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

YES 1.587 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

((elem :: Eq a => Maybe a -> [Maybe a] -> Bool) :: Eq a => Maybe a -> [Maybe a] -> Bool)

module Main where

import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule Main

((elem :: Eq a => Maybe a -> [Maybe a] -> Bool) :: Eq a => Maybe a -> [Maybe a] -> Bool)

module Main where

import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

mainModule Main

(elem :: Eq a => Maybe a -> [Maybe a] -> Bool)

module Main where

import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="elem\n  Eq a",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="elem xv3\n  Eq a",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="elem xv3 xv4\n  Eq a",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="any . (==)\n  Eq a",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="any ((==) xv3) xv4\n  Eq a",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
7[label="or . map ((==) xv3)\n  Eq a",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
8[label="or (map ((==) xv3) xv4)\n  Eq a",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9[label="foldr (||) False (map ((==) xv3) xv4)\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];677[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 677[label="",style="solid", color="burlywood", weight=9];
677 -> 10[label="",style="solid", color="burlywood", weight=3];
678[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 678[label="",style="solid", color="burlywood", weight=9];
678 -> 11[label="",style="solid", color="burlywood", weight=3];
10[label="foldr (||) False (map ((==) xv3) (xv40 : xv41))\n  Eq a",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
11[label="foldr (||) False (map ((==) xv3) [])\n  Eq a",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
12[label="foldr (||) False (((==) xv3 xv40) : map ((==) xv3) xv41)\n  Eq a",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
13[label="foldr (||) False []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3];
14 -> 31[label="",style="dashed", color="red", weight=0];
14[label="(||) (==) xv3 xv40 foldr (||) False (map ((==) xv3) xv41)\n  Eq a",fontsize=16,color="magenta"];14 -> 32[label="",style="dashed", color="magenta", weight=3];
14 -> 33[label="",style="dashed", color="magenta", weight=3];
15[label="False",fontsize=16,color="green",shape="box"];32 -> 9[label="",style="dashed", color="red", weight=0];
32[label="foldr (||) False (map ((==) xv3) xv41)\n  Eq a",fontsize=16,color="magenta"];32 -> 44[label="",style="dashed", color="magenta", weight=3];
33[label="(==) xv3 xv40\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];681[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];33 -> 681[label="",style="solid", color="burlywood", weight=9];
681 -> 45[label="",style="solid", color="burlywood", weight=3];
682[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];33 -> 682[label="",style="solid", color="burlywood", weight=9];
682 -> 46[label="",style="solid", color="burlywood", weight=3];
31[label="(||) xv9 xv10",fontsize=16,color="burlywood",shape="triangle"];683[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];31 -> 683[label="",style="solid", color="burlywood", weight=9];
683 -> 47[label="",style="solid", color="burlywood", weight=3];
684[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];31 -> 684[label="",style="solid", color="burlywood", weight=9];
684 -> 48[label="",style="solid", color="burlywood", weight=3];
44[label="xv41\n  Eq a",fontsize=16,color="green",shape="box"];45[label="(==) Nothing xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];685[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];45 -> 685[label="",style="solid", color="burlywood", weight=9];
685 -> 49[label="",style="solid", color="burlywood", weight=3];
686[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 686[label="",style="solid", color="burlywood", weight=9];
686 -> 50[label="",style="solid", color="burlywood", weight=3];
46[label="(==) Just xv30 xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];687[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];46 -> 687[label="",style="solid", color="burlywood", weight=9];
687 -> 51[label="",style="solid", color="burlywood", weight=3];
688[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];46 -> 688[label="",style="solid", color="burlywood", weight=9];
688 -> 52[label="",style="solid", color="burlywood", weight=3];
47[label="(||) False xv10",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3];
48[label="(||) True xv10",fontsize=16,color="black",shape="box"];48 -> 54[label="",style="solid", color="black", weight=3];
49[label="(==) Nothing Nothing\n  Eq a",fontsize=16,color="black",shape="box"];49 -> 55[label="",style="solid", color="black", weight=3];
50[label="(==) Nothing Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];50 -> 56[label="",style="solid", color="black", weight=3];
51[label="(==) Just xv30 Nothing\n  Eq a",fontsize=16,color="black",shape="box"];51 -> 57[label="",style="solid", color="black", weight=3];
52[label="(==) Just xv30 Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];52 -> 58[label="",style="solid", color="black", weight=3];
53[label="xv10",fontsize=16,color="green",shape="box"];54[label="True",fontsize=16,color="green",shape="box"];55[label="True",fontsize=16,color="green",shape="box"];56[label="False",fontsize=16,color="green",shape="box"];57[label="False",fontsize=16,color="green",shape="box"];58[label="xv30 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];689[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 689[label="",style="solid", color="blue", weight=9];
689 -> 59[label="",style="solid", color="blue", weight=3];
690[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 690[label="",style="solid", color="blue", weight=9];
690 -> 60[label="",style="solid", color="blue", weight=3];
691[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 691[label="",style="solid", color="blue", weight=9];
691 -> 61[label="",style="solid", color="blue", weight=3];
692[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 692[label="",style="solid", color="blue", weight=9];
692 -> 62[label="",style="solid", color="blue", weight=3];
693[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 693[label="",style="solid", color="blue", weight=9];
693 -> 63[label="",style="solid", color="blue", weight=3];
694[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 694[label="",style="solid", color="blue", weight=9];
694 -> 64[label="",style="solid", color="blue", weight=3];
695[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 695[label="",style="solid", color="blue", weight=9];
695 -> 65[label="",style="solid", color="blue", weight=3];
696[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 696[label="",style="solid", color="blue", weight=9];
696 -> 66[label="",style="solid", color="blue", weight=3];
697[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 697[label="",style="solid", color="blue", weight=9];
697 -> 67[label="",style="solid", color="blue", weight=3];
698[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 698[label="",style="solid", color="blue", weight=9];
698 -> 68[label="",style="solid", color="blue", weight=3];
699[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 699[label="",style="solid", color="blue", weight=9];
699 -> 69[label="",style="solid", color="blue", weight=3];
700[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 700[label="",style="solid", color="blue", weight=9];
700 -> 70[label="",style="solid", color="blue", weight=3];
701[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 701[label="",style="solid", color="blue", weight=9];
701 -> 71[label="",style="solid", color="blue", weight=3];
702[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 702[label="",style="solid", color="blue", weight=9];
702 -> 72[label="",style="solid", color="blue", weight=3];
59[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];703[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];59 -> 703[label="",style="solid", color="burlywood", weight=9];
703 -> 73[label="",style="solid", color="burlywood", weight=3];
704[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];59 -> 704[label="",style="solid", color="burlywood", weight=9];
704 -> 74[label="",style="solid", color="burlywood", weight=3];
705[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];59 -> 705[label="",style="solid", color="burlywood", weight=9];
705 -> 75[label="",style="solid", color="burlywood", weight=3];
60[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];706[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];60 -> 706[label="",style="solid", color="burlywood", weight=9];
706 -> 76[label="",style="solid", color="burlywood", weight=3];
707[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];60 -> 707[label="",style="solid", color="burlywood", weight=9];
707 -> 77[label="",style="solid", color="burlywood", weight=3];
61[label="xv30 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];708[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];61 -> 708[label="",style="solid", color="burlywood", weight=9];
708 -> 78[label="",style="solid", color="burlywood", weight=3];
62[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];62 -> 79[label="",style="solid", color="black", weight=3];
63[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];709[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];63 -> 709[label="",style="solid", color="burlywood", weight=9];
