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

YES 1.7730000000000001 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/List.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ LR

mainModule List

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

module List where

import qualified Maybe
import qualified Prelude

intersect :: Eq a => [a] -> [a] -> [a]

intersect

intersectBy (==)

intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

intersectBy

eq xs ys

concatMap (\vv2 ->

case	vv2 of
	x	->	if any (eq x) ys then x : [] else []
	_	->	[]

) xs

module Maybe where

import qualified List
import qualified Prelude

Lambda Reductions:
The following Lambda expression

\vv2→

case vv2 of
x → if any (eq x) ys then x : [] else []

_ → []

is transformed to

intersectBy0 eq ys vv2 =

case vv2 of
x → if any (eq x) ys then x : [] else []

_ → []

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

mainModule List

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

module List where

import qualified Maybe
import qualified Prelude

intersect :: Eq a => [a] -> [a] -> [a]

intersect

intersectBy (==)

intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

intersectBy

eq xs ys

concatMap (intersectBy0 eq ys) xs

intersectBy0

eq ys vv2

case	vv2 of
	x	->	if any (eq x) ys then x : [] else []
	_	->	[]

module Maybe where

import qualified List
import qualified Prelude

Case Reductions:
The following Case expression

case vv2 of
x → if any (eq x) ys then x : [] else []

_ → []

is transformed to

intersectBy00 eq ys x = if any (eq x) ys then x : [] else []

intersectBy00 eq ys _ = []

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

mainModule List

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

module List where

import qualified Maybe
import qualified Prelude

intersect :: Eq a => [a] -> [a] -> [a]

intersect

intersectBy (==)

intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

intersectBy

eq xs ys

concatMap (intersectBy0 eq ys) xs

intersectBy0

eq ys vv2

intersectBy00 eq ys vv2

intersectBy00	eq ys x	=	if any (eq x) ys then x : [] else []
intersectBy00	eq ys _	=	[]

module Maybe where

import qualified List
import qualified Prelude

If Reductions:
The following If expression

if any (eq x) ys then x : [] else []

is transformed to

intersectBy000 x True = x : []

intersectBy000 x False = []

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

mainModule List

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

module List where

import qualified Maybe
import qualified Prelude

intersect :: Eq a => [a] -> [a] -> [a]

intersect

intersectBy (==)

intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

intersectBy

eq xs ys

concatMap (intersectBy0 eq ys) xs

intersectBy0

eq ys vv2

intersectBy00 eq ys vv2

intersectBy00	eq ys x	=	intersectBy000 x (any (eq x) ys)
intersectBy00	eq ys _	=	[]

intersectBy000	x True	=	x : []
intersectBy000	x False	=	[]

module Maybe where

import qualified List
import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

mainModule List

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

module List where

import qualified Maybe
import qualified Prelude

intersect :: Eq a => [a] -> [a] -> [a]

intersect

intersectBy (==)

intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

intersectBy

eq xs ys

concatMap (intersectBy0 eq ys) xs

intersectBy0

eq ys vv2

intersectBy00 eq ys vv2

intersectBy00	eq ys x	=	intersectBy000 x (any (eq x) ys)
intersectBy00	eq ys vw	=	[]

intersectBy000	x True	=	x : []
intersectBy000	x False	=	[]

module Maybe where

import qualified List
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

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

                    ↳ HASKELL

                      ↳ Narrow

mainModule List

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

module List where

import qualified Maybe
import qualified Prelude

intersect :: Eq a => [a] -> [a] -> [a]

intersect

intersectBy (==)

intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]

intersectBy

eq xs ys

concatMap (intersectBy0 eq ys) xs

intersectBy0

eq ys vv2

intersectBy00 eq ys vv2

intersectBy00	eq ys x	=	intersectBy000 x (any (eq x) ys)
intersectBy00	eq ys vw	=	[]

intersectBy000	x True	=	x : []
intersectBy000	x False	=	[]

