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

YES 1.499 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 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

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

module Main where

import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

mainModule Main

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

module Main where

import qualified Prelude

Haskell To QDPs

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87[label="Just xv300 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];747[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];87 -> 747[label="",style="solid", color="burlywood", weight=9];
747 -> 136[label="",style="solid", color="burlywood", weight=3];
748[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];87 -> 748[label="",style="solid", color="burlywood", weight=9];
748 -> 137[label="",style="solid", color="burlywood", weight=3];
88[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];749[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];88 -> 749[label="",style="solid", color="burlywood", weight=9];
749 -> 138[label="",style="solid", color="burlywood", weight=3];
750[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];88 -> 750[label="",style="solid", color="burlywood", weight=9];
750 -> 139[label="",style="solid", color="burlywood", weight=3];
751[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];88 -> 751[label="",style="solid", color="burlywood", weight=9];
751 -> 140[label="",style="solid", color="burlywood", weight=3];
89[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];752[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];89 -> 752[label="",style="solid", color="burlywood", weight=9];
752 -> 141[label="",style="solid", color="burlywood", weight=3];
753[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];89 -> 753[label="",style="solid", color="burlywood", weight=9];
753 -> 142[label="",style="solid", color="burlywood", weight=3];
754[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];89 -> 754[label="",style="solid", color="burlywood", weight=9];
754 -> 143[label="",style="solid", color="burlywood", weight=3];
90[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];755[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];90 -> 755[label="",style="solid", color="burlywood", weight=9];
755 -> 144[label="",style="solid", color="burlywood", weight=3];
756[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];90 -> 756[label="",style="solid", color="burlywood", weight=9];
756 -> 145[label="",style="solid", color="burlywood", weight=3];
757[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];90 -> 757[label="",style="solid", color="burlywood", weight=9];
757 -> 146[label="",style="solid", color="burlywood", weight=3];
91[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];758[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];91 -> 758[label="",style="solid", color="burlywood", weight=9];
758 -> 147[label="",style="solid", color="burlywood", weight=3];
759[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];91 -> 759[label="",style="solid", color="burlywood", weight=9];
759 -> 148[label="",style="solid", color="burlywood", weight=3];
92[label="False == xv400",fontsize=16,color="burlywood",shape="box"];760[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];92 -> 760[label="",style="solid", color="burlywood", weight=9];
760 -> 149[label="",style="solid", color="burlywood", weight=3];
761[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];92 -> 761[label="",style="solid", color="burlywood", weight=9];
761 -> 150[label="",style="solid", color="burlywood", weight=3];
93[label="True == xv400",fontsize=16,color="burlywood",shape="box"];762[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];93 -> 762[label="",style="solid", color="burlywood", weight=9];
762 -> 151[label="",style="solid", color="burlywood", weight=3];
763[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];93 -> 763[label="",style="solid", color="burlywood", weight=9];
763 -> 152[label="",style="solid", color="burlywood", weight=3];
94[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];764[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];94 -> 764[label="",style="solid", color="burlywood", weight=9];
764 -> 153[label="",style="solid", color="burlywood", weight=3];
95[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];765[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];95 -> 765[label="",style="solid", color="burlywood", weight=9];
765 -> 154[label="",style="solid", color="burlywood", weight=3];