709 -> 80[label="",style="solid", color="burlywood", weight=3];
64[label="xv30 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];710[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];64 -> 710[label="",style="solid", color="burlywood", weight=9];
710 -> 81[label="",style="solid", color="burlywood", weight=3];
711[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];64 -> 711[label="",style="solid", color="burlywood", weight=9];
711 -> 82[label="",style="solid", color="burlywood", weight=3];
65[label="xv30 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];712[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];65 -> 712[label="",style="solid", color="burlywood", weight=9];
712 -> 83[label="",style="solid", color="burlywood", weight=3];
713[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];65 -> 713[label="",style="solid", color="burlywood", weight=9];
713 -> 84[label="",style="solid", color="burlywood", weight=3];
66[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];66 -> 85[label="",style="solid", color="black", weight=3];
67[label="xv30 == xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="triangle"];714[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];67 -> 714[label="",style="solid", color="burlywood", weight=9];
714 -> 86[label="",style="solid", color="burlywood", weight=3];
68[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];68 -> 87[label="",style="solid", color="black", weight=3];
69[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];715[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];69 -> 715[label="",style="solid", color="burlywood", weight=9];
715 -> 88[label="",style="solid", color="burlywood", weight=3];
70 -> 33[label="",style="dashed", color="red", weight=0];
70[label="xv30 == xv400\n  Eq a",fontsize=16,color="magenta"];70 -> 89[label="",style="dashed", color="magenta", weight=3];
70 -> 90[label="",style="dashed", color="magenta", weight=3];
71[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];71 -> 91[label="",style="solid", color="black", weight=3];
72[label="xv30 == xv400\n  Integral a",fontsize=16,color="burlywood",shape="triangle"];717[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];72 -> 717[label="",style="solid", color="burlywood", weight=9];
717 -> 92[label="",style="solid", color="burlywood", weight=3];
73[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];718[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];73 -> 718[label="",style="solid", color="burlywood", weight=9];
718 -> 93[label="",style="solid", color="burlywood", weight=3];
719[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];73 -> 719[label="",style="solid", color="burlywood", weight=9];
719 -> 94[label="",style="solid", color="burlywood", weight=3];
720[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];73 -> 720[label="",style="solid", color="burlywood", weight=9];
720 -> 95[label="",style="solid", color="burlywood", weight=3];
74[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];721[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];74 -> 721[label="",style="solid", color="burlywood", weight=9];
721 -> 96[label="",style="solid", color="burlywood", weight=3];
722[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];74 -> 722[label="",style="solid", color="burlywood", weight=9];
722 -> 97[label="",style="solid", color="burlywood", weight=3];
723[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];74 -> 723[label="",style="solid", color="burlywood", weight=9];
723 -> 98[label="",style="solid", color="burlywood", weight=3];
75[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];724[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];75 -> 724[label="",style="solid", color="burlywood", weight=9];
724 -> 99[label="",style="solid", color="burlywood", weight=3];
725[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];75 -> 725[label="",style="solid", color="burlywood", weight=9];
725 -> 100[label="",style="solid", color="burlywood", weight=3];
726[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];75 -> 726[label="",style="solid", color="burlywood", weight=9];
726 -> 101[label="",style="solid", color="burlywood", weight=3];
76[label="False == xv400",fontsize=16,color="burlywood",shape="box"];727[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];76 -> 727[label="",style="solid", color="burlywood", weight=9];
727 -> 102[label="",style="solid", color="burlywood", weight=3];
728[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];76 -> 728[label="",style="solid", color="burlywood", weight=9];
728 -> 103[label="",style="solid", color="burlywood", weight=3];
77[label="True == xv400",fontsize=16,color="burlywood",shape="box"];729[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];77 -> 729[label="",style="solid", color="burlywood", weight=9];
729 -> 104[label="",style="solid", color="burlywood", weight=3];
730[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];77 -> 730[label="",style="solid", color="burlywood", weight=9];
730 -> 105[label="",style="solid", color="burlywood", weight=3];
78[label="(xv300,xv301) == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];731[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];78 -> 731[label="",style="solid", color="burlywood", weight=9];
731 -> 106[label="",style="solid", color="burlywood", weight=3];
79[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];732[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];79 -> 732[label="",style="solid", color="burlywood", weight=9];
732 -> 107[label="",style="solid", color="burlywood", weight=3];
80[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];733[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];80 -> 733[label="",style="solid", color="burlywood", weight=9];
733 -> 108[label="",style="solid", color="burlywood", weight=3];
81[label="xv300 : xv301 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];734[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];81 -> 734[label="",style="solid", color="burlywood", weight=9];
734 -> 109[label="",style="solid", color="burlywood", weight=3];
735[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];81 -> 735[label="",style="solid", color="burlywood", weight=9];
735 -> 110[label="",style="solid", color="burlywood", weight=3];
82[label="[] == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];736[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];82 -> 736[label="",style="solid", color="burlywood", weight=9];
736 -> 111[label="",style="solid", color="burlywood", weight=3];
737[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];82 -> 737[label="",style="solid", color="burlywood", weight=9];
737 -> 112[label="",style="solid", color="burlywood", weight=3];
83[label="Left xv300 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];738[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];83 -> 738[label="",style="solid", color="burlywood", weight=9];
738 -> 113[label="",style="solid", color="burlywood", weight=3];
739[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];83 -> 739[label="",style="solid", color="burlywood", weight=9];
739 -> 114[label="",style="solid", color="burlywood", weight=3];
84[label="Right xv300 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];740[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];84 -> 740[label="",style="solid", color="burlywood", weight=9];
740 -> 115[label="",style="solid", color="burlywood", weight=3];
741[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];84 -> 741[label="",style="solid", color="burlywood", weight=9];
741 -> 116[label="",style="solid", color="burlywood", weight=3];
85[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];742[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];85 -> 742[label="",style="solid", color="burlywood", weight=9];
742 -> 117[label="",style="solid", color="burlywood", weight=3];
86[label="(xv300,xv301,xv302) == xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];743[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];86 -> 743[label="",style="solid", color="burlywood", weight=9];
743 -> 118[label="",style="solid", color="burlywood", weight=3];
87[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];744[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];87 -> 744[label="",style="solid", color="burlywood", weight=9];
744 -> 119[label="",style="solid", color="burlywood", weight=3];
745[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];87 -> 745[label="",style="solid", color="burlywood", weight=9];
745 -> 120[label="",style="solid", color="burlywood", weight=3];
88[label="() == xv400",fontsize=16,color="burlywood",shape="box"];746[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];88 -> 746[label="",style="solid", color="burlywood", weight=9];
746 -> 121[label="",style="solid", color="burlywood", weight=3];
89[label="xv30\n  Eq a",fontsize=16,color="green",shape="box"];90[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];91[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];747[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];91 -> 747[label="",style="solid", color="burlywood", weight=9];
747 -> 122[label="",style="solid", color="burlywood", weight=3];
92[label="xv300 :% xv301 == xv400\n  Integral a",fontsize=16,color="burlywood",shape="box"];748[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];92 -> 748[label="",style="solid", color="burlywood", weight=9];
748 -> 123[label="",style="solid", color="burlywood", weight=3];
