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

YES 1.449 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule Main

(((==) :: Eq 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

(((==) :: 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

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

module Main where

import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="(==)\n  Eq a",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
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600 -> 5[label="",style="solid", color="burlywood", weight=3];
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601 -> 6[label="",style="solid", color="burlywood", weight=3];
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602 -> 7[label="",style="solid", color="burlywood", weight=3];
603[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 603[label="",style="solid", color="burlywood", weight=9];
603 -> 8[label="",style="solid", color="burlywood", weight=3];
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604 -> 9[label="",style="solid", color="burlywood", weight=3];
605[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 605[label="",style="solid", color="burlywood", weight=9];
605 -> 10[label="",style="solid", color="burlywood", weight=3];
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8[label="(==) xv30 : xv31 []\n  Eq a",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3];
9[label="(==) [] xv40 : xv41\n  Eq a",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3];
10[label="(==) [] []\n  Eq a",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3];
11 -> 19[label="",style="dashed", color="red", weight=0];
11[label="xv30 == xv40 && xv31 == xv41\n  Eq a",fontsize=16,color="magenta"];11 -> 20[label="",style="dashed", color="magenta", weight=3];
11 -> 21[label="",style="dashed", color="magenta", weight=3];
12[label="False",fontsize=16,color="green",shape="box"];13[label="False",fontsize=16,color="green",shape="box"];14[label="True",fontsize=16,color="green",shape="box"];20 -> 4[label="",style="dashed", color="red", weight=0];
20[label="xv31 == xv41\n  Eq a",fontsize=16,color="magenta"];20 -> 24[label="",style="dashed", color="magenta", weight=3];
20 -> 25[label="",style="dashed", color="magenta", weight=3];
21[label="xv30 == xv40\n  Eq a",fontsize=16,color="blue",shape="box"];608[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 608[label="",style="solid", color="blue", weight=9];
608 -> 26[label="",style="solid", color="blue", weight=3];
609[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 609[label="",style="solid", color="blue", weight=9];
609 -> 27[label="",style="solid", color="blue", weight=3];
610[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 610[label="",style="solid", color="blue", weight=9];
610 -> 28[label="",style="solid", color="blue", weight=3];
611[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 611[label="",style="solid", color="blue", weight=9];
611 -> 29[label="",style="solid", color="blue", weight=3];
612[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 612[label="",style="solid", color="blue", weight=9];
612 -> 30[label="",style="solid", color="blue", weight=3];
613[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 613[label="",style="solid", color="blue", weight=9];
613 -> 31[label="",style="solid", color="blue", weight=3];
614[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 614[label="",style="solid", color="blue", weight=9];
614 -> 32[label="",style="solid", color="blue", weight=3];
615[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 615[label="",style="solid", color="blue", weight=9];
615 -> 33[label="",style="solid", color="blue", weight=3];
616[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 616[label="",style="solid", color="blue", weight=9];
616 -> 34[label="",style="solid", color="blue", weight=3];
617[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 617[label="",style="solid", color="blue", weight=9];
617 -> 35[label="",style="solid", color="blue", weight=3];
618[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 618[label="",style="solid", color="blue", weight=9];
618 -> 36[label="",style="solid", color="blue", weight=3];
619[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 619[label="",style="solid", color="blue", weight=9];
619 -> 37[label="",style="solid", color="blue", weight=3];
620[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 620[label="",style="solid", color="blue", weight=9];
620 -> 38[label="",style="solid", color="blue", weight=3];
621[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 621[label="",style="solid", color="blue", weight=9];
621 -> 39[label="",style="solid", color="blue", weight=3];
19[label="xv9 && xv10",fontsize=16,color="burlywood",shape="triangle"];622[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];19 -> 622[label="",style="solid", color="burlywood", weight=9];
622 -> 40[label="",style="solid", color="burlywood", weight=3];
623[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];19 -> 623[label="",style="solid", color="burlywood", weight=9];
623 -> 41[label="",style="solid", color="burlywood", weight=3];
24[label="xv41\n  Eq a",fontsize=16,color="green",shape="box"];25[label="xv31\n  Eq a",fontsize=16,color="green",shape="box"];26[label="xv30 == xv40\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];624[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];26 -> 624[label="",style="solid", color="burlywood", weight=9];
624 -> 42[label="",style="solid", color="burlywood", weight=3];
625[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];26 -> 625[label="",style="solid", color="burlywood", weight=9];
625 -> 43[label="",style="solid", color="burlywood", weight=3];
27[label="xv30 == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];626[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];27 -> 626[label="",style="solid", color="burlywood", weight=9];
626 -> 44[label="",style="solid", color="burlywood", weight=3];
627[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];27 -> 627[label="",style="solid", color="burlywood", weight=9];
627 -> 45[label="",style="solid", color="burlywood", weight=3];
28 -> 4[label="",style="dashed", color="red", weight=0];
28[label="xv30 == xv40\n  Eq a",fontsize=16,color="magenta"];28 -> 46[label="",style="dashed", color="magenta", weight=3];
28 -> 47[label="",style="dashed", color="magenta", weight=3];
29[label="xv30 == xv40\n  Integral a",fontsize=16,color="burlywood",shape="triangle"];629[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];29 -> 629[label="",style="solid", color="burlywood", weight=9];
629 -> 48[label="",style="solid", color="burlywood", weight=3];
30[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];630[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];30 -> 630[label="",style="solid", color="burlywood", weight=9];
630 -> 49[label="",style="solid", color="burlywood", weight=3];
31[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];31 -> 50[label="",style="solid", color="black", weight=3];
32[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];631[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];32 -> 631[label="",style="solid", color="burlywood", weight=9];
631 -> 51[label="",style="solid", color="burlywood", weight=3];
632[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];32 -> 632[label="",style="solid", color="burlywood", weight=9];
632 -> 52[label="",style="solid", color="burlywood", weight=3];
633[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];32 -> 633[label="",style="solid", color="burlywood", weight=9];
633 -> 53[label="",style="solid", color="burlywood", weight=3];
33[label="xv30 == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];634[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];33 -> 634[label="",style="solid", color="burlywood", weight=9];
634 -> 54[label="",style="solid", color="burlywood", weight=3];
34[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];635[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];34 -> 635[label="",style="solid", color="burlywood", weight=9];
635 -> 55[label="",style="solid", color="burlywood", weight=3];
35[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];35 -> 56[label="",style="solid", color="black", weight=3];
36[label="xv30 == xv40\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="triangle"];636[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];36 -> 636[label="",style="solid", color="burlywood", weight=9];
636 -> 57[label="",style="solid", color="burlywood", weight=3];
37[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];637[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];37 -> 637[label="",style="solid", color="burlywood", weight=9];
