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

YES 2.05 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 a => [a] -> [([a],b)] -> Maybe b) :: Eq a => [a] -> [([a],b)] -> Maybe b)

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 b => [b] -> [([b],a)] -> Maybe a)

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"];990[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 990[label="",style="solid", color="burlywood", weight=9];
990 -> 5[label="",style="solid", color="burlywood", weight=3];
991[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 991[label="",style="solid", color="burlywood", weight=9];
991 -> 6[label="",style="solid", color="burlywood", weight=3];
5[label="lookup yu3 (yu40 : yu41)\n  Eq a",fontsize=16,color="burlywood",shape="box"];992[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 992[label="",style="solid", color="burlywood", weight=9];
992 -> 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[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)\n  Eq a",fontsize=16,color="burlywood",shape="box"];993[label="yu3/yu30 : yu31",fontsize=10,color="white",style="solid",shape="box"];11 -> 993[label="",style="solid", color="burlywood", weight=9];
993 -> 12[label="",style="solid", color="burlywood", weight=3];
994[label="yu3/[]",fontsize=10,color="white",style="solid",shape="box"];11 -> 994[label="",style="solid", color="burlywood", weight=9];
994 -> 13[label="",style="solid", color="burlywood", weight=3];
12[label="lookup1 (yu30 : yu31) yu400 yu401 yu41 (yu30 : yu31 == yu400)\n  Eq a",fontsize=16,color="burlywood",shape="box"];995[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];12 -> 995[label="",style="solid", color="burlywood", weight=9];
995 -> 14[label="",style="solid", color="burlywood", weight=3];
996[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];12 -> 996[label="",style="solid", color="burlywood", weight=9];
996 -> 15[label="",style="solid", color="burlywood", weight=3];
13[label="lookup1 [] yu400 yu401 yu41 ([] == yu400)\n  Eq a",fontsize=16,color="burlywood",shape="box"];997[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];13 -> 997[label="",style="solid", color="burlywood", weight=9];
997 -> 16[label="",style="solid", color="burlywood", weight=3];
998[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 998[label="",style="solid", color="burlywood", weight=9];
998 -> 17[label="",style="solid", color="burlywood", weight=3];
14[label="lookup1 (yu30 : yu31) (yu4000 : yu4001) yu401 yu41 (yu30 : yu31 == yu4000 : yu4001)\n  Eq a",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
15[label="lookup1 (yu30 : yu31) [] yu401 yu41 (yu30 : yu31 == [])\n  Eq a",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
16[label="lookup1 [] (yu4000 : yu4001) yu401 yu41 ([] == yu4000 : yu4001)\n  Eq a",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
17[label="lookup1 [] [] yu401 yu41 ([] == [])\n  Eq a",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
18 -> 111[label="",style="dashed", color="red", weight=0];
18[label="lookup1 (yu30 : yu31) (yu4000 : yu4001) yu401 yu41 (yu30 == yu4000 && yu31 == yu4001)\n  Eq a",fontsize=16,color="magenta"];18 -> 112[label="",style="dashed", color="magenta", weight=3];
18 -> 113[label="",style="dashed", color="magenta", weight=3];
18 -> 114[label="",style="dashed", color="magenta", weight=3];
18 -> 115[label="",style="dashed", color="magenta", weight=3];
18 -> 116[label="",style="dashed", color="magenta", weight=3];
18 -> 117[label="",style="dashed", color="magenta", weight=3];
18 -> 118[label="",style="dashed", color="magenta", weight=3];
19[label="lookup1 (yu30 : yu31) [] yu401 yu41 False\n  Eq a",fontsize=16,color="black",shape="box"];19 -> 30[label="",style="solid", color="black", weight=3];
20[label="lookup1 [] (yu4000 : yu4001) yu401 yu41 False\n  Eq a",fontsize=16,color="black",shape="box"];20 -> 31[label="",style="solid", color="black", weight=3];
21[label="lookup1 [] [] yu401 yu41 True\n  Eq a",fontsize=16,color="black",shape="box"];21 -> 32[label="",style="solid", color="black", weight=3];
112[label="yu41\n  Eq a",fontsize=16,color="green",shape="box"];113[label="yu4001\n  Eq a",fontsize=16,color="green",shape="box"];114[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];115[label="yu401",fontsize=16,color="green",shape="box"];116[label="yu31\n  Eq a",fontsize=16,color="green",shape="box"];117 -> 355[label="",style="dashed", color="red", weight=0];
117[label="yu30 == yu4000 && yu31 == yu4001\n  Eq a",fontsize=16,color="magenta"];117 -> 356[label="",style="dashed", color="magenta", weight=3];
117 -> 357[label="",style="dashed", color="magenta", weight=3];
118[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];111[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 yu20\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];1001[label="yu20/False",fontsize=10,color="white",style="solid",shape="box"];111 -> 1001[label="",style="solid", color="burlywood", weight=9];
1001 -> 126[label="",style="solid", color="burlywood", weight=3];
1002[label="yu20/True",fontsize=10,color="white",style="solid",shape="box"];111 -> 1002[label="",style="solid", color="burlywood", weight=9];
1002 -> 127[label="",style="solid", color="burlywood", weight=3];
30[label="lookup0 (yu30 : yu31) [] yu401 yu41 otherwise\n  Eq a",fontsize=16,color="black",shape="box"];30 -> 49[label="",style="solid", color="black", weight=3];
31[label="lookup0 [] (yu4000 : yu4001) yu401 yu41 otherwise\n  Eq a",fontsize=16,color="black",shape="box"];31 -> 50[label="",style="solid", color="black", weight=3];
32[label="Just yu401",fontsize=16,color="green",shape="box"];356[label="yu30 == yu4000\n  Eq a",fontsize=16,color="blue",shape="box"];1003[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1003[label="",style="solid", color="blue", weight=9];
1003 -> 360[label="",style="solid", color="blue", weight=3];
1004[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1004[label="",style="solid", color="blue", weight=9];
1004 -> 361[label="",style="solid", color="blue", weight=3];
1005[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1005[label="",style="solid", color="blue", weight=9];
1005 -> 362[label="",style="solid", color="blue", weight=3];
1006[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1006[label="",style="solid", color="blue", weight=9];
1006 -> 363[label="",style="solid", color="blue", weight=3];
1007[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1007[label="",style="solid", color="blue", weight=9];
1007 -> 364[label="",style="solid", color="blue", weight=3];
1008[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1008[label="",style="solid", color="blue", weight=9];
1008 -> 365[label="",style="solid", color="blue", weight=3];
1009[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1009[label="",style="solid", color="blue", weight=9];
1009 -> 366[label="",style="solid", color="blue", weight=3];
1010[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1010[label="",style="solid", color="blue", weight=9];
1010 -> 367[label="",style="solid", color="blue", weight=3];
1011[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1011[label="",style="solid", color="blue", weight=9];
1011 -> 368[label="",style="solid", color="blue", weight=3];
1012[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1012[label="",style="solid", color="blue", weight=9];
1012 -> 369[label="",style="solid", color="blue", weight=3];
1013[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1013[label="",style="solid", color="blue", weight=9];
1013 -> 370[label="",style="solid", color="blue", weight=3];
1014[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1014[label="",style="solid", color="blue", weight=9];
1014 -> 371[label="",style="solid", color="blue", weight=3];
1015[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1015[label="",style="solid", color="blue", weight=9];
1015 -> 372[label="",style="solid", color="blue", weight=3];
1016[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];356 -> 1016[label="",style="solid", color="blue", weight=9];
1016 -> 373[label="",style="solid", color="blue", weight=3];
357[label="yu31 == yu4001\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];1017[label="yu31/yu310 : yu311",fontsize=10,color="white",style="solid",shape="box"];357 -> 1017[label="",style="solid", color="burlywood", weight=9];
1017 -> 374[label="",style="solid", color="burlywood", weight=3];
1018[label="yu31/[]",fontsize=10,color="white",style="solid",shape="box"];357 -> 1018[label="",style="solid", color="burlywood", weight=9];
1018 -> 375[label="",style="solid", color="burlywood", weight=3];
355[label="yu32 && yu33",fontsize=16,color="burlywood",shape="triangle"];1019[label="yu32/False",fontsize=10,color="white",style="solid",shape="box"];355 -> 1019[label="",style="solid", color="burlywood", weight=9];
1019 -> 376[label="",style="solid", color="burlywood", weight=3];
1020[label="yu32/True",fontsize=10,color="white",style="solid",shape="box"];355 -> 1020[label="",style="solid", color="burlywood", weight=9];
1020 -> 377[label="",style="solid", color="burlywood", weight=3];
126[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 False\n  Eq a",fontsize=16,color="black",shape="box"];126 -> 148[label="",style="solid", color="black", weight=3];
127[label="lookup1 (yu13 : yu14) (yu15 : yu16) yu17 yu18 True\n  Eq a",fontsize=16,color="black",shape="box"];127 -> 149[label="",style="solid", color="black", weight=3];
49[label="lookup0 (yu30 : yu31) [] yu401 yu41 True\n  Eq a",fontsize=16,color="black",shape="box"];49 -> 73[label="",style="solid", color="black", weight=3];
50[label="lookup0 [] (yu4000 : yu4001) yu401 yu41 True\n  Eq a",fontsize=16,color="black",shape="box"];50 -> 74[label="",style="solid", color="black", weight=3];
360[label="yu30 == yu4000\n  Eq a",fontsize=16,color="burlywood",shape="triangle"];1021[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];360 -> 1021[label="",style="solid", color="burlywood", weight=9];
1021 -> 378[label="",style="solid", color="burlywood", weight=3];
1022[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];360 -> 1022[label="",style="solid", color="burlywood", weight=9];
1022 -> 379[label="",style="solid", color="burlywood", weight=3];
361[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1023[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];361 -> 1023[label="",style="solid", color="burlywood", weight=9];
1023 -> 380[label="",style="solid", color="burlywood", weight=3];
362[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];362 -> 381[label="",style="solid", color="black", weight=3];
363[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];1024[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];363 -> 1024[label="",style="solid", color="burlywood", weight=9];
1024 -> 382[label="",style="solid", color="burlywood", weight=3];
1025[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];363 -> 1025[label="",style="solid", color="burlywood", weight=9];
1025 -> 383[label="",style="solid", color="burlywood", weight=3];
364 -> 357[label="",style="dashed", color="red", weight=0];
364[label="yu30 == yu4000\n  Eq a",fontsize=16,color="magenta"];364 -> 384[label="",style="dashed", color="magenta", weight=3];
364 -> 385[label="",style="dashed", color="magenta", weight=3];
365[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1027[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];365 -> 1027[label="",style="solid", color="burlywood", weight=9];
1027 -> 386[label="",style="solid", color="burlywood", weight=3];
1028[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];365 -> 1028[label="",style="solid", color="burlywood", weight=9];
1028 -> 387[label="",style="solid", color="burlywood", weight=3];
366[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1029[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];366 -> 1029[label="",style="solid", color="burlywood", weight=9];
1029 -> 388[label="",style="solid", color="burlywood", weight=3];
1030[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];366 -> 1030[label="",style="solid", color="burlywood", weight=9];
1030 -> 389[label="",style="solid", color="burlywood", weight=3];
1031[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];366 -> 1031[label="",style="solid", color="burlywood", weight=9];
1031 -> 390[label="",style="solid", color="burlywood", weight=3];
367[label="yu30 == yu4000\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="triangle"];1032[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];367 -> 1032[label="",style="solid", color="burlywood", weight=9];
1032 -> 391[label="",style="solid", color="burlywood", weight=3];
368[label="yu30 == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="triangle"];1033[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];368 -> 1033[label="",style="solid", color="burlywood", weight=9];
1033 -> 392[label="",style="solid", color="burlywood", weight=3];
369[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];369 -> 393[label="",style="solid", color="black", weight=3];
370[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1034[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];370 -> 1034[label="",style="solid", color="burlywood", weight=9];
1034 -> 394[label="",style="solid", color="burlywood", weight=3];
371[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];371 -> 395[label="",style="solid", color="black", weight=3];
372[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];372 -> 396[label="",style="solid", color="black", weight=3];
373[label="yu30 == yu4000\n  Integral a",fontsize=16,color="burlywood",shape="triangle"];1035[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];373 -> 1035[label="",style="solid", color="burlywood", weight=9];
1035 -> 397[label="",style="solid", color="burlywood", weight=3];
374[label="yu310 : yu311 == yu4001\n  Eq a",fontsize=16,color="burlywood",shape="box"];1036[label="yu4001/yu40010 : yu40011",fontsize=10,color="white",style="solid",shape="box"];374 -> 1036[label="",style="solid", color="burlywood", weight=9];
1036 -> 398[label="",style="solid", color="burlywood", weight=3];
1037[label="yu4001/[]",fontsize=10,color="white",style="solid",shape="box"];374 -> 1037[label="",style="solid", color="burlywood", weight=9];
1037 -> 399[label="",style="solid", color="burlywood", weight=3];
375[label="[] == yu4001\n  Eq a",fontsize=16,color="burlywood",shape="box"];1038[label="yu4001/yu40010 : yu40011",fontsize=10,color="white",style="solid",shape="box"];375 -> 1038[label="",style="solid", color="burlywood", weight=9];
1038 -> 400[label="",style="solid", color="burlywood", weight=3];
1039[label="yu4001/[]",fontsize=10,color="white",style="solid",shape="box"];375 -> 1039[label="",style="solid", color="burlywood", weight=9];
1039 -> 401[label="",style="solid", color="burlywood", weight=3];
376[label="False && yu33",fontsize=16,color="black",shape="box"];376 -> 402[label="",style="solid", color="black", weight=3];
377[label="True && yu33",fontsize=16,color="black",shape="box"];377 -> 403[label="",style="solid", color="black", weight=3];
148[label="lookup0 (yu13 : yu14) (yu15 : yu16) yu17 yu18 otherwise\n  Eq a",fontsize=16,color="black",shape="box"];148 -> 172[label="",style="solid", color="black", weight=3];
149[label="Just yu17",fontsize=16,color="green",shape="box"];73 -> 4[label="",style="dashed", color="red", weight=0];
73[label="lookup (yu30 : yu31) yu41\n  Eq a",fontsize=16,color="magenta"];73 -> 144[label="",style="dashed", color="magenta", weight=3];
73 -> 145[label="",style="dashed", color="magenta", weight=3];
74 -> 4[label="",style="dashed", color="red", weight=0];
74[label="lookup [] yu41\n  Eq a",fontsize=16,color="magenta"];74 -> 146[label="",style="dashed", color="magenta", weight=3];
74 -> 147[label="",style="dashed", color="magenta", weight=3];
378[label="Nothing == yu4000\n  Eq a",fontsize=16,color="burlywood",shape="box"];1042[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];378 -> 1042[label="",style="solid", color="burlywood", weight=9];
1042 -> 404[label="",style="solid", color="burlywood", weight=3];
1043[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];378 -> 1043[label="",style="solid", color="burlywood", weight=9];
1043 -> 405[label="",style="solid", color="burlywood", weight=3];
379[label="Just yu300 == yu4000\n  Eq a",fontsize=16,color="burlywood",shape="box"];1044[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];379 -> 1044[label="",style="solid", color="burlywood", weight=9];
1044 -> 406[label="",style="solid", color="burlywood", weight=3];
1045[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];379 -> 1045[label="",style="solid", color="burlywood", weight=9];
1045 -> 407[label="",style="solid", color="burlywood", weight=3];
380[label="() == yu4000",fontsize=16,color="burlywood",shape="box"];1046[label="yu4000/()",fontsize=10,color="white",style="solid",shape="box"];380 -> 1046[label="",style="solid", color="burlywood", weight=9];
1046 -> 408[label="",style="solid", color="burlywood", weight=3];
381[label="primEqDouble yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1047[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];381 -> 1047[label="",style="solid", color="burlywood", weight=9];
1047 -> 409[label="",style="solid", color="burlywood", weight=3];
382[label="Left yu300 == yu4000\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1048[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];382 -> 1048[label="",style="solid", color="burlywood", weight=9];
1048 -> 410[label="",style="solid", color="burlywood", weight=3];
1049[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];382 -> 1049[label="",style="solid", color="burlywood", weight=9];
1049 -> 411[label="",style="solid", color="burlywood", weight=3];
383[label="Right yu300 == yu4000\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1050[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];383 -> 1050[label="",style="solid", color="burlywood", weight=9];
1050 -> 412[label="",style="solid", color="burlywood", weight=3];
1051[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];383 -> 1051[label="",style="solid", color="burlywood", weight=9];
1051 -> 413[label="",style="solid", color="burlywood", weight=3];
384[label="yu4000\n  Eq a",fontsize=16,color="green",shape="box"];385[label="yu30\n  Eq a",fontsize=16,color="green",shape="box"];386[label="False == yu4000",fontsize=16,color="burlywood",shape="box"];1052[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];386 -> 1052[label="",style="solid", color="burlywood", weight=9];
1052 -> 414[label="",style="solid", color="burlywood", weight=3];
1053[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];386 -> 1053[label="",style="solid", color="burlywood", weight=9];
1053 -> 415[label="",style="solid", color="burlywood", weight=3];
387[label="True == yu4000",fontsize=16,color="burlywood",shape="box"];1054[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];387 -> 1054[label="",style="solid", color="burlywood", weight=9];
1054 -> 416[label="",style="solid", color="burlywood", weight=3];
1055[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];387 -> 1055[label="",style="solid", color="burlywood", weight=9];
1055 -> 417[label="",style="solid", color="burlywood", weight=3];
388[label="LT == yu4000",fontsize=16,color="burlywood",shape="box"];1056[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];388 -> 1056[label="",style="solid", color="burlywood", weight=9];
1056 -> 418[label="",style="solid", color="burlywood", weight=3];
1057[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];388 -> 1057[label="",style="solid", color="burlywood", weight=9];
1057 -> 419[label="",style="solid", color="burlywood", weight=3];
1058[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];388 -> 1058[label="",style="solid", color="burlywood", weight=9];
1058 -> 420[label="",style="solid", color="burlywood", weight=3];
389[label="EQ == yu4000",fontsize=16,color="burlywood",shape="box"];1059[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];389 -> 1059[label="",style="solid", color="burlywood", weight=9];
1059 -> 421[label="",style="solid", color="burlywood", weight=3];
1060[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];389 -> 1060[label="",style="solid", color="burlywood", weight=9];
1060 -> 422[label="",style="solid", color="burlywood", weight=3];
1061[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];389 -> 1061[label="",style="solid", color="burlywood", weight=9];
1061 -> 423[label="",style="solid", color="burlywood", weight=3];
390[label="GT == yu4000",fontsize=16,color="burlywood",shape="box"];1062[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];390 -> 1062[label="",style="solid", color="burlywood", weight=9];
1062 -> 424[label="",style="solid", color="burlywood", weight=3];
1063[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];390 -> 1063[label="",style="solid", color="burlywood", weight=9];
1063 -> 425[label="",style="solid", color="burlywood", weight=3];
1064[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];390 -> 1064[label="",style="solid", color="burlywood", weight=9];
1064 -> 426[label="",style="solid", color="burlywood", weight=3];
391[label="(yu300,yu301) == yu4000\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1065[label="yu4000/(yu40000,yu40001)",fontsize=10,color="white",style="solid",shape="box"];391 -> 1065[label="",style="solid", color="burlywood", weight=9];
1065 -> 427[label="",style="solid", color="burlywood", weight=3];
392[label="(yu300,yu301,yu302) == yu4000\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];1066[label="yu4000/(yu40000,yu40001,yu40002)",fontsize=10,color="white",style="solid",shape="box"];392 -> 1066[label="",style="solid", color="burlywood", weight=9];
1066 -> 428[label="",style="solid", color="burlywood", weight=3];
393[label="primEqChar yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1067[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];393 -> 1067[label="",style="solid", color="burlywood", weight=9];
1067 -> 429[label="",style="solid", color="burlywood", weight=3];
394[label="Integer yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1068[label="yu4000/Integer yu40000",fontsize=10,color="white",style="solid",shape="box"];394 -> 1068[label="",style="solid", color="burlywood", weight=9];
1068 -> 430[label="",style="solid", color="burlywood", weight=3];
395[label="primEqInt yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];1069[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];395 -> 1069[label="",style="solid", color="burlywood", weight=9];
1069 -> 431[label="",style="solid", color="burlywood", weight=3];
1070[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];395 -> 1070[label="",style="solid", color="burlywood", weight=9];
1070 -> 432[label="",style="solid", color="burlywood", weight=3];
396[label="primEqFloat yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1071[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];396 -> 1071[label="",style="solid", color="burlywood", weight=9];
1071 -> 433[label="",style="solid", color="burlywood", weight=3];
397[label="yu300 :% yu301 == yu4000\n  Integral a",fontsize=16,color="burlywood",shape="box"];1072[label="yu4000/yu40000 :% yu40001",fontsize=10,color="white",style="solid",shape="box"];397 -> 1072[label="",style="solid", color="burlywood", weight=9];
1072 -> 434[label="",style="solid", color="burlywood", weight=3];
398[label="yu310 : yu311 == yu40010 : yu40011\n  Eq a",fontsize=16,color="black",shape="box"];398 -> 435[label="",style="solid", color="black", weight=3];
399[label="yu310 : yu311 == []\n  Eq a",fontsize=16,color="black",shape="box"];399 -> 436[label="",style="solid", color="black", weight=3];
400[label="[] == yu40010 : yu40011\n  Eq a",fontsize=16,color="black",shape="box"];400 -> 437[label="",style="solid", color="black", weight=3];
401[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];401 -> 438[label="",style="solid", color="black", weight=3];
402[label="False",fontsize=16,color="green",shape="box"];403[label="yu33",fontsize=16,color="green",shape="box"];172[label="lookup0 (yu13 : yu14) (yu15 : yu16) yu17 yu18 True\n  Eq a",fontsize=16,color="black",shape="box"];172 -> 222[label="",style="solid", color="black", weight=3];
144[label="yu41\n  Eq a",fontsize=16,color="green",shape="box"];145[label="yu30 : yu31\n  Eq a",fontsize=16,color="green",shape="box"];146[label="yu41\n  Eq a",fontsize=16,color="green",shape="box"];147[label="[]\n  Eq a",fontsize=16,color="green",shape="box"];404[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];404 -> 439[label="",style="solid", color="black", weight=3];
405[label="Nothing == Just yu40000\n  Eq a",fontsize=16,color="black",shape="box"];405 -> 440[label="",style="solid", color="black", weight=3];
406[label="Just yu300 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];406 -> 441[label="",style="solid", color="black", weight=3];
407[label="Just yu300 == Just yu40000\n  Eq a",fontsize=16,color="black",shape="box"];407 -> 442[label="",style="solid", color="black", weight=3];
408[label="() == ()",fontsize=16,color="black",shape="box"];408 -> 443[label="",style="solid", color="black", weight=3];
409[label="primEqDouble (Double yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1073[label="yu4000/Double yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];409 -> 1073[label="",style="solid", color="burlywood", weight=9];
1073 -> 444[label="",style="solid", color="burlywood", weight=3];
410[label="Left yu300 == Left yu40000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];410 -> 445[label="",style="solid", color="black", weight=3];