module Maybe where

import qualified List
import qualified Prelude

Haskell To QDPs

digraph dp_graph {
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7[label="concat . map (intersectBy0 (==) xx4)\n  Eq a",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
8[label="concat (map (intersectBy0 (==) xx4) xx3)\n  Eq a",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
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694 -> 10[label="",style="solid", color="burlywood", weight=3];
695[label="xx3/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 695[label="",style="solid", color="burlywood", weight=9];
695 -> 11[label="",style="solid", color="burlywood", weight=3];
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11[label="foldr (++) [] (map (intersectBy0 (==) xx4) [])\n  Eq a",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
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13[label="foldr (++) [] []\n  Eq a",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3];
14 -> 16[label="",style="dashed", color="red", weight=0];
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15[label="[]\n  Eq a",fontsize=16,color="green",shape="box"];17 -> 9[label="",style="dashed", color="red", weight=0];
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16[label="(++) intersectBy0 (==) xx4 xx30 xx5\n  Eq a",fontsize=16,color="black",shape="triangle"];16 -> 19[label="",style="solid", color="black", weight=3];
18[label="xx31\n  Eq a",fontsize=16,color="green",shape="box"];19[label="(++) intersectBy00 (==) xx4 xx30 xx5\n  Eq a",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3];
20[label="(++) intersectBy000 xx30 (any ((==) xx30) xx4) xx5\n  Eq a",fontsize=16,color="black",shape="box"];20 -> 21[label="",style="solid", color="black", weight=3];
21[label="(++) intersectBy000 xx30 (or . map ((==) xx30)) xx5\n  Eq a",fontsize=16,color="black",shape="box"];21 -> 22[label="",style="solid", color="black", weight=3];
22[label="(++) intersectBy000 xx30 (or (map ((==) xx30) xx4)) xx5\n  Eq a",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3];
23[label="(++) intersectBy000 xx30 (foldr (||) False (map ((==) xx30) xx4)) xx5\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];698[label="xx4/xx40 : xx41",fontsize=10,color="white",style="solid",shape="box"];23 -> 698[label="",style="solid", color="burlywood", weight=9];
698 -> 24[label="",style="solid", color="burlywood", weight=3];
699[label="xx4/[]",fontsize=10,color="white",style="solid",shape="box"];23 -> 699[label="",style="solid", color="burlywood", weight=9];
699 -> 25[label="",style="solid", color="burlywood", weight=3];
24[label="(++) intersectBy000 xx30 (foldr (||) False (map ((==) xx30) (xx40 : xx41))) xx5\n  Eq a",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3];
25[label="(++) intersectBy000 xx30 (foldr (||) False (map ((==) xx30) [])) xx5\n  Eq a",fontsize=16,color="black",shape="box"];25 -> 27[label="",style="solid", color="black", weight=3];
26[label="(++) intersectBy000 xx30 (foldr (||) False (((==) xx30 xx40) : map ((==) xx30) xx41)) xx5\n  Eq a",fontsize=16,color="black",shape="box"];26 -> 28[label="",style="solid", color="black", weight=3];
27[label="(++) intersectBy000 xx30 (foldr (||) False []) xx5\n  Eq a",fontsize=16,color="black",shape="box"];27 -> 29[label="",style="solid", color="black", weight=3];
28 -> 30[label="",style="dashed", color="red", weight=0];
28[label="(++) intersectBy000 xx30 ((||) (==) xx30 xx40 foldr (||) False (map ((==) xx30) xx41)) xx5\n  Eq a",fontsize=16,color="magenta"];28 -> 31[label="",style="dashed", color="magenta", weight=3];
28 -> 32[label="",style="dashed", color="magenta", weight=3];
28 -> 33[label="",style="dashed", color="magenta", weight=3];
28 -> 34[label="",style="dashed", color="magenta", weight=3];
29[label="(++) intersectBy000 xx30 False xx5\n  Eq a",fontsize=16,color="black",shape="box"];29 -> 35[label="",style="solid", color="black", weight=3];
31[label="xx30\n  Eq a",fontsize=16,color="green",shape="box"];32[label="(==) xx30 xx40\n  Eq a",fontsize=16,color="blue",shape="box"];701[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 701[label="",style="solid", color="blue", weight=9];
701 -> 36[label="",style="solid", color="blue", weight=3];
702[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 702[label="",style="solid", color="blue", weight=9];
702 -> 37[label="",style="solid", color="blue", weight=3];
703[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 703[label="",style="solid", color="blue", weight=9];
703 -> 38[label="",style="solid", color="blue", weight=3];
704[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 704[label="",style="solid", color="blue", weight=9];
704 -> 39[label="",style="solid", color="blue", weight=3];
705[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 705[label="",style="solid", color="blue", weight=9];
705 -> 40[label="",style="solid", color="blue", weight=3];
706[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 706[label="",style="solid", color="blue", weight=9];
706 -> 41[label="",style="solid", color="blue", weight=3];
707[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 707[label="",style="solid", color="blue", weight=9];
707 -> 42[label="",style="solid", color="blue", weight=3];
708[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 708[label="",style="solid", color="blue", weight=9];
708 -> 43[label="",style="solid", color="blue", weight=3];
709[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 709[label="",style="solid", color="blue", weight=9];
709 -> 44[label="",style="solid", color="blue", weight=3];
710[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 710[label="",style="solid", color="blue", weight=9];
710 -> 45[label="",style="solid", color="blue", weight=3];
711[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 711[label="",style="solid", color="blue", weight=9];
711 -> 46[label="",style="solid", color="blue", weight=3];
712[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 712[label="",style="solid", color="blue", weight=9];
712 -> 47[label="",style="solid", color="blue", weight=3];
713[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 713[label="",style="solid", color="blue", weight=9];
713 -> 48[label="",style="solid", color="blue", weight=3];
714[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 714[label="",style="solid", color="blue", weight=9];
714 -> 49[label="",style="solid", color="blue", weight=3];
33[label="xx5\n  Eq a",fontsize=16,color="green",shape="box"];34[label="xx41\n  Eq a",fontsize=16,color="green",shape="box"];30[label="(++) intersectBy000 xx11 ((||) xx12 foldr (||) False (map ((==) xx11) xx13)) xx14\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];715[label="xx12/False",fontsize=10,color="white",style="solid",shape="box"];30 -> 715[label="",style="solid", color="burlywood", weight=9];
715 -> 50[label="",style="solid", color="burlywood", weight=3];
716[label="xx12/True",fontsize=10,color="white",style="solid",shape="box"];30 -> 716[label="",style="solid", color="burlywood", weight=9];
716 -> 51[label="",style="solid", color="burlywood", weight=3];
35[label="(++) [] xx5\n  Eq a",fontsize=16,color="black",shape="triangle"];35 -> 52[label="",style="solid", color="black", weight=3];
36[label="(==) xx30 xx40",fontsize=16,color="black",shape="triangle"];36 -> 53[label="",style="solid", color="black", weight=3];
37[label="(==) xx30 xx40\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];717[label="xx30/xx300 : xx301",fontsize=10,color="white",style="solid",shape="box"];37 -> 717[label="",style="solid", color="burlywood", weight=9];
717 -> 54[label="",style="solid", color="burlywood", weight=3];
718[label="xx30/[]",fontsize=10,color="white",style="solid",shape="box"];37 -> 718[label="",style="solid", color="burlywood", weight=9];
718 -> 55[label="",style="solid", color="burlywood", weight=3];
38[label="(==) xx30 xx40",fontsize=16,color="black",shape="triangle"];38 -> 56[label="",style="solid", color="black", weight=3];
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719 -> 57[label="",style="solid", color="burlywood", weight=3];
40[label="(==) xx30 xx40",fontsize=16,color="burlywood",shape="triangle"];720[label="xx30/()",fontsize=10,color="white",style="solid",shape="box"];40 -> 720[label="",style="solid", color="burlywood", weight=9];
720 -> 58[label="",style="solid", color="burlywood", weight=3];
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721 -> 59[label="",style="solid", color="burlywood", weight=3];
722[label="xx30/Right xx300",fontsize=10,color="white",style="solid",shape="box"];41 -> 722[label="",style="solid", color="burlywood", weight=9];
722 -> 60[label="",style="solid", color="burlywood", weight=3];
42[label="(==) xx30 xx40",fontsize=16,color="burlywood",shape="triangle"];723[label="xx30/False",fontsize=10,color="white",style="solid",shape="box"];42 -> 723[label="",style="solid", color="burlywood", weight=9];
723 -> 61[label="",style="solid", color="burlywood", weight=3];
724[label="xx30/True",fontsize=10,color="white",style="solid",shape="box"];42 -> 724[label="",style="solid", color="burlywood", weight=9];
724 -> 62[label="",style="solid", color="burlywood", weight=3];
43[label="(==) xx30 xx40",fontsize=16,color="burlywood",shape="triangle"];725[label="xx30/LT",fontsize=10,color="white",style="solid",shape="box"];43 -> 725[label="",style="solid", color="burlywood", weight=9];
725 -> 63[label="",style="solid", color="burlywood", weight=3];
726[label="xx30/EQ",fontsize=10,color="white",style="solid",shape="box"];43 -> 726[label="",style="solid", color="burlywood", weight=9];
726 -> 64[label="",style="solid", color="burlywood", weight=3];
727[label="xx30/GT",fontsize=10,color="white",style="solid",shape="box"];43 -> 727[label="",style="solid", color="burlywood", weight=9];
727 -> 65[label="",style="solid", color="burlywood", weight=3];
44[label="(==) xx30 xx40\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="triangle"];728[label="xx30/(xx300,xx301,xx302)",fontsize=10,color="white",style="solid",shape="box"];44 -> 728[label="",style="solid", color="burlywood", weight=9];
728 -> 66[label="",style="solid", color="burlywood", weight=3];
45[label="(==) xx30 xx40",fontsize=16,color="black",shape="triangle"];45 -> 67[label="",style="solid", color="black", weight=3];
46[label="(==) xx30 xx40",fontsize=16,color="black",shape="triangle"];46 -> 68[label="",style="solid", color="black", weight=3];
47[label="(==) xx30 xx40\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];729[label="xx30/Nothing",fontsize=10,color="white",style="solid",shape="box"];47 -> 729[label="",style="solid", color="burlywood", weight=9];
729 -> 69[label="",style="solid", color="burlywood", weight=3];
730[label="xx30/Just xx300",fontsize=10,color="white",style="solid",shape="box"];47 -> 730[label="",style="solid", color="burlywood", weight=9];
730 -> 70[label="",style="solid", color="burlywood", weight=3];
48[label="(==) xx30 xx40",fontsize=16,color="burlywood",shape="triangle"];731[label="xx30/Integer xx300",fontsize=10,color="white",style="solid",shape="box"];48 -> 731[label="",style="solid", color="burlywood", weight=9];
731 -> 71[label="",style="solid", color="burlywood", weight=3];
49[label="(==) xx30 xx40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];732[label="xx30/(xx300,xx301)",fontsize=10,color="white",style="solid",shape="box"];49 -> 732[label="",style="solid", color="burlywood", weight=9];
732 -> 72[label="",style="solid", color="burlywood", weight=3];
50[label="(++) intersectBy000 xx11 ((||) False foldr (||) False (map ((==) xx11) xx13)) xx14\n  Eq a",fontsize=16,color="black",shape="box"];50 -> 73[label="",style="solid", color="black", weight=3];
51[label="(++) intersectBy000 xx11 ((||) True foldr (||) False (map ((==) xx11) xx13)) xx14\n  Eq a",fontsize=16,color="black",shape="box"];51 -> 74[label="",style="solid", color="black", weight=3];
52[label="xx5\n  Eq a",fontsize=16,color="green",shape="box"];53[label="primEqChar xx30 xx40",fontsize=16,color="burlywood",shape="box"];733[label="xx30/Char xx300",fontsize=10,color="white",style="solid",shape="box"];53 -> 733[label="",style="solid", color="burlywood", weight=9];
733 -> 75[label="",style="solid", color="burlywood", weight=3];
54[label="(==) xx300 : xx301 xx40\n  Eq a",fontsize=16,color="burlywood",shape="box"];734[label="xx40/xx400 : xx401",fontsize=10,color="white",style="solid",shape="box"];54 -> 734[label="",style="solid", color="burlywood", weight=9];
734 -> 76[label="",style="solid", color="burlywood", weight=3];
735[label="xx40/[]",fontsize=10,color="white",style="solid",shape="box"];54 -> 735[label="",style="solid", color="burlywood", weight=9];
735 -> 77[label="",style="solid", color="burlywood", weight=3];
55[label="(==) [] xx40\n  Eq a",fontsize=16,color="burlywood",shape="box"];736[label="xx40/xx400 : xx401",fontsize=10,color="white",style="solid",shape="box"];55 -> 736[label="",style="solid", color="burlywood", weight=9];
736 -> 78[label="",style="solid", color="burlywood", weight=3];
737[label="xx40/[]",fontsize=10,color="white",style="solid",shape="box"];55 -> 737[label="",style="solid", color="burlywood", weight=9];
737 -> 79[label="",style="solid", color="burlywood", weight=3];
56[label="primEqFloat xx30 xx40",fontsize=16,color="burlywood",shape="box"];738[label="xx30/Float xx300 xx301",fontsize=10,color="white",style="solid",shape="box"];56 -> 738[label="",style="solid", color="burlywood", weight=9];
738 -> 80[label="",style="solid", color="burlywood", weight=3];
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739 -> 81[label="",style="solid", color="burlywood", weight=3];
58[label="(==) () xx40",fontsize=16,color="burlywood",shape="box"];740[label="xx40/()",fontsize=10,color="white",style="solid",shape="box"];58 -> 740[label="",style="solid", color="burlywood", weight=9];
740 -> 82[label="",style="solid", color="burlywood", weight=3];
59[label="(==) Left xx300 xx40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];741[label="xx40/Left xx400",fontsize=10,color="white",style="solid",shape="box"];59 -> 741[label="",style="solid", color="burlywood", weight=9];
741 -> 83[label="",style="solid", color="burlywood", weight=3];
742[label="xx40/Right xx400",fontsize=10,color="white",style="solid",shape="box"];59 -> 742[label="",style="solid", color="burlywood", weight=9];
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743 -> 85[label="",style="solid", color="burlywood", weight=3];
744[label="xx40/Right xx400",fontsize=10,color="white",style="solid",shape="box"];60 -> 744[label="",style="solid", color="burlywood", weight=9];
744 -> 86[label="",style="solid", color="burlywood", weight=3];
61[label="(==) False xx40",fontsize=16,color="burlywood",shape="box"];745[label="xx40/False",fontsize=10,color="white",style="solid",shape="box"];61 -> 745[label="",style="solid", color="burlywood", weight=9];
745 -> 87[label="",style="solid", color="burlywood", weight=3];
746[label="xx40/True",fontsize=10,color="white",style="solid",shape="box"];61 -> 746[label="",style="solid", color="burlywood", weight=9];
746 -> 88[label="",style="solid", color="burlywood", weight=3];
62[label="(==) True xx40",fontsize=16,color="burlywood",shape="box"];747[label="xx40/False",fontsize=10,color="white",style="solid",shape="box"];62 -> 747[label="",style="solid", color="burlywood", weight=9];
747 -> 89[label="",style="solid", color="burlywood", weight=3];
748[label="xx40/True",fontsize=10,color="white",style="solid",shape="box"];62 -> 748[label="",style="solid", color="burlywood", weight=9];
748 -> 90[label="",style="solid", color="burlywood", weight=3];
