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

YES 1.53 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule Main

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

module Main where

import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule Main

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

module Main where

import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

mainModule Main

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

module Main where

import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="elem\n  Eq a",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="elem xv3\n  Eq a",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="elem xv3 xv4\n  Eq a",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="any . (==)\n  Eq a",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="any ((==) xv3) xv4\n  Eq a",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
7[label="or . map ((==) xv3)\n  Eq a",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
8[label="or (map ((==) xv3) xv4)\n  Eq a",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9[label="foldr (||) False (map ((==) xv3) xv4)\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];729[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 729[label="",style="solid", color="burlywood", weight=9];
729 -> 10[label="",style="solid", color="burlywood", weight=3];
730[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 730[label="",style="solid", color="burlywood", weight=9];
730 -> 11[label="",style="solid", color="burlywood", weight=3];
10[label="foldr (||) False (map ((==) xv3) (xv40 : xv41))\n  Eq a",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
11[label="foldr (||) False (map ((==) xv3) [])\n  Eq a",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
12[label="foldr (||) False (((==) xv3 xv40) : map ((==) xv3) xv41)\n  Eq a",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
13[label="foldr (||) False []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3];
14 -> 110[label="",style="dashed", color="red", weight=0];
14[label="(||) (==) xv3 xv40 foldr (||) False (map ((==) xv3) xv41)\n  Eq a",fontsize=16,color="magenta"];14 -> 111[label="",style="dashed", color="magenta", weight=3];
14 -> 112[label="",style="dashed", color="magenta", weight=3];
15[label="False",fontsize=16,color="green",shape="box"];111 -> 9[label="",style="dashed", color="red", weight=0];
111[label="foldr (||) False (map ((==) xv3) xv41)\n  Eq a",fontsize=16,color="magenta"];111 -> 129[label="",style="dashed", color="magenta", weight=3];
112[label="(==) xv3 xv40\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];733[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];112 -> 733[label="",style="solid", color="burlywood", weight=9];
733 -> 130[label="",style="solid", color="burlywood", weight=3];
734[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];112 -> 734[label="",style="solid", color="burlywood", weight=9];
734 -> 131[label="",style="solid", color="burlywood", weight=3];
110[label="(||) xv18 xv19",fontsize=16,color="burlywood",shape="triangle"];735[label="xv18/False",fontsize=10,color="white",style="solid",shape="box"];110 -> 735[label="",style="solid", color="burlywood", weight=9];
735 -> 132[label="",style="solid", color="burlywood", weight=3];
736[label="xv18/True",fontsize=10,color="white",style="solid",shape="box"];110 -> 736[label="",style="solid", color="burlywood", weight=9];
736 -> 133[label="",style="solid", color="burlywood", weight=3];
129[label="xv41\n  Eq a",fontsize=16,color="green",shape="box"];130[label="(==) xv30 : xv31 xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];737[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];130 -> 737[label="",style="solid", color="burlywood", weight=9];
737 -> 134[label="",style="solid", color="burlywood", weight=3];
738[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];130 -> 738[label="",style="solid", color="burlywood", weight=9];
738 -> 135[label="",style="solid", color="burlywood", weight=3];
131[label="(==) [] xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];739[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];131 -> 739[label="",style="solid", color="burlywood", weight=9];
739 -> 136[label="",style="solid", color="burlywood", weight=3];
740[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];131 -> 740[label="",style="solid", color="burlywood", weight=9];
740 -> 137[label="",style="solid", color="burlywood", weight=3];
132[label="(||) False xv19",fontsize=16,color="black",shape="box"];132 -> 138[label="",style="solid", color="black", weight=3];
133[label="(||) True xv19",fontsize=16,color="black",shape="box"];133 -> 139[label="",style="solid", color="black", weight=3];
134[label="(==) xv30 : xv31 xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];134 -> 140[label="",style="solid", color="black", weight=3];
135[label="(==) xv30 : xv31 []\n  Eq a",fontsize=16,color="black",shape="box"];135 -> 141[label="",style="solid", color="black", weight=3];
136[label="(==) [] xv400 : xv401\n  Eq a",fontsize=16,color="black",shape="box"];136 -> 142[label="",style="solid", color="black", weight=3];
137[label="(==) [] []\n  Eq a",fontsize=16,color="black",shape="box"];137 -> 143[label="",style="solid", color="black", weight=3];
138[label="xv19",fontsize=16,color="green",shape="box"];139[label="True",fontsize=16,color="green",shape="box"];140 -> 148[label="",style="dashed", color="red", weight=0];
140[label="xv30 == xv400 && xv31 == xv401\n  Eq a",fontsize=16,color="magenta"];140 -> 149[label="",style="dashed", color="magenta", weight=3];
140 -> 150[label="",style="dashed", color="magenta", weight=3];
141[label="False",fontsize=16,color="green",shape="box"];142[label="False",fontsize=16,color="green",shape="box"];143[label="True",fontsize=16,color="green",shape="box"];149[label="xv30 == xv400\n  Eq a",fontsize=16,color="blue",shape="box"];742[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 742[label="",style="solid", color="blue", weight=9];
742 -> 153[label="",style="solid", color="blue", weight=3];
743[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 743[label="",style="solid", color="blue", weight=9];
743 -> 154[label="",style="solid", color="blue", weight=3];
744[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 744[label="",style="solid", color="blue", weight=9];
744 -> 155[label="",style="solid", color="blue", weight=3];
745[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 745[label="",style="solid", color="blue", weight=9];
745 -> 156[label="",style="solid", color="blue", weight=3];
746[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 746[label="",style="solid", color="blue", weight=9];