411[label="Left yu300 == Right yu40000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];411 -> 446[label="",style="solid", color="black", weight=3];
412[label="Right yu300 == Left yu40000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];412 -> 447[label="",style="solid", color="black", weight=3];
413[label="Right yu300 == Right yu40000\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];413 -> 448[label="",style="solid", color="black", weight=3];
414[label="False == False",fontsize=16,color="black",shape="box"];414 -> 449[label="",style="solid", color="black", weight=3];
415[label="False == True",fontsize=16,color="black",shape="box"];415 -> 450[label="",style="solid", color="black", weight=3];
416[label="True == False",fontsize=16,color="black",shape="box"];416 -> 451[label="",style="solid", color="black", weight=3];
417[label="True == True",fontsize=16,color="black",shape="box"];417 -> 452[label="",style="solid", color="black", weight=3];
418[label="LT == LT",fontsize=16,color="black",shape="box"];418 -> 453[label="",style="solid", color="black", weight=3];
419[label="LT == EQ",fontsize=16,color="black",shape="box"];419 -> 454[label="",style="solid", color="black", weight=3];
420[label="LT == GT",fontsize=16,color="black",shape="box"];420 -> 455[label="",style="solid", color="black", weight=3];
421[label="EQ == LT",fontsize=16,color="black",shape="box"];421 -> 456[label="",style="solid", color="black", weight=3];
422[label="EQ == EQ",fontsize=16,color="black",shape="box"];422 -> 457[label="",style="solid", color="black", weight=3];
423[label="EQ == GT",fontsize=16,color="black",shape="box"];423 -> 458[label="",style="solid", color="black", weight=3];
424[label="GT == LT",fontsize=16,color="black",shape="box"];424 -> 459[label="",style="solid", color="black", weight=3];
425[label="GT == EQ",fontsize=16,color="black",shape="box"];425 -> 460[label="",style="solid", color="black", weight=3];
426[label="GT == GT",fontsize=16,color="black",shape="box"];426 -> 461[label="",style="solid", color="black", weight=3];
427[label="(yu300,yu301) == (yu40000,yu40001)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];427 -> 462[label="",style="solid", color="black", weight=3];
428[label="(yu300,yu301,yu302) == (yu40000,yu40001,yu40002)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];428 -> 463[label="",style="solid", color="black", weight=3];
429[label="primEqChar (Char yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1074[label="yu4000/Char yu40000",fontsize=10,color="white",style="solid",shape="box"];429 -> 1074[label="",style="solid", color="burlywood", weight=9];
1074 -> 464[label="",style="solid", color="burlywood", weight=3];
430[label="Integer yu300 == Integer yu40000",fontsize=16,color="black",shape="box"];430 -> 465[label="",style="solid", color="black", weight=3];
431[label="primEqInt (Pos yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1075[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];431 -> 1075[label="",style="solid", color="burlywood", weight=9];
1075 -> 466[label="",style="solid", color="burlywood", weight=3];
1076[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];431 -> 1076[label="",style="solid", color="burlywood", weight=9];
1076 -> 467[label="",style="solid", color="burlywood", weight=3];
432[label="primEqInt (Neg yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1077[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];432 -> 1077[label="",style="solid", color="burlywood", weight=9];
1077 -> 468[label="",style="solid", color="burlywood", weight=3];
1078[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];432 -> 1078[label="",style="solid", color="burlywood", weight=9];
1078 -> 469[label="",style="solid", color="burlywood", weight=3];
433[label="primEqFloat (Float yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1079[label="yu4000/Float yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];433 -> 1079[label="",style="solid", color="burlywood", weight=9];
1079 -> 470[label="",style="solid", color="burlywood", weight=3];
434[label="yu300 :% yu301 == yu40000 :% yu40001\n  Integral a",fontsize=16,color="black",shape="box"];434 -> 471[label="",style="solid", color="black", weight=3];
435 -> 355[label="",style="dashed", color="red", weight=0];
435[label="yu310 == yu40010 && yu311 == yu40011\n  Eq a",fontsize=16,color="magenta"];435 -> 472[label="",style="dashed", color="magenta", weight=3];
435 -> 473[label="",style="dashed", color="magenta", weight=3];
436[label="False",fontsize=16,color="green",shape="box"];437[label="False",fontsize=16,color="green",shape="box"];438[label="True",fontsize=16,color="green",shape="box"];222 -> 4[label="",style="dashed", color="red", weight=0];
222[label="lookup (yu13 : yu14) yu18\n  Eq a",fontsize=16,color="magenta"];222 -> 288[label="",style="dashed", color="magenta", weight=3];
222 -> 289[label="",style="dashed", color="magenta", weight=3];
439[label="True",fontsize=16,color="green",shape="box"];440[label="False",fontsize=16,color="green",shape="box"];441[label="False",fontsize=16,color="green",shape="box"];442[label="yu300 == yu40000\n  Eq a",fontsize=16,color="blue",shape="box"];1082[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1082[label="",style="solid", color="blue", weight=9];
1082 -> 474[label="",style="solid", color="blue", weight=3];
1083[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1083[label="",style="solid", color="blue", weight=9];
1083 -> 475[label="",style="solid", color="blue", weight=3];
1084[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1084[label="",style="solid", color="blue", weight=9];
1084 -> 476[label="",style="solid", color="blue", weight=3];
1085[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1085[label="",style="solid", color="blue", weight=9];
1085 -> 477[label="",style="solid", color="blue", weight=3];
1086[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1086[label="",style="solid", color="blue", weight=9];
1086 -> 478[label="",style="solid", color="blue", weight=3];
1087[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1087[label="",style="solid", color="blue", weight=9];
1087 -> 479[label="",style="solid", color="blue", weight=3];
1088[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1088[label="",style="solid", color="blue", weight=9];
1088 -> 480[label="",style="solid", color="blue", weight=3];
1089[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1089[label="",style="solid", color="blue", weight=9];
1089 -> 481[label="",style="solid", color="blue", weight=3];
1090[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1090[label="",style="solid", color="blue", weight=9];
1090 -> 482[label="",style="solid", color="blue", weight=3];
1091[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1091[label="",style="solid", color="blue", weight=9];
1091 -> 483[label="",style="solid", color="blue", weight=3];
1092[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1092[label="",style="solid", color="blue", weight=9];
1092 -> 484[label="",style="solid", color="blue", weight=3];
1093[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1093[label="",style="solid", color="blue", weight=9];
1093 -> 485[label="",style="solid", color="blue", weight=3];
1094[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1094[label="",style="solid", color="blue", weight=9];
1094 -> 486[label="",style="solid", color="blue", weight=3];
1095[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];442 -> 1095[label="",style="solid", color="blue", weight=9];
1095 -> 487[label="",style="solid", color="blue", weight=3];
443[label="True",fontsize=16,color="green",shape="box"];444[label="primEqDouble (Double yu300 yu301) (Double yu40000 yu40001)",fontsize=16,color="black",shape="box"];444 -> 488[label="",style="solid", color="black", weight=3];
445[label="yu300 == yu40000\n  Eq a",fontsize=16,color="blue",shape="box"];1096[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1096[label="",style="solid", color="blue", weight=9];
1096 -> 489[label="",style="solid", color="blue", weight=3];
1097[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1097[label="",style="solid", color="blue", weight=9];
1097 -> 490[label="",style="solid", color="blue", weight=3];
1098[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1098[label="",style="solid", color="blue", weight=9];
1098 -> 491[label="",style="solid", color="blue", weight=3];
1099[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1099[label="",style="solid", color="blue", weight=9];
1099 -> 492[label="",style="solid", color="blue", weight=3];
1100[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1100[label="",style="solid", color="blue", weight=9];
1100 -> 493[label="",style="solid", color="blue", weight=3];
1101[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1101[label="",style="solid", color="blue", weight=9];
1101 -> 494[label="",style="solid", color="blue", weight=3];
1102[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1102[label="",style="solid", color="blue", weight=9];
1102 -> 495[label="",style="solid", color="blue", weight=3];
1103[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1103[label="",style="solid", color="blue", weight=9];
1103 -> 496[label="",style="solid", color="blue", weight=3];
1104[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1104[label="",style="solid", color="blue", weight=9];
1104 -> 497[label="",style="solid", color="blue", weight=3];
1105[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1105[label="",style="solid", color="blue", weight=9];
1105 -> 498[label="",style="solid", color="blue", weight=3];
1106[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1106[label="",style="solid", color="blue", weight=9];
1106 -> 499[label="",style="solid", color="blue", weight=3];
1107[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1107[label="",style="solid", color="blue", weight=9];
1107 -> 500[label="",style="solid", color="blue", weight=3];
1108[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1108[label="",style="solid", color="blue", weight=9];
1108 -> 501[label="",style="solid", color="blue", weight=3];
1109[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];445 -> 1109[label="",style="solid", color="blue", weight=9];
1109 -> 502[label="",style="solid", color="blue", weight=3];
446[label="False",fontsize=16,color="green",shape="box"];447[label="False",fontsize=16,color="green",shape="box"];448[label="yu300 == yu40000\n  Eq a",fontsize=16,color="blue",shape="box"];1110[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1110[label="",style="solid", color="blue", weight=9];
1110 -> 503[label="",style="solid", color="blue", weight=3];
1111[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1111[label="",style="solid", color="blue", weight=9];
1111 -> 504[label="",style="solid", color="blue", weight=3];
1112[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1112[label="",style="solid", color="blue", weight=9];
1112 -> 505[label="",style="solid", color="blue", weight=3];
1113[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1113[label="",style="solid", color="blue", weight=9];
1113 -> 506[label="",style="solid", color="blue", weight=3];
1114[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1114[label="",style="solid", color="blue", weight=9];
1114 -> 507[label="",style="solid", color="blue", weight=3];
1115[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1115[label="",style="solid", color="blue", weight=9];
1115 -> 508[label="",style="solid", color="blue", weight=3];
1116[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1116[label="",style="solid", color="blue", weight=9];
1116 -> 509[label="",style="solid", color="blue", weight=3];
1117[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1117[label="",style="solid", color="blue", weight=9];
1117 -> 510[label="",style="solid", color="blue", weight=3];
1118[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1118[label="",style="solid", color="blue", weight=9];
1118 -> 511[label="",style="solid", color="blue", weight=3];
1119[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1119[label="",style="solid", color="blue", weight=9];
1119 -> 512[label="",style="solid", color="blue", weight=3];
1120[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1120[label="",style="solid", color="blue", weight=9];
1120 -> 513[label="",style="solid", color="blue", weight=3];
1121[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1121[label="",style="solid", color="blue", weight=9];
1121 -> 514[label="",style="solid", color="blue", weight=3];
1122[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1122[label="",style="solid", color="blue", weight=9];
1122 -> 515[label="",style="solid", color="blue", weight=3];
1123[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];448 -> 1123[label="",style="solid", color="blue", weight=9];
1123 -> 516[label="",style="solid", color="blue", weight=3];
449[label="True",fontsize=16,color="green",shape="box"];450[label="False",fontsize=16,color="green",shape="box"];451[label="False",fontsize=16,color="green",shape="box"];452[label="True",fontsize=16,color="green",shape="box"];453[label="True",fontsize=16,color="green",shape="box"];454[label="False",fontsize=16,color="green",shape="box"];455[label="False",fontsize=16,color="green",shape="box"];456[label="False",fontsize=16,color="green",shape="box"];457[label="True",fontsize=16,color="green",shape="box"];458[label="False",fontsize=16,color="green",shape="box"];459[label="False",fontsize=16,color="green",shape="box"];460[label="False",fontsize=16,color="green",shape="box"];461[label="True",fontsize=16,color="green",shape="box"];462 -> 355[label="",style="dashed", color="red", weight=0];
462[label="yu300 == yu40000 && yu301 == yu40001\n  Eq a  Eq b",fontsize=16,color="magenta"];462 -> 517[label="",style="dashed", color="magenta", weight=3];
462 -> 518[label="",style="dashed", color="magenta", weight=3];
463 -> 355[label="",style="dashed", color="red", weight=0];
463[label="yu300 == yu40000 && yu301 == yu40001 && yu302 == yu40002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];463 -> 519[label="",style="dashed", color="magenta", weight=3];
463 -> 520[label="",style="dashed", color="magenta", weight=3];
464[label="primEqChar (Char yu300) (Char yu40000)",fontsize=16,color="black",shape="box"];464 -> 521[label="",style="solid", color="black", weight=3];
465 -> 395[label="",style="dashed", color="red", weight=0];
465[label="primEqInt yu300 yu40000",fontsize=16,color="magenta"];465 -> 522[label="",style="dashed", color="magenta", weight=3];
465 -> 523[label="",style="dashed", color="magenta", weight=3];
466[label="primEqInt (Pos (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1127[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];466 -> 1127[label="",style="solid", color="burlywood", weight=9];
1127 -> 524[label="",style="solid", color="burlywood", weight=3];
1128[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];466 -> 1128[label="",style="solid", color="burlywood", weight=9];
1128 -> 525[label="",style="solid", color="burlywood", weight=3];
467[label="primEqInt (Pos Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1129[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];467 -> 1129[label="",style="solid", color="burlywood", weight=9];
1129 -> 526[label="",style="solid", color="burlywood", weight=3];
1130[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];467 -> 1130[label="",style="solid", color="burlywood", weight=9];
1130 -> 527[label="",style="solid", color="burlywood", weight=3];
468[label="primEqInt (Neg (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1131[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];468 -> 1131[label="",style="solid", color="burlywood", weight=9];
1131 -> 528[label="",style="solid", color="burlywood", weight=3];
1132[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];468 -> 1132[label="",style="solid", color="burlywood", weight=9];
1132 -> 529[label="",style="solid", color="burlywood", weight=3];
469[label="primEqInt (Neg Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1133[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];469 -> 1133[label="",style="solid", color="burlywood", weight=9];
1133 -> 530[label="",style="solid", color="burlywood", weight=3];
1134[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];469 -> 1134[label="",style="solid", color="burlywood", weight=9];
1134 -> 531[label="",style="solid", color="burlywood", weight=3];
470[label="primEqFloat (Float yu300 yu301) (Float yu40000 yu40001)",fontsize=16,color="black",shape="box"];470 -> 532[label="",style="solid", color="black", weight=3];
471 -> 355[label="",style="dashed", color="red", weight=0];
471[label="yu300 == yu40000 && yu301 == yu40001\n  Integral a",fontsize=16,color="magenta"];471 -> 533[label="",style="dashed", color="magenta", weight=3];
471 -> 534[label="",style="dashed", color="magenta", weight=3];
472[label="yu310 == yu40010\n  Eq a",fontsize=16,color="blue",shape="box"];1136[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1136[label="",style="solid", color="blue", weight=9];
1136 -> 535[label="",style="solid", color="blue", weight=3];
1137[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1137[label="",style="solid", color="blue", weight=9];
1137 -> 536[label="",style="solid", color="blue", weight=3];
1138[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1138[label="",style="solid", color="blue", weight=9];
1138 -> 537[label="",style="solid", color="blue", weight=3];
1139[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1139[label="",style="solid", color="blue", weight=9];
1139 -> 538[label="",style="solid", color="blue", weight=3];
1140[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1140[label="",style="solid", color="blue", weight=9];
1140 -> 539[label="",style="solid", color="blue", weight=3];
1141[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1141[label="",style="solid", color="blue", weight=9];
1141 -> 540[label="",style="solid", color="blue", weight=3];
1142[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1142[label="",style="solid", color="blue", weight=9];
1142 -> 541[label="",style="solid", color="blue", weight=3];
1143[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1143[label="",style="solid", color="blue", weight=9];
1143 -> 542[label="",style="solid", color="blue", weight=3];
1144[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1144[label="",style="solid", color="blue", weight=9];
1144 -> 543[label="",style="solid", color="blue", weight=3];
1145[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1145[label="",style="solid", color="blue", weight=9];
1145 -> 544[label="",style="solid", color="blue", weight=3];
1146[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1146[label="",style="solid", color="blue", weight=9];
1146 -> 545[label="",style="solid", color="blue", weight=3];
1147[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1147[label="",style="solid", color="blue", weight=9];
1147 -> 546[label="",style="solid", color="blue", weight=3];
1148[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1148[label="",style="solid", color="blue", weight=9];
1148 -> 547[label="",style="solid", color="blue", weight=3];
1149[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1149[label="",style="solid", color="blue", weight=9];
1149 -> 548[label="",style="solid", color="blue", weight=3];
473 -> 357[label="",style="dashed", color="red", weight=0];
473[label="yu311 == yu40011\n  Eq a",fontsize=16,color="magenta"];473 -> 549[label="",style="dashed", color="magenta", weight=3];
473 -> 550[label="",style="dashed", color="magenta", weight=3];
288[label="yu18\n  Eq a",fontsize=16,color="green",shape="box"];289[label="yu13 : yu14\n  Eq a",fontsize=16,color="green",shape="box"];474 -> 360[label="",style="dashed", color="red", weight=0];
474[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];474 -> 551[label="",style="dashed", color="magenta", weight=3];
474 -> 552[label="",style="dashed", color="magenta", weight=3];
475 -> 361[label="",style="dashed", color="red", weight=0];
475[label="yu300 == yu40000",fontsize=16,color="magenta"];475 -> 553[label="",style="dashed", color="magenta", weight=3];
475 -> 554[label="",style="dashed", color="magenta", weight=3];
476 -> 362[label="",style="dashed", color="red", weight=0];
476[label="yu300 == yu40000",fontsize=16,color="magenta"];476 -> 555[label="",style="dashed", color="magenta", weight=3];
476 -> 556[label="",style="dashed", color="magenta", weight=3];
477 -> 363[label="",style="dashed", color="red", weight=0];
477[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];477 -> 557[label="",style="dashed", color="magenta", weight=3];
477 -> 558[label="",style="dashed", color="magenta", weight=3];
478 -> 357[label="",style="dashed", color="red", weight=0];
478[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];478 -> 559[label="",style="dashed", color="magenta", weight=3];
478 -> 560[label="",style="dashed", color="magenta", weight=3];
479 -> 365[label="",style="dashed", color="red", weight=0];
479[label="yu300 == yu40000",fontsize=16,color="magenta"];479 -> 561[label="",style="dashed", color="magenta", weight=3];
479 -> 562[label="",style="dashed", color="magenta", weight=3];
480 -> 366[label="",style="dashed", color="red", weight=0];
480[label="yu300 == yu40000",fontsize=16,color="magenta"];480 -> 563[label="",style="dashed", color="magenta", weight=3];
480 -> 564[label="",style="dashed", color="magenta", weight=3];
481 -> 367[label="",style="dashed", color="red", weight=0];
481[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];481 -> 565[label="",style="dashed", color="magenta", weight=3];
481 -> 566[label="",style="dashed", color="magenta", weight=3];
482 -> 368[label="",style="dashed", color="red", weight=0];
482[label="yu300 == yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];482 -> 567[label="",style="dashed", color="magenta", weight=3];
482 -> 568[label="",style="dashed", color="magenta", weight=3];
483 -> 369[label="",style="dashed", color="red", weight=0];
483[label="yu300 == yu40000",fontsize=16,color="magenta"];483 -> 569[label="",style="dashed", color="magenta", weight=3];
483 -> 570[label="",style="dashed", color="magenta", weight=3];
484 -> 370[label="",style="dashed", color="red", weight=0];
484[label="yu300 == yu40000",fontsize=16,color="magenta"];484 -> 571[label="",style="dashed", color="magenta", weight=3];
484 -> 572[label="",style="dashed", color="magenta", weight=3];
485 -> 371[label="",style="dashed", color="red", weight=0];
485[label="yu300 == yu40000",fontsize=16,color="magenta"];485 -> 573[label="",style="dashed", color="magenta", weight=3];
485 -> 574[label="",style="dashed", color="magenta", weight=3];
486 -> 372[label="",style="dashed", color="red", weight=0];
486[label="yu300 == yu40000",fontsize=16,color="magenta"];486 -> 575[label="",style="dashed", color="magenta", weight=3];
486 -> 576[label="",style="dashed", color="magenta", weight=3];
487 -> 373[label="",style="dashed", color="red", weight=0];
487[label="yu300 == yu40000\n  Integral a",fontsize=16,color="magenta"];487 -> 577[label="",style="dashed", color="magenta", weight=3];
487 -> 578[label="",style="dashed", color="magenta", weight=3];
488 -> 371[label="",style="dashed", color="red", weight=0];
488[label="yu300 * yu40000 == yu301 * yu40001",fontsize=16,color="magenta"];488 -> 579[label="",style="dashed", color="magenta", weight=3];
488 -> 580[label="",style="dashed", color="magenta", weight=3];
489 -> 360[label="",style="dashed", color="red", weight=0];
489[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];489 -> 581[label="",style="dashed", color="magenta", weight=3];
489 -> 582[label="",style="dashed", color="magenta", weight=3];
490 -> 361[label="",style="dashed", color="red", weight=0];
490[label="yu300 == yu40000",fontsize=16,color="magenta"];490 -> 583[label="",style="dashed", color="magenta", weight=3];
490 -> 584[label="",style="dashed", color="magenta", weight=3];
491 -> 362[label="",style="dashed", color="red", weight=0];
491[label="yu300 == yu40000",fontsize=16,color="magenta"];491 -> 585[label="",style="dashed", color="magenta", weight=3];
491 -> 586[label="",style="dashed", color="magenta", weight=3];
492 -> 363[label="",style="dashed", color="red", weight=0];
492[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];492 -> 587[label="",style="dashed", color="magenta", weight=3];
492 -> 588[label="",style="dashed", color="magenta", weight=3];
493 -> 357[label="",style="dashed", color="red", weight=0];
493[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];493 -> 589[label="",style="dashed", color="magenta", weight=3];
493 -> 590[label="",style="dashed", color="magenta", weight=3];
494 -> 365[label="",style="dashed", color="red", weight=0];
494[label="yu300 == yu40000",fontsize=16,color="magenta"];494 -> 591[label="",style="dashed", color="magenta", weight=3];
494 -> 592[label="",style="dashed", color="magenta", weight=3];
495 -> 366[label="",style="dashed", color="red", weight=0];
495[label="yu300 == yu40000",fontsize=16,color="magenta"];495 -> 593[label="",style="dashed", color="magenta", weight=3];
495 -> 594[label="",style="dashed", color="magenta", weight=3];
496 -> 367[label="",style="dashed", color="red", weight=0];
496[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];496 -> 595[label="",style="dashed", color="magenta", weight=3];
496 -> 596[label="",style="dashed", color="magenta", weight=3];
497 -> 368[label="",style="dashed", color="red", weight=0];