63[label="(==) LT xx40",fontsize=16,color="burlywood",shape="box"];749[label="xx40/LT",fontsize=10,color="white",style="solid",shape="box"];63 -> 749[label="",style="solid", color="burlywood", weight=9];
749 -> 91[label="",style="solid", color="burlywood", weight=3];
750[label="xx40/EQ",fontsize=10,color="white",style="solid",shape="box"];63 -> 750[label="",style="solid", color="burlywood", weight=9];
750 -> 92[label="",style="solid", color="burlywood", weight=3];
751[label="xx40/GT",fontsize=10,color="white",style="solid",shape="box"];63 -> 751[label="",style="solid", color="burlywood", weight=9];
751 -> 93[label="",style="solid", color="burlywood", weight=3];
64[label="(==) EQ xx40",fontsize=16,color="burlywood",shape="box"];752[label="xx40/LT",fontsize=10,color="white",style="solid",shape="box"];64 -> 752[label="",style="solid", color="burlywood", weight=9];
752 -> 94[label="",style="solid", color="burlywood", weight=3];
753[label="xx40/EQ",fontsize=10,color="white",style="solid",shape="box"];64 -> 753[label="",style="solid", color="burlywood", weight=9];
753 -> 95[label="",style="solid", color="burlywood", weight=3];
754[label="xx40/GT",fontsize=10,color="white",style="solid",shape="box"];64 -> 754[label="",style="solid", color="burlywood", weight=9];
754 -> 96[label="",style="solid", color="burlywood", weight=3];
65[label="(==) GT xx40",fontsize=16,color="burlywood",shape="box"];755[label="xx40/LT",fontsize=10,color="white",style="solid",shape="box"];65 -> 755[label="",style="solid", color="burlywood", weight=9];
755 -> 97[label="",style="solid", color="burlywood", weight=3];
756[label="xx40/EQ",fontsize=10,color="white",style="solid",shape="box"];65 -> 756[label="",style="solid", color="burlywood", weight=9];
756 -> 98[label="",style="solid", color="burlywood", weight=3];
757[label="xx40/GT",fontsize=10,color="white",style="solid",shape="box"];65 -> 757[label="",style="solid", color="burlywood", weight=9];
757 -> 99[label="",style="solid", color="burlywood", weight=3];
66[label="(==) (xx300,xx301,xx302) xx40\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];758[label="xx40/(xx400,xx401,xx402)",fontsize=10,color="white",style="solid",shape="box"];66 -> 758[label="",style="solid", color="burlywood", weight=9];
758 -> 100[label="",style="solid", color="burlywood", weight=3];
67[label="primEqInt xx30 xx40",fontsize=16,color="burlywood",shape="triangle"];759[label="xx30/Pos xx300",fontsize=10,color="white",style="solid",shape="box"];67 -> 759[label="",style="solid", color="burlywood", weight=9];
759 -> 101[label="",style="solid", color="burlywood", weight=3];
760[label="xx30/Neg xx300",fontsize=10,color="white",style="solid",shape="box"];67 -> 760[label="",style="solid", color="burlywood", weight=9];
760 -> 102[label="",style="solid", color="burlywood", weight=3];
68[label="primEqDouble xx30 xx40",fontsize=16,color="burlywood",shape="box"];761[label="xx30/Double xx300 xx301",fontsize=10,color="white",style="solid",shape="box"];68 -> 761[label="",style="solid", color="burlywood", weight=9];
761 -> 103[label="",style="solid", color="burlywood", weight=3];
69[label="(==) Nothing xx40\n  Eq a",fontsize=16,color="burlywood",shape="box"];762[label="xx40/Nothing",fontsize=10,color="white",style="solid",shape="box"];69 -> 762[label="",style="solid", color="burlywood", weight=9];
762 -> 104[label="",style="solid", color="burlywood", weight=3];
763[label="xx40/Just xx400",fontsize=10,color="white",style="solid",shape="box"];69 -> 763[label="",style="solid", color="burlywood", weight=9];
763 -> 105[label="",style="solid", color="burlywood", weight=3];
70[label="(==) Just xx300 xx40\n  Eq a",fontsize=16,color="burlywood",shape="box"];764[label="xx40/Nothing",fontsize=10,color="white",style="solid",shape="box"];70 -> 764[label="",style="solid", color="burlywood", weight=9];
764 -> 106[label="",style="solid", color="burlywood", weight=3];
765[label="xx40/Just xx400",fontsize=10,color="white",style="solid",shape="box"];70 -> 765[label="",style="solid", color="burlywood", weight=9];
765 -> 107[label="",style="solid", color="burlywood", weight=3];
71[label="(==) Integer xx300 xx40",fontsize=16,color="burlywood",shape="box"];766[label="xx40/Integer xx400",fontsize=10,color="white",style="solid",shape="box"];71 -> 766[label="",style="solid", color="burlywood", weight=9];
766 -> 108[label="",style="solid", color="burlywood", weight=3];
72[label="(==) (xx300,xx301) xx40\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];767[label="xx40/(xx400,xx401)",fontsize=10,color="white",style="solid",shape="box"];72 -> 767[label="",style="solid", color="burlywood", weight=9];
767 -> 109[label="",style="solid", color="burlywood", weight=3];
73 -> 23[label="",style="dashed", color="red", weight=0];
73[label="(++) intersectBy000 xx11 (foldr (||) False (map ((==) xx11) xx13)) xx14\n  Eq a",fontsize=16,color="magenta"];73 -> 110[label="",style="dashed", color="magenta", weight=3];
73 -> 111[label="",style="dashed", color="magenta", weight=3];
73 -> 112[label="",style="dashed", color="magenta", weight=3];
74[label="(++) intersectBy000 xx11 True xx14\n  Eq a",fontsize=16,color="black",shape="box"];74 -> 113[label="",style="solid", color="black", weight=3];
75[label="primEqChar (Char xx300) xx40",fontsize=16,color="burlywood",shape="box"];769[label="xx40/Char xx400",fontsize=10,color="white",style="solid",shape="box"];75 -> 769[label="",style="solid", color="burlywood", weight=9];
769 -> 114[label="",style="solid", color="burlywood", weight=3];
76[label="(==) xx300 : xx301 xx400 : xx401\n  Eq a",fontsize=16,color="black",shape="box"];76 -> 115[label="",style="solid", color="black", weight=3];
77[label="(==) xx300 : xx301 []\n  Eq a",fontsize=16,color="black",shape="box"];77 -> 116[label="",style="solid", color="black", weight=3];
78[label="(==) [] xx400 : xx401\n  Eq a",fontsize=16,color="black",shape="box"];78 -> 117[label="",style="solid", color="black", weight=3];
79[label="(==) [] []\n  Eq a",fontsize=16,color="black",shape="box"];79 -> 118[label="",style="solid", color="black", weight=3];
80[label="primEqFloat (Float xx300 xx301) xx40",fontsize=16,color="burlywood",shape="box"];770[label="xx40/Float xx400 xx401",fontsize=10,color="white",style="solid",shape="box"];80 -> 770[label="",style="solid", color="burlywood", weight=9];
770 -> 119[label="",style="solid", color="burlywood", weight=3];
81[label="(==) xx300 :% xx301 xx400 :% xx401\n  Integral a",fontsize=16,color="black",shape="box"];81 -> 120[label="",style="solid", color="black", weight=3];
82[label="(==) () ()",fontsize=16,color="black",shape="box"];82 -> 121[label="",style="solid", color="black", weight=3];
83[label="(==) Left xx300 Left xx400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];83 -> 122[label="",style="solid", color="black", weight=3];
84[label="(==) Left xx300 Right xx400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];84 -> 123[label="",style="solid", color="black", weight=3];
85[label="(==) Right xx300 Left xx400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];85 -> 124[label="",style="solid", color="black", weight=3];
86[label="(==) Right xx300 Right xx400\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];86 -> 125[label="",style="solid", color="black", weight=3];
87[label="(==) False False",fontsize=16,color="black",shape="box"];87 -> 126[label="",style="solid", color="black", weight=3];
88[label="(==) False True",fontsize=16,color="black",shape="box"];88 -> 127[label="",style="solid", color="black", weight=3];
89[label="(==) True False",fontsize=16,color="black",shape="box"];89 -> 128[label="",style="solid", color="black", weight=3];
90[label="(==) True True",fontsize=16,color="black",shape="box"];90 -> 129[label="",style="solid", color="black", weight=3];
91[label="(==) LT LT",fontsize=16,color="black",shape="box"];91 -> 130[label="",style="solid", color="black", weight=3];
92[label="(==) LT EQ",fontsize=16,color="black",shape="box"];92 -> 131[label="",style="solid", color="black", weight=3];
93[label="(==) LT GT",fontsize=16,color="black",shape="box"];93 -> 132[label="",style="solid", color="black", weight=3];
94[label="(==) EQ LT",fontsize=16,color="black",shape="box"];94 -> 133[label="",style="solid", color="black", weight=3];
95[label="(==) EQ EQ",fontsize=16,color="black",shape="box"];95 -> 134[label="",style="solid", color="black", weight=3];
96[label="(==) EQ GT",fontsize=16,color="black",shape="box"];96 -> 135[label="",style="solid", color="black", weight=3];
97[label="(==) GT LT",fontsize=16,color="black",shape="box"];97 -> 136[label="",style="solid", color="black", weight=3];
98[label="(==) GT EQ",fontsize=16,color="black",shape="box"];98 -> 137[label="",style="solid", color="black", weight=3];
99[label="(==) GT GT",fontsize=16,color="black",shape="box"];99 -> 138[label="",style="solid", color="black", weight=3];
100[label="(==) (xx300,xx301,xx302) (xx400,xx401,xx402)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];100 -> 139[label="",style="solid", color="black", weight=3];
101[label="primEqInt (Pos xx300) xx40",fontsize=16,color="burlywood",shape="box"];771[label="xx300/Succ xx3000",fontsize=10,color="white",style="solid",shape="box"];101 -> 771[label="",style="solid", color="burlywood", weight=9];
771 -> 140[label="",style="solid", color="burlywood", weight=3];
772[label="xx300/Zero",fontsize=10,color="white",style="solid",shape="box"];101 -> 772[label="",style="solid", color="burlywood", weight=9];
772 -> 141[label="",style="solid", color="burlywood", weight=3];
102[label="primEqInt (Neg xx300) xx40",fontsize=16,color="burlywood",shape="box"];773[label="xx300/Succ xx3000",fontsize=10,color="white",style="solid",shape="box"];102 -> 773[label="",style="solid", color="burlywood", weight=9];
773 -> 142[label="",style="solid", color="burlywood", weight=3];
774[label="xx300/Zero",fontsize=10,color="white",style="solid",shape="box"];102 -> 774[label="",style="solid", color="burlywood", weight=9];
774 -> 143[label="",style="solid", color="burlywood", weight=3];
103[label="primEqDouble (Double xx300 xx301) xx40",fontsize=16,color="burlywood",shape="box"];775[label="xx40/Double xx400 xx401",fontsize=10,color="white",style="solid",shape="box"];103 -> 775[label="",style="solid", color="burlywood", weight=9];
775 -> 144[label="",style="solid", color="burlywood", weight=3];
104[label="(==) Nothing Nothing\n  Eq a",fontsize=16,color="black",shape="box"];104 -> 145[label="",style="solid", color="black", weight=3];
105[label="(==) Nothing Just xx400\n  Eq a",fontsize=16,color="black",shape="box"];105 -> 146[label="",style="solid", color="black", weight=3];
106[label="(==) Just xx300 Nothing\n  Eq a",fontsize=16,color="black",shape="box"];106 -> 147[label="",style="solid", color="black", weight=3];
107[label="(==) Just xx300 Just xx400\n  Eq a",fontsize=16,color="black",shape="box"];107 -> 148[label="",style="solid", color="black", weight=3];
108[label="(==) Integer xx300 Integer xx400",fontsize=16,color="black",shape="box"];108 -> 149[label="",style="solid", color="black", weight=3];
109[label="(==) (xx300,xx301) (xx400,xx401)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];109 -> 150[label="",style="solid", color="black", weight=3];
110[label="xx13\n  Eq a",fontsize=16,color="green",shape="box"];111[label="xx14\n  Eq a",fontsize=16,color="green",shape="box"];112[label="xx11\n  Eq a",fontsize=16,color="green",shape="box"];113[label="(++) (xx11 : []) xx14\n  Eq a",fontsize=16,color="black",shape="box"];113 -> 151[label="",style="solid", color="black", weight=3];
114[label="primEqChar (Char xx300) (Char xx400)",fontsize=16,color="black",shape="box"];114 -> 152[label="",style="solid", color="black", weight=3];
115 -> 223[label="",style="dashed", color="red", weight=0];
115[label="xx300 == xx400 && xx301 == xx401\n  Eq a",fontsize=16,color="magenta"];115 -> 224[label="",style="dashed", color="magenta", weight=3];
115 -> 225[label="",style="dashed", color="magenta", weight=3];
116[label="False",fontsize=16,color="green",shape="box"];117[label="False",fontsize=16,color="green",shape="box"];118[label="True",fontsize=16,color="green",shape="box"];119[label="primEqFloat (Float xx300 xx301) (Float xx400 xx401)",fontsize=16,color="black",shape="box"];119 -> 164[label="",style="solid", color="black", weight=3];
120 -> 223[label="",style="dashed", color="red", weight=0];
120[label="xx300 == xx400 && xx301 == xx401\n  Integral a",fontsize=16,color="magenta"];120 -> 226[label="",style="dashed", color="magenta", weight=3];
120 -> 227[label="",style="dashed", color="magenta", weight=3];
121[label="True",fontsize=16,color="green",shape="box"];122[label="xx300 == xx400\n  Eq a",fontsize=16,color="blue",shape="box"];778[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 778[label="",style="solid", color="blue", weight=9];
778 -> 165[label="",style="solid", color="blue", weight=3];
779[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 779[label="",style="solid", color="blue", weight=9];
779 -> 166[label="",style="solid", color="blue", weight=3];
780[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 780[label="",style="solid", color="blue", weight=9];
780 -> 167[label="",style="solid", color="blue", weight=3];
781[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 781[label="",style="solid", color="blue", weight=9];
781 -> 168[label="",style="solid", color="blue", weight=3];
782[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 782[label="",style="solid", color="blue", weight=9];
782 -> 169[label="",style="solid", color="blue", weight=3];
783[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 783[label="",style="solid", color="blue", weight=9];
783 -> 170[label="",style="solid", color="blue", weight=3];
784[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 784[label="",style="solid", color="blue", weight=9];
784 -> 171[label="",style="solid", color="blue", weight=3];
785[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 785[label="",style="solid", color="blue", weight=9];
785 -> 172[label="",style="solid", color="blue", weight=3];
786[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 786[label="",style="solid", color="blue", weight=9];
786 -> 173[label="",style="solid", color="blue", weight=3];
787[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 787[label="",style="solid", color="blue", weight=9];
787 -> 174[label="",style="solid", color="blue", weight=3];
788[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 788[label="",style="solid", color="blue", weight=9];
788 -> 175[label="",style="solid", color="blue", weight=3];
789[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 789[label="",style="solid", color="blue", weight=9];
789 -> 176[label="",style="solid", color="blue", weight=3];
790[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 790[label="",style="solid", color="blue", weight=9];
790 -> 177[label="",style="solid", color="blue", weight=3];
791[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 791[label="",style="solid", color="blue", weight=9];
791 -> 178[label="",style="solid", color="blue", weight=3];
123[label="False",fontsize=16,color="green",shape="box"];124[label="False",fontsize=16,color="green",shape="box"];125[label="xx300 == xx400\n  Eq a",fontsize=16,color="blue",shape="box"];792[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 792[label="",style="solid", color="blue", weight=9];
792 -> 179[label="",style="solid", color="blue", weight=3];
793[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 793[label="",style="solid", color="blue", weight=9];
793 -> 180[label="",style="solid", color="blue", weight=3];