637 -> 58[label="",style="solid", color="burlywood", weight=3];
638[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];37 -> 638[label="",style="solid", color="burlywood", weight=9];
638 -> 59[label="",style="solid", color="burlywood", weight=3];
38[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];38 -> 60[label="",style="solid", color="black", weight=3];
39[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];39 -> 61[label="",style="solid", color="black", weight=3];
40[label="False && xv10",fontsize=16,color="black",shape="box"];40 -> 62[label="",style="solid", color="black", weight=3];
41[label="True && xv10",fontsize=16,color="black",shape="box"];41 -> 63[label="",style="solid", color="black", weight=3];
42[label="Nothing == xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];639[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];42 -> 639[label="",style="solid", color="burlywood", weight=9];
639 -> 64[label="",style="solid", color="burlywood", weight=3];
640[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];42 -> 640[label="",style="solid", color="burlywood", weight=9];
640 -> 65[label="",style="solid", color="burlywood", weight=3];
43[label="Just xv300 == xv40\n  Eq a",fontsize=16,color="burlywood",shape="box"];641[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];43 -> 641[label="",style="solid", color="burlywood", weight=9];
641 -> 66[label="",style="solid", color="burlywood", weight=3];
642[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];43 -> 642[label="",style="solid", color="burlywood", weight=9];
642 -> 67[label="",style="solid", color="burlywood", weight=3];
44[label="Left xv300 == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];643[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];44 -> 643[label="",style="solid", color="burlywood", weight=9];
643 -> 68[label="",style="solid", color="burlywood", weight=3];
644[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];44 -> 644[label="",style="solid", color="burlywood", weight=9];
644 -> 69[label="",style="solid", color="burlywood", weight=3];
45[label="Right xv300 == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];645[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 645[label="",style="solid", color="burlywood", weight=9];
645 -> 70[label="",style="solid", color="burlywood", weight=3];
646[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 646[label="",style="solid", color="burlywood", weight=9];
646 -> 71[label="",style="solid", color="burlywood", weight=3];
46[label="xv40\n  Eq a",fontsize=16,color="green",shape="box"];47[label="xv30\n  Eq a",fontsize=16,color="green",shape="box"];48[label="xv300 :% xv301 == xv40\n  Integral a",fontsize=16,color="burlywood",shape="box"];647[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];48 -> 647[label="",style="solid", color="burlywood", weight=9];
647 -> 72[label="",style="solid", color="burlywood", weight=3];
49[label="() == xv40",fontsize=16,color="burlywood",shape="box"];648[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];49 -> 648[label="",style="solid", color="burlywood", weight=9];
648 -> 73[label="",style="solid", color="burlywood", weight=3];
50[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];649[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];50 -> 649[label="",style="solid", color="burlywood", weight=9];
649 -> 74[label="",style="solid", color="burlywood", weight=3];
51[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];650[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];51 -> 650[label="",style="solid", color="burlywood", weight=9];
650 -> 75[label="",style="solid", color="burlywood", weight=3];
651[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];51 -> 651[label="",style="solid", color="burlywood", weight=9];
651 -> 76[label="",style="solid", color="burlywood", weight=3];
652[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];51 -> 652[label="",style="solid", color="burlywood", weight=9];
652 -> 77[label="",style="solid", color="burlywood", weight=3];
52[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];653[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];52 -> 653[label="",style="solid", color="burlywood", weight=9];
653 -> 78[label="",style="solid", color="burlywood", weight=3];
654[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];52 -> 654[label="",style="solid", color="burlywood", weight=9];
654 -> 79[label="",style="solid", color="burlywood", weight=3];
655[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];52 -> 655[label="",style="solid", color="burlywood", weight=9];
655 -> 80[label="",style="solid", color="burlywood", weight=3];
53[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];656[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];53 -> 656[label="",style="solid", color="burlywood", weight=9];
656 -> 81[label="",style="solid", color="burlywood", weight=3];
657[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];53 -> 657[label="",style="solid", color="burlywood", weight=9];
657 -> 82[label="",style="solid", color="burlywood", weight=3];
658[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];53 -> 658[label="",style="solid", color="burlywood", weight=9];
658 -> 83[label="",style="solid", color="burlywood", weight=3];
54[label="(xv300,xv301) == xv40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];659[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];54 -> 659[label="",style="solid", color="burlywood", weight=9];
659 -> 84[label="",style="solid", color="burlywood", weight=3];
55[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];660[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];55 -> 660[label="",style="solid", color="burlywood", weight=9];
660 -> 85[label="",style="solid", color="burlywood", weight=3];
56[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];661[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];56 -> 661[label="",style="solid", color="burlywood", weight=9];
661 -> 86[label="",style="solid", color="burlywood", weight=3];
662[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];56 -> 662[label="",style="solid", color="burlywood", weight=9];
662 -> 87[label="",style="solid", color="burlywood", weight=3];
57[label="(xv300,xv301,xv302) == xv40\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];663[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];57 -> 663[label="",style="solid", color="burlywood", weight=9];
663 -> 88[label="",style="solid", color="burlywood", weight=3];
58[label="False == xv40",fontsize=16,color="burlywood",shape="box"];664[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];58 -> 664[label="",style="solid", color="burlywood", weight=9];
664 -> 89[label="",style="solid", color="burlywood", weight=3];
665[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];58 -> 665[label="",style="solid", color="burlywood", weight=9];
665 -> 90[label="",style="solid", color="burlywood", weight=3];
59[label="True == xv40",fontsize=16,color="burlywood",shape="box"];666[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];59 -> 666[label="",style="solid", color="burlywood", weight=9];
666 -> 91[label="",style="solid", color="burlywood", weight=3];
667[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];59 -> 667[label="",style="solid", color="burlywood", weight=9];
667 -> 92[label="",style="solid", color="burlywood", weight=3];
60[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];668[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];60 -> 668[label="",style="solid", color="burlywood", weight=9];
668 -> 93[label="",style="solid", color="burlywood", weight=3];
61[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];669[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];61 -> 669[label="",style="solid", color="burlywood", weight=9];
669 -> 94[label="",style="solid", color="burlywood", weight=3];
62[label="False",fontsize=16,color="green",shape="box"];63[label="xv10",fontsize=16,color="green",shape="box"];64[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];64 -> 95[label="",style="solid", color="black", weight=3];
65[label="Nothing == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];65 -> 96[label="",style="solid", color="black", weight=3];
66[label="Just xv300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];66 -> 97[label="",style="solid", color="black", weight=3];
67[label="Just xv300 == Just xv400\n  Eq a",fontsize=16,color="black",shape="box"];67 -> 98[label="",style="solid", color="black", weight=3];
68[label="Left xv300 == Left xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];68 -> 99[label="",style="solid", color="black", weight=3];
