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

YES 1.409 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule Main

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

module Main where

import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule Main

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

module Main where

import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

mainModule Main

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

module Main where

import qualified Prelude

Haskell To QDPs

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71[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];710[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];71 -> 710[label="",style="solid", color="burlywood", weight=9];
710 -> 124[label="",style="solid", color="burlywood", weight=3];
72[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];711[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];72 -> 711[label="",style="solid", color="burlywood", weight=9];
711 -> 125[label="",style="solid", color="burlywood", weight=3];
73[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];712[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];73 -> 712[label="",style="solid", color="burlywood", weight=9];
712 -> 126[label="",style="solid", color="burlywood", weight=3];
713[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];73 -> 713[label="",style="solid", color="burlywood", weight=9];
713 -> 127[label="",style="solid", color="burlywood", weight=3];
714[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];73 -> 714[label="",style="solid", color="burlywood", weight=9];
714 -> 128[label="",style="solid", color="burlywood", weight=3];
74[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];715[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];74 -> 715[label="",style="solid", color="burlywood", weight=9];
715 -> 129[label="",style="solid", color="burlywood", weight=3];
716[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];74 -> 716[label="",style="solid", color="burlywood", weight=9];
716 -> 130[label="",style="solid", color="burlywood", weight=3];
717[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];74 -> 717[label="",style="solid", color="burlywood", weight=9];
717 -> 131[label="",style="solid", color="burlywood", weight=3];
75[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];718[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];75 -> 718[label="",style="solid", color="burlywood", weight=9];
718 -> 132[label="",style="solid", color="burlywood", weight=3];
719[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];75 -> 719[label="",style="solid", color="burlywood", weight=9];
719 -> 133[label="",style="solid", color="burlywood", weight=3];
720[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];75 -> 720[label="",style="solid", color="burlywood", weight=9];
720 -> 134[label="",style="solid", color="burlywood", weight=3];
76[label="False == xv40",fontsize=16,color="burlywood",shape="box"];721[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];76 -> 721[label="",style="solid", color="burlywood", weight=9];
721 -> 135[label="",style="solid", color="burlywood", weight=3];
722[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];76 -> 722[label="",style="solid", color="burlywood", weight=9];
722 -> 136[label="",style="solid", color="burlywood", weight=3];
77[label="True == xv40",fontsize=16,color="burlywood",shape="box"];723[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];77 -> 723[label="",style="solid", color="burlywood", weight=9];
723 -> 137[label="",style="solid", color="burlywood", weight=3];
724[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];77 -> 724[label="",style="solid", color="burlywood", weight=9];
724 -> 138[label="",style="solid", color="burlywood", weight=3];
78[label="xv40\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];79[label="xv30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];80[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];725[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];80 -> 725[label="",style="solid", color="burlywood", weight=9];
725 -> 139[label="",style="solid", color="burlywood", weight=3];
81[label="(xv300,xv301) == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];726[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];81 -> 726[label="",style="solid", color="burlywood", weight=9];
726 -> 140[label="",style="solid", color="burlywood", weight=3];
82[label="(xv300,xv301,xv302) == xv40\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];727[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];82 -> 727[label="",style="solid", color="burlywood", weight=9];
727 -> 141[label="",style="solid", color="burlywood", weight=3];
83[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];728[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];83 -> 728[label="",style="solid", color="burlywood", weight=9];
728 -> 142[label="",style="solid", color="burlywood", weight=3];