794[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 794[label="",style="solid", color="blue", weight=9];
794 -> 181[label="",style="solid", color="blue", weight=3];
795[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 795[label="",style="solid", color="blue", weight=9];
795 -> 182[label="",style="solid", color="blue", weight=3];
796[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 796[label="",style="solid", color="blue", weight=9];
796 -> 183[label="",style="solid", color="blue", weight=3];
797[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 797[label="",style="solid", color="blue", weight=9];
797 -> 184[label="",style="solid", color="blue", weight=3];
798[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 798[label="",style="solid", color="blue", weight=9];
798 -> 185[label="",style="solid", color="blue", weight=3];
799[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 799[label="",style="solid", color="blue", weight=9];
799 -> 186[label="",style="solid", color="blue", weight=3];
800[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 800[label="",style="solid", color="blue", weight=9];
800 -> 187[label="",style="solid", color="blue", weight=3];
801[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 801[label="",style="solid", color="blue", weight=9];
801 -> 188[label="",style="solid", color="blue", weight=3];
802[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 802[label="",style="solid", color="blue", weight=9];
802 -> 189[label="",style="solid", color="blue", weight=3];
803[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 803[label="",style="solid", color="blue", weight=9];
803 -> 190[label="",style="solid", color="blue", weight=3];
804[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 804[label="",style="solid", color="blue", weight=9];
804 -> 191[label="",style="solid", color="blue", weight=3];
805[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 805[label="",style="solid", color="blue", weight=9];
805 -> 192[label="",style="solid", color="blue", weight=3];
126[label="True",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="False",fontsize=16,color="green",shape="box"];129[label="True",fontsize=16,color="green",shape="box"];130[label="True",fontsize=16,color="green",shape="box"];131[label="False",fontsize=16,color="green",shape="box"];132[label="False",fontsize=16,color="green",shape="box"];133[label="False",fontsize=16,color="green",shape="box"];134[label="True",fontsize=16,color="green",shape="box"];135[label="False",fontsize=16,color="green",shape="box"];136[label="False",fontsize=16,color="green",shape="box"];137[label="False",fontsize=16,color="green",shape="box"];138[label="True",fontsize=16,color="green",shape="box"];139 -> 223[label="",style="dashed", color="red", weight=0];
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194[label="primEqInt (Pos (Succ xx3000)) (Neg xx400)",fontsize=16,color="black",shape="box"];194 -> 334[label="",style="solid", color="black", weight=3];
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900 -> 335[label="",style="solid", color="burlywood", weight=3];
901[label="xx400/Zero",fontsize=10,color="white",style="solid",shape="box"];195 -> 901[label="",style="solid", color="burlywood", weight=9];
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902 -> 337[label="",style="solid", color="burlywood", weight=3];
903[label="xx400/Zero",fontsize=10,color="white",style="solid",shape="box"];196 -> 903[label="",style="solid", color="burlywood", weight=9];
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197[label="primEqInt (Neg (Succ xx3000)) (Pos xx400)",fontsize=16,color="black",shape="box"];197 -> 339[label="",style="solid", color="black", weight=3];
198[label="primEqInt (Neg (Succ xx3000)) (Neg xx400)",fontsize=16,color="burlywood",shape="box"];904[label="xx400/Succ xx4000",fontsize=10,color="white",style="solid",shape="box"];198 -> 904[label="",style="solid", color="burlywood", weight=9];
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905[label="xx400/Zero",fontsize=10,color="white",style="solid",shape="box"];198 -> 905[label="",style="solid", color="burlywood", weight=9];
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907[label="xx400/Zero",fontsize=10,color="white",style="solid",shape="box"];199 -> 907[label="",style="solid", color="burlywood", weight=9];
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908 -> 344[label="",style="solid", color="burlywood", weight=3];
909[label="xx400/Zero",fontsize=10,color="white",style="solid",shape="box"];200 -> 909[label="",style="solid", color="burlywood", weight=9];
909 -> 345[label="",style="solid", color="burlywood", weight=3];
201 -> 45[label="",style="dashed", color="red", weight=0];
201[label="xx300 * xx400 == xx301 * xx401",fontsize=16,color="magenta"];201 -> 346[label="",style="dashed", color="magenta", weight=3];
201 -> 347[label="",style="dashed", color="magenta", weight=3];
202 -> 36[label="",style="dashed", color="red", weight=0];
202[label="xx300 == xx400",fontsize=16,color="magenta"];202 -> 348[label="",style="dashed", color="magenta", weight=3];
202 -> 349[label="",style="dashed", color="magenta", weight=3];
203 -> 37[label="",style="dashed", color="red", weight=0];
203[label="xx300 == xx400\n  Eq a",fontsize=16,color="magenta"];203 -> 350[label="",style="dashed", color="magenta", weight=3];
203 -> 351[label="",style="dashed", color="magenta", weight=3];
204 -> 38[label="",style="dashed", color="red", weight=0];
204[label="xx300 == xx400",fontsize=16,color="magenta"];204 -> 352[label="",style="dashed", color="magenta", weight=3];
204 -> 353[label="",style="dashed", color="magenta", weight=3];
205 -> 39[label="",style="dashed", color="red", weight=0];
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205 -> 355[label="",style="dashed", color="magenta", weight=3];
206 -> 40[label="",style="dashed", color="red", weight=0];
206[label="xx300 == xx400",fontsize=16,color="magenta"];206 -> 356[label="",style="dashed", color="magenta", weight=3];
206 -> 357[label="",style="dashed", color="magenta", weight=3];
207 -> 41[label="",style="dashed", color="red", weight=0];
207[label="xx300 == xx400\n  Eq a  Eq b",fontsize=16,color="magenta"];207 -> 358[label="",style="dashed", color="magenta", weight=3];
207 -> 359[label="",style="dashed", color="magenta", weight=3];
208 -> 42[label="",style="dashed", color="red", weight=0];
208[label="xx300 == xx400",fontsize=16,color="magenta"];208 -> 360[label="",style="dashed", color="magenta", weight=3];
208 -> 361[label="",style="dashed", color="magenta", weight=3];
209 -> 43[label="",style="dashed", color="red", weight=0];
209[label="xx300 == xx400",fontsize=16,color="magenta"];209 -> 362[label="",style="dashed", color="magenta", weight=3];
209 -> 363[label="",style="dashed", color="magenta", weight=3];
210 -> 44[label="",style="dashed", color="red", weight=0];
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210 -> 365[label="",style="dashed", color="magenta", weight=3];
211 -> 45[label="",style="dashed", color="red", weight=0];
211[label="xx300 == xx400",fontsize=16,color="magenta"];211 -> 366[label="",style="dashed", color="magenta", weight=3];
211 -> 367[label="",style="dashed", color="magenta", weight=3];
212 -> 46[label="",style="dashed", color="red", weight=0];
212[label="xx300 == xx400",fontsize=16,color="magenta"];212 -> 368[label="",style="dashed", color="magenta", weight=3];
212 -> 369[label="",style="dashed", color="magenta", weight=3];
213 -> 47[label="",style="dashed", color="red", weight=0];
213[label="xx300 == xx400\n  Eq a",fontsize=16,color="magenta"];213 -> 370[label="",style="dashed", color="magenta", weight=3];
213 -> 371[label="",style="dashed", color="magenta", weight=3];
214 -> 48[label="",style="dashed", color="red", weight=0];
214[label="xx300 == xx400",fontsize=16,color="magenta"];214 -> 372[label="",style="dashed", color="magenta", weight=3];
214 -> 373[label="",style="dashed", color="magenta", weight=3];
215 -> 49[label="",style="dashed", color="red", weight=0];
215[label="xx300 == xx400\n  Eq a  Eq b",fontsize=16,color="magenta"];215 -> 374[label="",style="dashed", color="magenta", weight=3];
215 -> 375[label="",style="dashed", color="magenta", weight=3];
216[label="xx400",fontsize=16,color="green",shape="box"];217[label="xx300",fontsize=16,color="green",shape="box"];230[label="xx300 == xx400\n  Eq a",fontsize=16,color="blue",shape="box"];925[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 925[label="",style="solid", color="blue", weight=9];
925 -> 376[label="",style="solid", color="blue", weight=3];
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926 -> 377[label="",style="solid", color="blue", weight=3];
927[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 927[label="",style="solid", color="blue", weight=9];
927 -> 378[label="",style="solid", color="blue", weight=3];
928[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 928[label="",style="solid", color="blue", weight=9];
928 -> 379[label="",style="solid", color="blue", weight=3];
929[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 929[label="",style="solid", color="blue", weight=9];
929 -> 380[label="",style="solid", color="blue", weight=3];
930[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 930[label="",style="solid", color="blue", weight=9];
930 -> 381[label="",style="solid", color="blue", weight=3];
931[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 931[label="",style="solid", color="blue", weight=9];
931 -> 382[label="",style="solid", color="blue", weight=3];
932[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 932[label="",style="solid", color="blue", weight=9];
932 -> 383[label="",style="solid", color="blue", weight=3];
933[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 933[label="",style="solid", color="blue", weight=9];
933 -> 384[label="",style="solid", color="blue", weight=3];
934[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 934[label="",style="solid", color="blue", weight=9];
934 -> 385[label="",style="solid", color="blue", weight=3];
935[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 935[label="",style="solid", color="blue", weight=9];
935 -> 386[label="",style="solid", color="blue", weight=3];
936[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 936[label="",style="solid", color="blue", weight=9];
936 -> 387[label="",style="solid", color="blue", weight=3];
937[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 937[label="",style="solid", color="blue", weight=9];
937 -> 388[label="",style="solid", color="blue", weight=3];
938[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 938[label="",style="solid", color="blue", weight=9];
938 -> 389[label="",style="solid", color="blue", weight=3];
231[label="xx301 == xx401\n  Eq a",fontsize=16,color="blue",shape="box"];939[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 939[label="",style="solid", color="blue", weight=9];
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940[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 940[label="",style="solid", color="blue", weight=9];
940 -> 391[label="",style="solid", color="blue", weight=3];
941[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 941[label="",style="solid", color="blue", weight=9];
941 -> 392[label="",style="solid", color="blue", weight=3];
942[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 942[label="",style="solid", color="blue", weight=9];
942 -> 393[label="",style="solid", color="blue", weight=3];
943[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 943[label="",style="solid", color="blue", weight=9];
943 -> 394[label="",style="solid", color="blue", weight=3];
944[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 944[label="",style="solid", color="blue", weight=9];
944 -> 395[label="",style="solid", color="blue", weight=3];
945[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 945[label="",style="solid", color="blue", weight=9];
945 -> 396[label="",style="solid", color="blue", weight=3];
946[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 946[label="",style="solid", color="blue", weight=9];
946 -> 397[label="",style="solid", color="blue", weight=3];
947[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 947[label="",style="solid", color="blue", weight=9];
947 -> 398[label="",style="solid", color="blue", weight=3];
948[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 948[label="",style="solid", color="blue", weight=9];
948 -> 399[label="",style="solid", color="blue", weight=3];
949[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 949[label="",style="solid", color="blue", weight=9];
949 -> 400[label="",style="solid", color="blue", weight=3];
950[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 950[label="",style="solid", color="blue", weight=9];
950 -> 401[label="",style="solid", color="blue", weight=3];
951[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 951[label="",style="solid", color="blue", weight=9];
951 -> 402[label="",style="solid", color="blue", weight=3];
952[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];231 -> 952[label="",style="solid", color="blue", weight=9];
952 -> 403[label="",style="solid", color="blue", weight=3];
218 -> 35[label="",style="dashed", color="red", weight=0];
218[label="[] ++ xx14\n  Eq a",fontsize=16,color="magenta"];218 -> 404[label="",style="dashed", color="magenta", weight=3];
219[label="primEqNat (Succ xx3000) xx400",fontsize=16,color="burlywood",shape="box"];954[label="xx400/Succ xx4000",fontsize=10,color="white",style="solid",shape="box"];219 -> 954[label="",style="solid", color="burlywood", weight=9];
954 -> 405[label="",style="solid", color="burlywood", weight=3];
955[label="xx400/Zero",fontsize=10,color="white",style="solid",shape="box"];219 -> 955[label="",style="solid", color="burlywood", weight=9];
955 -> 406[label="",style="solid", color="burlywood", weight=3];
220[label="primEqNat Zero xx400",fontsize=16,color="burlywood",shape="box"];956[label="xx400/Succ xx4000",fontsize=10,color="white",style="solid",shape="box"];220 -> 956[label="",style="solid", color="burlywood", weight=9];
956 -> 407[label="",style="solid", color="burlywood", weight=3];
957[label="xx400/Zero",fontsize=10,color="white",style="solid",shape="box"];220 -> 957[label="",style="solid", color="burlywood", weight=9];
957 -> 408[label="",style="solid", color="burlywood", weight=3];
236 -> 36[label="",style="dashed", color="red", weight=0];
236[label="xx300 == xx400",fontsize=16,color="magenta"];236 -> 409[label="",style="dashed", color="magenta", weight=3];
236 -> 410[label="",style="dashed", color="magenta", weight=3];
237 -> 37[label="",style="dashed", color="red", weight=0];
237[label="xx300 == xx400\n  Eq a",fontsize=16,color="magenta"];237 -> 411[label="",style="dashed", color="magenta", weight=3];
237 -> 412[label="",style="dashed", color="magenta", weight=3];
238 -> 38[label="",style="dashed", color="red", weight=0];
238[label="xx300 == xx400",fontsize=16,color="magenta"];238 -> 413[label="",style="dashed", color="magenta", weight=3];
238 -> 414[label="",style="dashed", color="magenta", weight=3];
239 -> 39[label="",style="dashed", color="red", weight=0];
239[label="xx300 == xx400\n  Integral a",fontsize=16,color="magenta"];239 -> 415[label="",style="dashed", color="magenta", weight=3];
239 -> 416[label="",style="dashed", color="magenta", weight=3];
240 -> 40[label="",style="dashed", color="red", weight=0];
240[label="xx300 == xx400",fontsize=16,color="magenta"];240 -> 417[label="",style="dashed", color="magenta", weight=3];
240 -> 418[label="",style="dashed", color="magenta", weight=3];