96[label="xv300 : xv301 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];766[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];96 -> 766[label="",style="solid", color="burlywood", weight=9];
766 -> 155[label="",style="solid", color="burlywood", weight=3];
767[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];96 -> 767[label="",style="solid", color="burlywood", weight=9];
767 -> 156[label="",style="solid", color="burlywood", weight=3];
97[label="[] == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];768[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];97 -> 768[label="",style="solid", color="burlywood", weight=9];
768 -> 157[label="",style="solid", color="burlywood", weight=3];
769[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];97 -> 769[label="",style="solid", color="burlywood", weight=9];
769 -> 158[label="",style="solid", color="burlywood", weight=3];
98[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];770[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];98 -> 770[label="",style="solid", color="burlywood", weight=9];
770 -> 159[label="",style="solid", color="burlywood", weight=3];
99[label="xv30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];100[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];101[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];771[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];101 -> 771[label="",style="solid", color="burlywood", weight=9];
771 -> 160[label="",style="solid", color="burlywood", weight=3];
102[label="() == xv400",fontsize=16,color="burlywood",shape="box"];772[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];102 -> 772[label="",style="solid", color="burlywood", weight=9];
772 -> 161[label="",style="solid", color="burlywood", weight=3];
103[label="(xv300,xv301,xv302) == xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];773[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];103 -> 773[label="",style="solid", color="burlywood", weight=9];
773 -> 162[label="",style="solid", color="burlywood", weight=3];
104[label="xv300 :% xv301 == xv400\n  Integral a",fontsize=16,color="burlywood",shape="box"];774[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];104 -> 774[label="",style="solid", color="burlywood", weight=9];
774 -> 163[label="",style="solid", color="burlywood", weight=3];
105[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];106[label="xv30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];107[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];108[label="xv30\n  Eq a",fontsize=16,color="green",shape="box"];109[label="xv400",fontsize=16,color="green",shape="box"];110[label="xv30",fontsize=16,color="green",shape="box"];111[label="xv400",fontsize=16,color="green",shape="box"];112[label="xv30",fontsize=16,color="green",shape="box"];113[label="xv400",fontsize=16,color="green",shape="box"];114[label="xv30",fontsize=16,color="green",shape="box"];115[label="xv400",fontsize=16,color="green",shape="box"];116[label="xv30",fontsize=16,color="green",shape="box"];117[label="xv400",fontsize=16,color="green",shape="box"];118[label="xv30",fontsize=16,color="green",shape="box"];119[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];120[label="xv30\n  Eq a",fontsize=16,color="green",shape="box"];121[label="xv400",fontsize=16,color="green",shape="box"];122[label="xv30",fontsize=16,color="green",shape="box"];123[label="xv30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];124[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];125[label="xv400",fontsize=16,color="green",shape="box"];126[label="xv30",fontsize=16,color="green",shape="box"];127[label="xv400",fontsize=16,color="green",shape="box"];128[label="xv30",fontsize=16,color="green",shape="box"];129[label="xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];130[label="xv30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];131[label="xv400\n  Integral a",fontsize=16,color="green",shape="box"];132[label="xv30\n  Integral a",fontsize=16,color="green",shape="box"];133[label="(xv300,xv301) == (xv4000,xv4001)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];133 -> 164[label="",style="solid", color="black", weight=3];
134[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];134 -> 165[label="",style="solid", color="black", weight=3];
135[label="Nothing == Just xv4000\n  Eq a",fontsize=16,color="black",shape="box"];135 -> 166[label="",style="solid", color="black", weight=3];
136[label="Just xv300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];136 -> 167[label="",style="solid", color="black", weight=3];
137[label="Just xv300 == Just xv4000\n  Eq a",fontsize=16,color="black",shape="box"];137 -> 168[label="",style="solid", color="black", weight=3];