93[label="LT == LT",fontsize=16,color="black",shape="box"];93 -> 124[label="",style="solid", color="black", weight=3];
94[label="LT == EQ",fontsize=16,color="black",shape="box"];94 -> 125[label="",style="solid", color="black", weight=3];
95[label="LT == GT",fontsize=16,color="black",shape="box"];95 -> 126[label="",style="solid", color="black", weight=3];
96[label="EQ == LT",fontsize=16,color="black",shape="box"];96 -> 127[label="",style="solid", color="black", weight=3];
97[label="EQ == EQ",fontsize=16,color="black",shape="box"];97 -> 128[label="",style="solid", color="black", weight=3];
98[label="EQ == GT",fontsize=16,color="black",shape="box"];98 -> 129[label="",style="solid", color="black", weight=3];
99[label="GT == LT",fontsize=16,color="black",shape="box"];99 -> 130[label="",style="solid", color="black", weight=3];
100[label="GT == EQ",fontsize=16,color="black",shape="box"];100 -> 131[label="",style="solid", color="black", weight=3];
101[label="GT == GT",fontsize=16,color="black",shape="box"];101 -> 132[label="",style="solid", color="black", weight=3];
102[label="False == False",fontsize=16,color="black",shape="box"];102 -> 133[label="",style="solid", color="black", weight=3];
103[label="False == True",fontsize=16,color="black",shape="box"];103 -> 134[label="",style="solid", color="black", weight=3];
104[label="True == False",fontsize=16,color="black",shape="box"];104 -> 135[label="",style="solid", color="black", weight=3];
105[label="True == True",fontsize=16,color="black",shape="box"];105 -> 136[label="",style="solid", color="black", weight=3];
106[label="(xv300,xv301) == (xv4000,xv4001)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];106 -> 137[label="",style="solid", color="black", weight=3];
107[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];749[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];107 -> 749[label="",style="solid", color="burlywood", weight=9];
749 -> 138[label="",style="solid", color="burlywood", weight=3];
108[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];108 -> 139[label="",style="solid", color="black", weight=3];
109[label="xv300 : xv301 == xv4000 : xv4001\n  Eq a",fontsize=16,color="black",shape="box"];109 -> 140[label="",style="solid", color="black", weight=3];
110[label="xv300 : xv301 == []\n  Eq a",fontsize=16,color="black",shape="box"];110 -> 141[label="",style="solid", color="black", weight=3];
111[label="[] == xv4000 : xv4001\n  Eq a",fontsize=16,color="black",shape="box"];111 -> 142[label="",style="solid", color="black", weight=3];
112[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];112 -> 143[label="",style="solid", color="black", weight=3];
113[label="Left xv300 == Left xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];113 -> 144[label="",style="solid", color="black", weight=3];
114[label="Left xv300 == Right xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];114 -> 145[label="",style="solid", color="black", weight=3];
115[label="Right xv300 == Left xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];115 -> 146[label="",style="solid", color="black", weight=3];
116[label="Right xv300 == Right xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];116 -> 147[label="",style="solid", color="black", weight=3];
117[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];750[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];117 -> 750[label="",style="solid", color="burlywood", weight=9];
750 -> 148[label="",style="solid", color="burlywood", weight=3];
118[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];118 -> 149[label="",style="solid", color="black", weight=3];
119[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];751[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];119 -> 751[label="",style="solid", color="burlywood", weight=9];
751 -> 150[label="",style="solid", color="burlywood", weight=3];
752[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];119 -> 752[label="",style="solid", color="burlywood", weight=9];
752 -> 151[label="",style="solid", color="burlywood", weight=3];
120[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];753[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];120 -> 753[label="",style="solid", color="burlywood", weight=9];
753 -> 152[label="",style="solid", color="burlywood", weight=3];
754[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];120 -> 754[label="",style="solid", color="burlywood", weight=9];
754 -> 153[label="",style="solid", color="burlywood", weight=3];
121[label="() == ()",fontsize=16,color="black",shape="box"];121 -> 154[label="",style="solid", color="black", weight=3];
122[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];755[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];122 -> 755[label="",style="solid", color="burlywood", weight=9];
755 -> 155[label="",style="solid", color="burlywood", weight=3];
123[label="xv300 :% xv301 == xv4000 :% xv4001\n  Integral a",fontsize=16,color="black",shape="box"];123 -> 156[label="",style="solid", color="black", weight=3];
124[label="True",fontsize=16,color="green",shape="box"];125[label="False",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="True",fontsize=16,color="green",shape="box"];129[label="False",fontsize=16,color="green",shape="box"];130[label="False",fontsize=16,color="green",shape="box"];131[label="False",fontsize=16,color="green",shape="box"];132[label="True",fontsize=16,color="green",shape="box"];133[label="True",fontsize=16,color="green",shape="box"];134[label="False",fontsize=16,color="green",shape="box"];135[label="False",fontsize=16,color="green",shape="box"];136[label="True",fontsize=16,color="green",shape="box"];137 -> 233[label="",style="dashed", color="red", weight=0];
137[label="xv300 == xv4000 && xv301 == xv4001\n  Eq a  Eq b",fontsize=16,color="magenta"];137 -> 234[label="",style="dashed", color="magenta", weight=3];
137 -> 235[label="",style="dashed", color="magenta", weight=3];
138[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];138 -> 167[label="",style="solid", color="black", weight=3];
139 -> 87[label="",style="dashed", color="red", weight=0];
139[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];139 -> 168[label="",style="dashed", color="magenta", weight=3];
139 -> 169[label="",style="dashed", color="magenta", weight=3];
140 -> 233[label="",style="dashed", color="red", weight=0];
140[label="xv300 == xv4000 && xv301 == xv4001\n  Eq a",fontsize=16,color="magenta"];140 -> 236[label="",style="dashed", color="magenta", weight=3];
140 -> 237[label="",style="dashed", color="magenta", weight=3];
141[label="False",fontsize=16,color="green",shape="box"];142[label="False",fontsize=16,color="green",shape="box"];143[label="True",fontsize=16,color="green",shape="box"];144[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];759[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 759[label="",style="solid", color="blue", weight=9];
759 -> 170[label="",style="solid", color="blue", weight=3];
760[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 760[label="",style="solid", color="blue", weight=9];
760 -> 171[label="",style="solid", color="blue", weight=3];
761[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 761[label="",style="solid", color="blue", weight=9];
761 -> 172[label="",style="solid", color="blue", weight=3];
762[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 762[label="",style="solid", color="blue", weight=9];
762 -> 173[label="",style="solid", color="blue", weight=3];
763[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 763[label="",style="solid", color="blue", weight=9];
763 -> 174[label="",style="solid", color="blue", weight=3];
764[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 764[label="",style="solid", color="blue", weight=9];
764 -> 175[label="",style="solid", color="blue", weight=3];
765[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 765[label="",style="solid", color="blue", weight=9];
765 -> 176[label="",style="solid", color="blue", weight=3];
766[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 766[label="",style="solid", color="blue", weight=9];
766 -> 177[label="",style="solid", color="blue", weight=3];
767[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 767[label="",style="solid", color="blue", weight=9];
767 -> 178[label="",style="solid", color="blue", weight=3];
768[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 768[label="",style="solid", color="blue", weight=9];
768 -> 179[label="",style="solid", color="blue", weight=3];
769[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 769[label="",style="solid", color="blue", weight=9];
769 -> 180[label="",style="solid", color="blue", weight=3];
770[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 770[label="",style="solid", color="blue", weight=9];
770 -> 181[label="",style="solid", color="blue", weight=3];
771[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 771[label="",style="solid", color="blue", weight=9];
771 -> 182[label="",style="solid", color="blue", weight=3];
772[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];144 -> 772[label="",style="solid", color="blue", weight=9];
772 -> 183[label="",style="solid", color="blue", weight=3];
145[label="False",fontsize=16,color="green",shape="box"];146[label="False",fontsize=16,color="green",shape="box"];147[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];773[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 773[label="",style="solid", color="blue", weight=9];
773 -> 184[label="",style="solid", color="blue", weight=3];