241 -> 41[label="",style="dashed", color="red", weight=0];
241[label="xx300 == xx400\n  Eq a  Eq b",fontsize=16,color="magenta"];241 -> 419[label="",style="dashed", color="magenta", weight=3];
241 -> 420[label="",style="dashed", color="magenta", weight=3];
242 -> 42[label="",style="dashed", color="red", weight=0];
242[label="xx300 == xx400",fontsize=16,color="magenta"];242 -> 421[label="",style="dashed", color="magenta", weight=3];
242 -> 422[label="",style="dashed", color="magenta", weight=3];
243 -> 43[label="",style="dashed", color="red", weight=0];
243[label="xx300 == xx400",fontsize=16,color="magenta"];243 -> 423[label="",style="dashed", color="magenta", weight=3];
243 -> 424[label="",style="dashed", color="magenta", weight=3];
244 -> 44[label="",style="dashed", color="red", weight=0];
244[label="xx300 == xx400\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];244 -> 425[label="",style="dashed", color="magenta", weight=3];
244 -> 426[label="",style="dashed", color="magenta", weight=3];
245 -> 45[label="",style="dashed", color="red", weight=0];
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245 -> 428[label="",style="dashed", color="magenta", weight=3];
246 -> 46[label="",style="dashed", color="red", weight=0];
246[label="xx300 == xx400",fontsize=16,color="magenta"];246 -> 429[label="",style="dashed", color="magenta", weight=3];
246 -> 430[label="",style="dashed", color="magenta", weight=3];
247 -> 47[label="",style="dashed", color="red", weight=0];
247[label="xx300 == xx400\n  Eq a",fontsize=16,color="magenta"];247 -> 431[label="",style="dashed", color="magenta", weight=3];
247 -> 432[label="",style="dashed", color="magenta", weight=3];
248 -> 48[label="",style="dashed", color="red", weight=0];
248[label="xx300 == xx400",fontsize=16,color="magenta"];248 -> 433[label="",style="dashed", color="magenta", weight=3];
248 -> 434[label="",style="dashed", color="magenta", weight=3];
249 -> 49[label="",style="dashed", color="red", weight=0];
249[label="xx300 == xx400\n  Eq a  Eq b",fontsize=16,color="magenta"];249 -> 435[label="",style="dashed", color="magenta", weight=3];
249 -> 436[label="",style="dashed", color="magenta", weight=3];
250[label="xx401\n  Eq a",fontsize=16,color="green",shape="box"];251[label="xx301\n  Eq a",fontsize=16,color="green",shape="box"];252[label="False && xx20",fontsize=16,color="black",shape="box"];252 -> 437[label="",style="solid", color="black", weight=3];
253[label="True && xx20",fontsize=16,color="black",shape="box"];253 -> 438[label="",style="solid", color="black", weight=3];
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256 -> 45[label="",style="dashed", color="red", weight=0];
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257 -> 48[label="",style="dashed", color="red", weight=0];
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258 -> 45[label="",style="dashed", color="red", weight=0];
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1085 -> 649[label="",style="solid", color="burlywood", weight=3];
584[label="xx401",fontsize=16,color="green",shape="box"];585[label="xx301",fontsize=16,color="green",shape="box"];586[label="xx401\n  Eq a",fontsize=16,color="green",shape="box"];587[label="xx301\n  Eq a",fontsize=16,color="green",shape="box"];588[label="xx401",fontsize=16,color="green",shape="box"];589[label="xx301",fontsize=16,color="green",shape="box"];590[label="xx401\n  Integral a",fontsize=16,color="green",shape="box"];591[label="xx301\n  Integral a",fontsize=16,color="green",shape="box"];592[label="xx401",fontsize=16,color="green",shape="box"];593[label="xx301",fontsize=16,color="green",shape="box"];594[label="xx401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];595[label="xx301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];596[label="xx401",fontsize=16,color="green",shape="box"];597[label="xx301",fontsize=16,color="green",shape="box"];598[label="xx401",fontsize=16,color="green",shape="box"];599[label="xx301",fontsize=16,color="green",shape="box"];600[label="xx401\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];601[label="xx301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];602[label="xx401",fontsize=16,color="green",shape="box"];603[label="xx301",fontsize=16,color="green",shape="box"];604[label="xx401",fontsize=16,color="green",shape="box"];605[label="xx301",fontsize=16,color="green",shape="box"];606[label="xx401\n  Eq a",fontsize=16,color="green",shape="box"];607[label="xx301\n  Eq a",fontsize=16,color="green",shape="box"];608[label="xx401",fontsize=16,color="green",shape="box"];609[label="xx301",fontsize=16,color="green",shape="box"];610[label="xx401\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];611[label="xx301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];612[label="xx402",fontsize=16,color="green",shape="box"];613[label="xx302",fontsize=16,color="green",shape="box"];614[label="xx402\n  Eq a",fontsize=16,color="green",shape="box"];615[label="xx302\n  Eq a",fontsize=16,color="green",shape="box"];616[label="xx402",fontsize=16,color="green",shape="box"];617[label="xx302",fontsize=16,color="green",shape="box"];618[label="xx402\n  Integral a",fontsize=16,color="green",shape="box"];619[label="xx302\n  Integral a",fontsize=16,color="green",shape="box"];620[label="xx402",fontsize=16,color="green",shape="box"];621[label="xx302",fontsize=16,color="green",shape="box"];622[label="xx402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];623[label="xx302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];624[label="xx402",fontsize=16,color="green",shape="box"];625[label="xx302",fontsize=16,color="green",shape="box"];626[label="xx402",fontsize=16,color="green",shape="box"];627[label="xx302",fontsize=16,color="green",shape="box"];628[label="xx402\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];629[label="xx302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];630[label="xx402",fontsize=16,color="green",shape="box"];631[label="xx302",fontsize=16,color="green",shape="box"];632[label="xx402",fontsize=16,color="green",shape="box"];633[label="xx302",fontsize=16,color="green",shape="box"];634[label="xx402\n  Eq a",fontsize=16,color="green",shape="box"];635[label="xx302\n  Eq a",fontsize=16,color="green",shape="box"];636[label="xx402",fontsize=16,color="green",shape="box"];637[label="xx302",fontsize=16,color="green",shape="box"];638[label="xx402\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];639[label="xx302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];640[label="xx4000",fontsize=16,color="green",shape="box"];641[label="xx3000",fontsize=16,color="green",shape="box"];642[label="xx4000",fontsize=16,color="green",shape="box"];643[label="xx3000",fontsize=16,color="green",shape="box"];644[label="xx4000",fontsize=16,color="green",shape="box"];645[label="xx3000",fontsize=16,color="green",shape="box"];646[label="primMulInt (Pos xx3010) (Pos xx4010)",fontsize=16,color="black",shape="box"];646 -> 650[label="",style="solid", color="black", weight=3];
647[label="primMulInt (Pos xx3010) (Neg xx4010)",fontsize=16,color="black",shape="box"];647 -> 651[label="",style="solid", color="black", weight=3];
648[label="primMulInt (Neg xx3010) (Pos xx4010)",fontsize=16,color="black",shape="box"];648 -> 652[label="",style="solid", color="black", weight=3];
649[label="primMulInt (Neg xx3010) (Neg xx4010)",fontsize=16,color="black",shape="box"];649 -> 653[label="",style="solid", color="black", weight=3];
650[label="Pos (primMulNat xx3010 xx4010)",fontsize=16,color="green",shape="box"];650 -> 654[label="",style="dashed", color="green", weight=3];
651[label="Neg (primMulNat xx3010 xx4010)",fontsize=16,color="green",shape="box"];651 -> 655[label="",style="dashed", color="green", weight=3];
652[label="Neg (primMulNat xx3010 xx4010)",fontsize=16,color="green",shape="box"];652 -> 656[label="",style="dashed", color="green", weight=3];
653[label="Pos (primMulNat xx3010 xx4010)",fontsize=16,color="green",shape="box"];653 -> 657[label="",style="dashed", color="green", weight=3];
654[label="primMulNat xx3010 xx4010",fontsize=16,color="burlywood",shape="triangle"];1086[label="xx3010/Succ xx30100",fontsize=10,color="white",style="solid",shape="box"];654 -> 1086[label="",style="solid", color="burlywood", weight=9];
1086 -> 658[label="",style="solid", color="burlywood", weight=3];
1087[label="xx3010/Zero",fontsize=10,color="white",style="solid",shape="box"];654 -> 1087[label="",style="solid", color="burlywood", weight=9];
1087 -> 659[label="",style="solid", color="burlywood", weight=3];
655 -> 654[label="",style="dashed", color="red", weight=0];
655[label="primMulNat xx3010 xx4010",fontsize=16,color="magenta"];655 -> 660[label="",style="dashed", color="magenta", weight=3];
656 -> 654[label="",style="dashed", color="red", weight=0];
656[label="primMulNat xx3010 xx4010",fontsize=16,color="magenta"];656 -> 661[label="",style="dashed", color="magenta", weight=3];
657 -> 654[label="",style="dashed", color="red", weight=0];
657[label="primMulNat xx3010 xx4010",fontsize=16,color="magenta"];657 -> 662[label="",style="dashed", color="magenta", weight=3];
657 -> 663[label="",style="dashed", color="magenta", weight=3];
658[label="primMulNat (Succ xx30100) xx4010",fontsize=16,color="burlywood",shape="box"];1091[label="xx4010/Succ xx40100",fontsize=10,color="white",style="solid",shape="box"];658 -> 1091[label="",style="solid", color="burlywood", weight=9];
1091 -> 664[label="",style="solid", color="burlywood", weight=3];
1092[label="xx4010/Zero",fontsize=10,color="white",style="solid",shape="box"];658 -> 1092[label="",style="solid", color="burlywood", weight=9];
1092 -> 665[label="",style="solid", color="burlywood", weight=3];
659[label="primMulNat Zero xx4010",fontsize=16,color="burlywood",shape="box"];1093[label="xx4010/Succ xx40100",fontsize=10,color="white",style="solid",shape="box"];659 -> 1093[label="",style="solid", color="burlywood", weight=9];
1093 -> 666[label="",style="solid", color="burlywood", weight=3];
1094[label="xx4010/Zero",fontsize=10,color="white",style="solid",shape="box"];659 -> 1094[label="",style="solid", color="burlywood", weight=9];
1094 -> 667[label="",style="solid", color="burlywood", weight=3];
660[label="xx4010",fontsize=16,color="green",shape="box"];661[label="xx3010",fontsize=16,color="green",shape="box"];662[label="xx4010",fontsize=16,color="green",shape="box"];663[label="xx3010",fontsize=16,color="green",shape="box"];664[label="primMulNat (Succ xx30100) (Succ xx40100)",fontsize=16,color="black",shape="box"];664 -> 668[label="",style="solid", color="black", weight=3];
665[label="primMulNat (Succ xx30100) Zero",fontsize=16,color="black",shape="box"];665 -> 669[label="",style="solid", color="black", weight=3];
666[label="primMulNat Zero (Succ xx40100)",fontsize=16,color="black",shape="box"];666 -> 670[label="",style="solid", color="black", weight=3];
667[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];667 -> 671[label="",style="solid", color="black", weight=3];
668 -> 672[label="",style="dashed", color="red", weight=0];
668[label="primPlusNat (primMulNat xx30100 (Succ xx40100)) (Succ xx40100)",fontsize=16,color="magenta"];668 -> 673[label="",style="dashed", color="magenta", weight=3];
669[label="Zero",fontsize=16,color="green",shape="box"];670[label="Zero",fontsize=16,color="green",shape="box"];671[label="Zero",fontsize=16,color="green",shape="box"];673 -> 654[label="",style="dashed", color="red", weight=0];
673[label="primMulNat xx30100 (Succ xx40100)",fontsize=16,color="magenta"];673 -> 674[label="",style="dashed", color="magenta", weight=3];
673 -> 675[label="",style="dashed", color="magenta", weight=3];
672[label="primPlusNat xx21 (Succ xx40100)",fontsize=16,color="burlywood",shape="triangle"];1097[label="xx21/Succ xx210",fontsize=10,color="white",style="solid",shape="box"];672 -> 1097[label="",style="solid", color="burlywood", weight=9];
1097 -> 676[label="",style="solid", color="burlywood", weight=3];
1098[label="xx21/Zero",fontsize=10,color="white",style="solid",shape="box"];672 -> 1098[label="",style="solid", color="burlywood", weight=9];
1098 -> 677[label="",style="solid", color="burlywood", weight=3];
674[label="Succ xx40100",fontsize=16,color="green",shape="box"];675[label="xx30100",fontsize=16,color="green",shape="box"];676[label="primPlusNat (Succ xx210) (Succ xx40100)",fontsize=16,color="black",shape="box"];676 -> 678[label="",style="solid", color="black", weight=3];
677[label="primPlusNat Zero (Succ xx40100)",fontsize=16,color="black",shape="box"];677 -> 679[label="",style="solid", color="black", weight=3];
678[label="Succ (Succ (primPlusNat xx210 xx40100))",fontsize=16,color="green",shape="box"];678 -> 680[label="",style="dashed", color="green", weight=3];
679[label="Succ xx40100",fontsize=16,color="green",shape="box"];680[label="primPlusNat xx210 xx40100",fontsize=16,color="burlywood",shape="triangle"];1099[label="xx210/Succ xx2100",fontsize=10,color="white",style="solid",shape="box"];680 -> 1099[label="",style="solid", color="burlywood", weight=9];
1099 -> 681[label="",style="solid", color="burlywood", weight=3];
1100[label="xx210/Zero",fontsize=10,color="white",style="solid",shape="box"];680 -> 1100[label="",style="solid", color="burlywood", weight=9];
1100 -> 682[label="",style="solid", color="burlywood", weight=3];
681[label="primPlusNat (Succ xx2100) xx40100",fontsize=16,color="burlywood",shape="box"];1101[label="xx40100/Succ xx401000",fontsize=10,color="white",style="solid",shape="box"];681 -> 1101[label="",style="solid", color="burlywood", weight=9];
1101 -> 683[label="",style="solid", color="burlywood", weight=3];
1102[label="xx40100/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 1102[label="",style="solid", color="burlywood", weight=9];
1102 -> 684[label="",style="solid", color="burlywood", weight=3];
682[label="primPlusNat Zero xx40100",fontsize=16,color="burlywood",shape="box"];1103[label="xx40100/Succ xx401000",fontsize=10,color="white",style="solid",shape="box"];682 -> 1103[label="",style="solid", color="burlywood", weight=9];
1103 -> 685[label="",style="solid", color="burlywood", weight=3];
1104[label="xx40100/Zero",fontsize=10,color="white",style="solid",shape="box"];682 -> 1104[label="",style="solid", color="burlywood", weight=9];
1104 -> 686[label="",style="solid", color="burlywood", weight=3];
683[label="primPlusNat (Succ xx2100) (Succ xx401000)",fontsize=16,color="black",shape="box"];683 -> 687[label="",style="solid", color="black", weight=3];
684[label="primPlusNat (Succ xx2100) Zero",fontsize=16,color="black",shape="box"];684 -> 688[label="",style="solid", color="black", weight=3];
685[label="primPlusNat Zero (Succ xx401000)",fontsize=16,color="black",shape="box"];685 -> 689[label="",style="solid", color="black", weight=3];
686[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];686 -> 690[label="",style="solid", color="black", weight=3];
687[label="Succ (Succ (primPlusNat xx2100 xx401000))",fontsize=16,color="green",shape="box"];687 -> 691[label="",style="dashed", color="green", weight=3];
688[label="Succ xx2100",fontsize=16,color="green",shape="box"];689[label="Succ xx401000",fontsize=16,color="green",shape="box"];690[label="Zero",fontsize=16,color="green",shape="box"];691 -> 680[label="",style="dashed", color="red", weight=0];
691[label="primPlusNat xx2100 xx401000",fontsize=16,color="magenta"];691 -> 692[label="",style="dashed", color="magenta", weight=3];
691 -> 693[label="",style="dashed", color="magenta", weight=3];
692[label="xx2100",fontsize=16,color="green",shape="box"];693[label="xx401000",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primPlusNat(Succ(xx2100), Succ(xx401000)) → new_primPlusNat(xx2100, xx401000)

