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

YES 1.676 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/empty.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule Main

((lookup :: Eq a => a -> [(a,b)] -> Maybe b) :: Eq a => a -> [(a,b)] -> Maybe b)

module Main where

import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule Main

((lookup :: Eq b => b -> [(b,a)] -> Maybe a) :: Eq b => b -> [(b,a)] -> Maybe a)

module Main where

import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

The following Function with conditions

lookup k [] = Nothing

lookup k ((x,y) : xys)

| k == x

= Just y

| otherwise

= lookup k xys

is transformed to

lookup k [] = lookup3 k []

lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys)

lookup0 k x y xys True = lookup k xys

lookup1 k x y xys True = Just y

lookup1 k x y xys False = lookup0 k x y xys otherwise

lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x)

lookup3 k [] = Nothing

lookup3 xy xz = lookup2 xy xz

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

mainModule Main

(lookup :: Eq a => a -> [(a,b)] -> Maybe b)

module Main where

import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="lookup\n  Eq a",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="lookup yu3\n  Eq a",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="lookup yu3 yu4\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];694[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 694[label="",style="solid", color="burlywood", weight=9];
694 -> 5[label="",style="solid", color="burlywood", weight=3];
695[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 695[label="",style="solid", color="burlywood", weight=9];
695 -> 6[label="",style="solid", color="burlywood", weight=3];
5[label="lookup yu3 (yu40 : yu41)\n  Eq a",fontsize=16,color="burlywood",shape="box"];696[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 696[label="",style="solid", color="burlywood", weight=9];
696 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="lookup yu3 []\n  Eq a",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="lookup yu3 ((yu400,yu401) : yu41)\n  Eq a",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="lookup3 yu3 []\n  Eq a",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="lookup2 yu3 ((yu400,yu401) : yu41)\n  Eq a",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10[label="Nothing",fontsize=16,color="green",shape="box"];11 -> 12[label="",style="dashed", color="red", weight=0];
11[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)\n  Eq a",fontsize=16,color="magenta"];11 -> 13[label="",style="dashed", color="magenta", weight=3];
11 -> 14[label="",style="dashed", color="magenta", weight=3];
11 -> 15[label="",style="dashed", color="magenta", weight=3];
11 -> 16[label="",style="dashed", color="magenta", weight=3];
11 -> 17[label="",style="dashed", color="magenta", weight=3];
13[label="yu401",fontsize=16,color="green",shape="box"];14[label="yu3\n  Eq a",fontsize=16,color="green",shape="box"];15[label="yu41\n  Eq a",fontsize=16,color="green",shape="box"];16[label="yu3 == yu400\n  Eq a",fontsize=16,color="blue",shape="box"];698[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 698[label="",style="solid", color="blue", weight=9];
698 -> 18[label="",style="solid", color="blue", weight=3];
699[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 699[label="",style="solid", color="blue", weight=9];
699 -> 19[label="",style="solid", color="blue", weight=3];
700[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 700[label="",style="solid", color="blue", weight=9];
700 -> 20[label="",style="solid", color="blue", weight=3];
701[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 701[label="",style="solid", color="blue", weight=9];
701 -> 21[label="",style="solid", color="blue", weight=3];
702[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 702[label="",style="solid", color="blue", weight=9];
702 -> 22[label="",style="solid", color="blue", weight=3];
703[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 703[label="",style="solid", color="blue", weight=9];
703 -> 23[label="",style="solid", color="blue", weight=3];
704[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 704[label="",style="solid", color="blue", weight=9];
704 -> 24[label="",style="solid", color="blue", weight=3];
705[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 705[label="",style="solid", color="blue", weight=9];
705 -> 25[label="",style="solid", color="blue", weight=3];
706[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 706[label="",style="solid", color="blue", weight=9];
706 -> 26[label="",style="solid", color="blue", weight=3];
707[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 707[label="",style="solid", color="blue", weight=9];
707 -> 27[label="",style="solid", color="blue", weight=3];
708[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 708[label="",style="solid", color="blue", weight=9];
708 -> 28[label="",style="solid", color="blue", weight=3];
709[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 709[label="",style="solid", color="blue", weight=9];
709 -> 29[label="",style="solid", color="blue", weight=3];
710[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 710[label="",style="solid", color="blue", weight=9];
710 -> 30[label="",style="solid", color="blue", weight=3];
711[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];16 -> 711[label="",style="solid", color="blue", weight=9];
711 -> 31[label="",style="solid", color="blue", weight=3];
17[label="yu400\n  Eq a",fontsize=16,color="green",shape="box"];12[label="lookup1 yu11 yu12 yu13 yu14 yu15\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];712[label="yu15/False",fontsize=10,color="white",style="solid",shape="box"];12 -> 712[label="",style="solid", color="burlywood", weight=9];
712 -> 32[label="",style="solid", color="burlywood", weight=3];
713[label="yu15/True",fontsize=10,color="white",style="solid",shape="box"];12 -> 713[label="",style="solid", color="burlywood", weight=9];
713 -> 33[label="",style="solid", color="burlywood", weight=3];
18[label="yu3 == yu400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];714[label="yu3/(yu30,yu31)",fontsize=10,color="white",style="solid",shape="box"];18 -> 714[label="",style="solid", color="burlywood", weight=9];
714 -> 34[label="",style="solid", color="burlywood", weight=3];
19[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];715[label="yu3/Integer yu30",fontsize=10,color="white",style="solid",shape="box"];19 -> 715[label="",style="solid", color="burlywood", weight=9];
715 -> 35[label="",style="solid", color="burlywood", weight=3];
20[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];716[label="yu3/()",fontsize=10,color="white",style="solid",shape="box"];20 -> 716[label="",style="solid", color="burlywood", weight=9];
716 -> 36[label="",style="solid", color="burlywood", weight=3];
21[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];717[label="yu3/LT",fontsize=10,color="white",style="solid",shape="box"];21 -> 717[label="",style="solid", color="burlywood", weight=9];
717 -> 37[label="",style="solid", color="burlywood", weight=3];
718[label="yu3/EQ",fontsize=10,color="white",style="solid",shape="box"];21 -> 718[label="",style="solid", color="burlywood", weight=9];
718 -> 38[label="",style="solid", color="burlywood", weight=3];
719[label="yu3/GT",fontsize=10,color="white",style="solid",shape="box"];21 -> 719[label="",style="solid", color="burlywood", weight=9];
719 -> 39[label="",style="solid", color="burlywood", weight=3];
22[label="yu3 == yu400\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];720[label="yu3/yu30 : yu31",fontsize=10,color="white",style="solid",shape="box"];22 -> 720[label="",style="solid", color="burlywood", weight=9];
720 -> 40[label="",style="solid", color="burlywood", weight=3];
721[label="yu3/[]",fontsize=10,color="white",style="solid",shape="box"];22 -> 721[label="",style="solid", color="burlywood", weight=9];
721 -> 41[label="",style="solid", color="burlywood", weight=3];
23[label="yu3 == yu400\n  Integral a",fontsize=16,color="burlywood",shape="triangle"];722[label="yu3/yu30 :% yu31",fontsize=10,color="white",style="solid",shape="box"];23 -> 722[label="",style="solid", color="burlywood", weight=9];
722 -> 42[label="",style="solid", color="burlywood", weight=3];
24[label="yu3 == yu400\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];723[label="yu3/Nothing",fontsize=10,color="white",style="solid",shape="box"];24 -> 723[label="",style="solid", color="burlywood", weight=9];
723 -> 43[label="",style="solid", color="burlywood", weight=3];
724[label="yu3/Just yu30",fontsize=10,color="white",style="solid",shape="box"];24 -> 724[label="",style="solid", color="burlywood", weight=9];
724 -> 44[label="",style="solid", color="burlywood", weight=3];
25[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];25 -> 45[label="",style="solid", color="black", weight=3];
26[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];26 -> 46[label="",style="solid", color="black", weight=3];
27[label="yu3 == yu400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="triangle"];725[label="yu3/(yu30,yu31,yu32)",fontsize=10,color="white",style="solid",shape="box"];27 -> 725[label="",style="solid", color="burlywood", weight=9];
725 -> 47[label="",style="solid", color="burlywood", weight=3];
28[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];726[label="yu3/False",fontsize=10,color="white",style="solid",shape="box"];28 -> 726[label="",style="solid", color="burlywood", weight=9];
726 -> 48[label="",style="solid", color="burlywood", weight=3];
727[label="yu3/True",fontsize=10,color="white",style="solid",shape="box"];28 -> 727[label="",style="solid", color="burlywood", weight=9];
727 -> 49[label="",style="solid", color="burlywood", weight=3];
29[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];29 -> 50[label="",style="solid", color="black", weight=3];
30[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];30 -> 51[label="",style="solid", color="black", weight=3];
31[label="yu3 == yu400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];728[label="yu3/Left yu30",fontsize=10,color="white",style="solid",shape="box"];31 -> 728[label="",style="solid", color="burlywood", weight=9];
728 -> 52[label="",style="solid", color="burlywood", weight=3];
729[label="yu3/Right yu30",fontsize=10,color="white",style="solid",shape="box"];31 -> 729[label="",style="solid", color="burlywood", weight=9];
729 -> 53[label="",style="solid", color="burlywood", weight=3];
32[label="lookup1 yu11 yu12 yu13 yu14 False\n  Eq a",fontsize=16,color="black",shape="box"];32 -> 54[label="",style="solid", color="black", weight=3];
33[label="lookup1 yu11 yu12 yu13 yu14 True\n  Eq a",fontsize=16,color="black",shape="box"];33 -> 55[label="",style="solid", color="black", weight=3];
34[label="(yu30,yu31) == yu400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];730[label="yu400/(yu4000,yu4001)",fontsize=10,color="white",style="solid",shape="box"];34 -> 730[label="",style="solid", color="burlywood", weight=9];
730 -> 56[label="",style="solid", color="burlywood", weight=3];
35[label="Integer yu30 == yu400",fontsize=16,color="burlywood",shape="box"];731[label="yu400/Integer yu4000",fontsize=10,color="white",style="solid",shape="box"];35 -> 731[label="",style="solid", color="burlywood", weight=9];
731 -> 57[label="",style="solid", color="burlywood", weight=3];
36[label="() == yu400",fontsize=16,color="burlywood",shape="box"];732[label="yu400/()",fontsize=10,color="white",style="solid",shape="box"];36 -> 732[label="",style="solid", color="burlywood", weight=9];
732 -> 58[label="",style="solid", color="burlywood", weight=3];
37[label="LT == yu400",fontsize=16,color="burlywood",shape="box"];733[label="yu400/LT",fontsize=10,color="white",style="solid",shape="box"];37 -> 733[label="",style="solid", color="burlywood", weight=9];
733 -> 59[label="",style="solid", color="burlywood", weight=3];
734[label="yu400/EQ",fontsize=10,color="white",style="solid",shape="box"];37 -> 734[label="",style="solid", color="burlywood", weight=9];
734 -> 60[label="",style="solid", color="burlywood", weight=3];
735[label="yu400/GT",fontsize=10,color="white",style="solid",shape="box"];37 -> 735[label="",style="solid", color="burlywood", weight=9];
735 -> 61[label="",style="solid", color="burlywood", weight=3];
38[label="EQ == yu400",fontsize=16,color="burlywood",shape="box"];736[label="yu400/LT",fontsize=10,color="white",style="solid",shape="box"];38 -> 736[label="",style="solid", color="burlywood", weight=9];
736 -> 62[label="",style="solid", color="burlywood", weight=3];
737[label="yu400/EQ",fontsize=10,color="white",style="solid",shape="box"];38 -> 737[label="",style="solid", color="burlywood", weight=9];
737 -> 63[label="",style="solid", color="burlywood", weight=3];
738[label="yu400/GT",fontsize=10,color="white",style="solid",shape="box"];38 -> 738[label="",style="solid", color="burlywood", weight=9];
738 -> 64[label="",style="solid", color="burlywood", weight=3];
39[label="GT == yu400",fontsize=16,color="burlywood",shape="box"];739[label="yu400/LT",fontsize=10,color="white",style="solid",shape="box"];39 -> 739[label="",style="solid", color="burlywood", weight=9];
739 -> 65[label="",style="solid", color="burlywood", weight=3];
740[label="yu400/EQ",fontsize=10,color="white",style="solid",shape="box"];39 -> 740[label="",style="solid", color="burlywood", weight=9];
740 -> 66[label="",style="solid", color="burlywood", weight=3];
741[label="yu400/GT",fontsize=10,color="white",style="solid",shape="box"];39 -> 741[label="",style="solid", color="burlywood", weight=9];
741 -> 67[label="",style="solid", color="burlywood", weight=3];
40[label="yu30 : yu31 == yu400\n  Eq a",fontsize=16,color="burlywood",shape="box"];742[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];40 -> 742[label="",style="solid", color="burlywood", weight=9];
742 -> 68[label="",style="solid", color="burlywood", weight=3];
743[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];40 -> 743[label="",style="solid", color="burlywood", weight=9];
743 -> 69[label="",style="solid", color="burlywood", weight=3];
41[label="[] == yu400\n  Eq a",fontsize=16,color="burlywood",shape="box"];744[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];41 -> 744[label="",style="solid", color="burlywood", weight=9];
744 -> 70[label="",style="solid", color="burlywood", weight=3];
745[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];41 -> 745[label="",style="solid", color="burlywood", weight=9];
745 -> 71[label="",style="solid", color="burlywood", weight=3];
42[label="yu30 :% yu31 == yu400\n  Integral a",fontsize=16,color="burlywood",shape="box"];746[label="yu400/yu4000 :% yu4001",fontsize=10,color="white",style="solid",shape="box"];42 -> 746[label="",style="solid", color="burlywood", weight=9];
746 -> 72[label="",style="solid", color="burlywood", weight=3];
43[label="Nothing == yu400\n  Eq a",fontsize=16,color="burlywood",shape="box"];747[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];43 -> 747[label="",style="solid", color="burlywood", weight=9];
747 -> 73[label="",style="solid", color="burlywood", weight=3];
748[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];43 -> 748[label="",style="solid", color="burlywood", weight=9];
748 -> 74[label="",style="solid", color="burlywood", weight=3];
44[label="Just yu30 == yu400\n  Eq a",fontsize=16,color="burlywood",shape="box"];749[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 749[label="",style="solid", color="burlywood", weight=9];
749 -> 75[label="",style="solid", color="burlywood", weight=3];
750[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];44 -> 750[label="",style="solid", color="burlywood", weight=9];
750 -> 76[label="",style="solid", color="burlywood", weight=3];
45[label="primEqInt yu3 yu400",fontsize=16,color="burlywood",shape="triangle"];751[label="yu3/Pos yu30",fontsize=10,color="white",style="solid",shape="box"];45 -> 751[label="",style="solid", color="burlywood", weight=9];
751 -> 77[label="",style="solid", color="burlywood", weight=3];
752[label="yu3/Neg yu30",fontsize=10,color="white",style="solid",shape="box"];45 -> 752[label="",style="solid", color="burlywood", weight=9];
752 -> 78[label="",style="solid", color="burlywood", weight=3];
46[label="primEqDouble yu3 yu400",fontsize=16,color="burlywood",shape="box"];753[label="yu3/Double yu30 yu31",fontsize=10,color="white",style="solid",shape="box"];46 -> 753[label="",style="solid", color="burlywood", weight=9];
753 -> 79[label="",style="solid", color="burlywood", weight=3];
47[label="(yu30,yu31,yu32) == yu400\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];754[label="yu400/(yu4000,yu4001,yu4002)",fontsize=10,color="white",style="solid",shape="box"];47 -> 754[label="",style="solid", color="burlywood", weight=9];
754 -> 80[label="",style="solid", color="burlywood", weight=3];
48[label="False == yu400",fontsize=16,color="burlywood",shape="box"];755[label="yu400/False",fontsize=10,color="white",style="solid",shape="box"];48 -> 755[label="",style="solid", color="burlywood", weight=9];
755 -> 81[label="",style="solid", color="burlywood", weight=3];
756[label="yu400/True",fontsize=10,color="white",style="solid",shape="box"];48 -> 756[label="",style="solid", color="burlywood", weight=9];
756 -> 82[label="",style="solid", color="burlywood", weight=3];
49[label="True == yu400",fontsize=16,color="burlywood",shape="box"];757[label="yu400/False",fontsize=10,color="white",style="solid",shape="box"];49 -> 757[label="",style="solid", color="burlywood", weight=9];
757 -> 83[label="",style="solid", color="burlywood", weight=3];
758[label="yu400/True",fontsize=10,color="white",style="solid",shape="box"];49 -> 758[label="",style="solid", color="burlywood", weight=9];
758 -> 84[label="",style="solid", color="burlywood", weight=3];
50[label="primEqFloat yu3 yu400",fontsize=16,color="burlywood",shape="box"];759[label="yu3/Float yu30 yu31",fontsize=10,color="white",style="solid",shape="box"];50 -> 759[label="",style="solid", color="burlywood", weight=9];
759 -> 85[label="",style="solid", color="burlywood", weight=3];
51[label="primEqChar yu3 yu400",fontsize=16,color="burlywood",shape="box"];760[label="yu3/Char yu30",fontsize=10,color="white",style="solid",shape="box"];51 -> 760[label="",style="solid", color="burlywood", weight=9];
760 -> 86[label="",style="solid", color="burlywood", weight=3];
52[label="Left yu30 == yu400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];761[label="yu400/Left yu4000",fontsize=10,color="white",style="solid",shape="box"];52 -> 761[label="",style="solid", color="burlywood", weight=9];
761 -> 87[label="",style="solid", color="burlywood", weight=3];
762[label="yu400/Right yu4000",fontsize=10,color="white",style="solid",shape="box"];52 -> 762[label="",style="solid", color="burlywood", weight=9];
762 -> 88[label="",style="solid", color="burlywood", weight=3];
53[label="Right yu30 == yu400\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];763[label="yu400/Left yu4000",fontsize=10,color="white",style="solid",shape="box"];53 -> 763[label="",style="solid", color="burlywood", weight=9];
763 -> 89[label="",style="solid", color="burlywood", weight=3];
764[label="yu400/Right yu4000",fontsize=10,color="white",style="solid",shape="box"];53 -> 764[label="",style="solid", color="burlywood", weight=9];
764 -> 90[label="",style="solid", color="burlywood", weight=3];
54[label="lookup0 yu11 yu12 yu13 yu14 otherwise\n  Eq a",fontsize=16,color="black",shape="box"];54 -> 91[label="",style="solid", color="black", weight=3];
55[label="Just yu13",fontsize=16,color="green",shape="box"];56[label="(yu30,yu31) == (yu4000,yu4001)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];56 -> 92[label="",style="solid", color="black", weight=3];
57[label="Integer yu30 == Integer yu4000",fontsize=16,color="black",shape="box"];57 -> 93[label="",style="solid", color="black", weight=3];
58[label="() == ()",fontsize=16,color="black",shape="box"];58 -> 94[label="",style="solid", color="black", weight=3];
59[label="LT == LT",fontsize=16,color="black",shape="box"];59 -> 95[label="",style="solid", color="black", weight=3];
60[label="LT == EQ",fontsize=16,color="black",shape="box"];60 -> 96[label="",style="solid", color="black", weight=3];
61[label="LT == GT",fontsize=16,color="black",shape="box"];61 -> 97[label="",style="solid", color="black", weight=3];