746 -> 157[label="",style="solid", color="blue", weight=3];
747[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 747[label="",style="solid", color="blue", weight=9];
747 -> 158[label="",style="solid", color="blue", weight=3];
748[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 748[label="",style="solid", color="blue", weight=9];
748 -> 159[label="",style="solid", color="blue", weight=3];
749[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 749[label="",style="solid", color="blue", weight=9];
749 -> 160[label="",style="solid", color="blue", weight=3];
750[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 750[label="",style="solid", color="blue", weight=9];
750 -> 161[label="",style="solid", color="blue", weight=3];
751[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 751[label="",style="solid", color="blue", weight=9];
751 -> 162[label="",style="solid", color="blue", weight=3];
752[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 752[label="",style="solid", color="blue", weight=9];
752 -> 163[label="",style="solid", color="blue", weight=3];
753[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 753[label="",style="solid", color="blue", weight=9];
753 -> 164[label="",style="solid", color="blue", weight=3];
754[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 754[label="",style="solid", color="blue", weight=9];
754 -> 165[label="",style="solid", color="blue", weight=3];
755[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 755[label="",style="solid", color="blue", weight=9];
755 -> 166[label="",style="solid", color="blue", weight=3];
150 -> 112[label="",style="dashed", color="red", weight=0];
150[label="xv31 == xv401\n  Eq a",fontsize=16,color="magenta"];150 -> 167[label="",style="dashed", color="magenta", weight=3];
150 -> 168[label="",style="dashed", color="magenta", weight=3];
148[label="xv24 && xv25",fontsize=16,color="burlywood",shape="triangle"];757[label="xv24/False",fontsize=10,color="white",style="solid",shape="box"];148 -> 757[label="",style="solid", color="burlywood", weight=9];
757 -> 169[label="",style="solid", color="burlywood", weight=3];
758[label="xv24/True",fontsize=10,color="white",style="solid",shape="box"];148 -> 758[label="",style="solid", color="burlywood", weight=9];
758 -> 170[label="",style="solid", color="burlywood", weight=3];
153[label="xv30 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];759[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];153 -> 759[label="",style="solid", color="burlywood", weight=9];
759 -> 171[label="",style="solid", color="burlywood", weight=3];
154 -> 112[label="",style="dashed", color="red", weight=0];
154[label="xv30 == xv400\n  Eq a",fontsize=16,color="magenta"];154 -> 172[label="",style="dashed", color="magenta", weight=3];
154 -> 173[label="",style="dashed", color="magenta", weight=3];
155[label="xv30 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];761[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];155 -> 761[label="",style="solid", color="burlywood", weight=9];
761 -> 174[label="",style="solid", color="burlywood", weight=3];
762[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];155 -> 762[label="",style="solid", color="burlywood", weight=9];
762 -> 175[label="",style="solid", color="burlywood", weight=3];
156[label="xv30 == xv400\n  Integral a",fontsize=16,color="burlywood",shape="triangle"];763[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];156 -> 763[label="",style="solid", color="burlywood", weight=9];
763 -> 176[label="",style="solid", color="burlywood", weight=3];
157[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];764[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];157 -> 764[label="",style="solid", color="burlywood", weight=9];
764 -> 177[label="",style="solid", color="burlywood", weight=3];
158[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];765[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];158 -> 765[label="",style="solid", color="burlywood", weight=9];
765 -> 178[label="",style="solid", color="burlywood", weight=3];
766[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];158 -> 766[label="",style="solid", color="burlywood", weight=9];
766 -> 179[label="",style="solid", color="burlywood", weight=3];
767[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];158 -> 767[label="",style="solid", color="burlywood", weight=9];
767 -> 180[label="",style="solid", color="burlywood", weight=3];
159[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];159 -> 181[label="",style="solid", color="black", weight=3];
160[label="xv30 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];768[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];160 -> 768[label="",style="solid", color="burlywood", weight=9];
768 -> 182[label="",style="solid", color="burlywood", weight=3];
769[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];160 -> 769[label="",style="solid", color="burlywood", weight=9];
769 -> 183[label="",style="solid", color="burlywood", weight=3];
161[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];770[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];161 -> 770[label="",style="solid", color="burlywood", weight=9];
770 -> 184[label="",style="solid", color="burlywood", weight=3];
162[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];771[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];162 -> 771[label="",style="solid", color="burlywood", weight=9];
771 -> 185[label="",style="solid", color="burlywood", weight=3];
772[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];162 -> 772[label="",style="solid", color="burlywood", weight=9];
772 -> 186[label="",style="solid", color="burlywood", weight=3];
163[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];163 -> 187[label="",style="solid", color="black", weight=3];
164[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];164 -> 188[label="",style="solid", color="black", weight=3];
165[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];165 -> 189[label="",style="solid", color="black", weight=3];
166[label="xv30 == xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="triangle"];773[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];166 -> 773[label="",style="solid", color="burlywood", weight=9];
773 -> 190[label="",style="solid", color="burlywood", weight=3];
167[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];168[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];169[label="False && xv25",fontsize=16,color="black",shape="box"];169 -> 191[label="",style="solid", color="black", weight=3];
170[label="True && xv25",fontsize=16,color="black",shape="box"];170 -> 192[label="",style="solid", color="black", weight=3];