497[label="yu300 == yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];497 -> 597[label="",style="dashed", color="magenta", weight=3];
497 -> 598[label="",style="dashed", color="magenta", weight=3];
498 -> 369[label="",style="dashed", color="red", weight=0];
498[label="yu300 == yu40000",fontsize=16,color="magenta"];498 -> 599[label="",style="dashed", color="magenta", weight=3];
498 -> 600[label="",style="dashed", color="magenta", weight=3];
499 -> 370[label="",style="dashed", color="red", weight=0];
499[label="yu300 == yu40000",fontsize=16,color="magenta"];499 -> 601[label="",style="dashed", color="magenta", weight=3];
499 -> 602[label="",style="dashed", color="magenta", weight=3];
500 -> 371[label="",style="dashed", color="red", weight=0];
500[label="yu300 == yu40000",fontsize=16,color="magenta"];500 -> 603[label="",style="dashed", color="magenta", weight=3];
500 -> 604[label="",style="dashed", color="magenta", weight=3];
501 -> 372[label="",style="dashed", color="red", weight=0];
501[label="yu300 == yu40000",fontsize=16,color="magenta"];501 -> 605[label="",style="dashed", color="magenta", weight=3];
501 -> 606[label="",style="dashed", color="magenta", weight=3];
502 -> 373[label="",style="dashed", color="red", weight=0];
502[label="yu300 == yu40000\n  Integral a",fontsize=16,color="magenta"];502 -> 607[label="",style="dashed", color="magenta", weight=3];
502 -> 608[label="",style="dashed", color="magenta", weight=3];
503 -> 360[label="",style="dashed", color="red", weight=0];
503[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];503 -> 609[label="",style="dashed", color="magenta", weight=3];
503 -> 610[label="",style="dashed", color="magenta", weight=3];
504 -> 361[label="",style="dashed", color="red", weight=0];
504[label="yu300 == yu40000",fontsize=16,color="magenta"];504 -> 611[label="",style="dashed", color="magenta", weight=3];
504 -> 612[label="",style="dashed", color="magenta", weight=3];
505 -> 362[label="",style="dashed", color="red", weight=0];
505[label="yu300 == yu40000",fontsize=16,color="magenta"];505 -> 613[label="",style="dashed", color="magenta", weight=3];
505 -> 614[label="",style="dashed", color="magenta", weight=3];
506 -> 363[label="",style="dashed", color="red", weight=0];
506[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];506 -> 615[label="",style="dashed", color="magenta", weight=3];
506 -> 616[label="",style="dashed", color="magenta", weight=3];
507 -> 357[label="",style="dashed", color="red", weight=0];
507[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];507 -> 617[label="",style="dashed", color="magenta", weight=3];
507 -> 618[label="",style="dashed", color="magenta", weight=3];
508 -> 365[label="",style="dashed", color="red", weight=0];
508[label="yu300 == yu40000",fontsize=16,color="magenta"];508 -> 619[label="",style="dashed", color="magenta", weight=3];
508 -> 620[label="",style="dashed", color="magenta", weight=3];
509 -> 366[label="",style="dashed", color="red", weight=0];
509[label="yu300 == yu40000",fontsize=16,color="magenta"];509 -> 621[label="",style="dashed", color="magenta", weight=3];
509 -> 622[label="",style="dashed", color="magenta", weight=3];
510 -> 367[label="",style="dashed", color="red", weight=0];
510[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];510 -> 623[label="",style="dashed", color="magenta", weight=3];
510 -> 624[label="",style="dashed", color="magenta", weight=3];
511 -> 368[label="",style="dashed", color="red", weight=0];
511[label="yu300 == yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];511 -> 625[label="",style="dashed", color="magenta", weight=3];
511 -> 626[label="",style="dashed", color="magenta", weight=3];
512 -> 369[label="",style="dashed", color="red", weight=0];
512[label="yu300 == yu40000",fontsize=16,color="magenta"];512 -> 627[label="",style="dashed", color="magenta", weight=3];
512 -> 628[label="",style="dashed", color="magenta", weight=3];
513 -> 370[label="",style="dashed", color="red", weight=0];
513[label="yu300 == yu40000",fontsize=16,color="magenta"];513 -> 629[label="",style="dashed", color="magenta", weight=3];
513 -> 630[label="",style="dashed", color="magenta", weight=3];
514 -> 371[label="",style="dashed", color="red", weight=0];
514[label="yu300 == yu40000",fontsize=16,color="magenta"];514 -> 631[label="",style="dashed", color="magenta", weight=3];
514 -> 632[label="",style="dashed", color="magenta", weight=3];
515 -> 372[label="",style="dashed", color="red", weight=0];
515[label="yu300 == yu40000",fontsize=16,color="magenta"];515 -> 633[label="",style="dashed", color="magenta", weight=3];
515 -> 634[label="",style="dashed", color="magenta", weight=3];
516 -> 373[label="",style="dashed", color="red", weight=0];
516[label="yu300 == yu40000\n  Integral a",fontsize=16,color="magenta"];516 -> 635[label="",style="dashed", color="magenta", weight=3];
516 -> 636[label="",style="dashed", color="magenta", weight=3];
517[label="yu300 == yu40000\n  Eq a",fontsize=16,color="blue",shape="box"];1194[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1194[label="",style="solid", color="blue", weight=9];
1194 -> 637[label="",style="solid", color="blue", weight=3];
1195[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1195[label="",style="solid", color="blue", weight=9];
1195 -> 638[label="",style="solid", color="blue", weight=3];
1196[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1196[label="",style="solid", color="blue", weight=9];
1196 -> 639[label="",style="solid", color="blue", weight=3];
1197[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1197[label="",style="solid", color="blue", weight=9];
1197 -> 640[label="",style="solid", color="blue", weight=3];
1198[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1198[label="",style="solid", color="blue", weight=9];
1198 -> 641[label="",style="solid", color="blue", weight=3];
1199[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1199[label="",style="solid", color="blue", weight=9];
1199 -> 642[label="",style="solid", color="blue", weight=3];
1200[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1200[label="",style="solid", color="blue", weight=9];
1200 -> 643[label="",style="solid", color="blue", weight=3];
1201[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1201[label="",style="solid", color="blue", weight=9];
1201 -> 644[label="",style="solid", color="blue", weight=3];
1202[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1202[label="",style="solid", color="blue", weight=9];
1202 -> 645[label="",style="solid", color="blue", weight=3];
1203[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1203[label="",style="solid", color="blue", weight=9];
1203 -> 646[label="",style="solid", color="blue", weight=3];
1204[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1204[label="",style="solid", color="blue", weight=9];
1204 -> 647[label="",style="solid", color="blue", weight=3];
1205[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1205[label="",style="solid", color="blue", weight=9];
1205 -> 648[label="",style="solid", color="blue", weight=3];
1206[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1206[label="",style="solid", color="blue", weight=9];
1206 -> 649[label="",style="solid", color="blue", weight=3];
1207[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];517 -> 1207[label="",style="solid", color="blue", weight=9];
1207 -> 650[label="",style="solid", color="blue", weight=3];
518[label="yu301 == yu40001\n  Eq a",fontsize=16,color="blue",shape="box"];1208[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1208[label="",style="solid", color="blue", weight=9];
1208 -> 651[label="",style="solid", color="blue", weight=3];
1209[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1209[label="",style="solid", color="blue", weight=9];
1209 -> 652[label="",style="solid", color="blue", weight=3];
1210[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1210[label="",style="solid", color="blue", weight=9];
1210 -> 653[label="",style="solid", color="blue", weight=3];
1211[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1211[label="",style="solid", color="blue", weight=9];
1211 -> 654[label="",style="solid", color="blue", weight=3];
1212[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1212[label="",style="solid", color="blue", weight=9];
1212 -> 655[label="",style="solid", color="blue", weight=3];
1213[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1213[label="",style="solid", color="blue", weight=9];
1213 -> 656[label="",style="solid", color="blue", weight=3];
1214[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1214[label="",style="solid", color="blue", weight=9];
1214 -> 657[label="",style="solid", color="blue", weight=3];
1215[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1215[label="",style="solid", color="blue", weight=9];
1215 -> 658[label="",style="solid", color="blue", weight=3];
1216[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1216[label="",style="solid", color="blue", weight=9];
1216 -> 659[label="",style="solid", color="blue", weight=3];
1217[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1217[label="",style="solid", color="blue", weight=9];
1217 -> 660[label="",style="solid", color="blue", weight=3];
1218[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1218[label="",style="solid", color="blue", weight=9];
1218 -> 661[label="",style="solid", color="blue", weight=3];
1219[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1219[label="",style="solid", color="blue", weight=9];
1219 -> 662[label="",style="solid", color="blue", weight=3];
1220[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1220[label="",style="solid", color="blue", weight=9];
1220 -> 663[label="",style="solid", color="blue", weight=3];
1221[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1221[label="",style="solid", color="blue", weight=9];
1221 -> 664[label="",style="solid", color="blue", weight=3];
519[label="yu300 == yu40000\n  Eq a",fontsize=16,color="blue",shape="box"];1222[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1222[label="",style="solid", color="blue", weight=9];
1222 -> 665[label="",style="solid", color="blue", weight=3];
1223[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1223[label="",style="solid", color="blue", weight=9];
1223 -> 666[label="",style="solid", color="blue", weight=3];
1224[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1224[label="",style="solid", color="blue", weight=9];
1224 -> 667[label="",style="solid", color="blue", weight=3];
1225[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1225[label="",style="solid", color="blue", weight=9];
1225 -> 668[label="",style="solid", color="blue", weight=3];
1226[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1226[label="",style="solid", color="blue", weight=9];
1226 -> 669[label="",style="solid", color="blue", weight=3];
1227[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1227[label="",style="solid", color="blue", weight=9];
1227 -> 670[label="",style="solid", color="blue", weight=3];
1228[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1228[label="",style="solid", color="blue", weight=9];
1228 -> 671[label="",style="solid", color="blue", weight=3];
1229[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1229[label="",style="solid", color="blue", weight=9];
1229 -> 672[label="",style="solid", color="blue", weight=3];
1230[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1230[label="",style="solid", color="blue", weight=9];
1230 -> 673[label="",style="solid", color="blue", weight=3];
1231[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1231[label="",style="solid", color="blue", weight=9];
1231 -> 674[label="",style="solid", color="blue", weight=3];
1232[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1232[label="",style="solid", color="blue", weight=9];
1232 -> 675[label="",style="solid", color="blue", weight=3];
1233[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1233[label="",style="solid", color="blue", weight=9];
1233 -> 676[label="",style="solid", color="blue", weight=3];
1234[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1234[label="",style="solid", color="blue", weight=9];
1234 -> 677[label="",style="solid", color="blue", weight=3];
1235[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1235[label="",style="solid", color="blue", weight=9];
1235 -> 678[label="",style="solid", color="blue", weight=3];
520 -> 355[label="",style="dashed", color="red", weight=0];
520[label="yu301 == yu40001 && yu302 == yu40002\n  Eq a  Eq b",fontsize=16,color="magenta"];520 -> 679[label="",style="dashed", color="magenta", weight=3];
520 -> 680[label="",style="dashed", color="magenta", weight=3];
521[label="primEqNat yu300 yu40000",fontsize=16,color="burlywood",shape="triangle"];1237[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];521 -> 1237[label="",style="solid", color="burlywood", weight=9];
1237 -> 681[label="",style="solid", color="burlywood", weight=3];
1238[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];521 -> 1238[label="",style="solid", color="burlywood", weight=9];
1238 -> 682[label="",style="solid", color="burlywood", weight=3];
522[label="yu40000",fontsize=16,color="green",shape="box"];523[label="yu300",fontsize=16,color="green",shape="box"];524[label="primEqInt (Pos (Succ yu3000)) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1239[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];524 -> 1239[label="",style="solid", color="burlywood", weight=9];
1239 -> 683[label="",style="solid", color="burlywood", weight=3];
1240[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];524 -> 1240[label="",style="solid", color="burlywood", weight=9];
1240 -> 684[label="",style="solid", color="burlywood", weight=3];
525[label="primEqInt (Pos (Succ yu3000)) (Neg yu40000)",fontsize=16,color="black",shape="box"];525 -> 685[label="",style="solid", color="black", weight=3];
526[label="primEqInt (Pos Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1241[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];526 -> 1241[label="",style="solid", color="burlywood", weight=9];
1241 -> 686[label="",style="solid", color="burlywood", weight=3];
1242[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];526 -> 1242[label="",style="solid", color="burlywood", weight=9];
1242 -> 687[label="",style="solid", color="burlywood", weight=3];
527[label="primEqInt (Pos Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1243[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];527 -> 1243[label="",style="solid", color="burlywood", weight=9];
1243 -> 688[label="",style="solid", color="burlywood", weight=3];
1244[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];527 -> 1244[label="",style="solid", color="burlywood", weight=9];
1244 -> 689[label="",style="solid", color="burlywood", weight=3];
528[label="primEqInt (Neg (Succ yu3000)) (Pos yu40000)",fontsize=16,color="black",shape="box"];528 -> 690[label="",style="solid", color="black", weight=3];
529[label="primEqInt (Neg (Succ yu3000)) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1245[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];529 -> 1245[label="",style="solid", color="burlywood", weight=9];
1245 -> 691[label="",style="solid", color="burlywood", weight=3];
1246[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];529 -> 1246[label="",style="solid", color="burlywood", weight=9];
1246 -> 692[label="",style="solid", color="burlywood", weight=3];
530[label="primEqInt (Neg Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1247[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];530 -> 1247[label="",style="solid", color="burlywood", weight=9];
1247 -> 693[label="",style="solid", color="burlywood", weight=3];
1248[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];530 -> 1248[label="",style="solid", color="burlywood", weight=9];
1248 -> 694[label="",style="solid", color="burlywood", weight=3];
531[label="primEqInt (Neg Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1249[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];531 -> 1249[label="",style="solid", color="burlywood", weight=9];
1249 -> 695[label="",style="solid", color="burlywood", weight=3];
1250[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];531 -> 1250[label="",style="solid", color="burlywood", weight=9];
1250 -> 696[label="",style="solid", color="burlywood", weight=3];
532 -> 371[label="",style="dashed", color="red", weight=0];
532[label="yu300 * yu40000 == yu301 * yu40001",fontsize=16,color="magenta"];532 -> 697[label="",style="dashed", color="magenta", weight=3];
532 -> 698[label="",style="dashed", color="magenta", weight=3];
533[label="yu300 == yu40000\n  Integral a",fontsize=16,color="blue",shape="box"];1252[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];533 -> 1252[label="",style="solid", color="blue", weight=9];
1252 -> 699[label="",style="solid", color="blue", weight=3];
1253[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];533 -> 1253[label="",style="solid", color="blue", weight=9];
1253 -> 700[label="",style="solid", color="blue", weight=3];
534[label="yu301 == yu40001\n  Integral a",fontsize=16,color="blue",shape="box"];1254[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];534 -> 1254[label="",style="solid", color="blue", weight=9];
1254 -> 701[label="",style="solid", color="blue", weight=3];
1255[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];534 -> 1255[label="",style="solid", color="blue", weight=9];
1255 -> 702[label="",style="solid", color="blue", weight=3];
535 -> 360[label="",style="dashed", color="red", weight=0];
535[label="yu310 == yu40010\n  Eq a",fontsize=16,color="magenta"];535 -> 703[label="",style="dashed", color="magenta", weight=3];
535 -> 704[label="",style="dashed", color="magenta", weight=3];
536 -> 361[label="",style="dashed", color="red", weight=0];
536[label="yu310 == yu40010",fontsize=16,color="magenta"];536 -> 705[label="",style="dashed", color="magenta", weight=3];
536 -> 706[label="",style="dashed", color="magenta", weight=3];
537 -> 362[label="",style="dashed", color="red", weight=0];
537[label="yu310 == yu40010",fontsize=16,color="magenta"];537 -> 707[label="",style="dashed", color="magenta", weight=3];
537 -> 708[label="",style="dashed", color="magenta", weight=3];
538 -> 363[label="",style="dashed", color="red", weight=0];
538[label="yu310 == yu40010\n  Eq a  Eq b",fontsize=16,color="magenta"];538 -> 709[label="",style="dashed", color="magenta", weight=3];
538 -> 710[label="",style="dashed", color="magenta", weight=3];
539 -> 357[label="",style="dashed", color="red", weight=0];
539[label="yu310 == yu40010\n  Eq a",fontsize=16,color="magenta"];539 -> 711[label="",style="dashed", color="magenta", weight=3];
539 -> 712[label="",style="dashed", color="magenta", weight=3];
540 -> 365[label="",style="dashed", color="red", weight=0];
540[label="yu310 == yu40010",fontsize=16,color="magenta"];540 -> 713[label="",style="dashed", color="magenta", weight=3];
540 -> 714[label="",style="dashed", color="magenta", weight=3];
541 -> 366[label="",style="dashed", color="red", weight=0];
541[label="yu310 == yu40010",fontsize=16,color="magenta"];541 -> 715[label="",style="dashed", color="magenta", weight=3];
541 -> 716[label="",style="dashed", color="magenta", weight=3];
542 -> 367[label="",style="dashed", color="red", weight=0];
542[label="yu310 == yu40010\n  Eq a  Eq b",fontsize=16,color="magenta"];542 -> 717[label="",style="dashed", color="magenta", weight=3];
542 -> 718[label="",style="dashed", color="magenta", weight=3];
543 -> 368[label="",style="dashed", color="red", weight=0];
543[label="yu310 == yu40010\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];543 -> 719[label="",style="dashed", color="magenta", weight=3];
543 -> 720[label="",style="dashed", color="magenta", weight=3];
544 -> 369[label="",style="dashed", color="red", weight=0];
544[label="yu310 == yu40010",fontsize=16,color="magenta"];544 -> 721[label="",style="dashed", color="magenta", weight=3];
544 -> 722[label="",style="dashed", color="magenta", weight=3];
545 -> 370[label="",style="dashed", color="red", weight=0];
545[label="yu310 == yu40010",fontsize=16,color="magenta"];545 -> 723[label="",style="dashed", color="magenta", weight=3];
545 -> 724[label="",style="dashed", color="magenta", weight=3];
546 -> 371[label="",style="dashed", color="red", weight=0];
546[label="yu310 == yu40010",fontsize=16,color="magenta"];546 -> 725[label="",style="dashed", color="magenta", weight=3];
546 -> 726[label="",style="dashed", color="magenta", weight=3];
547 -> 372[label="",style="dashed", color="red", weight=0];
547[label="yu310 == yu40010",fontsize=16,color="magenta"];547 -> 727[label="",style="dashed", color="magenta", weight=3];
547 -> 728[label="",style="dashed", color="magenta", weight=3];
548 -> 373[label="",style="dashed", color="red", weight=0];
548[label="yu310 == yu40010\n  Integral a",fontsize=16,color="magenta"];548 -> 729[label="",style="dashed", color="magenta", weight=3];
548 -> 730[label="",style="dashed", color="magenta", weight=3];
549[label="yu40011\n  Eq a",fontsize=16,color="green",shape="box"];550[label="yu311\n  Eq a",fontsize=16,color="green",shape="box"];551[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];552[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];553[label="yu40000",fontsize=16,color="green",shape="box"];554[label="yu300",fontsize=16,color="green",shape="box"];555[label="yu40000",fontsize=16,color="green",shape="box"];556[label="yu300",fontsize=16,color="green",shape="box"];557[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];558[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];559[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];560[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];561[label="yu40000",fontsize=16,color="green",shape="box"];562[label="yu300",fontsize=16,color="green",shape="box"];563[label="yu40000",fontsize=16,color="green",shape="box"];564[label="yu300",fontsize=16,color="green",shape="box"];565[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];566[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];567[label="yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];568[label="yu300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];569[label="yu40000",fontsize=16,color="green",shape="box"];570[label="yu300",fontsize=16,color="green",shape="box"];571[label="yu40000",fontsize=16,color="green",shape="box"];572[label="yu300",fontsize=16,color="green",shape="box"];573[label="yu40000",fontsize=16,color="green",shape="box"];574[label="yu300",fontsize=16,color="green",shape="box"];575[label="yu40000",fontsize=16,color="green",shape="box"];576[label="yu300",fontsize=16,color="green",shape="box"];577[label="yu40000\n  Integral a",fontsize=16,color="green",shape="box"];578[label="yu300\n  Integral a",fontsize=16,color="green",shape="box"];579[label="yu301 * yu40001",fontsize=16,color="black",shape="triangle"];579 -> 731[label="",style="solid", color="black", weight=3];
580 -> 579[label="",style="dashed", color="red", weight=0];
580[label="yu300 * yu40000",fontsize=16,color="magenta"];580 -> 732[label="",style="dashed", color="magenta", weight=3];
580 -> 733[label="",style="dashed", color="magenta", weight=3];
581[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];582[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];583[label="yu40000",fontsize=16,color="green",shape="box"];584[label="yu300",fontsize=16,color="green",shape="box"];585[label="yu40000",fontsize=16,color="green",shape="box"];586[label="yu300",fontsize=16,color="green",shape="box"];587[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];588[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];589[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];590[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];591[label="yu40000",fontsize=16,color="green",shape="box"];592[label="yu300",fontsize=16,color="green",shape="box"];593[label="yu40000",fontsize=16,color="green",shape="box"];594[label="yu300",fontsize=16,color="green",shape="box"];595[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];596[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];597[label="yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];598[label="yu300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];599[label="yu40000",fontsize=16,color="green",shape="box"];600[label="yu300",fontsize=16,color="green",shape="box"];601[label="yu40000",fontsize=16,color="green",shape="box"];602[label="yu300",fontsize=16,color="green",shape="box"];603[label="yu40000",fontsize=16,color="green",shape="box"];604[label="yu300",fontsize=16,color="green",shape="box"];605[label="yu40000",fontsize=16,color="green",shape="box"];606[label="yu300",fontsize=16,color="green",shape="box"];607[label="yu40000\n  Integral a",fontsize=16,color="green",shape="box"];608[label="yu300\n  Integral a",fontsize=16,color="green",shape="box"];609[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];610[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];611[label="yu40000",fontsize=16,color="green",shape="box"];612[label="yu300",fontsize=16,color="green",shape="box"];613[label="yu40000",fontsize=16,color="green",shape="box"];614[label="yu300",fontsize=16,color="green",shape="box"];615[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];616[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];617[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];618[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];619[label="yu40000",fontsize=16,color="green",shape="box"];620[label="yu300",fontsize=16,color="green",shape="box"];621[label="yu40000",fontsize=16,color="green",shape="box"];622[label="yu300",fontsize=16,color="green",shape="box"];623[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];624[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];625[label="yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];626[label="yu300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];627[label="yu40000",fontsize=16,color="green",shape="box"];628[label="yu300",fontsize=16,color="green",shape="box"];629[label="yu40000",fontsize=16,color="green",shape="box"];630[label="yu300",fontsize=16,color="green",shape="box"];631[label="yu40000",fontsize=16,color="green",shape="box"];632[label="yu300",fontsize=16,color="green",shape="box"];633[label="yu40000",fontsize=16,color="green",shape="box"];634[label="yu300",fontsize=16,color="green",shape="box"];635[label="yu40000\n  Integral a",fontsize=16,color="green",shape="box"];636[label="yu300\n  Integral a",fontsize=16,color="green",shape="box"];637 -> 360[label="",style="dashed", color="red", weight=0];