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(xx2100), Succ(xx401000)) → new_primPlusNat(xx2100, xx401000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primMulNat(Succ(xx30100), Succ(xx40100)) → new_primMulNat(xx30100, Succ(xx40100))

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

new_primMulNat(Succ(xx30100), Succ(xx40100)) → new_primMulNat(xx30100, Succ(xx40100))
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primEqNat(Succ(xx3000), Succ(xx4000)) → new_primEqNat(xx3000, xx4000)

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

new_primEqNat(Succ(xx3000), Succ(xx4000)) → new_primEqNat(xx3000, xx4000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

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

new_esEs2(Just(xx300), Just(xx400), app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(xx300, xx400, bbb, bbc, bbd)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(app(ty_@2, hd), he), fb) → new_esEs3(xx301, xx401, hd, he)
new_esEs0(Left(xx300), Left(xx400), app(ty_[], cc), cd) → new_esEs(xx300, xx400, cc)
new_esEs2(Just(xx300), Just(xx400), app(ty_[], bag)) → new_esEs(xx300, xx400, bag)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(app(app(ty_@3, gh), ha), hb), fb) → new_esEs1(xx301, xx401, gh, ha, hb)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(ty_Maybe, bea)) → new_esEs2(xx301, xx401, bea)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(ty_[], bbh), bca) → new_esEs(xx300, xx400, bbh)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(app(app(ty_@3, baa), bab), bac)) → new_esEs1(xx302, xx402, baa, bab, bac)
new_esEs2(Just(xx300), Just(xx400), app(ty_Maybe, bbe)) → new_esEs2(xx300, xx400, bbe)
new_esEs0(Left(xx300), Left(xx400), app(app(ty_Either, ce), cf), cd) → new_esEs0(xx300, xx400, ce, cf)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(app(app(ty_@3, bcd), bce), bcf), bca) → new_esEs1(xx300, xx400, bcd, bce, bcf)
new_esEs(:(xx300, xx301), :(xx400, xx401), app(ty_Maybe, bg)) → new_esEs2(xx300, xx400, bg)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(app(ty_Either, bdd), bde)) → new_esEs0(xx301, xx401, bdd, bde)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(ty_[], bdc)) → new_esEs(xx301, xx401, bdc)
new_esEs0(Right(xx300), Right(xx400), df, app(app(ty_Either, dh), ea)) → new_esEs0(xx300, xx400, dh, ea)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(app(ty_@2, beb), bec)) → new_esEs3(xx301, xx401, beb, bec)
new_esEs0(Left(xx300), Left(xx400), app(ty_Maybe, dc), cd) → new_esEs2(xx300, xx400, dc)
new_esEs0(Right(xx300), Right(xx400), df, app(ty_Maybe, ee)) → new_esEs2(xx300, xx400, ee)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(app(app(ty_@3, ff), fg), fh), fa, fb) → new_esEs1(xx300, xx400, ff, fg, fh)
new_esEs(:(xx300, xx301), :(xx400, xx401), app(app(ty_Either, bb), bc)) → new_esEs0(xx300, xx400, bb, bc)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(ty_Maybe, bcg), bca) → new_esEs2(xx300, xx400, bcg)
new_esEs(:(xx300, xx301), :(xx400, xx401), cb) → new_esEs(xx301, xx401, cb)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(app(ty_Either, fc), fd), fa, fb) → new_esEs0(xx300, xx400, fc, fd)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(ty_Maybe, hc), fb) → new_esEs2(xx301, xx401, hc)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(app(ty_@2, gb), gc), fa, fb) → new_esEs3(xx300, xx400, gb, gc)
new_esEs(:(xx300, xx301), :(xx400, xx401), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(xx300, xx400, bd, be, bf)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(app(ty_Either, gf), gg), fb) → new_esEs0(xx301, xx401, gf, gg)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(app(ty_Either, hg), hh)) → new_esEs0(xx302, xx402, hg, hh)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(ty_[], eh), fa, fb) → new_esEs(xx300, xx400, eh)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(ty_Maybe, bad)) → new_esEs2(xx302, xx402, bad)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(app(ty_@2, bch), bda), bca) → new_esEs3(xx300, xx400, bch, bda)
new_esEs0(Right(xx300), Right(xx400), df, app(app(ty_@2, ef), eg)) → new_esEs3(xx300, xx400, ef, eg)
new_esEs0(Right(xx300), Right(xx400), df, app(ty_[], dg)) → new_esEs(xx300, xx400, dg)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(ty_Maybe, ga), fa, fb) → new_esEs2(xx300, xx400, ga)
new_esEs(:(xx300, xx301), :(xx400, xx401), app(app(ty_@2, bh), ca)) → new_esEs3(xx300, xx400, bh, ca)
new_esEs2(Just(xx300), Just(xx400), app(app(ty_@2, bbf), bbg)) → new_esEs3(xx300, xx400, bbf, bbg)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs1(xx301, xx401, bdf, bdg, bdh)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(app(ty_@2, bae), baf)) → new_esEs3(xx302, xx402, bae, baf)
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(app(ty_Either, bcb), bcc), bca) → new_esEs0(xx300, xx400, bcb, bcc)
new_esEs2(Just(xx300), Just(xx400), app(app(ty_Either, bah), bba)) → new_esEs0(xx300, xx400, bah, bba)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(ty_[], hf)) → new_esEs(xx302, xx402, hf)
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(ty_[], ge), fb) → new_esEs(xx301, xx401, ge)
new_esEs0(Left(xx300), Left(xx400), app(app(ty_@2, dd), de), cd) → new_esEs3(xx300, xx400, dd, de)
new_esEs(:(xx300, xx301), :(xx400, xx401), app(ty_[], ba)) → new_esEs(xx300, xx400, ba)
new_esEs0(Left(xx300), Left(xx400), app(app(app(ty_@3, cg), da), db), cd) → new_esEs1(xx300, xx400, cg, da, db)
new_esEs0(Right(xx300), Right(xx400), df, app(app(app(ty_@3, eb), ec), ed)) → new_esEs1(xx300, xx400, eb, ec, ed)

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

new_esEs(:(xx300, xx301), :(xx400, xx401), app(ty_Maybe, bg)) → new_esEs2(xx300, xx400, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(xx300, xx301), :(xx400, xx401), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(xx300, xx400, bd, be, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(xx300, xx301), :(xx400, xx401), app(app(ty_Either, bb), bc)) → new_esEs0(xx300, xx400, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(Just(xx300), Just(xx400), app(ty_Maybe, bbe)) → new_esEs2(xx300, xx400, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(Just(xx300), Just(xx400), app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(xx300, xx400, bbb, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(:(xx300, xx301), :(xx400, xx401), app(app(ty_@2, bh), ca)) → new_esEs3(xx300, xx400, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(Just(xx300), Just(xx400), app(app(ty_Either, bah), bba)) → new_esEs0(xx300, xx400, bah, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(Just(xx300), Just(xx400), app(app(ty_@2, bbf), bbg)) → new_esEs3(xx300, xx400, bbf, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(Just(xx300), Just(xx400), app(ty_[], bag)) → new_esEs(xx300, xx400, bag)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(ty_Maybe, hc), fb) → new_esEs2(xx301, xx401, hc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(ty_Maybe, bad)) → new_esEs2(xx302, xx402, bad)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(ty_Maybe, ga), fa, fb) → new_esEs2(xx300, xx400, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(app(app(ty_@3, gh), ha), hb), fb) → new_esEs1(xx301, xx401, gh, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(app(app(ty_@3, baa), bab), bac)) → new_esEs1(xx302, xx402, baa, bab, bac)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(app(app(ty_@3, ff), fg), fh), fa, fb) → new_esEs1(xx300, xx400, ff, fg, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(app(ty_Either, fc), fd), fa, fb) → new_esEs0(xx300, xx400, fc, fd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(app(ty_Either, gf), gg), fb) → new_esEs0(xx301, xx401, gf, gg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(app(ty_Either, hg), hh)) → new_esEs0(xx302, xx402, hg, hh)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(app(ty_@2, hd), he), fb) → new_esEs3(xx301, xx401, hd, he)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(app(ty_@2, gb), gc), fa, fb) → new_esEs3(xx300, xx400, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(app(ty_@2, bae), baf)) → new_esEs3(xx302, xx402, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), app(ty_[], eh), fa, fb) → new_esEs(xx300, xx400, eh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, fa, app(ty_[], hf)) → new_esEs(xx302, xx402, hf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), gd, app(ty_[], ge), fb) → new_esEs(xx301, xx401, ge)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(ty_Maybe, bea)) → new_esEs2(xx301, xx401, bea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(ty_Maybe, bcg), bca) → new_esEs2(xx300, xx400, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Left(xx300), Left(xx400), app(ty_Maybe, dc), cd) → new_esEs2(xx300, xx400, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Right(xx300), Right(xx400), df, app(ty_Maybe, ee)) → new_esEs2(xx300, xx400, ee)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(app(app(ty_@3, bcd), bce), bcf), bca) → new_esEs1(xx300, xx400, bcd, bce, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs1(xx301, xx401, bdf, bdg, bdh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(app(ty_Either, bdd), bde)) → new_esEs0(xx301, xx401, bdd, bde)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(app(ty_Either, bcb), bcc), bca) → new_esEs0(xx300, xx400, bcb, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(app(ty_@2, beb), bec)) → new_esEs3(xx301, xx401, beb, bec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(app(ty_@2, bch), bda), bca) → new_esEs3(xx300, xx400, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), app(ty_[], bbh), bca) → new_esEs(xx300, xx400, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(@2(xx300, xx301), @2(xx400, xx401), bdb, app(ty_[], bdc)) → new_esEs(xx301, xx401, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(Left(xx300), Left(xx400), app(app(app(ty_@3, cg), da), db), cd) → new_esEs1(xx300, xx400, cg, da, db)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(Right(xx300), Right(xx400), df, app(app(app(ty_@3, eb), ec), ed)) → new_esEs1(xx300, xx400, eb, ec, ed)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs(:(xx300, xx301), :(xx400, xx401), cb) → new_esEs(xx301, xx401, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs(:(xx300, xx301), :(xx400, xx401), app(ty_[], ba)) → new_esEs(xx300, xx400, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Left(xx300), Left(xx400), app(app(ty_Either, ce), cf), cd) → new_esEs0(xx300, xx400, ce, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Right(xx300), Right(xx400), df, app(app(ty_Either, dh), ea)) → new_esEs0(xx300, xx400, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs0(Right(xx300), Right(xx400), df, app(app(ty_@2, ef), eg)) → new_esEs3(xx300, xx400, ef, eg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs0(Left(xx300), Left(xx400), app(app(ty_@2, dd), de), cd) → new_esEs3(xx300, xx400, dd, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Left(xx300), Left(xx400), app(ty_[], cc), cd) → new_esEs(xx300, xx400, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Right(xx300), Right(xx400), df, app(ty_[], dg)) → new_esEs(xx300, xx400, dg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

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

new_psPs0(xx30, :(xx40, xx41), xx5, bb) → new_psPs(xx30, new_esEs4(xx30, xx40, bb), xx41, xx5, bb)
new_psPs(xx11, False, xx13, xx14, ba) → new_psPs0(xx11, xx13, xx14, ba)