171[label="(xv300,xv301) == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];774[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];171 -> 774[label="",style="solid", color="burlywood", weight=9];
774 -> 193[label="",style="solid", color="burlywood", weight=3];
172[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];173[label="xv30\n  Eq a",fontsize=16,color="green",shape="box"];174[label="Nothing == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];775[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];174 -> 775[label="",style="solid", color="burlywood", weight=9];
775 -> 194[label="",style="solid", color="burlywood", weight=3];
776[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];174 -> 776[label="",style="solid", color="burlywood", weight=9];
776 -> 195[label="",style="solid", color="burlywood", weight=3];
175[label="Just xv300 == xv400\n  Eq a",fontsize=16,color="burlywood",shape="box"];777[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];175 -> 777[label="",style="solid", color="burlywood", weight=9];
777 -> 196[label="",style="solid", color="burlywood", weight=3];
778[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];175 -> 778[label="",style="solid", color="burlywood", weight=9];
778 -> 197[label="",style="solid", color="burlywood", weight=3];
176[label="xv300 :% xv301 == xv400\n  Integral a",fontsize=16,color="burlywood",shape="box"];779[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];176 -> 779[label="",style="solid", color="burlywood", weight=9];
779 -> 198[label="",style="solid", color="burlywood", weight=3];
177[label="() == xv400",fontsize=16,color="burlywood",shape="box"];780[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];177 -> 780[label="",style="solid", color="burlywood", weight=9];
780 -> 199[label="",style="solid", color="burlywood", weight=3];
178[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];781[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];178 -> 781[label="",style="solid", color="burlywood", weight=9];
781 -> 200[label="",style="solid", color="burlywood", weight=3];
782[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];178 -> 782[label="",style="solid", color="burlywood", weight=9];
782 -> 201[label="",style="solid", color="burlywood", weight=3];
783[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];178 -> 783[label="",style="solid", color="burlywood", weight=9];
783 -> 202[label="",style="solid", color="burlywood", weight=3];
179[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];784[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];179 -> 784[label="",style="solid", color="burlywood", weight=9];
784 -> 203[label="",style="solid", color="burlywood", weight=3];
785[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];179 -> 785[label="",style="solid", color="burlywood", weight=9];
785 -> 204[label="",style="solid", color="burlywood", weight=3];
786[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];179 -> 786[label="",style="solid", color="burlywood", weight=9];
786 -> 205[label="",style="solid", color="burlywood", weight=3];
180[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];787[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];180 -> 787[label="",style="solid", color="burlywood", weight=9];
787 -> 206[label="",style="solid", color="burlywood", weight=3];
788[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];180 -> 788[label="",style="solid", color="burlywood", weight=9];
788 -> 207[label="",style="solid", color="burlywood", weight=3];
789[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];180 -> 789[label="",style="solid", color="burlywood", weight=9];
789 -> 208[label="",style="solid", color="burlywood", weight=3];
181[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];790[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];181 -> 790[label="",style="solid", color="burlywood", weight=9];
790 -> 209[label="",style="solid", color="burlywood", weight=3];
182[label="Left xv300 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];791[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];182 -> 791[label="",style="solid", color="burlywood", weight=9];
791 -> 210[label="",style="solid", color="burlywood", weight=3];
792[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];182 -> 792[label="",style="solid", color="burlywood", weight=9];
792 -> 211[label="",style="solid", color="burlywood", weight=3];
183[label="Right xv300 == xv400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];793[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];183 -> 793[label="",style="solid", color="burlywood", weight=9];
793 -> 212[label="",style="solid", color="burlywood", weight=3];
794[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];183 -> 794[label="",style="solid", color="burlywood", weight=9];
794 -> 213[label="",style="solid", color="burlywood", weight=3];
184[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];795[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];184 -> 795[label="",style="solid", color="burlywood", weight=9];
795 -> 214[label="",style="solid", color="burlywood", weight=3];
185[label="False == xv400",fontsize=16,color="burlywood",shape="box"];796[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];185 -> 796[label="",style="solid", color="burlywood", weight=9];
796 -> 215[label="",style="solid", color="burlywood", weight=3];
797[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];185 -> 797[label="",style="solid", color="burlywood", weight=9];
797 -> 216[label="",style="solid", color="burlywood", weight=3];
186[label="True == xv400",fontsize=16,color="burlywood",shape="box"];798[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];186 -> 798[label="",style="solid", color="burlywood", weight=9];
798 -> 217[label="",style="solid", color="burlywood", weight=3];
799[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];186 -> 799[label="",style="solid", color="burlywood", weight=9];
799 -> 218[label="",style="solid", color="burlywood", weight=3];
187[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];800[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];187 -> 800[label="",style="solid", color="burlywood", weight=9];
800 -> 219[label="",style="solid", color="burlywood", weight=3];
188[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];801[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];188 -> 801[label="",style="solid", color="burlywood", weight=9];
801 -> 220[label="",style="solid", color="burlywood", weight=3];
189[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];802[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];189 -> 802[label="",style="solid", color="burlywood", weight=9];
802 -> 221[label="",style="solid", color="burlywood", weight=3];