84[label="xv40\n  Eq a",fontsize=16,color="green",shape="box"];85[label="xv30\n  Eq a",fontsize=16,color="green",shape="box"];86[label="xv40\n  Eq a",fontsize=16,color="green",shape="box"];87[label="xv30\n  Eq a",fontsize=16,color="green",shape="box"];88[label="xv40",fontsize=16,color="green",shape="box"];89[label="xv30",fontsize=16,color="green",shape="box"];90[label="xv40\n  Integral a",fontsize=16,color="green",shape="box"];91[label="xv30\n  Integral a",fontsize=16,color="green",shape="box"];92[label="xv40",fontsize=16,color="green",shape="box"];93[label="xv30",fontsize=16,color="green",shape="box"];94[label="xv40",fontsize=16,color="green",shape="box"];95[label="xv30",fontsize=16,color="green",shape="box"];96[label="xv40",fontsize=16,color="green",shape="box"];97[label="xv30",fontsize=16,color="green",shape="box"];98[label="xv40",fontsize=16,color="green",shape="box"];99[label="xv30",fontsize=16,color="green",shape="box"];100[label="xv40",fontsize=16,color="green",shape="box"];101[label="xv30",fontsize=16,color="green",shape="box"];102[label="xv40\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];103[label="xv30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];104[label="xv40",fontsize=16,color="green",shape="box"];105[label="xv30",fontsize=16,color="green",shape="box"];106[label="xv40\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];107[label="xv30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];108[label="xv40\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];109[label="xv30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];110[label="xv40",fontsize=16,color="green",shape="box"];111[label="xv30",fontsize=16,color="green",shape="box"];112[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];112 -> 143[label="",style="solid", color="black", weight=3];
113[label="Nothing == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];113 -> 144[label="",style="solid", color="black", weight=3];
114[label="Just xv300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];114 -> 145[label="",style="solid", color="black", weight=3];
115[label="Just xv300 == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];115 -> 146[label="",style="solid", color="black", weight=3];
116[label="xv300 : xv301 == xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];116 -> 147[label="",style="solid", color="black", weight=3];
117[label="xv300 : xv301 == []\n  Eq a",fontsize=16,color="black",shape="box"];117 -> 148[label="",style="solid", color="black", weight=3];
118[label="[] == xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];118 -> 149[label="",style="solid", color="black", weight=3];
119[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];119 -> 150[label="",style="solid", color="black", weight=3];
120[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];729[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];120 -> 729[label="",style="solid", color="burlywood", weight=9];
729 -> 151[label="",style="solid", color="burlywood", weight=3];
730[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];120 -> 730[label="",style="solid", color="burlywood", weight=9];
730 -> 152[label="",style="solid", color="burlywood", weight=3];
121[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];731[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];121 -> 731[label="",style="solid", color="burlywood", weight=9];
731 -> 153[label="",style="solid", color="burlywood", weight=3];
732[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];121 -> 732[label="",style="solid", color="burlywood", weight=9];
732 -> 154[label="",style="solid", color="burlywood", weight=3];
122[label="xv300 :% xv301 == xv400 :% xv401\n  Integral a",fontsize=16,color="black",shape="box"];122 -> 155[label="",style="solid", color="black", weight=3];
123[label="() == ()",fontsize=16,color="black",shape="box"];123 -> 156[label="",style="solid", color="black", weight=3];
124[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];733[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];124 -> 733[label="",style="solid", color="burlywood", weight=9];
733 -> 157[label="",style="solid", color="burlywood", weight=3];
125[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];734[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];125 -> 734[label="",style="solid", color="burlywood", weight=9];
734 -> 158[label="",style="solid", color="burlywood", weight=3];
126[label="LT == LT",fontsize=16,color="black",shape="box"];126 -> 159[label="",style="solid", color="black", weight=3];
127[label="LT == EQ",fontsize=16,color="black",shape="box"];127 -> 160[label="",style="solid", color="black", weight=3];
128[label="LT == GT",fontsize=16,color="black",shape="box"];128 -> 161[label="",style="solid", color="black", weight=3];
129[label="EQ == LT",fontsize=16,color="black",shape="box"];129 -> 162[label="",style="solid", color="black", weight=3];
130[label="EQ == EQ",fontsize=16,color="black",shape="box"];130 -> 163[label="",style="solid", color="black", weight=3];
131[label="EQ == GT",fontsize=16,color="black",shape="box"];131 -> 164[label="",style="solid", color="black", weight=3];
132[label="GT == LT",fontsize=16,color="black",shape="box"];132 -> 165[label="",style="solid", color="black", weight=3];
133[label="GT == EQ",fontsize=16,color="black",shape="box"];133 -> 166[label="",style="solid", color="black", weight=3];
134[label="GT == GT",fontsize=16,color="black",shape="box"];134 -> 167[label="",style="solid", color="black", weight=3];
135[label="False == False",fontsize=16,color="black",shape="box"];135 -> 168[label="",style="solid", color="black", weight=3];
136[label="False == True",fontsize=16,color="black",shape="box"];136 -> 169[label="",style="solid", color="black", weight=3];
137[label="True == False",fontsize=16,color="black",shape="box"];137 -> 170[label="",style="solid", color="black", weight=3];