774[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 774[label="",style="solid", color="blue", weight=9];
774 -> 185[label="",style="solid", color="blue", weight=3];
775[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 775[label="",style="solid", color="blue", weight=9];
775 -> 186[label="",style="solid", color="blue", weight=3];
776[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 776[label="",style="solid", color="blue", weight=9];
776 -> 187[label="",style="solid", color="blue", weight=3];
777[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 777[label="",style="solid", color="blue", weight=9];
777 -> 188[label="",style="solid", color="blue", weight=3];
778[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 778[label="",style="solid", color="blue", weight=9];
778 -> 189[label="",style="solid", color="blue", weight=3];
779[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 779[label="",style="solid", color="blue", weight=9];
779 -> 190[label="",style="solid", color="blue", weight=3];
780[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 780[label="",style="solid", color="blue", weight=9];
780 -> 191[label="",style="solid", color="blue", weight=3];
781[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 781[label="",style="solid", color="blue", weight=9];
781 -> 192[label="",style="solid", color="blue", weight=3];
782[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 782[label="",style="solid", color="blue", weight=9];
782 -> 193[label="",style="solid", color="blue", weight=3];
783[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 783[label="",style="solid", color="blue", weight=9];
783 -> 194[label="",style="solid", color="blue", weight=3];
784[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 784[label="",style="solid", color="blue", weight=9];
784 -> 195[label="",style="solid", color="blue", weight=3];
785[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 785[label="",style="solid", color="blue", weight=9];
785 -> 196[label="",style="solid", color="blue", weight=3];
786[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];147 -> 786[label="",style="solid", color="blue", weight=9];
786 -> 197[label="",style="solid", color="blue", weight=3];
148[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];148 -> 198[label="",style="solid", color="black", weight=3];
149 -> 233[label="",style="dashed", color="red", weight=0];
149[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];149 -> 238[label="",style="dashed", color="magenta", weight=3];
149 -> 239[label="",style="dashed", color="magenta", weight=3];
150[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];788[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];150 -> 788[label="",style="solid", color="burlywood", weight=9];
788 -> 210[label="",style="solid", color="burlywood", weight=3];
789[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];150 -> 789[label="",style="solid", color="burlywood", weight=9];
789 -> 211[label="",style="solid", color="burlywood", weight=3];
151[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];790[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];151 -> 790[label="",style="solid", color="burlywood", weight=9];
790 -> 212[label="",style="solid", color="burlywood", weight=3];
791[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];151 -> 791[label="",style="solid", color="burlywood", weight=9];
791 -> 213[label="",style="solid", color="burlywood", weight=3];
152[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];792[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];152 -> 792[label="",style="solid", color="burlywood", weight=9];
792 -> 214[label="",style="solid", color="burlywood", weight=3];
793[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];152 -> 793[label="",style="solid", color="burlywood", weight=9];
793 -> 215[label="",style="solid", color="burlywood", weight=3];
153[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];794[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];153 -> 794[label="",style="solid", color="burlywood", weight=9];
794 -> 216[label="",style="solid", color="burlywood", weight=3];
795[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];153 -> 795[label="",style="solid", color="burlywood", weight=9];
795 -> 217[label="",style="solid", color="burlywood", weight=3];
154[label="True",fontsize=16,color="green",shape="box"];155[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];155 -> 218[label="",style="solid", color="black", weight=3];
156 -> 233[label="",style="dashed", color="red", weight=0];
156[label="xv300 == xv4000 && xv301 == xv4001\n  Integral a",fontsize=16,color="magenta"];156 -> 240[label="",style="dashed", color="magenta", weight=3];
156 -> 241[label="",style="dashed", color="magenta", weight=3];
234[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];797[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 797[label="",style="solid", color="blue", weight=9];
797 -> 246[label="",style="solid", color="blue", weight=3];
798[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 798[label="",style="solid", color="blue", weight=9];
798 -> 247[label="",style="solid", color="blue", weight=3];
799[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 799[label="",style="solid", color="blue", weight=9];
799 -> 248[label="",style="solid", color="blue", weight=3];
800[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 800[label="",style="solid", color="blue", weight=9];
800 -> 249[label="",style="solid", color="blue", weight=3];
801[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 801[label="",style="solid", color="blue", weight=9];
801 -> 250[label="",style="solid", color="blue", weight=3];
802[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 802[label="",style="solid", color="blue", weight=9];
802 -> 251[label="",style="solid", color="blue", weight=3];
803[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 803[label="",style="solid", color="blue", weight=9];
803 -> 252[label="",style="solid", color="blue", weight=3];
804[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 804[label="",style="solid", color="blue", weight=9];
804 -> 253[label="",style="solid", color="blue", weight=3];
805[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 805[label="",style="solid", color="blue", weight=9];
805 -> 254[label="",style="solid", color="blue", weight=3];
806[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 806[label="",style="solid", color="blue", weight=9];
806 -> 255[label="",style="solid", color="blue", weight=3];
807[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 807[label="",style="solid", color="blue", weight=9];
807 -> 256[label="",style="solid", color="blue", weight=3];
808[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 808[label="",style="solid", color="blue", weight=9];
808 -> 257[label="",style="solid", color="blue", weight=3];
809[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 809[label="",style="solid", color="blue", weight=9];
809 -> 258[label="",style="solid", color="blue", weight=3];
810[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 810[label="",style="solid", color="blue", weight=9];
810 -> 259[label="",style="solid", color="blue", weight=3];
235[label="xv301 == xv4001\n  Eq a",fontsize=16,color="blue",shape="box"];811[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 811[label="",style="solid", color="blue", weight=9];
811 -> 260[label="",style="solid", color="blue", weight=3];
812[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 812[label="",style="solid", color="blue", weight=9];
812 -> 261[label="",style="solid", color="blue", weight=3];
813[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 813[label="",style="solid", color="blue", weight=9];
813 -> 262[label="",style="solid", color="blue", weight=3];
814[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 814[label="",style="solid", color="blue", weight=9];
814 -> 263[label="",style="solid", color="blue", weight=3];
815[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 815[label="",style="solid", color="blue", weight=9];
815 -> 264[label="",style="solid", color="blue", weight=3];
816[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 816[label="",style="solid", color="blue", weight=9];
816 -> 265[label="",style="solid", color="blue", weight=3];
817[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 817[label="",style="solid", color="blue", weight=9];
817 -> 266[label="",style="solid", color="blue", weight=3];
818[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 818[label="",style="solid", color="blue", weight=9];
818 -> 267[label="",style="solid", color="blue", weight=3];
819[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 819[label="",style="solid", color="blue", weight=9];
819 -> 268[label="",style="solid", color="blue", weight=3];
820[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];235 -> 820[label="",style="solid", color="blue", weight=9];
820 -> 269[label="",style="solid", color="blue", weight=3];
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829[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 829[label="",style="solid", color="blue", weight=9];
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830 -> 280[label="",style="solid", color="blue", weight=3];
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832[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 832[label="",style="solid", color="blue", weight=9];