803[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];189 -> 803[label="",style="solid", color="burlywood", weight=9];
803 -> 222[label="",style="solid", color="burlywood", weight=3];
190[label="(xv300,xv301,xv302) == xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];804[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];190 -> 804[label="",style="solid", color="burlywood", weight=9];
804 -> 223[label="",style="solid", color="burlywood", weight=3];
191[label="False",fontsize=16,color="green",shape="box"];192[label="xv25",fontsize=16,color="green",shape="box"];193[label="(xv300,xv301) == (xv4000,xv4001)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];193 -> 224[label="",style="solid", color="black", weight=3];
194[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];194 -> 225[label="",style="solid", color="black", weight=3];
195[label="Nothing == Just xv4000\n  Eq a",fontsize=16,color="black",shape="box"];195 -> 226[label="",style="solid", color="black", weight=3];
196[label="Just xv300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];196 -> 227[label="",style="solid", color="black", weight=3];
197[label="Just xv300 == Just xv4000\n  Eq a",fontsize=16,color="black",shape="box"];197 -> 228[label="",style="solid", color="black", weight=3];
198[label="xv300 :% xv301 == xv4000 :% xv4001\n  Integral a",fontsize=16,color="black",shape="box"];198 -> 229[label="",style="solid", color="black", weight=3];
199[label="() == ()",fontsize=16,color="black",shape="box"];199 -> 230[label="",style="solid", color="black", weight=3];
200[label="LT == LT",fontsize=16,color="black",shape="box"];200 -> 231[label="",style="solid", color="black", weight=3];
201[label="LT == EQ",fontsize=16,color="black",shape="box"];201 -> 232[label="",style="solid", color="black", weight=3];
202[label="LT == GT",fontsize=16,color="black",shape="box"];202 -> 233[label="",style="solid", color="black", weight=3];
203[label="EQ == LT",fontsize=16,color="black",shape="box"];203 -> 234[label="",style="solid", color="black", weight=3];
204[label="EQ == EQ",fontsize=16,color="black",shape="box"];204 -> 235[label="",style="solid", color="black", weight=3];
205[label="EQ == GT",fontsize=16,color="black",shape="box"];205 -> 236[label="",style="solid", color="black", weight=3];
206[label="GT == LT",fontsize=16,color="black",shape="box"];206 -> 237[label="",style="solid", color="black", weight=3];
207[label="GT == EQ",fontsize=16,color="black",shape="box"];207 -> 238[label="",style="solid", color="black", weight=3];
208[label="GT == GT",fontsize=16,color="black",shape="box"];208 -> 239[label="",style="solid", color="black", weight=3];
209[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];805[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];209 -> 805[label="",style="solid", color="burlywood", weight=9];
805 -> 240[label="",style="solid", color="burlywood", weight=3];
210[label="Left xv300 == Left xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];210 -> 241[label="",style="solid", color="black", weight=3];
211[label="Left xv300 == Right xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];211 -> 242[label="",style="solid", color="black", weight=3];
212[label="Right xv300 == Left xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];212 -> 243[label="",style="solid", color="black", weight=3];
213[label="Right xv300 == Right xv4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];213 -> 244[label="",style="solid", color="black", weight=3];
214[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];214 -> 245[label="",style="solid", color="black", weight=3];
215[label="False == False",fontsize=16,color="black",shape="box"];215 -> 246[label="",style="solid", color="black", weight=3];
216[label="False == True",fontsize=16,color="black",shape="box"];216 -> 247[label="",style="solid", color="black", weight=3];
217[label="True == False",fontsize=16,color="black",shape="box"];217 -> 248[label="",style="solid", color="black", weight=3];
218[label="True == True",fontsize=16,color="black",shape="box"];218 -> 249[label="",style="solid", color="black", weight=3];
219[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];806[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];219 -> 806[label="",style="solid", color="burlywood", weight=9];
806 -> 250[label="",style="solid", color="burlywood", weight=3];
220[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];807[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];220 -> 807[label="",style="solid", color="burlywood", weight=9];
807 -> 251[label="",style="solid", color="burlywood", weight=3];
221[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];808[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];221 -> 808[label="",style="solid", color="burlywood", weight=9];
808 -> 252[label="",style="solid", color="burlywood", weight=3];
809[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];221 -> 809[label="",style="solid", color="burlywood", weight=9];
809 -> 253[label="",style="solid", color="burlywood", weight=3];
222[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];810[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];222 -> 810[label="",style="solid", color="burlywood", weight=9];
810 -> 254[label="",style="solid", color="burlywood", weight=3];
811[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];222 -> 811[label="",style="solid", color="burlywood", weight=9];
811 -> 255[label="",style="solid", color="burlywood", weight=3];
223[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];223 -> 256[label="",style="solid", color="black", weight=3];
224 -> 148[label="",style="dashed", color="red", weight=0];
224[label="xv300 == xv4000 && xv301 == xv4001\n  Eq a  Eq b",fontsize=16,color="magenta"];224 -> 257[label="",style="dashed", color="magenta", weight=3];
224 -> 258[label="",style="dashed", color="magenta", weight=3];
225[label="True",fontsize=16,color="green",shape="box"];226[label="False",fontsize=16,color="green",shape="box"];227[label="False",fontsize=16,color="green",shape="box"];228[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];813[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 813[label="",style="solid", color="blue", weight=9];
813 -> 259[label="",style="solid", color="blue", weight=3];
814[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 814[label="",style="solid", color="blue", weight=9];
814 -> 260[label="",style="solid", color="blue", weight=3];
815[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 815[label="",style="solid", color="blue", weight=9];
815 -> 261[label="",style="solid", color="blue", weight=3];
816[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 816[label="",style="solid", color="blue", weight=9];
816 -> 262[label="",style="solid", color="blue", weight=3];