138[label="LT == LT",fontsize=16,color="black",shape="box"];138 -> 169[label="",style="solid", color="black", weight=3];
139[label="LT == EQ",fontsize=16,color="black",shape="box"];139 -> 170[label="",style="solid", color="black", weight=3];
140[label="LT == GT",fontsize=16,color="black",shape="box"];140 -> 171[label="",style="solid", color="black", weight=3];
141[label="EQ == LT",fontsize=16,color="black",shape="box"];141 -> 172[label="",style="solid", color="black", weight=3];
142[label="EQ == EQ",fontsize=16,color="black",shape="box"];142 -> 173[label="",style="solid", color="black", weight=3];
143[label="EQ == GT",fontsize=16,color="black",shape="box"];143 -> 174[label="",style="solid", color="black", weight=3];
144[label="GT == LT",fontsize=16,color="black",shape="box"];144 -> 175[label="",style="solid", color="black", weight=3];
145[label="GT == EQ",fontsize=16,color="black",shape="box"];145 -> 176[label="",style="solid", color="black", weight=3];
146[label="GT == GT",fontsize=16,color="black",shape="box"];146 -> 177[label="",style="solid", color="black", weight=3];
147[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];775[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];147 -> 775[label="",style="solid", color="burlywood", weight=9];
775 -> 178[label="",style="solid", color="burlywood", weight=3];
776[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];147 -> 776[label="",style="solid", color="burlywood", weight=9];
776 -> 179[label="",style="solid", color="burlywood", weight=3];
148[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];777[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];148 -> 777[label="",style="solid", color="burlywood", weight=9];
777 -> 180[label="",style="solid", color="burlywood", weight=3];
778[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];148 -> 778[label="",style="solid", color="burlywood", weight=9];
778 -> 181[label="",style="solid", color="burlywood", weight=3];
149[label="False == False",fontsize=16,color="black",shape="box"];149 -> 182[label="",style="solid", color="black", weight=3];
150[label="False == True",fontsize=16,color="black",shape="box"];150 -> 183[label="",style="solid", color="black", weight=3];
151[label="True == False",fontsize=16,color="black",shape="box"];151 -> 184[label="",style="solid", color="black", weight=3];
152[label="True == True",fontsize=16,color="black",shape="box"];152 -> 185[label="",style="solid", color="black", weight=3];
153[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];779[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];153 -> 779[label="",style="solid", color="burlywood", weight=9];
779 -> 186[label="",style="solid", color="burlywood", weight=3];
154[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];154 -> 187[label="",style="solid", color="black", weight=3];
155[label="xv300 : xv301 == xv4000 : xv4001\n  Eq a",fontsize=16,color="black",shape="box"];155 -> 188[label="",style="solid", color="black", weight=3];
156[label="xv300 : xv301 == []\n  Eq a",fontsize=16,color="black",shape="box"];156 -> 189[label="",style="solid", color="black", weight=3];
157[label="[] == xv4000 : xv4001\n  Eq a",fontsize=16,color="black",shape="box"];157 -> 190[label="",style="solid", color="black", weight=3];
158[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];158 -> 191[label="",style="solid", color="black", weight=3];
159[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];780[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];159 -> 780[label="",style="solid", color="burlywood", weight=9];
780 -> 192[label="",style="solid", color="burlywood", weight=3];
160[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];781[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];160 -> 781[label="",style="solid", color="burlywood", weight=9];
781 -> 193[label="",style="solid", color="burlywood", weight=3];
161[label="() == ()",fontsize=16,color="black",shape="box"];161 -> 194[label="",style="solid", color="black", weight=3];
162[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];162 -> 195[label="",style="solid", color="black", weight=3];
163[label="xv300 :% xv301 == xv4000 :% xv4001\n  Integral a",fontsize=16,color="black",shape="box"];163 -> 196[label="",style="solid", color="black", weight=3];
164 -> 259[label="",style="dashed", color="red", weight=0];
164[label="xv300 == xv4000 && xv301 == xv4001\n  Eq a  Eq b",fontsize=16,color="magenta"];164 -> 260[label="",style="dashed", color="magenta", weight=3];
164 -> 261[label="",style="dashed", color="magenta", weight=3];