637[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];637 -> 734[label="",style="dashed", color="magenta", weight=3];
637 -> 735[label="",style="dashed", color="magenta", weight=3];
638 -> 361[label="",style="dashed", color="red", weight=0];
638[label="yu300 == yu40000",fontsize=16,color="magenta"];638 -> 736[label="",style="dashed", color="magenta", weight=3];
638 -> 737[label="",style="dashed", color="magenta", weight=3];
639 -> 362[label="",style="dashed", color="red", weight=0];
639[label="yu300 == yu40000",fontsize=16,color="magenta"];639 -> 738[label="",style="dashed", color="magenta", weight=3];
639 -> 739[label="",style="dashed", color="magenta", weight=3];
640 -> 363[label="",style="dashed", color="red", weight=0];
640[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];640 -> 740[label="",style="dashed", color="magenta", weight=3];
640 -> 741[label="",style="dashed", color="magenta", weight=3];
641 -> 357[label="",style="dashed", color="red", weight=0];
641[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];641 -> 742[label="",style="dashed", color="magenta", weight=3];
641 -> 743[label="",style="dashed", color="magenta", weight=3];
642 -> 365[label="",style="dashed", color="red", weight=0];
642[label="yu300 == yu40000",fontsize=16,color="magenta"];642 -> 744[label="",style="dashed", color="magenta", weight=3];
642 -> 745[label="",style="dashed", color="magenta", weight=3];
643 -> 366[label="",style="dashed", color="red", weight=0];
643[label="yu300 == yu40000",fontsize=16,color="magenta"];643 -> 746[label="",style="dashed", color="magenta", weight=3];
643 -> 747[label="",style="dashed", color="magenta", weight=3];
644 -> 367[label="",style="dashed", color="red", weight=0];
644[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];644 -> 748[label="",style="dashed", color="magenta", weight=3];
644 -> 749[label="",style="dashed", color="magenta", weight=3];
645 -> 368[label="",style="dashed", color="red", weight=0];
645[label="yu300 == yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];645 -> 750[label="",style="dashed", color="magenta", weight=3];
645 -> 751[label="",style="dashed", color="magenta", weight=3];
646 -> 369[label="",style="dashed", color="red", weight=0];
646[label="yu300 == yu40000",fontsize=16,color="magenta"];646 -> 752[label="",style="dashed", color="magenta", weight=3];
646 -> 753[label="",style="dashed", color="magenta", weight=3];
647 -> 370[label="",style="dashed", color="red", weight=0];
647[label="yu300 == yu40000",fontsize=16,color="magenta"];647 -> 754[label="",style="dashed", color="magenta", weight=3];
647 -> 755[label="",style="dashed", color="magenta", weight=3];
648 -> 371[label="",style="dashed", color="red", weight=0];
648[label="yu300 == yu40000",fontsize=16,color="magenta"];648 -> 756[label="",style="dashed", color="magenta", weight=3];
648 -> 757[label="",style="dashed", color="magenta", weight=3];
649 -> 372[label="",style="dashed", color="red", weight=0];
649[label="yu300 == yu40000",fontsize=16,color="magenta"];649 -> 758[label="",style="dashed", color="magenta", weight=3];
649 -> 759[label="",style="dashed", color="magenta", weight=3];
650 -> 373[label="",style="dashed", color="red", weight=0];
650[label="yu300 == yu40000\n  Integral a",fontsize=16,color="magenta"];650 -> 760[label="",style="dashed", color="magenta", weight=3];
650 -> 761[label="",style="dashed", color="magenta", weight=3];
651 -> 360[label="",style="dashed", color="red", weight=0];
651[label="yu301 == yu40001\n  Eq a",fontsize=16,color="magenta"];651 -> 762[label="",style="dashed", color="magenta", weight=3];
651 -> 763[label="",style="dashed", color="magenta", weight=3];
652 -> 361[label="",style="dashed", color="red", weight=0];
652[label="yu301 == yu40001",fontsize=16,color="magenta"];652 -> 764[label="",style="dashed", color="magenta", weight=3];
652 -> 765[label="",style="dashed", color="magenta", weight=3];
653 -> 362[label="",style="dashed", color="red", weight=0];
653[label="yu301 == yu40001",fontsize=16,color="magenta"];653 -> 766[label="",style="dashed", color="magenta", weight=3];
653 -> 767[label="",style="dashed", color="magenta", weight=3];
654 -> 363[label="",style="dashed", color="red", weight=0];
654[label="yu301 == yu40001\n  Eq a  Eq b",fontsize=16,color="magenta"];654 -> 768[label="",style="dashed", color="magenta", weight=3];
654 -> 769[label="",style="dashed", color="magenta", weight=3];
655 -> 357[label="",style="dashed", color="red", weight=0];
655[label="yu301 == yu40001\n  Eq a",fontsize=16,color="magenta"];655 -> 770[label="",style="dashed", color="magenta", weight=3];
655 -> 771[label="",style="dashed", color="magenta", weight=3];
656 -> 365[label="",style="dashed", color="red", weight=0];
656[label="yu301 == yu40001",fontsize=16,color="magenta"];656 -> 772[label="",style="dashed", color="magenta", weight=3];
656 -> 773[label="",style="dashed", color="magenta", weight=3];
657 -> 366[label="",style="dashed", color="red", weight=0];
657[label="yu301 == yu40001",fontsize=16,color="magenta"];657 -> 774[label="",style="dashed", color="magenta", weight=3];
657 -> 775[label="",style="dashed", color="magenta", weight=3];
658 -> 367[label="",style="dashed", color="red", weight=0];
658[label="yu301 == yu40001\n  Eq a  Eq b",fontsize=16,color="magenta"];658 -> 776[label="",style="dashed", color="magenta", weight=3];
658 -> 777[label="",style="dashed", color="magenta", weight=3];
659 -> 368[label="",style="dashed", color="red", weight=0];
659[label="yu301 == yu40001\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];659 -> 778[label="",style="dashed", color="magenta", weight=3];
659 -> 779[label="",style="dashed", color="magenta", weight=3];
660 -> 369[label="",style="dashed", color="red", weight=0];
660[label="yu301 == yu40001",fontsize=16,color="magenta"];660 -> 780[label="",style="dashed", color="magenta", weight=3];
660 -> 781[label="",style="dashed", color="magenta", weight=3];
661 -> 370[label="",style="dashed", color="red", weight=0];
661[label="yu301 == yu40001",fontsize=16,color="magenta"];661 -> 782[label="",style="dashed", color="magenta", weight=3];
661 -> 783[label="",style="dashed", color="magenta", weight=3];
662 -> 371[label="",style="dashed", color="red", weight=0];
662[label="yu301 == yu40001",fontsize=16,color="magenta"];662 -> 784[label="",style="dashed", color="magenta", weight=3];
662 -> 785[label="",style="dashed", color="magenta", weight=3];
663 -> 372[label="",style="dashed", color="red", weight=0];
663[label="yu301 == yu40001",fontsize=16,color="magenta"];663 -> 786[label="",style="dashed", color="magenta", weight=3];
663 -> 787[label="",style="dashed", color="magenta", weight=3];
664 -> 373[label="",style="dashed", color="red", weight=0];
664[label="yu301 == yu40001\n  Integral a",fontsize=16,color="magenta"];664 -> 788[label="",style="dashed", color="magenta", weight=3];
664 -> 789[label="",style="dashed", color="magenta", weight=3];
665 -> 360[label="",style="dashed", color="red", weight=0];
665[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];665 -> 790[label="",style="dashed", color="magenta", weight=3];
665 -> 791[label="",style="dashed", color="magenta", weight=3];
666 -> 361[label="",style="dashed", color="red", weight=0];
666[label="yu300 == yu40000",fontsize=16,color="magenta"];666 -> 792[label="",style="dashed", color="magenta", weight=3];
666 -> 793[label="",style="dashed", color="magenta", weight=3];
667 -> 362[label="",style="dashed", color="red", weight=0];
667[label="yu300 == yu40000",fontsize=16,color="magenta"];667 -> 794[label="",style="dashed", color="magenta", weight=3];
667 -> 795[label="",style="dashed", color="magenta", weight=3];
668 -> 363[label="",style="dashed", color="red", weight=0];
668[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];668 -> 796[label="",style="dashed", color="magenta", weight=3];
668 -> 797[label="",style="dashed", color="magenta", weight=3];
669 -> 357[label="",style="dashed", color="red", weight=0];
669[label="yu300 == yu40000\n  Eq a",fontsize=16,color="magenta"];669 -> 798[label="",style="dashed", color="magenta", weight=3];
669 -> 799[label="",style="dashed", color="magenta", weight=3];
670 -> 365[label="",style="dashed", color="red", weight=0];
670[label="yu300 == yu40000",fontsize=16,color="magenta"];670 -> 800[label="",style="dashed", color="magenta", weight=3];
670 -> 801[label="",style="dashed", color="magenta", weight=3];
671 -> 366[label="",style="dashed", color="red", weight=0];
671[label="yu300 == yu40000",fontsize=16,color="magenta"];671 -> 802[label="",style="dashed", color="magenta", weight=3];
671 -> 803[label="",style="dashed", color="magenta", weight=3];
672 -> 367[label="",style="dashed", color="red", weight=0];
672[label="yu300 == yu40000\n  Eq a  Eq b",fontsize=16,color="magenta"];672 -> 804[label="",style="dashed", color="magenta", weight=3];
672 -> 805[label="",style="dashed", color="magenta", weight=3];
673 -> 368[label="",style="dashed", color="red", weight=0];
673[label="yu300 == yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];673 -> 806[label="",style="dashed", color="magenta", weight=3];
673 -> 807[label="",style="dashed", color="magenta", weight=3];
674 -> 369[label="",style="dashed", color="red", weight=0];
674[label="yu300 == yu40000",fontsize=16,color="magenta"];674 -> 808[label="",style="dashed", color="magenta", weight=3];
674 -> 809[label="",style="dashed", color="magenta", weight=3];
675 -> 370[label="",style="dashed", color="red", weight=0];
675[label="yu300 == yu40000",fontsize=16,color="magenta"];675 -> 810[label="",style="dashed", color="magenta", weight=3];
675 -> 811[label="",style="dashed", color="magenta", weight=3];
676 -> 371[label="",style="dashed", color="red", weight=0];
676[label="yu300 == yu40000",fontsize=16,color="magenta"];676 -> 812[label="",style="dashed", color="magenta", weight=3];
676 -> 813[label="",style="dashed", color="magenta", weight=3];
677 -> 372[label="",style="dashed", color="red", weight=0];
677[label="yu300 == yu40000",fontsize=16,color="magenta"];677 -> 814[label="",style="dashed", color="magenta", weight=3];
677 -> 815[label="",style="dashed", color="magenta", weight=3];
678 -> 373[label="",style="dashed", color="red", weight=0];
678[label="yu300 == yu40000\n  Integral a",fontsize=16,color="magenta"];678 -> 816[label="",style="dashed", color="magenta", weight=3];
678 -> 817[label="",style="dashed", color="magenta", weight=3];
679[label="yu301 == yu40001\n  Eq a",fontsize=16,color="blue",shape="box"];1313[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1313[label="",style="solid", color="blue", weight=9];
1313 -> 818[label="",style="solid", color="blue", weight=3];
1314[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1314[label="",style="solid", color="blue", weight=9];
1314 -> 819[label="",style="solid", color="blue", weight=3];
1315[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1315[label="",style="solid", color="blue", weight=9];
1315 -> 820[label="",style="solid", color="blue", weight=3];
1316[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1316[label="",style="solid", color="blue", weight=9];
1316 -> 821[label="",style="solid", color="blue", weight=3];
1317[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1317[label="",style="solid", color="blue", weight=9];
1317 -> 822[label="",style="solid", color="blue", weight=3];
1318[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1318[label="",style="solid", color="blue", weight=9];
1318 -> 823[label="",style="solid", color="blue", weight=3];
1319[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1319[label="",style="solid", color="blue", weight=9];
1319 -> 824[label="",style="solid", color="blue", weight=3];
1320[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1320[label="",style="solid", color="blue", weight=9];
1320 -> 825[label="",style="solid", color="blue", weight=3];
1321[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1321[label="",style="solid", color="blue", weight=9];
1321 -> 826[label="",style="solid", color="blue", weight=3];
1322[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1322[label="",style="solid", color="blue", weight=9];
1322 -> 827[label="",style="solid", color="blue", weight=3];
1323[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1323[label="",style="solid", color="blue", weight=9];
1323 -> 828[label="",style="solid", color="blue", weight=3];
1324[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1324[label="",style="solid", color="blue", weight=9];
1324 -> 829[label="",style="solid", color="blue", weight=3];
1325[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1325[label="",style="solid", color="blue", weight=9];
1325 -> 830[label="",style="solid", color="blue", weight=3];
1326[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];679 -> 1326[label="",style="solid", color="blue", weight=9];
1326 -> 831[label="",style="solid", color="blue", weight=3];
680[label="yu302 == yu40002\n  Eq a",fontsize=16,color="blue",shape="box"];1327[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1327[label="",style="solid", color="blue", weight=9];
1327 -> 832[label="",style="solid", color="blue", weight=3];
1328[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1328[label="",style="solid", color="blue", weight=9];
1328 -> 833[label="",style="solid", color="blue", weight=3];
1329[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1329[label="",style="solid", color="blue", weight=9];
1329 -> 834[label="",style="solid", color="blue", weight=3];
1330[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1330[label="",style="solid", color="blue", weight=9];
1330 -> 835[label="",style="solid", color="blue", weight=3];
1331[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1331[label="",style="solid", color="blue", weight=9];
1331 -> 836[label="",style="solid", color="blue", weight=3];
1332[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1332[label="",style="solid", color="blue", weight=9];
1332 -> 837[label="",style="solid", color="blue", weight=3];
1333[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1333[label="",style="solid", color="blue", weight=9];
1333 -> 838[label="",style="solid", color="blue", weight=3];
1334[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1334[label="",style="solid", color="blue", weight=9];
1334 -> 839[label="",style="solid", color="blue", weight=3];
1335[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1335[label="",style="solid", color="blue", weight=9];
1335 -> 840[label="",style="solid", color="blue", weight=3];
1336[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1336[label="",style="solid", color="blue", weight=9];
1336 -> 841[label="",style="solid", color="blue", weight=3];
1337[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1337[label="",style="solid", color="blue", weight=9];
1337 -> 842[label="",style="solid", color="blue", weight=3];
1338[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1338[label="",style="solid", color="blue", weight=9];
1338 -> 843[label="",style="solid", color="blue", weight=3];
1339[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1339[label="",style="solid", color="blue", weight=9];
1339 -> 844[label="",style="solid", color="blue", weight=3];
1340[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1340[label="",style="solid", color="blue", weight=9];
1340 -> 845[label="",style="solid", color="blue", weight=3];
681[label="primEqNat (Succ yu3000) yu40000",fontsize=16,color="burlywood",shape="box"];1341[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];681 -> 1341[label="",style="solid", color="burlywood", weight=9];
1341 -> 846[label="",style="solid", color="burlywood", weight=3];
1342[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 1342[label="",style="solid", color="burlywood", weight=9];
1342 -> 847[label="",style="solid", color="burlywood", weight=3];
682[label="primEqNat Zero yu40000",fontsize=16,color="burlywood",shape="box"];1343[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];682 -> 1343[label="",style="solid", color="burlywood", weight=9];
1343 -> 848[label="",style="solid", color="burlywood", weight=3];
1344[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];682 -> 1344[label="",style="solid", color="burlywood", weight=9];
1344 -> 849[label="",style="solid", color="burlywood", weight=3];
683[label="primEqInt (Pos (Succ yu3000)) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];683 -> 850[label="",style="solid", color="black", weight=3];
684[label="primEqInt (Pos (Succ yu3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];684 -> 851[label="",style="solid", color="black", weight=3];
685[label="False",fontsize=16,color="green",shape="box"];686[label="primEqInt (Pos Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];686 -> 852[label="",style="solid", color="black", weight=3];
687[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];687 -> 853[label="",style="solid", color="black", weight=3];
688[label="primEqInt (Pos Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];688 -> 854[label="",style="solid", color="black", weight=3];
689[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];689 -> 855[label="",style="solid", color="black", weight=3];
690[label="False",fontsize=16,color="green",shape="box"];691[label="primEqInt (Neg (Succ yu3000)) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];691 -> 856[label="",style="solid", color="black", weight=3];
692[label="primEqInt (Neg (Succ yu3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];692 -> 857[label="",style="solid", color="black", weight=3];
693[label="primEqInt (Neg Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];693 -> 858[label="",style="solid", color="black", weight=3];
694[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];694 -> 859[label="",style="solid", color="black", weight=3];
695[label="primEqInt (Neg Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];695 -> 860[label="",style="solid", color="black", weight=3];
696[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];696 -> 861[label="",style="solid", color="black", weight=3];
697 -> 579[label="",style="dashed", color="red", weight=0];
697[label="yu301 * yu40001",fontsize=16,color="magenta"];697 -> 862[label="",style="dashed", color="magenta", weight=3];
697 -> 863[label="",style="dashed", color="magenta", weight=3];
698 -> 579[label="",style="dashed", color="red", weight=0];
698[label="yu300 * yu40000",fontsize=16,color="magenta"];698 -> 864[label="",style="dashed", color="magenta", weight=3];
698 -> 865[label="",style="dashed", color="magenta", weight=3];
699 -> 370[label="",style="dashed", color="red", weight=0];
699[label="yu300 == yu40000",fontsize=16,color="magenta"];699 -> 866[label="",style="dashed", color="magenta", weight=3];
699 -> 867[label="",style="dashed", color="magenta", weight=3];
700 -> 371[label="",style="dashed", color="red", weight=0];
700[label="yu300 == yu40000",fontsize=16,color="magenta"];700 -> 868[label="",style="dashed", color="magenta", weight=3];
700 -> 869[label="",style="dashed", color="magenta", weight=3];
701 -> 370[label="",style="dashed", color="red", weight=0];
701[label="yu301 == yu40001",fontsize=16,color="magenta"];701 -> 870[label="",style="dashed", color="magenta", weight=3];
701 -> 871[label="",style="dashed", color="magenta", weight=3];
702 -> 371[label="",style="dashed", color="red", weight=0];
702[label="yu301 == yu40001",fontsize=16,color="magenta"];702 -> 872[label="",style="dashed", color="magenta", weight=3];
702 -> 873[label="",style="dashed", color="magenta", weight=3];
703[label="yu40010\n  Eq a",fontsize=16,color="green",shape="box"];704[label="yu310\n  Eq a",fontsize=16,color="green",shape="box"];705[label="yu40010",fontsize=16,color="green",shape="box"];706[label="yu310",fontsize=16,color="green",shape="box"];707[label="yu40010",fontsize=16,color="green",shape="box"];708[label="yu310",fontsize=16,color="green",shape="box"];709[label="yu40010\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];710[label="yu310\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];711[label="yu40010\n  Eq a",fontsize=16,color="green",shape="box"];712[label="yu310\n  Eq a",fontsize=16,color="green",shape="box"];713[label="yu40010",fontsize=16,color="green",shape="box"];714[label="yu310",fontsize=16,color="green",shape="box"];715[label="yu40010",fontsize=16,color="green",shape="box"];716[label="yu310",fontsize=16,color="green",shape="box"];717[label="yu40010\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];718[label="yu310\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];719[label="yu40010\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];720[label="yu310\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];721[label="yu40010",fontsize=16,color="green",shape="box"];722[label="yu310",fontsize=16,color="green",shape="box"];723[label="yu40010",fontsize=16,color="green",shape="box"];724[label="yu310",fontsize=16,color="green",shape="box"];725[label="yu40010",fontsize=16,color="green",shape="box"];726[label="yu310",fontsize=16,color="green",shape="box"];727[label="yu40010",fontsize=16,color="green",shape="box"];728[label="yu310",fontsize=16,color="green",shape="box"];729[label="yu40010\n  Integral a",fontsize=16,color="green",shape="box"];730[label="yu310\n  Integral a",fontsize=16,color="green",shape="box"];731[label="primMulInt yu301 yu40001",fontsize=16,color="burlywood",shape="box"];1351[label="yu301/Pos yu3010",fontsize=10,color="white",style="solid",shape="box"];731 -> 1351[label="",style="solid", color="burlywood", weight=9];
1351 -> 874[label="",style="solid", color="burlywood", weight=3];
1352[label="yu301/Neg yu3010",fontsize=10,color="white",style="solid",shape="box"];731 -> 1352[label="",style="solid", color="burlywood", weight=9];
1352 -> 875[label="",style="solid", color="burlywood", weight=3];
732[label="yu40000",fontsize=16,color="green",shape="box"];733[label="yu300",fontsize=16,color="green",shape="box"];734[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];735[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];736[label="yu40000",fontsize=16,color="green",shape="box"];737[label="yu300",fontsize=16,color="green",shape="box"];738[label="yu40000",fontsize=16,color="green",shape="box"];739[label="yu300",fontsize=16,color="green",shape="box"];740[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];741[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];742[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];743[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];744[label="yu40000",fontsize=16,color="green",shape="box"];745[label="yu300",fontsize=16,color="green",shape="box"];746[label="yu40000",fontsize=16,color="green",shape="box"];747[label="yu300",fontsize=16,color="green",shape="box"];748[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];749[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];750[label="yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];751[label="yu300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];752[label="yu40000",fontsize=16,color="green",shape="box"];753[label="yu300",fontsize=16,color="green",shape="box"];754[label="yu40000",fontsize=16,color="green",shape="box"];755[label="yu300",fontsize=16,color="green",shape="box"];756[label="yu40000",fontsize=16,color="green",shape="box"];757[label="yu300",fontsize=16,color="green",shape="box"];758[label="yu40000",fontsize=16,color="green",shape="box"];759[label="yu300",fontsize=16,color="green",shape="box"];760[label="yu40000\n  Integral a",fontsize=16,color="green",shape="box"];761[label="yu300\n  Integral a",fontsize=16,color="green",shape="box"];762[label="yu40001\n  Eq a",fontsize=16,color="green",shape="box"];763[label="yu301\n  Eq a",fontsize=16,color="green",shape="box"];764[label="yu40001",fontsize=16,color="green",shape="box"];765[label="yu301",fontsize=16,color="green",shape="box"];766[label="yu40001",fontsize=16,color="green",shape="box"];767[label="yu301",fontsize=16,color="green",shape="box"];768[label="yu40001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];769[label="yu301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];770[label="yu40001\n  Eq a",fontsize=16,color="green",shape="box"];771[label="yu301\n  Eq a",fontsize=16,color="green",shape="box"];772[label="yu40001",fontsize=16,color="green",shape="box"];773[label="yu301",fontsize=16,color="green",shape="box"];774[label="yu40001",fontsize=16,color="green",shape="box"];775[label="yu301",fontsize=16,color="green",shape="box"];776[label="yu40001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];777[label="yu301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];778[label="yu40001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];779[label="yu301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];780[label="yu40001",fontsize=16,color="green",shape="box"];781[label="yu301",fontsize=16,color="green",shape="box"];782[label="yu40001",fontsize=16,color="green",shape="box"];783[label="yu301",fontsize=16,color="green",shape="box"];784[label="yu40001",fontsize=16,color="green",shape="box"];785[label="yu301",fontsize=16,color="green",shape="box"];786[label="yu40001",fontsize=16,color="green",shape="box"];787[label="yu301",fontsize=16,color="green",shape="box"];788[label="yu40001\n  Integral a",fontsize=16,color="green",shape="box"];789[label="yu301\n  Integral a",fontsize=16,color="green",shape="box"];790[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];791[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];792[label="yu40000",fontsize=16,color="green",shape="box"];793[label="yu300",fontsize=16,color="green",shape="box"];794[label="yu40000",fontsize=16,color="green",shape="box"];795[label="yu300",fontsize=16,color="green",shape="box"];796[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];797[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];798[label="yu40000\n  Eq a",fontsize=16,color="green",shape="box"];799[label="yu300\n  Eq a",fontsize=16,color="green",shape="box"];800[label="yu40000",fontsize=16,color="green",shape="box"];801[label="yu300",fontsize=16,color="green",shape="box"];802[label="yu40000",fontsize=16,color="green",shape="box"];803[label="yu300",fontsize=16,color="green",shape="box"];804[label="yu40000\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];805[label="yu300\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];806[label="yu40000\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];807[label="yu300\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];808[label="yu40000",fontsize=16,color="green",shape="box"];809[label="yu300",fontsize=16,color="green",shape="box"];810[label="yu40000",fontsize=16,color="green",shape="box"];811[label="yu300",fontsize=16,color="green",shape="box"];812[label="yu40000",fontsize=16,color="green",shape="box"];813[label="yu300",fontsize=16,color="green",shape="box"];814[label="yu40000",fontsize=16,color="green",shape="box"];815[label="yu300",fontsize=16,color="green",shape="box"];816[label="yu40000\n  Integral a",fontsize=16,color="green",shape="box"];817[label="yu300\n  Integral a",fontsize=16,color="green",shape="box"];818 -> 360[label="",style="dashed", color="red", weight=0];