817[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 817[label="",style="solid", color="blue", weight=9];
817 -> 263[label="",style="solid", color="blue", weight=3];
818[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 818[label="",style="solid", color="blue", weight=9];
818 -> 264[label="",style="solid", color="blue", weight=3];
819[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 819[label="",style="solid", color="blue", weight=9];
819 -> 265[label="",style="solid", color="blue", weight=3];
820[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 820[label="",style="solid", color="blue", weight=9];
820 -> 266[label="",style="solid", color="blue", weight=3];
821[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 821[label="",style="solid", color="blue", weight=9];
821 -> 267[label="",style="solid", color="blue", weight=3];
822[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 822[label="",style="solid", color="blue", weight=9];
822 -> 268[label="",style="solid", color="blue", weight=3];
823[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 823[label="",style="solid", color="blue", weight=9];
823 -> 269[label="",style="solid", color="blue", weight=3];
824[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 824[label="",style="solid", color="blue", weight=9];
824 -> 270[label="",style="solid", color="blue", weight=3];
825[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 825[label="",style="solid", color="blue", weight=9];
825 -> 271[label="",style="solid", color="blue", weight=3];
826[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 826[label="",style="solid", color="blue", weight=9];
826 -> 272[label="",style="solid", color="blue", weight=3];
229 -> 148[label="",style="dashed", color="red", weight=0];
229[label="xv300 == xv4000 && xv301 == xv4001\n  Integral a",fontsize=16,color="magenta"];229 -> 273[label="",style="dashed", color="magenta", weight=3];
229 -> 274[label="",style="dashed", color="magenta", weight=3];
230[label="True",fontsize=16,color="green",shape="box"];231[label="True",fontsize=16,color="green",shape="box"];232[label="False",fontsize=16,color="green",shape="box"];233[label="False",fontsize=16,color="green",shape="box"];234[label="False",fontsize=16,color="green",shape="box"];235[label="True",fontsize=16,color="green",shape="box"];236[label="False",fontsize=16,color="green",shape="box"];237[label="False",fontsize=16,color="green",shape="box"];238[label="False",fontsize=16,color="green",shape="box"];239[label="True",fontsize=16,color="green",shape="box"];240[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];240 -> 275[label="",style="solid", color="black", weight=3];
241[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];828[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 828[label="",style="solid", color="blue", weight=9];
828 -> 276[label="",style="solid", color="blue", weight=3];
829[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 829[label="",style="solid", color="blue", weight=9];
829 -> 277[label="",style="solid", color="blue", weight=3];
830[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 830[label="",style="solid", color="blue", weight=9];
830 -> 278[label="",style="solid", color="blue", weight=3];
831[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 831[label="",style="solid", color="blue", weight=9];
831 -> 279[label="",style="solid", color="blue", weight=3];
832[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 832[label="",style="solid", color="blue", weight=9];
832 -> 280[label="",style="solid", color="blue", weight=3];
833[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 833[label="",style="solid", color="blue", weight=9];
833 -> 281[label="",style="solid", color="blue", weight=3];
834[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 834[label="",style="solid", color="blue", weight=9];
834 -> 282[label="",style="solid", color="blue", weight=3];
835[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 835[label="",style="solid", color="blue", weight=9];
835 -> 283[label="",style="solid", color="blue", weight=3];
836[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 836[label="",style="solid", color="blue", weight=9];
836 -> 284[label="",style="solid", color="blue", weight=3];
837[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 837[label="",style="solid", color="blue", weight=9];
837 -> 285[label="",style="solid", color="blue", weight=3];
838[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 838[label="",style="solid", color="blue", weight=9];
838 -> 286[label="",style="solid", color="blue", weight=3];
839[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 839[label="",style="solid", color="blue", weight=9];
839 -> 287[label="",style="solid", color="blue", weight=3];
840[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 840[label="",style="solid", color="blue", weight=9];
840 -> 288[label="",style="solid", color="blue", weight=3];
841[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];241 -> 841[label="",style="solid", color="blue", weight=9];
841 -> 289[label="",style="solid", color="blue", weight=3];
242[label="False",fontsize=16,color="green",shape="box"];243[label="False",fontsize=16,color="green",shape="box"];244[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];842[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 842[label="",style="solid", color="blue", weight=9];
842 -> 290[label="",style="solid", color="blue", weight=3];
843[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 843[label="",style="solid", color="blue", weight=9];
843 -> 291[label="",style="solid", color="blue", weight=3];
844[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 844[label="",style="solid", color="blue", weight=9];
844 -> 292[label="",style="solid", color="blue", weight=3];
845[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 845[label="",style="solid", color="blue", weight=9];
845 -> 293[label="",style="solid", color="blue", weight=3];
846[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 846[label="",style="solid", color="blue", weight=9];
846 -> 294[label="",style="solid", color="blue", weight=3];
847[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 847[label="",style="solid", color="blue", weight=9];
847 -> 295[label="",style="solid", color="blue", weight=3];
848[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 848[label="",style="solid", color="blue", weight=9];
848 -> 296[label="",style="solid", color="blue", weight=3];
849[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 849[label="",style="solid", color="blue", weight=9];
849 -> 297[label="",style="solid", color="blue", weight=3];
850[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 850[label="",style="solid", color="blue", weight=9];