165[label="True",fontsize=16,color="green",shape="box"];166[label="False",fontsize=16,color="green",shape="box"];167[label="False",fontsize=16,color="green",shape="box"];168[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];783[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 783[label="",style="solid", color="blue", weight=9];
783 -> 207[label="",style="solid", color="blue", weight=3];
784[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 784[label="",style="solid", color="blue", weight=9];
784 -> 208[label="",style="solid", color="blue", weight=3];
785[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 785[label="",style="solid", color="blue", weight=9];
785 -> 209[label="",style="solid", color="blue", weight=3];
786[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 786[label="",style="solid", color="blue", weight=9];
786 -> 210[label="",style="solid", color="blue", weight=3];
787[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 787[label="",style="solid", color="blue", weight=9];
787 -> 211[label="",style="solid", color="blue", weight=3];
788[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 788[label="",style="solid", color="blue", weight=9];
788 -> 212[label="",style="solid", color="blue", weight=3];
789[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 789[label="",style="solid", color="blue", weight=9];
789 -> 213[label="",style="solid", color="blue", weight=3];
790[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 790[label="",style="solid", color="blue", weight=9];
790 -> 214[label="",style="solid", color="blue", weight=3];
791[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 791[label="",style="solid", color="blue", weight=9];
791 -> 215[label="",style="solid", color="blue", weight=3];
792[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 792[label="",style="solid", color="blue", weight=9];
792 -> 216[label="",style="solid", color="blue", weight=3];
793[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 793[label="",style="solid", color="blue", weight=9];
793 -> 217[label="",style="solid", color="blue", weight=3];
794[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 794[label="",style="solid", color="blue", weight=9];
794 -> 218[label="",style="solid", color="blue", weight=3];
795[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 795[label="",style="solid", color="blue", weight=9];
795 -> 219[label="",style="solid", color="blue", weight=3];
796[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];168 -> 796[label="",style="solid", color="blue", weight=9];
796 -> 220[label="",style="solid", color="blue", weight=3];
169[label="True",fontsize=16,color="green",shape="box"];170[label="False",fontsize=16,color="green",shape="box"];171[label="False",fontsize=16,color="green",shape="box"];172[label="False",fontsize=16,color="green",shape="box"];173[label="True",fontsize=16,color="green",shape="box"];174[label="False",fontsize=16,color="green",shape="box"];175[label="False",fontsize=16,color="green",shape="box"];176[label="False",fontsize=16,color="green",shape="box"];177[label="True",fontsize=16,color="green",shape="box"];178[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];797[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];178 -> 797[label="",style="solid", color="burlywood", weight=9];
797 -> 221[label="",style="solid", color="burlywood", weight=3];
798[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];178 -> 798[label="",style="solid", color="burlywood", weight=9];
798 -> 222[label="",style="solid", color="burlywood", weight=3];
179[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];799[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];179 -> 799[label="",style="solid", color="burlywood", weight=9];
799 -> 223[label="",style="solid", color="burlywood", weight=3];
800[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];179 -> 800[label="",style="solid", color="burlywood", weight=9];
800 -> 224[label="",style="solid", color="burlywood", weight=3];
180[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];801[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];180 -> 801[label="",style="solid", color="burlywood", weight=9];
801 -> 225[label="",style="solid", color="burlywood", weight=3];
802[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];180 -> 802[label="",style="solid", color="burlywood", weight=9];
802 -> 226[label="",style="solid", color="burlywood", weight=3];
181[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];803[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];181 -> 803[label="",style="solid", color="burlywood", weight=9];
803 -> 227[label="",style="solid", color="burlywood", weight=3];