69[label="Left xv300 == Right xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];69 -> 100[label="",style="solid", color="black", weight=3];
70[label="Right xv300 == Left xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];70 -> 101[label="",style="solid", color="black", weight=3];
71[label="Right xv300 == Right xv400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];71 -> 102[label="",style="solid", color="black", weight=3];
72[label="xv300 :% xv301 == xv400 :% xv401\n  Integral a",fontsize=16,color="black",shape="box"];72 -> 103[label="",style="solid", color="black", weight=3];
73[label="() == ()",fontsize=16,color="black",shape="box"];73 -> 104[label="",style="solid", color="black", weight=3];
74[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];670[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];74 -> 670[label="",style="solid", color="burlywood", weight=9];
670 -> 105[label="",style="solid", color="burlywood", weight=3];
75[label="LT == LT",fontsize=16,color="black",shape="box"];75 -> 106[label="",style="solid", color="black", weight=3];
76[label="LT == EQ",fontsize=16,color="black",shape="box"];76 -> 107[label="",style="solid", color="black", weight=3];
77[label="LT == GT",fontsize=16,color="black",shape="box"];77 -> 108[label="",style="solid", color="black", weight=3];
78[label="EQ == LT",fontsize=16,color="black",shape="box"];78 -> 109[label="",style="solid", color="black", weight=3];
79[label="EQ == EQ",fontsize=16,color="black",shape="box"];79 -> 110[label="",style="solid", color="black", weight=3];
80[label="EQ == GT",fontsize=16,color="black",shape="box"];80 -> 111[label="",style="solid", color="black", weight=3];
81[label="GT == LT",fontsize=16,color="black",shape="box"];81 -> 112[label="",style="solid", color="black", weight=3];
82[label="GT == EQ",fontsize=16,color="black",shape="box"];82 -> 113[label="",style="solid", color="black", weight=3];
83[label="GT == GT",fontsize=16,color="black",shape="box"];83 -> 114[label="",style="solid", color="black", weight=3];
84[label="(xv300,xv301) == (xv400,xv401)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];84 -> 115[label="",style="solid", color="black", weight=3];
85[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];85 -> 116[label="",style="solid", color="black", weight=3];
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671 -> 117[label="",style="solid", color="burlywood", weight=3];
672[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];86 -> 672[label="",style="solid", color="burlywood", weight=9];
672 -> 118[label="",style="solid", color="burlywood", weight=3];
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673 -> 119[label="",style="solid", color="burlywood", weight=3];
674[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];87 -> 674[label="",style="solid", color="burlywood", weight=9];
674 -> 120[label="",style="solid", color="burlywood", weight=3];
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89[label="False == False",fontsize=16,color="black",shape="box"];89 -> 122[label="",style="solid", color="black", weight=3];
90[label="False == True",fontsize=16,color="black",shape="box"];90 -> 123[label="",style="solid", color="black", weight=3];
91[label="True == False",fontsize=16,color="black",shape="box"];91 -> 124[label="",style="solid", color="black", weight=3];
92[label="True == True",fontsize=16,color="black",shape="box"];92 -> 125[label="",style="solid", color="black", weight=3];
93[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];675[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];93 -> 675[label="",style="solid", color="burlywood", weight=9];
675 -> 126[label="",style="solid", color="burlywood", weight=3];
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676 -> 127[label="",style="solid", color="burlywood", weight=3];
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677 -> 128[label="",style="solid", color="blue", weight=3];
678[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 678[label="",style="solid", color="blue", weight=9];
678 -> 129[label="",style="solid", color="blue", weight=3];
679[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 679[label="",style="solid", color="blue", weight=9];
679 -> 130[label="",style="solid", color="blue", weight=3];
680[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 680[label="",style="solid", color="blue", weight=9];
680 -> 131[label="",style="solid", color="blue", weight=3];
681[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 681[label="",style="solid", color="blue", weight=9];
681 -> 132[label="",style="solid", color="blue", weight=3];
682[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 682[label="",style="solid", color="blue", weight=9];
682 -> 133[label="",style="solid", color="blue", weight=3];
683[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 683[label="",style="solid", color="blue", weight=9];
683 -> 134[label="",style="solid", color="blue", weight=3];
684[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 684[label="",style="solid", color="blue", weight=9];
684 -> 135[label="",style="solid", color="blue", weight=3];
685[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 685[label="",style="solid", color="blue", weight=9];
685 -> 136[label="",style="solid", color="blue", weight=3];
686[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 686[label="",style="solid", color="blue", weight=9];
686 -> 137[label="",style="solid", color="blue", weight=3];
687[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 687[label="",style="solid", color="blue", weight=9];
687 -> 138[label="",style="solid", color="blue", weight=3];
688[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 688[label="",style="solid", color="blue", weight=9];
688 -> 139[label="",style="solid", color="blue", weight=3];
689[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 689[label="",style="solid", color="blue", weight=9];
689 -> 140[label="",style="solid", color="blue", weight=3];
690[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 690[label="",style="solid", color="blue", weight=9];
690 -> 141[label="",style="solid", color="blue", weight=3];
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691 -> 142[label="",style="solid", color="blue", weight=3];
692[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 692[label="",style="solid", color="blue", weight=9];
692 -> 143[label="",style="solid", color="blue", weight=3];
693[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 693[label="",style="solid", color="blue", weight=9];
693 -> 144[label="",style="solid", color="blue", weight=3];
694[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 694[label="",style="solid", color="blue", weight=9];
694 -> 145[label="",style="solid", color="blue", weight=3];
695[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 695[label="",style="solid", color="blue", weight=9];
695 -> 146[label="",style="solid", color="blue", weight=3];
696[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 696[label="",style="solid", color="blue", weight=9];
696 -> 147[label="",style="solid", color="blue", weight=3];
697[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 697[label="",style="solid", color="blue", weight=9];
697 -> 148[label="",style="solid", color="blue", weight=3];
698[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 698[label="",style="solid", color="blue", weight=9];
698 -> 149[label="",style="solid", color="blue", weight=3];
699[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 699[label="",style="solid", color="blue", weight=9];
699 -> 150[label="",style="solid", color="blue", weight=3];
700[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 700[label="",style="solid", color="blue", weight=9];
700 -> 151[label="",style="solid", color="blue", weight=3];
701[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 701[label="",style="solid", color="blue", weight=9];
701 -> 152[label="",style="solid", color="blue", weight=3];
702[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 702[label="",style="solid", color="blue", weight=9];
702 -> 153[label="",style="solid", color="blue", weight=3];
703[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 703[label="",style="solid", color="blue", weight=9];
703 -> 154[label="",style="solid", color="blue", weight=3];
704[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 704[label="",style="solid", color="blue", weight=9];
704 -> 155[label="",style="solid", color="blue", weight=3];
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705 -> 156[label="",style="solid", color="blue", weight=3];
706[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 706[label="",style="solid", color="blue", weight=9];
706 -> 157[label="",style="solid", color="blue", weight=3];
