000, ff, fg)
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), gd) → new_esEs2(xv301, xv4001, gd)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(ty_[], baf), gh) → new_esEs2(xv301, xv4001, baf)
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, fb), fc)) → new_esEs(xv300, xv4000, fb, fc)
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_Maybe, da)), cg), bc) → new_esEs0(xv300, xv4000, da)
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_[], ca)), bc) → new_esEs2(xv300, xv4000, ca)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(ty_[], ef)), bc) → new_esEs2(xv300, xv4000, ef)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(app(ty_Either, bbe), bbf)) → new_esEs1(xv302, xv4002, bbe, bbf)
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(app(app(ty_@3, eg), eh), fa)), bc) → new_esEs3(xv300, xv4000, eg, eh, fa)
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_[], fh)), bc) → new_esEs2(xv300, xv4000, fh)
new_esEs1(Right(xv300), Right(xv4000), dh, app(ty_[], ef)) → new_esEs2(xv300, xv4000, ef)
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, ga), gb), gc)) → new_esEs3(xv300, xv4000, ga, gb, gc)
new_esEs1(Left(xv300), Left(xv4000), app(app(app(ty_@3, de), df), dg), cg) → new_esEs3(xv300, xv4000, de, df, dg)
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, he), hf), hg), gg, gh) → new_esEs3(xv300, xv4000, he, hf, hg)

