H-Termination proof of ../tpdb/FP/full_haskell/List_isSuffixOf

YES H-Termination proof of ../tpdb/FP/full_haskell/List_isSuffixOf_12.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule Main

((List.isSuffixOf :: (Eq a, Eq b) => [(b,a)] -> [(b,a)] -> Bool) :: (Eq a, Eq b) => [(b,a)] -> [(b,a)] -> Bool)

module List where

import qualified Main
import qualified Maybe
import qualified Prelude

isPrefixOf :: Eq a => [a] -> [a] -> Bool

isPrefixOf	[] _	=	True
isPrefixOf	_ []	=	False
isPrefixOf	(x : xs) (y : ys)	=	x == y && isPrefixOf xs ys

isSuffixOf :: Eq a => [a] -> [a] -> Bool

isSuffixOf

x y

reverse x `isPrefixOf` reverse y

module Main where

import qualified List
import qualified Maybe
import qualified Prelude

module Maybe where

import qualified List
import qualified Main
import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

mainModule Main

((List.isSuffixOf :: (Eq b, Eq a) => [(a,b)] -> [(a,b)] -> Bool) :: (Eq a, Eq b) => [(a,b)] -> [(a,b)] -> Bool)

module List where

import qualified Main
import qualified Maybe
import qualified Prelude

isPrefixOf :: Eq a => [a] -> [a] -> Bool

isPrefixOf	[] vw	=	True
isPrefixOf	vx []	=	False
isPrefixOf	(x : xs) (y : ys)	=	x == y && isPrefixOf xs ys

isSuffixOf :: Eq a => [a] -> [a] -> Bool

isSuffixOf

x y

reverse x `isPrefixOf` reverse y

module Main where

import qualified List
import qualified Maybe
import qualified Prelude

module Maybe where

import qualified List
import qualified Main
import qualified Prelude

Num Reduction:All numbers are transformed to thier corresponding representation with Succ, Pred and Zero.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

mainModule Main

(List.isSuffixOf :: (Eq a, Eq b) => [(b,a)] -> [(b,a)] -> Bool)

module List where

import qualified Main
import qualified Maybe
import qualified Prelude

isPrefixOf :: Eq a => [a] -> [a] -> Bool

isPrefixOf	[] vw	=	True
isPrefixOf	vx []	=	False
isPrefixOf	(x : xs) (y : ys)	=	x == y && isPrefixOf xs ys