707[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 707[label="",style="solid", color="blue", weight=9];
707 -> 158[label="",style="solid", color="blue", weight=3];
708[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 708[label="",style="solid", color="blue", weight=9];
708 -> 159[label="",style="solid", color="blue", weight=3];
709[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 709[label="",style="solid", color="blue", weight=9];
709 -> 160[label="",style="solid", color="blue", weight=3];
710[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 710[label="",style="solid", color="blue", weight=9];
710 -> 161[label="",style="solid", color="blue", weight=3];
711[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 711[label="",style="solid", color="blue", weight=9];
711 -> 162[label="",style="solid", color="blue", weight=3];
712[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 712[label="",style="solid", color="blue", weight=9];
712 -> 163[label="",style="solid", color="blue", weight=3];
713[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 713[label="",style="solid", color="blue", weight=9];
713 -> 164[label="",style="solid", color="blue", weight=3];
714[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 714[label="",style="solid", color="blue", weight=9];
714 -> 165[label="",style="solid", color="blue", weight=3];
715[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 715[label="",style="solid", color="blue", weight=9];
715 -> 166[label="",style="solid", color="blue", weight=3];
716[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 716[label="",style="solid", color="blue", weight=9];
716 -> 167[label="",style="solid", color="blue", weight=3];
717[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 717[label="",style="solid", color="blue", weight=9];
717 -> 168[label="",style="solid", color="blue", weight=3];
718[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];102 -> 718[label="",style="solid", color="blue", weight=9];
718 -> 169[label="",style="solid", color="blue", weight=3];
103 -> 19[label="",style="dashed", color="red", weight=0];
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103 -> 171[label="",style="dashed", color="magenta", weight=3];
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106[label="True",fontsize=16,color="green",shape="box"];107[label="False",fontsize=16,color="green",shape="box"];108[label="False",fontsize=16,color="green",shape="box"];109[label="False",fontsize=16,color="green",shape="box"];110[label="True",fontsize=16,color="green",shape="box"];111[label="False",fontsize=16,color="green",shape="box"];112[label="False",fontsize=16,color="green",shape="box"];113[label="False",fontsize=16,color="green",shape="box"];114[label="True",fontsize=16,color="green",shape="box"];115 -> 19[label="",style="dashed", color="red", weight=0];
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115 -> 174[label="",style="dashed", color="magenta", weight=3];
116 -> 56[label="",style="dashed", color="red", weight=0];
116[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];116 -> 175[label="",style="dashed", color="magenta", weight=3];
116 -> 176[label="",style="dashed", color="magenta", weight=3];
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722 -> 177[label="",style="solid", color="burlywood", weight=3];
723[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];117 -> 723[label="",style="solid", color="burlywood", weight=9];
723 -> 178[label="",style="solid", color="burlywood", weight=3];
118[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];724[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];118 -> 724[label="",style="solid", color="burlywood", weight=9];
724 -> 179[label="",style="solid", color="burlywood", weight=3];
725[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];118 -> 725[label="",style="solid", color="burlywood", weight=9];
725 -> 180[label="",style="solid", color="burlywood", weight=3];
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726 -> 181[label="",style="solid", color="burlywood", weight=3];
727[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];119 -> 727[label="",style="solid", color="burlywood", weight=9];
727 -> 182[label="",style="solid", color="burlywood", weight=3];
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728 -> 183[label="",style="solid", color="burlywood", weight=3];
729[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];120 -> 729[label="",style="solid", color="burlywood", weight=9];
729 -> 184[label="",style="solid", color="burlywood", weight=3];
121 -> 19[label="",style="dashed", color="red", weight=0];
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121 -> 186[label="",style="dashed", color="magenta", weight=3];
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127[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];127 -> 188[label="",style="solid", color="black", weight=3];
128 -> 26[label="",style="dashed", color="red", weight=0];
128[label="xv300 == xv400\n  Eq a",fontsize=16,color="magenta"];128 -> 189[label="",style="dashed", color="magenta", weight=3];
128 -> 190[label="",style="dashed", color="magenta", weight=3];
129 -> 27[label="",style="dashed", color="red", weight=0];
129[label="xv300 == xv400\n  Eq a  Eq b",fontsize=16,color="magenta"];129 -> 191[label="",style="dashed", color="magenta", weight=3];
129 -> 192[label="",style="dashed", color="magenta", weight=3];
130 -> 4[label="",style="dashed", color="red", weight=0];
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130 -> 194[label="",style="dashed", color="magenta", weight=3];
131 -> 29[label="",style="dashed", color="red", weight=0];
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131 -> 196[label="",style="dashed", color="magenta", weight=3];
132 -> 30[label="",style="dashed", color="red", weight=0];
132[label="xv300 == xv400",fontsize=16,color="magenta"];132 -> 197[label="",style="dashed", color="magenta", weight=3];
132 -> 198[label="",style="dashed", color="magenta", weight=3];
133 -> 31[label="",style="dashed", color="red", weight=0];
133[label="xv300 == xv400",fontsize=16,color="magenta"];133 -> 199[label="",style="dashed", color="magenta", weight=3];
133 -> 200[label="",style="dashed", color="magenta", weight=3];
134 -> 32[label="",style="dashed", color="red", weight=0];
134[label="xv300 == xv400",fontsize=16,color="magenta"];134 -> 201[label="",style="dashed", color="magenta", weight=3];
134 -> 202[label="",style="dashed", color="magenta", weight=3];
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135 -> 204[label="",style="dashed", color="magenta", weight=3];
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136[label="xv300 == xv400",fontsize=16,color="magenta"];136 -> 205[label="",style="dashed", color="magenta", weight=3];
136 -> 206[label="",style="dashed", color="magenta", weight=3];
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137 -> 208[label="",style="dashed", color="magenta", weight=3];
138 -> 36[label="",style="dashed", color="red", weight=0];
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138 -> 210[label="",style="dashed", color="magenta", weight=3];
139 -> 37[label="",style="dashed", color="red", weight=0];
139[label="xv300 == xv400",fontsize=16,color="magenta"];139 -> 211[label="",style="dashed", color="magenta", weight=3];
139 -> 212[label="",style="dashed", color="magenta", weight=3];
140 -> 38[label="",style="dashed", color="red", weight=0];
140[label="xv300 == xv400",fontsize=16,color="magenta"];140 -> 213[label="",style="dashed", color="magenta", weight=3];
140 -> 214[label="",style="dashed", color="magenta", weight=3];
141 -> 39[label="",style="dashed", color="red", weight=0];
141[label="xv300 == xv400",fontsize=16,color="magenta"];141 -> 215[label="",style="dashed", color="magenta", weight=3];
141 -> 216[label="",style="dashed", color="magenta", weight=3];
142 -> 26[label="",style="dashed", color="red", weight=0];
142[label="xv300 == xv400\n  Eq a",fontsize=16,color="magenta"];142 -> 217[label="",style="dashed", color="magenta", weight=3];
142 -> 218[label="",style="dashed", color="magenta", weight=3];
143 -> 27[label="",style="dashed", color="red", weight=0];
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143 -> 220[label="",style="dashed", color="magenta", weight=3];
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144 -> 222[label="",style="dashed", color="magenta", weight=3];
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787[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];173 -> 787[label="",style="solid", color="blue", weight=9];
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788[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];173 -> 788[label="",style="solid", color="blue", weight=9];