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

new_esEs0(Just(xv300), Just(xv4000), app(app(ty_@2, bd), be)) → new_esEs(xv300, xv4000, bd, be)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Just(xv300), Just(xv4000), app(app(app(ty_@3, cb), cc), cd)) → new_esEs3(xv300, xv4000, cb, cc, cd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(Just(xv300), Just(xv4000), app(app(ty_Either, bg), bh)) → new_esEs1(xv300, xv4000, bg, bh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, fb), fc)) → new_esEs(xv300, xv4000, fb, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, ga), gb), gc)) → new_esEs3(xv300, xv4000, ga, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, ff), fg)) → new_esEs1(xv300, xv4000, ff, fg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Just(xv300), Just(xv4000), app(ty_Maybe, bf)) → new_esEs0(xv300, xv4000, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Just(xv300), Just(xv4000), app(ty_[], ca)) → new_esEs2(xv300, xv4000, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, fd)) → new_esEs0(xv300, xv4000, fd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, ba), bb), bc) → new_esEs(xv30, xv400, 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(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_@2, ge), gf)), gg), gh), bc) → new_esEs(xv300, xv4000, ge, gf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_@2, bd), be)), bc) → new_esEs(xv300, xv4000, bd, be)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(app(ty_@2, ea), eb)), bc) → new_esEs(xv300, xv4000, ea, eb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(app(ty_@2, bcd), bce)) → new_esEs(xv31, xv401, bcd, bce)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_@2, ce), cf)), cg), bc) → new_esEs(xv300, xv4000, ce, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(app(ty_@2, baa), bab)), gh), bc) → new_esEs(xv301, xv4001, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(app(ty_@2, bbb), bbc)), bc) → new_esEs(xv302, xv4002, bbb, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_@2, fb), fc)), bc) → new_esEs(xv300, xv4000, fb, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(app(app(ty_@3, bbh), bca), bcb)), bc) → new_esEs3(xv302, xv4002, bbh, bca, bcb)
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(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(app(ty_@3, he), hf), hg)), gg), gh), bc) → new_esEs3(xv300, xv4000, he, hf, hg)
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(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(app(app(ty_@3, bag), bah), bba)), gh), bc) → new_esEs3(xv301, xv4001, bag, bah, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs3(xv31, xv401, bdb, bdc, bdd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(app(ty_@3, ga), gb), gc)), bc) → new_esEs3(xv300, xv4000, ga, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(app(ty_@3, cb), cc), cd)), bc) → new_esEs3(xv300, xv4000, cb, cc, cd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(app(ty_@3, de), df), dg)), cg), bc) → new_esEs3(xv300, xv4000, de, df, dg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(app(app(ty_@3, eg), eh), fa)), bc) → new_esEs3(xv300, xv4000, eg, eh, fa)
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(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(app(ty_Either, hb), hc)), gg), gh), bc) → new_esEs1(xv300, xv4000, hb, hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(app(ty_Either, bad), bae)), gh), bc) → new_esEs1(xv301, xv4001, bad, bae)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(app(ty_Either, ed), ee)), bc) → new_esEs1(xv300, xv4000, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(app(ty_Either, bcg), bch)) → new_esEs1(xv31, xv401, bcg, bch)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(app(ty_Either, bbe), bbf)), bc) → new_esEs1(xv302, xv4002, bbe, bbf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(app(ty_Either, ff), fg)), bc) → new_esEs1(xv300, xv4000, ff, fg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(app(ty_Either, bg), bh)), bc) → new_esEs1(xv300, xv4000, bg, bh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(app(ty_Either, db), dc)), cg), bc) → new_esEs1(xv300, xv4000, 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(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(ty_Maybe, bbd)), bc) → new_esEs0(xv302, xv4002, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_Maybe, fd)), bc) → new_esEs0(xv300, xv4000, fd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(ty_Maybe, ec)), bc) → new_esEs0(xv300, xv4000, ec)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(ty_Maybe, bac)), gh), bc) → new_esEs0(xv301, xv4001, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_Maybe, ha)), gg), gh), bc) → new_esEs0(xv300, xv4000, ha)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(ty_Maybe, bcf)) → new_esEs0(xv31, xv401, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_Maybe, bf)), bc) → new_esEs0(xv300, xv4000, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_Maybe, da)), cg), bc) → new_esEs0(xv300, xv4000, da)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xv30, xv31), @2(xv400, xv401), bcc, app(ty_[], bda)) → new_esEs2(xv31, xv401, bda)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, app(ty_[], hd)), gg), gh), bc) → new_esEs2(xv300, xv4000, hd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), app(ty_[], baf)), gh), bc) → new_esEs2(xv301, xv4001, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(@3(xv300, xv301, xv302), xv31), @2(@3(xv4000, xv4001, xv4002), xv401), app(app(app(ty_@3, hh), gg), app(ty_[], bbg)), bc) → new_esEs2(xv302, xv4002, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Left(xv300), xv31), @2(Left(xv4000), xv401), app(app(ty_Either, app(ty_[], dd)), cg), bc) → new_esEs2(xv300, xv4000, dd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], gd), bc) → new_esEs2(xv301, xv4001, gd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Right(xv300), xv31), @2(Right(xv4000), xv401), app(app(ty_Either, dh), app(ty_[], ef)), bc) → new_esEs2(xv300, xv4000, ef)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(Just(xv300), xv31), @2(Just(xv4000), xv401), app(ty_Maybe, app(ty_[], ca)), bc) → new_esEs2(xv300, xv4000, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(:(xv300, xv301), xv31), @2(:(xv4000, xv4001), xv401), app(ty_[], app(ty_[], fh)), bc) → new_esEs2(xv300, xv4000, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Right(xv300), Right(xv4000), dh, app(app(ty_@2, ea), eb)) → new_esEs(xv300, xv4000, ea, eb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_@2, ce), cf), cg) → new_esEs(xv300, xv4000, ce, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(app(ty_@2, bbb), bbc)) → new_esEs(xv302, xv4002, bbb, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(app(ty_@2, baa), bab), gh) → new_esEs(xv301, xv4001, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, ge), gf), gg, gh) → new_esEs(xv300, xv4000, ge, gf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(Right(xv300), Right(xv4000), dh, app(app(app(ty_@3, eg), eh), fa)) → new_esEs3(xv300, xv4000, eg, eh, fa)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs1(Left(xv300), Left(xv4000), app(app(app(ty_@3, de), df), dg), cg) → new_esEs3(xv300, xv4000, de, df, dg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_Either, db), dc), cg) → new_esEs1(xv300, xv4000, db, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(Right(xv300), Right(xv4000), dh, app(app(ty_Either, ed), ee)) → new_esEs1(xv300, xv4000, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(Right(xv300), Right(xv4000), dh, app(ty_Maybe, ec)) → new_esEs0(xv300, xv4000, ec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(Left(xv300), Left(xv4000), app(ty_Maybe, da), cg) → new_esEs0(xv300, xv4000, da)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Left(xv300), Left(xv4000), app(ty_[], dd), cg) → new_esEs2(xv300, xv4000, dd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Right(xv300), Right(xv4000), dh, app(ty_[], ef)) → new_esEs2(xv300, xv4000, ef)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(app(app(ty_@3, bbh), bca), bcb)) → new_esEs3(xv302, xv4002, bbh, bca, bcb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(app(app(ty_@3, bag), bah), bba), gh) → new_esEs3(xv301, xv4001, bag, bah, bba)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, he), hf), hg), gg, gh) → new_esEs3(xv300, xv4000, he, hf, hg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, hb), hc), gg, gh) → new_esEs1(xv300, xv4000, hb, hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(app(ty_Either, bad), bae), gh) → new_esEs1(xv301, xv4001, bad, bae)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(app(ty_Either, bbe), bbf)) → new_esEs1(xv302, xv4002, bbe, bbf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], fh)) → new_esEs2(xv300, xv4000, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(:(xv300, xv301), :(xv4000, xv4001), gd) → new_esEs2(xv301, xv4001, gd)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(ty_Maybe, bac), gh) → new_esEs0(xv301, xv4001, bac)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(ty_Maybe, bbd)) → new_esEs0(xv302, xv4002, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, ha), gg, gh) → new_esEs0(xv300, xv4000, ha)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], hd), gg, gh) → new_esEs2(xv300, xv4000, hd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, gg, app(ty_[], bbg)) → new_esEs2(xv302, xv4002, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hh, app(ty_[], baf), gh) → new_esEs2(xv301, xv4001, baf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

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

new_foldr(xv3, :(xv40, xv41), ba, bb) → new_foldr(xv3, xv41, ba, bb)

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

new_foldr(xv3, :(xv40, xv41), ba, bb) → new_foldr(xv3, xv41, ba, bb)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4