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835[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 835[label="",style="solid", color="blue", weight=9];
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837[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 837[label="",style="solid", color="blue", weight=9];
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838[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 838[label="",style="solid", color="blue", weight=9];
838 -> 288[label="",style="solid", color="blue", weight=3];
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840[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 840[label="",style="solid", color="blue", weight=9];
840 -> 290[label="",style="solid", color="blue", weight=3];
841[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 841[label="",style="solid", color="blue", weight=9];
841 -> 291[label="",style="solid", color="blue", weight=3];
237 -> 64[label="",style="dashed", color="red", weight=0];
237[label="xv301 == xv4001\n  Eq a",fontsize=16,color="magenta"];237 -> 292[label="",style="dashed", color="magenta", weight=3];
237 -> 293[label="",style="dashed", color="magenta", weight=3];
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180 -> 315[label="",style="dashed", color="magenta", weight=3];
181 -> 33[label="",style="dashed", color="red", weight=0];
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181 -> 317[label="",style="dashed", color="magenta", weight=3];
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182 -> 319[label="",style="dashed", color="magenta", weight=3];
183 -> 72[label="",style="dashed", color="red", weight=0];
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183 -> 321[label="",style="dashed", color="magenta", weight=3];
184 -> 59[label="",style="dashed", color="red", weight=0];
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184 -> 323[label="",style="dashed", color="magenta", weight=3];
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197 -> 349[label="",style="dashed", color="magenta", weight=3];
198 -> 68[label="",style="dashed", color="red", weight=0];
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874 -> 354[label="",style="solid", color="blue", weight=3];
875[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 875[label="",style="solid", color="blue", weight=9];
875 -> 355[label="",style="solid", color="blue", weight=3];
876[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 876[label="",style="solid", color="blue", weight=9];
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878[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 878[label="",style="solid", color="blue", weight=9];
878 -> 358[label="",style="solid", color="blue", weight=3];
879[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 879[label="",style="solid", color="blue", weight=9];
879 -> 359[label="",style="solid", color="blue", weight=3];
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880 -> 360[label="",style="solid", color="blue", weight=3];
881[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 881[label="",style="solid", color="blue", weight=9];
881 -> 361[label="",style="solid", color="blue", weight=3];
882[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 882[label="",style="solid", color="blue", weight=9];
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884[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 884[label="",style="solid", color="blue", weight=9];
884 -> 364[label="",style="solid", color="blue", weight=3];
885[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 885[label="",style="solid", color="blue", weight=9];
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887 -> 368[label="",style="solid", color="burlywood", weight=3];
888[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];210 -> 888[label="",style="solid", color="burlywood", weight=9];
888 -> 369[label="",style="solid", color="burlywood", weight=3];
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892[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];213 -> 892[label="",style="solid", color="burlywood", weight=9];
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893 -> 376[label="",style="solid", color="burlywood", weight=3];
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273 -> 443[label="",style="dashed", color="magenta", weight=3];
274[label="False && xv23",fontsize=16,color="black",shape="box"];274 -> 444[label="",style="solid", color="black", weight=3];
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550[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];550 -> 624[label="",style="solid", color="black", weight=3];
551[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];551 -> 625[label="",style="solid", color="black", weight=3];
552[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];552 -> 626[label="",style="solid", color="black", weight=3];
553[label="xv300",fontsize=16,color="green",shape="box"];554[label="xv4000",fontsize=16,color="green",shape="box"];555[label="xv300",fontsize=16,color="green",shape="box"];556[label="xv4000",fontsize=16,color="green",shape="box"];557[label="xv301",fontsize=16,color="green",shape="box"];558[label="xv4001",fontsize=16,color="green",shape="box"];559[label="xv301",fontsize=16,color="green",shape="box"];560[label="xv4001",fontsize=16,color="green",shape="box"];561[label="primMulInt (Pos xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];1032[label="xv4000/Pos xv40000",fontsize=10,color="white",style="solid",shape="box"];561 -> 1032[label="",style="solid", color="burlywood", weight=9];
1032 -> 627[label="",style="solid", color="burlywood", weight=3];
1033[label="xv4000/Neg xv40000",fontsize=10,color="white",style="solid",shape="box"];561 -> 1033[label="",style="solid", color="burlywood", weight=9];
1033 -> 628[label="",style="solid", color="burlywood", weight=3];
562[label="primMulInt (Neg xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];1034[label="xv4000/Pos xv40000",fontsize=10,color="white",style="solid",shape="box"];562 -> 1034[label="",style="solid", color="burlywood", weight=9];
1034 -> 629[label="",style="solid", color="burlywood", weight=3];
1035[label="xv4000/Neg xv40000",fontsize=10,color="white",style="solid",shape="box"];562 -> 1035[label="",style="solid", color="burlywood", weight=9];
1035 -> 630[label="",style="solid", color="burlywood", weight=3];
563[label="xv301",fontsize=16,color="green",shape="box"];564[label="xv4001",fontsize=16,color="green",shape="box"];565[label="xv301",fontsize=16,color="green",shape="box"];566[label="xv4001",fontsize=16,color="green",shape="box"];567[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];568[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];569[label="xv301",fontsize=16,color="green",shape="box"];570[label="xv4001",fontsize=16,color="green",shape="box"];571[label="xv301",fontsize=16,color="green",shape="box"];572[label="xv4001",fontsize=16,color="green",shape="box"];573[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];574[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];575[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];576[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];577[label="xv301",fontsize=16,color="green",shape="box"];578[label="xv4001",fontsize=16,color="green",shape="box"];579[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];580[label="xv4001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];581[label="xv301",fontsize=16,color="green",shape="box"];582[label="xv4001",fontsize=16,color="green",shape="box"];583[label="xv301",fontsize=16,color="green",shape="box"];584[label="xv4001",fontsize=16,color="green",shape="box"];585[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];586[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];587[label="xv301",fontsize=16,color="green",shape="box"];588[label="xv4001",fontsize=16,color="green",shape="box"];589[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];590[label="xv4001\n  Integral a",fontsize=16,color="green",shape="box"];591[label="xv302",fontsize=16,color="green",shape="box"];592[label="xv4002",fontsize=16,color="green",shape="box"];593[label="xv302",fontsize=16,color="green",shape="box"];594[label="xv4002",fontsize=16,color="green",shape="box"];595[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];596[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];597[label="xv302",fontsize=16,color="green",shape="box"];598[label="xv4002",fontsize=16,color="green",shape="box"];599[label="xv302",fontsize=16,color="green",shape="box"];600[label="xv4002",fontsize=16,color="green",shape="box"];601[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];602[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];603[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];604[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];605[label="xv302",fontsize=16,color="green",shape="box"];606[label="xv4002",fontsize=16,color="green",shape="box"];607[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];608[label="xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];609[label="xv302",fontsize=16,color="green",shape="box"];610[label="xv4002",fontsize=16,color="green",shape="box"];611[label="xv302",fontsize=16,color="green",shape="box"];612[label="xv4002",fontsize=16,color="green",shape="box"];613[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];614[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];615[label="xv302",fontsize=16,color="green",shape="box"];616[label="xv4002",fontsize=16,color="green",shape="box"];617[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];618[label="xv4002\n  Integral a",fontsize=16,color="green",shape="box"];619[label="xv40000",fontsize=16,color="green",shape="box"];620[label="xv3000",fontsize=16,color="green",shape="box"];621[label="xv40000",fontsize=16,color="green",shape="box"];622[label="xv3000",fontsize=16,color="green",shape="box"];623 -> 218[label="",style="dashed", color="red", weight=0];