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790[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];173 -> 790[label="",style="solid", color="blue", weight=9];
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333 -> 36[label="",style="dashed", color="red", weight=0];
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352[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];352 -> 487[label="",style="solid", color="black", weight=3];
353[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];354[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];355[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];356[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];357[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];358[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];359[label="xv401\n  Integral a",fontsize=16,color="green",shape="box"];360[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];361[label="xv401",fontsize=16,color="green",shape="box"];362[label="xv301",fontsize=16,color="green",shape="box"];363[label="xv401",fontsize=16,color="green",shape="box"];364[label="xv301",fontsize=16,color="green",shape="box"];365[label="xv401",fontsize=16,color="green",shape="box"];366[label="xv301",fontsize=16,color="green",shape="box"];367[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];368[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];369[label="xv401",fontsize=16,color="green",shape="box"];370[label="xv301",fontsize=16,color="green",shape="box"];371[label="xv401",fontsize=16,color="green",shape="box"];372[label="xv301",fontsize=16,color="green",shape="box"];373[label="xv401\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];374[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];375[label="xv401",fontsize=16,color="green",shape="box"];376[label="xv301",fontsize=16,color="green",shape="box"];377[label="xv401",fontsize=16,color="green",shape="box"];378[label="xv301",fontsize=16,color="green",shape="box"];379[label="xv401",fontsize=16,color="green",shape="box"];380[label="xv301",fontsize=16,color="green",shape="box"];381[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];382[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];383[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];384[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];385[label="xv400\n  Eq a",fontsize=16,color="green",shape="box"];386[label="xv300\n  Eq a",fontsize=16,color="green",shape="box"];387[label="xv400\n  Integral a",fontsize=16,color="green",shape="box"];388[label="xv300\n  Integral a",fontsize=16,color="green",shape="box"];389[label="xv400",fontsize=16,color="green",shape="box"];390[label="xv300",fontsize=16,color="green",shape="box"];391[label="xv400",fontsize=16,color="green",shape="box"];392[label="xv300",fontsize=16,color="green",shape="box"];393[label="xv400",fontsize=16,color="green",shape="box"];394[label="xv300",fontsize=16,color="green",shape="box"];395[label="xv400\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];396[label="xv300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];397[label="xv400",fontsize=16,color="green",shape="box"];398[label="xv300",fontsize=16,color="green",shape="box"];399[label="xv400",fontsize=16,color="green",shape="box"];400[label="xv300",fontsize=16,color="green",shape="box"];401[label="xv400\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];402[label="xv300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];403[label="xv400",fontsize=16,color="green",shape="box"];404[label="xv300",fontsize=16,color="green",shape="box"];405[label="xv400",fontsize=16,color="green",shape="box"];406[label="xv300",fontsize=16,color="green",shape="box"];407[label="xv400",fontsize=16,color="green",shape="box"];408[label="xv300",fontsize=16,color="green",shape="box"];409 -> 172[label="",style="dashed", color="red", weight=0];
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421[label="xv302 == xv402\n  Eq a",fontsize=16,color="magenta"];421 -> 492[label="",style="dashed", color="magenta", weight=3];
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484[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];484 -> 550[label="",style="dashed", color="magenta", weight=3];
484 -> 551[label="",style="dashed", color="magenta", weight=3];
485[label="False",fontsize=16,color="green",shape="box"];486[label="False",fontsize=16,color="green",shape="box"];487[label="True",fontsize=16,color="green",shape="box"];488[label="xv3000",fontsize=16,color="green",shape="box"];489[label="xv4000",fontsize=16,color="green",shape="box"];490[label="xv3000",fontsize=16,color="green",shape="box"];491[label="xv4000",fontsize=16,color="green",shape="box"];492[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];493[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];494[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];495[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];496[label="xv402\n  Eq a",fontsize=16,color="green",shape="box"];497[label="xv302\n  Eq a",fontsize=16,color="green",shape="box"];498[label="xv402\n  Integral a",fontsize=16,color="green",shape="box"];499[label="xv302\n  Integral a",fontsize=16,color="green",shape="box"];500[label="xv402",fontsize=16,color="green",shape="box"];501[label="xv302",fontsize=16,color="green",shape="box"];502[label="xv402",fontsize=16,color="green",shape="box"];503[label="xv302",fontsize=16,color="green",shape="box"];504[label="xv402",fontsize=16,color="green",shape="box"];505[label="xv302",fontsize=16,color="green",shape="box"];506[label="xv402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];507[label="xv302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];508[label="xv402",fontsize=16,color="green",shape="box"];509[label="xv302",fontsize=16,color="green",shape="box"];510[label="xv402",fontsize=16,color="green",shape="box"];511[label="xv302",fontsize=16,color="green",shape="box"];512[label="xv402\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];513[label="xv302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];514[label="xv402",fontsize=16,color="green",shape="box"];515[label="xv302",fontsize=16,color="green",shape="box"];516[label="xv402",fontsize=16,color="green",shape="box"];517[label="xv302",fontsize=16,color="green",shape="box"];518[label="xv402",fontsize=16,color="green",shape="box"];519[label="xv302",fontsize=16,color="green",shape="box"];520[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];521[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];522[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];523[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];524[label="xv401\n  Eq a",fontsize=16,color="green",shape="box"];525[label="xv301\n  Eq a",fontsize=16,color="green",shape="box"];526[label="xv401\n  Integral a",fontsize=16,color="green",shape="box"];527[label="xv301\n  Integral a",fontsize=16,color="green",shape="box"];528[label="xv401",fontsize=16,color="green",shape="box"];529[label="xv301",fontsize=16,color="green",shape="box"];530[label="xv401",fontsize=16,color="green",shape="box"];531[label="xv301",fontsize=16,color="green",shape="box"];532[label="xv401",fontsize=16,color="green",shape="box"];533[label="xv301",fontsize=16,color="green",shape="box"];534[label="xv401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];535[label="xv301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];536[label="xv401",fontsize=16,color="green",shape="box"];537[label="xv301",fontsize=16,color="green",shape="box"];538[label="xv401",fontsize=16,color="green",shape="box"];539[label="xv301",fontsize=16,color="green",shape="box"];540[label="xv401\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];541[label="xv301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];542[label="xv401",fontsize=16,color="green",shape="box"];543[label="xv301",fontsize=16,color="green",shape="box"];544[label="xv401",fontsize=16,color="green",shape="box"];545[label="xv301",fontsize=16,color="green",shape="box"];546[label="xv401",fontsize=16,color="green",shape="box"];547[label="xv301",fontsize=16,color="green",shape="box"];548[label="primMulInt (Pos xv3010) xv401",fontsize=16,color="burlywood",shape="box"];950[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];548 -> 950[label="",style="solid", color="burlywood", weight=9];
950 -> 552[label="",style="solid", color="burlywood", weight=3];
951[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];548 -> 951[label="",style="solid", color="burlywood", weight=9];
951 -> 553[label="",style="solid", color="burlywood", weight=3];
549[label="primMulInt (Neg xv3010) xv401",fontsize=16,color="burlywood",shape="box"];952[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];549 -> 952[label="",style="solid", color="burlywood", weight=9];