62[label="EQ == LT",fontsize=16,color="black",shape="box"];62 -> 98[label="",style="solid", color="black", weight=3];
63[label="EQ == EQ",fontsize=16,color="black",shape="box"];63 -> 99[label="",style="solid", color="black", weight=3];
64[label="EQ == GT",fontsize=16,color="black",shape="box"];64 -> 100[label="",style="solid", color="black", weight=3];
65[label="GT == LT",fontsize=16,color="black",shape="box"];65 -> 101[label="",style="solid", color="black", weight=3];
66[label="GT == EQ",fontsize=16,color="black",shape="box"];66 -> 102[label="",style="solid", color="black", weight=3];
67[label="GT == GT",fontsize=16,color="black",shape="box"];67 -> 103[label="",style="solid", color="black", weight=3];
68[label="yu30 : yu31 == yu4000 : yu4001\n  Eq a",fontsize=16,color="black",shape="box"];68 -> 104[label="",style="solid", color="black", weight=3];
69[label="yu30 : yu31 == []\n  Eq a",fontsize=16,color="black",shape="box"];69 -> 105[label="",style="solid", color="black", weight=3];
70[label="[] == yu4000 : yu4001\n  Eq a",fontsize=16,color="black",shape="box"];70 -> 106[label="",style="solid", color="black", weight=3];
71[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];71 -> 107[label="",style="solid", color="black", weight=3];
72[label="yu30 :% yu31 == yu4000 :% yu4001\n  Integral a",fontsize=16,color="black",shape="box"];72 -> 108[label="",style="solid", color="black", weight=3];
73[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];73 -> 109[label="",style="solid", color="black", weight=3];
74[label="Nothing == Just yu4000\n  Eq a",fontsize=16,color="black",shape="box"];74 -> 110[label="",style="solid", color="black", weight=3];
75[label="Just yu30 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];75 -> 111[label="",style="solid", color="black", weight=3];
76[label="Just yu30 == Just yu4000\n  Eq a",fontsize=16,color="black",shape="box"];76 -> 112[label="",style="solid", color="black", weight=3];
77[label="primEqInt (Pos yu30) yu400",fontsize=16,color="burlywood",shape="box"];765[label="yu30/Succ yu300",fontsize=10,color="white",style="solid",shape="box"];77 -> 765[label="",style="solid", color="burlywood", weight=9];
765 -> 113[label="",style="solid", color="burlywood", weight=3];
766[label="yu30/Zero",fontsize=10,color="white",style="solid",shape="box"];77 -> 766[label="",style="solid", color="burlywood", weight=9];
766 -> 114[label="",style="solid", color="burlywood", weight=3];
78[label="primEqInt (Neg yu30) yu400",fontsize=16,color="burlywood",shape="box"];767[label="yu30/Succ yu300",fontsize=10,color="white",style="solid",shape="box"];78 -> 767[label="",style="solid", color="burlywood", weight=9];
767 -> 115[label="",style="solid", color="burlywood", weight=3];
768[label="yu30/Zero",fontsize=10,color="white",style="solid",shape="box"];78 -> 768[label="",style="solid", color="burlywood", weight=9];
768 -> 116[label="",style="solid", color="burlywood", weight=3];
79[label="primEqDouble (Double yu30 yu31) yu400",fontsize=16,color="burlywood",shape="box"];769[label="yu400/Double yu4000 yu4001",fontsize=10,color="white",style="solid",shape="box"];79 -> 769[label="",style="solid", color="burlywood", weight=9];
769 -> 117[label="",style="solid", color="burlywood", weight=3];
80[label="(yu30,yu31,yu32) == (yu4000,yu4001,yu4002)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];80 -> 118[label="",style="solid", color="black", weight=3];
81[label="False == False",fontsize=16,color="black",shape="box"];81 -> 119[label="",style="solid", color="black", weight=3];
82[label="False == True",fontsize=16,color="black",shape="box"];82 -> 120[label="",style="solid", color="black", weight=3];
83[label="True == False",fontsize=16,color="black",shape="box"];83 -> 121[label="",style="solid", color="black", weight=3];
84[label="True == True",fontsize=16,color="black",shape="box"];84 -> 122[label="",style="solid", color="black", weight=3];
85[label="primEqFloat (Float yu30 yu31) yu400",fontsize=16,color="burlywood",shape="box"];770[label="yu400/Float yu4000 yu4001",fontsize=10,color="white",style="solid",shape="box"];85 -> 770[label="",style="solid", color="burlywood", weight=9];
770 -> 123[label="",style="solid", color="burlywood", weight=3];
86[label="primEqChar (Char yu30) yu400",fontsize=16,color="burlywood",shape="box"];771[label="yu400/Char yu4000",fontsize=10,color="white",style="solid",shape="box"];86 -> 771[label="",style="solid", color="burlywood", weight=9];
771 -> 124[label="",style="solid", color="burlywood", weight=3];
87[label="Left yu30 == Left yu4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];87 -> 125[label="",style="solid", color="black", weight=3];
88[label="Left yu30 == Right yu4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];88 -> 126[label="",style="solid", color="black", weight=3];
89[label="Right yu30 == Left yu4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];89 -> 127[label="",style="solid", color="black", weight=3];
90[label="Right yu30 == Right yu4000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];90 -> 128[label="",style="solid", color="black", weight=3];
91[label="lookup0 yu11 yu12 yu13 yu14 True\n  Eq a",fontsize=16,color="black",shape="box"];91 -> 129[label="",style="solid", color="black", weight=3];
92 -> 222[label="",style="dashed", color="red", weight=0];
92[label="yu30 == yu4000 && yu31 == yu4001\n  Eq a  Eq b",fontsize=16,color="magenta"];92 -> 223[label="",style="dashed", color="magenta", weight=3];
92 -> 224[label="",style="dashed", color="magenta", weight=3];
93 -> 45[label="",style="dashed", color="red", weight=0];
93[label="primEqInt yu30 yu4000",fontsize=16,color="magenta"];93 -> 140[label="",style="dashed", color="magenta", weight=3];
93 -> 141[label="",style="dashed", color="magenta", weight=3];
94[label="True",fontsize=16,color="green",shape="box"];95[label="True",fontsize=16,color="green",shape="box"];96[label="False",fontsize=16,color="green",shape="box"];97[label="False",fontsize=16,color="green",shape="box"];98[label="False",fontsize=16,color="green",shape="box"];99[label="True",fontsize=16,color="green",shape="box"];100[label="False",fontsize=16,color="green",shape="box"];101[label="False",fontsize=16,color="green",shape="box"];102[label="False",fontsize=16,color="green",shape="box"];103[label="True",fontsize=16,color="green",shape="box"];104 -> 222[label="",style="dashed", color="red", weight=0];
104[label="yu30 == yu4000 && yu31 == yu4001\n  Eq a",fontsize=16,color="magenta"];104 -> 225[label="",style="dashed", color="magenta", weight=3];
104 -> 226[label="",style="dashed", color="magenta", weight=3];
105[label="False",fontsize=16,color="green",shape="box"];106[label="False",fontsize=16,color="green",shape="box"];107[label="True",fontsize=16,color="green",shape="box"];108 -> 222[label="",style="dashed", color="red", weight=0];
108[label="yu30 == yu4000 && yu31 == yu4001\n  Integral a",fontsize=16,color="magenta"];108 -> 227[label="",style="dashed", color="magenta", weight=3];
108 -> 228[label="",style="dashed", color="magenta", weight=3];
109[label="True",fontsize=16,color="green",shape="box"];110[label="False",fontsize=16,color="green",shape="box"];111[label="False",fontsize=16,color="green",shape="box"];112[label="yu30 == yu4000\n  Eq a",fontsize=16,color="blue",shape="box"];776[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 776[label="",style="solid", color="blue", weight=9];
776 -> 142[label="",style="solid", color="blue", weight=3];
777[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 777[label="",style="solid", color="blue", weight=9];
777 -> 143[label="",style="solid", color="blue", weight=3];
778[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 778[label="",style="solid", color="blue", weight=9];
778 -> 144[label="",style="solid", color="blue", weight=3];
779[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 779[label="",style="solid", color="blue", weight=9];
779 -> 145[label="",style="solid", color="blue", weight=3];
780[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 780[label="",style="solid", color="blue", weight=9];
780 -> 146[label="",style="solid", color="blue", weight=3];
781[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 781[label="",style="solid", color="blue", weight=9];
781 -> 147[label="",style="solid", color="blue", weight=3];
782[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 782[label="",style="solid", color="blue", weight=9];
782 -> 148[label="",style="solid", color="blue", weight=3];
783[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 783[label="",style="solid", color="blue", weight=9];
783 -> 149[label="",style="solid", color="blue", weight=3];
784[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 784[label="",style="solid", color="blue", weight=9];
784 -> 150[label="",style="solid", color="blue", weight=3];
785[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 785[label="",style="solid", color="blue", weight=9];
785 -> 151[label="",style="solid", color="blue", weight=3];
786[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 786[label="",style="solid", color="blue", weight=9];
786 -> 152[label="",style="solid", color="blue", weight=3];
787[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 787[label="",style="solid", color="blue", weight=9];
787 -> 153[label="",style="solid", color="blue", weight=3];
788[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 788[label="",style="solid", color="blue", weight=9];
788 -> 154[label="",style="solid", color="blue", weight=3];
789[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];112 -> 789[label="",style="solid", color="blue", weight=9];
789 -> 155[label="",style="solid", color="blue", weight=3];
113[label="primEqInt (Pos (Succ yu300)) yu400",fontsize=16,color="burlywood",shape="box"];790[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];113 -> 790[label="",style="solid", color="burlywood", weight=9];
790 -> 156[label="",style="solid", color="burlywood", weight=3];
791[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];113 -> 791[label="",style="solid", color="burlywood", weight=9];
791 -> 157[label="",style="solid", color="burlywood", weight=3];
114[label="primEqInt (Pos Zero) yu400",fontsize=16,color="burlywood",shape="box"];792[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];114 -> 792[label="",style="solid", color="burlywood", weight=9];
792 -> 158[label="",style="solid", color="burlywood", weight=3];
793[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];114 -> 793[label="",style="solid", color="burlywood", weight=9];
793 -> 159[label="",style="solid", color="burlywood", weight=3];
115[label="primEqInt (Neg (Succ yu300)) yu400",fontsize=16,color="burlywood",shape="box"];794[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];115 -> 794[label="",style="solid", color="burlywood", weight=9];
794 -> 160[label="",style="solid", color="burlywood", weight=3];
795[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];115 -> 795[label="",style="solid", color="burlywood", weight=9];
795 -> 161[label="",style="solid", color="burlywood", weight=3];
116[label="primEqInt (Neg Zero) yu400",fontsize=16,color="burlywood",shape="box"];796[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];116 -> 796[label="",style="solid", color="burlywood", weight=9];
796 -> 162[label="",style="solid", color="burlywood", weight=3];
797[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];116 -> 797[label="",style="solid", color="burlywood", weight=9];
797 -> 163[label="",style="solid", color="burlywood", weight=3];
117[label="primEqDouble (Double yu30 yu31) (Double yu4000 yu4001)",fontsize=16,color="black",shape="box"];117 -> 164[label="",style="solid", color="black", weight=3];
118 -> 222[label="",style="dashed", color="red", weight=0];
118[label="yu30 == yu4000 && yu31 == yu4001 && yu32 == yu4002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];118 -> 229[label="",style="dashed", color="magenta", weight=3];
118 -> 230[label="",style="dashed", color="magenta", weight=3];
119[label="True",fontsize=16,color="green",shape="box"];120[label="False",fontsize=16,color="green",shape="box"];121[label="False",fontsize=16,color="green",shape="box"];122[label="True",fontsize=16,color="green",shape="box"];123[label="primEqFloat (Float yu30 yu31) (Float yu4000 yu4001)",fontsize=16,color="black",shape="box"];123 -> 176[label="",style="solid", color="black", weight=3];
124[label="primEqChar (Char yu30) (Char yu4000)",fontsize=16,color="black",shape="box"];124 -> 177[label="",style="solid", color="black", weight=3];
125[label="yu30 == yu4000\n  Eq a",fontsize=16,color="blue",shape="box"];799[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 799[label="",style="solid", color="blue", weight=9];
799 -> 178[label="",style="solid", color="blue", weight=3];
800[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 800[label="",style="solid", color="blue", weight=9];
800 -> 179[label="",style="solid", color="blue", weight=3];
801[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 801[label="",style="solid", color="blue", weight=9];
801 -> 180[label="",style="solid", color="blue", weight=3];
802[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 802[label="",style="solid", color="blue", weight=9];
802 -> 181[label="",style="solid", color="blue", weight=3];
803[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 803[label="",style="solid", color="blue", weight=9];
803 -> 182[label="",style="solid", color="blue", weight=3];
804[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 804[label="",style="solid", color="blue", weight=9];
804 -> 183[label="",style="solid", color="blue", weight=3];
805[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 805[label="",style="solid", color="blue", weight=9];
805 -> 184[label="",style="solid", color="blue", weight=3];
806[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 806[label="",style="solid", color="blue", weight=9];
806 -> 185[label="",style="solid", color="blue", weight=3];
807[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 807[label="",style="solid", color="blue", weight=9];
807 -> 186[label="",style="solid", color="blue", weight=3];
808[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 808[label="",style="solid", color="blue", weight=9];
808 -> 187[label="",style="solid", color="blue", weight=3];
809[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 809[label="",style="solid", color="blue", weight=9];
809 -> 188[label="",style="solid", color="blue", weight=3];
810[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 810[label="",style="solid", color="blue", weight=9];
810 -> 189[label="",style="solid", color="blue", weight=3];
811[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 811[label="",style="solid", color="blue", weight=9];
811 -> 190[label="",style="solid", color="blue", weight=3];
812[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 812[label="",style="solid", color="blue", weight=9];
812 -> 191[label="",style="solid", color="blue", weight=3];
126[label="False",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="yu30 == yu4000\n  Eq a",fontsize=16,color="blue",shape="box"];813[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 813[label="",style="solid", color="blue", weight=9];
813 -> 192[label="",style="solid", color="blue", weight=3];
814[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 814[label="",style="solid", color="blue", weight=9];
814 -> 193[label="",style="solid", color="blue", weight=3];
815[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 815[label="",style="solid", color="blue", weight=9];
815 -> 194[label="",style="solid", color="blue", weight=3];
816[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 816[label="",style="solid", color="blue", weight=9];
816 -> 195[label="",style="solid", color="blue", weight=3];
817[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 817[label="",style="solid", color="blue", weight=9];
817 -> 196[label="",style="solid", color="blue", weight=3];
818[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 818[label="",style="solid", color="blue", weight=9];
818 -> 197[label="",style="solid", color="blue", weight=3];
819[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 819[label="",style="solid", color="blue", weight=9];
819 -> 198[label="",style="solid", color="blue", weight=3];
820[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 820[label="",style="solid", color="blue", weight=9];
820 -> 199[label="",style="solid", color="blue", weight=3];
821[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 821[label="",style="solid", color="blue", weight=9];
821 -> 200[label="",style="solid", color="blue", weight=3];
822[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 822[label="",style="solid", color="blue", weight=9];
822 -> 201[label="",style="solid", color="blue", weight=3];
823[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 823[label="",style="solid", color="blue", weight=9];
823 -> 202[label="",style="solid", color="blue", weight=3];
824[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 824[label="",style="solid", color="blue", weight=9];
824 -> 203[label="",style="solid", color="blue", weight=3];
825[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 825[label="",style="solid", color="blue", weight=9];
825 -> 204[label="",style="solid", color="blue", weight=3];
826[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 826[label="",style="solid", color="blue", weight=9];
826 -> 205[label="",style="solid", color="blue", weight=3];
129 -> 4[label="",style="dashed", color="red", weight=0];
129[label="lookup yu11 yu14\n  Eq a",fontsize=16,color="magenta"];129 -> 206[label="",style="dashed", color="magenta", weight=3];
129 -> 207[label="",style="dashed", color="magenta", weight=3];
223[label="yu31 == yu4001\n  Eq a",fontsize=16,color="blue",shape="box"];828[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 828[label="",style="solid", color="blue", weight=9];
828 -> 235[label="",style="solid", color="blue", weight=3];
829[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 829[label="",style="solid", color="blue", weight=9];
829 -> 236[label="",style="solid", color="blue", weight=3];
830[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 830[label="",style="solid", color="blue", weight=9];
830 -> 237[label="",style="solid", color="blue", weight=3];
831[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 831[label="",style="solid", color="blue", weight=9];
831 -> 238[label="",style="solid", color="blue", weight=3];
832[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 832[label="",style="solid", color="blue", weight=9];
832 -> 239[label="",style="solid", color="blue", weight=3];
833[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 833[label="",style="solid", color="blue", weight=9];
833 -> 240[label="",style="solid", color="blue", weight=3];
834[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 834[label="",style="solid", color="blue", weight=9];
834 -> 241[label="",style="solid", color="blue", weight=3];
835[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 835[label="",style="solid", color="blue", weight=9];
835 -> 242[label="",style="solid", color="blue", weight=3];
836[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 836[label="",style="solid", color="blue", weight=9];
836 -> 243[label="",style="solid", color="blue", weight=3];
837[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 837[label="",style="solid", color="blue", weight=9];
837 -> 244[label="",style="solid", color="blue", weight=3];
838[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 838[label="",style="solid", color="blue", weight=9];
838 -> 245[label="",style="solid", color="blue", weight=3];
839[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 839[label="",style="solid", color="blue", weight=9];
839 -> 246[label="",style="solid", color="blue", weight=3];
840[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 840[label="",style="solid", color="blue", weight=9];
840 -> 247[label="",style="solid", color="blue", weight=3];
841[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 841[label="",style="solid", color="blue", weight=9];
841 -> 248[label="",style="solid", color="blue", weight=3];
224[label="yu30 == yu4000\n  Eq a",fontsize=16,color="blue",shape="box"];842[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 842[label="",style="solid", color="blue", weight=9];
842 -> 249[label="",style="solid", color="blue", weight=3];