isSuffixOf :: Eq a => [a] -> [a] -> Bool

isSuffixOf

x y

reverse x `isPrefixOf` reverse y

module Main where

import qualified List
import qualified Maybe
import qualified Prelude

module Maybe where

import qualified List
import qualified Main
import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="List.isSuffixOf\n",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="List.isSuffixOf xy3\n",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="List.isSuffixOf xy3 xy4\n",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="List.isPrefixOf (reverse xy3) (reverse xy4)\n",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="List.isPrefixOf (foldl (flip (:)) [] xy3) (reverse xy4)\n",fontsize=16,color="burlywood",shape="box"];1206[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];6 -> 1206[label="",style="solid", color="burlywood", weight=9];
1206 -> 7[label="",style="solid", color="burlywood", weight=3];
1207[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 1207[label="",style="solid", color="burlywood", weight=9];
1207 -> 8[label="",style="solid", color="burlywood", weight=3];
7[label="List.isPrefixOf (foldl (flip (:)) [] (xy30 : xy31)) (reverse xy4)\n",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="List.isPrefixOf (foldl (flip (:)) [] []) (reverse xy4)\n",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9 -> 283[label="",style="dashed", color="red", weight=0];
9[label="List.isPrefixOf (foldl (flip (:)) (flip (:) [] xy30) xy31) (reverse xy4)\n",fontsize=16,color="magenta"];9 -> 284[label="",style="dashed", color="magenta", weight=3];
9 -> 285[label="",style="dashed", color="magenta", weight=3];
9 -> 286[label="",style="dashed", color="magenta", weight=3];
9 -> 287[label="",style="dashed", color="magenta", weight=3];
10[label="List.isPrefixOf [] (reverse xy4)\n",fontsize=16,color="black",shape="box"];10 -> 13[label="",style="solid", color="black", weight=3];
284[label="xy31\n",fontsize=16,color="green",shape="box"];285[label="xy4\n",fontsize=16,color="green",shape="box"];286[label="xy30\n",fontsize=16,color="green",shape="box"];287[label="[]\n",fontsize=16,color="green",shape="box"];283[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy31 xy32) xy33) (reverse xy34)\n",fontsize=16,color="burlywood",shape="triangle"];1209[label="xy33/xy330 : xy331",fontsize=10,color="white",style="solid",shape="box"];283 -> 1209[label="",style="solid", color="burlywood", weight=9];
1209 -> 320[label="",style="solid", color="burlywood", weight=3];
1210[label="xy33/[]",fontsize=10,color="white",style="solid",shape="box"];283 -> 1210[label="",style="solid", color="burlywood", weight=9];
1210 -> 321[label="",style="solid", color="burlywood", weight=3];
13[label="True\n",fontsize=16,color="green",shape="box"];320[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy31 xy32) (xy330 : xy331)) (reverse xy34)\n",fontsize=16,color="black",shape="box"];320 -> 322[label="",style="solid", color="black", weight=3];
321[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy31 xy32) []) (reverse xy34)\n",fontsize=16,color="black",shape="box"];321 -> 323[label="",style="solid", color="black", weight=3];
322 -> 283[label="",style="dashed", color="red", weight=0];
322[label="List.isPrefixOf (foldl (flip (:)) (flip (:) (flip (:) xy31 xy32) xy330) xy331) (reverse xy34)\n",fontsize=16,color="magenta"];322 -> 324[label="",style="dashed", color="magenta", weight=3];
322 -> 325[label="",style="dashed", color="magenta", weight=3];
322 -> 326[label="",style="dashed", color="magenta", weight=3];
323[label="List.isPrefixOf (flip (:) xy31 xy32) (reverse xy34)\n",fontsize=16,color="black",shape="box"];323 -> 327[label="",style="solid", color="black", weight=3];
324[label="xy331\n",fontsize=16,color="green",shape="box"];325[label="xy330\n",fontsize=16,color="green",shape="box"];326[label="flip (:) xy31 xy32\n",fontsize=16,color="black",shape="triangle"];326 -> 328[label="",style="solid", color="black", weight=3];
327[label="List.isPrefixOf ((:) xy32 xy31) (reverse xy34)\n",fontsize=16,color="black",shape="box"];327 -> 329[label="",style="solid", color="black", weight=3];
328[label="(:) xy32 xy31\n",fontsize=16,color="green",shape="box"];329 -> 334[label="",style="dashed", color="red", weight=0];
329[label="List.isPrefixOf ((:) xy32 xy31) (foldl (flip (:)) [] xy34)\n",fontsize=16,color="magenta"];329 -> 335[label="",style="dashed", color="magenta", weight=3];
329 -> 336[label="",style="dashed", color="magenta", weight=3];
335[label="xy34\n",fontsize=16,color="green",shape="box"];336[label="[]\n",fontsize=16,color="green",shape="box"];334[label="List.isPrefixOf ((:) xy32 xy31) (foldl (flip (:)) xy35 xy341)\n",fontsize=16,color="burlywood",shape="triangle"];1213[label="xy341/xy3410 : xy3411",fontsize=10,color="white",style="solid",shape="box"];334 -> 1213[label="",style="solid", color="burlywood", weight=9];
1213 -> 338[label="",style="solid", color="burlywood", weight=3];
1214[label="xy341/[]",fontsize=10,color="white",style="solid",shape="box"];334 -> 1214[label="",style="solid", color="burlywood", weight=9];
1214 -> 339[label="",style="solid", color="burlywood", weight=3];
338[label="List.isPrefixOf ((:) xy32 xy31) (foldl (flip (:)) xy35 (xy3410 : xy3411))\n",fontsize=16,color="black",shape="box"];338 -> 340[label="",style="solid", color="black", weight=3];
339[label="List.isPrefixOf ((:) xy32 xy31) (foldl (flip (:)) xy35 [])\n",fontsize=16,color="black",shape="box"];339 -> 341[label="",style="solid", color="black", weight=3];
340 -> 334[label="",style="dashed", color="red", weight=0];
340[label="List.isPrefixOf ((:) xy32 xy31) (foldl (flip (:)) (flip (:) xy35 xy3410) xy3411)\n",fontsize=16,color="magenta"];340 -> 342[label="",style="dashed", color="magenta", weight=3];
340 -> 343[label="",style="dashed", color="magenta", weight=3];
341[label="List.isPrefixOf ((:) xy32 xy31) xy35\n",fontsize=16,color="burlywood",shape="box"];1216[label="xy35/xy350 : xy351",fontsize=10,color="white",style="solid",shape="box"];341 -> 1216[label="",style="solid", color="burlywood", weight=9];
1216 -> 344[label="",style="solid", color="burlywood", weight=3];
1217[label="xy35/[]",fontsize=10,color="white",style="solid",shape="box"];341 -> 1217[label="",style="solid", color="burlywood", weight=9];
1217 -> 345[label="",style="solid", color="burlywood", weight=3];
342[label="xy3411\n",fontsize=16,color="green",shape="box"];343 -> 326[label="",style="dashed", color="red", weight=0];
343[label="flip (:) xy35 xy3410\n",fontsize=16,color="magenta"];343 -> 346[label="",style="dashed", color="magenta", weight=3];
343 -> 347[label="",style="dashed", color="magenta", weight=3];
344[label="List.isPrefixOf ((:) xy32 xy31) (xy350 : xy351)\n",fontsize=16,color="black",shape="box"];344 -> 348[label="",style="solid", color="black", weight=3];
345[label="List.isPrefixOf ((:) xy32 xy31) []\n",fontsize=16,color="black",shape="box"];345 -> 349[label="",style="solid", color="black", weight=3];
346[label="xy3410\n",fontsize=16,color="green",shape="box"];347[label="xy35\n",fontsize=16,color="green",shape="box"];348 -> 520[label="",style="dashed", color="red", weight=0];
348[label="xy32 == xy350 && List.isPrefixOf xy31 xy351\n",fontsize=16,color="magenta"];348 -> 521[label="",style="dashed", color="magenta", weight=3];
348 -> 522[label="",style="dashed", color="magenta", weight=3];
349[label="False\n",fontsize=16,color="green",shape="box"];521[label="List.isPrefixOf xy31 xy351\n",fontsize=16,color="burlywood",shape="triangle"];1220[label="xy31/xy310 : xy311",fontsize=10,color="white",style="solid",shape="box"];521 -> 1220[label="",style="solid", color="burlywood", weight=9];
1220 -> 525[label="",style="solid", color="burlywood", weight=3];
1221[label="xy31/[]",fontsize=10,color="white",style="solid",shape="box"];521 -> 1221[label="",style="solid", color="burlywood", weight=9];
1221 -> 526[label="",style="solid", color="burlywood", weight=3];
522[label="xy32 == xy350\n",fontsize=16,color="blue",shape="box"];1222[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1222[label="",style="solid", color="blue", weight=9];
1222 -> 527[label="",style="solid", color="blue", weight=3];
1223[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1223[label="",style="solid", color="blue", weight=9];
1223 -> 528[label="",style="solid", color="blue", weight=3];
1224[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1224[label="",style="solid", color="blue", weight=9];
1224 -> 529[label="",style="solid", color="blue", weight=3];
1225[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1225[label="",style="solid", color="blue", weight=9];
1225 -> 530[label="",style="solid", color="blue", weight=3];
1226[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1226[label="",style="solid", color="blue", weight=9];
1226 -> 531[label="",style="solid", color="blue", weight=3];
1227[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1227[label="",style="solid", color="blue", weight=9];
1227 -> 532[label="",style="solid", color="blue", weight=3];
1228[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1228[label="",style="solid", color="blue", weight=9];
1228 -> 533[label="",style="solid", color="blue", weight=3];
1229[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1229[label="",style="solid", color="blue", weight=9];
1229 -> 534[label="",style="solid", color="blue", weight=3];
1230[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1230[label="",style="solid", color="blue", weight=9];
1230 -> 535[label="",style="solid", color="blue", weight=3];
1231[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1231[label="",style="solid", color="blue", weight=9];
1231 -> 536[label="",style="solid", color="blue", weight=3];
1232[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1232[label="",style="solid", color="blue", weight=9];
1232 -> 537[label="",style="solid", color="blue", weight=3];
1233[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1233[label="",style="solid", color="blue", weight=9];
1233 -> 538[label="",style="solid", color="blue", weight=3];
1234[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1234[label="",style="solid", color="blue", weight=9];
1234 -> 539[label="",style="solid", color="blue", weight=3];
1235[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];522 -> 1235[label="",style="solid", color="blue", weight=9];
1235 -> 540[label="",style="solid", color="blue", weight=3];
520[label="xy54 && xy55\n",fontsize=16,color="burlywood",shape="triangle"];1236[label="xy54/False",fontsize=10,color="white",style="solid",shape="box"];520 -> 1236[label="",style="solid", color="burlywood", weight=9];