952 -> 554[label="",style="solid", color="burlywood", weight=3];
953[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];549 -> 953[label="",style="solid", color="burlywood", weight=9];
953 -> 555[label="",style="solid", color="burlywood", weight=3];
550[label="xv3000",fontsize=16,color="green",shape="box"];551[label="xv4000",fontsize=16,color="green",shape="box"];552[label="primMulInt (Pos xv3010) (Pos xv4010)",fontsize=16,color="black",shape="box"];552 -> 556[label="",style="solid", color="black", weight=3];
553[label="primMulInt (Pos xv3010) (Neg xv4010)",fontsize=16,color="black",shape="box"];553 -> 557[label="",style="solid", color="black", weight=3];
554[label="primMulInt (Neg xv3010) (Pos xv4010)",fontsize=16,color="black",shape="box"];554 -> 558[label="",style="solid", color="black", weight=3];
555[label="primMulInt (Neg xv3010) (Neg xv4010)",fontsize=16,color="black",shape="box"];555 -> 559[label="",style="solid", color="black", weight=3];
556[label="Pos (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];556 -> 560[label="",style="dashed", color="green", weight=3];
557[label="Neg (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];557 -> 561[label="",style="dashed", color="green", weight=3];
558[label="Neg (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];558 -> 562[label="",style="dashed", color="green", weight=3];
559[label="Pos (primMulNat xv3010 xv4010)",fontsize=16,color="green",shape="box"];559 -> 563[label="",style="dashed", color="green", weight=3];
560[label="primMulNat xv3010 xv4010",fontsize=16,color="burlywood",shape="triangle"];954[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];560 -> 954[label="",style="solid", color="burlywood", weight=9];
954 -> 564[label="",style="solid", color="burlywood", weight=3];
955[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];560 -> 955[label="",style="solid", color="burlywood", weight=9];
955 -> 565[label="",style="solid", color="burlywood", weight=3];
561 -> 560[label="",style="dashed", color="red", weight=0];
561[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];561 -> 566[label="",style="dashed", color="magenta", weight=3];
562 -> 560[label="",style="dashed", color="red", weight=0];
562[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];562 -> 567[label="",style="dashed", color="magenta", weight=3];
563 -> 560[label="",style="dashed", color="red", weight=0];
563[label="primMulNat xv3010 xv4010",fontsize=16,color="magenta"];563 -> 568[label="",style="dashed", color="magenta", weight=3];
563 -> 569[label="",style="dashed", color="magenta", weight=3];
564[label="primMulNat (Succ xv30100) xv4010",fontsize=16,color="burlywood",shape="box"];959[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];564 -> 959[label="",style="solid", color="burlywood", weight=9];
959 -> 570[label="",style="solid", color="burlywood", weight=3];
960[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];564 -> 960[label="",style="solid", color="burlywood", weight=9];
960 -> 571[label="",style="solid", color="burlywood", weight=3];
565[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];961[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];565 -> 961[label="",style="solid", color="burlywood", weight=9];
961 -> 572[label="",style="solid", color="burlywood", weight=3];
962[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];565 -> 962[label="",style="solid", color="burlywood", weight=9];
962 -> 573[label="",style="solid", color="burlywood", weight=3];
566[label="xv4010",fontsize=16,color="green",shape="box"];567[label="xv3010",fontsize=16,color="green",shape="box"];568[label="xv4010",fontsize=16,color="green",shape="box"];569[label="xv3010",fontsize=16,color="green",shape="box"];570[label="primMulNat (Succ xv30100) (Succ xv40100)",fontsize=16,color="black",shape="box"];570 -> 574[label="",style="solid", color="black", weight=3];
571[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];571 -> 575[label="",style="solid", color="black", weight=3];
572[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];572 -> 576[label="",style="solid", color="black", weight=3];
573[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];573 -> 577[label="",style="solid", color="black", weight=3];
574 -> 578[label="",style="dashed", color="red", weight=0];
574[label="primPlusNat (primMulNat xv30100 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];574 -> 579[label="",style="dashed", color="magenta", weight=3];
575[label="Zero",fontsize=16,color="green",shape="box"];576[label="Zero",fontsize=16,color="green",shape="box"];577[label="Zero",fontsize=16,color="green",shape="box"];579 -> 560[label="",style="dashed", color="red", weight=0];
579[label="primMulNat xv30100 (Succ xv40100)",fontsize=16,color="magenta"];579 -> 580[label="",style="dashed", color="magenta", weight=3];
579 -> 581[label="",style="dashed", color="magenta", weight=3];
578[label="primPlusNat xv11 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];965[label="xv11/Succ xv110",fontsize=10,color="white",style="solid",shape="box"];578 -> 965[label="",style="solid", color="burlywood", weight=9];
965 -> 582[label="",style="solid", color="burlywood", weight=3];
966[label="xv11/Zero",fontsize=10,color="white",style="solid",shape="box"];578 -> 966[label="",style="solid", color="burlywood", weight=9];
966 -> 583[label="",style="solid", color="burlywood", weight=3];
580[label="Succ xv40100",fontsize=16,color="green",shape="box"];581[label="xv30100",fontsize=16,color="green",shape="box"];582[label="primPlusNat (Succ xv110) (Succ xv40100)",fontsize=16,color="black",shape="box"];582 -> 584[label="",style="solid", color="black", weight=3];
583[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];583 -> 585[label="",style="solid", color="black", weight=3];
584[label="Succ (Succ (primPlusNat xv110 xv40100))",fontsize=16,color="green",shape="box"];584 -> 586[label="",style="dashed", color="green", weight=3];
585[label="Succ xv40100",fontsize=16,color="green",shape="box"];586[label="primPlusNat xv110 xv40100",fontsize=16,color="burlywood",shape="triangle"];967[label="xv110/Succ xv1100",fontsize=10,color="white",style="solid",shape="box"];586 -> 967[label="",style="solid", color="burlywood", weight=9];
967 -> 587[label="",style="solid", color="burlywood", weight=3];
968[label="xv110/Zero",fontsize=10,color="white",style="solid",shape="box"];586 -> 968[label="",style="solid", color="burlywood", weight=9];
968 -> 588[label="",style="solid", color="burlywood", weight=3];
587[label="primPlusNat (Succ xv1100) xv40100",fontsize=16,color="burlywood",shape="box"];969[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];587 -> 969[label="",style="solid", color="burlywood", weight=9];
969 -> 589[label="",style="solid", color="burlywood", weight=3];
970[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];587 -> 970[label="",style="solid", color="burlywood", weight=9];
970 -> 590[label="",style="solid", color="burlywood", weight=3];
588[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];971[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];588 -> 971[label="",style="solid", color="burlywood", weight=9];
971 -> 591[label="",style="solid", color="burlywood", weight=3];
972[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];588 -> 972[label="",style="solid", color="burlywood", weight=9];
972 -> 592[label="",style="solid", color="burlywood", weight=3];
589[label="primPlusNat (Succ xv1100) (Succ xv401000)",fontsize=16,color="black",shape="box"];589 -> 593[label="",style="solid", color="black", weight=3];
590[label="primPlusNat (Succ xv1100) Zero",fontsize=16,color="black",shape="box"];590 -> 594[label="",style="solid", color="black", weight=3];
591[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];591 -> 595[label="",style="solid", color="black", weight=3];
592[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];592 -> 596[label="",style="solid", color="black", weight=3];
593[label="Succ (Succ (primPlusNat xv1100 xv401000))",fontsize=16,color="green",shape="box"];593 -> 597[label="",style="dashed", color="green", weight=3];
594[label="Succ xv1100",fontsize=16,color="green",shape="box"];595[label="Succ xv401000",fontsize=16,color="green",shape="box"];596[label="Zero",fontsize=16,color="green",shape="box"];597 -> 586[label="",style="dashed", color="red", weight=0];
597[label="primPlusNat xv1100 xv401000",fontsize=16,color="magenta"];597 -> 598[label="",style="dashed", color="magenta", weight=3];
597 -> 599[label="",style="dashed", color="magenta", weight=3];
598[label="xv401000",fontsize=16,color="green",shape="box"];599[label="xv1100",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primPlusNat(Succ(xv1100), Succ(xv401000)) → new_primPlusNat(xv1100, xv401000)