804[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];181 -> 804[label="",style="solid", color="burlywood", weight=9];
804 -> 228[label="",style="solid", color="burlywood", weight=3];
182[label="True",fontsize=16,color="green",shape="box"];183[label="False",fontsize=16,color="green",shape="box"];184[label="False",fontsize=16,color="green",shape="box"];185[label="True",fontsize=16,color="green",shape="box"];186[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];186 -> 229[label="",style="solid", color="black", weight=3];
187 -> 91[label="",style="dashed", color="red", weight=0];
187[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];187 -> 230[label="",style="dashed", color="magenta", weight=3];
187 -> 231[label="",style="dashed", color="magenta", weight=3];
188 -> 259[label="",style="dashed", color="red", weight=0];
188[label="xv300 == xv4000 && xv301 == xv4001\n  Eq a",fontsize=16,color="magenta"];188 -> 262[label="",style="dashed", color="magenta", weight=3];
188 -> 263[label="",style="dashed", color="magenta", weight=3];
189[label="False",fontsize=16,color="green",shape="box"];190[label="False",fontsize=16,color="green",shape="box"];191[label="True",fontsize=16,color="green",shape="box"];192[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];192 -> 232[label="",style="solid", color="black", weight=3];
193[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];193 -> 233[label="",style="solid", color="black", weight=3];
194[label="True",fontsize=16,color="green",shape="box"];195 -> 259[label="",style="dashed", color="red", weight=0];
195[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];195 -> 264[label="",style="dashed", color="magenta", weight=3];
195 -> 265[label="",style="dashed", color="magenta", weight=3];
196 -> 259[label="",style="dashed", color="red", weight=0];
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820[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];260 -> 820[label="",style="solid", color="blue", weight=9];
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522 -> 624[label="",style="dashed", color="magenta", weight=3];
523[label="xv4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];524[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];525[label="xv4000\n  Eq a",fontsize=16,color="green",shape="box"];526[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];527[label="xv4000",fontsize=16,color="green",shape="box"];528[label="xv300",fontsize=16,color="green",shape="box"];529[label="xv4000",fontsize=16,color="green",shape="box"];530[label="xv300",fontsize=16,color="green",shape="box"];531[label="xv4000",fontsize=16,color="green",shape="box"];532[label="xv300",fontsize=16,color="green",shape="box"];533[label="xv4000",fontsize=16,color="green",shape="box"];534[label="xv300",fontsize=16,color="green",shape="box"];535[label="xv4000",fontsize=16,color="green",shape="box"];536[label="xv300",fontsize=16,color="green",shape="box"];537[label="xv4000\n  Eq a",fontsize=16,color="green",shape="box"];538[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];539[label="xv4000",fontsize=16,color="green",shape="box"];540[label="xv300",fontsize=16,color="green",shape="box"];541[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];542[label="xv4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];543[label="xv4000",fontsize=16,color="green",shape="box"];544[label="xv300",fontsize=16,color="green",shape="box"];545[label="xv4000",fontsize=16,color="green",shape="box"];546[label="xv300",fontsize=16,color="green",shape="box"];547[label="xv4000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];548[label="xv300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];549[label="xv4000\n  Integral a",fontsize=16,color="green",shape="box"];550[label="xv300\n  Integral a",fontsize=16,color="green",shape="box"];551[label="xv4001",fontsize=16,color="green",shape="box"];552[label="xv301",fontsize=16,color="green",shape="box"];553[label="xv4001",fontsize=16,color="green",shape="box"];554[label="xv301",fontsize=16,color="green",shape="box"];555[label="xv4000",fontsize=16,color="green",shape="box"];556[label="xv300",fontsize=16,color="green",shape="box"];557[label="xv4000",fontsize=16,color="green",shape="box"];558[label="xv300",fontsize=16,color="green",shape="box"];559[label="xv3000",fontsize=16,color="green",shape="box"];560[label="xv40000",fontsize=16,color="green",shape="box"];561[label="xv3000",fontsize=16,color="green",shape="box"];562[label="xv40000",fontsize=16,color="green",shape="box"];563 -> 229[label="",style="dashed", color="red", weight=0];