1236 -> 541[label="",style="solid", color="burlywood", weight=3];
1237[label="xy54/True",fontsize=10,color="white",style="solid",shape="box"];520 -> 1237[label="",style="solid", color="burlywood", weight=9];
1237 -> 542[label="",style="solid", color="burlywood", weight=3];
525[label="List.isPrefixOf (xy310 : xy311) xy351\n",fontsize=16,color="burlywood",shape="box"];1238[label="xy351/xy3510 : xy3511",fontsize=10,color="white",style="solid",shape="box"];525 -> 1238[label="",style="solid", color="burlywood", weight=9];
1238 -> 543[label="",style="solid", color="burlywood", weight=3];
1239[label="xy351/[]",fontsize=10,color="white",style="solid",shape="box"];525 -> 1239[label="",style="solid", color="burlywood", weight=9];
1239 -> 544[label="",style="solid", color="burlywood", weight=3];
526[label="List.isPrefixOf [] xy351\n",fontsize=16,color="black",shape="box"];526 -> 545[label="",style="solid", color="black", weight=3];
527[label="xy32 == xy350\n",fontsize=16,color="black",shape="triangle"];527 -> 546[label="",style="solid", color="black", weight=3];
528[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1240[label="xy32/LT",fontsize=10,color="white",style="solid",shape="box"];528 -> 1240[label="",style="solid", color="burlywood", weight=9];
1240 -> 547[label="",style="solid", color="burlywood", weight=3];
1241[label="xy32/EQ",fontsize=10,color="white",style="solid",shape="box"];528 -> 1241[label="",style="solid", color="burlywood", weight=9];
1241 -> 548[label="",style="solid", color="burlywood", weight=3];
1242[label="xy32/GT",fontsize=10,color="white",style="solid",shape="box"];528 -> 1242[label="",style="solid", color="burlywood", weight=9];
1242 -> 549[label="",style="solid", color="burlywood", weight=3];
529[label="xy32 == xy350\n",fontsize=16,color="black",shape="triangle"];529 -> 550[label="",style="solid", color="black", weight=3];
530[label="xy32 == xy350\n",fontsize=16,color="black",shape="triangle"];530 -> 551[label="",style="solid", color="black", weight=3];
531[label="xy32 == xy350\n",fontsize=16,color="black",shape="triangle"];531 -> 552[label="",style="solid", color="black", weight=3];
532[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1243[label="xy32/xy320 :% xy321",fontsize=10,color="white",style="solid",shape="box"];532 -> 1243[label="",style="solid", color="burlywood", weight=9];
1243 -> 553[label="",style="solid", color="burlywood", weight=3];
533[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1244[label="xy32/False",fontsize=10,color="white",style="solid",shape="box"];533 -> 1244[label="",style="solid", color="burlywood", weight=9];
1244 -> 554[label="",style="solid", color="burlywood", weight=3];
1245[label="xy32/True",fontsize=10,color="white",style="solid",shape="box"];533 -> 1245[label="",style="solid", color="burlywood", weight=9];
1245 -> 555[label="",style="solid", color="burlywood", weight=3];
534[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1246[label="xy32/()",fontsize=10,color="white",style="solid",shape="box"];534 -> 1246[label="",style="solid", color="burlywood", weight=9];
1246 -> 556[label="",style="solid", color="burlywood", weight=3];
535[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1247[label="xy32/(xy320,xy321)",fontsize=10,color="white",style="solid",shape="box"];535 -> 1247[label="",style="solid", color="burlywood", weight=9];
1247 -> 557[label="",style="solid", color="burlywood", weight=3];
536[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1248[label="xy32/Nothing",fontsize=10,color="white",style="solid",shape="box"];536 -> 1248[label="",style="solid", color="burlywood", weight=9];
1248 -> 558[label="",style="solid", color="burlywood", weight=3];
1249[label="xy32/Just xy320",fontsize=10,color="white",style="solid",shape="box"];536 -> 1249[label="",style="solid", color="burlywood", weight=9];
1249 -> 559[label="",style="solid", color="burlywood", weight=3];
537[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1250[label="xy32/(xy320,xy321,xy322)",fontsize=10,color="white",style="solid",shape="box"];537 -> 1250[label="",style="solid", color="burlywood", weight=9];
1250 -> 560[label="",style="solid", color="burlywood", weight=3];
538[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1251[label="xy32/Integer xy320",fontsize=10,color="white",style="solid",shape="box"];538 -> 1251[label="",style="solid", color="burlywood", weight=9];
1251 -> 561[label="",style="solid", color="burlywood", weight=3];
539[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1252[label="xy32/xy320 : xy321",fontsize=10,color="white",style="solid",shape="box"];539 -> 1252[label="",style="solid", color="burlywood", weight=9];
1252 -> 562[label="",style="solid", color="burlywood", weight=3];
1253[label="xy32/[]",fontsize=10,color="white",style="solid",shape="box"];539 -> 1253[label="",style="solid", color="burlywood", weight=9];
1253 -> 563[label="",style="solid", color="burlywood", weight=3];
540[label="xy32 == xy350\n",fontsize=16,color="burlywood",shape="triangle"];1254[label="xy32/Left xy320",fontsize=10,color="white",style="solid",shape="box"];540 -> 1254[label="",style="solid", color="burlywood", weight=9];
1254 -> 564[label="",style="solid", color="burlywood", weight=3];
1255[label="xy32/Right xy320",fontsize=10,color="white",style="solid",shape="box"];540 -> 1255[label="",style="solid", color="burlywood", weight=9];
1255 -> 565[label="",style="solid", color="burlywood", weight=3];
541[label="False && xy55\n",fontsize=16,color="black",shape="box"];541 -> 566[label="",style="solid", color="black", weight=3];
542[label="True && xy55\n",fontsize=16,color="black",shape="box"];542 -> 567[label="",style="solid", color="black", weight=3];
543[label="List.isPrefixOf (xy310 : xy311) (xy3510 : xy3511)\n",fontsize=16,color="black",shape="box"];543 -> 568[label="",style="solid", color="black", weight=3];
544[label="List.isPrefixOf (xy310 : xy311) []\n",fontsize=16,color="black",shape="box"];544 -> 569[label="",style="solid", color="black", weight=3];
545[label="True\n",fontsize=16,color="green",shape="box"];546[label="primEqDouble xy32 xy350\n",fontsize=16,color="burlywood",shape="box"];1256[label="xy32/Double xy320 xy321",fontsize=10,color="white",style="solid",shape="box"];546 -> 1256[label="",style="solid", color="burlywood", weight=9];
1256 -> 570[label="",style="solid", color="burlywood", weight=3];
547[label="LT == xy350\n",fontsize=16,color="burlywood",shape="box"];1257[label="xy350/LT",fontsize=10,color="white",style="solid",shape="box"];547 -> 1257[label="",style="solid", color="burlywood", weight=9];
1257 -> 571[label="",style="solid", color="burlywood", weight=3];
1258[label="xy350/EQ",fontsize=10,color="white",style="solid",shape="box"];547 -> 1258[label="",style="solid", color="burlywood", weight=9];
1258 -> 572[label="",style="solid", color="burlywood", weight=3];
1259[label="xy350/GT",fontsize=10,color="white",style="solid",shape="box"];547 -> 1259[label="",style="solid", color="burlywood", weight=9];
1259 -> 573[label="",style="solid", color="burlywood", weight=3];
548[label="EQ == xy350\n",fontsize=16,color="burlywood",shape="box"];1260[label="xy350/LT",fontsize=10,color="white",style="solid",shape="box"];548 -> 1260[label="",style="solid", color="burlywood", weight=9];
1260 -> 574[label="",style="solid", color="burlywood", weight=3];
1261[label="xy350/EQ",fontsize=10,color="white",style="solid",shape="box"];548 -> 1261[label="",style="solid", color="burlywood", weight=9];
1261 -> 575[label="",style="solid", color="burlywood", weight=3];
1262[label="xy350/GT",fontsize=10,color="white",style="solid",shape="box"];548 -> 1262[label="",style="solid", color="burlywood", weight=9];
1262 -> 576[label="",style="solid", color="burlywood", weight=3];
549[label="GT == xy350\n",fontsize=16,color="burlywood",shape="box"];1263[label="xy350/LT",fontsize=10,color="white",style="solid",shape="box"];549 -> 1263[label="",style="solid", color="burlywood", weight=9];
1263 -> 577[label="",style="solid", color="burlywood", weight=3];
1264[label="xy350/EQ",fontsize=10,color="white",style="solid",shape="box"];549 -> 1264[label="",style="solid", color="burlywood", weight=9];
1264 -> 578[label="",style="solid", color="burlywood", weight=3];
1265[label="xy350/GT",fontsize=10,color="white",style="solid",shape="box"];549 -> 1265[label="",style="solid", color="burlywood", weight=9];
1265 -> 579[label="",style="solid", color="burlywood", weight=3];
550[label="primEqFloat xy32 xy350\n",fontsize=16,color="burlywood",shape="box"];1266[label="xy32/Float xy320 xy321",fontsize=10,color="white",style="solid",shape="box"];550 -> 1266[label="",style="solid", color="burlywood", weight=9];
1266 -> 580[label="",style="solid", color="burlywood", weight=3];
551[label="primEqInt xy32 xy350\n",fontsize=16,color="burlywood",shape="triangle"];1267[label="xy32/Pos xy320",fontsize=10,color="white",style="solid",shape="box"];551 -> 1267[label="",style="solid", color="burlywood", weight=9];
1267 -> 581[label="",style="solid", color="burlywood", weight=3];
1268[label="xy32/Neg xy320",fontsize=10,color="white",style="solid",shape="box"];551 -> 1268[label="",style="solid", color="burlywood", weight=9];
1268 -> 582[label="",style="solid", color="burlywood", weight=3];
552[label="primEqChar xy32 xy350\n",fontsize=16,color="burlywood",shape="box"];1269[label="xy32/Char xy320",fontsize=10,color="white",style="solid",shape="box"];552 -> 1269[label="",style="solid", color="burlywood", weight=9];
1269 -> 583[label="",style="solid", color="burlywood", weight=3];
553[label="xy320 :% xy321 == xy350\n",fontsize=16,color="burlywood",shape="box"];1270[label="xy350/xy3500 :% xy3501",fontsize=10,color="white",style="solid",shape="box"];553 -> 1270[label="",style="solid", color="burlywood", weight=9];
1270 -> 584[label="",style="solid", color="burlywood", weight=3];
554[label="False == xy350\n",fontsize=16,color="burlywood",shape="box"];1271[label="xy350/False",fontsize=10,color="white",style="solid",shape="box"];554 -> 1271[label="",style="solid", color="burlywood", weight=9];
1271 -> 585[label="",style="solid", color="burlywood", weight=3];
1272[label="xy350/True",fontsize=10,color="white",style="solid",shape="box"];554 -> 1272[label="",style="solid", color="burlywood", weight=9];
1272 -> 586[label="",style="solid", color="burlywood", weight=3];
555[label="True == xy350\n",fontsize=16,color="burlywood",shape="box"];1273[label="xy350/False",fontsize=10,color="white",style="solid",shape="box"];555 -> 1273[label="",style="solid", color="burlywood", weight=9];