138[label="True == True",fontsize=16,color="black",shape="box"];138 -> 171[label="",style="solid", color="black", weight=3];
139[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];139 -> 172[label="",style="solid", color="black", weight=3];
140[label="(xv300,xv301) == (xv400,xv401)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];140 -> 173[label="",style="solid", color="black", weight=3];
141[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];141 -> 174[label="",style="solid", color="black", weight=3];
142[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];735[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];142 -> 735[label="",style="solid", color="burlywood", weight=9];
735 -> 175[label="",style="solid", color="burlywood", weight=3];
143[label="True",fontsize=16,color="green",shape="box"];144[label="False",fontsize=16,color="green",shape="box"];145[label="False",fontsize=16,color="green",shape="box"];146[label="xv300 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];736[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 736[label="",style="solid", color="blue", weight=9];
736 -> 176[label="",style="solid", color="blue", weight=3];
737[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 737[label="",style="solid", color="blue", weight=9];
737 -> 177[label="",style="solid", color="blue", weight=3];
738[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 738[label="",style="solid", color="blue", weight=9];
738 -> 178[label="",style="solid", color="blue", weight=3];
739[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 739[label="",style="solid", color="blue", weight=9];
739 -> 179[label="",style="solid", color="blue", weight=3];
740[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 740[label="",style="solid", color="blue", weight=9];
740 -> 180[label="",style="solid", color="blue", weight=3];
741[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 741[label="",style="solid", color="blue", weight=9];
741 -> 181[label="",style="solid", color="blue", weight=3];
742[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 742[label="",style="solid", color="blue", weight=9];
742 -> 182[label="",style="solid", color="blue", weight=3];
743[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 743[label="",style="solid", color="blue", weight=9];
743 -> 183[label="",style="solid", color="blue", weight=3];
744[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 744[label="",style="solid", color="blue", weight=9];
744 -> 184[label="",style="solid", color="blue", weight=3];
745[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 745[label="",style="solid", color="blue", weight=9];
745 -> 185[label="",style="solid", color="blue", weight=3];
746[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 746[label="",style="solid", color="blue", weight=9];
746 -> 186[label="",style="solid", color="blue", weight=3];
747[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 747[label="",style="solid", color="blue", weight=9];
747 -> 187[label="",style="solid", color="blue", weight=3];
748[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 748[label="",style="solid", color="blue", weight=9];
748 -> 188[label="",style="solid", color="blue", weight=3];
749[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 749[label="",style="solid", color="blue", weight=9];
749 -> 189[label="",style="solid", color="blue", weight=3];
147 -> 244[label="",style="dashed", color="red", weight=0];
147[label="xv300 == xv400 && xv301 == xv401\n  Eq a",fontsize=16,color="magenta"];147 -> 245[label="",style="dashed", color="magenta", weight=3];
147 -> 246[label="",style="dashed", color="magenta", weight=3];
148[label="False",fontsize=16,color="green",shape="box"];149[label="False",fontsize=16,color="green",shape="box"];150[label="True",fontsize=16,color="green",shape="box"];151[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];751[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];151 -> 751[label="",style="solid", color="burlywood", weight=9];
751 -> 201[label="",style="solid", color="burlywood", weight=3];
752[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];151 -> 752[label="",style="solid", color="burlywood", weight=9];
752 -> 202[label="",style="solid", color="burlywood", weight=3];
152[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];753[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];152 -> 753[label="",style="solid", color="burlywood", weight=9];
753 -> 203[label="",style="solid", color="burlywood", weight=3];
754[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];152 -> 754[label="",style="solid", color="burlywood", weight=9];
754 -> 204[label="",style="solid", color="burlywood", weight=3];
153[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];755[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];153 -> 755[label="",style="solid", color="burlywood", weight=9];
755 -> 205[label="",style="solid", color="burlywood", weight=3];
756[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];153 -> 756[label="",style="solid", color="burlywood", weight=9];
756 -> 206[label="",style="solid", color="burlywood", weight=3];
154[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];757[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];154 -> 757[label="",style="solid", color="burlywood", weight=9];
757 -> 207[label="",style="solid", color="burlywood", weight=3];