623[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];623 -> 631[label="",style="dashed", color="magenta", weight=3];
623 -> 632[label="",style="dashed", color="magenta", weight=3];
624[label="False",fontsize=16,color="green",shape="box"];625[label="False",fontsize=16,color="green",shape="box"];626[label="True",fontsize=16,color="green",shape="box"];627[label="primMulInt (Pos xv3000) (Pos xv40000)",fontsize=16,color="black",shape="box"];627 -> 633[label="",style="solid", color="black", weight=3];
628[label="primMulInt (Pos xv3000) (Neg xv40000)",fontsize=16,color="black",shape="box"];628 -> 634[label="",style="solid", color="black", weight=3];
629[label="primMulInt (Neg xv3000) (Pos xv40000)",fontsize=16,color="black",shape="box"];629 -> 635[label="",style="solid", color="black", weight=3];
630[label="primMulInt (Neg xv3000) (Neg xv40000)",fontsize=16,color="black",shape="box"];630 -> 636[label="",style="solid", color="black", weight=3];
631[label="xv40000",fontsize=16,color="green",shape="box"];632[label="xv3000",fontsize=16,color="green",shape="box"];633[label="Pos (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];633 -> 637[label="",style="dashed", color="green", weight=3];
634[label="Neg (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];634 -> 638[label="",style="dashed", color="green", weight=3];
635[label="Neg (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];635 -> 639[label="",style="dashed", color="green", weight=3];
636[label="Pos (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];636 -> 640[label="",style="dashed", color="green", weight=3];
637[label="primMulNat xv3000 xv40000",fontsize=16,color="burlywood",shape="triangle"];1037[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];637 -> 1037[label="",style="solid", color="burlywood", weight=9];
1037 -> 641[label="",style="solid", color="burlywood", weight=3];
1038[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];637 -> 1038[label="",style="solid", color="burlywood", weight=9];
1038 -> 642[label="",style="solid", color="burlywood", weight=3];
638 -> 637[label="",style="dashed", color="red", weight=0];
638[label="primMulNat xv3000 xv40000",fontsize=16,color="magenta"];638 -> 643[label="",style="dashed", color="magenta", weight=3];
639 -> 637[label="",style="dashed", color="red", weight=0];
639[label="primMulNat xv3000 xv40000",fontsize=16,color="magenta"];639 -> 644[label="",style="dashed", color="magenta", weight=3];
640 -> 637[label="",style="dashed", color="red", weight=0];
640[label="primMulNat xv3000 xv40000",fontsize=16,color="magenta"];640 -> 645[label="",style="dashed", color="magenta", weight=3];
640 -> 646[label="",style="dashed", color="magenta", weight=3];
641[label="primMulNat (Succ xv30000) xv40000",fontsize=16,color="burlywood",shape="box"];1042[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];641 -> 1042[label="",style="solid", color="burlywood", weight=9];
1042 -> 647[label="",style="solid", color="burlywood", weight=3];
1043[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];641 -> 1043[label="",style="solid", color="burlywood", weight=9];
1043 -> 648[label="",style="solid", color="burlywood", weight=3];
642[label="primMulNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];1044[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];642 -> 1044[label="",style="solid", color="burlywood", weight=9];
1044 -> 649[label="",style="solid", color="burlywood", weight=3];
1045[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];642 -> 1045[label="",style="solid", color="burlywood", weight=9];
1045 -> 650[label="",style="solid", color="burlywood", weight=3];
643[label="xv40000",fontsize=16,color="green",shape="box"];644[label="xv3000",fontsize=16,color="green",shape="box"];645[label="xv3000",fontsize=16,color="green",shape="box"];646[label="xv40000",fontsize=16,color="green",shape="box"];647[label="primMulNat (Succ xv30000) (Succ xv400000)",fontsize=16,color="black",shape="box"];647 -> 651[label="",style="solid", color="black", weight=3];
648[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];648 -> 652[label="",style="solid", color="black", weight=3];
649[label="primMulNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];649 -> 653[label="",style="solid", color="black", weight=3];
650[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];650 -> 654[label="",style="solid", color="black", weight=3];
651 -> 655[label="",style="dashed", color="red", weight=0];
651[label="primPlusNat (primMulNat xv30000 (Succ xv400000)) (Succ xv400000)",fontsize=16,color="magenta"];651 -> 656[label="",style="dashed", color="magenta", weight=3];
652[label="Zero",fontsize=16,color="green",shape="box"];653[label="Zero",fontsize=16,color="green",shape="box"];654[label="Zero",fontsize=16,color="green",shape="box"];656 -> 637[label="",style="dashed", color="red", weight=0];
656[label="primMulNat xv30000 (Succ xv400000)",fontsize=16,color="magenta"];656 -> 657[label="",style="dashed", color="magenta", weight=3];
656 -> 658[label="",style="dashed", color="magenta", weight=3];
655[label="primPlusNat xv24 (Succ xv400000)",fontsize=16,color="burlywood",shape="triangle"];1048[label="xv24/Succ xv240",fontsize=10,color="white",style="solid",shape="box"];655 -> 1048[label="",style="solid", color="burlywood", weight=9];
1048 -> 659[label="",style="solid", color="burlywood", weight=3];
1049[label="xv24/Zero",fontsize=10,color="white",style="solid",shape="box"];655 -> 1049[label="",style="solid", color="burlywood", weight=9];
1049 -> 660[label="",style="solid", color="burlywood", weight=3];
657[label="xv30000",fontsize=16,color="green",shape="box"];658[label="Succ xv400000",fontsize=16,color="green",shape="box"];659[label="primPlusNat (Succ xv240) (Succ xv400000)",fontsize=16,color="black",shape="box"];659 -> 661[label="",style="solid", color="black", weight=3];
660[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];660 -> 662[label="",style="solid", color="black", weight=3];
661[label="Succ (Succ (primPlusNat xv240 xv400000))",fontsize=16,color="green",shape="box"];661 -> 663[label="",style="dashed", color="green", weight=3];
662[label="Succ xv400000",fontsize=16,color="green",shape="box"];663[label="primPlusNat xv240 xv400000",fontsize=16,color="burlywood",shape="triangle"];1050[label="xv240/Succ xv2400",fontsize=10,color="white",style="solid",shape="box"];663 -> 1050[label="",style="solid", color="burlywood", weight=9];
1050 -> 664[label="",style="solid", color="burlywood", weight=3];
1051[label="xv240/Zero",fontsize=10,color="white",style="solid",shape="box"];663 -> 1051[label="",style="solid", color="burlywood", weight=9];
1051 -> 665[label="",style="solid", color="burlywood", weight=3];
664[label="primPlusNat (Succ xv2400) xv400000",fontsize=16,color="burlywood",shape="box"];1052[label="xv400000/Succ xv4000000",fontsize=10,color="white",style="solid",shape="box"];664 -> 1052[label="",style="solid", color="burlywood", weight=9];
1052 -> 666[label="",style="solid", color="burlywood", weight=3];
1053[label="xv400000/Zero",fontsize=10,color="white",style="solid",shape="box"];664 -> 1053[label="",style="solid", color="burlywood", weight=9];
1053 -> 667[label="",style="solid", color="burlywood", weight=3];
665[label="primPlusNat Zero xv400000",fontsize=16,color="burlywood",shape="box"];1054[label="xv400000/Succ xv4000000",fontsize=10,color="white",style="solid",shape="box"];665 -> 1054[label="",style="solid", color="burlywood", weight=9];
1054 -> 668[label="",style="solid", color="burlywood", weight=3];
1055[label="xv400000/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 1055[label="",style="solid", color="burlywood", weight=9];
1055 -> 669[label="",style="solid", color="burlywood", weight=3];
666[label="primPlusNat (Succ xv2400) (Succ xv4000000)",fontsize=16,color="black",shape="box"];666 -> 670[label="",style="solid", color="black", weight=3];
667[label="primPlusNat (Succ xv2400) Zero",fontsize=16,color="black",shape="box"];667 -> 671[label="",style="solid", color="black", weight=3];
668[label="primPlusNat Zero (Succ xv4000000)",fontsize=16,color="black",shape="box"];668 -> 672[label="",style="solid", color="black", weight=3];
669[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];669 -> 673[label="",style="solid", color="black", weight=3];
670[label="Succ (Succ (primPlusNat xv2400 xv4000000))",fontsize=16,color="green",shape="box"];670 -> 674[label="",style="dashed", color="green", weight=3];
671[label="Succ xv2400",fontsize=16,color="green",shape="box"];672[label="Succ xv4000000",fontsize=16,color="green",shape="box"];673[label="Zero",fontsize=16,color="green",shape="box"];674 -> 663[label="",style="dashed", color="red", weight=0];
674[label="primPlusNat xv2400 xv4000000",fontsize=16,color="magenta"];674 -> 675[label="",style="dashed", color="magenta", weight=3];
674 -> 676[label="",style="dashed", color="magenta", weight=3];
675[label="xv4000000",fontsize=16,color="green",shape="box"];676[label="xv2400",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(xv2400), Succ(xv4000000)) → new_primPlusNat(xv2400, xv4000000)