563[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];563 -> 625[label="",style="dashed", color="magenta", weight=3];
563 -> 626[label="",style="dashed", color="magenta", weight=3];
564[label="False",fontsize=16,color="green",shape="box"];565[label="False",fontsize=16,color="green",shape="box"];566[label="True",fontsize=16,color="green",shape="box"];567[label="primMulInt (Pos xv3010) xv4001",fontsize=16,color="burlywood",shape="box"];1031[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];567 -> 1031[label="",style="solid", color="burlywood", weight=9];
1031 -> 627[label="",style="solid", color="burlywood", weight=3];
1032[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];567 -> 1032[label="",style="solid", color="burlywood", weight=9];
1032 -> 628[label="",style="solid", color="burlywood", weight=3];
568[label="primMulInt (Neg xv3010) xv4001",fontsize=16,color="burlywood",shape="box"];1033[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];568 -> 1033[label="",style="solid", color="burlywood", weight=9];
1033 -> 629[label="",style="solid", color="burlywood", weight=3];
1034[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];568 -> 1034[label="",style="solid", color="burlywood", weight=9];
1034 -> 630[label="",style="solid", color="burlywood", weight=3];
569[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];570[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];571[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];572[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];573[label="xv4002",fontsize=16,color="green",shape="box"];574[label="xv302",fontsize=16,color="green",shape="box"];575[label="xv4002",fontsize=16,color="green",shape="box"];576[label="xv302",fontsize=16,color="green",shape="box"];577[label="xv4002",fontsize=16,color="green",shape="box"];578[label="xv302",fontsize=16,color="green",shape="box"];579[label="xv4002",fontsize=16,color="green",shape="box"];580[label="xv302",fontsize=16,color="green",shape="box"];581[label="xv4002",fontsize=16,color="green",shape="box"];582[label="xv302",fontsize=16,color="green",shape="box"];583[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];584[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];585[label="xv4002",fontsize=16,color="green",shape="box"];586[label="xv302",fontsize=16,color="green",shape="box"];587[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];588[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];589[label="xv4002",fontsize=16,color="green",shape="box"];590[label="xv302",fontsize=16,color="green",shape="box"];591[label="xv4002",fontsize=16,color="green",shape="box"];592[label="xv302",fontsize=16,color="green",shape="box"];593[label="xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];594[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];595[label="xv4002\n  Integral a",fontsize=16,color="green",shape="box"];596[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];597[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];598[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];599[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];600[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];601[label="xv4001",fontsize=16,color="green",shape="box"];602[label="xv301",fontsize=16,color="green",shape="box"];603[label="xv4001",fontsize=16,color="green",shape="box"];604[label="xv301",fontsize=16,color="green",shape="box"];605[label="xv4001",fontsize=16,color="green",shape="box"];606[label="xv301",fontsize=16,color="green",shape="box"];607[label="xv4001",fontsize=16,color="green",shape="box"];608[label="xv301",fontsize=16,color="green",shape="box"];609[label="xv4001",fontsize=16,color="green",shape="box"];610[label="xv301",fontsize=16,color="green",shape="box"];611[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];612[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];613[label="xv4001",fontsize=16,color="green",shape="box"];614[label="xv301",fontsize=16,color="green",shape="box"];615[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];616[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];617[label="xv4001",fontsize=16,color="green",shape="box"];618[label="xv301",fontsize=16,color="green",shape="box"];619[label="xv4001",fontsize=16,color="green",shape="box"];620[label="xv301",fontsize=16,color="green",shape="box"];621[label="xv4001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];622[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];623[label="xv4001\n  Integral a",fontsize=16,color="green",shape="box"];624[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];625[label="xv3000",fontsize=16,color="green",shape="box"];626[label="xv40000",fontsize=16,color="green",shape="box"];627[label="primMulInt (Pos xv3010) (Pos xv40010)",fontsize=16,color="black",shape="box"];627 -> 631[label="",style="solid", color="black", weight=3];