758[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];154 -> 758[label="",style="solid", color="burlywood", weight=9];
758 -> 208[label="",style="solid", color="burlywood", weight=3];
155 -> 244[label="",style="dashed", color="red", weight=0];
155[label="xv300 == xv400 && xv301 == xv401\n  Integral a",fontsize=16,color="magenta"];155 -> 247[label="",style="dashed", color="magenta", weight=3];
155 -> 248[label="",style="dashed", color="magenta", weight=3];
156[label="True",fontsize=16,color="green",shape="box"];157[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];157 -> 209[label="",style="solid", color="black", weight=3];
158[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];158 -> 210[label="",style="solid", color="black", weight=3];
159[label="True",fontsize=16,color="green",shape="box"];160[label="False",fontsize=16,color="green",shape="box"];161[label="False",fontsize=16,color="green",shape="box"];162[label="False",fontsize=16,color="green",shape="box"];163[label="True",fontsize=16,color="green",shape="box"];164[label="False",fontsize=16,color="green",shape="box"];165[label="False",fontsize=16,color="green",shape="box"];166[label="False",fontsize=16,color="green",shape="box"];167[label="True",fontsize=16,color="green",shape="box"];168[label="True",fontsize=16,color="green",shape="box"];169[label="False",fontsize=16,color="green",shape="box"];170[label="False",fontsize=16,color="green",shape="box"];171[label="True",fontsize=16,color="green",shape="box"];172 -> 68[label="",style="dashed", color="red", weight=0];
172[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];172 -> 211[label="",style="dashed", color="magenta", weight=3];
172 -> 212[label="",style="dashed", color="magenta", weight=3];
173 -> 244[label="",style="dashed", color="red", weight=0];
173[label="xv300 == xv400 && xv301 == xv401\n  Eq a  Eq b",fontsize=16,color="magenta"];173 -> 249[label="",style="dashed", color="magenta", weight=3];
173 -> 250[label="",style="dashed", color="magenta", weight=3];
174 -> 244[label="",style="dashed", color="red", weight=0];
174[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];174 -> 251[label="",style="dashed", color="magenta", weight=3];
174 -> 252[label="",style="dashed", color="magenta", weight=3];
175[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];175 -> 213[label="",style="solid", color="black", weight=3];
176 -> 36[label="",style="dashed", color="red", weight=0];
176[label="xv300 == xv400\n  Eq a",fontsize=16,color="magenta"];176 -> 214[label="",style="dashed", color="magenta", weight=3];
176 -> 215[label="",style="dashed", color="magenta", weight=3];
177 -> 37[label="",style="dashed", color="red", weight=0];
177[label="xv300 == xv400\n  Eq a",fontsize=16,color="magenta"];177 -> 216[label="",style="dashed", color="magenta", weight=3];
177 -> 217[label="",style="dashed", color="magenta", weight=3];
178 -> 38[label="",style="dashed", color="red", weight=0];
178[label="xv300 == xv400",fontsize=16,color="magenta"];178 -> 218[label="",style="dashed", color="magenta", weight=3];
178 -> 219[label="",style="dashed", color="magenta", weight=3];
179 -> 39[label="",style="dashed", color="red", weight=0];
179[label="xv300 == xv400\n  Integral a",fontsize=16,color="magenta"];179 -> 220[label="",style="dashed", color="magenta", weight=3];
179 -> 221[label="",style="dashed", color="magenta", weight=3];
180 -> 40[label="",style="dashed", color="red", weight=0];
180[label="xv300 == xv400",fontsize=16,color="magenta"];180 -> 222[label="",style="dashed", color="magenta", weight=3];
180 -> 223[label="",style="dashed", color="magenta", weight=3];
181 -> 41[label="",style="dashed", color="red", weight=0];
181[label="xv300 == xv400",fontsize=16,color="magenta"];181 -> 224[label="",style="dashed", color="magenta", weight=3];
181 -> 225[label="",style="dashed", color="magenta", weight=3];
182 -> 42[label="",style="dashed", color="red", weight=0];
182[label="xv300 == xv400",fontsize=16,color="magenta"];182 -> 226[label="",style="dashed", color="magenta", weight=3];
182 -> 227[label="",style="dashed", color="magenta", weight=3];
183 -> 43[label="",style="dashed", color="red", weight=0];
183[label="xv300 == xv400",fontsize=16,color="magenta"];183 -> 228[label="",style="dashed", color="magenta", weight=3];
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184 -> 44[label="",style="dashed", color="red", weight=0];
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779[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];245 -> 779[label="",style="solid", color="blue", weight=9];
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780[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];245 -> 780[label="",style="solid", color="blue", weight=9];
780 -> 260[label="",style="solid", color="blue", weight=3];
781[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];245 -> 781[label="",style="solid", color="blue", weight=9];
781 -> 261[label="",style="solid", color="blue", weight=3];
782[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];245 -> 782[label="",style="solid", color="blue", weight=9];
782 -> 262[label="",style="solid", color="blue", weight=3];
783[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];245 -> 783[label="",style="solid", color="blue", weight=9];
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785[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];245 -> 785[label="",style="solid", color="blue", weight=9];