843[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 843[label="",style="solid", color="blue", weight=9];
843 -> 250[label="",style="solid", color="blue", weight=3];
844[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 844[label="",style="solid", color="blue", weight=9];
844 -> 251[label="",style="solid", color="blue", weight=3];
845[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 845[label="",style="solid", color="blue", weight=9];
845 -> 252[label="",style="solid", color="blue", weight=3];
846[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 846[label="",style="solid", color="blue", weight=9];
846 -> 253[label="",style="solid", color="blue", weight=3];
847[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 847[label="",style="solid", color="blue", weight=9];
847 -> 254[label="",style="solid", color="blue", weight=3];
848[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 848[label="",style="solid", color="blue", weight=9];
848 -> 255[label="",style="solid", color="blue", weight=3];
849[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 849[label="",style="solid", color="blue", weight=9];
849 -> 256[label="",style="solid", color="blue", weight=3];
850[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 850[label="",style="solid", color="blue", weight=9];
850 -> 257[label="",style="solid", color="blue", weight=3];
851[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 851[label="",style="solid", color="blue", weight=9];
851 -> 258[label="",style="solid", color="blue", weight=3];
852[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 852[label="",style="solid", color="blue", weight=9];
852 -> 259[label="",style="solid", color="blue", weight=3];
853[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 853[label="",style="solid", color="blue", weight=9];
853 -> 260[label="",style="solid", color="blue", weight=3];
854[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 854[label="",style="solid", color="blue", weight=9];
854 -> 261[label="",style="solid", color="blue", weight=3];
855[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 855[label="",style="solid", color="blue", weight=9];
855 -> 262[label="",style="solid", color="blue", weight=3];
222[label="yu27 && yu28",fontsize=16,color="burlywood",shape="triangle"];856[label="yu27/False",fontsize=10,color="white",style="solid",shape="box"];222 -> 856[label="",style="solid", color="burlywood", weight=9];
856 -> 263[label="",style="solid", color="burlywood", weight=3];
857[label="yu27/True",fontsize=10,color="white",style="solid",shape="box"];222 -> 857[label="",style="solid", color="burlywood", weight=9];
857 -> 264[label="",style="solid", color="burlywood", weight=3];
140[label="yu4000",fontsize=16,color="green",shape="box"];141[label="yu30",fontsize=16,color="green",shape="box"];225 -> 22[label="",style="dashed", color="red", weight=0];
225[label="yu31 == yu4001\n  Eq a",fontsize=16,color="magenta"];225 -> 265[label="",style="dashed", color="magenta", weight=3];
225 -> 266[label="",style="dashed", color="magenta", weight=3];
226[label="yu30 == yu4000\n  Eq a",fontsize=16,color="blue",shape="box"];859[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 859[label="",style="solid", color="blue", weight=9];
859 -> 267[label="",style="solid", color="blue", weight=3];
860[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 860[label="",style="solid", color="blue", weight=9];
860 -> 268[label="",style="solid", color="blue", weight=3];
861[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 861[label="",style="solid", color="blue", weight=9];
861 -> 269[label="",style="solid", color="blue", weight=3];
862[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 862[label="",style="solid", color="blue", weight=9];
862 -> 270[label="",style="solid", color="blue", weight=3];
863[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 863[label="",style="solid", color="blue", weight=9];
863 -> 271[label="",style="solid", color="blue", weight=3];
864[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 864[label="",style="solid", color="blue", weight=9];
864 -> 272[label="",style="solid", color="blue", weight=3];
865[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 865[label="",style="solid", color="blue", weight=9];
865 -> 273[label="",style="solid", color="blue", weight=3];
866[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 866[label="",style="solid", color="blue", weight=9];
866 -> 274[label="",style="solid", color="blue", weight=3];
867[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 867[label="",style="solid", color="blue", weight=9];
867 -> 275[label="",style="solid", color="blue", weight=3];
868[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 868[label="",style="solid", color="blue", weight=9];
868 -> 276[label="",style="solid", color="blue", weight=3];
869[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 869[label="",style="solid", color="blue", weight=9];
869 -> 277[label="",style="solid", color="blue", weight=3];
870[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 870[label="",style="solid", color="blue", weight=9];
870 -> 278[label="",style="solid", color="blue", weight=3];
871[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 871[label="",style="solid", color="blue", weight=9];
871 -> 279[label="",style="solid", color="blue", weight=3];
872[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 872[label="",style="solid", color="blue", weight=9];
872 -> 280[label="",style="solid", color="blue", weight=3];
227[label="yu31 == yu4001\n  Integral a",fontsize=16,color="blue",shape="box"];873[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 873[label="",style="solid", color="blue", weight=9];
873 -> 281[label="",style="solid", color="blue", weight=3];
874[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 874[label="",style="solid", color="blue", weight=9];
874 -> 282[label="",style="solid", color="blue", weight=3];
228[label="yu30 == yu4000\n  Integral a",fontsize=16,color="blue",shape="box"];875[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 875[label="",style="solid", color="blue", weight=9];
875 -> 283[label="",style="solid", color="blue", weight=3];
876[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 876[label="",style="solid", color="blue", weight=9];
876 -> 284[label="",style="solid", color="blue", weight=3];
142 -> 18[label="",style="dashed", color="red", weight=0];
142[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];142 -> 285[label="",style="dashed", color="magenta", weight=3];
142 -> 286[label="",style="dashed", color="magenta", weight=3];
143 -> 19[label="",style="dashed", color="red", weight=0];
143[label="yu30 == yu4000",fontsize=16,color="magenta"];143 -> 287[label="",style="dashed", color="magenta", weight=3];
143 -> 288[label="",style="dashed", color="magenta", weight=3];
144 -> 20[label="",style="dashed", color="red", weight=0];
144[label="yu30 == yu4000",fontsize=16,color="magenta"];144 -> 289[label="",style="dashed", color="magenta", weight=3];
144 -> 290[label="",style="dashed", color="magenta", weight=3];
145 -> 21[label="",style="dashed", color="red", weight=0];
145[label="yu30 == yu4000",fontsize=16,color="magenta"];145 -> 291[label="",style="dashed", color="magenta", weight=3];
145 -> 292[label="",style="dashed", color="magenta", weight=3];
146 -> 22[label="",style="dashed", color="red", weight=0];
146[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];146 -> 293[label="",style="dashed", color="magenta", weight=3];
146 -> 294[label="",style="dashed", color="magenta", weight=3];
147 -> 23[label="",style="dashed", color="red", weight=0];
147[label="yu30 == yu4000\n  Integral a",fontsize=16,color="magenta"];147 -> 295[label="",style="dashed", color="magenta", weight=3];
147 -> 296[label="",style="dashed", color="magenta", weight=3];
148 -> 24[label="",style="dashed", color="red", weight=0];
148[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];148 -> 297[label="",style="dashed", color="magenta", weight=3];
148 -> 298[label="",style="dashed", color="magenta", weight=3];
149 -> 25[label="",style="dashed", color="red", weight=0];
149[label="yu30 == yu4000",fontsize=16,color="magenta"];149 -> 299[label="",style="dashed", color="magenta", weight=3];
149 -> 300[label="",style="dashed", color="magenta", weight=3];
150 -> 26[label="",style="dashed", color="red", weight=0];
150[label="yu30 == yu4000",fontsize=16,color="magenta"];150 -> 301[label="",style="dashed", color="magenta", weight=3];
150 -> 302[label="",style="dashed", color="magenta", weight=3];
151 -> 27[label="",style="dashed", color="red", weight=0];
151[label="yu30 == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];151 -> 303[label="",style="dashed", color="magenta", weight=3];
151 -> 304[label="",style="dashed", color="magenta", weight=3];
152 -> 28[label="",style="dashed", color="red", weight=0];
152[label="yu30 == yu4000",fontsize=16,color="magenta"];152 -> 305[label="",style="dashed", color="magenta", weight=3];
152 -> 306[label="",style="dashed", color="magenta", weight=3];
153 -> 29[label="",style="dashed", color="red", weight=0];
153[label="yu30 == yu4000",fontsize=16,color="magenta"];153 -> 307[label="",style="dashed", color="magenta", weight=3];
153 -> 308[label="",style="dashed", color="magenta", weight=3];
154 -> 30[label="",style="dashed", color="red", weight=0];
154[label="yu30 == yu4000",fontsize=16,color="magenta"];154 -> 309[label="",style="dashed", color="magenta", weight=3];
154 -> 310[label="",style="dashed", color="magenta", weight=3];
155 -> 31[label="",style="dashed", color="red", weight=0];
155[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];155 -> 311[label="",style="dashed", color="magenta", weight=3];
155 -> 312[label="",style="dashed", color="magenta", weight=3];
156[label="primEqInt (Pos (Succ yu300)) (Pos yu4000)",fontsize=16,color="burlywood",shape="box"];891[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];156 -> 891[label="",style="solid", color="burlywood", weight=9];
891 -> 313[label="",style="solid", color="burlywood", weight=3];
892[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];156 -> 892[label="",style="solid", color="burlywood", weight=9];
892 -> 314[label="",style="solid", color="burlywood", weight=3];
157[label="primEqInt (Pos (Succ yu300)) (Neg yu4000)",fontsize=16,color="black",shape="box"];157 -> 315[label="",style="solid", color="black", weight=3];
158[label="primEqInt (Pos Zero) (Pos yu4000)",fontsize=16,color="burlywood",shape="box"];893[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];158 -> 893[label="",style="solid", color="burlywood", weight=9];
893 -> 316[label="",style="solid", color="burlywood", weight=3];
894[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];158 -> 894[label="",style="solid", color="burlywood", weight=9];
894 -> 317[label="",style="solid", color="burlywood", weight=3];
159[label="primEqInt (Pos Zero) (Neg yu4000)",fontsize=16,color="burlywood",shape="box"];895[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];159 -> 895[label="",style="solid", color="burlywood", weight=9];
895 -> 318[label="",style="solid", color="burlywood", weight=3];
896[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];159 -> 896[label="",style="solid", color="burlywood", weight=9];
896 -> 319[label="",style="solid", color="burlywood", weight=3];
160[label="primEqInt (Neg (Succ yu300)) (Pos yu4000)",fontsize=16,color="black",shape="box"];160 -> 320[label="",style="solid", color="black", weight=3];
161[label="primEqInt (Neg (Succ yu300)) (Neg yu4000)",fontsize=16,color="burlywood",shape="box"];897[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];161 -> 897[label="",style="solid", color="burlywood", weight=9];
897 -> 321[label="",style="solid", color="burlywood", weight=3];
898[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];161 -> 898[label="",style="solid", color="burlywood", weight=9];
898 -> 322[label="",style="solid", color="burlywood", weight=3];
162[label="primEqInt (Neg Zero) (Pos yu4000)",fontsize=16,color="burlywood",shape="box"];899[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];162 -> 899[label="",style="solid", color="burlywood", weight=9];
899 -> 323[label="",style="solid", color="burlywood", weight=3];
900[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];162 -> 900[label="",style="solid", color="burlywood", weight=9];
900 -> 324[label="",style="solid", color="burlywood", weight=3];
163[label="primEqInt (Neg Zero) (Neg yu4000)",fontsize=16,color="burlywood",shape="box"];901[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];163 -> 901[label="",style="solid", color="burlywood", weight=9];
901 -> 325[label="",style="solid", color="burlywood", weight=3];
902[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];163 -> 902[label="",style="solid", color="burlywood", weight=9];
902 -> 326[label="",style="solid", color="burlywood", weight=3];
164 -> 25[label="",style="dashed", color="red", weight=0];
164[label="yu30 * yu4000 == yu31 * yu4001",fontsize=16,color="magenta"];164 -> 327[label="",style="dashed", color="magenta", weight=3];
164 -> 328[label="",style="dashed", color="magenta", weight=3];
229 -> 222[label="",style="dashed", color="red", weight=0];
229[label="yu31 == yu4001 && yu32 == yu4002\n  Eq a  Eq b",fontsize=16,color="magenta"];229 -> 329[label="",style="dashed", color="magenta", weight=3];
229 -> 330[label="",style="dashed", color="magenta", weight=3];
230[label="yu30 == yu4000\n  Eq a",fontsize=16,color="blue",shape="box"];905[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 905[label="",style="solid", color="blue", weight=9];
905 -> 331[label="",style="solid", color="blue", weight=3];
906[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 906[label="",style="solid", color="blue", weight=9];
906 -> 332[label="",style="solid", color="blue", weight=3];
907[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 907[label="",style="solid", color="blue", weight=9];
907 -> 333[label="",style="solid", color="blue", weight=3];
908[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 908[label="",style="solid", color="blue", weight=9];
908 -> 334[label="",style="solid", color="blue", weight=3];
909[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 909[label="",style="solid", color="blue", weight=9];
909 -> 335[label="",style="solid", color="blue", weight=3];
910[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 910[label="",style="solid", color="blue", weight=9];
910 -> 336[label="",style="solid", color="blue", weight=3];
911[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 911[label="",style="solid", color="blue", weight=9];
911 -> 337[label="",style="solid", color="blue", weight=3];
912[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 912[label="",style="solid", color="blue", weight=9];
912 -> 338[label="",style="solid", color="blue", weight=3];
913[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 913[label="",style="solid", color="blue", weight=9];
913 -> 339[label="",style="solid", color="blue", weight=3];
914[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 914[label="",style="solid", color="blue", weight=9];
914 -> 340[label="",style="solid", color="blue", weight=3];
915[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 915[label="",style="solid", color="blue", weight=9];
915 -> 341[label="",style="solid", color="blue", weight=3];
916[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 916[label="",style="solid", color="blue", weight=9];
916 -> 342[label="",style="solid", color="blue", weight=3];
917[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 917[label="",style="solid", color="blue", weight=9];
917 -> 343[label="",style="solid", color="blue", weight=3];
918[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];230 -> 918[label="",style="solid", color="blue", weight=9];
918 -> 344[label="",style="solid", color="blue", weight=3];
176 -> 25[label="",style="dashed", color="red", weight=0];
176[label="yu30 * yu4000 == yu31 * yu4001",fontsize=16,color="magenta"];176 -> 345[label="",style="dashed", color="magenta", weight=3];
176 -> 346[label="",style="dashed", color="magenta", weight=3];
177[label="primEqNat yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];920[label="yu30/Succ yu300",fontsize=10,color="white",style="solid",shape="box"];177 -> 920[label="",style="solid", color="burlywood", weight=9];
920 -> 347[label="",style="solid", color="burlywood", weight=3];
921[label="yu30/Zero",fontsize=10,color="white",style="solid",shape="box"];177 -> 921[label="",style="solid", color="burlywood", weight=9];
921 -> 348[label="",style="solid", color="burlywood", weight=3];
178 -> 18[label="",style="dashed", color="red", weight=0];
178[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];178 -> 349[label="",style="dashed", color="magenta", weight=3];
178 -> 350[label="",style="dashed", color="magenta", weight=3];
179 -> 19[label="",style="dashed", color="red", weight=0];
179[label="yu30 == yu4000",fontsize=16,color="magenta"];179 -> 351[label="",style="dashed", color="magenta", weight=3];
179 -> 352[label="",style="dashed", color="magenta", weight=3];
180 -> 20[label="",style="dashed", color="red", weight=0];
180[label="yu30 == yu4000",fontsize=16,color="magenta"];180 -> 353[label="",style="dashed", color="magenta", weight=3];
180 -> 354[label="",style="dashed", color="magenta", weight=3];
181 -> 21[label="",style="dashed", color="red", weight=0];
181[label="yu30 == yu4000",fontsize=16,color="magenta"];181 -> 355[label="",style="dashed", color="magenta", weight=3];
181 -> 356[label="",style="dashed", color="magenta", weight=3];
182 -> 22[label="",style="dashed", color="red", weight=0];
182[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];182 -> 357[label="",style="dashed", color="magenta", weight=3];
182 -> 358[label="",style="dashed", color="magenta", weight=3];
183 -> 23[label="",style="dashed", color="red", weight=0];
183[label="yu30 == yu4000\n  Integral a",fontsize=16,color="magenta"];183 -> 359[label="",style="dashed", color="magenta", weight=3];
183 -> 360[label="",style="dashed", color="magenta", weight=3];
184 -> 24[label="",style="dashed", color="red", weight=0];
184[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];184 -> 361[label="",style="dashed", color="magenta", weight=3];
184 -> 362[label="",style="dashed", color="magenta", weight=3];
185 -> 25[label="",style="dashed", color="red", weight=0];
185[label="yu30 == yu4000",fontsize=16,color="magenta"];185 -> 363[label="",style="dashed", color="magenta", weight=3];
185 -> 364[label="",style="dashed", color="magenta", weight=3];
186 -> 26[label="",style="dashed", color="red", weight=0];
186[label="yu30 == yu4000",fontsize=16,color="magenta"];186 -> 365[label="",style="dashed", color="magenta", weight=3];
186 -> 366[label="",style="dashed", color="magenta", weight=3];
187 -> 27[label="",style="dashed", color="red", weight=0];
187[label="yu30 == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];187 -> 367[label="",style="dashed", color="magenta", weight=3];
187 -> 368[label="",style="dashed", color="magenta", weight=3];
188 -> 28[label="",style="dashed", color="red", weight=0];
188[label="yu30 == yu4000",fontsize=16,color="magenta"];188 -> 369[label="",style="dashed", color="magenta", weight=3];
188 -> 370[label="",style="dashed", color="magenta", weight=3];
189 -> 29[label="",style="dashed", color="red", weight=0];
189[label="yu30 == yu4000",fontsize=16,color="magenta"];189 -> 371[label="",style="dashed", color="magenta", weight=3];
189 -> 372[label="",style="dashed", color="magenta", weight=3];
190 -> 30[label="",style="dashed", color="red", weight=0];
190[label="yu30 == yu4000",fontsize=16,color="magenta"];190 -> 373[label="",style="dashed", color="magenta", weight=3];
190 -> 374[label="",style="dashed", color="magenta", weight=3];
191 -> 31[label="",style="dashed", color="red", weight=0];
191[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];191 -> 375[label="",style="dashed", color="magenta", weight=3];
191 -> 376[label="",style="dashed", color="magenta", weight=3];
192 -> 18[label="",style="dashed", color="red", weight=0];
192[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];192 -> 377[label="",style="dashed", color="magenta", weight=3];
192 -> 378[label="",style="dashed", color="magenta", weight=3];
193 -> 19[label="",style="dashed", color="red", weight=0];
193[label="yu30 == yu4000",fontsize=16,color="magenta"];193 -> 379[label="",style="dashed", color="magenta", weight=3];