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(xv2400), Succ(xv4000000)) → new_primPlusNat(xv2400, xv4000000)
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(xv30000), Succ(xv400000)) → new_primMulNat(xv30000, Succ(xv400000))

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

new_primMulNat(Succ(xv30000), Succ(xv400000)) → new_primMulNat(xv30000, Succ(xv400000))
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(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, ba), bb), bc) → new_esEs(xv300, xv4000, ba, bb)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], bd), bc) → new_esEs0(xv300, xv4000, bd)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(app(ty_Either, cg), da))) → new_esEs1(xv301, xv4001, cg, da)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, bad), bae), baf)), hg), hh)) → new_esEs2(xv300, xv4000, bad, bae, baf)
new_esEs1(Right(xv300), Right(xv4000), gc, app(ty_Maybe, hd)) → new_esEs3(xv300, xv4000, hd)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(ty_[], bcd)) → new_esEs0(xv302, xv4002, bcd)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(app(ty_Either, bce), bcf))) → new_esEs1(xv302, xv4002, bce, bcf)
new_esEs1(Left(xv300), Left(xv4000), app(ty_[], fc), fb) → new_esEs0(xv300, xv4000, fc)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, cb), bc) → new_esEs3(xv300, xv4000, cb)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(ty_Maybe, bdb)) → new_esEs3(xv302, xv4002, bdb)
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, fd), ff)), fb)) → new_esEs1(xv300, xv4000, fd, ff)
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_Either, fd), ff), fb) → new_esEs1(xv300, xv4000, fd, ff)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, bg), bh), ca)), bc)) → new_esEs2(xv300, xv4000, bg, bh, ca)
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], dh))) → new_esEs0(xv300, xv4000, dh)
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(ty_[], gf))) → new_esEs0(xv300, xv4000, gf)
new_esEs1(Right(xv300), Right(xv4000), gc, app(app(ty_@2, gd), ge)) → new_esEs(xv300, xv4000, gd, ge)
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(app(ty_Either, gg), gh))) → new_esEs1(xv300, xv4000, gg, gh)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, he), hf)), hg), hh)) → new_esEs(xv300, xv4000, he, hf)
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, eh), fa)), fb)) → new_esEs(xv300, xv4000, eh, fa)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, cb)), bc)) → new_esEs3(xv300, xv4000, cb)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(app(ty_Either, cg), da)) → new_esEs1(xv301, xv4001, cg, da)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(ty_[], cf)) → new_esEs0(xv301, xv4001, cf)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(app(ty_@2, cd), ce)) → new_esEs(xv301, xv4001, cd, ce)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(ty_[], bcd))) → new_esEs0(xv302, xv4002, bcd)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, bg), bh), ca), bc) → new_esEs2(xv300, xv4000, bg, bh, ca)
new_esEs1(Left(xv300), Left(xv4000), app(ty_Maybe, gb), fb) → new_esEs3(xv300, xv4000, gb)
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_@2, eh), fa), fb) → new_esEs(xv300, xv4000, eh, fa)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, he), hf), hg, hh) → new_esEs(xv300, xv4000, he, hf)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, be), bf)), bc)) → new_esEs1(xv300, xv4000, be, bf)
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], fc)), fb)) → new_esEs0(xv300, xv4000, fc)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], baa), hg, hh) → new_esEs0(xv300, xv4000, baa)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(app(app(ty_@3, bcg), bch), bda))) → new_esEs2(xv302, xv4002, bcg, bch, bda)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(ty_[], bbc), hh) → new_esEs0(xv301, xv4001, bbc)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(app(ty_@2, bcb), bcc))) → new_esEs(xv302, xv4002, bcb, bcc)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], baa)), hg), hh)) → new_esEs0(xv300, xv4000, baa)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, be), bf), bc) → new_esEs1(xv300, xv4000, be, bf)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(app(ty_Either, bbd), bbe)), hh)) → new_esEs1(xv301, xv4001, bbd, bbe)
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), eg) → new_esEs0(xv301, xv4001, eg)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(app(app(ty_@3, bcg), bch), bda)) → new_esEs2(xv302, xv4002, bcg, bch, bda)
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, fg), fh), ga)), fb)) → new_esEs2(xv300, xv4000, fg, fh, ga)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(app(ty_Either, bce), bcf)) → new_esEs1(xv302, xv4002, bce, bcf)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(app(app(ty_@3, db), dc), dd))) → new_esEs2(xv301, xv4001, db, dc, dd)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bad), bae), baf), hg, hh) → new_esEs2(xv300, xv4000, bad, bae, baf)
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, ef)) → new_esEs3(xv300, xv4000, ef)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, bag)), hg), hh)) → new_esEs3(xv300, xv4000, bag)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(ty_Maybe, bca), hh) → new_esEs3(xv301, xv4001, bca)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(app(ty_@2, bba), bbb)), hh)) → new_esEs(xv301, xv4001, bba, bbb)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(ty_Maybe, de))) → new_esEs3(xv301, xv4001, de)
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, df), dg))) → new_esEs(xv300, xv4000, df, dg)
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, ec), ed), ee)) → new_esEs2(xv300, xv4000, ec, ed, ee)
new_esEs1(Right(xv300), Right(xv4000), gc, app(ty_[], gf)) → new_esEs0(xv300, xv4000, gf)
new_esEs1(Right(xv300), Right(xv4000), gc, app(app(ty_Either, gg), gh)) → new_esEs1(xv300, xv4000, gg, gh)
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, ef))) → new_esEs3(xv300, xv4000, ef)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(ty_Maybe, de)) → new_esEs3(xv301, xv4001, de)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(ty_Maybe, bca)), hh)) → new_esEs3(xv301, xv4001, bca)
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(app(app(ty_@3, db), dc), dd)) → new_esEs2(xv301, xv4001, db, dc, dd)
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, gb)), fb)) → new_esEs3(xv300, xv4000, gb)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(app(ty_@2, cd), ce))) → new_esEs(xv301, xv4001, cd, ce)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(app(ty_Either, bbd), bbe), hh) → new_esEs1(xv301, xv4001, bbd, bbe)
new_esEs1(Left(xv300), Left(xv4000), app(app(app(ty_@3, fg), fh), ga), fb) → new_esEs2(xv300, xv4000, fg, fh, ga)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(ty_[], bbc)), hh)) → new_esEs0(xv301, xv4001, bbc)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(ty_Maybe, bdb))) → new_esEs3(xv302, xv4002, bdb)
new_esEs1(Right(xv300), Right(xv4000), gc, app(app(app(ty_@3, ha), hb), hc)) → new_esEs2(xv300, xv4000, ha, hb, hc)
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(app(app(ty_@3, ha), hb), hc))) → new_esEs2(xv300, xv4000, ha, hb, hc)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(app(app(ty_@3, bbf), bbg), bbh), hh) → new_esEs2(xv301, xv4001, bbf, bbg, bbh)
new_esEs3(Just(xv30), Just(xv400), app(ty_Maybe, bdc)) → new_esEs3(xv30, xv400, bdc)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bag), hg, hh) → new_esEs3(xv300, xv4000, bag)
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, ea), eb)) → new_esEs1(xv300, xv4000, ea, eb)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bab), bac), hg, hh) → new_esEs1(xv300, xv4000, bab, bac)
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(ty_Maybe, hd))) → new_esEs3(xv300, xv4000, hd)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, bab), bac)), hg), hh)) → new_esEs1(xv300, xv4000, bab, bac)
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, df), dg)) → new_esEs(xv300, xv4000, df, dg)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(app(ty_@2, bba), bbb), hh) → new_esEs(xv301, xv4001, bba, bbb)
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(app(ty_@2, gd), ge))) → new_esEs(xv300, xv4000, gd, ge)
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(app(app(ty_@3, bbf), bbg), bbh)), hh)) → new_esEs2(xv301, xv4001, bbf, bbg, bbh)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, ba), bb)), bc)) → new_esEs(xv300, xv4000, ba, bb)
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], dh)) → new_esEs0(xv300, xv4000, dh)
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], eg)) → new_esEs0(xv301, xv4001, eg)
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(app(ty_@2, bcb), bcc)) → new_esEs(xv302, xv4002, bcb, bcc)
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, ec), ed), ee))) → new_esEs2(xv300, xv4000, ec, ed, ee)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], bd)), bc)) → new_esEs0(xv300, xv4000, bd)
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(ty_[], cf))) → new_esEs0(xv301, xv4001, cf)
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, ea), eb))) → new_esEs1(xv300, xv4000, ea, eb)