1273 -> 587[label="",style="solid", color="burlywood", weight=3];
1274[label="xy350/True",fontsize=10,color="white",style="solid",shape="box"];555 -> 1274[label="",style="solid", color="burlywood", weight=9];
1274 -> 588[label="",style="solid", color="burlywood", weight=3];
556[label="() == xy350\n",fontsize=16,color="burlywood",shape="box"];1275[label="xy350/()",fontsize=10,color="white",style="solid",shape="box"];556 -> 1275[label="",style="solid", color="burlywood", weight=9];
1275 -> 589[label="",style="solid", color="burlywood", weight=3];
557[label="(xy320,xy321) == xy350\n",fontsize=16,color="burlywood",shape="box"];1276[label="xy350/(xy3500,xy3501)",fontsize=10,color="white",style="solid",shape="box"];557 -> 1276[label="",style="solid", color="burlywood", weight=9];
1276 -> 590[label="",style="solid", color="burlywood", weight=3];
558[label="Nothing == xy350\n",fontsize=16,color="burlywood",shape="box"];1277[label="xy350/Nothing",fontsize=10,color="white",style="solid",shape="box"];558 -> 1277[label="",style="solid", color="burlywood", weight=9];
1277 -> 591[label="",style="solid", color="burlywood", weight=3];
1278[label="xy350/Just xy3500",fontsize=10,color="white",style="solid",shape="box"];558 -> 1278[label="",style="solid", color="burlywood", weight=9];
1278 -> 592[label="",style="solid", color="burlywood", weight=3];
559[label="Just xy320 == xy350\n",fontsize=16,color="burlywood",shape="box"];1279[label="xy350/Nothing",fontsize=10,color="white",style="solid",shape="box"];559 -> 1279[label="",style="solid", color="burlywood", weight=9];
1279 -> 593[label="",style="solid", color="burlywood", weight=3];
1280[label="xy350/Just xy3500",fontsize=10,color="white",style="solid",shape="box"];559 -> 1280[label="",style="solid", color="burlywood", weight=9];
1280 -> 594[label="",style="solid", color="burlywood", weight=3];
560[label="(xy320,xy321,xy322) == xy350\n",fontsize=16,color="burlywood",shape="box"];1281[label="xy350/(xy3500,xy3501,xy3502)",fontsize=10,color="white",style="solid",shape="box"];560 -> 1281[label="",style="solid", color="burlywood", weight=9];
1281 -> 595[label="",style="solid", color="burlywood", weight=3];
561[label="Integer xy320 == xy350\n",fontsize=16,color="burlywood",shape="box"];1282[label="xy350/Integer xy3500",fontsize=10,color="white",style="solid",shape="box"];561 -> 1282[label="",style="solid", color="burlywood", weight=9];
1282 -> 596[label="",style="solid", color="burlywood", weight=3];
562[label="xy320 : xy321 == xy350\n",fontsize=16,color="burlywood",shape="box"];1283[label="xy350/xy3500 : xy3501",fontsize=10,color="white",style="solid",shape="box"];562 -> 1283[label="",style="solid", color="burlywood", weight=9];
1283 -> 597[label="",style="solid", color="burlywood", weight=3];
1284[label="xy350/[]",fontsize=10,color="white",style="solid",shape="box"];562 -> 1284[label="",style="solid", color="burlywood", weight=9];
1284 -> 598[label="",style="solid", color="burlywood", weight=3];
563[label="[] == xy350\n",fontsize=16,color="burlywood",shape="box"];1285[label="xy350/xy3500 : xy3501",fontsize=10,color="white",style="solid",shape="box"];563 -> 1285[label="",style="solid", color="burlywood", weight=9];
1285 -> 599[label="",style="solid", color="burlywood", weight=3];
1286[label="xy350/[]",fontsize=10,color="white",style="solid",shape="box"];563 -> 1286[label="",style="solid", color="burlywood", weight=9];
1286 -> 600[label="",style="solid", color="burlywood", weight=3];
564[label="Left xy320 == xy350\n",fontsize=16,color="burlywood",shape="box"];1287[label="xy350/Left xy3500",fontsize=10,color="white",style="solid",shape="box"];564 -> 1287[label="",style="solid", color="burlywood", weight=9];
1287 -> 601[label="",style="solid", color="burlywood", weight=3];
1288[label="xy350/Right xy3500",fontsize=10,color="white",style="solid",shape="box"];564 -> 1288[label="",style="solid", color="burlywood", weight=9];
1288 -> 602[label="",style="solid", color="burlywood", weight=3];
565[label="Right xy320 == xy350\n",fontsize=16,color="burlywood",shape="box"];1289[label="xy350/Left xy3500",fontsize=10,color="white",style="solid",shape="box"];565 -> 1289[label="",style="solid", color="burlywood", weight=9];
1289 -> 603[label="",style="solid", color="burlywood", weight=3];
1290[label="xy350/Right xy3500",fontsize=10,color="white",style="solid",shape="box"];565 -> 1290[label="",style="solid", color="burlywood", weight=9];
1290 -> 604[label="",style="solid", color="burlywood", weight=3];
566[label="False\n",fontsize=16,color="green",shape="box"];567[label="xy55\n",fontsize=16,color="green",shape="box"];568 -> 520[label="",style="dashed", color="red", weight=0];
568[label="xy310 == xy3510 && List.isPrefixOf xy311 xy3511\n",fontsize=16,color="magenta"];568 -> 605[label="",style="dashed", color="magenta", weight=3];
568 -> 606[label="",style="dashed", color="magenta", weight=3];
569[label="False\n",fontsize=16,color="green",shape="box"];570[label="primEqDouble (Double xy320 xy321) xy350\n",fontsize=16,color="burlywood",shape="box"];1292[label="xy350/Double xy3500 xy3501",fontsize=10,color="white",style="solid",shape="box"];570 -> 1292[label="",style="solid", color="burlywood", weight=9];
1292 -> 607[label="",style="solid", color="burlywood", weight=3];
571[label="LT == LT\n",fontsize=16,color="black",shape="box"];571 -> 608[label="",style="solid", color="black", weight=3];
572[label="LT == EQ\n",fontsize=16,color="black",shape="box"];572 -> 609[label="",style="solid", color="black", weight=3];
573[label="LT == GT\n",fontsize=16,color="black",shape="box"];573 -> 610[label="",style="solid", color="black", weight=3];
574[label="EQ == LT\n",fontsize=16,color="black",shape="box"];574 -> 611[label="",style="solid", color="black", weight=3];
575[label="EQ == EQ\n",fontsize=16,color="black",shape="box"];575 -> 612[label="",style="solid", color="black", weight=3];
576[label="EQ == GT\n",fontsize=16,color="black",shape="box"];576 -> 613[label="",style="solid", color="black", weight=3];
577[label="GT == LT\n",fontsize=16,color="black",shape="box"];577 -> 614[label="",style="solid", color="black", weight=3];
578[label="GT == EQ\n",fontsize=16,color="black",shape="box"];578 -> 615[label="",style="solid", color="black", weight=3];
579[label="GT == GT\n",fontsize=16,color="black",shape="box"];579 -> 616[label="",style="solid", color="black", weight=3];
580[label="primEqFloat (Float xy320 xy321) xy350\n",fontsize=16,color="burlywood",shape="box"];1293[label="xy350/Float xy3500 xy3501",fontsize=10,color="white",style="solid",shape="box"];580 -> 1293[label="",style="solid", color="burlywood", weight=9];
1293 -> 617[label="",style="solid", color="burlywood", weight=3];
581[label="primEqInt (Pos xy320) xy350\n",fontsize=16,color="burlywood",shape="box"];1294[label="xy320/Succ xy3200",fontsize=10,color="white",style="solid",shape="box"];581 -> 1294[label="",style="solid", color="burlywood", weight=9];
1294 -> 618[label="",style="solid", color="burlywood", weight=3];
1295[label="xy320/Zero",fontsize=10,color="white",style="solid",shape="box"];581 -> 1295[label="",style="solid", color="burlywood", weight=9];
1295 -> 619[label="",style="solid", color="burlywood", weight=3];
582[label="primEqInt (Neg xy320) xy350\n",fontsize=16,color="burlywood",shape="box"];1296[label="xy320/Succ xy3200",fontsize=10,color="white",style="solid",shape="box"];582 -> 1296[label="",style="solid", color="burlywood", weight=9];
1296 -> 620[label="",style="solid", color="burlywood", weight=3];
1297[label="xy320/Zero",fontsize=10,color="white",style="solid",shape="box"];582 -> 1297[label="",style="solid", color="burlywood", weight=9];
1297 -> 621[label="",style="solid", color="burlywood", weight=3];
583[label="primEqChar (Char xy320) xy350\n",fontsize=16,color="burlywood",shape="box"];1298[label="xy350/Char xy3500",fontsize=10,color="white",style="solid",shape="box"];583 -> 1298[label="",style="solid", color="burlywood", weight=9];
1298 -> 622[label="",style="solid", color="burlywood", weight=3];
584[label="xy320 :% xy321 == xy3500 :% xy3501\n",fontsize=16,color="black",shape="box"];584 -> 623[label="",style="solid", color="black", weight=3];
585[label="False == False\n",fontsize=16,color="black",shape="box"];585 -> 624[label="",style="solid", color="black", weight=3];
586[label="False == True\n",fontsize=16,color="black",shape="box"];586 -> 625[label="",style="solid", color="black", weight=3];
587[label="True == False\n",fontsize=16,color="black",shape="box"];587 -> 626[label="",style="solid", color="black", weight=3];
588[label="True == True\n",fontsize=16,color="black",shape="box"];588 -> 627[label="",style="solid", color="black", weight=3];
589[label="() == ()\n",fontsize=16,color="black",shape="box"];589 -> 628[label="",style="solid", color="black", weight=3];
590[label="(xy320,xy321) == (xy3500,xy3501)\n",fontsize=16,color="black",shape="box"];590 -> 629[label="",style="solid", color="black", weight=3];
591[label="Nothing == Nothing\n",fontsize=16,color="black",shape="box"];591 -> 630[label="",style="solid", color="black", weight=3];
592[label="Nothing == Just xy3500\n",fontsize=16,color="black",shape="box"];592 -> 631[label="",style="solid", color="black", weight=3];
593[label="Just xy320 == Nothing\n",fontsize=16,color="black",shape="box"];593 -> 632[label="",style="solid", color="black", weight=3];
594[label="Just xy320 == Just xy3500\n",fontsize=16,color="black",shape="box"];594 -> 633[label="",style="solid", color="black", weight=3];
595[label="(xy320,xy321,xy322) == (xy3500,xy3501,xy3502)\n",fontsize=16,color="black",shape="box"];595 -> 634[label="",style="solid", color="black", weight=3];
596[label="Integer xy320 == Integer xy3500\n",fontsize=16,color="black",shape="box"];596 -> 635[label="",style="solid", color="black", weight=3];
597[label="xy320 : xy321 == xy3500 : xy3501\n",fontsize=16,color="black",shape="box"];597 -> 636[label="",style="solid", color="black", weight=3];
598[label="xy320 : xy321 == []\n",fontsize=16,color="black",shape="box"];598 -> 637[label="",style="solid", color="black", weight=3];
599[label="[] == xy3500 : xy3501\n",fontsize=16,color="black",shape="box"];599 -> 638[label="",style="solid", color="black", weight=3];
600[label="[] == []\n",fontsize=16,color="black",shape="box"];600 -> 639[label="",style="solid", color="black", weight=3];
601[label="Left xy320 == Left xy3500\n",fontsize=16,color="black",shape="box"];601 -> 640[label="",style="solid", color="black", weight=3];
602[label="Left xy320 == Right xy3500\n",fontsize=16,color="black",shape="box"];602 -> 641[label="",style="solid", color="black", weight=3];