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787[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];245 -> 787[label="",style="solid", color="blue", weight=9];
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801[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];206 -> 801[label="",style="solid", color="burlywood", weight=9];
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803[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];207 -> 803[label="",style="solid", color="burlywood", weight=9];
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805[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];208 -> 805[label="",style="solid", color="burlywood", weight=9];
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807[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 807[label="",style="solid", color="blue", weight=9];
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817[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 817[label="",style="solid", color="blue", weight=9];
817 -> 301[label="",style="solid", color="blue", weight=3];
818[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 818[label="",style="solid", color="blue", weight=9];
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819[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 819[label="",style="solid", color="blue", weight=9];
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820[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 820[label="",style="solid", color="blue", weight=9];
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821[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 821[label="",style="solid", color="blue", weight=9];
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823[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 823[label="",style="solid", color="blue", weight=9];
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826[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 826[label="",style="solid", color="blue", weight=9];
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829[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];250 -> 829[label="",style="solid", color="blue", weight=9];
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831[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];250 -> 831[label="",style="solid", color="blue", weight=9];
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832[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];250 -> 832[label="",style="solid", color="blue", weight=9];
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833[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];250 -> 833[label="",style="solid", color="blue", weight=9];
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843[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 843[label="",style="solid", color="blue", weight=9];
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845[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 845[label="",style="solid", color="blue", weight=9];
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846[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 846[label="",style="solid", color="blue", weight=9];
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847[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 847[label="",style="solid", color="blue", weight=9];
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851[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 851[label="",style="solid", color="blue", weight=9];
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988 -> 587[label="",style="solid", color="burlywood", weight=3];
526[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];527[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];528[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];529[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];530[label="xv401",fontsize=16,color="green",shape="box"];531[label="xv301",fontsize=16,color="green",shape="box"];532[label="xv401\n  Integral a",fontsize=16,color="green",shape="box"];533[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];534[label="xv401",fontsize=16,color="green",shape="box"];535[label="xv301",fontsize=16,color="green",shape="box"];536[label="xv401",fontsize=16,color="green",shape="box"];537[label="xv301",fontsize=16,color="green",shape="box"];538[label="xv401",fontsize=16,color="green",shape="box"];539[label="xv301",fontsize=16,color="green",shape="box"];540[label="xv401",fontsize=16,color="green",shape="box"];541[label="xv301",fontsize=16,color="green",shape="box"];542[label="xv401",fontsize=16,color="green",shape="box"];543[label="xv301",fontsize=16,color="green",shape="box"];544[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];545[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];546[label="xv401",fontsize=16,color="green",shape="box"];547[label="xv301",fontsize=16,color="green",shape="box"];548[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];549[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];550[label="xv401\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];551[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];552[label="xv401",fontsize=16,color="green",shape="box"];553[label="xv301",fontsize=16,color="green",shape="box"];554[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];555[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];556[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];557[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];558[label="xv402",fontsize=16,color="green",shape="box"];559[label="xv302",fontsize=16,color="green",shape="box"];560[label="xv402\n  