850 -> 298[label="",style="solid", color="blue", weight=3];
851[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 851[label="",style="solid", color="blue", weight=9];
851 -> 299[label="",style="solid", color="blue", weight=3];
852[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 852[label="",style="solid", color="blue", weight=9];
852 -> 300[label="",style="solid", color="blue", weight=3];
853[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 853[label="",style="solid", color="blue", weight=9];
853 -> 301[label="",style="solid", color="blue", weight=3];
854[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 854[label="",style="solid", color="blue", weight=9];
854 -> 302[label="",style="solid", color="blue", weight=3];
855[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];244 -> 855[label="",style="solid", color="blue", weight=9];
855 -> 303[label="",style="solid", color="blue", weight=3];
245 -> 189[label="",style="dashed", color="red", weight=0];
245[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];245 -> 304[label="",style="dashed", color="magenta", weight=3];
245 -> 305[label="",style="dashed", color="magenta", weight=3];
246[label="True",fontsize=16,color="green",shape="box"];247[label="False",fontsize=16,color="green",shape="box"];248[label="False",fontsize=16,color="green",shape="box"];249[label="True",fontsize=16,color="green",shape="box"];250[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];250 -> 306[label="",style="solid", color="black", weight=3];
251[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];251 -> 307[label="",style="solid", color="black", weight=3];
252[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];857[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];252 -> 857[label="",style="solid", color="burlywood", weight=9];
857 -> 308[label="",style="solid", color="burlywood", weight=3];
858[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];252 -> 858[label="",style="solid", color="burlywood", weight=9];
858 -> 309[label="",style="solid", color="burlywood", weight=3];
253[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];859[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];253 -> 859[label="",style="solid", color="burlywood", weight=9];
859 -> 310[label="",style="solid", color="burlywood", weight=3];
860[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];253 -> 860[label="",style="solid", color="burlywood", weight=9];
860 -> 311[label="",style="solid", color="burlywood", weight=3];
254[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];861[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];254 -> 861[label="",style="solid", color="burlywood", weight=9];
861 -> 312[label="",style="solid", color="burlywood", weight=3];
862[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];254 -> 862[label="",style="solid", color="burlywood", weight=9];
862 -> 313[label="",style="solid", color="burlywood", weight=3];
255[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];863[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];255 -> 863[label="",style="solid", color="burlywood", weight=9];
863 -> 314[label="",style="solid", color="burlywood", weight=3];
864[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];255 -> 864[label="",style="solid", color="burlywood", weight=9];
864 -> 315[label="",style="solid", color="burlywood", weight=3];
256 -> 148[label="",style="dashed", color="red", weight=0];
256[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];256 -> 316[label="",style="dashed", color="magenta", weight=3];
256 -> 317[label="",style="dashed", color="magenta", weight=3];
257[label="xv300 == xv4000\n  Eq a",fontsize=16,color="blue",shape="box"];866[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 866[label="",style="solid", color="blue", weight=9];
866 -> 318[label="",style="solid", color="blue", weight=3];
867[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 867[label="",style="solid", color="blue", weight=9];
867 -> 319[label="",style="solid", color="blue", weight=3];
868[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 868[label="",style="solid", color="blue", weight=9];
868 -> 320[label="",style="solid", color="blue", weight=3];
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608 -> 670[label="",style="dashed", color="magenta", weight=3];
609 -> 163[label="",style="dashed", color="red", weight=0];
609[label="xv302 == xv4002",fontsize=16,color="magenta"];609 -> 671[label="",style="dashed", color="magenta", weight=3];
609 -> 672[label="",style="dashed", color="magenta", weight=3];
610 -> 164[label="",style="dashed", color="red", weight=0];
610[label="xv302 == xv4002",fontsize=16,color="magenta"];610 -> 673[label="",style="dashed", color="magenta", weight=3];
610 -> 674[label="",style="dashed", color="magenta", weight=3];
611 -> 165[label="",style="dashed", color="red", weight=0];
611[label="xv302 == xv4002",fontsize=16,color="magenta"];611 -> 675[label="",style="dashed", color="magenta", weight=3];
611 -> 676[label="",style="dashed", color="magenta", weight=3];
612 -> 166[label="",style="dashed", color="red", weight=0];
612[label="xv302 == xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];612 -> 677[label="",style="dashed", color="magenta", weight=3];
612 -> 678[label="",style="dashed", color="magenta", weight=3];
613[label="primMulInt (Pos xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];1084[label="xv4000/Pos xv40000",fontsize=10,color="white",style="solid",shape="box"];613 -> 1084[label="",style="solid", color="burlywood", weight=9];
1084 -> 679[label="",style="solid", color="burlywood", weight=3];
1085[label="xv4000/Neg xv40000",fontsize=10,color="white",style="solid",shape="box"];613 -> 1085[label="",style="solid", color="burlywood", weight=9];
1085 -> 680[label="",style="solid", color="burlywood", weight=3];
614[label="primMulInt (Neg xv3000) xv4000",fontsize=16,color="burlywood",shape="box"];1086[label="xv4000/Pos xv40000",fontsize=10,color="white",style="solid",shape="box"];614 -> 1086[label="",style="solid", color="burlywood", weight=9];
1086 -> 681[label="",style="solid", color="burlywood", weight=3];
1087[label="xv4000/Neg xv40000",fontsize=10,color="white",style="solid",shape="box"];614 -> 1087[label="",style="solid", color="burlywood", weight=9];
1087 -> 682[label="",style="solid", color="burlywood", weight=3];
615 -> 306[label="",style="dashed", color="red", weight=0];
615[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];615 -> 683[label="",style="dashed", color="magenta", weight=3];
615 -> 684[label="",style="dashed", color="magenta", weight=3];