603[label="Right xy320 == Left xy3500\n",fontsize=16,color="black",shape="box"];603 -> 642[label="",style="solid", color="black", weight=3];
604[label="Right xy320 == Right xy3500\n",fontsize=16,color="black",shape="box"];604 -> 643[label="",style="solid", color="black", weight=3];
605 -> 521[label="",style="dashed", color="red", weight=0];
605[label="List.isPrefixOf xy311 xy3511\n",fontsize=16,color="magenta"];605 -> 644[label="",style="dashed", color="magenta", weight=3];
605 -> 645[label="",style="dashed", color="magenta", weight=3];
606[label="xy310 == xy3510\n",fontsize=16,color="blue",shape="box"];1300[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1300[label="",style="solid", color="blue", weight=9];
1300 -> 646[label="",style="solid", color="blue", weight=3];
1301[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1301[label="",style="solid", color="blue", weight=9];
1301 -> 647[label="",style="solid", color="blue", weight=3];
1302[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1302[label="",style="solid", color="blue", weight=9];
1302 -> 648[label="",style="solid", color="blue", weight=3];
1303[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1303[label="",style="solid", color="blue", weight=9];
1303 -> 649[label="",style="solid", color="blue", weight=3];
1304[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1304[label="",style="solid", color="blue", weight=9];
1304 -> 650[label="",style="solid", color="blue", weight=3];
1305[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1305[label="",style="solid", color="blue", weight=9];
1305 -> 651[label="",style="solid", color="blue", weight=3];
1306[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1306[label="",style="solid", color="blue", weight=9];
1306 -> 652[label="",style="solid", color="blue", weight=3];
1307[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1307[label="",style="solid", color="blue", weight=9];
1307 -> 653[label="",style="solid", color="blue", weight=3];
1308[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1308[label="",style="solid", color="blue", weight=9];
1308 -> 654[label="",style="solid", color="blue", weight=3];
1309[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1309[label="",style="solid", color="blue", weight=9];
1309 -> 655[label="",style="solid", color="blue", weight=3];
1310[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1310[label="",style="solid", color="blue", weight=9];
1310 -> 656[label="",style="solid", color="blue", weight=3];
1311[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1311[label="",style="solid", color="blue", weight=9];
1311 -> 657[label="",style="solid", color="blue", weight=3];
1312[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1312[label="",style="solid", color="blue", weight=9];
1312 -> 658[label="",style="solid", color="blue", weight=3];
1313[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];606 -> 1313[label="",style="solid", color="blue", weight=9];
1313 -> 659[label="",style="solid", color="blue", weight=3];
607[label="primEqDouble (Double xy320 xy321) (Double xy3500 xy3501)\n",fontsize=16,color="black",shape="box"];607 -> 660[label="",style="solid", color="black", weight=3];
608[label="True\n",fontsize=16,color="green",shape="box"];609[label="False\n",fontsize=16,color="green",shape="box"];610[label="False\n",fontsize=16,color="green",shape="box"];611[label="False\n",fontsize=16,color="green",shape="box"];612[label="True\n",fontsize=16,color="green",shape="box"];613[label="False\n",fontsize=16,color="green",shape="box"];614[label="False\n",fontsize=16,color="green",shape="box"];615[label="False\n",fontsize=16,color="green",shape="box"];616[label="True\n",fontsize=16,color="green",shape="box"];617[label="primEqFloat (Float xy320 xy321) (Float xy3500 xy3501)\n",fontsize=16,color="black",shape="box"];617 -> 661[label="",style="solid", color="black", weight=3];
618[label="primEqInt (Pos (Succ xy3200)) xy350\n",fontsize=16,color="burlywood",shape="box"];1314[label="xy350/Pos xy3500",fontsize=10,color="white",style="solid",shape="box"];618 -> 1314[label="",style="solid", color="burlywood", weight=9];
1314 -> 662[label="",style="solid", color="burlywood", weight=3];
1315[label="xy350/Neg xy3500",fontsize=10,color="white",style="solid",shape="box"];618 -> 1315[label="",style="solid", color="burlywood", weight=9];
1315 -> 663[label="",style="solid", color="burlywood", weight=3];
619[label="primEqInt (Pos Zero) xy350\n",fontsize=16,color="burlywood",shape="box"];1316[label="xy350/Pos xy3500",fontsize=10,color="white",style="solid",shape="box"];619 -> 1316[label="",style="solid", color="burlywood", weight=9];
1316 -> 664[label="",style="solid", color="burlywood", weight=3];
1317[label="xy350/Neg xy3500",fontsize=10,color="white",style="solid",shape="box"];619 -> 1317[label="",style="solid", color="burlywood", weight=9];
1317 -> 665[label="",style="solid", color="burlywood", weight=3];
620[label="primEqInt (Neg (Succ xy3200)) xy350\n",fontsize=16,color="burlywood",shape="box"];1318[label="xy350/Pos xy3500",fontsize=10,color="white",style="solid",shape="box"];620 -> 1318[label="",style="solid", color="burlywood", weight=9];
1318 -> 666[label="",style="solid", color="burlywood", weight=3];
1319[label="xy350/Neg xy3500",fontsize=10,color="white",style="solid",shape="box"];620 -> 1319[label="",style="solid", color="burlywood", weight=9];
1319 -> 667[label="",style="solid", color="burlywood", weight=3];
621[label="primEqInt (Neg Zero) xy350\n",fontsize=16,color="burlywood",shape="box"];1320[label="xy350/Pos xy3500",fontsize=10,color="white",style="solid",shape="box"];621 -> 1320[label="",style="solid", color="burlywood", weight=9];
1320 -> 668[label="",style="solid", color="burlywood", weight=3];
1321[label="xy350/Neg xy3500",fontsize=10,color="white",style="solid",shape="box"];621 -> 1321[label="",style="solid", color="burlywood", weight=9];
1321 -> 669[label="",style="solid", color="burlywood", weight=3];
622[label="primEqChar (Char xy320) (Char xy3500)\n",fontsize=16,color="black",shape="box"];622 -> 670[label="",style="solid", color="black", weight=3];
623 -> 520[label="",style="dashed", color="red", weight=0];
623[label="xy320 == xy3500 && xy321 == xy3501\n",fontsize=16,color="magenta"];623 -> 671[label="",style="dashed", color="magenta", weight=3];
623 -> 672[label="",style="dashed", color="magenta", weight=3];
624[label="True\n",fontsize=16,color="green",shape="box"];625[label="False\n",fontsize=16,color="green",shape="box"];626[label="False\n",fontsize=16,color="green",shape="box"];627[label="True\n",fontsize=16,color="green",shape="box"];628[label="True\n",fontsize=16,color="green",shape="box"];629 -> 520[label="",style="dashed", color="red", weight=0];
629[label="xy320 == xy3500 && xy321 == xy3501\n",fontsize=16,color="magenta"];629 -> 673[label="",style="dashed", color="magenta", weight=3];
629 -> 674[label="",style="dashed", color="magenta", weight=3];
630[label="True\n",fontsize=16,color="green",shape="box"];631[label="False\n",fontsize=16,color="green",shape="box"];632[label="False\n",fontsize=16,color="green",shape="box"];633[label="xy320 == xy3500\n",fontsize=16,color="blue",shape="box"];1324[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1324[label="",style="solid", color="blue", weight=9];
1324 -> 675[label="",style="solid", color="blue", weight=3];
1325[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1325[label="",style="solid", color="blue", weight=9];
1325 -> 676[label="",style="solid", color="blue", weight=3];
1326[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1326[label="",style="solid", color="blue", weight=9];
1326 -> 677[label="",style="solid", color="blue", weight=3];
1327[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1327[label="",style="solid", color="blue", weight=9];
1327 -> 678[label="",style="solid", color="blue", weight=3];
1328[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1328[label="",style="solid", color="blue", weight=9];
1328 -> 679[label="",style="solid", color="blue", weight=3];
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1334[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1334[label="",style="solid", color="blue", weight=9];
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1335[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1335[label="",style="solid", color="blue", weight=9];
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1343[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1343[label="",style="solid", color="blue", weight=9];
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1344[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1344[label="",style="solid", color="blue", weight=9];
1344 -> 698[label="",style="solid", color="blue", weight=3];
1345[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1345[label="",style="solid", color="blue", weight=9];
1345 -> 699[label="",style="solid", color="blue", weight=3];
1346[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1346[label="",style="solid", color="blue", weight=9];
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1347[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1347[label="",style="solid", color="blue", weight=9];
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1348[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1348[label="",style="solid", color="blue", weight=9];
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1349[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1349[label="",style="solid", color="blue", weight=9];
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1350[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1350[label="",style="solid", color="blue", weight=9];
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1351[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1351[label="",style="solid", color="blue", weight=9];
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1352[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1352[label="",style="solid", color="blue", weight=9];
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1353[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1353[label="",style="solid", color="blue", weight=9];
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1354[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];640 -> 1354[label="",style="solid", color="blue", weight=9];
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1357[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];643 -> 1357[label="",style="solid", color="blue", weight=9];