193 -> 380[label="",style="dashed", color="magenta", weight=3];
194 -> 20[label="",style="dashed", color="red", weight=0];
194[label="yu30 == yu4000",fontsize=16,color="magenta"];194 -> 381[label="",style="dashed", color="magenta", weight=3];
194 -> 382[label="",style="dashed", color="magenta", weight=3];
195 -> 21[label="",style="dashed", color="red", weight=0];
195[label="yu30 == yu4000",fontsize=16,color="magenta"];195 -> 383[label="",style="dashed", color="magenta", weight=3];
195 -> 384[label="",style="dashed", color="magenta", weight=3];
196 -> 22[label="",style="dashed", color="red", weight=0];
196[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];196 -> 385[label="",style="dashed", color="magenta", weight=3];
196 -> 386[label="",style="dashed", color="magenta", weight=3];
197 -> 23[label="",style="dashed", color="red", weight=0];
197[label="yu30 == yu4000\n  Integral a",fontsize=16,color="magenta"];197 -> 387[label="",style="dashed", color="magenta", weight=3];
197 -> 388[label="",style="dashed", color="magenta", weight=3];
198 -> 24[label="",style="dashed", color="red", weight=0];
198[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];198 -> 389[label="",style="dashed", color="magenta", weight=3];
198 -> 390[label="",style="dashed", color="magenta", weight=3];
199 -> 25[label="",style="dashed", color="red", weight=0];
199[label="yu30 == yu4000",fontsize=16,color="magenta"];199 -> 391[label="",style="dashed", color="magenta", weight=3];
199 -> 392[label="",style="dashed", color="magenta", weight=3];
200 -> 26[label="",style="dashed", color="red", weight=0];
200[label="yu30 == yu4000",fontsize=16,color="magenta"];200 -> 393[label="",style="dashed", color="magenta", weight=3];
200 -> 394[label="",style="dashed", color="magenta", weight=3];
201 -> 27[label="",style="dashed", color="red", weight=0];
201[label="yu30 == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];201 -> 395[label="",style="dashed", color="magenta", weight=3];
201 -> 396[label="",style="dashed", color="magenta", weight=3];
202 -> 28[label="",style="dashed", color="red", weight=0];
202[label="yu30 == yu4000",fontsize=16,color="magenta"];202 -> 397[label="",style="dashed", color="magenta", weight=3];
202 -> 398[label="",style="dashed", color="magenta", weight=3];
203 -> 29[label="",style="dashed", color="red", weight=0];
203[label="yu30 == yu4000",fontsize=16,color="magenta"];203 -> 399[label="",style="dashed", color="magenta", weight=3];
203 -> 400[label="",style="dashed", color="magenta", weight=3];
204 -> 30[label="",style="dashed", color="red", weight=0];
204[label="yu30 == yu4000",fontsize=16,color="magenta"];204 -> 401[label="",style="dashed", color="magenta", weight=3];
204 -> 402[label="",style="dashed", color="magenta", weight=3];
205 -> 31[label="",style="dashed", color="red", weight=0];
205[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];205 -> 403[label="",style="dashed", color="magenta", weight=3];
205 -> 404[label="",style="dashed", color="magenta", weight=3];
206[label="yu14\n  Eq a",fontsize=16,color="green",shape="box"];207[label="yu11\n  Eq a",fontsize=16,color="green",shape="box"];235 -> 18[label="",style="dashed", color="red", weight=0];
235[label="yu31 == yu4001\n  Eq a  Eq b",fontsize=16,color="magenta"];235 -> 405[label="",style="dashed", color="magenta", weight=3];
235 -> 406[label="",style="dashed", color="magenta", weight=3];
236 -> 19[label="",style="dashed", color="red", weight=0];
236[label="yu31 == yu4001",fontsize=16,color="magenta"];236 -> 407[label="",style="dashed", color="magenta", weight=3];
236 -> 408[label="",style="dashed", color="magenta", weight=3];
237 -> 20[label="",style="dashed", color="red", weight=0];
237[label="yu31 == yu4001",fontsize=16,color="magenta"];237 -> 409[label="",style="dashed", color="magenta", weight=3];
237 -> 410[label="",style="dashed", color="magenta", weight=3];
238 -> 21[label="",style="dashed", color="red", weight=0];
238[label="yu31 == yu4001",fontsize=16,color="magenta"];238 -> 411[label="",style="dashed", color="magenta", weight=3];
238 -> 412[label="",style="dashed", color="magenta", weight=3];
239 -> 22[label="",style="dashed", color="red", weight=0];
239[label="yu31 == yu4001\n  Eq a",fontsize=16,color="magenta"];239 -> 413[label="",style="dashed", color="magenta", weight=3];
239 -> 414[label="",style="dashed", color="magenta", weight=3];
240 -> 23[label="",style="dashed", color="red", weight=0];
240[label="yu31 == yu4001\n  Integral a",fontsize=16,color="magenta"];240 -> 415[label="",style="dashed", color="magenta", weight=3];
240 -> 416[label="",style="dashed", color="magenta", weight=3];
241 -> 24[label="",style="dashed", color="red", weight=0];
241[label="yu31 == yu4001\n  Eq a",fontsize=16,color="magenta"];241 -> 417[label="",style="dashed", color="magenta", weight=3];
241 -> 418[label="",style="dashed", color="magenta", weight=3];
242 -> 25[label="",style="dashed", color="red", weight=0];
242[label="yu31 == yu4001",fontsize=16,color="magenta"];242 -> 419[label="",style="dashed", color="magenta", weight=3];
242 -> 420[label="",style="dashed", color="magenta", weight=3];
243 -> 26[label="",style="dashed", color="red", weight=0];
243[label="yu31 == yu4001",fontsize=16,color="magenta"];243 -> 421[label="",style="dashed", color="magenta", weight=3];
243 -> 422[label="",style="dashed", color="magenta", weight=3];
244 -> 27[label="",style="dashed", color="red", weight=0];
244[label="yu31 == yu4001\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];244 -> 423[label="",style="dashed", color="magenta", weight=3];
244 -> 424[label="",style="dashed", color="magenta", weight=3];
245 -> 28[label="",style="dashed", color="red", weight=0];
245[label="yu31 == yu4001",fontsize=16,color="magenta"];245 -> 425[label="",style="dashed", color="magenta", weight=3];
245 -> 426[label="",style="dashed", color="magenta", weight=3];
246 -> 29[label="",style="dashed", color="red", weight=0];
246[label="yu31 == yu4001",fontsize=16,color="magenta"];246 -> 427[label="",style="dashed", color="magenta", weight=3];
246 -> 428[label="",style="dashed", color="magenta", weight=3];
247 -> 30[label="",style="dashed", color="red", weight=0];
247[label="yu31 == yu4001",fontsize=16,color="magenta"];247 -> 429[label="",style="dashed", color="magenta", weight=3];
247 -> 430[label="",style="dashed", color="magenta", weight=3];
248 -> 31[label="",style="dashed", color="red", weight=0];
248[label="yu31 == yu4001\n  Eq a  Eq b",fontsize=16,color="magenta"];248 -> 431[label="",style="dashed", color="magenta", weight=3];
248 -> 432[label="",style="dashed", color="magenta", weight=3];
249 -> 18[label="",style="dashed", color="red", weight=0];
249[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];249 -> 433[label="",style="dashed", color="magenta", weight=3];
249 -> 434[label="",style="dashed", color="magenta", weight=3];
250 -> 19[label="",style="dashed", color="red", weight=0];
250[label="yu30 == yu4000",fontsize=16,color="magenta"];250 -> 435[label="",style="dashed", color="magenta", weight=3];
250 -> 436[label="",style="dashed", color="magenta", weight=3];
251 -> 20[label="",style="dashed", color="red", weight=0];
251[label="yu30 == yu4000",fontsize=16,color="magenta"];251 -> 437[label="",style="dashed", color="magenta", weight=3];
251 -> 438[label="",style="dashed", color="magenta", weight=3];
252 -> 21[label="",style="dashed", color="red", weight=0];
252[label="yu30 == yu4000",fontsize=16,color="magenta"];252 -> 439[label="",style="dashed", color="magenta", weight=3];
252 -> 440[label="",style="dashed", color="magenta", weight=3];
253 -> 22[label="",style="dashed", color="red", weight=0];
253[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];253 -> 441[label="",style="dashed", color="magenta", weight=3];
253 -> 442[label="",style="dashed", color="magenta", weight=3];
254 -> 23[label="",style="dashed", color="red", weight=0];
254[label="yu30 == yu4000\n  Integral a",fontsize=16,color="magenta"];254 -> 443[label="",style="dashed", color="magenta", weight=3];
254 -> 444[label="",style="dashed", color="magenta", weight=3];
255 -> 24[label="",style="dashed", color="red", weight=0];
255[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];255 -> 445[label="",style="dashed", color="magenta", weight=3];
255 -> 446[label="",style="dashed", color="magenta", weight=3];
256 -> 25[label="",style="dashed", color="red", weight=0];
256[label="yu30 == yu4000",fontsize=16,color="magenta"];256 -> 447[label="",style="dashed", color="magenta", weight=3];
256 -> 448[label="",style="dashed", color="magenta", weight=3];
257 -> 26[label="",style="dashed", color="red", weight=0];
257[label="yu30 == yu4000",fontsize=16,color="magenta"];257 -> 449[label="",style="dashed", color="magenta", weight=3];
257 -> 450[label="",style="dashed", color="magenta", weight=3];
258 -> 27[label="",style="dashed", color="red", weight=0];
258[label="yu30 == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];258 -> 451[label="",style="dashed", color="magenta", weight=3];
258 -> 452[label="",style="dashed", color="magenta", weight=3];
259 -> 28[label="",style="dashed", color="red", weight=0];
259[label="yu30 == yu4000",fontsize=16,color="magenta"];259 -> 453[label="",style="dashed", color="magenta", weight=3];
259 -> 454[label="",style="dashed", color="magenta", weight=3];
260 -> 29[label="",style="dashed", color="red", weight=0];
260[label="yu30 == yu4000",fontsize=16,color="magenta"];260 -> 455[label="",style="dashed", color="magenta", weight=3];
260 -> 456[label="",style="dashed", color="magenta", weight=3];
261 -> 30[label="",style="dashed", color="red", weight=0];
261[label="yu30 == yu4000",fontsize=16,color="magenta"];261 -> 457[label="",style="dashed", color="magenta", weight=3];
261 -> 458[label="",style="dashed", color="magenta", weight=3];
262 -> 31[label="",style="dashed", color="red", weight=0];
262[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];262 -> 459[label="",style="dashed", color="magenta", weight=3];
262 -> 460[label="",style="dashed", color="magenta", weight=3];
263[label="False && yu28",fontsize=16,color="black",shape="box"];263 -> 461[label="",style="solid", color="black", weight=3];
264[label="True && yu28",fontsize=16,color="black",shape="box"];264 -> 462[label="",style="solid", color="black", weight=3];
265[label="yu4001\n  Eq a",fontsize=16,color="green",shape="box"];266[label="yu31\n  Eq a",fontsize=16,color="green",shape="box"];267 -> 18[label="",style="dashed", color="red", weight=0];
267[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];267 -> 463[label="",style="dashed", color="magenta", weight=3];
267 -> 464[label="",style="dashed", color="magenta", weight=3];
268 -> 19[label="",style="dashed", color="red", weight=0];
268[label="yu30 == yu4000",fontsize=16,color="magenta"];268 -> 465[label="",style="dashed", color="magenta", weight=3];
268 -> 466[label="",style="dashed", color="magenta", weight=3];
269 -> 20[label="",style="dashed", color="red", weight=0];
269[label="yu30 == yu4000",fontsize=16,color="magenta"];269 -> 467[label="",style="dashed", color="magenta", weight=3];
269 -> 468[label="",style="dashed", color="magenta", weight=3];
270 -> 21[label="",style="dashed", color="red", weight=0];
270[label="yu30 == yu4000",fontsize=16,color="magenta"];270 -> 469[label="",style="dashed", color="magenta", weight=3];
270 -> 470[label="",style="dashed", color="magenta", weight=3];
271 -> 22[label="",style="dashed", color="red", weight=0];
271[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];271 -> 471[label="",style="dashed", color="magenta", weight=3];
271 -> 472[label="",style="dashed", color="magenta", weight=3];
272 -> 23[label="",style="dashed", color="red", weight=0];
272[label="yu30 == yu4000\n  Integral a",fontsize=16,color="magenta"];272 -> 473[label="",style="dashed", color="magenta", weight=3];
272 -> 474[label="",style="dashed", color="magenta", weight=3];
273 -> 24[label="",style="dashed", color="red", weight=0];
273[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];273 -> 475[label="",style="dashed", color="magenta", weight=3];
273 -> 476[label="",style="dashed", color="magenta", weight=3];
274 -> 25[label="",style="dashed", color="red", weight=0];
274[label="yu30 == yu4000",fontsize=16,color="magenta"];274 -> 477[label="",style="dashed", color="magenta", weight=3];
274 -> 478[label="",style="dashed", color="magenta", weight=3];
275 -> 26[label="",style="dashed", color="red", weight=0];
275[label="yu30 == yu4000",fontsize=16,color="magenta"];275 -> 479[label="",style="dashed", color="magenta", weight=3];
275 -> 480[label="",style="dashed", color="magenta", weight=3];
276 -> 27[label="",style="dashed", color="red", weight=0];
276[label="yu30 == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];276 -> 481[label="",style="dashed", color="magenta", weight=3];
276 -> 482[label="",style="dashed", color="magenta", weight=3];
277 -> 28[label="",style="dashed", color="red", weight=0];
277[label="yu30 == yu4000",fontsize=16,color="magenta"];277 -> 483[label="",style="dashed", color="magenta", weight=3];
277 -> 484[label="",style="dashed", color="magenta", weight=3];
278 -> 29[label="",style="dashed", color="red", weight=0];
278[label="yu30 == yu4000",fontsize=16,color="magenta"];278 -> 485[label="",style="dashed", color="magenta", weight=3];
278 -> 486[label="",style="dashed", color="magenta", weight=3];
279 -> 30[label="",style="dashed", color="red", weight=0];
279[label="yu30 == yu4000",fontsize=16,color="magenta"];279 -> 487[label="",style="dashed", color="magenta", weight=3];
279 -> 488[label="",style="dashed", color="magenta", weight=3];
280 -> 31[label="",style="dashed", color="red", weight=0];
280[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];280 -> 489[label="",style="dashed", color="magenta", weight=3];
280 -> 490[label="",style="dashed", color="magenta", weight=3];
281 -> 19[label="",style="dashed", color="red", weight=0];
281[label="yu31 == yu4001",fontsize=16,color="magenta"];281 -> 491[label="",style="dashed", color="magenta", weight=3];
281 -> 492[label="",style="dashed", color="magenta", weight=3];
282 -> 25[label="",style="dashed", color="red", weight=0];
282[label="yu31 == yu4001",fontsize=16,color="magenta"];282 -> 493[label="",style="dashed", color="magenta", weight=3];
282 -> 494[label="",style="dashed", color="magenta", weight=3];
283 -> 19[label="",style="dashed", color="red", weight=0];
283[label="yu30 == yu4000",fontsize=16,color="magenta"];283 -> 495[label="",style="dashed", color="magenta", weight=3];
283 -> 496[label="",style="dashed", color="magenta", weight=3];
284 -> 25[label="",style="dashed", color="red", weight=0];
284[label="yu30 == yu4000",fontsize=16,color="magenta"];284 -> 497[label="",style="dashed", color="magenta", weight=3];
284 -> 498[label="",style="dashed", color="magenta", weight=3];
285[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];286[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];287[label="yu4000",fontsize=16,color="green",shape="box"];288[label="yu30",fontsize=16,color="green",shape="box"];289[label="yu4000",fontsize=16,color="green",shape="box"];290[label="yu30",fontsize=16,color="green",shape="box"];291[label="yu4000",fontsize=16,color="green",shape="box"];292[label="yu30",fontsize=16,color="green",shape="box"];293[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];294[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];295[label="yu4000\n  Integral a",fontsize=16,color="green",shape="box"];296[label="yu30\n  Integral a",fontsize=16,color="green",shape="box"];297[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];298[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];299[label="yu4000",fontsize=16,color="green",shape="box"];300[label="yu30",fontsize=16,color="green",shape="box"];301[label="yu4000",fontsize=16,color="green",shape="box"];302[label="yu30",fontsize=16,color="green",shape="box"];303[label="yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];304[label="yu30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];305[label="yu4000",fontsize=16,color="green",shape="box"];306[label="yu30",fontsize=16,color="green",shape="box"];307[label="yu4000",fontsize=16,color="green",shape="box"];308[label="yu30",fontsize=16,color="green",shape="box"];309[label="yu4000",fontsize=16,color="green",shape="box"];310[label="yu30",fontsize=16,color="green",shape="box"];311[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];312[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];313[label="primEqInt (Pos (Succ yu300)) (Pos (Succ yu40000))",fontsize=16,color="black",shape="box"];313 -> 499[label="",style="solid", color="black", weight=3];
314[label="primEqInt (Pos (Succ yu300)) (Pos Zero)",fontsize=16,color="black",shape="box"];314 -> 500[label="",style="solid", color="black", weight=3];
315[label="False",fontsize=16,color="green",shape="box"];316[label="primEqInt (Pos Zero) (Pos (Succ yu40000))",fontsize=16,color="black",shape="box"];316 -> 501[label="",style="solid", color="black", weight=3];
317[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];317 -> 502[label="",style="solid", color="black", weight=3];
318[label="primEqInt (Pos Zero) (Neg (Succ yu40000))",fontsize=16,color="black",shape="box"];318 -> 503[label="",style="solid", color="black", weight=3];
319[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];319 -> 504[label="",style="solid", color="black", weight=3];
320[label="False",fontsize=16,color="green",shape="box"];321[label="primEqInt (Neg (Succ yu300)) (Neg (Succ yu40000))",fontsize=16,color="black",shape="box"];321 -> 505[label="",style="solid", color="black", weight=3];
322[label="primEqInt (Neg (Succ yu300)) (Neg Zero)",fontsize=16,color="black",shape="box"];322 -> 506[label="",style="solid", color="black", weight=3];
323[label="primEqInt (Neg Zero) (Pos (Succ yu40000))",fontsize=16,color="black",shape="box"];323 -> 507[label="",style="solid", color="black", weight=3];
324[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];324 -> 508[label="",style="solid", color="black", weight=3];
325[label="primEqInt (Neg Zero) (Neg (Succ yu40000))",fontsize=16,color="black",shape="box"];325 -> 509[label="",style="solid", color="black", weight=3];
326[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];326 -> 510[label="",style="solid", color="black", weight=3];
327[label="yu31 * yu4001",fontsize=16,color="black",shape="triangle"];327 -> 511[label="",style="solid", color="black", weight=3];
328 -> 327[label="",style="dashed", color="red", weight=0];
328[label="yu30 * yu4000",fontsize=16,color="magenta"];328 -> 512[label="",style="dashed", color="magenta", weight=3];
328 -> 513[label="",style="dashed", color="magenta", weight=3];
329[label="yu32 == yu4002\n  Eq a",fontsize=16,color="blue",shape="box"];997[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 997[label="",style="solid", color="blue", weight=9];
997 -> 514[label="",style="solid", color="blue", weight=3];
998[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 998[label="",style="solid", color="blue", weight=9];
998 -> 515[label="",style="solid", color="blue", weight=3];
999[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 999[label="",style="solid", color="blue", weight=9];
999 -> 516[label="",style="solid", color="blue", weight=3];
1000[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1000[label="",style="solid", color="blue", weight=9];
1000 -> 517[label="",style="solid", color="blue", weight=3];
1001[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1001[label="",style="solid", color="blue", weight=9];
1001 -> 518[label="",style="solid", color="blue", weight=3];
1002[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1002[label="",style="solid", color="blue", weight=9];
1002 -> 519[label="",style="solid", color="blue", weight=3];
1003[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1003[label="",style="solid", color="blue", weight=9];
1003 -> 520[label="",style="solid", color="blue", weight=3];
1004[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1004[label="",style="solid", color="blue", weight=9];
1004 -> 521[label="",style="solid", color="blue", weight=3];
1005[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1005[label="",style="solid", color="blue", weight=9];
1005 -> 522[label="",style="solid", color="blue", weight=3];
1006[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1006[label="",style="solid", color="blue", weight=9];