The TRS R consists of the following rules:

new_esEs13(Left(xx300), Left(xx400), ty_Ordering, cf) → new_esEs14(xx300, xx400)
new_esEs13(Right(xx300), Right(xx400), eb, app(ty_Maybe, fb)) → new_esEs17(xx300, xx400, fb)
new_esEs15(@3(xx300, xx301, xx302), @3(xx400, xx401, xx402), bae, baf, bag) → new_asAs(new_esEs24(xx300, xx400, bae), new_asAs(new_esEs25(xx301, xx401, baf), new_esEs26(xx302, xx402, bag)))
new_primEqInt(Neg(Succ(xx3000)), Pos(xx400)) → False
new_primEqInt(Pos(Succ(xx3000)), Neg(xx400)) → False
new_esEs8(xx300, xx400, app(app(ty_Either, bf), bg)) → new_esEs13(xx300, xx400, bf, bg)
new_esEs25(xx301, xx401, app(ty_Ratio, bcc)) → new_esEs11(xx301, xx401, bcc)
new_esEs13(Left(xx300), Left(xx400), app(ty_Maybe, dg), cf) → new_esEs17(xx300, xx400, dg)
new_esEs8(xx300, xx400, app(app(app(ty_@3, bh), ca), cb)) → new_esEs15(xx300, xx400, bh, ca, cb)
new_esEs23(xx301, xx401, ty_Integer) → new_esEs18(xx301, xx401)
new_esEs26(xx302, xx402, ty_Float) → new_esEs10(xx302, xx402)
new_esEs24(xx300, xx400, ty_Char) → new_esEs9(xx300, xx400)
new_primEqInt(Neg(Zero), Pos(Succ(xx4000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xx4000))) → False
new_esEs23(xx301, xx401, app(ty_Maybe, bab)) → new_esEs17(xx301, xx401, bab)
new_esEs25(xx301, xx401, app(ty_Maybe, bda)) → new_esEs17(xx301, xx401, bda)
new_esEs24(xx300, xx400, app(ty_Maybe, bbg)) → new_esEs17(xx300, xx400, bbg)
new_esEs13(Left(xx300), Left(xx400), app(app(ty_Either, db), dc), cf) → new_esEs13(xx300, xx400, db, dc)
new_esEs23(xx301, xx401, app(app(ty_Either, he), hf)) → new_esEs13(xx301, xx401, he, hf)
new_esEs24(xx300, xx400, ty_Ordering) → new_esEs14(xx300, xx400)
new_esEs22(xx300, xx400, app(ty_[], ga)) → new_esEs7(xx300, xx400, ga)
new_primMulNat0(Zero, Zero) → Zero
new_esEs17(Just(xx300), Just(xx400), ty_@0) → new_esEs12(xx300, xx400)
new_esEs4(xx30, xx40, ty_Ordering) → new_esEs14(xx30, xx40)
new_esEs4(xx30, xx40, app(ty_[], bc)) → new_esEs7(xx30, xx40, bc)
new_esEs4(xx30, xx40, ty_Integer) → new_esEs18(xx30, xx40)
new_esEs24(xx300, xx400, ty_Integer) → new_esEs18(xx300, xx400)
new_esEs22(xx300, xx400, ty_Ordering) → new_esEs14(xx300, xx400)
new_esEs10(Float(xx300, xx301), Float(xx400, xx401)) → new_esEs6(new_sr(xx300, xx400), new_sr(xx301, xx401))
new_esEs22(xx300, xx400, ty_Char) → new_esEs9(xx300, xx400)
new_esEs4(xx30, xx40, app(ty_Ratio, ff)) → new_esEs11(xx30, xx40, ff)
new_esEs13(Left(xx300), Left(xx400), app(ty_[], cg), cf) → new_esEs7(xx300, xx400, cg)
new_esEs21(xx301, xx401, ty_Int) → new_esEs6(xx301, xx401)
new_esEs25(xx301, xx401, ty_Float) → new_esEs10(xx301, xx401)
new_esEs17(Just(xx300), Just(xx400), ty_Bool) → new_esEs5(xx300, xx400)
new_esEs25(xx301, xx401, ty_Double) → new_esEs16(xx301, xx401)
new_esEs20(xx300, xx400, ty_Int) → new_esEs6(xx300, xx400)
new_sr(Neg(xx3010), Pos(xx4010)) → Neg(new_primMulNat0(xx3010, xx4010))
new_sr(Pos(xx3010), Neg(xx4010)) → Neg(new_primMulNat0(xx3010, xx4010))
new_esEs13(Left(xx300), Left(xx400), ty_@0, cf) → new_esEs12(xx300, xx400)
new_esEs23(xx301, xx401, app(ty_Ratio, hd)) → new_esEs11(xx301, xx401, hd)
new_esEs25(xx301, xx401, app(app(app(ty_@3, bcf), bcg), bch)) → new_esEs15(xx301, xx401, bcf, bcg, bch)
new_esEs24(xx300, xx400, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs15(xx300, xx400, bbd, bbe, bbf)
new_esEs8(xx300, xx400, ty_Double) → new_esEs16(xx300, xx400)
new_esEs6(xx30, xx40) → new_primEqInt(xx30, xx40)
new_esEs13(Right(xx300), Right(xx400), eb, ty_@0) → new_esEs12(xx300, xx400)
new_esEs13(Left(xx300), Left(xx400), ty_Char, cf) → new_esEs9(xx300, xx400)
new_esEs13(Left(xx300), Left(xx400), app(app(app(ty_@3, dd), de), df), cf) → new_esEs15(xx300, xx400, dd, de, df)
new_esEs25(xx301, xx401, app(ty_[], bcb)) → new_esEs7(xx301, xx401, bcb)
new_esEs13(Right(xx300), Right(xx400), eb, ty_Integer) → new_esEs18(xx300, xx400)
new_esEs12(@0, @0) → True
new_esEs25(xx301, xx401, ty_Int) → new_esEs6(xx301, xx401)
new_esEs8(xx300, xx400, ty_Int) → new_esEs6(xx300, xx400)
new_esEs7([], [], bc) → True
new_esEs22(xx300, xx400, app(app(ty_Either, gc), gd)) → new_esEs13(xx300, xx400, gc, gd)
new_esEs8(xx300, xx400, ty_Bool) → new_esEs5(xx300, xx400)
new_esEs23(xx301, xx401, app(ty_[], hc)) → new_esEs7(xx301, xx401, hc)
new_esEs4(xx30, xx40, app(ty_Maybe, bef)) → new_esEs17(xx30, xx40, bef)
new_primEqNat0(Zero, Succ(xx4000)) → False
new_primEqNat0(Succ(xx3000), Zero) → False
new_primPlusNat0(Zero, Zero) → Zero
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs13(Left(xx300), Left(xx400), ty_Integer, cf) → new_esEs18(xx300, xx400)
new_esEs17(Just(xx300), Just(xx400), app(ty_[], beg)) → new_esEs7(xx300, xx400, beg)
new_esEs26(xx302, xx402, ty_Ordering) → new_esEs14(xx302, xx402)
new_esEs13(Right(xx300), Right(xx400), eb, ty_Char) → new_esEs9(xx300, xx400)
new_primPlusNat1(Succ(xx210), xx40100) → Succ(Succ(new_primPlusNat0(xx210, xx40100)))
new_esEs23(xx301, xx401, ty_Int) → new_esEs6(xx301, xx401)
new_esEs17(Just(xx300), Just(xx400), ty_Int) → new_esEs6(xx300, xx400)
new_esEs17(Just(xx300), Just(xx400), ty_Float) → new_esEs10(xx300, xx400)
new_esEs7([], :(xx400, xx401), bc) → False
new_esEs7(:(xx300, xx301), [], bc) → False
new_esEs14(EQ, EQ) → True
new_esEs4(xx30, xx40, ty_Char) → new_esEs9(xx30, xx40)
new_esEs14(EQ, LT) → False
new_esEs14(LT, EQ) → False
new_esEs13(Left(xx300), Left(xx400), ty_Float, cf) → new_esEs10(xx300, xx400)
new_esEs4(xx30, xx40, app(app(app(ty_@3, bae), baf), bag)) → new_esEs15(xx30, xx40, bae, baf, bag)
new_esEs26(xx302, xx402, ty_Bool) → new_esEs5(xx302, xx402)
new_esEs13(Right(xx300), Right(xx400), eb, ty_Int) → new_esEs6(xx300, xx400)
new_esEs13(Left(xx300), Left(xx400), ty_Int, cf) → new_esEs6(xx300, xx400)
new_esEs22(xx300, xx400, app(app(ty_@2, ha), hb)) → new_esEs19(xx300, xx400, ha, hb)
new_esEs22(xx300, xx400, ty_@0) → new_esEs12(xx300, xx400)
new_esEs23(xx301, xx401, ty_Bool) → new_esEs5(xx301, xx401)
new_esEs13(Left(xx300), Left(xx400), ty_Bool, cf) → new_esEs5(xx300, xx400)
new_esEs26(xx302, xx402, ty_Int) → new_esEs6(xx302, xx402)
new_esEs26(xx302, xx402, app(ty_[], bdd)) → new_esEs7(xx302, xx402, bdd)
new_esEs25(xx301, xx401, ty_@0) → new_esEs12(xx301, xx401)
new_esEs22(xx300, xx400, app(app(app(ty_@3, ge), gf), gg)) → new_esEs15(xx300, xx400, ge, gf, gg)
new_esEs17(Just(xx300), Just(xx400), ty_Double) → new_esEs16(xx300, xx400)
new_esEs14(GT, EQ) → False
new_esEs14(EQ, GT) → False
new_esEs11(:%(xx300, xx301), :%(xx400, xx401), ff) → new_asAs(new_esEs20(xx300, xx400, ff), new_esEs21(xx301, xx401, ff))
new_sr(Neg(xx3010), Neg(xx4010)) → Pos(new_primMulNat0(xx3010, xx4010))
new_esEs13(Right(xx300), Right(xx400), eb, app(app(ty_@2, fc), fd)) → new_esEs19(xx300, xx400, fc, fd)
new_asAs(False, xx20) → False
new_sr(Pos(xx3010), Pos(xx4010)) → Pos(new_primMulNat0(xx3010, xx4010))
new_primEqNat0(Zero, Zero) → True
new_esEs24(xx300, xx400, ty_Int) → new_esEs6(xx300, xx400)
new_esEs23(xx301, xx401, ty_Ordering) → new_esEs14(xx301, xx401)
new_primMulNat0(Zero, Succ(xx40100)) → Zero
new_primMulNat0(Succ(xx30100), Zero) → Zero
new_esEs22(xx300, xx400, ty_Integer) → new_esEs18(xx300, xx400)
new_esEs17(Just(xx300), Just(xx400), app(app(ty_@2, bfg), bfh)) → new_esEs19(xx300, xx400, bfg, bfh)
new_primMulNat0(Succ(xx30100), Succ(xx40100)) → new_primPlusNat1(new_primMulNat0(xx30100, Succ(xx40100)), xx40100)
new_esEs24(xx300, xx400, ty_Float) → new_esEs10(xx300, xx400)
new_esEs25(xx301, xx401, ty_Bool) → new_esEs5(xx301, xx401)
new_esEs18(Integer(xx300), Integer(xx400)) → new_primEqInt(xx300, xx400)
new_esEs5(False, False) → True
new_esEs25(xx301, xx401, ty_Integer) → new_esEs18(xx301, xx401)
new_esEs5(True, False) → False
new_esEs5(False, True) → False
new_esEs16(Double(xx300, xx301), Double(xx400, xx401)) → new_esEs6(new_sr(xx300, xx400), new_sr(xx301, xx401))
new_esEs26(xx302, xx402, app(ty_Maybe, bec)) → new_esEs17(xx302, xx402, bec)
new_esEs8(xx300, xx400, app(ty_Ratio, be)) → new_esEs11(xx300, xx400, be)
new_esEs4(xx30, xx40, ty_Int) → new_esEs6(xx30, xx40)
new_esEs24(xx300, xx400, ty_Double) → new_esEs16(xx300, xx400)
new_esEs22(xx300, xx400, app(ty_Maybe, gh)) → new_esEs17(xx300, xx400, gh)
new_esEs14(GT, LT) → False
new_esEs14(LT, GT) → False
new_esEs8(xx300, xx400, app(ty_[], bd)) → new_esEs7(xx300, xx400, bd)
new_esEs23(xx301, xx401, ty_Char) → new_esEs9(xx301, xx401)
new_esEs4(xx30, xx40, ty_@0) → new_esEs12(xx30, xx40)
new_esEs14(GT, GT) → True
new_esEs23(xx301, xx401, ty_Double) → new_esEs16(xx301, xx401)
new_esEs8(xx300, xx400, ty_Ordering) → new_esEs14(xx300, xx400)
new_esEs13(Left(xx300), Left(xx400), app(ty_Ratio, da), cf) → new_esEs11(xx300, xx400, da)
new_esEs8(xx300, xx400, ty_Float) → new_esEs10(xx300, xx400)
new_esEs17(Just(xx300), Just(xx400), ty_Integer) → new_esEs18(xx300, xx400)
new_esEs26(xx302, xx402, app(app(ty_@2, bed), bee)) → new_esEs19(xx302, xx402, bed, bee)
new_esEs23(xx301, xx401, ty_@0) → new_esEs12(xx301, xx401)
new_esEs17(Just(xx300), Just(xx400), ty_Ordering) → new_esEs14(xx300, xx400)
new_esEs4(xx30, xx40, ty_Bool) → new_esEs5(xx30, xx40)
new_esEs5(True, True) → True
new_esEs8(xx300, xx400, ty_@0) → new_esEs12(xx300, xx400)
new_primEqInt(Neg(Succ(xx3000)), Neg(Succ(xx4000))) → new_primEqNat0(xx3000, xx4000)
new_esEs24(xx300, xx400, app(ty_Ratio, bba)) → new_esEs11(xx300, xx400, bba)
new_esEs19(@2(xx300, xx301), @2(xx400, xx401), fg, fh) → new_asAs(new_esEs22(xx300, xx400, fg), new_esEs23(xx301, xx401, fh))
new_esEs13(Right(xx300), Left(xx400), eb, cf) → False
new_esEs13(Left(xx300), Right(xx400), eb, cf) → False
new_esEs13(Right(xx300), Right(xx400), eb, app(app(app(ty_@3, eg), eh), fa)) → new_esEs15(xx300, xx400, eg, eh, fa)
new_esEs13(Right(xx300), Right(xx400), eb, app(app(ty_Either, ee), ef)) → new_esEs13(xx300, xx400, ee, ef)
new_esEs22(xx300, xx400, ty_Bool) → new_esEs5(xx300, xx400)
new_esEs17(Just(xx300), Just(xx400), app(app(app(ty_@3, bfc), bfd), bfe)) → new_esEs15(xx300, xx400, bfc, bfd, bfe)
new_esEs17(Just(xx300), Just(xx400), ty_Char) → new_esEs9(xx300, xx400)
new_esEs23(xx301, xx401, app(app(app(ty_@3, hg), hh), baa)) → new_esEs15(xx301, xx401, hg, hh, baa)
new_esEs26(xx302, xx402, app(app(app(ty_@3, bdh), bea), beb)) → new_esEs15(xx302, xx402, bdh, bea, beb)
new_esEs26(xx302, xx402, ty_Integer) → new_esEs18(xx302, xx402)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs4(xx30, xx40, app(app(ty_Either, eb), cf)) → new_esEs13(xx30, xx40, eb, cf)
new_esEs17(Just(xx300), Just(xx400), app(app(ty_Either, bfa), bfb)) → new_esEs13(xx300, xx400, bfa, bfb)
new_esEs8(xx300, xx400, app(app(ty_@2, cd), ce)) → new_esEs19(xx300, xx400, cd, ce)
new_primEqInt(Neg(Zero), Neg(Succ(xx4000))) → False
new_primEqInt(Neg(Succ(xx3000)), Neg(Zero)) → False
new_esEs17(Nothing, Nothing, bef) → True
new_esEs24(xx300, xx400, app(app(ty_Either, bbb), bbc)) → new_esEs13(xx300, xx400, bbb, bbc)
new_esEs26(xx302, xx402, ty_Char) → new_esEs9(xx302, xx402)
new_esEs22(xx300, xx400, ty_Float) → new_esEs10(xx300, xx400)
new_primPlusNat1(Zero, xx40100) → Succ(xx40100)
new_esEs26(xx302, xx402, app(ty_Ratio, bde)) → new_esEs11(xx302, xx402, bde)
new_esEs22(xx300, xx400, ty_Double) → new_esEs16(xx300, xx400)
new_esEs9(Char(xx300), Char(xx400)) → new_primEqNat0(xx300, xx400)
new_primPlusNat0(Succ(xx2100), Succ(xx401000)) → Succ(Succ(new_primPlusNat0(xx2100, xx401000)))
new_esEs4(xx30, xx40, app(app(ty_@2, fg), fh)) → new_esEs19(xx30, xx40, fg, fh)
new_esEs21(xx301, xx401, ty_Integer) → new_esEs18(xx301, xx401)
new_asAs(True, xx20) → xx20
new_esEs7(:(xx300, xx301), :(xx400, xx401), bc) → new_asAs(new_esEs8(xx300, xx400, bc), new_esEs7(xx301, xx401, bc))
new_esEs23(xx301, xx401, ty_Float) → new_esEs10(xx301, xx401)
new_esEs14(LT, LT) → True
new_esEs25(xx301, xx401, app(app(ty_Either, bcd), bce)) → new_esEs13(xx301, xx401, bcd, bce)
new_esEs13(Left(xx300), Left(xx400), ty_Double, cf) → new_esEs16(xx300, xx400)
new_esEs13(Right(xx300), Right(xx400), eb, ty_Double) → new_esEs16(xx300, xx400)
new_primEqInt(Pos(Succ(xx3000)), Pos(Succ(xx4000))) → new_primEqNat0(xx3000, xx4000)
new_esEs20(xx300, xx400, ty_Integer) → new_esEs18(xx300, xx400)
new_esEs4(xx30, xx40, ty_Float) → new_esEs10(xx30, xx40)
new_esEs13(Left(xx300), Left(xx400), app(app(ty_@2, dh), ea), cf) → new_esEs19(xx300, xx400, dh, ea)
new_esEs17(Just(xx300), Just(xx400), app(ty_Ratio, beh)) → new_esEs11(xx300, xx400, beh)
new_esEs17(Just(xx300), Nothing, bef) → False
new_esEs17(Nothing, Just(xx400), bef) → False
new_esEs26(xx302, xx402, ty_Double) → new_esEs16(xx302, xx402)
new_esEs24(xx300, xx400, app(ty_[], bah)) → new_esEs7(xx300, xx400, bah)
new_esEs25(xx301, xx401, ty_Ordering) → new_esEs14(xx301, xx401)
new_esEs24(xx300, xx400, ty_Bool) → new_esEs5(xx300, xx400)
new_esEs8(xx300, xx400, ty_Integer) → new_esEs18(xx300, xx400)
new_primEqNat0(Succ(xx3000), Succ(xx4000)) → new_primEqNat0(xx3000, xx4000)
new_esEs23(xx301, xx401, app(app(ty_@2, bac), bad)) → new_esEs19(xx301, xx401, bac, bad)
new_esEs26(xx302, xx402, ty_@0) → new_esEs12(xx302, xx402)
new_esEs8(xx300, xx400, ty_Char) → new_esEs9(xx300, xx400)
new_esEs25(xx301, xx401, app(app(ty_@2, bdb), bdc)) → new_esEs19(xx301, xx401, bdb, bdc)
new_esEs22(xx300, xx400, ty_Int) → new_esEs6(xx300, xx400)
new_esEs17(Just(xx300), Just(xx400), app(ty_Maybe, bff)) → new_esEs17(xx300, xx400, bff)
new_esEs13(Right(xx300), Right(xx400), eb, app(ty_Ratio, ed)) → new_esEs11(xx300, xx400, ed)
new_esEs13(Right(xx300), Right(xx400), eb, app(ty_[], ec)) → new_esEs7(xx300, xx400, ec)
new_esEs13(Right(xx300), Right(xx400), eb, ty_Ordering) → new_esEs14(xx300, xx400)
new_esEs4(xx30, xx40, ty_Double) → new_esEs16(xx30, xx40)
new_esEs25(xx301, xx401, ty_Char) → new_esEs9(xx301, xx401)
new_primEqInt(Pos(Zero), Pos(Succ(xx4000))) → False
new_esEs22(xx300, xx400, app(ty_Ratio, gb)) → new_esEs11(xx300, xx400, gb)
new_primEqInt(Pos(Succ(xx3000)), Pos(Zero)) → False
new_esEs13(Right(xx300), Right(xx400), eb, ty_Float) → new_esEs10(xx300, xx400)
new_esEs24(xx300, xx400, app(app(ty_@2, bbh), bca)) → new_esEs19(xx300, xx400, bbh, bca)
new_esEs24(xx300, xx400, ty_@0) → new_esEs12(xx300, xx400)
new_esEs26(xx302, xx402, app(app(ty_Either, bdf), bdg)) → new_esEs13(xx302, xx402, bdf, bdg)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primPlusNat0(Succ(xx2100), Zero) → Succ(xx2100)
new_primPlusNat0(Zero, Succ(xx401000)) → Succ(xx401000)
new_esEs13(Right(xx300), Right(xx400), eb, ty_Bool) → new_esEs5(xx300, xx400)
new_esEs8(xx300, xx400, app(ty_Maybe, cc)) → new_esEs17(xx300, xx400, cc)