Integral a",fontsize=16,color="green",shape="box"];561[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];562[label="xv402",fontsize=16,color="green",shape="box"];563[label="xv302",fontsize=16,color="green",shape="box"];564[label="xv402",fontsize=16,color="green",shape="box"];565[label="xv302",fontsize=16,color="green",shape="box"];566[label="xv402",fontsize=16,color="green",shape="box"];567[label="xv302",fontsize=16,color="green",shape="box"];568[label="xv402",fontsize=16,color="green",shape="box"];569[label="xv302",fontsize=16,color="green",shape="box"];570[label="xv402",fontsize=16,color="green",shape="box"];571[label="xv302",fontsize=16,color="green",shape="box"];572[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];573[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];574[label="xv402",fontsize=16,color="green",shape="box"];575[label="xv302",fontsize=16,color="green",shape="box"];576[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];577[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];578[label="xv402\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];579[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];580[label="xv402",fontsize=16,color="green",shape="box"];581[label="xv302",fontsize=16,color="green",shape="box"];582[label="xv3000",fontsize=16,color="green",shape="box"];583[label="xv4000",fontsize=16,color="green",shape="box"];584[label="primMulInt (Pos xv3010) (Pos xv4010)",fontsize=16,color="black",shape="box"];584 -> 588[label="",style="solid", color="black", weight=3];
585[label="primMulInt (Pos xv3010) (Neg xv4010)",fontsize=16,color="black",shape="box"];585 -> 589[label="",style="solid", color="black", weight=3];
586[label="primMulInt (Neg xv3010) (Pos xv4010)",fontsize=16,color="black",shape="box"];586 -> 590[label="",style="solid", color="black", weight=3];
587[label="primMulInt (Neg xv3010) (Neg xv4010)",fontsize=16,color="black",shape="box"];587 -> 591[label="",style="solid", color="black", weight=3];
588[label="Pos (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];588 -> 592[label="",style="dashed", color="green", weight=3];
589[label="Neg (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];589 -> 593[label="",style="dashed", color="green", weight=3];
590[label="Neg (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];590 -> 594[label="",style="dashed", color="green", weight=3];
591[label="Pos (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];591 -> 595[label="",style="dashed", color="green", weight=3];
592[label="primMulNat xv3010 xv4010",fontsize=16,color="burlywood",shape="triangle"];989[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];592 -> 989[label="",style="solid", color="burlywood", weight=9];
989 -> 596[label="",style="solid", color="burlywood", weight=3];
990[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];592 -> 990[label="",style="solid", color="burlywood", weight=9];
990 -> 597[label="",style="solid", color="burlywood", weight=3];
593 -> 592[label="",style="dashed", color="red", weight=0];
593[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];593 -> 598[label="",style="dashed", color="magenta", weight=3];
594 -> 592[label="",style="dashed", color="red", weight=0];
594[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];594 -> 599[label="",style="dashed", color="magenta", weight=3];
595 -> 592[label="",style="dashed", color="red", weight=0];
595[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];595 -> 600[label="",style="dashed", color="magenta", weight=3];
595 -> 601[label="",style="dashed", color="magenta", weight=3];
596[label="primMulNat (Succ xv30100) xv4010",fontsize=16,color="burlywood",shape="box"];994[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];596 -> 994[label="",style="solid", color="burlywood", weight=9];
994 -> 602[label="",style="solid", color="burlywood", weight=3];
995[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];596 -> 995[label="",style="solid", color="burlywood", weight=9];
995 -> 603[label="",style="solid", color="burlywood", weight=3];
597[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];996[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];597 -> 996[label="",style="solid", color="burlywood", weight=9];
996 -> 604[label="",style="solid", color="burlywood", weight=3];
997[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];597 -> 997[label="",style="solid", color="burlywood", weight=9];
997 -> 605[label="",style="solid", color="burlywood", weight=3];
598[label="xv4010",fontsize=16,color="green",shape="box"];599[label="xv3010",fontsize=16,color="green",shape="box"];600[label="xv4010",fontsize=16,color="green",shape="box"];601[label="xv3010",fontsize=16,color="green",shape="box"];602[label="primMulNat (Succ xv30100) (Succ xv40100)",fontsize=16,color="black",shape="box"];602 -> 606[label="",style="solid", color="black", weight=3];
603[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];603 -> 607[label="",style="solid", color="black", weight=3];
604[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];604 -> 608[label="",style="solid", color="black", weight=3];
605[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];605 -> 609[label="",style="solid", color="black", weight=3];