628[label="primMulInt (Pos xv3010) (Neg xv40010)",fontsize=16,color="black",shape="box"];628 -> 632[label="",style="solid", color="black", weight=3];
629[label="primMulInt (Neg xv3010) (Pos xv40010)",fontsize=16,color="black",shape="box"];629 -> 633[label="",style="solid", color="black", weight=3];
630[label="primMulInt (Neg xv3010) (Neg xv40010)",fontsize=16,color="black",shape="box"];630 -> 634[label="",style="solid", color="black", weight=3];
631[label="Pos (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];631 -> 635[label="",style="dashed", color="green", weight=3];
632[label="Neg (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];632 -> 636[label="",style="dashed", color="green", weight=3];
633[label="Neg (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];633 -> 637[label="",style="dashed", color="green", weight=3];
634[label="Pos (primMulNat xv3010 xv40010)",fontsize=16,color="green",shape="box"];634 -> 638[label="",style="dashed", color="green", weight=3];
635[label="primMulNat xv3010 xv40010",fontsize=16,color="burlywood",shape="triangle"];1035[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];635 -> 1035[label="",style="solid", color="burlywood", weight=9];
1035 -> 639[label="",style="solid", color="burlywood", weight=3];
1036[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];635 -> 1036[label="",style="solid", color="burlywood", weight=9];
1036 -> 640[label="",style="solid", color="burlywood", weight=3];
636 -> 635[label="",style="dashed", color="red", weight=0];
636[label="primMulNat xv3010 xv40010",fontsize=16,color="magenta"];636 -> 641[label="",style="dashed", color="magenta", weight=3];
637 -> 635[label="",style="dashed", color="red", weight=0];
637[label="primMulNat xv3010 xv40010",fontsize=16,color="magenta"];637 -> 642[label="",style="dashed", color="magenta", weight=3];
638 -> 635[label="",style="dashed", color="red", weight=0];
638[label="primMulNat xv3010 xv40010",fontsize=16,color="magenta"];638 -> 643[label="",style="dashed", color="magenta", weight=3];
638 -> 644[label="",style="dashed", color="magenta", weight=3];
639[label="primMulNat (Succ xv30100) xv40010",fontsize=16,color="burlywood",shape="box"];1040[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];639 -> 1040[label="",style="solid", color="burlywood", weight=9];
1040 -> 645[label="",style="solid", color="burlywood", weight=3];
1041[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];639 -> 1041[label="",style="solid", color="burlywood", weight=9];
1041 -> 646[label="",style="solid", color="burlywood", weight=3];
640[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];1042[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];640 -> 1042[label="",style="solid", color="burlywood", weight=9];
1042 -> 647[label="",style="solid", color="burlywood", weight=3];
1043[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];640 -> 1043[label="",style="solid", color="burlywood", weight=9];
1043 -> 648[label="",style="solid", color="burlywood", weight=3];
641[label="xv40010",fontsize=16,color="green",shape="box"];642[label="xv3010",fontsize=16,color="green",shape="box"];643[label="xv3010",fontsize=16,color="green",shape="box"];644[label="xv40010",fontsize=16,color="green",shape="box"];645[label="primMulNat (Succ xv30100) (Succ xv400100)",fontsize=16,color="black",shape="box"];645 -> 649[label="",style="solid", color="black", weight=3];
646[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];646 -> 650[label="",style="solid", color="black", weight=3];
647[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];647 -> 651[label="",style="solid", color="black", weight=3];
648[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];648 -> 652[label="",style="solid", color="black", weight=3];
649 -> 653[label="",style="dashed", color="red", weight=0];
649[label="primPlusNat (primMulNat xv30100 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];649 -> 654[label="",style="dashed", color="magenta", weight=3];
650[label="Zero",fontsize=16,color="green",shape="box"];651[label="Zero",fontsize=16,color="green",shape="box"];652[label="Zero",fontsize=16,color="green",shape="box"];654 -> 635[label="",style="dashed", color="red", weight=0];
654[label="primMulNat xv30100 (Succ xv400100)",fontsize=16,color="magenta"];654 -> 655[label="",style="dashed", color="magenta", weight=3];
654 -> 656[label="",style="dashed", color="magenta", weight=3];