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1358[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];643 -> 1358[label="",style="solid", color="blue", weight=9];
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1359[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];643 -> 1359[label="",style="solid", color="blue", weight=9];
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1360[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];643 -> 1360[label="",style="solid", color="blue", weight=9];
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1361[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];643 -> 1361[label="",style="solid", color="blue", weight=9];
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1365[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];643 -> 1365[label="",style="solid", color="blue", weight=9];
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1366[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];643 -> 1366[label="",style="solid", color="blue", weight=9];
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1405[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];673 -> 1405[label="",style="solid", color="blue", weight=9];
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1413[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];673 -> 1413[label="",style="solid", color="blue", weight=9];
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1448[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1448[label="",style="solid", color="blue", weight=9];
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1452[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];690 -> 1452[label="",style="solid", color="blue", weight=9];
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1029[label="xy321 == xy3501\n",fontsize=16,color="magenta"];1029 -> 1146[label="",style="dashed", color="magenta", weight=3];
1029 -> 1147[label="",style="dashed", color="magenta", weight=3];
1030[label="xy3500\n",fontsize=16,color="green",shape="box"];1031[label="xy320\n",fontsize=16,color="green",shape="box"];1032[label="xy3500\n",fontsize=16,color="green",shape="box"];1033[label="xy320\n",fontsize=16,color="green",shape="box"];1034[label="xy3500\n",fontsize=16,color="green",shape="box"];1035[label="xy320\n",fontsize=16,color="green",shape="box"];1036[label="xy3500\n",fontsize=16,color="green",shape="box"];1037[label="xy320\n",fontsize=16,color="green",shape="box"];1038[label="xy3500\n",fontsize=16,color="green",shape="box"];1039[label="xy320\n",fontsize=16,color="green",shape="box"];1040[label="xy3500\n",fontsize=16,color="green",shape="box"];1041[label="xy320\n",fontsize=16,color="green",shape="box"];1042[label="xy3500\n",fontsize=16,color="green",shape="box"];1043[label="xy320\n",fontsize=16,color="green",shape="box"];1044[label="xy3500\n",fontsize=16,color="green",shape="box"];1045[label="xy320\n",fontsize=16,color="green",shape="box"];1046[label="xy3500\n",fontsize=16,color="green",shape="box"];1047[label="xy320\n",fontsize=16,color="green",shape="box"];1048[label="xy3500\n",fontsize=16,color="green",shape="box"];1049[label="xy320\n",fontsize=16,color="green",shape="box"];1050[label="xy3500\n",fontsize=16,color="green",shape="box"];1051[label="xy320\n",fontsize=16,color="green",shape="box"];1052[label="xy3500\n",fontsize=16,color="green",shape="box"];1053[label="xy320\n",fontsize=16,color="green",shape="box"];1054[label="xy3500\n",fontsize=16,color="green",shape="box"];1055[label="xy320\n",fontsize=16,color="green",shape="box"];1056[label="xy3500\n",fontsize=16,color="green",shape="box"];1057[label="xy320\n",fontsize=16,color="green",shape="box"];1058[label="xy3500\n",fontsize=16,color="green",shape="box"];1059[label="xy320\n",fontsize=16,color="green",shape="box"];1060[label="xy3500\n",fontsize=16,color="green",shape="box"];1061[label="xy320\n",fontsize=16,color="green",shape="box"];1062[label="xy3500\n",fontsize=16,color="green",shape="box"];1063[label="xy320\n",fontsize=16,color="green",shape="box"];1064[label="xy3500\n",fontsize=16,color="green",shape="box"];1065[label="xy320\n",fontsize=16,color="green",shape="box"];1066[label="xy3500\n",fontsize=16,color="green",shape="box"];1067[label="xy320\n",fontsize=16,color="green",shape="box"];1068[label="xy3500\n",fontsize=16,color="green",shape="box"];1069[label="xy320\n",fontsize=16,color="green",shape="box"];1070[label="xy3500\n",fontsize=16,color="green",shape="box"];1071[label="xy320\n",fontsize=16,color="green",shape="box"];1072[label="xy3500\n",fontsize=16,color="green",shape="box"];1073[label="xy320\n",fontsize=16,color="green",shape="box"];1074[label="xy3500\n",fontsize=16,color="green",shape="box"];1075[label="xy320\n",fontsize=16,color="green",shape="box"];1076[label="xy3500\n",fontsize=16,color="green",shape="box"];1077[label="xy320\n",fontsize=16,color="green",shape="box"];1078[label="xy3500\n",fontsize=16,color="green",shape="box"];1079[label="xy320\n",fontsize=16,color="green",shape="box"];1080[label="xy3500\n",fontsize=16,color="green",shape="box"];1081[label="xy320\n",fontsize=16,color="green",shape="box"];1082[label="xy3500\n",fontsize=16,color="green",shape="box"];1083[label="xy320\n",fontsize=16,color="green",shape="box"];1084[label="xy3500\n",fontsize=16,color="green",shape="box"];1085[label="xy320\n",fontsize=16,color="green",shape="box"];1086[label="primMulInt (Pos xy3210) xy3501\n",fontsize=16,color="burlywood",shape="box"];1626[label="xy3501/Pos xy35010",fontsize=10,color="white",style="solid",shape="box"];1086 -> 1626[label="",style="solid", color="burlywood", weight=9];
1626 -> 1148[label="",style="solid", color="burlywood", weight=3];
1627[label="xy3501/Neg xy35010",fontsize=10,color="white",style="solid",shape="box"];1086 -> 1627[label="",style="solid", color="burlywood", weight=9];
1627 -> 1149[label="",style="solid", color="burlywood", weight=3];
1087[label="primMulInt (Neg xy3210) xy3501\n",fontsize=16,color="burlywood",shape="box"];1628[label="xy3501/Pos xy35010",fontsize=10,color="white",style="solid",shape="box"];1087 -> 1628[label="",style="solid", color="burlywood", weight=9];
1628 -> 1150[label="",style="solid", color="burlywood", weight=3];
1629[label="xy3501/Neg xy35010",fontsize=10,color="white",style="solid",shape="box"];1087 -> 1629[label="",style="solid", color="burlywood", weight=9];
1629 -> 1151[label="",style="solid", color="burlywood", weight=3];
1088[label="primEqNat (Succ xy32000) xy35000\n",fontsize=16,color="burlywood",shape="box"];1630[label="xy35000/Succ xy350000",fontsize=10,color="white",style="solid",shape="box"];1088 -> 1630[label="",style="solid", color="burlywood", weight=9];
1630 -> 1152[label="",style="solid", color="burlywood", weight=3];
1631[label="xy35000/Zero",fontsize=10,color="white",style="solid",shape="box"];1088 -> 1631[label="",style="solid", color="burlywood", weight=9];
1631 -> 1153[label="",style="solid", color="burlywood", weight=3];
1089[label="primEqNat Zero xy35000\n",fontsize=16,color="burlywood",shape="box"];1632[label="xy35000/Succ xy350000",fontsize=10,color="white",style="solid",shape="box"];1089 -> 1632[label="",style="solid", color="burlywood", weight=9];
1632 -> 1154[label="",style="solid", color="burlywood", weight=3];
1633[label="xy35000/Zero",fontsize=10,color="white",style="solid",shape="box"];1089 -> 1633[label="",style="solid", color="burlywood", weight=9];
1633 -> 1155[label="",style="solid", color="burlywood", weight=3];
1090[label="xy3200\n",fontsize=16,color="green",shape="box"];1091[label="xy35000\n",fontsize=16,color="green",shape="box"];1092[label="xy3502\n",fontsize=16,color="green",shape="box"];1093[label="xy322\n",fontsize=16,color="green",shape="box"];1094[label="xy3502\n",fontsize=16,color="green",shape="box"];1095[label="xy322\n",fontsize=16,color="green",shape="box"];1096[label="xy3502\n",fontsize=16,color="green",shape="box"];1097[label="xy322\n",fontsize=16,color="green",shape="box"];1098[label="xy3502\n",fontsize=16,color="green",shape="box"];1099[label="xy322\n",fontsize=16,color="green",shape="box"];1100[label="xy3502\n",fontsize=16,color="green",shape="box"];1101[label="xy322\n",fontsize=16,color="green",shape="box"];1102[label="xy3502\n",fontsize=16,color="green",shape="box"];1103[label="xy322\n",fontsize=16,color="green",shape="box"];1104[label="xy3502\n",fontsize=16,color="green",shape="box"];1105[label="xy322\n",fontsize=16,color="green",shape="box"];1106[label="xy3502\n",fontsize=16,color="green",shape="box"];1107[label="xy322\n",fontsize=16,color="green",shape="box"];1108[label="xy3502\n",fontsize=16,color="green",shape="box"];1109[label="xy322\n",fontsize=16,color="green",shape="box"];1110[label="xy3502\n",fontsize=16,color="green",shape="box"];1111[label="xy322\n",fontsize=16,color="green",shape="box"];1112[label="xy3502\n",fontsize=16,color="green",shape="box"];1113[label="xy322\n",fontsize=16,color="green",shape="box"];1114[label="xy3502\n",fontsize=16,color="green",shape="box"];1115[label="xy322\n",fontsize=16,color="green",shape="box"];1116[label="xy3502\n",fontsize=16,color="green",shape="box"];1117[label="xy322\n",fontsize=16,color="green",shape="box"];1118[label="xy3502\n",fontsize=16,color="green",shape="box"];1119[label="xy322\n",fontsize=16,color="green",shape="box"];1120[label="xy3501\n",fontsize=16,color="green",shape="box"];1121[label="xy321\n",fontsize=16,color="green",shape="box"];1122[label="xy3501\n",fontsize=16,color="green",shape="box"];1123[label="xy321\n",fontsize=16,color="green",shape="box"];1124[label="xy3501\n",fontsize=16,color="green",shape="box"];1125[label="xy321\n",fontsize=16,color="green",shape="box"];1126[label="xy3501\n",fontsize=16,color="green",shape="box"];1127[label="xy321\n",fontsize=16,color="green",shape="box"];1128[label="xy3501\n",fontsize=16,color="green",shape="box"];1129[label="xy321\n",fontsize=16,color="green",shape="box"];1130[label="xy3501\n",fontsize=16,color="green",shape="box"];1131[label="xy321\n",fontsize=16,color="green",shape="box"];1132[label="xy3501\n",fontsize=16,color="green",shape="box"];1133[label="xy321\n",fontsize=16,color="green",shape="box"];1134[label="xy3501\n",fontsize=16,color="green",shape="box"];1135[label="xy321\n",fontsize=16,color="green",shape="box"];1136[label="xy3501\n",fontsize=16,color="green",shape="box"];1137[label="xy321\n",fontsize=16,color="green",shape="box"];1138[label="xy3501\n",fontsize=16,color="green",shape="box"];1139[label="xy321\n",fontsize=16,color="green",shape="box"];1140[label="xy3501\n",fontsize=16,color="green",shape="box"];1141[label="xy321\n",fontsize=16,color="green",shape="box"];1142[label="xy3501\n",fontsize=16,color="green",shape="box"];1143[label="xy321\n",fontsize=16,color="green",shape="box"];1144[label="xy3501\n",fontsize=16,color="green",shape="box"];1145[label="xy321\n",fontsize=16,color="green",shape="box"];1146[label="xy3501\n",fontsize=16,color="green",shape="box"];1147[label="xy321\n",fontsize=16,color="green",shape="box"];1148[label="primMulInt (Pos xy3210) (Pos xy35010)\n",fontsize=16,color="black",shape="box"];1148 -> 1156[label="",style="solid", color="black", weight=3];