606 -> 610[label="",style="dashed", color="red", weight=0];
606[label="primPlusNat (primMulNat xv30100 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];606 -> 611[label="",style="dashed", color="magenta", weight=3];
607[label="Zero",fontsize=16,color="green",shape="box"];608[label="Zero",fontsize=16,color="green",shape="box"];609[label="Zero",fontsize=16,color="green",shape="box"];611 -> 592[label="",style="dashed", color="red", weight=0];
611[label="primMulNat xv30100 (Succ xv40100)",fontsize=16,color="magenta"];611 -> 612[label="",style="dashed", color="magenta", weight=3];
611 -> 613[label="",style="dashed", color="magenta", weight=3];
610[label="primPlusNat xv14 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];1000[label="xv14/Succ xv140",fontsize=10,color="white",style="solid",shape="box"];610 -> 1000[label="",style="solid", color="burlywood", weight=9];
1000 -> 614[label="",style="solid", color="burlywood", weight=3];
1001[label="xv14/Zero",fontsize=10,color="white",style="solid",shape="box"];610 -> 1001[label="",style="solid", color="burlywood", weight=9];
1001 -> 615[label="",style="solid", color="burlywood", weight=3];
612[label="Succ xv40100",fontsize=16,color="green",shape="box"];613[label="xv30100",fontsize=16,color="green",shape="box"];614[label="primPlusNat (Succ xv140) (Succ xv40100)",fontsize=16,color="black",shape="box"];614 -> 616[label="",style="solid", color="black", weight=3];
615[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];615 -> 617[label="",style="solid", color="black", weight=3];
616[label="Succ (Succ (primPlusNat xv140 xv40100))",fontsize=16,color="green",shape="box"];616 -> 618[label="",style="dashed", color="green", weight=3];
617[label="Succ xv40100",fontsize=16,color="green",shape="box"];618[label="primPlusNat xv140 xv40100",fontsize=16,color="burlywood",shape="triangle"];1002[label="xv140/Succ xv1400",fontsize=10,color="white",style="solid",shape="box"];618 -> 1002[label="",style="solid", color="burlywood", weight=9];
1002 -> 619[label="",style="solid", color="burlywood", weight=3];
1003[label="xv140/Zero",fontsize=10,color="white",style="solid",shape="box"];618 -> 1003[label="",style="solid", color="burlywood", weight=9];
1003 -> 620[label="",style="solid", color="burlywood", weight=3];
619[label="primPlusNat (Succ xv1400) xv40100",fontsize=16,color="burlywood",shape="box"];1004[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];619 -> 1004[label="",style="solid", color="burlywood", weight=9];
1004 -> 621[label="",style="solid", color="burlywood", weight=3];
1005[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];619 -> 1005[label="",style="solid", color="burlywood", weight=9];
1005 -> 622[label="",style="solid", color="burlywood", weight=3];
620[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];1006[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];620 -> 1006[label="",style="solid", color="burlywood", weight=9];
1006 -> 623[label="",style="solid", color="burlywood", weight=3];
1007[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];620 -> 1007[label="",style="solid", color="burlywood", weight=9];
1007 -> 624[label="",style="solid", color="burlywood", weight=3];
621[label="primPlusNat (Succ xv1400) (Succ xv401000)",fontsize=16,color="black",shape="box"];621 -> 625[label="",style="solid", color="black", weight=3];
622[label="primPlusNat (Succ xv1400) Zero",fontsize=16,color="black",shape="box"];622 -> 626[label="",style="solid", color="black", weight=3];
623[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];623 -> 627[label="",style="solid", color="black", weight=3];
624[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];624 -> 628[label="",style="solid", color="black", weight=3];
625[label="Succ (Succ (primPlusNat xv1400 xv401000))",fontsize=16,color="green",shape="box"];625 -> 629[label="",style="dashed", color="green", weight=3];
626[label="Succ xv1400",fontsize=16,color="green",shape="box"];627[label="Succ xv401000",fontsize=16,color="green",shape="box"];628[label="Zero",fontsize=16,color="green",shape="box"];629 -> 618[label="",style="dashed", color="red", weight=0];
629[label="primPlusNat xv1400 xv401000",fontsize=16,color="magenta"];629 -> 630[label="",style="dashed", color="magenta", weight=3];
629 -> 631[label="",style="dashed", color="magenta", weight=3];
630[label="xv401000",fontsize=16,color="green",shape="box"];631[label="xv1400",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primPlusNat(Succ(xv1400), Succ(xv401000)) → new_primPlusNat(xv1400, xv401000)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

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

new_primPlusNat(Succ(xv1400), Succ(xv401000)) → new_primPlusNat(xv1400, xv401000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

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

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

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

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

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

new_primEqNat(Succ(xv3000), Succ(xv4000)) → new_primEqNat(xv3000, xv4000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

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

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

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

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