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

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

new_primPlusNat(Succ(xv1100), Succ(xv401000)) → new_primPlusNat(xv1100, xv401000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

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

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

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

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

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

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

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

new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, bcg), bch)), hg), bbb)) → new_esEs2(xv300, xv400, bcg, bch)
new_esEs1(Right(xv300), Right(xv400), df, app(ty_Maybe, dg)) → new_esEs0(xv300, xv400, dg)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(app(ty_@2, bad), bae))) → new_esEs2(xv302, xv402, bad, bae)
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(ty_[], eb))) → new_esEs(xv300, xv400, eb)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(ty_Maybe, bba)), bbb)) → new_esEs0(xv301, xv401, bba)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(ty_Maybe, bba), bbb) → new_esEs0(xv301, xv401, bba)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_[], gh)), ge)) → new_esEs(xv300, xv400, gh)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(app(ty_@3, hc), hd), he)), ge)) → new_esEs3(xv300, xv400, hc, hd, he)
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(app(ty_@2, ec), ed))) → new_esEs2(xv300, xv400, ec, ed)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(ty_Maybe, hh)) → new_esEs0(xv302, xv402, hh)
new_esEs0(Just(xv300), Just(xv400), app(ty_Maybe, bb)) → new_esEs0(xv300, xv400, bb)
new_esEs0(Just(xv300), Just(xv400), app(ty_[], be)) → new_esEs(xv300, xv400, be)
new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, ce), cf), cd) → new_esEs1(xv300, xv400, ce, cf)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, bcc)), hg), bbb)) → new_esEs0(xv300, xv400, bcc)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(app(app(ty_@3, ga), gb), gc)) → new_esEs3(xv301, xv401, ga, gb, gc)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(ty_[], bbe), bbb) → new_esEs(xv301, xv401, bbe)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(ty_[], ff))) → new_esEs(xv301, xv401, ff)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, bcd), bce), hg, bbb) → new_esEs1(xv300, xv400, bcd, bce)
new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, da), db), cd) → new_esEs2(xv300, xv400, da, db)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, bda), bdb), bdc)), hg), bbb)) → new_esEs3(xv300, xv400, bda, bdb, bdc)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, gd), ge) → new_esEs0(xv300, xv400, gd)
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_[], cg)), cd)) → new_esEs(xv300, xv400, cg)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(app(ty_Either, bbc), bbd), bbb) → new_esEs1(xv301, xv401, bbc, bbd)
new_esEs0(Just(xv300), Just(xv400), app(app(app(ty_@3, bh), ca), cb)) → new_esEs3(xv300, xv400, bh, ca, cb)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, bcg), bch), hg, bbb) → new_esEs2(xv300, xv400, bcg, bch)
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, dc), dd), de)), cd)) → new_esEs3(xv300, xv400, dc, dd, de)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(app(ty_Either, fc), fd))) → new_esEs1(xv301, xv401, fc, fd)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(ty_Maybe, hh))) → new_esEs0(xv302, xv402, hh)
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, da), db)), cd)) → new_esEs2(xv300, xv400, da, db)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_Either, gf), gg)), ge)) → new_esEs1(xv300, xv400, gf, gg)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, bcc), hg, bbb) → new_esEs0(xv300, xv400, bcc)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(app(app(ty_@3, bbh), bca), bcb)), bbb)) → new_esEs3(xv301, xv401, bbh, bca, bcb)
new_esEs1(Right(xv300), Right(xv400), df, app(ty_[], eb)) → new_esEs(xv300, xv400, eb)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, gf), gg), ge) → new_esEs1(xv300, xv400, gf, gg)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(ty_[], bac))) → new_esEs(xv302, xv402, bac)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, hc), hd), he), ge) → new_esEs3(xv300, xv400, hc, hd, he)
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(ty_Maybe, dg))) → new_esEs0(xv300, xv400, dg)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(ty_[], bbe)), bbb)) → new_esEs(xv301, xv401, bbe)
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, ce), cf)), cd)) → new_esEs1(xv300, xv400, ce, cf)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(app(ty_@2, bbf), bbg)), bbb)) → new_esEs2(xv301, xv401, bbf, bbg)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(app(ty_@2, fg), fh))) → new_esEs2(xv301, xv401, fg, fh)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(app(app(ty_@3, baf), bag), bah)) → new_esEs3(xv302, xv402, baf, bag, bah)
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, cc)), cd)) → new_esEs0(xv300, xv400, cc)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], bcf)), hg), bbb)) → new_esEs(xv300, xv400, bcf)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(ty_[], bac)) → new_esEs(xv302, xv402, bac)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(app(ty_@2, fg), fh)) → new_esEs2(xv301, xv401, fg, fh)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, bcd), bce)), hg), bbb)) → new_esEs1(xv300, xv400, bcd, bce)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(ty_Maybe, fb)) → new_esEs0(xv301, xv401, fb)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], bcf), hg, bbb) → new_esEs(xv300, xv400, bcf)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, ha), hb), ge) → new_esEs2(xv300, xv400, ha, hb)
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_[], be))) → new_esEs(xv300, xv400, be)
new_esEs1(Right(xv300), Right(xv400), df, app(app(ty_Either, dh), ea)) → new_esEs1(xv300, xv400, dh, ea)
new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, cc), cd) → new_esEs0(xv300, xv400, cc)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(app(app(ty_@3, baf), bag), bah))) → new_esEs3(xv302, xv402, baf, bag, bah)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(app(ty_Either, fc), fd)) → new_esEs1(xv301, xv401, fc, fd)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(app(app(ty_@3, bbh), bca), bcb), bbb) → new_esEs3(xv301, xv401, bbh, bca, bcb)
new_esEs0(Just(xv300), Just(xv400), app(app(ty_@2, bf), bg)) → new_esEs2(xv300, xv400, bf, bg)
new_esEs(:(xv30, xv31), :(xv40, xv41), ba) → new_esEs(xv31, xv41, ba)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(ty_[], ff)) → new_esEs(xv301, xv401, ff)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(app(ty_@2, bad), bae)) → new_esEs2(xv302, xv402, bad, bae)
new_esEs0(Just(xv300), Just(xv400), app(app(ty_Either, bc), bd)) → new_esEs1(xv300, xv400, bc, bd)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(app(ty_Either, baa), bab))) → new_esEs1(xv302, xv402, baa, bab)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(app(ty_@2, bbf), bbg), bbb) → new_esEs2(xv301, xv401, bbf, bbg)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_Maybe, gd)), ge)) → new_esEs0(xv300, xv400, gd)
new_esEs1(Right(xv300), Right(xv400), df, app(app(app(ty_@3, ee), ef), eg)) → new_esEs3(xv300, xv400, ee, ef, eg)
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bf), bg))) → new_esEs2(xv300, xv400, bf, bg)
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, bb))) → new_esEs0(xv300, xv400, bb)
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bh), ca), cb))) → new_esEs3(xv300, xv400, bh, ca, cb)
new_esEs1(Right(xv300), Right(xv400), df, app(app(ty_@2, ec), ed)) → new_esEs2(xv300, xv400, ec, ed)
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(app(app(ty_@3, ee), ef), eg))) → new_esEs3(xv300, xv400, ee, ef, eg)
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, bc), bd))) → new_esEs1(xv300, xv400, bc, bd)
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], gh), ge) → new_esEs(xv300, xv400, gh)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_@2, ha), hb)), ge)) → new_esEs2(xv300, xv400, ha, hb)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(app(ty_Either, baa), bab)) → new_esEs1(xv302, xv402, baa, bab)
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(app(ty_Either, dh), ea))) → new_esEs1(xv300, xv400, dh, ea)
new_esEs1(Left(xv300), Left(xv400), app(ty_[], cg), cd) → new_esEs(xv300, xv400, cg)
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(app(ty_Either, bbc), bbd)), bbb)) → new_esEs1(xv301, xv401, bbc, bbd)
new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, dc), dd), de), cd) → new_esEs3(xv300, xv400, dc, dd, de)
new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_[], eh)) → new_esEs(xv30, xv40, eh)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(ty_Maybe, fb))) → new_esEs0(xv301, xv401, fb)
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, bda), bdb), bdc), hg, bbb) → new_esEs3(xv300, xv400, bda, bdb, bdc)
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(app(app(ty_@3, ga), gb), gc))) → new_esEs3(xv301, xv401, ga, gb, gc)