1149[label="primMulInt (Pos xy3210) (Neg xy35010)\n",fontsize=16,color="black",shape="box"];1149 -> 1157[label="",style="solid", color="black", weight=3];
1150[label="primMulInt (Neg xy3210) (Pos xy35010)\n",fontsize=16,color="black",shape="box"];1150 -> 1158[label="",style="solid", color="black", weight=3];
1151[label="primMulInt (Neg xy3210) (Neg xy35010)\n",fontsize=16,color="black",shape="box"];1151 -> 1159[label="",style="solid", color="black", weight=3];
1152[label="primEqNat (Succ xy32000) (Succ xy350000)\n",fontsize=16,color="black",shape="box"];1152 -> 1160[label="",style="solid", color="black", weight=3];
1153[label="primEqNat (Succ xy32000) Zero\n",fontsize=16,color="black",shape="box"];1153 -> 1161[label="",style="solid", color="black", weight=3];
1154[label="primEqNat Zero (Succ xy350000)\n",fontsize=16,color="black",shape="box"];1154 -> 1162[label="",style="solid", color="black", weight=3];
1155[label="primEqNat Zero Zero\n",fontsize=16,color="black",shape="box"];1155 -> 1163[label="",style="solid", color="black", weight=3];
1156[label="Pos (primMulNat xy3210 xy35010)\n",fontsize=16,color="green",shape="box"];1156 -> 1164[label="",style="dashed", color="green", weight=3];
1157[label="Neg (primMulNat xy3210 xy35010)\n",fontsize=16,color="green",shape="box"];1157 -> 1165[label="",style="dashed", color="green", weight=3];
1158[label="Neg (primMulNat xy3210 xy35010)\n",fontsize=16,color="green",shape="box"];1158 -> 1166[label="",style="dashed", color="green", weight=3];
1159[label="Pos (primMulNat xy3210 xy35010)\n",fontsize=16,color="green",shape="box"];1159 -> 1167[label="",style="dashed", color="green", weight=3];
1160 -> 926[label="",style="dashed", color="red", weight=0];
1160[label="primEqNat xy32000 xy350000\n",fontsize=16,color="magenta"];1160 -> 1168[label="",style="dashed", color="magenta", weight=3];
1160 -> 1169[label="",style="dashed", color="magenta", weight=3];
1161[label="False\n",fontsize=16,color="green",shape="box"];1162[label="False\n",fontsize=16,color="green",shape="box"];1163[label="True\n",fontsize=16,color="green",shape="box"];1164[label="primMulNat xy3210 xy35010\n",fontsize=16,color="burlywood",shape="triangle"];1635[label="xy3210/Succ xy32100",fontsize=10,color="white",style="solid",shape="box"];1164 -> 1635[label="",style="solid", color="burlywood", weight=9];
1635 -> 1170[label="",style="solid", color="burlywood", weight=3];
1636[label="xy3210/Zero",fontsize=10,color="white",style="solid",shape="box"];1164 -> 1636[label="",style="solid", color="burlywood", weight=9];
1636 -> 1171[label="",style="solid", color="burlywood", weight=3];
1165 -> 1164[label="",style="dashed", color="red", weight=0];
1165[label="primMulNat xy3210 xy35010\n",fontsize=16,color="magenta"];1165 -> 1172[label="",style="dashed", color="magenta", weight=3];
1166 -> 1164[label="",style="dashed", color="red", weight=0];
1166[label="primMulNat xy3210 xy35010\n",fontsize=16,color="magenta"];1166 -> 1173[label="",style="dashed", color="magenta", weight=3];
1167 -> 1164[label="",style="dashed", color="red", weight=0];
1167[label="primMulNat xy3210 xy35010\n",fontsize=16,color="magenta"];1167 -> 1174[label="",style="dashed", color="magenta", weight=3];
1167 -> 1175[label="",style="dashed", color="magenta", weight=3];
1168[label="xy32000\n",fontsize=16,color="green",shape="box"];1169[label="xy350000\n",fontsize=16,color="green",shape="box"];1170[label="primMulNat (Succ xy32100) xy35010\n",fontsize=16,color="burlywood",shape="box"];1640[label="xy35010/Succ xy350100",fontsize=10,color="white",style="solid",shape="box"];1170 -> 1640[label="",style="solid", color="burlywood", weight=9];
1640 -> 1176[label="",style="solid", color="burlywood", weight=3];
1641[label="xy35010/Zero",fontsize=10,color="white",style="solid",shape="box"];1170 -> 1641[label="",style="solid", color="burlywood", weight=9];
1641 -> 1177[label="",style="solid", color="burlywood", weight=3];
1171[label="primMulNat Zero xy35010\n",fontsize=16,color="burlywood",shape="box"];1642[label="xy35010/Succ xy350100",fontsize=10,color="white",style="solid",shape="box"];1171 -> 1642[label="",style="solid", color="burlywood", weight=9];
1642 -> 1178[label="",style="solid", color="burlywood", weight=3];
1643[label="xy35010/Zero",fontsize=10,color="white",style="solid",shape="box"];1171 -> 1643[label="",style="solid", color="burlywood", weight=9];
1643 -> 1179[label="",style="solid", color="burlywood", weight=3];
1172[label="xy35010\n",fontsize=16,color="green",shape="box"];1173[label="xy3210\n",fontsize=16,color="green",shape="box"];1174[label="xy35010\n",fontsize=16,color="green",shape="box"];1175[label="xy3210\n",fontsize=16,color="green",shape="box"];1176[label="primMulNat (Succ xy32100) (Succ xy350100)\n",fontsize=16,color="black",shape="box"];1176 -> 1180[label="",style="solid", color="black", weight=3];
1177[label="primMulNat (Succ xy32100) Zero\n",fontsize=16,color="black",shape="box"];1177 -> 1181[label="",style="solid", color="black", weight=3];
1178[label="primMulNat Zero (Succ xy350100)\n",fontsize=16,color="black",shape="box"];1178 -> 1182[label="",style="solid", color="black", weight=3];
1179[label="primMulNat Zero Zero\n",fontsize=16,color="black",shape="box"];1179 -> 1183[label="",style="solid", color="black", weight=3];
1180 -> 1184[label="",style="dashed", color="red", weight=0];
1180[label="primPlusNat (primMulNat xy32100 (Succ xy350100)) (Succ xy350100)\n",fontsize=16,color="magenta"];1180 -> 1185[label="",style="dashed", color="magenta", weight=3];
1181[label="Zero\n",fontsize=16,color="green",shape="box"];1182[label="Zero\n",fontsize=16,color="green",shape="box"];1183[label="Zero\n",fontsize=16,color="green",shape="box"];1185 -> 1164[label="",style="dashed", color="red", weight=0];
1185[label="primMulNat xy32100 (Succ xy350100)\n",fontsize=16,color="magenta"];1185 -> 1186[label="",style="dashed", color="magenta", weight=3];
1185 -> 1187[label="",style="dashed", color="magenta", weight=3];
1184[label="primPlusNat xy56 (Succ xy350100)\n",fontsize=16,color="burlywood",shape="triangle"];1646[label="xy56/Succ xy560",fontsize=10,color="white",style="solid",shape="box"];1184 -> 1646[label="",style="solid", color="burlywood", weight=9];
1646 -> 1188[label="",style="solid", color="burlywood", weight=3];
1647[label="xy56/Zero",fontsize=10,color="white",style="solid",shape="box"];1184 -> 1647[label="",style="solid", color="burlywood", weight=9];
1647 -> 1189[label="",style="solid", color="burlywood", weight=3];
1186[label="Succ xy350100\n",fontsize=16,color="green",shape="box"];1187[label="xy32100\n",fontsize=16,color="green",shape="box"];1188[label="primPlusNat (Succ xy560) (Succ xy350100)\n",fontsize=16,color="black",shape="box"];1188 -> 1190[label="",style="solid", color="black", weight=3];
1189[label="primPlusNat Zero (Succ xy350100)\n",fontsize=16,color="black",shape="box"];1189 -> 1191[label="",style="solid", color="black", weight=3];
1190[label="Succ (Succ (primPlusNat xy560 xy350100))\n",fontsize=16,color="green",shape="box"];1190 -> 1192[label="",style="dashed", color="green", weight=3];
1191[label="Succ xy350100\n",fontsize=16,color="green",shape="box"];1192[label="primPlusNat xy560 xy350100\n",fontsize=16,color="burlywood",shape="triangle"];1648[label="xy560/Succ xy5600",fontsize=10,color="white",style="solid",shape="box"];1192 -> 1648[label="",style="solid", color="burlywood", weight=9];
1648 -> 1193[label="",style="solid", color="burlywood", weight=3];
1649[label="xy560/Zero",fontsize=10,color="white",style="solid",shape="box"];1192 -> 1649[label="",style="solid", color="burlywood", weight=9];
1649 -> 1194[label="",style="solid", color="burlywood", weight=3];
1193[label="primPlusNat (Succ xy5600) xy350100\n",fontsize=16,color="burlywood",shape="box"];1650[label="xy350100/Succ xy3501000",fontsize=10,color="white",style="solid",shape="box"];1193 -> 1650[label="",style="solid", color="burlywood", weight=9];
1650 -> 1195[label="",style="solid", color="burlywood", weight=3];
1651[label="xy350100/Zero",fontsize=10,color="white",style="solid",shape="box"];1193 -> 1651[label="",style="solid", color="burlywood", weight=9];
1651 -> 1196[label="",style="solid", color="burlywood", weight=3];
1194[label="primPlusNat Zero xy350100\n",fontsize=16,color="burlywood",shape="box"];1652[label="xy350100/Succ xy3501000",fontsize=10,color="white",style="solid",shape="box"];1194 -> 1652[label="",style="solid", color="burlywood", weight=9];
1652 -> 1197[label="",style="solid", color="burlywood", weight=3];
1653[label="xy350100/Zero",fontsize=10,color="white",style="solid",shape="box"];1194 -> 1653[label="",style="solid", color="burlywood", weight=9];
1653 -> 1198[label="",style="solid", color="burlywood", weight=3];
1195[label="primPlusNat (Succ xy5600) (Succ xy3501000)\n",fontsize=16,color="black",shape="box"];1195 -> 1199[label="",style="solid", color="black", weight=3];
1196[label="primPlusNat (Succ xy5600) Zero\n",fontsize=16,color="black",shape="box"];1196 -> 1200[label="",style="solid", color="black", weight=3];
1197[label="primPlusNat Zero (Succ xy3501000)\n",fontsize=16,color="black",shape="box"];1197 -> 1201[label="",style="solid", color="black", weight=3];
1198[label="primPlusNat Zero Zero\n",fontsize=16,color="black",shape="box"];1198 -> 1202[label="",style="solid", color="black", weight=3];
1199[label="Succ (Succ (primPlusNat xy5600 xy3501000))\n",fontsize=16,color="green",shape="box"];1199 -> 1203[label="",style="dashed", color="green", weight=3];
1200[label="Succ xy5600\n",fontsize=16,color="green",shape="box"];1201[label="Succ xy3501000\n",fontsize=16,color="green",shape="box"];1202[label="Zero\n",fontsize=16,color="green",shape="box"];1203 -> 1192[label="",style="dashed", color="red", weight=0];
1203[label="primPlusNat xy5600 xy3501000\n",fontsize=16,color="magenta"];1203 -> 1204[label="",style="dashed", color="magenta", weight=3];
1203 -> 1205[label="",style="dashed", color="magenta", weight=3];
1204[label="xy3501000\n",fontsize=16,color="green",shape="box"];1205[label="xy5600\n",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primMulNat(Succ(xy32100), Succ(xy350100)) → new_primMulNat(xy32100, Succ(xy350100))