818[label="yu301 == yu40001\n  Eq a",fontsize=16,color="magenta"];818 -> 876[label="",style="dashed", color="magenta", weight=3];
818 -> 877[label="",style="dashed", color="magenta", weight=3];
819 -> 361[label="",style="dashed", color="red", weight=0];
819[label="yu301 == yu40001",fontsize=16,color="magenta"];819 -> 878[label="",style="dashed", color="magenta", weight=3];
819 -> 879[label="",style="dashed", color="magenta", weight=3];
820 -> 362[label="",style="dashed", color="red", weight=0];
820[label="yu301 == yu40001",fontsize=16,color="magenta"];820 -> 880[label="",style="dashed", color="magenta", weight=3];
820 -> 881[label="",style="dashed", color="magenta", weight=3];
821 -> 363[label="",style="dashed", color="red", weight=0];
821[label="yu301 == yu40001\n  Eq a  Eq b",fontsize=16,color="magenta"];821 -> 882[label="",style="dashed", color="magenta", weight=3];
821 -> 883[label="",style="dashed", color="magenta", weight=3];
822 -> 357[label="",style="dashed", color="red", weight=0];
822[label="yu301 == yu40001\n  Eq a",fontsize=16,color="magenta"];822 -> 884[label="",style="dashed", color="magenta", weight=3];
822 -> 885[label="",style="dashed", color="magenta", weight=3];
823 -> 365[label="",style="dashed", color="red", weight=0];
823[label="yu301 == yu40001",fontsize=16,color="magenta"];823 -> 886[label="",style="dashed", color="magenta", weight=3];
823 -> 887[label="",style="dashed", color="magenta", weight=3];
824 -> 366[label="",style="dashed", color="red", weight=0];
824[label="yu301 == yu40001",fontsize=16,color="magenta"];824 -> 888[label="",style="dashed", color="magenta", weight=3];
824 -> 889[label="",style="dashed", color="magenta", weight=3];
825 -> 367[label="",style="dashed", color="red", weight=0];
825[label="yu301 == yu40001\n  Eq a  Eq b",fontsize=16,color="magenta"];825 -> 890[label="",style="dashed", color="magenta", weight=3];
825 -> 891[label="",style="dashed", color="magenta", weight=3];
826 -> 368[label="",style="dashed", color="red", weight=0];
826[label="yu301 == yu40001\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];826 -> 892[label="",style="dashed", color="magenta", weight=3];
826 -> 893[label="",style="dashed", color="magenta", weight=3];
827 -> 369[label="",style="dashed", color="red", weight=0];
827[label="yu301 == yu40001",fontsize=16,color="magenta"];827 -> 894[label="",style="dashed", color="magenta", weight=3];
827 -> 895[label="",style="dashed", color="magenta", weight=3];
828 -> 370[label="",style="dashed", color="red", weight=0];
828[label="yu301 == yu40001",fontsize=16,color="magenta"];828 -> 896[label="",style="dashed", color="magenta", weight=3];
828 -> 897[label="",style="dashed", color="magenta", weight=3];
829 -> 371[label="",style="dashed", color="red", weight=0];
829[label="yu301 == yu40001",fontsize=16,color="magenta"];829 -> 898[label="",style="dashed", color="magenta", weight=3];
829 -> 899[label="",style="dashed", color="magenta", weight=3];
830 -> 372[label="",style="dashed", color="red", weight=0];
830[label="yu301 == yu40001",fontsize=16,color="magenta"];830 -> 900[label="",style="dashed", color="magenta", weight=3];
830 -> 901[label="",style="dashed", color="magenta", weight=3];
831 -> 373[label="",style="dashed", color="red", weight=0];
831[label="yu301 == yu40001\n  Integral a",fontsize=16,color="magenta"];831 -> 902[label="",style="dashed", color="magenta", weight=3];
831 -> 903[label="",style="dashed", color="magenta", weight=3];
832 -> 360[label="",style="dashed", color="red", weight=0];
832[label="yu302 == yu40002\n  Eq a",fontsize=16,color="magenta"];832 -> 904[label="",style="dashed", color="magenta", weight=3];
832 -> 905[label="",style="dashed", color="magenta", weight=3];
833 -> 361[label="",style="dashed", color="red", weight=0];
833[label="yu302 == yu40002",fontsize=16,color="magenta"];833 -> 906[label="",style="dashed", color="magenta", weight=3];
833 -> 907[label="",style="dashed", color="magenta", weight=3];
834 -> 362[label="",style="dashed", color="red", weight=0];
834[label="yu302 == yu40002",fontsize=16,color="magenta"];834 -> 908[label="",style="dashed", color="magenta", weight=3];
834 -> 909[label="",style="dashed", color="magenta", weight=3];
835 -> 363[label="",style="dashed", color="red", weight=0];
835[label="yu302 == yu40002\n  Eq a  Eq b",fontsize=16,color="magenta"];835 -> 910[label="",style="dashed", color="magenta", weight=3];
835 -> 911[label="",style="dashed", color="magenta", weight=3];
836 -> 357[label="",style="dashed", color="red", weight=0];
836[label="yu302 == yu40002\n  Eq a",fontsize=16,color="magenta"];836 -> 912[label="",style="dashed", color="magenta", weight=3];
836 -> 913[label="",style="dashed", color="magenta", weight=3];
837 -> 365[label="",style="dashed", color="red", weight=0];
837[label="yu302 == yu40002",fontsize=16,color="magenta"];837 -> 914[label="",style="dashed", color="magenta", weight=3];
837 -> 915[label="",style="dashed", color="magenta", weight=3];
838 -> 366[label="",style="dashed", color="red", weight=0];
838[label="yu302 == yu40002",fontsize=16,color="magenta"];838 -> 916[label="",style="dashed", color="magenta", weight=3];
838 -> 917[label="",style="dashed", color="magenta", weight=3];
839 -> 367[label="",style="dashed", color="red", weight=0];
839[label="yu302 == yu40002\n  Eq a  Eq b",fontsize=16,color="magenta"];839 -> 918[label="",style="dashed", color="magenta", weight=3];
839 -> 919[label="",style="dashed", color="magenta", weight=3];
840 -> 368[label="",style="dashed", color="red", weight=0];
840[label="yu302 == yu40002\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];840 -> 920[label="",style="dashed", color="magenta", weight=3];
840 -> 921[label="",style="dashed", color="magenta", weight=3];
841 -> 369[label="",style="dashed", color="red", weight=0];
841[label="yu302 == yu40002",fontsize=16,color="magenta"];841 -> 922[label="",style="dashed", color="magenta", weight=3];
841 -> 923[label="",style="dashed", color="magenta", weight=3];
842 -> 370[label="",style="dashed", color="red", weight=0];
842[label="yu302 == yu40002",fontsize=16,color="magenta"];842 -> 924[label="",style="dashed", color="magenta", weight=3];
842 -> 925[label="",style="dashed", color="magenta", weight=3];
843 -> 371[label="",style="dashed", color="red", weight=0];
843[label="yu302 == yu40002",fontsize=16,color="magenta"];843 -> 926[label="",style="dashed", color="magenta", weight=3];
843 -> 927[label="",style="dashed", color="magenta", weight=3];
844 -> 372[label="",style="dashed", color="red", weight=0];
844[label="yu302 == yu40002",fontsize=16,color="magenta"];844 -> 928[label="",style="dashed", color="magenta", weight=3];
844 -> 929[label="",style="dashed", color="magenta", weight=3];
845 -> 373[label="",style="dashed", color="red", weight=0];
845[label="yu302 == yu40002\n  Integral a",fontsize=16,color="magenta"];845 -> 930[label="",style="dashed", color="magenta", weight=3];
845 -> 931[label="",style="dashed", color="magenta", weight=3];
846[label="primEqNat (Succ yu3000) (Succ yu400000)",fontsize=16,color="black",shape="box"];846 -> 932[label="",style="solid", color="black", weight=3];
847[label="primEqNat (Succ yu3000) Zero",fontsize=16,color="black",shape="box"];847 -> 933[label="",style="solid", color="black", weight=3];
848[label="primEqNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];848 -> 934[label="",style="solid", color="black", weight=3];
849[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];849 -> 935[label="",style="solid", color="black", weight=3];
850 -> 521[label="",style="dashed", color="red", weight=0];
850[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];850 -> 936[label="",style="dashed", color="magenta", weight=3];
850 -> 937[label="",style="dashed", color="magenta", weight=3];
851[label="False",fontsize=16,color="green",shape="box"];852[label="False",fontsize=16,color="green",shape="box"];853[label="True",fontsize=16,color="green",shape="box"];854[label="False",fontsize=16,color="green",shape="box"];855[label="True",fontsize=16,color="green",shape="box"];856 -> 521[label="",style="dashed", color="red", weight=0];
856[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];856 -> 938[label="",style="dashed", color="magenta", weight=3];
856 -> 939[label="",style="dashed", color="magenta", weight=3];
857[label="False",fontsize=16,color="green",shape="box"];858[label="False",fontsize=16,color="green",shape="box"];859[label="True",fontsize=16,color="green",shape="box"];860[label="False",fontsize=16,color="green",shape="box"];861[label="True",fontsize=16,color="green",shape="box"];862[label="yu40001",fontsize=16,color="green",shape="box"];863[label="yu301",fontsize=16,color="green",shape="box"];864[label="yu40000",fontsize=16,color="green",shape="box"];865[label="yu300",fontsize=16,color="green",shape="box"];866[label="yu40000",fontsize=16,color="green",shape="box"];867[label="yu300",fontsize=16,color="green",shape="box"];868[label="yu40000",fontsize=16,color="green",shape="box"];869[label="yu300",fontsize=16,color="green",shape="box"];870[label="yu40001",fontsize=16,color="green",shape="box"];871[label="yu301",fontsize=16,color="green",shape="box"];872[label="yu40001",fontsize=16,color="green",shape="box"];873[label="yu301",fontsize=16,color="green",shape="box"];874[label="primMulInt (Pos yu3010) yu40001",fontsize=16,color="burlywood",shape="box"];1383[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];874 -> 1383[label="",style="solid", color="burlywood", weight=9];
1383 -> 940[label="",style="solid", color="burlywood", weight=3];
1384[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];874 -> 1384[label="",style="solid", color="burlywood", weight=9];
1384 -> 941[label="",style="solid", color="burlywood", weight=3];
875[label="primMulInt (Neg yu3010) yu40001",fontsize=16,color="burlywood",shape="box"];1385[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];875 -> 1385[label="",style="solid", color="burlywood", weight=9];
1385 -> 942[label="",style="solid", color="burlywood", weight=3];
1386[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];875 -> 1386[label="",style="solid", color="burlywood", weight=9];
1386 -> 943[label="",style="solid", color="burlywood", weight=3];
876[label="yu40001\n  Eq a",fontsize=16,color="green",shape="box"];877[label="yu301\n  Eq a",fontsize=16,color="green",shape="box"];878[label="yu40001",fontsize=16,color="green",shape="box"];879[label="yu301",fontsize=16,color="green",shape="box"];880[label="yu40001",fontsize=16,color="green",shape="box"];881[label="yu301",fontsize=16,color="green",shape="box"];882[label="yu40001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];883[label="yu301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];884[label="yu40001\n  Eq a",fontsize=16,color="green",shape="box"];885[label="yu301\n  Eq a",fontsize=16,color="green",shape="box"];886[label="yu40001",fontsize=16,color="green",shape="box"];887[label="yu301",fontsize=16,color="green",shape="box"];888[label="yu40001",fontsize=16,color="green",shape="box"];889[label="yu301",fontsize=16,color="green",shape="box"];890[label="yu40001\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];891[label="yu301\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];892[label="yu40001\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];893[label="yu301\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];894[label="yu40001",fontsize=16,color="green",shape="box"];895[label="yu301",fontsize=16,color="green",shape="box"];896[label="yu40001",fontsize=16,color="green",shape="box"];897[label="yu301",fontsize=16,color="green",shape="box"];898[label="yu40001",fontsize=16,color="green",shape="box"];899[label="yu301",fontsize=16,color="green",shape="box"];900[label="yu40001",fontsize=16,color="green",shape="box"];901[label="yu301",fontsize=16,color="green",shape="box"];902[label="yu40001\n  Integral a",fontsize=16,color="green",shape="box"];903[label="yu301\n  Integral a",fontsize=16,color="green",shape="box"];904[label="yu40002\n  Eq a",fontsize=16,color="green",shape="box"];905[label="yu302\n  Eq a",fontsize=16,color="green",shape="box"];906[label="yu40002",fontsize=16,color="green",shape="box"];907[label="yu302",fontsize=16,color="green",shape="box"];908[label="yu40002",fontsize=16,color="green",shape="box"];909[label="yu302",fontsize=16,color="green",shape="box"];910[label="yu40002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];911[label="yu302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];912[label="yu40002\n  Eq a",fontsize=16,color="green",shape="box"];913[label="yu302\n  Eq a",fontsize=16,color="green",shape="box"];914[label="yu40002",fontsize=16,color="green",shape="box"];915[label="yu302",fontsize=16,color="green",shape="box"];916[label="yu40002",fontsize=16,color="green",shape="box"];917[label="yu302",fontsize=16,color="green",shape="box"];918[label="yu40002\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];919[label="yu302\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];920[label="yu40002\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];921[label="yu302\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];922[label="yu40002",fontsize=16,color="green",shape="box"];923[label="yu302",fontsize=16,color="green",shape="box"];924[label="yu40002",fontsize=16,color="green",shape="box"];925[label="yu302",fontsize=16,color="green",shape="box"];926[label="yu40002",fontsize=16,color="green",shape="box"];927[label="yu302",fontsize=16,color="green",shape="box"];928[label="yu40002",fontsize=16,color="green",shape="box"];929[label="yu302",fontsize=16,color="green",shape="box"];930[label="yu40002\n  Integral a",fontsize=16,color="green",shape="box"];931[label="yu302\n  Integral a",fontsize=16,color="green",shape="box"];932 -> 521[label="",style="dashed", color="red", weight=0];
932[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];932 -> 944[label="",style="dashed", color="magenta", weight=3];
932 -> 945[label="",style="dashed", color="magenta", weight=3];
933[label="False",fontsize=16,color="green",shape="box"];934[label="False",fontsize=16,color="green",shape="box"];935[label="True",fontsize=16,color="green",shape="box"];936[label="yu400000",fontsize=16,color="green",shape="box"];937[label="yu3000",fontsize=16,color="green",shape="box"];938[label="yu400000",fontsize=16,color="green",shape="box"];939[label="yu3000",fontsize=16,color="green",shape="box"];940[label="primMulInt (Pos yu3010) (Pos yu400010)",fontsize=16,color="black",shape="box"];940 -> 946[label="",style="solid", color="black", weight=3];
941[label="primMulInt (Pos yu3010) (Neg yu400010)",fontsize=16,color="black",shape="box"];941 -> 947[label="",style="solid", color="black", weight=3];
942[label="primMulInt (Neg yu3010) (Pos yu400010)",fontsize=16,color="black",shape="box"];942 -> 948[label="",style="solid", color="black", weight=3];
943[label="primMulInt (Neg yu3010) (Neg yu400010)",fontsize=16,color="black",shape="box"];943 -> 949[label="",style="solid", color="black", weight=3];
944[label="yu400000",fontsize=16,color="green",shape="box"];945[label="yu3000",fontsize=16,color="green",shape="box"];946[label="Pos (primMulNat yu3010 yu400010)",fontsize=16,color="green",shape="box"];946 -> 950[label="",style="dashed", color="green", weight=3];
947[label="Neg (primMulNat yu3010 yu400010)",fontsize=16,color="green",shape="box"];947 -> 951[label="",style="dashed", color="green", weight=3];
948[label="Neg (primMulNat yu3010 yu400010)",fontsize=16,color="green",shape="box"];948 -> 952[label="",style="dashed", color="green", weight=3];
949[label="Pos (primMulNat yu3010 yu400010)",fontsize=16,color="green",shape="box"];949 -> 953[label="",style="dashed", color="green", weight=3];
950[label="primMulNat yu3010 yu400010",fontsize=16,color="burlywood",shape="triangle"];1388[label="yu3010/Succ yu30100",fontsize=10,color="white",style="solid",shape="box"];950 -> 1388[label="",style="solid", color="burlywood", weight=9];
1388 -> 954[label="",style="solid", color="burlywood", weight=3];
1389[label="yu3010/Zero",fontsize=10,color="white",style="solid",shape="box"];950 -> 1389[label="",style="solid", color="burlywood", weight=9];
1389 -> 955[label="",style="solid", color="burlywood", weight=3];
951 -> 950[label="",style="dashed", color="red", weight=0];
951[label="primMulNat yu3010 yu400010",fontsize=16,color="magenta"];951 -> 956[label="",style="dashed", color="magenta", weight=3];
952 -> 950[label="",style="dashed", color="red", weight=0];
952[label="primMulNat yu3010 yu400010",fontsize=16,color="magenta"];952 -> 957[label="",style="dashed", color="magenta", weight=3];
953 -> 950[label="",style="dashed", color="red", weight=0];
953[label="primMulNat yu3010 yu400010",fontsize=16,color="magenta"];953 -> 958[label="",style="dashed", color="magenta", weight=3];
953 -> 959[label="",style="dashed", color="magenta", weight=3];
954[label="primMulNat (Succ yu30100) yu400010",fontsize=16,color="burlywood",shape="box"];1393[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];954 -> 1393[label="",style="solid", color="burlywood", weight=9];
1393 -> 960[label="",style="solid", color="burlywood", weight=3];
1394[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];954 -> 1394[label="",style="solid", color="burlywood", weight=9];
1394 -> 961[label="",style="solid", color="burlywood", weight=3];
955[label="primMulNat Zero yu400010",fontsize=16,color="burlywood",shape="box"];1395[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];955 -> 1395[label="",style="solid", color="burlywood", weight=9];
1395 -> 962[label="",style="solid", color="burlywood", weight=3];
1396[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];955 -> 1396[label="",style="solid", color="burlywood", weight=9];
1396 -> 963[label="",style="solid", color="burlywood", weight=3];
956[label="yu400010",fontsize=16,color="green",shape="box"];957[label="yu3010",fontsize=16,color="green",shape="box"];958[label="yu400010",fontsize=16,color="green",shape="box"];959[label="yu3010",fontsize=16,color="green",shape="box"];960[label="primMulNat (Succ yu30100) (Succ yu4000100)",fontsize=16,color="black",shape="box"];960 -> 964[label="",style="solid", color="black", weight=3];
961[label="primMulNat (Succ yu30100) Zero",fontsize=16,color="black",shape="box"];961 -> 965[label="",style="solid", color="black", weight=3];
962[label="primMulNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];962 -> 966[label="",style="solid", color="black", weight=3];
963[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];963 -> 967[label="",style="solid", color="black", weight=3];
964 -> 968[label="",style="dashed", color="red", weight=0];
964[label="primPlusNat (primMulNat yu30100 (Succ yu4000100)) (Succ yu4000100)",fontsize=16,color="magenta"];964 -> 969[label="",style="dashed", color="magenta", weight=3];
965[label="Zero",fontsize=16,color="green",shape="box"];966[label="Zero",fontsize=16,color="green",shape="box"];967[label="Zero",fontsize=16,color="green",shape="box"];969 -> 950[label="",style="dashed", color="red", weight=0];
969[label="primMulNat yu30100 (Succ yu4000100)",fontsize=16,color="magenta"];969 -> 970[label="",style="dashed", color="magenta", weight=3];
969 -> 971[label="",style="dashed", color="magenta", weight=3];
968[label="primPlusNat yu34 (Succ yu4000100)",fontsize=16,color="burlywood",shape="triangle"];1399[label="yu34/Succ yu340",fontsize=10,color="white",style="solid",shape="box"];968 -> 1399[label="",style="solid", color="burlywood", weight=9];
1399 -> 972[label="",style="solid", color="burlywood", weight=3];
1400[label="yu34/Zero",fontsize=10,color="white",style="solid",shape="box"];968 -> 1400[label="",style="solid", color="burlywood", weight=9];
1400 -> 973[label="",style="solid", color="burlywood", weight=3];
970[label="Succ yu4000100",fontsize=16,color="green",shape="box"];971[label="yu30100",fontsize=16,color="green",shape="box"];972[label="primPlusNat (Succ yu340) (Succ yu4000100)",fontsize=16,color="black",shape="box"];972 -> 974[label="",style="solid", color="black", weight=3];
973[label="primPlusNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];973 -> 975[label="",style="solid", color="black", weight=3];
974[label="Succ (Succ (primPlusNat yu340 yu4000100))",fontsize=16,color="green",shape="box"];974 -> 976[label="",style="dashed", color="green", weight=3];
975[label="Succ yu4000100",fontsize=16,color="green",shape="box"];976[label="primPlusNat yu340 yu4000100",fontsize=16,color="burlywood",shape="triangle"];1401[label="yu340/Succ yu3400",fontsize=10,color="white",style="solid",shape="box"];976 -> 1401[label="",style="solid", color="burlywood", weight=9];
1401 -> 977[label="",style="solid", color="burlywood", weight=3];
1402[label="yu340/Zero",fontsize=10,color="white",style="solid",shape="box"];976 -> 1402[label="",style="solid", color="burlywood", weight=9];
1402 -> 978[label="",style="solid", color="burlywood", weight=3];
977[label="primPlusNat (Succ yu3400) yu4000100",fontsize=16,color="burlywood",shape="box"];1403[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];977 -> 1403[label="",style="solid", color="burlywood", weight=9];
1403 -> 979[label="",style="solid", color="burlywood", weight=3];
1404[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];977 -> 1404[label="",style="solid", color="burlywood", weight=9];
1404 -> 980[label="",style="solid", color="burlywood", weight=3];
978[label="primPlusNat Zero yu4000100",fontsize=16,color="burlywood",shape="box"];1405[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];978 -> 1405[label="",style="solid", color="burlywood", weight=9];
1405 -> 981[label="",style="solid", color="burlywood", weight=3];
1406[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];978 -> 1406[label="",style="solid", color="burlywood", weight=9];
1406 -> 982[label="",style="solid", color="burlywood", weight=3];
979[label="primPlusNat (Succ yu3400) (Succ yu40001000)",fontsize=16,color="black",shape="box"];979 -> 983[label="",style="solid", color="black", weight=3];
980[label="primPlusNat (Succ yu3400) Zero",fontsize=16,color="black",shape="box"];980 -> 984[label="",style="solid", color="black", weight=3];
981[label="primPlusNat Zero (Succ yu40001000)",fontsize=16,color="black",shape="box"];981 -> 985[label="",style="solid", color="black", weight=3];
982[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];982 -> 986[label="",style="solid", color="black", weight=3];
983[label="Succ (Succ (primPlusNat yu3400 yu40001000))",fontsize=16,color="green",shape="box"];983 -> 987[label="",style="dashed", color="green", weight=3];
984[label="Succ yu3400",fontsize=16,color="green",shape="box"];985[label="Succ yu40001000",fontsize=16,color="green",shape="box"];986[label="Zero",fontsize=16,color="green",shape="box"];987 -> 976[label="",style="dashed", color="red", weight=0];
987[label="primPlusNat yu3400 yu40001000",fontsize=16,color="magenta"];987 -> 988[label="",style="dashed", color="magenta", weight=3];
987 -> 989[label="",style="dashed", color="magenta", weight=3];
988[label="yu3400",fontsize=16,color="green",shape="box"];989[label="yu40001000",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(yu3400), Succ(yu40001000)) → new_primPlusNat(yu3400, yu40001000)