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

new_esEs0(Just(xv300), Just(xv400), app(ty_[], be)) → new_esEs(xv300, xv400, be)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Just(xv300), Just(xv400), app(app(ty_Either, bc), bd)) → new_esEs1(xv300, xv400, bc, bd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Just(xv300), Just(xv400), app(app(app(ty_@3, bh), ca), cb)) → new_esEs3(xv300, xv400, bh, ca, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(Just(xv300), Just(xv400), app(ty_Maybe, bb)) → new_esEs0(xv300, xv400, bb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Just(xv300), Just(xv400), app(app(ty_@2, bf), bg)) → new_esEs2(xv300, xv400, bf, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(ty_[], ff)) → new_esEs(xv301, xv401, ff)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], gh), ge) → new_esEs(xv300, xv400, gh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, gf), gg), ge) → new_esEs1(xv300, xv400, gf, gg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(app(ty_Either, fc), fd)) → new_esEs1(xv301, xv401, fc, fd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(app(app(ty_@3, ga), gb), gc)) → new_esEs3(xv301, xv401, ga, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, hc), hd), he), ge) → new_esEs3(xv300, xv400, hc, hd, he)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, gd), ge) → new_esEs0(xv300, xv400, gd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(ty_Maybe, fb)) → new_esEs0(xv301, xv401, fb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), fa, app(app(ty_@2, fg), fh)) → new_esEs2(xv301, xv401, fg, fh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, ha), hb), ge) → new_esEs2(xv300, xv400, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(ty_[], eb))) → new_esEs(xv300, xv400, eb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_[], gh)), ge)) → new_esEs(xv300, xv400, gh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(ty_[], ff))) → new_esEs(xv301, xv401, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_[], cg)), cd)) → new_esEs(xv300, xv400, cg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(ty_[], bac))) → new_esEs(xv302, xv402, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(ty_[], bbe)), bbb)) → new_esEs(xv301, xv401, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], bcf)), hg), bbb)) → new_esEs(xv300, xv400, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_[], be))) → new_esEs(xv300, xv400, be)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(xv30, xv31), :(xv40, xv41), ba) → new_esEs(xv31, xv41, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_[], eh)) → new_esEs(xv30, xv40, eh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(ty_[], bbe), bbb) → new_esEs(xv301, xv401, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(ty_[], bac)) → new_esEs(xv302, xv402, bac)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], bcf), hg, bbb) → new_esEs(xv300, xv400, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Right(xv300), Right(xv400), df, app(ty_[], eb)) → new_esEs(xv300, xv400, eb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(Left(xv300), Left(xv400), app(ty_[], cg), cd) → new_esEs(xv300, xv400, cg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(app(ty_Either, fc), fd))) → new_esEs1(xv301, xv401, fc, fd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_Either, gf), gg)), ge)) → new_esEs1(xv300, xv400, gf, gg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, ce), cf)), cd)) → new_esEs1(xv300, xv400, ce, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, bcd), bce)), hg), bbb)) → new_esEs1(xv300, xv400, bcd, bce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(app(ty_Either, baa), bab))) → new_esEs1(xv302, xv402, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, bc), bd))) → new_esEs1(xv300, xv400, bc, bd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(app(ty_Either, dh), ea))) → new_esEs1(xv300, xv400, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(app(ty_Either, bbc), bbd)), bbb)) → new_esEs1(xv301, xv401, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, bcd), bce), hg, bbb) → new_esEs1(xv300, xv400, bcd, bce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(app(ty_Either, bbc), bbd), bbb) → new_esEs1(xv301, xv401, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(app(ty_Either, baa), bab)) → new_esEs1(xv302, xv402, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, ce), cf), cd) → new_esEs1(xv300, xv400, ce, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(Right(xv300), Right(xv400), df, app(app(ty_Either, dh), ea)) → new_esEs1(xv300, xv400, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(app(ty_@3, hc), hd), he)), ge)) → new_esEs3(xv300, xv400, hc, hd, he)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, bda), bdb), bdc)), hg), bbb)) → new_esEs3(xv300, xv400, bda, bdb, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, dc), dd), de)), cd)) → new_esEs3(xv300, xv400, dc, dd, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(app(app(ty_@3, bbh), bca), bcb)), bbb)) → new_esEs3(xv301, xv401, bbh, bca, bcb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(app(app(ty_@3, baf), bag), bah))) → new_esEs3(xv302, xv402, baf, bag, bah)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bh), ca), cb))) → new_esEs3(xv300, xv400, bh, ca, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(app(app(ty_@3, ee), ef), eg))) → new_esEs3(xv300, xv400, ee, ef, eg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(app(app(ty_@3, ga), gb), gc))) → new_esEs3(xv301, xv401, ga, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(ty_Maybe, bba)), bbb)) → new_esEs0(xv301, xv401, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, bcc)), hg), bbb)) → new_esEs0(xv300, xv400, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(ty_Maybe, hh))) → new_esEs0(xv302, xv402, hh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(ty_Maybe, dg))) → new_esEs0(xv300, xv400, dg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, cc)), cd)) → new_esEs0(xv300, xv400, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_Maybe, gd)), ge)) → new_esEs0(xv300, xv400, gd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, bb))) → new_esEs0(xv300, xv400, bb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(ty_Maybe, fb))) → new_esEs0(xv301, xv401, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, bcg), bch)), hg), bbb)) → new_esEs2(xv300, xv400, bcg, bch)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), hg), app(app(ty_@2, bad), bae))) → new_esEs2(xv302, xv402, bad, bae)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, df), app(app(ty_@2, ec), ed))) → new_esEs2(xv300, xv400, ec, ed)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, da), db)), cd)) → new_esEs2(xv300, xv400, da, db)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, hf), app(app(ty_@2, bbf), bbg)), bbb)) → new_esEs2(xv301, xv401, bbf, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, fa), app(app(ty_@2, fg), fh))) → new_esEs2(xv301, xv401, fg, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bf), bg))) → new_esEs2(xv300, xv400, bf, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_@2, ha), hb)), ge)) → new_esEs2(xv300, xv400, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(app(app(ty_@3, baf), bag), bah)) → new_esEs3(xv302, xv402, baf, bag, bah)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(app(app(ty_@3, bbh), bca), bcb), bbb) → new_esEs3(xv301, xv401, bbh, bca, bcb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, bda), bdb), bdc), hg, bbb) → new_esEs3(xv300, xv400, bda, bdb, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(Right(xv300), Right(xv400), df, app(app(app(ty_@3, ee), ef), eg)) → new_esEs3(xv300, xv400, ee, ef, eg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, dc), dd), de), cd) → new_esEs3(xv300, xv400, dc, dd, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(ty_Maybe, bba), bbb) → new_esEs0(xv301, xv401, bba)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(ty_Maybe, hh)) → new_esEs0(xv302, xv402, hh)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, bcc), hg, bbb) → new_esEs0(xv300, xv400, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, bcg), bch), hg, bbb) → new_esEs2(xv300, xv400, bcg, bch)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, hg, app(app(ty_@2, bad), bae)) → new_esEs2(xv302, xv402, bad, bae)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs3(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), hf, app(app(ty_@2, bbf), bbg), bbb) → new_esEs2(xv301, xv401, bbf, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(Right(xv300), Right(xv400), df, app(ty_Maybe, dg)) → new_esEs0(xv300, xv400, dg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, cc), cd) → new_esEs0(xv300, xv400, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, da), db), cd) → new_esEs2(xv300, xv400, da, db)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(Right(xv300), Right(xv400), df, app(app(ty_@2, ec), ed)) → new_esEs2(xv300, xv400, ec, ed)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4