653[label="primPlusNat xv24 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];1046[label="xv24/Succ xv240",fontsize=10,color="white",style="solid",shape="box"];653 -> 1046[label="",style="solid", color="burlywood", weight=9];
1046 -> 657[label="",style="solid", color="burlywood", weight=3];
1047[label="xv24/Zero",fontsize=10,color="white",style="solid",shape="box"];653 -> 1047[label="",style="solid", color="burlywood", weight=9];
1047 -> 658[label="",style="solid", color="burlywood", weight=3];
655[label="xv30100",fontsize=16,color="green",shape="box"];656[label="Succ xv400100",fontsize=16,color="green",shape="box"];657[label="primPlusNat (Succ xv240) (Succ xv400100)",fontsize=16,color="black",shape="box"];657 -> 659[label="",style="solid", color="black", weight=3];
658[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];658 -> 660[label="",style="solid", color="black", weight=3];
659[label="Succ (Succ (primPlusNat xv240 xv400100))",fontsize=16,color="green",shape="box"];659 -> 661[label="",style="dashed", color="green", weight=3];
660[label="Succ xv400100",fontsize=16,color="green",shape="box"];661[label="primPlusNat xv240 xv400100",fontsize=16,color="burlywood",shape="triangle"];1048[label="xv240/Succ xv2400",fontsize=10,color="white",style="solid",shape="box"];661 -> 1048[label="",style="solid", color="burlywood", weight=9];
1048 -> 662[label="",style="solid", color="burlywood", weight=3];
1049[label="xv240/Zero",fontsize=10,color="white",style="solid",shape="box"];661 -> 1049[label="",style="solid", color="burlywood", weight=9];
1049 -> 663[label="",style="solid", color="burlywood", weight=3];
662[label="primPlusNat (Succ xv2400) xv400100",fontsize=16,color="burlywood",shape="box"];1050[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];662 -> 1050[label="",style="solid", color="burlywood", weight=9];
1050 -> 664[label="",style="solid", color="burlywood", weight=3];
1051[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];662 -> 1051[label="",style="solid", color="burlywood", weight=9];
1051 -> 665[label="",style="solid", color="burlywood", weight=3];
663[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];1052[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];663 -> 1052[label="",style="solid", color="burlywood", weight=9];
1052 -> 666[label="",style="solid", color="burlywood", weight=3];
1053[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];663 -> 1053[label="",style="solid", color="burlywood", weight=9];
1053 -> 667[label="",style="solid", color="burlywood", weight=3];
664[label="primPlusNat (Succ xv2400) (Succ xv4001000)",fontsize=16,color="black",shape="box"];664 -> 668[label="",style="solid", color="black", weight=3];
665[label="primPlusNat (Succ xv2400) Zero",fontsize=16,color="black",shape="box"];665 -> 669[label="",style="solid", color="black", weight=3];
666[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];666 -> 670[label="",style="solid", color="black", weight=3];
667[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];667 -> 671[label="",style="solid", color="black", weight=3];
668[label="Succ (Succ (primPlusNat xv2400 xv4001000))",fontsize=16,color="green",shape="box"];668 -> 672[label="",style="dashed", color="green", weight=3];
669[label="Succ xv2400",fontsize=16,color="green",shape="box"];670[label="Succ xv4001000",fontsize=16,color="green",shape="box"];671[label="Zero",fontsize=16,color="green",shape="box"];672 -> 661[label="",style="dashed", color="red", weight=0];
672[label="primPlusNat xv2400 xv4001000",fontsize=16,color="magenta"];672 -> 673[label="",style="dashed", color="magenta", weight=3];
672 -> 674[label="",style="dashed", color="magenta", weight=3];
673[label="xv4001000",fontsize=16,color="green",shape="box"];674[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(xv4001000)) → new_primPlusNat(xv2400, xv4001000)

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

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

new_primPlusNat(Succ(xv2400), Succ(xv4001000)) → new_primPlusNat(xv2400, xv4001000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

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

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

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

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

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

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

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

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

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

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

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