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(yu3400), Succ(yu40001000)) → new_primPlusNat(yu3400, yu40001000)
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(yu30100), Succ(yu4000100)) → new_primMulNat(yu30100, Succ(yu4000100))

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

new_primMulNat(Succ(yu30100), Succ(yu4000100)) → new_primMulNat(yu30100, Succ(yu4000100))
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(yu3000), Succ(yu400000)) → new_primEqNat(yu3000, yu400000)

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

new_primEqNat(Succ(yu3000), Succ(yu400000)) → new_primEqNat(yu3000, yu400000)
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_esEs0(Right(yu300), Right(yu40000), de, app(app(ty_@2, eb), ec)) → new_esEs2(yu300, yu40000, eb, ec)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs3(yu302, yu40002, bdb, bdc, bdd)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(app(ty_@2, he), hf)) → new_esEs2(yu301, yu40001, he, hf)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(ty_Maybe, ha)) → new_esEs(yu301, yu40001, ha)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, fh), fb) → new_esEs(yu300, yu40000, fh)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, bab), fd, ff) → new_esEs(yu300, yu40000, bab)
new_esEs(Just(yu300), Just(yu40000), app(app(app(ty_@3, bg), bh), ca)) → new_esEs3(yu300, yu40000, bg, bh, ca)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(ty_[], bcg)) → new_esEs1(yu302, yu40002, bcg)
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), fg) → new_esEs1(yu311, yu40011, fg)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, gd), ge), fb) → new_esEs2(yu300, yu40000, gd, ge)
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(ty_[], eh)) → new_esEs1(yu310, yu40010, eh)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(app(app(ty_@3, hg), hh), baa)) → new_esEs3(yu301, yu40001, hg, hh, baa)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(ty_[], bbf), ff) → new_esEs1(yu301, yu40001, bbf)
new_esEs0(Left(yu300), Left(yu40000), app(app(app(ty_@3, db), dc), dd), cc) → new_esEs3(yu300, yu40000, db, dc, dd)
new_esEs(Just(yu300), Just(yu40000), app(ty_Maybe, ba)) → new_esEs(yu300, yu40000, ba)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(app(ty_Either, hb), hc)) → new_esEs0(yu301, yu40001, hb, hc)
new_esEs0(Left(yu300), Left(yu40000), app(app(ty_Either, cd), ce), cc) → new_esEs0(yu300, yu40000, cd, ce)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(ty_Maybe, bbc), ff) → new_esEs(yu301, yu40001, bbc)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], gc), fb) → new_esEs1(yu300, yu40000, gc)
new_esEs0(Left(yu300), Left(yu40000), app(app(ty_@2, cg), da), cc) → new_esEs2(yu300, yu40000, cg, da)
new_esEs0(Right(yu300), Right(yu40000), de, app(app(app(ty_@3, ed), ee), ef)) → new_esEs3(yu300, yu40000, ed, ee, ef)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(ty_Maybe, bcd)) → new_esEs(yu302, yu40002, bcd)
new_esEs0(Right(yu300), Right(yu40000), de, app(app(ty_Either, dg), dh)) → new_esEs0(yu300, yu40000, dg, dh)
new_esEs(Just(yu300), Just(yu40000), app(app(ty_Either, bb), bc)) → new_esEs0(yu300, yu40000, bb, bc)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(app(app(ty_@3, bca), bcb), bcc), ff) → new_esEs3(yu301, yu40001, bca, bcb, bcc)
new_esEs(Just(yu300), Just(yu40000), app(app(ty_@2, be), bf)) → new_esEs2(yu300, yu40000, be, bf)
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_Either, de), cc)) → new_esEs0(yu310, yu40010, de, cc)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(app(ty_@2, bch), bda)) → new_esEs2(yu302, yu40002, bch, bda)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, baf), bag), fd, ff) → new_esEs2(yu300, yu40000, baf, bag)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(app(ty_@2, bbg), bbh), ff) → new_esEs2(yu301, yu40001, bbg, bbh)
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(ty_Maybe, eg)) → new_esEs(yu310, yu40010, eg)
new_esEs0(Right(yu300), Right(yu40000), de, app(ty_[], ea)) → new_esEs1(yu300, yu40000, ea)
new_esEs(Just(yu300), Just(yu40000), app(ty_[], bd)) → new_esEs1(yu300, yu40000, bd)
new_esEs0(Left(yu300), Left(yu40000), app(ty_[], cf), cc) → new_esEs1(yu300, yu40000, cf)
new_esEs0(Right(yu300), Right(yu40000), de, app(ty_Maybe, df)) → new_esEs(yu300, yu40000, df)
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(app(app(ty_@3, fc), fd), ff)) → new_esEs3(yu310, yu40010, fc, fd, ff)
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_@2, fa), fb)) → new_esEs2(yu310, yu40010, fa, fb)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], bae), fd, ff) → new_esEs1(yu300, yu40000, bae)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, ga), gb), fb) → new_esEs0(yu300, yu40000, ga, gb)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(ty_[], hd)) → new_esEs1(yu301, yu40001, hd)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(app(ty_Either, bbd), bbe), ff) → new_esEs0(yu301, yu40001, bbd, bbe)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(app(ty_Either, bce), bcf)) → new_esEs0(yu302, yu40002, bce, bcf)
new_esEs0(Left(yu300), Left(yu40000), app(ty_Maybe, cb), cc) → new_esEs(yu300, yu40000, cb)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, bah), bba), bbb), fd, ff) → new_esEs3(yu300, yu40000, bah, bba, bbb)
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, gf), gg), gh), fb) → new_esEs3(yu300, yu40000, gf, gg, gh)
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, bac), bad), fd, ff) → new_esEs0(yu300, yu40000, bac, bad)

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

new_esEs(Just(yu300), Just(yu40000), app(app(ty_Either, bb), bc)) → new_esEs0(yu300, yu40000, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(Just(yu300), Just(yu40000), app(app(app(ty_@3, bg), bh), ca)) → new_esEs3(yu300, yu40000, bg, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(Just(yu300), Just(yu40000), app(app(ty_@2, be), bf)) → new_esEs2(yu300, yu40000, be, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_Either, de), cc)) → new_esEs0(yu310, yu40010, de, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(app(app(ty_@3, fc), fd), ff)) → new_esEs3(yu310, yu40010, fc, fd, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(app(ty_@2, fa), fb)) → new_esEs2(yu310, yu40010, fa, fb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(Just(yu300), Just(yu40000), app(ty_Maybe, ba)) → new_esEs(yu300, yu40000, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(Just(yu300), Just(yu40000), app(ty_[], bd)) → new_esEs1(yu300, yu40000, bd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(ty_Maybe, eg)) → new_esEs(yu310, yu40010, eg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(app(ty_Either, hb), hc)) → new_esEs0(yu301, yu40001, hb, hc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, ga), gb), fb) → new_esEs0(yu300, yu40000, ga, gb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(app(app(ty_@3, hg), hh), baa)) → new_esEs3(yu301, yu40001, hg, hh, baa)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, gf), gg), gh), fb) → new_esEs3(yu300, yu40000, gf, gg, gh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(app(ty_@2, he), hf)) → new_esEs2(yu301, yu40001, he, hf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, gd), ge), fb) → new_esEs2(yu300, yu40000, gd, ge)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(ty_Maybe, ha)) → new_esEs(yu301, yu40001, ha)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, fh), fb) → new_esEs(yu300, yu40000, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], gc), fb) → new_esEs1(yu300, yu40000, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(@2(yu300, yu301), @2(yu40000, yu40001), fa, app(ty_[], hd)) → new_esEs1(yu301, yu40001, hd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(app(ty_Either, bbd), bbe), ff) → new_esEs0(yu301, yu40001, bbd, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(app(ty_Either, bce), bcf)) → new_esEs0(yu302, yu40002, bce, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, bac), bad), fd, ff) → new_esEs0(yu300, yu40000, bac, bad)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Left(yu300), Left(yu40000), app(app(ty_Either, cd), ce), cc) → new_esEs0(yu300, yu40000, cd, ce)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Right(yu300), Right(yu40000), de, app(app(ty_Either, dg), dh)) → new_esEs0(yu300, yu40000, dg, dh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs3(yu302, yu40002, bdb, bdc, bdd)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(app(app(ty_@3, bca), bcb), bcc), ff) → new_esEs3(yu301, yu40001, bca, bcb, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, bah), bba), bbb), fd, ff) → new_esEs3(yu300, yu40000, bah, bba, bbb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(app(ty_@2, bch), bda)) → new_esEs2(yu302, yu40002, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(app(ty_@2, bbg), bbh), ff) → new_esEs2(yu301, yu40001, bbg, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, baf), bag), fd, ff) → new_esEs2(yu300, yu40000, baf, bag)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, bab), fd, ff) → new_esEs(yu300, yu40000, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(ty_Maybe, bbc), ff) → new_esEs(yu301, yu40001, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(ty_Maybe, bcd)) → new_esEs(yu302, yu40002, bcd)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, fd, app(ty_[], bcg)) → new_esEs1(yu302, yu40002, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), fc, app(ty_[], bbf), ff) → new_esEs1(yu301, yu40001, bbf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], bae), fd, ff) → new_esEs1(yu300, yu40000, bae)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Left(yu300), Left(yu40000), app(app(app(ty_@3, db), dc), dd), cc) → new_esEs3(yu300, yu40000, db, dc, dd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(Right(yu300), Right(yu40000), de, app(app(app(ty_@3, ed), ee), ef)) → new_esEs3(yu300, yu40000, ed, ee, ef)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs0(Right(yu300), Right(yu40000), de, app(app(ty_@2, eb), ec)) → new_esEs2(yu300, yu40000, eb, ec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs0(Left(yu300), Left(yu40000), app(app(ty_@2, cg), da), cc) → new_esEs2(yu300, yu40000, cg, da)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), fg) → new_esEs1(yu311, yu40011, fg)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs1(:(yu310, yu311), :(yu40010, yu40011), app(ty_[], eh)) → new_esEs1(yu310, yu40010, eh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Right(yu300), Right(yu40000), de, app(ty_Maybe, df)) → new_esEs(yu300, yu40000, df)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(Left(yu300), Left(yu40000), app(ty_Maybe, cb), cc) → new_esEs(yu300, yu40000, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Right(yu300), Right(yu40000), de, app(ty_[], ea)) → new_esEs1(yu300, yu40000, ea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(Left(yu300), Left(yu40000), app(ty_[], cf), cc) → new_esEs1(yu300, yu40000, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ DependencyGraphProof

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

new_lookup(:(yu30, yu31), :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs4(yu30, yu4000, bd), new_esEs5(yu31, yu4001, bd)), bc, bd)
new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bc, bd) → new_lookup(:(yu30, yu31), yu41, bc, bd)
new_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, ba, bb) → new_lookup(:(yu13, yu14), yu18, ba, bb)
new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup([], yu41, bc, bd)

The TRS R consists of the following rules:

new_esEs9(Left(yu300), Left(yu40000), ty_@0, bg) → new_esEs7(yu300, yu40000)
new_primPlusNat1(Succ(yu3400), Succ(yu40001000)) → Succ(Succ(new_primPlusNat1(yu3400, yu40001000)))
new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) → False
new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) → False
new_esEs23(yu300, yu40000, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Ordering) → new_esEs11(yu301, yu40001)
new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) → False
new_esEs21(yu302, yu40002, ty_Integer) → new_esEs15(yu302, yu40002)
new_esEs4(yu30, yu4000, app(app(app(ty_@3, cc), cd), ce)) → new_esEs13(yu30, yu4000, cc, cd, ce)
new_esEs5([], [], bd) → True
new_esEs21(yu302, yu40002, ty_Ordering) → new_esEs11(yu302, yu40002)
new_esEs20(yu301, yu40001, ty_Bool) → new_esEs10(yu301, yu40001)
new_esEs9(Left(yu300), Left(yu40000), ty_Bool, bg) → new_esEs10(yu300, yu40000)
new_esEs11(EQ, EQ) → True
new_esEs23(yu300, yu40000, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), ty_Char) → new_esEs14(yu300, yu40000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs19(yu300, yu40000, app(ty_Ratio, hh)) → new_esEs18(yu300, yu40000, hh)
new_esEs18(:%(yu300, yu301), :%(yu40000, yu40001), cf) → new_asAs(new_esEs25(yu300, yu40000, cf), new_esEs26(yu301, yu40001, cf))
new_esEs6(Just(yu300), Just(yu40000), ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs21(yu302, yu40002, app(ty_[], bbf)) → new_esEs5(yu302, yu40002, bbf)
new_esEs20(yu301, yu40001, ty_Ordering) → new_esEs11(yu301, yu40001)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_[], ee)) → new_esEs5(yu300, yu40000, ee)
new_esEs4(yu30, yu4000, app(ty_Ratio, cf)) → new_esEs18(yu30, yu4000, cf)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(ty_Either, ec), ed)) → new_esEs9(yu300, yu40000, ec, ed)
new_esEs5([], :(yu40010, yu40011), bd) → False
new_esEs5(:(yu310, yu311), [], bd) → False
new_esEs4(yu30, yu4000, app(ty_Maybe, be)) → new_esEs6(yu30, yu4000, be)
new_esEs9(Left(yu300), Left(yu40000), app(ty_Maybe, cg), bg) → new_esEs6(yu300, yu40000, cg)
new_primPlusNat0(Zero, yu4000100) → Succ(yu4000100)
new_esEs6(Just(yu300), Just(yu40000), ty_@0) → new_esEs7(yu300, yu40000)
new_esEs11(GT, LT) → False
new_esEs11(LT, GT) → False
new_esEs20(yu301, yu40001, ty_Char) → new_esEs14(yu301, yu40001)
new_esEs23(yu300, yu40000, app(app(ty_@2, bda), bdb)) → new_esEs12(yu300, yu40000, bda, bdb)
new_esEs6(Just(yu300), Just(yu40000), ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs25(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs9(Left(yu300), Left(yu40000), ty_Char, bg) → new_esEs14(yu300, yu40000)
new_sr(Neg(yu3010), Pos(yu400010)) → Neg(new_primMulNat0(yu3010, yu400010))
new_sr(Pos(yu3010), Neg(yu400010)) → Neg(new_primMulNat0(yu3010, yu400010))
new_esEs9(Left(yu300), Left(yu40000), ty_Ordering, bg) → new_esEs11(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Float) → new_esEs17(yu301, yu40001)
new_esEs11(EQ, LT) → False
new_esEs11(LT, EQ) → False
new_esEs8(Double(yu300, yu301), Double(yu40000, yu40001)) → new_esEs16(new_sr(yu300, yu40000), new_sr(yu301, yu40001))
new_esEs22(yu310, yu40010, ty_Bool) → new_esEs10(yu310, yu40010)
new_esEs13(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, cd, ce) → new_asAs(new_esEs19(yu300, yu40000, cc), new_asAs(new_esEs20(yu301, yu40001, cd), new_esEs21(yu302, yu40002, ce)))
new_esEs22(yu310, yu40010, app(ty_Maybe, be)) → new_esEs6(yu310, yu40010, be)
new_esEs15(Integer(yu300), Integer(yu40000)) → new_primEqInt(yu300, yu40000)
new_esEs4(yu30, yu4000, ty_Ordering) → new_esEs11(yu30, yu4000)
new_esEs20(yu301, yu40001, app(app(ty_@2, bae), baf)) → new_esEs12(yu301, yu40001, bae, baf)
new_esEs4(yu30, yu4000, ty_Float) → new_esEs17(yu30, yu4000)
new_esEs10(True, True) → True
new_esEs20(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs22(yu310, yu40010, app(ty_Ratio, cf)) → new_esEs18(yu310, yu40010, cf)
new_primEqNat0(Zero, Succ(yu400000)) → False
new_primEqNat0(Succ(yu3000), Zero) → False
new_esEs22(yu310, yu40010, ty_Float) → new_esEs17(yu310, yu40010)
new_esEs4(yu30, yu4000, app(ty_[], bh)) → new_esEs5(yu30, yu4000, bh)
new_esEs20(yu301, yu40001, ty_@0) → new_esEs7(yu301, yu40001)
new_esEs23(yu300, yu40000, app(app(ty_Either, bcf), bcg)) → new_esEs9(yu300, yu40000, bcf, bcg)
new_esEs22(yu310, yu40010, app(app(ty_Either, bf), bg)) → new_esEs9(yu310, yu40010, bf, bg)
new_esEs20(yu301, yu40001, app(ty_[], bad)) → new_esEs5(yu301, yu40001, bad)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs23(yu300, yu40000, app(ty_Ratio, bdf)) → new_esEs18(yu300, yu40000, bdf)
new_esEs19(yu300, yu40000, app(app(ty_@2, hc), hd)) → new_esEs12(yu300, yu40000, hc, hd)
new_esEs20(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_esEs26(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_esEs23(yu300, yu40000, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs19(yu300, yu40000, app(ty_Maybe, gg)) → new_esEs6(yu300, yu40000, gg)
new_esEs23(yu300, yu40000, app(ty_[], bch)) → new_esEs5(yu300, yu40000, bch)
new_esEs21(yu302, yu40002, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs13(yu302, yu40002, bca, bcb, bcc)
new_esEs25(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(ty_@2, ef), eg)) → new_esEs12(yu300, yu40000, ef, eg)
new_esEs21(yu302, yu40002, app(app(ty_@2, bbg), bbh)) → new_esEs12(yu302, yu40002, bbg, bbh)
new_esEs20(yu301, yu40001, app(ty_Ratio, bbb)) → new_esEs18(yu301, yu40001, bbb)
new_esEs6(Just(yu300), Just(yu40000), app(app(app(ty_@3, gc), gd), ge)) → new_esEs13(yu300, yu40000, gc, gd, ge)
new_esEs6(Just(yu300), Just(yu40000), app(ty_[], fh)) → new_esEs5(yu300, yu40000, fh)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(app(ty_@3, eh), fa), fb)) → new_esEs13(yu300, yu40000, eh, fa, fb)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs22(yu310, yu40010, app(ty_[], bh)) → new_esEs5(yu310, yu40010, bh)
new_esEs20(yu301, yu40001, app(app(ty_Either, bab), bac)) → new_esEs9(yu301, yu40001, bab, bac)
new_esEs9(Left(yu300), Left(yu40000), app(ty_[], dc), bg) → new_esEs5(yu300, yu40000, dc)
new_esEs19(yu300, yu40000, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs24(yu301, yu40001, app(app(ty_@2, bec), bed)) → new_esEs12(yu301, yu40001, bec, bed)
new_esEs11(GT, GT) → True
new_sr(Neg(yu3010), Neg(yu400010)) → Pos(new_primMulNat0(yu3010, yu400010))
new_esEs20(yu301, yu40001, app(ty_Maybe, baa)) → new_esEs6(yu301, yu40001, baa)
new_esEs6(Just(yu300), Just(yu40000), ty_Integer) → new_esEs15(yu300, yu40000)
new_sr(Pos(yu3010), Pos(yu400010)) → Pos(new_primMulNat0(yu3010, yu400010))
new_asAs(False, yu33) → False
new_esEs19(yu300, yu40000, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_primEqNat0(Zero, Zero) → True
new_esEs19(yu300, yu40000, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_Maybe, eb)) → new_esEs6(yu300, yu40000, eb)
new_primMulNat0(Zero, Succ(yu4000100)) → Zero
new_primMulNat0(Succ(yu30100), Zero) → Zero
new_esEs19(yu300, yu40000, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(ty_Maybe, fd)) → new_esEs6(yu300, yu40000, fd)
new_esEs4(yu30, yu4000, ty_Bool) → new_esEs10(yu30, yu4000)
new_esEs21(yu302, yu40002, ty_Int) → new_esEs16(yu302, yu40002)
new_esEs19(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs23(yu300, yu40000, app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs13(yu300, yu40000, bdc, bdd, bde)
new_esEs22(yu310, yu40010, app(app(app(ty_@3, cc), cd), ce)) → new_esEs13(yu310, yu40010, cc, cd, ce)
new_esEs4(yu30, yu4000, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), app(app(ty_Either, da), db), bg) → new_esEs9(yu300, yu40000, da, db)
new_esEs23(yu300, yu40000, app(ty_Maybe, bce)) → new_esEs6(yu300, yu40000, bce)
new_esEs19(yu300, yu40000, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs21(yu302, yu40002, ty_@0) → new_esEs7(yu302, yu40002)
new_esEs24(yu301, yu40001, app(ty_[], beb)) → new_esEs5(yu301, yu40001, beb)
new_esEs22(yu310, yu40010, ty_@0) → new_esEs7(yu310, yu40010)
new_primPlusNat0(Succ(yu340), yu4000100) → Succ(Succ(new_primPlusNat1(yu340, yu4000100)))
new_esEs23(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs20(yu301, yu40001, ty_Double) → new_esEs8(yu301, yu40001)
new_esEs23(yu300, yu40000, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(app(ty_Either, ff), fg)) → new_esEs9(yu300, yu40000, ff, fg)
new_esEs19(yu300, yu40000, app(app(app(ty_@3, he), hf), hg)) → new_esEs13(yu300, yu40000, he, hf, hg)
new_esEs14(Char(yu300), Char(yu40000)) → new_primEqNat0(yu300, yu40000)
new_esEs19(yu300, yu40000, app(app(ty_Either, gh), ha)) → new_esEs9(yu300, yu40000, gh, ha)
new_esEs22(yu310, yu40010, ty_Char) → new_esEs14(yu310, yu40010)
new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) → new_primEqNat0(yu3000, yu400000)
new_esEs24(yu301, yu40001, ty_Double) → new_esEs8(yu301, yu40001)
new_esEs20(yu301, yu40001, ty_Float) → new_esEs17(yu301, yu40001)
new_esEs4(yu30, yu4000, ty_Double) → new_esEs8(yu30, yu4000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs9(Left(yu300), Left(yu40000), ty_Float, bg) → new_esEs17(yu300, yu40000)
new_primPlusNat1(Succ(yu3400), Zero) → Succ(yu3400)
new_primPlusNat1(Zero, Succ(yu40001000)) → Succ(yu40001000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs16(yu30, yu4000) → new_primEqInt(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), ty_Double, bg) → new_esEs8(yu300, yu40000)
new_esEs4(yu30, yu4000, app(app(ty_@2, ca), cb)) → new_esEs12(yu30, yu4000, ca, cb)
new_esEs4(yu30, yu4000, app(app(ty_Either, bf), bg)) → new_esEs9(yu30, yu4000, bf, bg)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs24(yu301, yu40001, ty_Bool) → new_esEs10(yu301, yu40001)
new_esEs4(yu30, yu4000, ty_Integer) → new_esEs15(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), ty_Integer, bg) → new_esEs15(yu300, yu40000)
new_esEs24(yu301, yu40001, app(app(app(ty_@3, bee), bef), beg)) → new_esEs13(yu301, yu40001, bee, bef, beg)
new_esEs21(yu302, yu40002, ty_Double) → new_esEs8(yu302, yu40002)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Integer) → new_esEs15(yu300, yu40000)
new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) → False
new_esEs9(Left(yu300), Left(yu40000), ty_Int, bg) → new_esEs16(yu300, yu40000)
new_esEs20(yu301, yu40001, app(app(app(ty_@3, bag), bah), bba)) → new_esEs13(yu301, yu40001, bag, bah, bba)
new_esEs17(Float(yu300, yu301), Float(yu40000, yu40001)) → new_esEs16(new_sr(yu300, yu40000), new_sr(yu301, yu40001))
new_esEs19(yu300, yu40000, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs22(yu310, yu40010, ty_Integer) → new_esEs15(yu310, yu40010)
new_esEs10(False, False) → True
new_esEs21(yu302, yu40002, ty_Float) → new_esEs17(yu302, yu40002)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs19(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs22(yu310, yu40010, app(app(ty_@2, ca), cb)) → new_esEs12(yu310, yu40010, ca, cb)
new_asAs(True, yu33) → yu33
new_primMulNat0(Succ(yu30100), Succ(yu4000100)) → new_primPlusNat0(new_primMulNat0(yu30100, Succ(yu4000100)), yu4000100)
new_esEs6(Just(yu300), Just(yu40000), ty_Float) → new_esEs17(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), ty_Double) → new_esEs8(yu300, yu40000)
new_esEs11(LT, LT) → True
new_esEs4(yu30, yu4000, ty_@0) → new_esEs7(yu30, yu4000)
new_esEs10(False, True) → False
new_esEs10(True, False) → False
new_esEs24(yu301, yu40001, ty_@0) → new_esEs7(yu301, yu40001)
new_esEs22(yu310, yu40010, ty_Double) → new_esEs8(yu310, yu40010)
new_esEs6(Nothing, Nothing, be) → True
new_esEs21(yu302, yu40002, ty_Char) → new_esEs14(yu302, yu40002)
new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) → new_primEqNat0(yu3000, yu400000)
new_esEs9(Left(yu300), Left(yu40000), app(app(app(ty_@3, df), dg), dh), bg) → new_esEs13(yu300, yu40000, df, dg, dh)
new_esEs21(yu302, yu40002, app(ty_Maybe, bbc)) → new_esEs6(yu302, yu40002, bbc)
new_esEs6(Just(yu300), Just(yu40000), ty_Int) → new_esEs16(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(app(ty_@2, ga), gb)) → new_esEs12(yu300, yu40000, ga, gb)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs26(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs24(yu301, yu40001, ty_Char) → new_esEs14(yu301, yu40001)
new_esEs6(Nothing, Just(yu40000), be) → False
new_esEs6(Just(yu300), Nothing, be) → False
new_primEqNat0(Succ(yu3000), Succ(yu400000)) → new_primEqNat0(yu3000, yu400000)
new_esEs11(GT, EQ) → False
new_esEs11(EQ, GT) → False
new_esEs24(yu301, yu40001, app(ty_Maybe, bdg)) → new_esEs6(yu301, yu40001, bdg)
new_esEs9(Left(yu300), Left(yu40000), app(ty_Ratio, ea), bg) → new_esEs18(yu300, yu40000, ea)
new_esEs21(yu302, yu40002, ty_Bool) → new_esEs10(yu302, yu40002)
new_esEs24(yu301, yu40001, app(ty_Ratio, beh)) → new_esEs18(yu301, yu40001, beh)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_Ratio, fc)) → new_esEs18(yu300, yu40000, fc)
new_esEs7(@0, @0) → True
new_esEs21(yu302, yu40002, app(app(ty_Either, bbd), bbe)) → new_esEs9(yu302, yu40002, bbd, bbe)
new_esEs12(@2(yu300, yu301), @2(yu40000, yu40001), ca, cb) → new_asAs(new_esEs23(yu300, yu40000, ca), new_esEs24(yu301, yu40001, cb))
new_esEs9(Left(yu300), Left(yu40000), app(app(ty_@2, dd), de), bg) → new_esEs12(yu300, yu40000, dd, de)
new_esEs4(yu30, yu4000, ty_Char) → new_esEs14(yu30, yu4000)
new_esEs19(yu300, yu40000, app(ty_[], hb)) → new_esEs5(yu300, yu40000, hb)
new_esEs24(yu301, yu40001, app(app(ty_Either, bdh), bea)) → new_esEs9(yu301, yu40001, bdh, bea)
new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) → False
new_esEs22(yu310, yu40010, ty_Ordering) → new_esEs11(yu310, yu40010)
new_esEs9(Right(yu300), Left(yu40000), bf, bg) → False
new_esEs9(Left(yu300), Right(yu40000), bf, bg) → False
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs21(yu302, yu40002, app(ty_Ratio, bcd)) → new_esEs18(yu302, yu40002, bcd)
new_esEs22(yu310, yu40010, ty_Int) → new_esEs16(yu310, yu40010)
new_esEs5(:(yu310, yu311), :(yu40010, yu40011), bd) → new_asAs(new_esEs22(yu310, yu40010, bd), new_esEs5(yu311, yu40011, bd))
new_esEs6(Just(yu300), Just(yu40000), app(ty_Ratio, gf)) → new_esEs18(yu300, yu40000, gf)