1006 -> 523[label="",style="solid", color="blue", weight=3];
1007[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1007[label="",style="solid", color="blue", weight=9];
1007 -> 524[label="",style="solid", color="blue", weight=3];
1008[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1008[label="",style="solid", color="blue", weight=9];
1008 -> 525[label="",style="solid", color="blue", weight=3];
1009[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1009[label="",style="solid", color="blue", weight=9];
1009 -> 526[label="",style="solid", color="blue", weight=3];
1010[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 1010[label="",style="solid", color="blue", weight=9];
1010 -> 527[label="",style="solid", color="blue", weight=3];
330[label="yu31 == yu4001\n  Eq a",fontsize=16,color="blue",shape="box"];1011[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1011[label="",style="solid", color="blue", weight=9];
1011 -> 528[label="",style="solid", color="blue", weight=3];
1012[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1012[label="",style="solid", color="blue", weight=9];
1012 -> 529[label="",style="solid", color="blue", weight=3];
1013[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1013[label="",style="solid", color="blue", weight=9];
1013 -> 530[label="",style="solid", color="blue", weight=3];
1014[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1014[label="",style="solid", color="blue", weight=9];
1014 -> 531[label="",style="solid", color="blue", weight=3];
1015[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1015[label="",style="solid", color="blue", weight=9];
1015 -> 532[label="",style="solid", color="blue", weight=3];
1016[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1016[label="",style="solid", color="blue", weight=9];
1016 -> 533[label="",style="solid", color="blue", weight=3];
1017[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1017[label="",style="solid", color="blue", weight=9];
1017 -> 534[label="",style="solid", color="blue", weight=3];
1018[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1018[label="",style="solid", color="blue", weight=9];
1018 -> 535[label="",style="solid", color="blue", weight=3];
1019[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1019[label="",style="solid", color="blue", weight=9];
1019 -> 536[label="",style="solid", color="blue", weight=3];
1020[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1020[label="",style="solid", color="blue", weight=9];
1020 -> 537[label="",style="solid", color="blue", weight=3];
1021[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1021[label="",style="solid", color="blue", weight=9];
1021 -> 538[label="",style="solid", color="blue", weight=3];
1022[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1022[label="",style="solid", color="blue", weight=9];
1022 -> 539[label="",style="solid", color="blue", weight=3];
1023[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1023[label="",style="solid", color="blue", weight=9];
1023 -> 540[label="",style="solid", color="blue", weight=3];
1024[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];330 -> 1024[label="",style="solid", color="blue", weight=9];
1024 -> 541[label="",style="solid", color="blue", weight=3];
331 -> 18[label="",style="dashed", color="red", weight=0];
331[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];331 -> 542[label="",style="dashed", color="magenta", weight=3];
331 -> 543[label="",style="dashed", color="magenta", weight=3];
332 -> 19[label="",style="dashed", color="red", weight=0];
332[label="yu30 == yu4000",fontsize=16,color="magenta"];332 -> 544[label="",style="dashed", color="magenta", weight=3];
332 -> 545[label="",style="dashed", color="magenta", weight=3];
333 -> 20[label="",style="dashed", color="red", weight=0];
333[label="yu30 == yu4000",fontsize=16,color="magenta"];333 -> 546[label="",style="dashed", color="magenta", weight=3];
333 -> 547[label="",style="dashed", color="magenta", weight=3];
334 -> 21[label="",style="dashed", color="red", weight=0];
334[label="yu30 == yu4000",fontsize=16,color="magenta"];334 -> 548[label="",style="dashed", color="magenta", weight=3];
334 -> 549[label="",style="dashed", color="magenta", weight=3];
335 -> 22[label="",style="dashed", color="red", weight=0];
335[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];335 -> 550[label="",style="dashed", color="magenta", weight=3];
335 -> 551[label="",style="dashed", color="magenta", weight=3];
336 -> 23[label="",style="dashed", color="red", weight=0];
336[label="yu30 == yu4000\n  Integral a",fontsize=16,color="magenta"];336 -> 552[label="",style="dashed", color="magenta", weight=3];
336 -> 553[label="",style="dashed", color="magenta", weight=3];
337 -> 24[label="",style="dashed", color="red", weight=0];
337[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];337 -> 554[label="",style="dashed", color="magenta", weight=3];
337 -> 555[label="",style="dashed", color="magenta", weight=3];
338 -> 25[label="",style="dashed", color="red", weight=0];
338[label="yu30 == yu4000",fontsize=16,color="magenta"];338 -> 556[label="",style="dashed", color="magenta", weight=3];
338 -> 557[label="",style="dashed", color="magenta", weight=3];
339 -> 26[label="",style="dashed", color="red", weight=0];
339[label="yu30 == yu4000",fontsize=16,color="magenta"];339 -> 558[label="",style="dashed", color="magenta", weight=3];
339 -> 559[label="",style="dashed", color="magenta", weight=3];
340 -> 27[label="",style="dashed", color="red", weight=0];
340[label="yu30 == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];340 -> 560[label="",style="dashed", color="magenta", weight=3];
340 -> 561[label="",style="dashed", color="magenta", weight=3];
341 -> 28[label="",style="dashed", color="red", weight=0];
341[label="yu30 == yu4000",fontsize=16,color="magenta"];341 -> 562[label="",style="dashed", color="magenta", weight=3];
341 -> 563[label="",style="dashed", color="magenta", weight=3];
342 -> 29[label="",style="dashed", color="red", weight=0];
342[label="yu30 == yu4000",fontsize=16,color="magenta"];342 -> 564[label="",style="dashed", color="magenta", weight=3];
342 -> 565[label="",style="dashed", color="magenta", weight=3];
343 -> 30[label="",style="dashed", color="red", weight=0];
343[label="yu30 == yu4000",fontsize=16,color="magenta"];343 -> 566[label="",style="dashed", color="magenta", weight=3];
343 -> 567[label="",style="dashed", color="magenta", weight=3];
344 -> 31[label="",style="dashed", color="red", weight=0];
344[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="magenta"];344 -> 568[label="",style="dashed", color="magenta", weight=3];
344 -> 569[label="",style="dashed", color="magenta", weight=3];
345 -> 327[label="",style="dashed", color="red", weight=0];
345[label="yu31 * yu4001",fontsize=16,color="magenta"];345 -> 570[label="",style="dashed", color="magenta", weight=3];
345 -> 571[label="",style="dashed", color="magenta", weight=3];
346 -> 327[label="",style="dashed", color="red", weight=0];
346[label="yu30 * yu4000",fontsize=16,color="magenta"];346 -> 572[label="",style="dashed", color="magenta", weight=3];
346 -> 573[label="",style="dashed", color="magenta", weight=3];
347[label="primEqNat (Succ yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1041[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];347 -> 1041[label="",style="solid", color="burlywood", weight=9];
1041 -> 574[label="",style="solid", color="burlywood", weight=3];
1042[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];347 -> 1042[label="",style="solid", color="burlywood", weight=9];
1042 -> 575[label="",style="solid", color="burlywood", weight=3];
348[label="primEqNat Zero yu4000",fontsize=16,color="burlywood",shape="box"];1043[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];348 -> 1043[label="",style="solid", color="burlywood", weight=9];
1043 -> 576[label="",style="solid", color="burlywood", weight=3];
1044[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];348 -> 1044[label="",style="solid", color="burlywood", weight=9];
1044 -> 577[label="",style="solid", color="burlywood", weight=3];
349[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];350[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];351[label="yu4000",fontsize=16,color="green",shape="box"];352[label="yu30",fontsize=16,color="green",shape="box"];353[label="yu4000",fontsize=16,color="green",shape="box"];354[label="yu30",fontsize=16,color="green",shape="box"];355[label="yu4000",fontsize=16,color="green",shape="box"];356[label="yu30",fontsize=16,color="green",shape="box"];357[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];358[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];359[label="yu4000\n  Integral a",fontsize=16,color="green",shape="box"];360[label="yu30\n  Integral a",fontsize=16,color="green",shape="box"];361[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];362[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];363[label="yu4000",fontsize=16,color="green",shape="box"];364[label="yu30",fontsize=16,color="green",shape="box"];365[label="yu4000",fontsize=16,color="green",shape="box"];366[label="yu30",fontsize=16,color="green",shape="box"];367[label="yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];368[label="yu30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];369[label="yu4000",fontsize=16,color="green",shape="box"];370[label="yu30",fontsize=16,color="green",shape="box"];371[label="yu4000",fontsize=16,color="green",shape="box"];372[label="yu30",fontsize=16,color="green",shape="box"];373[label="yu4000",fontsize=16,color="green",shape="box"];374[label="yu30",fontsize=16,color="green",shape="box"];375[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];376[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];377[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];378[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];379[label="yu4000",fontsize=16,color="green",shape="box"];380[label="yu30",fontsize=16,color="green",shape="box"];381[label="yu4000",fontsize=16,color="green",shape="box"];382[label="yu30",fontsize=16,color="green",shape="box"];383[label="yu4000",fontsize=16,color="green",shape="box"];384[label="yu30",fontsize=16,color="green",shape="box"];385[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];386[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];387[label="yu4000\n  Integral a",fontsize=16,color="green",shape="box"];388[label="yu30\n  Integral a",fontsize=16,color="green",shape="box"];389[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];390[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];391[label="yu4000",fontsize=16,color="green",shape="box"];392[label="yu30",fontsize=16,color="green",shape="box"];393[label="yu4000",fontsize=16,color="green",shape="box"];394[label="yu30",fontsize=16,color="green",shape="box"];395[label="yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];396[label="yu30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];397[label="yu4000",fontsize=16,color="green",shape="box"];398[label="yu30",fontsize=16,color="green",shape="box"];399[label="yu4000",fontsize=16,color="green",shape="box"];400[label="yu30",fontsize=16,color="green",shape="box"];401[label="yu4000",fontsize=16,color="green",shape="box"];402[label="yu30",fontsize=16,color="green",shape="box"];403[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];404[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];405[label="yu4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];406[label="yu31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];407[label="yu4001",fontsize=16,color="green",shape="box"];408[label="yu31",fontsize=16,color="green",shape="box"];409[label="yu4001",fontsize=16,color="green",shape="box"];410[label="yu31",fontsize=16,color="green",shape="box"];411[label="yu4001",fontsize=16,color="green",shape="box"];412[label="yu31",fontsize=16,color="green",shape="box"];413[label="yu4001\n  Eq a",fontsize=16,color="green",shape="box"];414[label="yu31\n  Eq a",fontsize=16,color="green",shape="box"];415[label="yu4001\n  Integral a",fontsize=16,color="green",shape="box"];416[label="yu31\n  Integral a",fontsize=16,color="green",shape="box"];417[label="yu4001\n  Eq a",fontsize=16,color="green",shape="box"];418[label="yu31\n  Eq a",fontsize=16,color="green",shape="box"];419[label="yu4001",fontsize=16,color="green",shape="box"];420[label="yu31",fontsize=16,color="green",shape="box"];421[label="yu4001",fontsize=16,color="green",shape="box"];422[label="yu31",fontsize=16,color="green",shape="box"];423[label="yu4001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];424[label="yu31\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];425[label="yu4001",fontsize=16,color="green",shape="box"];426[label="yu31",fontsize=16,color="green",shape="box"];427[label="yu4001",fontsize=16,color="green",shape="box"];428[label="yu31",fontsize=16,color="green",shape="box"];429[label="yu4001",fontsize=16,color="green",shape="box"];430[label="yu31",fontsize=16,color="green",shape="box"];431[label="yu4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];432[label="yu31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];433[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];434[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];435[label="yu4000",fontsize=16,color="green",shape="box"];436[label="yu30",fontsize=16,color="green",shape="box"];437[label="yu4000",fontsize=16,color="green",shape="box"];438[label="yu30",fontsize=16,color="green",shape="box"];439[label="yu4000",fontsize=16,color="green",shape="box"];440[label="yu30",fontsize=16,color="green",shape="box"];441[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];442[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];443[label="yu4000\n  Integral a",fontsize=16,color="green",shape="box"];444[label="yu30\n  Integral a",fontsize=16,color="green",shape="box"];445[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];446[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];447[label="yu4000",fontsize=16,color="green",shape="box"];448[label="yu30",fontsize=16,color="green",shape="box"];449[label="yu4000",fontsize=16,color="green",shape="box"];450[label="yu30",fontsize=16,color="green",shape="box"];451[label="yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];452[label="yu30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];453[label="yu4000",fontsize=16,color="green",shape="box"];454[label="yu30",fontsize=16,color="green",shape="box"];455[label="yu4000",fontsize=16,color="green",shape="box"];456[label="yu30",fontsize=16,color="green",shape="box"];457[label="yu4000",fontsize=16,color="green",shape="box"];458[label="yu30",fontsize=16,color="green",shape="box"];459[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];460[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];461[label="False",fontsize=16,color="green",shape="box"];462[label="yu28",fontsize=16,color="green",shape="box"];463[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];464[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];465[label="yu4000",fontsize=16,color="green",shape="box"];466[label="yu30",fontsize=16,color="green",shape="box"];467[label="yu4000",fontsize=16,color="green",shape="box"];468[label="yu30",fontsize=16,color="green",shape="box"];469[label="yu4000",fontsize=16,color="green",shape="box"];470[label="yu30",fontsize=16,color="green",shape="box"];471[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];472[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];473[label="yu4000\n  Integral a",fontsize=16,color="green",shape="box"];474[label="yu30\n  Integral a",fontsize=16,color="green",shape="box"];475[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];476[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];477[label="yu4000",fontsize=16,color="green",shape="box"];478[label="yu30",fontsize=16,color="green",shape="box"];479[label="yu4000",fontsize=16,color="green",shape="box"];480[label="yu30",fontsize=16,color="green",shape="box"];481[label="yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];482[label="yu30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];483[label="yu4000",fontsize=16,color="green",shape="box"];484[label="yu30",fontsize=16,color="green",shape="box"];485[label="yu4000",fontsize=16,color="green",shape="box"];486[label="yu30",fontsize=16,color="green",shape="box"];487[label="yu4000",fontsize=16,color="green",shape="box"];488[label="yu30",fontsize=16,color="green",shape="box"];489[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];490[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];491[label="yu4001",fontsize=16,color="green",shape="box"];492[label="yu31",fontsize=16,color="green",shape="box"];493[label="yu4001",fontsize=16,color="green",shape="box"];494[label="yu31",fontsize=16,color="green",shape="box"];495[label="yu4000",fontsize=16,color="green",shape="box"];496[label="yu30",fontsize=16,color="green",shape="box"];497[label="yu4000",fontsize=16,color="green",shape="box"];498[label="yu30",fontsize=16,color="green",shape="box"];499 -> 177[label="",style="dashed", color="red", weight=0];
499[label="primEqNat yu300 yu40000",fontsize=16,color="magenta"];499 -> 578[label="",style="dashed", color="magenta", weight=3];
499 -> 579[label="",style="dashed", color="magenta", weight=3];
500[label="False",fontsize=16,color="green",shape="box"];501[label="False",fontsize=16,color="green",shape="box"];502[label="True",fontsize=16,color="green",shape="box"];503[label="False",fontsize=16,color="green",shape="box"];504[label="True",fontsize=16,color="green",shape="box"];505 -> 177[label="",style="dashed", color="red", weight=0];
505[label="primEqNat yu300 yu40000",fontsize=16,color="magenta"];505 -> 580[label="",style="dashed", color="magenta", weight=3];
505 -> 581[label="",style="dashed", color="magenta", weight=3];
506[label="False",fontsize=16,color="green",shape="box"];507[label="False",fontsize=16,color="green",shape="box"];508[label="True",fontsize=16,color="green",shape="box"];509[label="False",fontsize=16,color="green",shape="box"];510[label="True",fontsize=16,color="green",shape="box"];511[label="primMulInt yu31 yu4001",fontsize=16,color="burlywood",shape="box"];1047[label="yu31/Pos yu310",fontsize=10,color="white",style="solid",shape="box"];511 -> 1047[label="",style="solid", color="burlywood", weight=9];
1047 -> 582[label="",style="solid", color="burlywood", weight=3];
1048[label="yu31/Neg yu310",fontsize=10,color="white",style="solid",shape="box"];511 -> 1048[label="",style="solid", color="burlywood", weight=9];
1048 -> 583[label="",style="solid", color="burlywood", weight=3];
512[label="yu4000",fontsize=16,color="green",shape="box"];513[label="yu30",fontsize=16,color="green",shape="box"];514 -> 18[label="",style="dashed", color="red", weight=0];
514[label="yu32 == yu4002\n  Eq a  Eq b",fontsize=16,color="magenta"];514 -> 584[label="",style="dashed", color="magenta", weight=3];
514 -> 585[label="",style="dashed", color="magenta", weight=3];
515 -> 19[label="",style="dashed", color="red", weight=0];
515[label="yu32 == yu4002",fontsize=16,color="magenta"];515 -> 586[label="",style="dashed", color="magenta", weight=3];
515 -> 587[label="",style="dashed", color="magenta", weight=3];
516 -> 20[label="",style="dashed", color="red", weight=0];
516[label="yu32 == yu4002",fontsize=16,color="magenta"];516 -> 588[label="",style="dashed", color="magenta", weight=3];
516 -> 589[label="",style="dashed", color="magenta", weight=3];
517 -> 21[label="",style="dashed", color="red", weight=0];
517[label="yu32 == yu4002",fontsize=16,color="magenta"];517 -> 590[label="",style="dashed", color="magenta", weight=3];
517 -> 591[label="",style="dashed", color="magenta", weight=3];
518 -> 22[label="",style="dashed", color="red", weight=0];
518[label="yu32 == yu4002\n  Eq a",fontsize=16,color="magenta"];518 -> 592[label="",style="dashed", color="magenta", weight=3];
518 -> 593[label="",style="dashed", color="magenta", weight=3];
519 -> 23[label="",style="dashed", color="red", weight=0];
519[label="yu32 == yu4002\n  Integral a",fontsize=16,color="magenta"];519 -> 594[label="",style="dashed", color="magenta", weight=3];
519 -> 595[label="",style="dashed", color="magenta", weight=3];
520 -> 24[label="",style="dashed", color="red", weight=0];
520[label="yu32 == yu4002\n  Eq a",fontsize=16,color="magenta"];520 -> 596[label="",style="dashed", color="magenta", weight=3];