616[label="False",fontsize=16,color="green",shape="box"];617[label="False",fontsize=16,color="green",shape="box"];618[label="True",fontsize=16,color="green",shape="box"];619[label="xv40000",fontsize=16,color="green",shape="box"];620[label="xv3000",fontsize=16,color="green",shape="box"];621[label="xv40000",fontsize=16,color="green",shape="box"];622[label="xv3000",fontsize=16,color="green",shape="box"];623[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];624[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];625[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];626[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];627[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];628[label="xv4001\n  Eq a",fontsize=16,color="green",shape="box"];629[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];630[label="xv4001\n  Integral a",fontsize=16,color="green",shape="box"];631[label="xv301",fontsize=16,color="green",shape="box"];632[label="xv4001",fontsize=16,color="green",shape="box"];633[label="xv301",fontsize=16,color="green",shape="box"];634[label="xv4001",fontsize=16,color="green",shape="box"];635[label="xv301",fontsize=16,color="green",shape="box"];636[label="xv4001",fontsize=16,color="green",shape="box"];637[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];638[label="xv4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];639[label="xv301",fontsize=16,color="green",shape="box"];640[label="xv4001",fontsize=16,color="green",shape="box"];641[label="xv301",fontsize=16,color="green",shape="box"];642[label="xv4001",fontsize=16,color="green",shape="box"];643[label="xv301",fontsize=16,color="green",shape="box"];644[label="xv4001",fontsize=16,color="green",shape="box"];645[label="xv301",fontsize=16,color="green",shape="box"];646[label="xv4001",fontsize=16,color="green",shape="box"];647[label="xv301",fontsize=16,color="green",shape="box"];648[label="xv4001",fontsize=16,color="green",shape="box"];649[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];650[label="xv4001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];651[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];652[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];653[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];654[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];655[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];656[label="xv4002\n  Eq a",fontsize=16,color="green",shape="box"];657[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];658[label="xv4002\n  Integral a",fontsize=16,color="green",shape="box"];659[label="xv302",fontsize=16,color="green",shape="box"];660[label="xv4002",fontsize=16,color="green",shape="box"];661[label="xv302",fontsize=16,color="green",shape="box"];662[label="xv4002",fontsize=16,color="green",shape="box"];663[label="xv302",fontsize=16,color="green",shape="box"];664[label="xv4002",fontsize=16,color="green",shape="box"];665[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];666[label="xv4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];667[label="xv302",fontsize=16,color="green",shape="box"];668[label="xv4002",fontsize=16,color="green",shape="box"];669[label="xv302",fontsize=16,color="green",shape="box"];670[label="xv4002",fontsize=16,color="green",shape="box"];671[label="xv302",fontsize=16,color="green",shape="box"];672[label="xv4002",fontsize=16,color="green",shape="box"];673[label="xv302",fontsize=16,color="green",shape="box"];674[label="xv4002",fontsize=16,color="green",shape="box"];675[label="xv302",fontsize=16,color="green",shape="box"];676[label="xv4002",fontsize=16,color="green",shape="box"];677[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];678[label="xv4002\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];679[label="primMulInt (Pos xv3000) (Pos xv40000)",fontsize=16,color="black",shape="box"];679 -> 685[label="",style="solid", color="black", weight=3];
680[label="primMulInt (Pos xv3000) (Neg xv40000)",fontsize=16,color="black",shape="box"];680 -> 686[label="",style="solid", color="black", weight=3];
681[label="primMulInt (Neg xv3000) (Pos xv40000)",fontsize=16,color="black",shape="box"];681 -> 687[label="",style="solid", color="black", weight=3];
682[label="primMulInt (Neg xv3000) (Neg xv40000)",fontsize=16,color="black",shape="box"];682 -> 688[label="",style="solid", color="black", weight=3];
683[label="xv40000",fontsize=16,color="green",shape="box"];684[label="xv3000",fontsize=16,color="green",shape="box"];685[label="Pos (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];685 -> 689[label="",style="dashed", color="green", weight=3];
686[label="Neg (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];686 -> 690[label="",style="dashed", color="green", weight=3];
687[label="Neg (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];687 -> 691[label="",style="dashed", color="green", weight=3];
688[label="Pos (primMulNat xv3000 xv40000)",fontsize=16,color="green",shape="box"];688 -> 692[label="",style="dashed", color="green", weight=3];
689[label="primMulNat xv3000 xv40000",fontsize=16,color="burlywood",shape="triangle"];1089[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];689 -> 1089[label="",style="solid", color="burlywood", weight=9];
1089 -> 693[label="",style="solid", color="burlywood", weight=3];
1090[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];689 -> 1090[label="",style="solid", color="burlywood", weight=9];
1090 -> 694[label="",style="solid", color="burlywood", weight=3];
690 -> 689[label="",style="dashed", color="red", weight=0];
690[label="primMulNat xv3000 xv40000",fontsize=16,color="magenta"];690 -> 695[label="",style="dashed", color="magenta", weight=3];
691 -> 689[label="",style="dashed", color="red", weight=0];
691[label="primMulNat xv3000 xv40000",fontsize=16,color="magenta"];691 -> 696[label="",style="dashed", color="magenta", weight=3];
692 -> 689[label="",style="dashed", color="red", weight=0];
692[label="primMulNat xv3000 xv40000",fontsize=16,color="magenta"];692 -> 697[label="",style="dashed", color="magenta", weight=3];
692 -> 698[label="",style="dashed", color="magenta", weight=3];
693[label="primMulNat (Succ xv30000) xv40000",fontsize=16,color="burlywood",shape="box"];1094[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];693 -> 1094[label="",style="solid", color="burlywood", weight=9];
1094 -> 699[label="",style="solid", color="burlywood", weight=3];
1095[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];693 -> 1095[label="",style="solid", color="burlywood", weight=9];
1095 -> 700[label="",style="solid", color="burlywood", weight=3];
694[label="primMulNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];1096[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];694 -> 1096[label="",style="solid", color="burlywood", weight=9];
1096 -> 701[label="",style="solid", color="burlywood", weight=3];