The set Q consists of the following terms:

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

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ DependencyGraphProof

                  ↳ AND

                    ↳ QDP

                      ↳ UsableRulesProof

                    ↳ QDP

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

new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup([], yu41, bc, bd)

The TRS R consists of the following rules:

new_esEs9(Left(yu300), Left(yu40000), ty_@0, bg) → new_esEs7(yu300, yu40000)
new_primPlusNat1(Succ(yu3400), Succ(yu40001000)) → Succ(Succ(new_primPlusNat1(yu3400, yu40001000)))
new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) → False
new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) → False
new_esEs23(yu300, yu40000, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Ordering) → new_esEs11(yu301, yu40001)
new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) → False
new_esEs21(yu302, yu40002, ty_Integer) → new_esEs15(yu302, yu40002)
new_esEs4(yu30, yu4000, app(app(app(ty_@3, cc), cd), ce)) → new_esEs13(yu30, yu4000, cc, cd, ce)
new_esEs5([], [], bd) → True
new_esEs21(yu302, yu40002, ty_Ordering) → new_esEs11(yu302, yu40002)
new_esEs20(yu301, yu40001, ty_Bool) → new_esEs10(yu301, yu40001)
new_esEs9(Left(yu300), Left(yu40000), ty_Bool, bg) → new_esEs10(yu300, yu40000)
new_esEs11(EQ, EQ) → True
new_esEs23(yu300, yu40000, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), ty_Char) → new_esEs14(yu300, yu40000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs19(yu300, yu40000, app(ty_Ratio, hh)) → new_esEs18(yu300, yu40000, hh)
new_esEs18(:%(yu300, yu301), :%(yu40000, yu40001), cf) → new_asAs(new_esEs25(yu300, yu40000, cf), new_esEs26(yu301, yu40001, cf))
new_esEs6(Just(yu300), Just(yu40000), ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs21(yu302, yu40002, app(ty_[], bbf)) → new_esEs5(yu302, yu40002, bbf)
new_esEs20(yu301, yu40001, ty_Ordering) → new_esEs11(yu301, yu40001)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_[], ee)) → new_esEs5(yu300, yu40000, ee)
new_esEs4(yu30, yu4000, app(ty_Ratio, cf)) → new_esEs18(yu30, yu4000, cf)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(ty_Either, ec), ed)) → new_esEs9(yu300, yu40000, ec, ed)
new_esEs5([], :(yu40010, yu40011), bd) → False
new_esEs5(:(yu310, yu311), [], bd) → False
new_esEs4(yu30, yu4000, app(ty_Maybe, be)) → new_esEs6(yu30, yu4000, be)
new_esEs9(Left(yu300), Left(yu40000), app(ty_Maybe, cg), bg) → new_esEs6(yu300, yu40000, cg)
new_primPlusNat0(Zero, yu4000100) → Succ(yu4000100)
new_esEs6(Just(yu300), Just(yu40000), ty_@0) → new_esEs7(yu300, yu40000)
new_esEs11(GT, LT) → False
new_esEs11(LT, GT) → False
new_esEs20(yu301, yu40001, ty_Char) → new_esEs14(yu301, yu40001)
new_esEs23(yu300, yu40000, app(app(ty_@2, bda), bdb)) → new_esEs12(yu300, yu40000, bda, bdb)
new_esEs6(Just(yu300), Just(yu40000), ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs25(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs9(Left(yu300), Left(yu40000), ty_Char, bg) → new_esEs14(yu300, yu40000)
new_sr(Neg(yu3010), Pos(yu400010)) → Neg(new_primMulNat0(yu3010, yu400010))
new_sr(Pos(yu3010), Neg(yu400010)) → Neg(new_primMulNat0(yu3010, yu400010))
new_esEs9(Left(yu300), Left(yu40000), ty_Ordering, bg) → new_esEs11(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Float) → new_esEs17(yu301, yu40001)
new_esEs11(EQ, LT) → False
new_esEs11(LT, EQ) → False
new_esEs8(Double(yu300, yu301), Double(yu40000, yu40001)) → new_esEs16(new_sr(yu300, yu40000), new_sr(yu301, yu40001))
new_esEs22(yu310, yu40010, ty_Bool) → new_esEs10(yu310, yu40010)
new_esEs13(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, cd, ce) → new_asAs(new_esEs19(yu300, yu40000, cc), new_asAs(new_esEs20(yu301, yu40001, cd), new_esEs21(yu302, yu40002, ce)))
new_esEs22(yu310, yu40010, app(ty_Maybe, be)) → new_esEs6(yu310, yu40010, be)
new_esEs15(Integer(yu300), Integer(yu40000)) → new_primEqInt(yu300, yu40000)
new_esEs4(yu30, yu4000, ty_Ordering) → new_esEs11(yu30, yu4000)
new_esEs20(yu301, yu40001, app(app(ty_@2, bae), baf)) → new_esEs12(yu301, yu40001, bae, baf)
new_esEs4(yu30, yu4000, ty_Float) → new_esEs17(yu30, yu4000)
new_esEs10(True, True) → True
new_esEs20(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs22(yu310, yu40010, app(ty_Ratio, cf)) → new_esEs18(yu310, yu40010, cf)
new_primEqNat0(Zero, Succ(yu400000)) → False
new_primEqNat0(Succ(yu3000), Zero) → False
new_esEs22(yu310, yu40010, ty_Float) → new_esEs17(yu310, yu40010)
new_esEs4(yu30, yu4000, app(ty_[], bh)) → new_esEs5(yu30, yu4000, bh)
new_esEs20(yu301, yu40001, ty_@0) → new_esEs7(yu301, yu40001)
new_esEs23(yu300, yu40000, app(app(ty_Either, bcf), bcg)) → new_esEs9(yu300, yu40000, bcf, bcg)
new_esEs22(yu310, yu40010, app(app(ty_Either, bf), bg)) → new_esEs9(yu310, yu40010, bf, bg)
new_esEs20(yu301, yu40001, app(ty_[], bad)) → new_esEs5(yu301, yu40001, bad)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs23(yu300, yu40000, app(ty_Ratio, bdf)) → new_esEs18(yu300, yu40000, bdf)
new_esEs19(yu300, yu40000, app(app(ty_@2, hc), hd)) → new_esEs12(yu300, yu40000, hc, hd)
new_esEs20(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_esEs26(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_esEs23(yu300, yu40000, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs19(yu300, yu40000, app(ty_Maybe, gg)) → new_esEs6(yu300, yu40000, gg)
new_esEs23(yu300, yu40000, app(ty_[], bch)) → new_esEs5(yu300, yu40000, bch)
new_esEs21(yu302, yu40002, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs13(yu302, yu40002, bca, bcb, bcc)
new_esEs25(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(ty_@2, ef), eg)) → new_esEs12(yu300, yu40000, ef, eg)
new_esEs21(yu302, yu40002, app(app(ty_@2, bbg), bbh)) → new_esEs12(yu302, yu40002, bbg, bbh)
new_esEs20(yu301, yu40001, app(ty_Ratio, bbb)) → new_esEs18(yu301, yu40001, bbb)
new_esEs6(Just(yu300), Just(yu40000), app(app(app(ty_@3, gc), gd), ge)) → new_esEs13(yu300, yu40000, gc, gd, ge)
new_esEs6(Just(yu300), Just(yu40000), app(ty_[], fh)) → new_esEs5(yu300, yu40000, fh)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(app(ty_@3, eh), fa), fb)) → new_esEs13(yu300, yu40000, eh, fa, fb)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs22(yu310, yu40010, app(ty_[], bh)) → new_esEs5(yu310, yu40010, bh)
new_esEs20(yu301, yu40001, app(app(ty_Either, bab), bac)) → new_esEs9(yu301, yu40001, bab, bac)
new_esEs9(Left(yu300), Left(yu40000), app(ty_[], dc), bg) → new_esEs5(yu300, yu40000, dc)
new_esEs19(yu300, yu40000, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs24(yu301, yu40001, app(app(ty_@2, bec), bed)) → new_esEs12(yu301, yu40001, bec, bed)
new_esEs11(GT, GT) → True
new_sr(Neg(yu3010), Neg(yu400010)) → Pos(new_primMulNat0(yu3010, yu400010))
new_esEs20(yu301, yu40001, app(ty_Maybe, baa)) → new_esEs6(yu301, yu40001, baa)
new_esEs6(Just(yu300), Just(yu40000), ty_Integer) → new_esEs15(yu300, yu40000)
new_sr(Pos(yu3010), Pos(yu400010)) → Pos(new_primMulNat0(yu3010, yu400010))
new_asAs(False, yu33) → False
new_esEs19(yu300, yu40000, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_primEqNat0(Zero, Zero) → True
new_esEs19(yu300, yu40000, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_Maybe, eb)) → new_esEs6(yu300, yu40000, eb)
new_primMulNat0(Zero, Succ(yu4000100)) → Zero
new_primMulNat0(Succ(yu30100), Zero) → Zero
new_esEs19(yu300, yu40000, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(ty_Maybe, fd)) → new_esEs6(yu300, yu40000, fd)
new_esEs4(yu30, yu4000, ty_Bool) → new_esEs10(yu30, yu4000)
new_esEs21(yu302, yu40002, ty_Int) → new_esEs16(yu302, yu40002)
new_esEs19(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs23(yu300, yu40000, app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs13(yu300, yu40000, bdc, bdd, bde)
new_esEs22(yu310, yu40010, app(app(app(ty_@3, cc), cd), ce)) → new_esEs13(yu310, yu40010, cc, cd, ce)
new_esEs4(yu30, yu4000, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), app(app(ty_Either, da), db), bg) → new_esEs9(yu300, yu40000, da, db)
new_esEs23(yu300, yu40000, app(ty_Maybe, bce)) → new_esEs6(yu300, yu40000, bce)
new_esEs19(yu300, yu40000, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs21(yu302, yu40002, ty_@0) → new_esEs7(yu302, yu40002)
new_esEs24(yu301, yu40001, app(ty_[], beb)) → new_esEs5(yu301, yu40001, beb)
new_esEs22(yu310, yu40010, ty_@0) → new_esEs7(yu310, yu40010)
new_primPlusNat0(Succ(yu340), yu4000100) → Succ(Succ(new_primPlusNat1(yu340, yu4000100)))
new_esEs23(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs20(yu301, yu40001, ty_Double) → new_esEs8(yu301, yu40001)
new_esEs23(yu300, yu40000, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(app(ty_Either, ff), fg)) → new_esEs9(yu300, yu40000, ff, fg)
new_esEs19(yu300, yu40000, app(app(app(ty_@3, he), hf), hg)) → new_esEs13(yu300, yu40000, he, hf, hg)
new_esEs14(Char(yu300), Char(yu40000)) → new_primEqNat0(yu300, yu40000)
new_esEs19(yu300, yu40000, app(app(ty_Either, gh), ha)) → new_esEs9(yu300, yu40000, gh, ha)
new_esEs22(yu310, yu40010, ty_Char) → new_esEs14(yu310, yu40010)
new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) → new_primEqNat0(yu3000, yu400000)
new_esEs24(yu301, yu40001, ty_Double) → new_esEs8(yu301, yu40001)
new_esEs20(yu301, yu40001, ty_Float) → new_esEs17(yu301, yu40001)
new_esEs4(yu30, yu4000, ty_Double) → new_esEs8(yu30, yu4000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs9(Left(yu300), Left(yu40000), ty_Float, bg) → new_esEs17(yu300, yu40000)
new_primPlusNat1(Succ(yu3400), Zero) → Succ(yu3400)
new_primPlusNat1(Zero, Succ(yu40001000)) → Succ(yu40001000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs16(yu30, yu4000) → new_primEqInt(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), ty_Double, bg) → new_esEs8(yu300, yu40000)
new_esEs4(yu30, yu4000, app(app(ty_@2, ca), cb)) → new_esEs12(yu30, yu4000, ca, cb)
new_esEs4(yu30, yu4000, app(app(ty_Either, bf), bg)) → new_esEs9(yu30, yu4000, bf, bg)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs24(yu301, yu40001, ty_Bool) → new_esEs10(yu301, yu40001)
new_esEs4(yu30, yu4000, ty_Integer) → new_esEs15(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), ty_Integer, bg) → new_esEs15(yu300, yu40000)
new_esEs24(yu301, yu40001, app(app(app(ty_@3, bee), bef), beg)) → new_esEs13(yu301, yu40001, bee, bef, beg)
new_esEs21(yu302, yu40002, ty_Double) → new_esEs8(yu302, yu40002)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Integer) → new_esEs15(yu300, yu40000)
new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) → False
new_esEs9(Left(yu300), Left(yu40000), ty_Int, bg) → new_esEs16(yu300, yu40000)
new_esEs20(yu301, yu40001, app(app(app(ty_@3, bag), bah), bba)) → new_esEs13(yu301, yu40001, bag, bah, bba)
new_esEs17(Float(yu300, yu301), Float(yu40000, yu40001)) → new_esEs16(new_sr(yu300, yu40000), new_sr(yu301, yu40001))
new_esEs19(yu300, yu40000, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs22(yu310, yu40010, ty_Integer) → new_esEs15(yu310, yu40010)
new_esEs10(False, False) → True
new_esEs21(yu302, yu40002, ty_Float) → new_esEs17(yu302, yu40002)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs19(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs22(yu310, yu40010, app(app(ty_@2, ca), cb)) → new_esEs12(yu310, yu40010, ca, cb)
new_asAs(True, yu33) → yu33
new_primMulNat0(Succ(yu30100), Succ(yu4000100)) → new_primPlusNat0(new_primMulNat0(yu30100, Succ(yu4000100)), yu4000100)
new_esEs6(Just(yu300), Just(yu40000), ty_Float) → new_esEs17(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), ty_Double) → new_esEs8(yu300, yu40000)
new_esEs11(LT, LT) → True
new_esEs4(yu30, yu4000, ty_@0) → new_esEs7(yu30, yu4000)
new_esEs10(False, True) → False
new_esEs10(True, False) → False
new_esEs24(yu301, yu40001, ty_@0) → new_esEs7(yu301, yu40001)
new_esEs22(yu310, yu40010, ty_Double) → new_esEs8(yu310, yu40010)
new_esEs6(Nothing, Nothing, be) → True
new_esEs21(yu302, yu40002, ty_Char) → new_esEs14(yu302, yu40002)
new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) → new_primEqNat0(yu3000, yu400000)
new_esEs9(Left(yu300), Left(yu40000), app(app(app(ty_@3, df), dg), dh), bg) → new_esEs13(yu300, yu40000, df, dg, dh)
new_esEs21(yu302, yu40002, app(ty_Maybe, bbc)) → new_esEs6(yu302, yu40002, bbc)
new_esEs6(Just(yu300), Just(yu40000), ty_Int) → new_esEs16(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(app(ty_@2, ga), gb)) → new_esEs12(yu300, yu40000, ga, gb)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs26(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs24(yu301, yu40001, ty_Char) → new_esEs14(yu301, yu40001)
new_esEs6(Nothing, Just(yu40000), be) → False
new_esEs6(Just(yu300), Nothing, be) → False
new_primEqNat0(Succ(yu3000), Succ(yu400000)) → new_primEqNat0(yu3000, yu400000)
new_esEs11(GT, EQ) → False
new_esEs11(EQ, GT) → False
new_esEs24(yu301, yu40001, app(ty_Maybe, bdg)) → new_esEs6(yu301, yu40001, bdg)
new_esEs9(Left(yu300), Left(yu40000), app(ty_Ratio, ea), bg) → new_esEs18(yu300, yu40000, ea)
new_esEs21(yu302, yu40002, ty_Bool) → new_esEs10(yu302, yu40002)
new_esEs24(yu301, yu40001, app(ty_Ratio, beh)) → new_esEs18(yu301, yu40001, beh)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_Ratio, fc)) → new_esEs18(yu300, yu40000, fc)
new_esEs7(@0, @0) → True
new_esEs21(yu302, yu40002, app(app(ty_Either, bbd), bbe)) → new_esEs9(yu302, yu40002, bbd, bbe)
new_esEs12(@2(yu300, yu301), @2(yu40000, yu40001), ca, cb) → new_asAs(new_esEs23(yu300, yu40000, ca), new_esEs24(yu301, yu40001, cb))
new_esEs9(Left(yu300), Left(yu40000), app(app(ty_@2, dd), de), bg) → new_esEs12(yu300, yu40000, dd, de)
new_esEs4(yu30, yu4000, ty_Char) → new_esEs14(yu30, yu4000)
new_esEs19(yu300, yu40000, app(ty_[], hb)) → new_esEs5(yu300, yu40000, hb)
new_esEs24(yu301, yu40001, app(app(ty_Either, bdh), bea)) → new_esEs9(yu301, yu40001, bdh, bea)
new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) → False
new_esEs22(yu310, yu40010, ty_Ordering) → new_esEs11(yu310, yu40010)
new_esEs9(Right(yu300), Left(yu40000), bf, bg) → False
new_esEs9(Left(yu300), Right(yu40000), bf, bg) → False
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs21(yu302, yu40002, app(ty_Ratio, bcd)) → new_esEs18(yu302, yu40002, bcd)
new_esEs22(yu310, yu40010, ty_Int) → new_esEs16(yu310, yu40010)
new_esEs5(:(yu310, yu311), :(yu40010, yu40011), bd) → new_asAs(new_esEs22(yu310, yu40010, bd), new_esEs5(yu311, yu40011, bd))
new_esEs6(Just(yu300), Just(yu40000), app(ty_Ratio, gf)) → new_esEs18(yu300, yu40000, gf)