520 -> 597[label="",style="dashed", color="magenta", weight=3];
521 -> 25[label="",style="dashed", color="red", weight=0];
521[label="yu32 == yu4002",fontsize=16,color="magenta"];521 -> 598[label="",style="dashed", color="magenta", weight=3];
521 -> 599[label="",style="dashed", color="magenta", weight=3];
522 -> 26[label="",style="dashed", color="red", weight=0];
522[label="yu32 == yu4002",fontsize=16,color="magenta"];522 -> 600[label="",style="dashed", color="magenta", weight=3];
522 -> 601[label="",style="dashed", color="magenta", weight=3];
523 -> 27[label="",style="dashed", color="red", weight=0];
523[label="yu32 == yu4002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];523 -> 602[label="",style="dashed", color="magenta", weight=3];
523 -> 603[label="",style="dashed", color="magenta", weight=3];
524 -> 28[label="",style="dashed", color="red", weight=0];
524[label="yu32 == yu4002",fontsize=16,color="magenta"];524 -> 604[label="",style="dashed", color="magenta", weight=3];
524 -> 605[label="",style="dashed", color="magenta", weight=3];
525 -> 29[label="",style="dashed", color="red", weight=0];
525[label="yu32 == yu4002",fontsize=16,color="magenta"];525 -> 606[label="",style="dashed", color="magenta", weight=3];
525 -> 607[label="",style="dashed", color="magenta", weight=3];
526 -> 30[label="",style="dashed", color="red", weight=0];
526[label="yu32 == yu4002",fontsize=16,color="magenta"];526 -> 608[label="",style="dashed", color="magenta", weight=3];
526 -> 609[label="",style="dashed", color="magenta", weight=3];
527 -> 31[label="",style="dashed", color="red", weight=0];
527[label="yu32 == yu4002\n  Eq a  Eq b",fontsize=16,color="magenta"];527 -> 610[label="",style="dashed", color="magenta", weight=3];
527 -> 611[label="",style="dashed", color="magenta", weight=3];
528 -> 18[label="",style="dashed", color="red", weight=0];
528[label="yu31 == yu4001\n  Eq a  Eq b",fontsize=16,color="magenta"];528 -> 612[label="",style="dashed", color="magenta", weight=3];
528 -> 613[label="",style="dashed", color="magenta", weight=3];
529 -> 19[label="",style="dashed", color="red", weight=0];
529[label="yu31 == yu4001",fontsize=16,color="magenta"];529 -> 614[label="",style="dashed", color="magenta", weight=3];
529 -> 615[label="",style="dashed", color="magenta", weight=3];
530 -> 20[label="",style="dashed", color="red", weight=0];
530[label="yu31 == yu4001",fontsize=16,color="magenta"];530 -> 616[label="",style="dashed", color="magenta", weight=3];
530 -> 617[label="",style="dashed", color="magenta", weight=3];
531 -> 21[label="",style="dashed", color="red", weight=0];
531[label="yu31 == yu4001",fontsize=16,color="magenta"];531 -> 618[label="",style="dashed", color="magenta", weight=3];
531 -> 619[label="",style="dashed", color="magenta", weight=3];
532 -> 22[label="",style="dashed", color="red", weight=0];
532[label="yu31 == yu4001\n  Eq a",fontsize=16,color="magenta"];532 -> 620[label="",style="dashed", color="magenta", weight=3];
532 -> 621[label="",style="dashed", color="magenta", weight=3];
533 -> 23[label="",style="dashed", color="red", weight=0];
533[label="yu31 == yu4001\n  Integral a",fontsize=16,color="magenta"];533 -> 622[label="",style="dashed", color="magenta", weight=3];
533 -> 623[label="",style="dashed", color="magenta", weight=3];
534 -> 24[label="",style="dashed", color="red", weight=0];
534[label="yu31 == yu4001\n  Eq a",fontsize=16,color="magenta"];534 -> 624[label="",style="dashed", color="magenta", weight=3];
534 -> 625[label="",style="dashed", color="magenta", weight=3];
535 -> 25[label="",style="dashed", color="red", weight=0];
535[label="yu31 == yu4001",fontsize=16,color="magenta"];535 -> 626[label="",style="dashed", color="magenta", weight=3];
535 -> 627[label="",style="dashed", color="magenta", weight=3];
536 -> 26[label="",style="dashed", color="red", weight=0];
536[label="yu31 == yu4001",fontsize=16,color="magenta"];536 -> 628[label="",style="dashed", color="magenta", weight=3];
536 -> 629[label="",style="dashed", color="magenta", weight=3];
537 -> 27[label="",style="dashed", color="red", weight=0];
537[label="yu31 == yu4001\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];537 -> 630[label="",style="dashed", color="magenta", weight=3];
537 -> 631[label="",style="dashed", color="magenta", weight=3];
538 -> 28[label="",style="dashed", color="red", weight=0];
538[label="yu31 == yu4001",fontsize=16,color="magenta"];538 -> 632[label="",style="dashed", color="magenta", weight=3];
538 -> 633[label="",style="dashed", color="magenta", weight=3];
539 -> 29[label="",style="dashed", color="red", weight=0];
539[label="yu31 == yu4001",fontsize=16,color="magenta"];539 -> 634[label="",style="dashed", color="magenta", weight=3];
539 -> 635[label="",style="dashed", color="magenta", weight=3];
540 -> 30[label="",style="dashed", color="red", weight=0];
540[label="yu31 == yu4001",fontsize=16,color="magenta"];540 -> 636[label="",style="dashed", color="magenta", weight=3];
540 -> 637[label="",style="dashed", color="magenta", weight=3];
541 -> 31[label="",style="dashed", color="red", weight=0];
541[label="yu31 == yu4001\n  Eq a  Eq b",fontsize=16,color="magenta"];541 -> 638[label="",style="dashed", color="magenta", weight=3];
541 -> 639[label="",style="dashed", color="magenta", weight=3];
542[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];543[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];544[label="yu4000",fontsize=16,color="green",shape="box"];545[label="yu30",fontsize=16,color="green",shape="box"];546[label="yu4000",fontsize=16,color="green",shape="box"];547[label="yu30",fontsize=16,color="green",shape="box"];548[label="yu4000",fontsize=16,color="green",shape="box"];549[label="yu30",fontsize=16,color="green",shape="box"];550[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];551[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];552[label="yu4000\n  Integral a",fontsize=16,color="green",shape="box"];553[label="yu30\n  Integral a",fontsize=16,color="green",shape="box"];554[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];555[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];556[label="yu4000",fontsize=16,color="green",shape="box"];557[label="yu30",fontsize=16,color="green",shape="box"];558[label="yu4000",fontsize=16,color="green",shape="box"];559[label="yu30",fontsize=16,color="green",shape="box"];560[label="yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];561[label="yu30\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];562[label="yu4000",fontsize=16,color="green",shape="box"];563[label="yu30",fontsize=16,color="green",shape="box"];564[label="yu4000",fontsize=16,color="green",shape="box"];565[label="yu30",fontsize=16,color="green",shape="box"];566[label="yu4000",fontsize=16,color="green",shape="box"];567[label="yu30",fontsize=16,color="green",shape="box"];568[label="yu4000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];569[label="yu30\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];570[label="yu4001",fontsize=16,color="green",shape="box"];571[label="yu31",fontsize=16,color="green",shape="box"];572[label="yu4000",fontsize=16,color="green",shape="box"];573[label="yu30",fontsize=16,color="green",shape="box"];574[label="primEqNat (Succ yu300) (Succ yu40000)",fontsize=16,color="black",shape="box"];574 -> 640[label="",style="solid", color="black", weight=3];
575[label="primEqNat (Succ yu300) Zero",fontsize=16,color="black",shape="box"];575 -> 641[label="",style="solid", color="black", weight=3];
576[label="primEqNat Zero (Succ yu40000)",fontsize=16,color="black",shape="box"];576 -> 642[label="",style="solid", color="black", weight=3];
577[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];577 -> 643[label="",style="solid", color="black", weight=3];
578[label="yu40000",fontsize=16,color="green",shape="box"];579[label="yu300",fontsize=16,color="green",shape="box"];580[label="yu40000",fontsize=16,color="green",shape="box"];581[label="yu300",fontsize=16,color="green",shape="box"];582[label="primMulInt (Pos yu310) yu4001",fontsize=16,color="burlywood",shape="box"];1077[label="yu4001/Pos yu40010",fontsize=10,color="white",style="solid",shape="box"];582 -> 1077[label="",style="solid", color="burlywood", weight=9];
1077 -> 644[label="",style="solid", color="burlywood", weight=3];
1078[label="yu4001/Neg yu40010",fontsize=10,color="white",style="solid",shape="box"];582 -> 1078[label="",style="solid", color="burlywood", weight=9];
1078 -> 645[label="",style="solid", color="burlywood", weight=3];
583[label="primMulInt (Neg yu310) yu4001",fontsize=16,color="burlywood",shape="box"];1079[label="yu4001/Pos yu40010",fontsize=10,color="white",style="solid",shape="box"];583 -> 1079[label="",style="solid", color="burlywood", weight=9];
1079 -> 646[label="",style="solid", color="burlywood", weight=3];
1080[label="yu4001/Neg yu40010",fontsize=10,color="white",style="solid",shape="box"];583 -> 1080[label="",style="solid", color="burlywood", weight=9];
1080 -> 647[label="",style="solid", color="burlywood", weight=3];
584[label="yu4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];585[label="yu32\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];586[label="yu4002",fontsize=16,color="green",shape="box"];587[label="yu32",fontsize=16,color="green",shape="box"];588[label="yu4002",fontsize=16,color="green",shape="box"];589[label="yu32",fontsize=16,color="green",shape="box"];590[label="yu4002",fontsize=16,color="green",shape="box"];591[label="yu32",fontsize=16,color="green",shape="box"];592[label="yu4002\n  Eq a",fontsize=16,color="green",shape="box"];593[label="yu32\n  Eq a",fontsize=16,color="green",shape="box"];594[label="yu4002\n  Integral a",fontsize=16,color="green",shape="box"];595[label="yu32\n  Integral a",fontsize=16,color="green",shape="box"];596[label="yu4002\n  Eq a",fontsize=16,color="green",shape="box"];597[label="yu32\n  Eq a",fontsize=16,color="green",shape="box"];598[label="yu4002",fontsize=16,color="green",shape="box"];599[label="yu32",fontsize=16,color="green",shape="box"];600[label="yu4002",fontsize=16,color="green",shape="box"];601[label="yu32",fontsize=16,color="green",shape="box"];602[label="yu4002\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];603[label="yu32\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];604[label="yu4002",fontsize=16,color="green",shape="box"];605[label="yu32",fontsize=16,color="green",shape="box"];606[label="yu4002",fontsize=16,color="green",shape="box"];607[label="yu32",fontsize=16,color="green",shape="box"];608[label="yu4002",fontsize=16,color="green",shape="box"];609[label="yu32",fontsize=16,color="green",shape="box"];610[label="yu4002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];611[label="yu32\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];612[label="yu4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];613[label="yu31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];614[label="yu4001",fontsize=16,color="green",shape="box"];615[label="yu31",fontsize=16,color="green",shape="box"];616[label="yu4001",fontsize=16,color="green",shape="box"];617[label="yu31",fontsize=16,color="green",shape="box"];618[label="yu4001",fontsize=16,color="green",shape="box"];619[label="yu31",fontsize=16,color="green",shape="box"];620[label="yu4001\n  Eq a",fontsize=16,color="green",shape="box"];621[label="yu31\n  Eq a",fontsize=16,color="green",shape="box"];622[label="yu4001\n  Integral a",fontsize=16,color="green",shape="box"];623[label="yu31\n  Integral a",fontsize=16,color="green",shape="box"];624[label="yu4001\n  Eq a",fontsize=16,color="green",shape="box"];625[label="yu31\n  Eq a",fontsize=16,color="green",shape="box"];626[label="yu4001",fontsize=16,color="green",shape="box"];627[label="yu31",fontsize=16,color="green",shape="box"];628[label="yu4001",fontsize=16,color="green",shape="box"];629[label="yu31",fontsize=16,color="green",shape="box"];630[label="yu4001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];631[label="yu31\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];632[label="yu4001",fontsize=16,color="green",shape="box"];633[label="yu31",fontsize=16,color="green",shape="box"];634[label="yu4001",fontsize=16,color="green",shape="box"];635[label="yu31",fontsize=16,color="green",shape="box"];636[label="yu4001",fontsize=16,color="green",shape="box"];637[label="yu31",fontsize=16,color="green",shape="box"];638[label="yu4001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];639[label="yu31\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];640 -> 177[label="",style="dashed", color="red", weight=0];
640[label="primEqNat yu300 yu40000",fontsize=16,color="magenta"];640 -> 648[label="",style="dashed", color="magenta", weight=3];
640 -> 649[label="",style="dashed", color="magenta", weight=3];
641[label="False",fontsize=16,color="green",shape="box"];642[label="False",fontsize=16,color="green",shape="box"];643[label="True",fontsize=16,color="green",shape="box"];644[label="primMulInt (Pos yu310) (Pos yu40010)",fontsize=16,color="black",shape="box"];644 -> 650[label="",style="solid", color="black", weight=3];
645[label="primMulInt (Pos yu310) (Neg yu40010)",fontsize=16,color="black",shape="box"];645 -> 651[label="",style="solid", color="black", weight=3];
646[label="primMulInt (Neg yu310) (Pos yu40010)",fontsize=16,color="black",shape="box"];646 -> 652[label="",style="solid", color="black", weight=3];
647[label="primMulInt (Neg yu310) (Neg yu40010)",fontsize=16,color="black",shape="box"];647 -> 653[label="",style="solid", color="black", weight=3];
648[label="yu40000",fontsize=16,color="green",shape="box"];649[label="yu300",fontsize=16,color="green",shape="box"];650[label="Pos (primMulNat yu310 yu40010)",fontsize=16,color="green",shape="box"];650 -> 654[label="",style="dashed", color="green", weight=3];
651[label="Neg (primMulNat yu310 yu40010)",fontsize=16,color="green",shape="box"];651 -> 655[label="",style="dashed", color="green", weight=3];
652[label="Neg (primMulNat yu310 yu40010)",fontsize=16,color="green",shape="box"];652 -> 656[label="",style="dashed", color="green", weight=3];
653[label="Pos (primMulNat yu310 yu40010)",fontsize=16,color="green",shape="box"];653 -> 657[label="",style="dashed", color="green", weight=3];
654[label="primMulNat yu310 yu40010",fontsize=16,color="burlywood",shape="triangle"];1082[label="yu310/Succ yu3100",fontsize=10,color="white",style="solid",shape="box"];654 -> 1082[label="",style="solid", color="burlywood", weight=9];
1082 -> 658[label="",style="solid", color="burlywood", weight=3];
1083[label="yu310/Zero",fontsize=10,color="white",style="solid",shape="box"];654 -> 1083[label="",style="solid", color="burlywood", weight=9];
1083 -> 659[label="",style="solid", color="burlywood", weight=3];
655 -> 654[label="",style="dashed", color="red", weight=0];
655[label="primMulNat yu310 yu40010",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 yu310 yu40010",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 yu310 yu40010",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 yu3100) yu40010",fontsize=16,color="burlywood",shape="box"];1087[label="yu40010/Succ yu400100",fontsize=10,color="white",style="solid",shape="box"];658 -> 1087[label="",style="solid", color="burlywood", weight=9];
1087 -> 664[label="",style="solid", color="burlywood", weight=3];
1088[label="yu40010/Zero",fontsize=10,color="white",style="solid",shape="box"];658 -> 1088[label="",style="solid", color="burlywood", weight=9];
1088 -> 665[label="",style="solid", color="burlywood", weight=3];
659[label="primMulNat Zero yu40010",fontsize=16,color="burlywood",shape="box"];1089[label="yu40010/Succ yu400100",fontsize=10,color="white",style="solid",shape="box"];659 -> 1089[label="",style="solid", color="burlywood", weight=9];
1089 -> 666[label="",style="solid", color="burlywood", weight=3];
1090[label="yu40010/Zero",fontsize=10,color="white",style="solid",shape="box"];659 -> 1090[label="",style="solid", color="burlywood", weight=9];
1090 -> 667[label="",style="solid", color="burlywood", weight=3];
660[label="yu40010",fontsize=16,color="green",shape="box"];661[label="yu310",fontsize=16,color="green",shape="box"];662[label="yu40010",fontsize=16,color="green",shape="box"];663[label="yu310",fontsize=16,color="green",shape="box"];664[label="primMulNat (Succ yu3100) (Succ yu400100)",fontsize=16,color="black",shape="box"];664 -> 668[label="",style="solid", color="black", weight=3];
665[label="primMulNat (Succ yu3100) Zero",fontsize=16,color="black",shape="box"];665 -> 669[label="",style="solid", color="black", weight=3];
666[label="primMulNat Zero (Succ yu400100)",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 yu3100 (Succ yu400100)) (Succ yu400100)",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 yu3100 (Succ yu400100)",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 yu29 (Succ yu400100)",fontsize=16,color="burlywood",shape="triangle"];1093[label="yu29/Succ yu290",fontsize=10,color="white",style="solid",shape="box"];672 -> 1093[label="",style="solid", color="burlywood", weight=9];
1093 -> 676[label="",style="solid", color="burlywood", weight=3];
1094[label="yu29/Zero",fontsize=10,color="white",style="solid",shape="box"];672 -> 1094[label="",style="solid", color="burlywood", weight=9];
1094 -> 677[label="",style="solid", color="burlywood", weight=3];
674[label="Succ yu400100",fontsize=16,color="green",shape="box"];675[label="yu3100",fontsize=16,color="green",shape="box"];676[label="primPlusNat (Succ yu290) (Succ yu400100)",fontsize=16,color="black",shape="box"];676 -> 678[label="",style="solid", color="black", weight=3];
677[label="primPlusNat Zero (Succ yu400100)",fontsize=16,color="black",shape="box"];677 -> 679[label="",style="solid", color="black", weight=3];
678[label="Succ (Succ (primPlusNat yu290 yu400100))",fontsize=16,color="green",shape="box"];678 -> 680[label="",style="dashed", color="green", weight=3];
679[label="Succ yu400100",fontsize=16,color="green",shape="box"];680[label="primPlusNat yu290 yu400100",fontsize=16,color="burlywood",shape="triangle"];1095[label="yu290/Succ yu2900",fontsize=10,color="white",style="solid",shape="box"];680 -> 1095[label="",style="solid", color="burlywood", weight=9];
1095 -> 681[label="",style="solid", color="burlywood", weight=3];
1096[label="yu290/Zero",fontsize=10,color="white",style="solid",shape="box"];680 -> 1096[label="",style="solid", color="burlywood", weight=9];
1096 -> 682[label="",style="solid", color="burlywood", weight=3];
681[label="primPlusNat (Succ yu2900) yu400100",fontsize=16,color="burlywood",shape="box"];1097[label="yu400100/Succ yu4001000",fontsize=10,color="white",style="solid",shape="box"];681 -> 1097[label="",style="solid", color="burlywood", weight=9];
1097 -> 683[label="",style="solid", color="burlywood", weight=3];
1098[label="yu400100/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 1098[label="",style="solid", color="burlywood", weight=9];
1098 -> 684[label="",style="solid", color="burlywood", weight=3];
682[label="primPlusNat Zero yu400100",fontsize=16,color="burlywood",shape="box"];1099[label="yu400100/Succ yu4001000",fontsize=10,color="white",style="solid",shape="box"];682 -> 1099[label="",style="solid", color="burlywood", weight=9];
1099 -> 685[label="",style="solid", color="burlywood", weight=3];
1100[label="yu400100/Zero",fontsize=10,color="white",style="solid",shape="box"];682 -> 1100[label="",style="solid", color="burlywood", weight=9];
1100 -> 686[label="",style="solid", color="burlywood", weight=3];
683[label="primPlusNat (Succ yu2900) (Succ yu4001000)",fontsize=16,color="black",shape="box"];683 -> 687[label="",style="solid", color="black", weight=3];
684[label="primPlusNat (Succ yu2900) Zero",fontsize=16,color="black",shape="box"];684 -> 688[label="",style="solid", color="black", weight=3];
685[label="primPlusNat Zero (Succ yu4001000)",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 yu2900 yu4001000))",fontsize=16,color="green",shape="box"];687 -> 691[label="",style="dashed", color="green", weight=3];
688[label="Succ yu2900",fontsize=16,color="green",shape="box"];689[label="Succ yu4001000",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 yu2900 yu4001000",fontsize=16,color="magenta"];691 -> 692[label="",style="dashed", color="magenta", weight=3];
691 -> 693[label="",style="dashed", color="magenta", weight=3];
692[label="yu2900",fontsize=16,color="green",shape="box"];693[label="yu4001000",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primPlusNat(Succ(yu2900), Succ(yu4001000)) → new_primPlusNat(yu2900, yu4001000)