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_primMulNat(Succ(xy32100), Succ(xy350100)) → new_primMulNat(xy32100, Succ(xy350100))
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primPlusNat(Succ(xy5600), Succ(xy3501000)) → new_primPlusNat(xy5600, xy3501000)

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

new_primPlusNat(Succ(xy5600), Succ(xy3501000)) → new_primPlusNat(xy5600, xy3501000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_isPrefixOf0(xy32, xy31, xy35, :(xy3410, xy3411), ba) → new_isPrefixOf0(xy32, xy31, new_flip(xy35, xy3410, ba), xy3411, ba)

The TRS R consists of the following rules:

new_flip(xy31, xy32, ba) → :(xy32, xy31)

The set Q consists of the following terms:

new_flip(x0, x1, 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_isPrefixOf0(xy32, xy31, xy35, :(xy3410, xy3411), ba) → new_isPrefixOf0(xy32, xy31, new_flip(xy35, xy3410, ba), xy3411, ba)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 4, 5 >= 5

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(app(ty_@2, cc), cd), ce) → new_esEs(xy320, xy3500, cc, cd)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(ty_[], bh)) → new_esEs2(xy321, xy3501, bh)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(app(app(ty_@3, gg), gh), ha), ge) → new_esEs1(xy321, xy3501, gg, gh, ha)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(app(ty_Either, hc), hd), ge) → new_esEs3(xy321, xy3501, hc, hd)
new_esEs0(Just(xy320), Just(xy3500), app(app(ty_Either, ee), ef)) → new_esEs3(xy320, xy3500, ee, ef)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(app(ty_@2, gc), gd), ge) → new_esEs(xy321, xy3501, gc, gd)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(app(ty_Either, ga), gb)) → new_esEs3(xy322, xy3502, ga, gb)
new_esEs3(Right(xy320), Right(xy3500), bdb, app(app(ty_Either, beb), bec)) → new_esEs3(xy320, xy3500, beb, bec)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(ty_Maybe, gf), ge) → new_esEs0(xy321, xy3501, gf)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(app(app(ty_@3, fd), ff), fg)) → new_esEs1(xy322, xy3502, fd, ff, fg)
new_esEs0(Just(xy320), Just(xy3500), app(ty_Maybe, dh)) → new_esEs0(xy320, xy3500, dh)
new_esEs3(Right(xy320), Right(xy3500), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs1(xy320, xy3500, bdf, bdg, bdh)
new_esEs3(Left(xy320), Left(xy3500), app(app(app(ty_@3, bcd), bce), bcf), bcb) → new_esEs1(xy320, xy3500, bcd, bce, bcf)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(ty_[], fh)) → new_esEs2(xy322, xy3502, fh)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(ty_Maybe, bd)) → new_esEs0(xy321, xy3501, bd)
new_esEs3(Left(xy320), Left(xy3500), app(app(ty_Either, bch), bda), bcb) → new_esEs3(xy320, xy3500, bch, bda)
new_esEs3(Left(xy320), Left(xy3500), app(app(ty_@2, bbh), bca), bcb) → new_esEs(xy320, xy3500, bbh, bca)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(ty_Maybe, fc)) → new_esEs0(xy322, xy3502, fc)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(app(ty_@2, fa), fb)) → new_esEs(xy322, xy3502, fa, fb)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(ty_[], hb), ge) → new_esEs2(xy321, xy3501, hb)
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(ty_Maybe, bba)) → new_esEs0(xy320, xy3500, bba)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(app(app(ty_@3, be), bf), bg)) → new_esEs1(xy321, xy3501, be, bf, bg)
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(xy320, xy3500, bbb, bbc, bbd)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(app(app(ty_@3, hh), baa), bab), eh, ge) → new_esEs1(xy320, xy3500, hh, baa, bab)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(app(ty_Either, dd), de), ce) → new_esEs3(xy320, xy3500, dd, de)
new_esEs0(Just(xy320), Just(xy3500), app(app(ty_@2, df), dg)) → new_esEs(xy320, xy3500, df, dg)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(ty_Maybe, cf), ce) → new_esEs0(xy320, xy3500, cf)
new_esEs3(Right(xy320), Right(xy3500), bdb, app(ty_[], bea)) → new_esEs2(xy320, xy3500, bea)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(app(ty_Either, ca), cb)) → new_esEs3(xy321, xy3501, ca, cb)
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), baf) → new_esEs2(xy321, xy3501, baf)
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(app(ty_@2, bag), bah)) → new_esEs(xy320, xy3500, bag, bah)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(app(ty_@2, bb), bc)) → new_esEs(xy321, xy3501, bb, bc)
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(ty_[], bbe)) → new_esEs2(xy320, xy3500, bbe)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(ty_Maybe, hg), eh, ge) → new_esEs0(xy320, xy3500, hg)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(ty_[], bac), eh, ge) → new_esEs2(xy320, xy3500, bac)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(app(ty_Either, bad), bae), eh, ge) → new_esEs3(xy320, xy3500, bad, bae)
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(app(ty_Either, bbf), bbg)) → new_esEs3(xy320, xy3500, bbf, bbg)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(app(app(ty_@3, cg), da), db), ce) → new_esEs1(xy320, xy3500, cg, da, db)
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(app(ty_@2, he), hf), eh, ge) → new_esEs(xy320, xy3500, he, hf)
new_esEs3(Left(xy320), Left(xy3500), app(ty_Maybe, bcc), bcb) → new_esEs0(xy320, xy3500, bcc)
new_esEs3(Right(xy320), Right(xy3500), bdb, app(ty_Maybe, bde)) → new_esEs0(xy320, xy3500, bde)
new_esEs3(Left(xy320), Left(xy3500), app(ty_[], bcg), bcb) → new_esEs2(xy320, xy3500, bcg)
new_esEs0(Just(xy320), Just(xy3500), app(app(app(ty_@3, ea), eb), ec)) → new_esEs1(xy320, xy3500, ea, eb, ec)
new_esEs0(Just(xy320), Just(xy3500), app(ty_[], ed)) → new_esEs2(xy320, xy3500, ed)
new_esEs3(Right(xy320), Right(xy3500), bdb, app(app(ty_@2, bdc), bdd)) → new_esEs(xy320, xy3500, bdc, bdd)
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(ty_[], dc), ce) → new_esEs2(xy320, xy3500, dc)

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

new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(app(ty_@2, bag), bah)) → new_esEs(xy320, xy3500, bag, bah)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(xy320, xy3500, bbb, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(Just(xy320), Just(xy3500), app(app(ty_@2, df), dg)) → new_esEs(xy320, xy3500, df, dg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Just(xy320), Just(xy3500), app(app(app(ty_@3, ea), eb), ec)) → new_esEs1(xy320, xy3500, ea, eb, ec)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(ty_Maybe, bba)) → new_esEs0(xy320, xy3500, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(Just(xy320), Just(xy3500), app(ty_Maybe, dh)) → new_esEs0(xy320, xy3500, dh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(app(ty_Either, bbf), bbg)) → new_esEs3(xy320, xy3500, bbf, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Just(xy320), Just(xy3500), app(app(ty_Either, ee), ef)) → new_esEs3(xy320, xy3500, ee, ef)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(Just(xy320), Just(xy3500), app(ty_[], ed)) → new_esEs2(xy320, xy3500, ed)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(app(ty_@2, cc), cd), ce) → new_esEs(xy320, xy3500, cc, cd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(app(ty_@2, bb), bc)) → new_esEs(xy321, xy3501, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(app(app(ty_@3, be), bf), bg)) → new_esEs1(xy321, xy3501, be, bf, bg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(app(app(ty_@3, cg), da), db), ce) → new_esEs1(xy320, xy3500, cg, da, db)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(ty_Maybe, bd)) → new_esEs0(xy321, xy3501, bd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(ty_Maybe, cf), ce) → new_esEs0(xy320, xy3500, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(app(ty_Either, dd), de), ce) → new_esEs3(xy320, xy3500, dd, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(app(ty_Either, ca), cb)) → new_esEs3(xy321, xy3501, ca, cb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), ba, app(ty_[], bh)) → new_esEs2(xy321, xy3501, bh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(@2(xy320, xy321), @2(xy3500, xy3501), app(ty_[], dc), ce) → new_esEs2(xy320, xy3500, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(app(ty_@2, gc), gd), ge) → new_esEs(xy321, xy3501, gc, gd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(app(ty_@2, fa), fb)) → new_esEs(xy322, xy3502, fa, fb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(app(ty_@2, he), hf), eh, ge) → new_esEs(xy320, xy3500, he, hf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Left(xy320), Left(xy3500), app(app(ty_@2, bbh), bca), bcb) → new_esEs(xy320, xy3500, bbh, bca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Right(xy320), Right(xy3500), bdb, app(app(ty_@2, bdc), bdd)) → new_esEs(xy320, xy3500, bdc, bdd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), baf) → new_esEs2(xy321, xy3501, baf)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs2(:(xy320, xy321), :(xy3500, xy3501), app(ty_[], bbe)) → new_esEs2(xy320, xy3500, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(app(app(ty_@3, gg), gh), ha), ge) → new_esEs1(xy321, xy3501, gg, gh, ha)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(app(app(ty_@3, fd), ff), fg)) → new_esEs1(xy322, xy3502, fd, ff, fg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(app(app(ty_@3, hh), baa), bab), eh, ge) → new_esEs1(xy320, xy3500, hh, baa, bab)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(ty_Maybe, gf), ge) → new_esEs0(xy321, xy3501, gf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(ty_Maybe, fc)) → new_esEs0(xy322, xy3502, fc)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(ty_Maybe, hg), eh, ge) → new_esEs0(xy320, xy3500, hg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(app(ty_Either, hc), hd), ge) → new_esEs3(xy321, xy3501, hc, hd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(app(ty_Either, ga), gb)) → new_esEs3(xy322, xy3502, ga, gb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(app(ty_Either, bad), bae), eh, ge) → new_esEs3(xy320, xy3500, bad, bae)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, eh, app(ty_[], fh)) → new_esEs2(xy322, xy3502, fh)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), eg, app(ty_[], hb), ge) → new_esEs2(xy321, xy3501, hb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(@3(xy320, xy321, xy322), @3(xy3500, xy3501, xy3502), app(ty_[], bac), eh, ge) → new_esEs2(xy320, xy3500, bac)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Right(xy320), Right(xy3500), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs1(xy320, xy3500, bdf, bdg, bdh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs3(Left(xy320), Left(xy3500), app(app(app(ty_@3, bcd), bce), bcf), bcb) → new_esEs1(xy320, xy3500, bcd, bce, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Right(xy320), Right(xy3500), bdb, app(ty_Maybe, bde)) → new_esEs0(xy320, xy3500, bde)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(Left(xy320), Left(xy3500), app(ty_Maybe, bcc), bcb) → new_esEs0(xy320, xy3500, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Right(xy320), Right(xy3500), bdb, app(app(ty_Either, beb), bec)) → new_esEs3(xy320, xy3500, beb, bec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(Left(xy320), Left(xy3500), app(app(ty_Either, bch), bda), bcb) → new_esEs3(xy320, xy3500, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Right(xy320), Right(xy3500), bdb, app(ty_[], bea)) → new_esEs2(xy320, xy3500, bea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(Left(xy320), Left(xy3500), app(ty_[], bcg), bcb) → new_esEs2(xy320, xy3500, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

new_primEqNat(Succ(xy32000), Succ(xy350000)) → new_primEqNat(xy32000, xy350000)

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

new_primEqNat(Succ(xy32000), Succ(xy350000)) → new_primEqNat(xy32000, xy350000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

new_isPrefixOf1(xy31, xy32, :(xy330, xy331), xy34, ba) → new_isPrefixOf1(new_flip(xy31, xy32, ba), xy330, xy331, xy34, ba)

The TRS R consists of the following rules:

new_flip(xy31, xy32, ba) → :(xy32, xy31)

The set Q consists of the following terms:

new_flip(x0, x1, 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_isPrefixOf1(xy31, xy32, :(xy330, xy331), xy34, ba) → new_isPrefixOf1(new_flip(xy31, xy32, ba), xy330, xy331, xy34, ba)
The graph contains the following edges 3 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ NumRed

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

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

new_isPrefixOf(:(xy310, xy311), :(xy3510, xy3511), ba) → new_isPrefixOf(xy311, xy3511, ba)

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

new_isPrefixOf(:(xy310, xy311), :(xy3510, xy3511), ba) → new_isPrefixOf(xy311, xy3511, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3