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

new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, df), dg)) → new_esEs(xv300, xv4000, df, dg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, ef)) → new_esEs3(xv300, xv4000, ef)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, ea), eb)) → new_esEs1(xv300, xv4000, ea, eb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, ec), ed), ee)) → new_esEs2(xv300, xv4000, ec, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, ba), bb), bc) → new_esEs(xv300, xv4000, ba, bb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(app(ty_@2, cd), ce)) → new_esEs(xv301, xv4001, cd, ce)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, cb), bc) → new_esEs3(xv300, xv4000, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(ty_Maybe, de)) → new_esEs3(xv301, xv4001, de)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(app(ty_Either, cg), da)) → new_esEs1(xv301, xv4001, cg, da)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, be), bf), bc) → new_esEs1(xv300, xv4000, be, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, bg), bh), ca), bc) → new_esEs2(xv300, xv4000, bg, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(app(app(ty_@3, db), dc), dd)) → new_esEs2(xv301, xv4001, db, dc, dd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], bd), bc) → new_esEs0(xv300, xv4000, bd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xv300, xv301), @2(xv4000, xv4001), cc, app(ty_[], cf)) → new_esEs0(xv301, xv4001, cf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(Right(xv300), Right(xv4000), gc, app(app(ty_@2, gd), ge)) → new_esEs(xv300, xv4000, gd, ge)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_@2, eh), fa), fb) → new_esEs(xv300, xv4000, eh, fa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, he), hf), hg, hh) → new_esEs(xv300, xv4000, he, hf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(app(ty_@2, bba), bbb), hh) → new_esEs(xv301, xv4001, bba, bbb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(app(ty_@2, bcb), bcc)) → new_esEs(xv302, xv4002, bcb, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, he), hf)), hg), hh)) → new_esEs(xv300, xv4000, he, hf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, eh), fa)), fb)) → new_esEs(xv300, xv4000, eh, fa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(app(ty_@2, bcb), bcc))) → new_esEs(xv302, xv4002, bcb, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(app(ty_@2, bba), bbb)), hh)) → new_esEs(xv301, xv4001, bba, bbb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, df), dg))) → new_esEs(xv300, xv4000, df, dg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(app(ty_@2, cd), ce))) → new_esEs(xv301, xv4001, cd, ce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(app(ty_@2, gd), ge))) → new_esEs(xv300, xv4000, gd, ge)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, ba), bb)), bc)) → new_esEs(xv300, xv4000, ba, bb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), eg) → new_esEs0(xv301, xv4001, eg)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs0(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], dh)) → new_esEs0(xv300, xv4000, dh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Right(xv300), Right(xv4000), gc, app(ty_Maybe, hd)) → new_esEs3(xv300, xv4000, hd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(Left(xv300), Left(xv4000), app(ty_Maybe, gb), fb) → new_esEs3(xv300, xv4000, gb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Left(xv300), Left(xv4000), app(app(ty_Either, fd), ff), fb) → new_esEs1(xv300, xv4000, fd, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(Right(xv300), Right(xv4000), gc, app(app(ty_Either, gg), gh)) → new_esEs1(xv300, xv4000, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(Left(xv300), Left(xv4000), app(app(app(ty_@3, fg), fh), ga), fb) → new_esEs2(xv300, xv4000, fg, fh, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(Right(xv300), Right(xv4000), gc, app(app(app(ty_@3, ha), hb), hc)) → new_esEs2(xv300, xv4000, ha, hb, hc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs1(Left(xv300), Left(xv4000), app(ty_[], fc), fb) → new_esEs0(xv300, xv4000, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Right(xv300), Right(xv4000), gc, app(ty_[], gf)) → new_esEs0(xv300, xv4000, gf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(ty_Maybe, bdb)) → new_esEs3(xv302, xv4002, bdb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(ty_Maybe, bca), hh) → new_esEs3(xv301, xv4001, bca)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bag), hg, hh) → new_esEs3(xv300, xv4000, bag)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, cb)), bc)) → new_esEs3(xv300, xv4000, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, bag)), hg), hh)) → new_esEs3(xv300, xv4000, bag)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(ty_Maybe, de))) → new_esEs3(xv301, xv4001, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, ef))) → new_esEs3(xv300, xv4000, ef)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(ty_Maybe, bca)), hh)) → new_esEs3(xv301, xv4001, bca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, gb)), fb)) → new_esEs3(xv300, xv4000, gb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(ty_Maybe, bdb))) → new_esEs3(xv302, xv4002, bdb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(xv30), Just(xv400), app(ty_Maybe, bdc)) → new_esEs3(xv30, xv400, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(ty_Maybe, hd))) → new_esEs3(xv300, xv4000, hd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(app(ty_Either, bce), bcf)) → new_esEs1(xv302, xv4002, bce, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(app(ty_Either, bbd), bbe), hh) → new_esEs1(xv301, xv4001, bbd, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bab), bac), hg, hh) → new_esEs1(xv300, xv4000, bab, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(app(app(ty_@3, bcg), bch), bda)) → new_esEs2(xv302, xv4002, bcg, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bad), bae), baf), hg, hh) → new_esEs2(xv300, xv4000, bad, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(app(app(ty_@3, bbf), bbg), bbh), hh) → new_esEs2(xv301, xv4001, bbf, bbg, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, hg, app(ty_[], bcd)) → new_esEs0(xv302, xv4002, bcd)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], baa), hg, hh) → new_esEs0(xv300, xv4000, baa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), bah, app(ty_[], bbc), hh) → new_esEs0(xv301, xv4001, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(app(ty_Either, cg), da))) → new_esEs1(xv301, xv4001, cg, da)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(app(ty_Either, bce), bcf))) → new_esEs1(xv302, xv4002, bce, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, fd), ff)), fb)) → new_esEs1(xv300, xv4000, fd, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(app(ty_Either, gg), gh))) → new_esEs1(xv300, xv4000, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, be), bf)), bc)) → new_esEs1(xv300, xv4000, be, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(app(ty_Either, bbd), bbe)), hh)) → new_esEs1(xv301, xv4001, bbd, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, bab), bac)), hg), hh)) → new_esEs1(xv300, xv4000, bab, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, ea), eb))) → new_esEs1(xv300, xv4000, ea, eb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, bad), bae), baf)), hg), hh)) → new_esEs2(xv300, xv4000, bad, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, bg), bh), ca)), bc)) → new_esEs2(xv300, xv4000, bg, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(app(app(ty_@3, bcg), bch), bda))) → new_esEs2(xv302, xv4002, bcg, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, fg), fh), ga)), fb)) → new_esEs2(xv300, xv4000, fg, fh, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(app(app(ty_@3, db), dc), dd))) → new_esEs2(xv301, xv4001, db, dc, dd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(app(app(ty_@3, ha), hb), hc))) → new_esEs2(xv300, xv4000, ha, hb, hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(app(app(ty_@3, bbf), bbg), bbh)), hh)) → new_esEs2(xv301, xv4001, bbf, bbg, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, ec), ed), ee))) → new_esEs2(xv300, xv4000, ec, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], dh))) → new_esEs0(xv300, xv4000, dh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, gc), app(ty_[], gf))) → new_esEs0(xv300, xv4000, gf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), hg), app(ty_[], bcd))) → new_esEs0(xv302, xv4002, bcd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], fc)), fb)) → new_esEs0(xv300, xv4000, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], baa)), hg), hh)) → new_esEs0(xv300, xv4000, baa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, bah), app(ty_[], bbc)), hh)) → new_esEs0(xv301, xv4001, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], eg)) → new_esEs0(xv301, xv4001, eg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], bd)), bc)) → new_esEs0(xv300, xv4000, bd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, cc), app(ty_[], cf))) → new_esEs0(xv301, xv4001, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 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) → new_foldr(xv3, xv41, ba)

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

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