The set Q consists of the following terms:

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

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ DependencyGraphProof

                  ↳ AND

                    ↳ QDP

                      ↳ UsableRulesProof

                        ↳ QDP

                          ↳ QReductionProof

                    ↳ QDP

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

new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup([], yu41, bc, bd)

R is empty.
The set Q consists of the following terms:

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

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

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

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ DependencyGraphProof

                  ↳ AND

                    ↳ QDP

                      ↳ UsableRulesProof

                        ↳ QDP

                          ↳ QReductionProof

                            ↳ QDP

                              ↳ QDPSizeChangeProof

                    ↳ QDP

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

new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup([], yu41, bc, bd)

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

new_lookup([], :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup([], yu41, bc, bd)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ DependencyGraphProof

                  ↳ AND

                    ↳ QDP

                    ↳ QDP

                      ↳ QDPSizeChangeProof

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

new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bc, bd) → new_lookup(:(yu30, yu31), yu41, bc, bd)
new_lookup(:(yu30, yu31), :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs4(yu30, yu4000, bd), new_esEs5(yu31, yu4001, bd)), bc, bd)
new_lookup1(yu13, yu14, yu15, yu16, yu17, yu18, False, ba, bb) → new_lookup(:(yu13, yu14), yu18, ba, bb)

The TRS R consists of the following rules:

new_esEs9(Left(yu300), Left(yu40000), ty_@0, bg) → new_esEs7(yu300, yu40000)
new_primPlusNat1(Succ(yu3400), Succ(yu40001000)) → Succ(Succ(new_primPlusNat1(yu3400, yu40001000)))
new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) → False
new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) → False
new_esEs23(yu300, yu40000, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Ordering) → new_esEs11(yu301, yu40001)
new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) → False
new_esEs21(yu302, yu40002, ty_Integer) → new_esEs15(yu302, yu40002)
new_esEs4(yu30, yu4000, app(app(app(ty_@3, cc), cd), ce)) → new_esEs13(yu30, yu4000, cc, cd, ce)
new_esEs5([], [], bd) → True
new_esEs21(yu302, yu40002, ty_Ordering) → new_esEs11(yu302, yu40002)
new_esEs20(yu301, yu40001, ty_Bool) → new_esEs10(yu301, yu40001)
new_esEs9(Left(yu300), Left(yu40000), ty_Bool, bg) → new_esEs10(yu300, yu40000)
new_esEs11(EQ, EQ) → True
new_esEs23(yu300, yu40000, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), ty_Char) → new_esEs14(yu300, yu40000)
new_primMulNat0(Zero, Zero) → Zero
new_esEs19(yu300, yu40000, app(ty_Ratio, hh)) → new_esEs18(yu300, yu40000, hh)
new_esEs18(:%(yu300, yu301), :%(yu40000, yu40001), cf) → new_asAs(new_esEs25(yu300, yu40000, cf), new_esEs26(yu301, yu40001, cf))
new_esEs6(Just(yu300), Just(yu40000), ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs21(yu302, yu40002, app(ty_[], bbf)) → new_esEs5(yu302, yu40002, bbf)
new_esEs20(yu301, yu40001, ty_Ordering) → new_esEs11(yu301, yu40001)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_[], ee)) → new_esEs5(yu300, yu40000, ee)
new_esEs4(yu30, yu4000, app(ty_Ratio, cf)) → new_esEs18(yu30, yu4000, cf)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(ty_Either, ec), ed)) → new_esEs9(yu300, yu40000, ec, ed)
new_esEs5([], :(yu40010, yu40011), bd) → False
new_esEs5(:(yu310, yu311), [], bd) → False
new_esEs4(yu30, yu4000, app(ty_Maybe, be)) → new_esEs6(yu30, yu4000, be)
new_esEs9(Left(yu300), Left(yu40000), app(ty_Maybe, cg), bg) → new_esEs6(yu300, yu40000, cg)
new_primPlusNat0(Zero, yu4000100) → Succ(yu4000100)
new_esEs6(Just(yu300), Just(yu40000), ty_@0) → new_esEs7(yu300, yu40000)
new_esEs11(GT, LT) → False
new_esEs11(LT, GT) → False
new_esEs20(yu301, yu40001, ty_Char) → new_esEs14(yu301, yu40001)
new_esEs23(yu300, yu40000, app(app(ty_@2, bda), bdb)) → new_esEs12(yu300, yu40000, bda, bdb)
new_esEs6(Just(yu300), Just(yu40000), ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs25(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs9(Left(yu300), Left(yu40000), ty_Char, bg) → new_esEs14(yu300, yu40000)
new_sr(Neg(yu3010), Pos(yu400010)) → Neg(new_primMulNat0(yu3010, yu400010))
new_sr(Pos(yu3010), Neg(yu400010)) → Neg(new_primMulNat0(yu3010, yu400010))
new_esEs9(Left(yu300), Left(yu40000), ty_Ordering, bg) → new_esEs11(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Float) → new_esEs17(yu301, yu40001)
new_esEs11(EQ, LT) → False
new_esEs11(LT, EQ) → False
new_esEs8(Double(yu300, yu301), Double(yu40000, yu40001)) → new_esEs16(new_sr(yu300, yu40000), new_sr(yu301, yu40001))
new_esEs22(yu310, yu40010, ty_Bool) → new_esEs10(yu310, yu40010)
new_esEs13(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, cd, ce) → new_asAs(new_esEs19(yu300, yu40000, cc), new_asAs(new_esEs20(yu301, yu40001, cd), new_esEs21(yu302, yu40002, ce)))
new_esEs22(yu310, yu40010, app(ty_Maybe, be)) → new_esEs6(yu310, yu40010, be)
new_esEs15(Integer(yu300), Integer(yu40000)) → new_primEqInt(yu300, yu40000)
new_esEs4(yu30, yu4000, ty_Ordering) → new_esEs11(yu30, yu4000)
new_esEs20(yu301, yu40001, app(app(ty_@2, bae), baf)) → new_esEs12(yu301, yu40001, bae, baf)
new_esEs4(yu30, yu4000, ty_Float) → new_esEs17(yu30, yu4000)
new_esEs10(True, True) → True
new_esEs20(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs22(yu310, yu40010, app(ty_Ratio, cf)) → new_esEs18(yu310, yu40010, cf)
new_primEqNat0(Zero, Succ(yu400000)) → False
new_primEqNat0(Succ(yu3000), Zero) → False
new_esEs22(yu310, yu40010, ty_Float) → new_esEs17(yu310, yu40010)
new_esEs4(yu30, yu4000, app(ty_[], bh)) → new_esEs5(yu30, yu4000, bh)
new_esEs20(yu301, yu40001, ty_@0) → new_esEs7(yu301, yu40001)
new_esEs23(yu300, yu40000, app(app(ty_Either, bcf), bcg)) → new_esEs9(yu300, yu40000, bcf, bcg)
new_esEs22(yu310, yu40010, app(app(ty_Either, bf), bg)) → new_esEs9(yu310, yu40010, bf, bg)
new_esEs20(yu301, yu40001, app(ty_[], bad)) → new_esEs5(yu301, yu40001, bad)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs23(yu300, yu40000, app(ty_Ratio, bdf)) → new_esEs18(yu300, yu40000, bdf)
new_esEs19(yu300, yu40000, app(app(ty_@2, hc), hd)) → new_esEs12(yu300, yu40000, hc, hd)
new_esEs20(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_esEs26(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_esEs23(yu300, yu40000, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs19(yu300, yu40000, app(ty_Maybe, gg)) → new_esEs6(yu300, yu40000, gg)
new_esEs23(yu300, yu40000, app(ty_[], bch)) → new_esEs5(yu300, yu40000, bch)
new_esEs21(yu302, yu40002, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs13(yu302, yu40002, bca, bcb, bcc)
new_esEs25(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(ty_@2, ef), eg)) → new_esEs12(yu300, yu40000, ef, eg)
new_esEs21(yu302, yu40002, app(app(ty_@2, bbg), bbh)) → new_esEs12(yu302, yu40002, bbg, bbh)
new_esEs20(yu301, yu40001, app(ty_Ratio, bbb)) → new_esEs18(yu301, yu40001, bbb)
new_esEs6(Just(yu300), Just(yu40000), app(app(app(ty_@3, gc), gd), ge)) → new_esEs13(yu300, yu40000, gc, gd, ge)
new_esEs6(Just(yu300), Just(yu40000), app(ty_[], fh)) → new_esEs5(yu300, yu40000, fh)
new_esEs9(Right(yu300), Right(yu40000), bf, app(app(app(ty_@3, eh), fa), fb)) → new_esEs13(yu300, yu40000, eh, fa, fb)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs22(yu310, yu40010, app(ty_[], bh)) → new_esEs5(yu310, yu40010, bh)
new_esEs20(yu301, yu40001, app(app(ty_Either, bab), bac)) → new_esEs9(yu301, yu40001, bab, bac)
new_esEs9(Left(yu300), Left(yu40000), app(ty_[], dc), bg) → new_esEs5(yu300, yu40000, dc)
new_esEs19(yu300, yu40000, ty_Float) → new_esEs17(yu300, yu40000)
new_esEs24(yu301, yu40001, app(app(ty_@2, bec), bed)) → new_esEs12(yu301, yu40001, bec, bed)
new_esEs11(GT, GT) → True
new_sr(Neg(yu3010), Neg(yu400010)) → Pos(new_primMulNat0(yu3010, yu400010))
new_esEs20(yu301, yu40001, app(ty_Maybe, baa)) → new_esEs6(yu301, yu40001, baa)
new_esEs6(Just(yu300), Just(yu40000), ty_Integer) → new_esEs15(yu300, yu40000)
new_sr(Pos(yu3010), Pos(yu400010)) → Pos(new_primMulNat0(yu3010, yu400010))
new_asAs(False, yu33) → False
new_esEs19(yu300, yu40000, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs24(yu301, yu40001, ty_Int) → new_esEs16(yu301, yu40001)
new_primEqNat0(Zero, Zero) → True
new_esEs19(yu300, yu40000, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_Maybe, eb)) → new_esEs6(yu300, yu40000, eb)
new_primMulNat0(Zero, Succ(yu4000100)) → Zero
new_primMulNat0(Succ(yu30100), Zero) → Zero
new_esEs19(yu300, yu40000, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(ty_Maybe, fd)) → new_esEs6(yu300, yu40000, fd)
new_esEs4(yu30, yu4000, ty_Bool) → new_esEs10(yu30, yu4000)
new_esEs21(yu302, yu40002, ty_Int) → new_esEs16(yu302, yu40002)
new_esEs19(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs23(yu300, yu40000, app(app(app(ty_@3, bdc), bdd), bde)) → new_esEs13(yu300, yu40000, bdc, bdd, bde)
new_esEs22(yu310, yu40010, app(app(app(ty_@3, cc), cd), ce)) → new_esEs13(yu310, yu40010, cc, cd, ce)
new_esEs4(yu30, yu4000, ty_Int) → new_esEs16(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), app(app(ty_Either, da), db), bg) → new_esEs9(yu300, yu40000, da, db)
new_esEs23(yu300, yu40000, app(ty_Maybe, bce)) → new_esEs6(yu300, yu40000, bce)
new_esEs19(yu300, yu40000, ty_Ordering) → new_esEs11(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs21(yu302, yu40002, ty_@0) → new_esEs7(yu302, yu40002)
new_esEs24(yu301, yu40001, app(ty_[], beb)) → new_esEs5(yu301, yu40001, beb)
new_esEs22(yu310, yu40010, ty_@0) → new_esEs7(yu310, yu40010)
new_primPlusNat0(Succ(yu340), yu4000100) → Succ(Succ(new_primPlusNat1(yu340, yu4000100)))
new_esEs23(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs20(yu301, yu40001, ty_Double) → new_esEs8(yu301, yu40001)
new_esEs23(yu300, yu40000, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs23(yu300, yu40000, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(app(ty_Either, ff), fg)) → new_esEs9(yu300, yu40000, ff, fg)
new_esEs19(yu300, yu40000, app(app(app(ty_@3, he), hf), hg)) → new_esEs13(yu300, yu40000, he, hf, hg)
new_esEs14(Char(yu300), Char(yu40000)) → new_primEqNat0(yu300, yu40000)
new_esEs19(yu300, yu40000, app(app(ty_Either, gh), ha)) → new_esEs9(yu300, yu40000, gh, ha)
new_esEs22(yu310, yu40010, ty_Char) → new_esEs14(yu310, yu40010)
new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) → new_primEqNat0(yu3000, yu400000)
new_esEs24(yu301, yu40001, ty_Double) → new_esEs8(yu301, yu40001)
new_esEs20(yu301, yu40001, ty_Float) → new_esEs17(yu301, yu40001)
new_esEs4(yu30, yu4000, ty_Double) → new_esEs8(yu30, yu4000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Int) → new_esEs16(yu300, yu40000)
new_esEs9(Left(yu300), Left(yu40000), ty_Float, bg) → new_esEs17(yu300, yu40000)
new_primPlusNat1(Succ(yu3400), Zero) → Succ(yu3400)
new_primPlusNat1(Zero, Succ(yu40001000)) → Succ(yu40001000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Char) → new_esEs14(yu300, yu40000)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Bool) → new_esEs10(yu300, yu40000)
new_esEs16(yu30, yu4000) → new_primEqInt(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), ty_Double, bg) → new_esEs8(yu300, yu40000)
new_esEs4(yu30, yu4000, app(app(ty_@2, ca), cb)) → new_esEs12(yu30, yu4000, ca, cb)
new_esEs4(yu30, yu4000, app(app(ty_Either, bf), bg)) → new_esEs9(yu30, yu4000, bf, bg)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs24(yu301, yu40001, ty_Bool) → new_esEs10(yu301, yu40001)
new_esEs4(yu30, yu4000, ty_Integer) → new_esEs15(yu30, yu4000)
new_esEs9(Left(yu300), Left(yu40000), ty_Integer, bg) → new_esEs15(yu300, yu40000)
new_esEs24(yu301, yu40001, app(app(app(ty_@3, bee), bef), beg)) → new_esEs13(yu301, yu40001, bee, bef, beg)
new_esEs21(yu302, yu40002, ty_Double) → new_esEs8(yu302, yu40002)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_Integer) → new_esEs15(yu300, yu40000)
new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) → False
new_esEs9(Left(yu300), Left(yu40000), ty_Int, bg) → new_esEs16(yu300, yu40000)
new_esEs20(yu301, yu40001, app(app(app(ty_@3, bag), bah), bba)) → new_esEs13(yu301, yu40001, bag, bah, bba)
new_esEs17(Float(yu300, yu301), Float(yu40000, yu40001)) → new_esEs16(new_sr(yu300, yu40000), new_sr(yu301, yu40001))
new_esEs19(yu300, yu40000, ty_Double) → new_esEs8(yu300, yu40000)
new_esEs22(yu310, yu40010, ty_Integer) → new_esEs15(yu310, yu40010)
new_esEs10(False, False) → True
new_esEs21(yu302, yu40002, ty_Float) → new_esEs17(yu302, yu40002)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs19(yu300, yu40000, ty_Integer) → new_esEs15(yu300, yu40000)
new_esEs22(yu310, yu40010, app(app(ty_@2, ca), cb)) → new_esEs12(yu310, yu40010, ca, cb)
new_asAs(True, yu33) → yu33
new_primMulNat0(Succ(yu30100), Succ(yu4000100)) → new_primPlusNat0(new_primMulNat0(yu30100, Succ(yu4000100)), yu4000100)
new_esEs6(Just(yu300), Just(yu40000), ty_Float) → new_esEs17(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), ty_Double) → new_esEs8(yu300, yu40000)
new_esEs11(LT, LT) → True
new_esEs4(yu30, yu4000, ty_@0) → new_esEs7(yu30, yu4000)
new_esEs10(False, True) → False
new_esEs10(True, False) → False
new_esEs24(yu301, yu40001, ty_@0) → new_esEs7(yu301, yu40001)
new_esEs22(yu310, yu40010, ty_Double) → new_esEs8(yu310, yu40010)
new_esEs6(Nothing, Nothing, be) → True
new_esEs21(yu302, yu40002, ty_Char) → new_esEs14(yu302, yu40002)
new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) → new_primEqNat0(yu3000, yu400000)
new_esEs9(Left(yu300), Left(yu40000), app(app(app(ty_@3, df), dg), dh), bg) → new_esEs13(yu300, yu40000, df, dg, dh)
new_esEs21(yu302, yu40002, app(ty_Maybe, bbc)) → new_esEs6(yu302, yu40002, bbc)
new_esEs6(Just(yu300), Just(yu40000), ty_Int) → new_esEs16(yu300, yu40000)
new_esEs6(Just(yu300), Just(yu40000), app(app(ty_@2, ga), gb)) → new_esEs12(yu300, yu40000, ga, gb)
new_esEs9(Right(yu300), Right(yu40000), bf, ty_@0) → new_esEs7(yu300, yu40000)
new_esEs26(yu301, yu40001, ty_Integer) → new_esEs15(yu301, yu40001)
new_esEs24(yu301, yu40001, ty_Char) → new_esEs14(yu301, yu40001)
new_esEs6(Nothing, Just(yu40000), be) → False
new_esEs6(Just(yu300), Nothing, be) → False
new_primEqNat0(Succ(yu3000), Succ(yu400000)) → new_primEqNat0(yu3000, yu400000)
new_esEs11(GT, EQ) → False
new_esEs11(EQ, GT) → False
new_esEs24(yu301, yu40001, app(ty_Maybe, bdg)) → new_esEs6(yu301, yu40001, bdg)
new_esEs9(Left(yu300), Left(yu40000), app(ty_Ratio, ea), bg) → new_esEs18(yu300, yu40000, ea)
new_esEs21(yu302, yu40002, ty_Bool) → new_esEs10(yu302, yu40002)
new_esEs24(yu301, yu40001, app(ty_Ratio, beh)) → new_esEs18(yu301, yu40001, beh)
new_esEs9(Right(yu300), Right(yu40000), bf, app(ty_Ratio, fc)) → new_esEs18(yu300, yu40000, fc)
new_esEs7(@0, @0) → True
new_esEs21(yu302, yu40002, app(app(ty_Either, bbd), bbe)) → new_esEs9(yu302, yu40002, bbd, bbe)
new_esEs12(@2(yu300, yu301), @2(yu40000, yu40001), ca, cb) → new_asAs(new_esEs23(yu300, yu40000, ca), new_esEs24(yu301, yu40001, cb))
new_esEs9(Left(yu300), Left(yu40000), app(app(ty_@2, dd), de), bg) → new_esEs12(yu300, yu40000, dd, de)
new_esEs4(yu30, yu4000, ty_Char) → new_esEs14(yu30, yu4000)
new_esEs19(yu300, yu40000, app(ty_[], hb)) → new_esEs5(yu300, yu40000, hb)
new_esEs24(yu301, yu40001, app(app(ty_Either, bdh), bea)) → new_esEs9(yu301, yu40001, bdh, bea)
new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) → False
new_esEs22(yu310, yu40010, ty_Ordering) → new_esEs11(yu310, yu40010)
new_esEs9(Right(yu300), Left(yu40000), bf, bg) → False
new_esEs9(Left(yu300), Right(yu40000), bf, bg) → False
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs21(yu302, yu40002, app(ty_Ratio, bcd)) → new_esEs18(yu302, yu40002, bcd)
new_esEs22(yu310, yu40010, ty_Int) → new_esEs16(yu310, yu40010)
new_esEs5(:(yu310, yu311), :(yu40010, yu40011), bd) → new_asAs(new_esEs22(yu310, yu40010, bd), new_esEs5(yu311, yu40011, bd))
new_esEs6(Just(yu300), Just(yu40000), app(ty_Ratio, gf)) → new_esEs18(yu300, yu40000, gf)

The set Q consists of the following terms:

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

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(yu13, yu14, yu15, yu16, yu17, yu18, False, ba, bb) → new_lookup(:(yu13, yu14), yu18, ba, bb)
The graph contains the following edges 6 >= 2, 8 >= 3, 9 >= 4
new_lookup(:(yu30, yu31), :(@2([], yu401), yu41), bc, bd) → new_lookup(:(yu30, yu31), yu41, bc, bd)
The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4
new_lookup(:(yu30, yu31), :(@2(:(yu4000, yu4001), yu401), yu41), bc, bd) → new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs4(yu30, yu4000, bd), new_esEs5(yu31, yu4001, bd)), bc, bd)
The graph contains the following edges 1 > 1, 1 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 8, 4 >= 9

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