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(yu2900), Succ(yu4001000)) → new_primPlusNat(yu2900, yu4001000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primMulNat(Succ(yu3100), Succ(yu400100)) → new_primMulNat(yu3100, Succ(yu400100))

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

new_primMulNat(Succ(yu3100), Succ(yu400100)) → new_primMulNat(yu3100, Succ(yu400100))
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

new_primEqNat(Succ(yu300), Succ(yu40000)) → new_primEqNat(yu300, yu40000)

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

new_primEqNat(Succ(yu300), Succ(yu40000)) → new_primEqNat(yu300, yu40000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_@2, cc), cd), ce) → new_esEs(yu30, yu4000, cc, cd)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_[], cf), ce) → new_esEs0(yu30, yu4000, cf)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(ty_Maybe, baa), hg) → new_esEs1(yu31, yu4001, baa)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_Maybe, bbb), gc, hg) → new_esEs1(yu30, yu4000, bbb)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(app(ty_@3, bbc), bbd), bbe), gc, hg) → new_esEs2(yu30, yu4000, bbc, bbd, bbe)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(ty_[], gf)) → new_esEs0(yu32, yu4002, gf)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(app(ty_Either, bae), baf), hg) → new_esEs3(yu31, yu4001, bae, baf)
new_esEs3(Left(yu30), Left(yu4000), app(ty_Maybe, bcd), bcb) → new_esEs1(yu30, yu4000, bcd)
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(app(app(ty_@3, ec), ed), ee)) → new_esEs2(yu30, yu4000, ec, ed, ee)
new_esEs1(Just(yu30), Just(yu4000), app(app(ty_@2, eh), fa)) → new_esEs(yu30, yu4000, eh, fa)
new_esEs3(Right(yu30), Right(yu4000), bdb, app(app(ty_Either, beb), bec)) → new_esEs3(yu30, yu4000, beb, bec)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(ty_Maybe, be)) → new_esEs1(yu31, yu4001, be)
new_esEs1(Just(yu30), Just(yu4000), app(ty_[], fb)) → new_esEs0(yu30, yu4000, fb)
new_esEs3(Left(yu30), Left(yu4000), app(app(ty_Either, bch), bda), bcb) → new_esEs3(yu30, yu4000, bch, bda)
new_esEs3(Left(yu30), Left(yu4000), app(app(ty_@2, bbh), bca), bcb) → new_esEs(yu30, yu4000, bbh, bca)
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_Either, ef), eg)) → new_esEs3(yu30, yu4000, ef, eg)
new_esEs1(Just(yu30), Just(yu4000), app(app(ty_Either, fh), ga)) → new_esEs3(yu30, yu4000, fh, ga)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(app(app(ty_@3, bf), bg), bh)) → new_esEs2(yu31, yu4001, bf, bg, bh)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_Either, dd), de), ce) → new_esEs3(yu30, yu4000, dd, de)
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(ty_Maybe, eb)) → new_esEs1(yu30, yu4000, eb)
new_esEs3(Left(yu30), Left(yu4000), app(ty_[], bcc), bcb) → new_esEs0(yu30, yu4000, bcc)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(app(ty_Either, ca), cb)) → new_esEs3(yu31, yu4001, ca, cb)
new_esEs3(Right(yu30), Right(yu4000), bdb, app(ty_[], bde)) → new_esEs0(yu30, yu4000, bde)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_Either, bbf), bbg), gc, hg) → new_esEs3(yu30, yu4000, bbf, bbg)
new_esEs3(Right(yu30), Right(yu4000), bdb, app(ty_Maybe, bdf)) → new_esEs1(yu30, yu4000, bdf)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(app(app(ty_@3, bab), bac), bad), hg) → new_esEs2(yu31, yu4001, bab, bac, bad)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(ty_[], bd)) → new_esEs0(yu31, yu4001, bd)
new_esEs1(Just(yu30), Just(yu4000), app(ty_Maybe, fc)) → new_esEs1(yu30, yu4000, fc)
new_esEs3(Right(yu30), Right(yu4000), bdb, app(app(app(ty_@3, bdg), bdh), bea)) → new_esEs2(yu30, yu4000, bdg, bdh, bea)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(ty_Maybe, gg)) → new_esEs1(yu32, yu4002, gg)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(app(ty_@2, bb), bc)) → new_esEs(yu31, yu4001, bb, bc)
new_esEs1(Just(yu30), Just(yu4000), app(app(app(ty_@3, fd), ff), fg)) → new_esEs2(yu30, yu4000, fd, ff, fg)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(app(app(ty_@3, da), db), dc), ce) → new_esEs2(yu30, yu4000, da, db, dc)
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_@2, dg), dh)) → new_esEs(yu30, yu4000, dg, dh)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(app(ty_@2, he), hf), hg) → new_esEs(yu31, yu4001, he, hf)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_@2, bag), bah), gc, hg) → new_esEs(yu30, yu4000, bag, bah)
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(ty_[], ea)) → new_esEs0(yu30, yu4000, ea)
new_esEs3(Left(yu30), Left(yu4000), app(app(app(ty_@3, bce), bcf), bcg), bcb) → new_esEs2(yu30, yu4000, bce, bcf, bcg)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(app(ty_Either, hc), hd)) → new_esEs3(yu32, yu4002, hc, hd)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(app(ty_@2, gd), ge)) → new_esEs(yu32, yu4002, gd, ge)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_[], bba), gc, hg) → new_esEs0(yu30, yu4000, bba)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(ty_[], hh), hg) → new_esEs0(yu31, yu4001, hh)
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(app(app(ty_@3, gh), ha), hb)) → new_esEs2(yu32, yu4002, gh, ha, hb)
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), df) → new_esEs0(yu31, yu4001, df)
new_esEs3(Right(yu30), Right(yu4000), bdb, app(app(ty_@2, bdc), bdd)) → new_esEs(yu30, yu4000, bdc, bdd)
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_Maybe, cg), ce) → new_esEs1(yu30, yu4000, cg)

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

new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_@2, dg), dh)) → new_esEs(yu30, yu4000, dg, dh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(app(app(ty_@3, ec), ed), ee)) → new_esEs2(yu30, yu4000, ec, ed, ee)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(Just(yu30), Just(yu4000), app(app(ty_@2, eh), fa)) → new_esEs(yu30, yu4000, eh, fa)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(Just(yu30), Just(yu4000), app(app(app(ty_@3, fd), ff), fg)) → new_esEs2(yu30, yu4000, fd, ff, fg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_Either, ef), eg)) → new_esEs3(yu30, yu4000, ef, eg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(Just(yu30), Just(yu4000), app(app(ty_Either, fh), ga)) → new_esEs3(yu30, yu4000, fh, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(ty_Maybe, eb)) → new_esEs1(yu30, yu4000, eb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Just(yu30), Just(yu4000), app(ty_[], fb)) → new_esEs0(yu30, yu4000, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(Just(yu30), Just(yu4000), app(ty_Maybe, fc)) → new_esEs1(yu30, yu4000, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), app(ty_[], ea)) → new_esEs0(yu30, yu4000, ea)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(:(yu30, yu31), :(yu4000, yu4001), df) → new_esEs0(yu31, yu4001, df)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_@2, cc), cd), ce) → new_esEs(yu30, yu4000, cc, cd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(app(ty_@2, bb), bc)) → new_esEs(yu31, yu4001, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(app(ty_@2, he), hf), hg) → new_esEs(yu31, yu4001, he, hf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_@2, bag), bah), gc, hg) → new_esEs(yu30, yu4000, bag, bah)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(app(ty_@2, gd), ge)) → new_esEs(yu32, yu4002, gd, ge)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs3(Left(yu30), Left(yu4000), app(app(ty_@2, bbh), bca), bcb) → new_esEs(yu30, yu4000, bbh, bca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Right(yu30), Right(yu4000), bdb, app(app(ty_@2, bdc), bdd)) → new_esEs(yu30, yu4000, bdc, bdd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(app(app(ty_@3, bf), bg), bh)) → new_esEs2(yu31, yu4001, bf, bg, bh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(app(app(ty_@3, da), db), dc), ce) → new_esEs2(yu30, yu4000, da, db, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_Either, dd), de), ce) → new_esEs3(yu30, yu4000, dd, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(app(ty_Either, ca), cb)) → new_esEs3(yu31, yu4001, ca, cb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_[], cf), ce) → new_esEs0(yu30, yu4000, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(ty_[], bd)) → new_esEs0(yu31, yu4001, bd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), ba, app(ty_Maybe, be)) → new_esEs1(yu31, yu4001, be)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_Maybe, cg), ce) → new_esEs1(yu30, yu4000, cg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(app(ty_@3, bbc), bbd), bbe), gc, hg) → new_esEs2(yu30, yu4000, bbc, bbd, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(app(app(ty_@3, bab), bac), bad), hg) → new_esEs2(yu31, yu4001, bab, bac, bad)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(app(app(ty_@3, gh), ha), hb)) → new_esEs2(yu32, yu4002, gh, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs3(Right(yu30), Right(yu4000), bdb, app(app(app(ty_@3, bdg), bdh), bea)) → new_esEs2(yu30, yu4000, bdg, bdh, bea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs3(Left(yu30), Left(yu4000), app(app(app(ty_@3, bce), bcf), bcg), bcb) → new_esEs2(yu30, yu4000, bce, bcf, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(app(ty_Either, bae), baf), hg) → new_esEs3(yu31, yu4001, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_Either, bbf), bbg), gc, hg) → new_esEs3(yu30, yu4000, bbf, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(app(ty_Either, hc), hd)) → new_esEs3(yu32, yu4002, hc, hd)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(ty_[], gf)) → new_esEs0(yu32, yu4002, gf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_[], bba), gc, hg) → new_esEs0(yu30, yu4000, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(ty_[], hh), hg) → new_esEs0(yu31, yu4001, hh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_Maybe, bbb), gc, hg) → new_esEs1(yu30, yu4000, bbb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, app(ty_Maybe, baa), hg) → new_esEs1(yu31, yu4001, baa)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs2(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), gb, gc, app(ty_Maybe, gg)) → new_esEs1(yu32, yu4002, gg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs3(Right(yu30), Right(yu4000), bdb, app(app(ty_Either, beb), bec)) → new_esEs3(yu30, yu4000, beb, bec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(Left(yu30), Left(yu4000), app(app(ty_Either, bch), bda), bcb) → new_esEs3(yu30, yu4000, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Left(yu30), Left(yu4000), app(ty_[], bcc), bcb) → new_esEs0(yu30, yu4000, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Right(yu30), Right(yu4000), bdb, app(ty_[], bde)) → new_esEs0(yu30, yu4000, bde)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(Left(yu30), Left(yu4000), app(ty_Maybe, bcd), bcb) → new_esEs1(yu30, yu4000, bcd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Right(yu30), Right(yu4000), bdb, app(ty_Maybe, bdf)) → new_esEs1(yu30, yu4000, bdf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

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

new_lookup(yu3, :(@2(yu400, yu401), yu41), bc, bd) → new_lookup1(yu3, yu400, yu401, yu41, new_esEs4(yu3, yu400, bd), bc, bd)
new_lookup1(yu11, yu12, yu13, yu14, False, ba, bb) → new_lookup(yu11, yu14, ba, bb)

The TRS R consists of the following rules:

new_esEs21(Right(yu30), Right(yu4000), hd, ty_Char) → new_esEs20(yu30, yu4000)
new_esEs8(yu30, yu4000, app(app(app(ty_@3, fb), fc), fd)) → new_esEs5(yu30, yu4000, fb, fc, fd)
new_esEs21(Right(yu30), Right(yu4000), hd, app(app(ty_Either, bae), baf)) → new_esEs21(yu30, yu4000, bae, baf)
new_esEs6(yu32, yu4002, ty_Integer) → new_esEs10(yu32, yu4002)
new_esEs21(Left(yu30), Right(yu4000), hd, gc) → False
new_esEs21(Right(yu30), Left(yu4000), hd, gc) → False
new_esEs5(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), be, bf, bg) → new_asAs(new_esEs8(yu30, yu4000, be), new_asAs(new_esEs7(yu31, yu4001, bf), new_esEs6(yu32, yu4002, bg)))
new_esEs26(yu30, yu4000, ty_Bool) → new_esEs18(yu30, yu4000)
new_primEqInt(Pos(Succ(yu300)), Neg(yu4000)) → False
new_primEqInt(Neg(Succ(yu300)), Pos(yu4000)) → False
new_esEs21(Right(yu30), Right(yu4000), hd, ty_Integer) → new_esEs10(yu30, yu4000)
new_esEs24(yu31, yu4001, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs5(yu31, yu4001, bbf, bbg, bbh)
new_esEs13([], [], bde) → True
new_esEs24(yu31, yu4001, app(ty_[], bbc)) → new_esEs13(yu31, yu4001, bbc)
new_primEqInt(Pos(Zero), Neg(Succ(yu40000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(yu40000))) → False
new_esEs24(yu31, yu4001, ty_Ordering) → new_esEs12(yu31, yu4001)
new_esEs8(yu30, yu4000, ty_Float) → new_esEs19(yu30, yu4000)
new_esEs21(Right(yu30), Right(yu4000), hd, ty_Ordering) → new_esEs12(yu30, yu4000)
new_esEs6(yu32, yu4002, ty_Bool) → new_esEs18(yu32, yu4002)
new_esEs15(Just(yu30), Just(yu4000), app(app(app(ty_@3, bff), bfg), bfh)) → new_esEs5(yu30, yu4000, bff, bfg, bfh)
new_esEs20(Char(yu30), Char(yu4000)) → new_primEqNat0(yu30, yu4000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs25(yu30, yu4000, ty_Char) → new_esEs20(yu30, yu4000)
new_esEs21(Left(yu30), Left(yu4000), ty_Int, gc) → new_esEs16(yu30, yu4000)
new_esEs4(yu3, yu400, ty_Float) → new_esEs19(yu3, yu400)
new_esEs8(yu30, yu4000, ty_Double) → new_esEs17(yu30, yu4000)
new_esEs15(Just(yu30), Just(yu4000), ty_Integer) → new_esEs10(yu30, yu4000)
new_esEs15(Just(yu30), Just(yu4000), app(app(ty_Either, bga), bgb)) → new_esEs21(yu30, yu4000, bga, bgb)
new_esEs26(yu30, yu4000, app(ty_Maybe, beb)) → new_esEs15(yu30, yu4000, beb)
new_esEs6(yu32, yu4002, ty_@0) → new_esEs11(yu32, yu4002)
new_esEs24(yu31, yu4001, ty_Float) → new_esEs19(yu31, yu4001)
new_esEs26(yu30, yu4000, app(ty_Ratio, bea)) → new_esEs14(yu30, yu4000, bea)
new_esEs12(EQ, GT) → False
new_esEs12(GT, EQ) → False
new_esEs6(yu32, yu4002, ty_Float) → new_esEs19(yu32, yu4002)
new_esEs4(yu3, yu400, ty_Ordering) → new_esEs12(yu3, yu400)
new_esEs21(Right(yu30), Right(yu4000), hd, app(ty_Maybe, baa)) → new_esEs15(yu30, yu4000, baa)
new_esEs6(yu32, yu4002, app(app(app(ty_@3, ce), cf), cg)) → new_esEs5(yu32, yu4002, ce, cf, cg)
new_esEs7(yu31, yu4001, app(app(app(ty_@3, dh), ea), eb)) → new_esEs5(yu31, yu4001, dh, ea, eb)
new_esEs21(Left(yu30), Left(yu4000), app(app(app(ty_@3, gg), gh), ha), gc) → new_esEs5(yu30, yu4000, gg, gh, ha)
new_esEs6(yu32, yu4002, ty_Int) → new_esEs16(yu32, yu4002)
new_esEs25(yu30, yu4000, ty_Integer) → new_esEs10(yu30, yu4000)
new_esEs4(yu3, yu400, ty_@0) → new_esEs11(yu3, yu400)
new_sr(Neg(yu310), Pos(yu40010)) → Neg(new_primMulNat0(yu310, yu40010))
new_sr(Pos(yu310), Neg(yu40010)) → Neg(new_primMulNat0(yu310, yu40010))
new_esEs21(Right(yu30), Right(yu4000), hd, ty_Double) → new_esEs17(yu30, yu4000)
new_esEs8(yu30, yu4000, app(app(ty_Either, ff), fg)) → new_esEs21(yu30, yu4000, ff, fg)
new_esEs15(Just(yu30), Just(yu4000), ty_Int) → new_esEs16(yu30, yu4000)
new_esEs7(yu31, yu4001, ty_Float) → new_esEs19(yu31, yu4001)
new_esEs21(Right(yu30), Right(yu4000), hd, ty_Bool) → new_esEs18(yu30, yu4000)
new_esEs12(LT, GT) → False
new_esEs12(GT, LT) → False
new_esEs24(yu31, yu4001, app(ty_Maybe, bbe)) → new_esEs15(yu31, yu4001, bbe)
new_esEs13(:(yu30, yu31), :(yu4000, yu4001), bde) → new_asAs(new_esEs26(yu30, yu4000, bde), new_esEs13(yu31, yu4001, bde))
new_esEs21(Right(yu30), Right(yu4000), hd, app(ty_Ratio, hh)) → new_esEs14(yu30, yu4000, hh)
new_esEs8(yu30, yu4000, app(app(ty_@2, ee), ef)) → new_esEs9(yu30, yu4000, ee, ef)
new_esEs21(Left(yu30), Left(yu4000), ty_Double, gc) → new_esEs17(yu30, yu4000)
new_esEs21(Right(yu30), Right(yu4000), hd, app(ty_[], hg)) → new_esEs13(yu30, yu4000, hg)
new_esEs21(Left(yu30), Left(yu4000), ty_Integer, gc) → new_esEs10(yu30, yu4000)
new_esEs23(yu30, yu4000, ty_Integer) → new_esEs10(yu30, yu4000)
new_esEs7(yu31, yu4001, app(app(ty_Either, ec), ed)) → new_esEs21(yu31, yu4001, ec, ed)
new_esEs15(Just(yu30), Just(yu4000), ty_@0) → new_esEs11(yu30, yu4000)
new_esEs6(yu32, yu4002, ty_Char) → new_esEs20(yu32, yu4002)
new_esEs7(yu31, yu4001, ty_Char) → new_esEs20(yu31, yu4001)
new_esEs22(yu31, yu4001, ty_Integer) → new_esEs10(yu31, yu4001)
new_primEqNat0(Succ(yu300), Zero) → False
new_primEqNat0(Zero, Succ(yu40000)) → False
new_esEs4(yu3, yu400, app(ty_Ratio, fh)) → new_esEs14(yu3, yu400, fh)
new_primPlusNat0(Zero, Zero) → Zero
new_esEs21(Right(yu30), Right(yu4000), hd, ty_@0) → new_esEs11(yu30, yu4000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs24(yu31, yu4001, app(ty_Ratio, bbd)) → new_esEs14(yu31, yu4001, bbd)
new_esEs10(Integer(yu30), Integer(yu4000)) → new_primEqInt(yu30, yu4000)
new_esEs14(:%(yu30, yu31), :%(yu4000, yu4001), fh) → new_asAs(new_esEs23(yu30, yu4000, fh), new_esEs22(yu31, yu4001, fh))
new_esEs17(Double(yu30, yu31), Double(yu4000, yu4001)) → new_esEs16(new_sr(yu30, yu4000), new_sr(yu31, yu4001))
new_esEs11(@0, @0) → True
new_esEs25(yu30, yu4000, ty_@0) → new_esEs11(yu30, yu4000)
new_esEs7(yu31, yu4001, ty_Integer) → new_esEs10(yu31, yu4001)
new_esEs15(Nothing, Nothing, beh) → True
new_esEs26(yu30, yu4000, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs7(yu31, yu4001, ty_@0) → new_esEs11(yu31, yu4001)
new_primPlusNat1(Succ(yu290), yu400100) → Succ(Succ(new_primPlusNat0(yu290, yu400100)))
new_esEs24(yu31, yu4001, ty_@0) → new_esEs11(yu31, yu4001)
new_esEs15(Just(yu30), Just(yu4000), app(app(ty_@2, bfa), bfb)) → new_esEs9(yu30, yu4000, bfa, bfb)
new_esEs25(yu30, yu4000, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs8(yu30, yu4000, ty_Integer) → new_esEs10(yu30, yu4000)
new_esEs15(Just(yu30), Just(yu4000), app(ty_[], bfc)) → new_esEs13(yu30, yu4000, bfc)
new_esEs25(yu30, yu4000, app(ty_Ratio, bcf)) → new_esEs14(yu30, yu4000, bcf)
new_esEs26(yu30, yu4000, ty_Double) → new_esEs17(yu30, yu4000)
new_esEs8(yu30, yu4000, app(ty_[], eg)) → new_esEs13(yu30, yu4000, eg)
new_esEs26(yu30, yu4000, ty_Char) → new_esEs20(yu30, yu4000)
new_esEs21(Left(yu30), Left(yu4000), app(app(ty_Either, hb), hc), gc) → new_esEs21(yu30, yu4000, hb, hc)
new_esEs25(yu30, yu4000, ty_Double) → new_esEs17(yu30, yu4000)
new_sr(Neg(yu310), Neg(yu40010)) → Pos(new_primMulNat0(yu310, yu40010))
new_esEs12(LT, LT) → True
new_esEs15(Just(yu30), Just(yu4000), ty_Double) → new_esEs17(yu30, yu4000)
new_esEs15(Just(yu30), Just(yu4000), app(ty_Ratio, bfd)) → new_esEs14(yu30, yu4000, bfd)
new_sr(Pos(yu310), Pos(yu40010)) → Pos(new_primMulNat0(yu310, yu40010))
new_asAs(False, yu28) → False
new_esEs7(yu31, yu4001, ty_Bool) → new_esEs18(yu31, yu4001)
new_esEs24(yu31, yu4001, ty_Int) → new_esEs16(yu31, yu4001)
new_primEqNat0(Zero, Zero) → True
new_esEs8(yu30, yu4000, ty_Char) → new_esEs20(yu30, yu4000)
new_esEs13([], :(yu4000, yu4001), bde) → False
new_esEs13(:(yu30, yu31), [], bde) → False
new_primMulNat0(Succ(yu3100), Zero) → Zero
new_primMulNat0(Zero, Succ(yu400100)) → Zero
new_primMulNat0(Succ(yu3100), Succ(yu400100)) → new_primPlusNat1(new_primMulNat0(yu3100, Succ(yu400100)), yu400100)
new_esEs26(yu30, yu4000, app(app(ty_@2, bdf), bdg)) → new_esEs9(yu30, yu4000, bdf, bdg)
new_esEs25(yu30, yu4000, ty_Bool) → new_esEs18(yu30, yu4000)
new_esEs6(yu32, yu4002, app(app(ty_Either, da), db)) → new_esEs21(yu32, yu4002, da, db)
new_esEs18(True, True) → True
new_esEs6(yu32, yu4002, app(ty_[], cb)) → new_esEs13(yu32, yu4002, cb)
new_esEs4(yu3, yu400, ty_Int) → new_esEs16(yu3, yu400)
new_esEs6(yu32, yu4002, ty_Ordering) → new_esEs12(yu32, yu4002)
new_esEs21(Left(yu30), Left(yu4000), app(ty_Maybe, gf), gc) → new_esEs15(yu30, yu4000, gf)
new_esEs21(Left(yu30), Left(yu4000), ty_Ordering, gc) → new_esEs12(yu30, yu4000)
new_esEs4(yu3, yu400, app(ty_Maybe, beh)) → new_esEs15(yu3, yu400, beh)
new_esEs4(yu3, yu400, app(app(app(ty_@3, be), bf), bg)) → new_esEs5(yu3, yu400, be, bf, bg)
new_esEs21(Right(yu30), Right(yu4000), hd, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs24(yu31, yu4001, ty_Char) → new_esEs20(yu31, yu4001)
new_esEs25(yu30, yu4000, app(ty_Maybe, bcg)) → new_esEs15(yu30, yu4000, bcg)
new_esEs7(yu31, yu4001, ty_Ordering) → new_esEs12(yu31, yu4001)
new_esEs21(Left(yu30), Left(yu4000), app(ty_Ratio, ge), gc) → new_esEs14(yu30, yu4000, ge)
new_esEs8(yu30, yu4000, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs25(yu30, yu4000, app(ty_[], bce)) → new_esEs13(yu30, yu4000, bce)
new_esEs24(yu31, yu4001, ty_Integer) → new_esEs10(yu31, yu4001)
new_esEs26(yu30, yu4000, app(app(ty_Either, bef), beg)) → new_esEs21(yu30, yu4000, bef, beg)
new_esEs21(Right(yu30), Right(yu4000), hd, ty_Float) → new_esEs19(yu30, yu4000)
new_esEs23(yu30, yu4000, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs25(yu30, yu4000, app(app(ty_@2, bcc), bcd)) → new_esEs9(yu30, yu4000, bcc, bcd)
new_esEs24(yu31, yu4001, ty_Double) → new_esEs17(yu31, yu4001)
new_esEs21(Right(yu30), Right(yu4000), hd, app(app(app(ty_@3, bab), bac), bad)) → new_esEs5(yu30, yu4000, bab, bac, bad)
new_esEs4(yu3, yu400, ty_Bool) → new_esEs18(yu3, yu400)
new_esEs4(yu3, yu400, ty_Integer) → new_esEs10(yu3, yu400)
new_esEs15(Just(yu30), Just(yu4000), ty_Float) → new_esEs19(yu30, yu4000)
new_esEs25(yu30, yu4000, ty_Ordering) → new_esEs12(yu30, yu4000)
new_esEs7(yu31, yu4001, ty_Int) → new_esEs16(yu31, yu4001)
new_primEqInt(Neg(Succ(yu300)), Neg(Succ(yu40000))) → new_primEqNat0(yu300, yu40000)
new_esEs24(yu31, yu4001, ty_Bool) → new_esEs18(yu31, yu4001)
new_esEs4(yu3, yu400, ty_Double) → new_esEs17(yu3, yu400)
new_esEs25(yu30, yu4000, ty_Float) → new_esEs19(yu30, yu4000)
new_esEs21(Left(yu30), Left(yu4000), ty_Float, gc) → new_esEs19(yu30, yu4000)
new_esEs4(yu3, yu400, app(app(ty_Either, hd), gc)) → new_esEs21(yu3, yu400, hd, gc)
new_esEs26(yu30, yu4000, app(ty_[], bdh)) → new_esEs13(yu30, yu4000, bdh)
new_esEs15(Just(yu30), Just(yu4000), ty_Ordering) → new_esEs12(yu30, yu4000)
new_esEs7(yu31, yu4001, app(ty_Maybe, dg)) → new_esEs15(yu31, yu4001, dg)
new_esEs15(Just(yu30), Just(yu4000), app(ty_Maybe, bfe)) → new_esEs15(yu30, yu4000, bfe)
new_esEs8(yu30, yu4000, app(ty_Ratio, eh)) → new_esEs14(yu30, yu4000, eh)
new_esEs16(yu3, yu400) → new_primEqInt(yu3, yu400)
new_esEs12(LT, EQ) → False
new_esEs12(EQ, LT) → False
new_esEs7(yu31, yu4001, app(ty_[], de)) → new_esEs13(yu31, yu4001, de)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs25(yu30, yu4000, app(app(app(ty_@3, bch), bda), bdb)) → new_esEs5(yu30, yu4000, bch, bda, bdb)
new_esEs21(Left(yu30), Left(yu4000), ty_Char, gc) → new_esEs20(yu30, yu4000)
new_esEs26(yu30, yu4000, ty_Float) → new_esEs19(yu30, yu4000)
new_esEs18(True, False) → False
new_esEs18(False, True) → False
new_esEs6(yu32, yu4002, app(app(ty_@2, bh), ca)) → new_esEs9(yu32, yu4002, bh, ca)
new_esEs12(GT, GT) → True
new_esEs7(yu31, yu4001, app(app(ty_@2, dc), dd)) → new_esEs9(yu31, yu4001, dc, dd)
new_primEqInt(Neg(Succ(yu300)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(yu40000))) → False
new_esEs19(Float(yu30, yu31), Float(yu4000, yu4001)) → new_esEs16(new_sr(yu30, yu4000), new_sr(yu31, yu4001))
new_esEs21(Left(yu30), Left(yu4000), ty_@0, gc) → new_esEs11(yu30, yu4000)
new_primPlusNat1(Zero, yu400100) → Succ(yu400100)
new_esEs24(yu31, yu4001, app(app(ty_@2, bba), bbb)) → new_esEs9(yu31, yu4001, bba, bbb)
new_esEs15(Just(yu30), Just(yu4000), ty_Char) → new_esEs20(yu30, yu4000)
new_primPlusNat0(Succ(yu2900), Succ(yu4001000)) → Succ(Succ(new_primPlusNat0(yu2900, yu4001000)))
new_esEs21(Left(yu30), Left(yu4000), app(ty_[], gd), gc) → new_esEs13(yu30, yu4000, gd)
new_esEs26(yu30, yu4000, ty_@0) → new_esEs11(yu30, yu4000)
new_esEs21(Right(yu30), Right(yu4000), hd, app(app(ty_@2, he), hf)) → new_esEs9(yu30, yu4000, he, hf)
new_esEs15(Just(yu30), Just(yu4000), ty_Bool) → new_esEs18(yu30, yu4000)
new_asAs(True, yu28) → yu28
new_esEs26(yu30, yu4000, app(app(app(ty_@3, bec), bed), bee)) → new_esEs5(yu30, yu4000, bec, bed, bee)
new_esEs15(Just(yu30), Nothing, beh) → False
new_esEs15(Nothing, Just(yu4000), beh) → False
new_esEs6(yu32, yu4002, app(ty_Ratio, cc)) → new_esEs14(yu32, yu4002, cc)
new_esEs6(yu32, yu4002, ty_Double) → new_esEs17(yu32, yu4002)
new_esEs4(yu3, yu400, app(app(ty_@2, bag), bah)) → new_esEs9(yu3, yu400, bag, bah)
new_esEs8(yu30, yu4000, ty_@0) → new_esEs11(yu30, yu4000)
new_primEqInt(Pos(Succ(yu300)), Pos(Succ(yu40000))) → new_primEqNat0(yu300, yu40000)
new_esEs26(yu30, yu4000, ty_Integer) → new_esEs10(yu30, yu4000)
new_esEs4(yu3, yu400, app(ty_[], bde)) → new_esEs13(yu3, yu400, bde)
new_esEs8(yu30, yu4000, ty_Ordering) → new_esEs12(yu30, yu4000)
new_esEs7(yu31, yu4001, app(ty_Ratio, df)) → new_esEs14(yu31, yu4001, df)
new_esEs25(yu30, yu4000, app(app(ty_Either, bdc), bdd)) → new_esEs21(yu30, yu4000, bdc, bdd)
new_esEs6(yu32, yu4002, app(ty_Maybe, cd)) → new_esEs15(yu32, yu4002, cd)
new_esEs9(@2(yu30, yu31), @2(yu4000, yu4001), bag, bah) → new_asAs(new_esEs25(yu30, yu4000, bag), new_esEs24(yu31, yu4001, bah))
new_primEqNat0(Succ(yu300), Succ(yu40000)) → new_primEqNat0(yu300, yu40000)
new_esEs26(yu30, yu4000, ty_Ordering) → new_esEs12(yu30, yu4000)
new_esEs21(Left(yu30), Left(yu4000), app(app(ty_@2, ga), gb), gc) → new_esEs9(yu30, yu4000, ga, gb)
new_esEs8(yu30, yu4000, ty_Bool) → new_esEs18(yu30, yu4000)
new_esEs21(Left(yu30), Left(yu4000), ty_Bool, gc) → new_esEs18(yu30, yu4000)
new_esEs24(yu31, yu4001, app(app(ty_Either, bca), bcb)) → new_esEs21(yu31, yu4001, bca, bcb)
new_esEs12(EQ, EQ) → True
new_primEqInt(Pos(Succ(yu300)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(yu40000))) → False
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs4(yu3, yu400, ty_Char) → new_esEs20(yu3, yu400)
new_primPlusNat0(Zero, Succ(yu4001000)) → Succ(yu4001000)
new_primPlusNat0(Succ(yu2900), Zero) → Succ(yu2900)
new_esEs22(yu31, yu4001, ty_Int) → new_esEs16(yu31, yu4001)
new_esEs8(yu30, yu4000, app(ty_Maybe, fa)) → new_esEs15(yu30, yu4000, fa)
new_esEs18(False, False) → True
new_esEs7(yu31, yu4001, ty_Double) → new_esEs17(yu31, yu4001)

The set Q consists of the following terms:

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

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_lookup1(yu11, yu12, yu13, yu14, False, ba, bb) → new_lookup(yu11, yu14, ba, bb)
The graph contains the following edges 1 >= 1, 4 >= 2, 6 >= 3, 7 >= 4
new_lookup(yu3, :(@2(yu400, yu401), yu41), bc, bd) → new_lookup1(yu3, yu400, yu401, yu41, new_esEs4(yu3, yu400, bd), bc, bd)
The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 3 >= 6, 4 >= 7

lookup	k []	= lookup3 k []
lookup	k ((x,y) : xys)	= lookup2 k ((x,y) : xys)

lookup1	k x y xys True	= Just y
lookup1	k x y xys False	= lookup0 k x y xys otherwise