The set Q consists of the following terms:

new_esEs22(x0, x1, ty_Char)
new_esEs25(x0, x1, ty_@0)
new_esEs4(x0, x1, ty_Bool)
new_esEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs14(GT, EQ)
new_esEs14(EQ, GT)
new_esEs24(x0, x1, ty_Double)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs26(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primPlusNat0(Zero, Succ(x0))
new_esEs21(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_esEs26(x0, x1, ty_Char)
new_primPlusNat1(Zero, x0)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs25(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs17(Just(x0), Just(x1), ty_Float)
new_esEs8(x0, x1, ty_Int)
new_esEs23(x0, x1, ty_Int)
new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs8(x0, x1, ty_Integer)
new_primEqInt(Neg(Zero), Neg(Zero))
new_esEs17(Just(x0), Nothing, x1)
new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs13(Left(x0), Left(x1), ty_Double, x2)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7([], :(x0, x1), x2)
new_esEs23(x0, x1, ty_Bool)
new_esEs4(x0, x1, ty_Int)
new_esEs17(Just(x0), Just(x1), ty_@0)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_esEs17(Just(x0), Just(x1), ty_Int)
new_esEs22(x0, x1, ty_Float)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_esEs13(Left(x0), Right(x1), x2, x3)
new_esEs13(Right(x0), Left(x1), x2, x3)
new_esEs22(x0, x1, ty_@0)
new_esEs8(x0, x1, ty_Char)
new_esEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1)
new_esEs26(x0, x1, ty_@0)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_esEs5(False, True)
new_esEs5(True, False)
new_esEs13(Right(x0), Right(x1), x2, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_asAs(False, x0)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(x0, x1, ty_Ordering)
new_esEs26(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs26(x0, x1, ty_Int)
new_primEqNat0(Succ(x0), Zero)
new_esEs14(LT, GT)
new_esEs14(GT, LT)
new_esEs17(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Int)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(Char(x0), Char(x1))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs22(x0, x1, ty_Double)
new_esEs4(x0, x1, ty_Char)
new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs22(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_Bool)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Integer)
new_esEs5(True, True)
new_esEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primEqNat0(Zero, Zero)
new_esEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs4(x0, x1, ty_@0)
new_primMulNat0(Zero, Succ(x0))
new_esEs5(False, False)
new_esEs13(Right(x0), Right(x1), x2, ty_@0)
new_sr(Pos(x0), Pos(x1))
new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs8(x0, x1, ty_Bool)
new_esEs12(@0, @0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs7([], [], x0)
new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs23(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Char)
new_primMulNat0(Zero, Zero)
new_esEs20(x0, x1, ty_Int)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Double)
new_esEs26(x0, x1, ty_Ordering)
new_esEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs24(x0, x1, ty_Ordering)
new_esEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs16(Double(x0, x1), Double(x2, x3))
new_esEs24(x0, x1, ty_Char)
new_sr(Pos(x0), Neg(x1))
new_sr(Neg(x0), Pos(x1))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_primPlusNat1(Succ(x0), x1)
new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs22(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Ordering)
new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs18(Integer(x0), Integer(x1))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs22(x0, x1, app(ty_[], x2))
new_esEs4(x0, x1, ty_Double)
new_esEs4(x0, x1, app(ty_[], x2))
new_esEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs8(x0, x1, ty_Float)
new_esEs10(Float(x0, x1), Float(x2, x3))
new_esEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(x0, x1, ty_Double)
new_esEs14(EQ, LT)
new_esEs14(LT, EQ)
new_esEs23(x0, x1, ty_@0)
new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_primEqNat0(Succ(x0), Succ(x1))
new_sr(Neg(x0), Neg(x1))
new_esEs13(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Succ(x0), Zero)
new_esEs17(Just(x0), Just(x1), ty_Integer)
new_esEs26(x0, x1, ty_Double)
new_esEs14(GT, GT)
new_esEs13(Left(x0), Left(x1), ty_Bool, x2)
new_esEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, ty_Integer)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Float)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs24(x0, x1, ty_Int)
new_esEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs4(x0, x1, ty_Integer)
new_esEs8(x0, x1, ty_Ordering)
new_esEs8(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_primPlusNat0(Succ(x0), Succ(x1))
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, ty_@0)
new_esEs14(EQ, EQ)
new_esEs17(Just(x0), Just(x1), ty_Char)
new_primPlusNat0(Zero, Zero)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs7(:(x0, x1), [], x2)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs14(LT, LT)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs8(x0, x1, app(ty_[], x2))
new_esEs17(Nothing, Nothing, x0)
new_esEs23(x0, x1, ty_Char)
new_esEs17(Nothing, Just(x0), x1)
new_esEs7(:(x0, x1), :(x2, x3), x4)
new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primEqNat0(Zero, Succ(x0))
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Float)
new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_asAs(True, x0)
new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs17(Just(x0), Just(x1), ty_Double)
new_primMulNat0(Succ(x0), Zero)

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_psPs(xx11, False, xx13, xx14, ba) → new_psPs0(xx11, xx13, xx14, ba)
The graph contains the following edges 1 >= 1, 3 >= 2, 4 >= 3, 5 >= 4
new_psPs0(xx30, :(xx40, xx41), xx5, bb) → new_psPs(xx30, new_esEs4(xx30, xx40, bb), xx41, xx5, bb)
The graph contains the following edges 1 >= 1, 2 > 3, 3 >= 4, 4 >= 5

↳ HASKELL

  ↳ LR

    ↳ HASKELL

      ↳ CR

        ↳ HASKELL

          ↳ IFR

            ↳ HASKELL

              ↳ BR

                ↳ HASKELL

                  ↳ COR

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

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

new_foldr(xx4, :(xx30, xx31), ba) → new_foldr(xx4, xx31, ba)

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

new_foldr(xx4, :(xx30, xx31), ba) → new_foldr(xx4, xx31, ba)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3

intersectBy00	eq ys x	= if any (eq x) ys then x : [] else []
intersectBy00	eq ys _	= []