1097[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];694 -> 1097[label="",style="solid", color="burlywood", weight=9];
1097 -> 702[label="",style="solid", color="burlywood", weight=3];
695[label="xv40000",fontsize=16,color="green",shape="box"];696[label="xv3000",fontsize=16,color="green",shape="box"];697[label="xv3000",fontsize=16,color="green",shape="box"];698[label="xv40000",fontsize=16,color="green",shape="box"];699[label="primMulNat (Succ xv30000) (Succ xv400000)",fontsize=16,color="black",shape="box"];699 -> 703[label="",style="solid", color="black", weight=3];
700[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];700 -> 704[label="",style="solid", color="black", weight=3];
701[label="primMulNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];701 -> 705[label="",style="solid", color="black", weight=3];
702[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];702 -> 706[label="",style="solid", color="black", weight=3];
703 -> 707[label="",style="dashed", color="red", weight=0];
703[label="primPlusNat (primMulNat xv30000 (Succ xv400000)) (Succ xv400000)",fontsize=16,color="magenta"];703 -> 708[label="",style="dashed", color="magenta", weight=3];
704[label="Zero",fontsize=16,color="green",shape="box"];705[label="Zero",fontsize=16,color="green",shape="box"];706[label="Zero",fontsize=16,color="green",shape="box"];708 -> 689[label="",style="dashed", color="red", weight=0];
708[label="primMulNat xv30000 (Succ xv400000)",fontsize=16,color="magenta"];708 -> 709[label="",style="dashed", color="magenta", weight=3];
708 -> 710[label="",style="dashed", color="magenta", weight=3];
707[label="primPlusNat xv26 (Succ xv400000)",fontsize=16,color="burlywood",shape="triangle"];1100[label="xv26/Succ xv260",fontsize=10,color="white",style="solid",shape="box"];707 -> 1100[label="",style="solid", color="burlywood", weight=9];
1100 -> 711[label="",style="solid", color="burlywood", weight=3];
1101[label="xv26/Zero",fontsize=10,color="white",style="solid",shape="box"];707 -> 1101[label="",style="solid", color="burlywood", weight=9];
1101 -> 712[label="",style="solid", color="burlywood", weight=3];
709[label="xv30000",fontsize=16,color="green",shape="box"];710[label="Succ xv400000",fontsize=16,color="green",shape="box"];711[label="primPlusNat (Succ xv260) (Succ xv400000)",fontsize=16,color="black",shape="box"];711 -> 713[label="",style="solid", color="black", weight=3];
712[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];712 -> 714[label="",style="solid", color="black", weight=3];
713[label="Succ (Succ (primPlusNat xv260 xv400000))",fontsize=16,color="green",shape="box"];713 -> 715[label="",style="dashed", color="green", weight=3];
714[label="Succ xv400000",fontsize=16,color="green",shape="box"];715[label="primPlusNat xv260 xv400000",fontsize=16,color="burlywood",shape="triangle"];1102[label="xv260/Succ xv2600",fontsize=10,color="white",style="solid",shape="box"];715 -> 1102[label="",style="solid", color="burlywood", weight=9];
1102 -> 716[label="",style="solid", color="burlywood", weight=3];
1103[label="xv260/Zero",fontsize=10,color="white",style="solid",shape="box"];715 -> 1103[label="",style="solid", color="burlywood", weight=9];
1103 -> 717[label="",style="solid", color="burlywood", weight=3];
716[label="primPlusNat (Succ xv2600) xv400000",fontsize=16,color="burlywood",shape="box"];1104[label="xv400000/Succ xv4000000",fontsize=10,color="white",style="solid",shape="box"];716 -> 1104[label="",style="solid", color="burlywood", weight=9];
1104 -> 718[label="",style="solid", color="burlywood", weight=3];
1105[label="xv400000/Zero",fontsize=10,color="white",style="solid",shape="box"];716 -> 1105[label="",style="solid", color="burlywood", weight=9];
1105 -> 719[label="",style="solid", color="burlywood", weight=3];
717[label="primPlusNat Zero xv400000",fontsize=16,color="burlywood",shape="box"];1106[label="xv400000/Succ xv4000000",fontsize=10,color="white",style="solid",shape="box"];717 -> 1106[label="",style="solid", color="burlywood", weight=9];
1106 -> 720[label="",style="solid", color="burlywood", weight=3];
1107[label="xv400000/Zero",fontsize=10,color="white",style="solid",shape="box"];717 -> 1107[label="",style="solid", color="burlywood", weight=9];
1107 -> 721[label="",style="solid", color="burlywood", weight=3];
718[label="primPlusNat (Succ xv2600) (Succ xv4000000)",fontsize=16,color="black",shape="box"];718 -> 722[label="",style="solid", color="black", weight=3];
719[label="primPlusNat (Succ xv2600) Zero",fontsize=16,color="black",shape="box"];719 -> 723[label="",style="solid", color="black", weight=3];
720[label="primPlusNat Zero (Succ xv4000000)",fontsize=16,color="black",shape="box"];720 -> 724[label="",style="solid", color="black", weight=3];
721[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];721 -> 725[label="",style="solid", color="black", weight=3];
722[label="Succ (Succ (primPlusNat xv2600 xv4000000))",fontsize=16,color="green",shape="box"];722 -> 726[label="",style="dashed", color="green", weight=3];
723[label="Succ xv2600",fontsize=16,color="green",shape="box"];724[label="Succ xv4000000",fontsize=16,color="green",shape="box"];725[label="Zero",fontsize=16,color="green",shape="box"];726 -> 715[label="",style="dashed", color="red", weight=0];
726[label="primPlusNat xv2600 xv4000000",fontsize=16,color="magenta"];726 -> 727[label="",style="dashed", color="magenta", weight=3];
726 -> 728[label="",style="dashed", color="magenta", weight=3];
727[label="xv4000000",fontsize=16,color="green",shape="box"];728[label="xv2600",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(xv2600), Succ(xv4000000)) → new_primPlusNat(xv2600, xv4000000)

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

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

new_primPlusNat(Succ(xv2600), Succ(xv4000000)) → new_primPlusNat(xv2600, xv4000000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primMulNat(Succ(xv30000), Succ(xv400000)) → new_primMulNat(xv30000, Succ(xv400000))

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

new_primMulNat(Succ(xv30000), Succ(xv400000)) → new_primMulNat(xv30000, Succ(xv400000))
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

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

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

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

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

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

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

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

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

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

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