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

YES 1.719 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/List.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ BR

mainModule List

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

module List where

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 Maybe where

import qualified List
import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

mainModule List

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

module List where

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 Maybe where

import qualified List
import qualified Prelude

Cond Reductions:
The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

mainModule List

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

module List where

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 Maybe where

import qualified List
import qualified Prelude

Haskell To QDPs

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369[label="xy23 == xy260 && isPrefixOf xy22 xy261\n  Eq a",fontsize=16,color="magenta"];369 -> 509[label="",style="dashed", color="magenta", weight=3];
369 -> 510[label="",style="dashed", color="magenta", weight=3];
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1210[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1210[label="",style="solid", color="blue", weight=9];
1210 -> 515[label="",style="solid", color="blue", weight=3];
1211[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1211[label="",style="solid", color="blue", weight=9];
1211 -> 516[label="",style="solid", color="blue", weight=3];
1212[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1212[label="",style="solid", color="blue", weight=9];
1212 -> 517[label="",style="solid", color="blue", weight=3];
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1213 -> 518[label="",style="solid", color="blue", weight=3];
1214[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1214[label="",style="solid", color="blue", weight=9];
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1216[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1216[label="",style="solid", color="blue", weight=9];
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1217[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];509 -> 1217[label="",style="solid", color="blue", weight=9];
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1224 -> 529[label="",style="solid", color="burlywood", weight=3];
1225[label="xy38/True",fontsize=10,color="white",style="solid",shape="box"];508 -> 1225[label="",style="solid", color="burlywood", weight=9];
1225 -> 530[label="",style="solid", color="burlywood", weight=3];
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1226 -> 531[label="",style="solid", color="burlywood", weight=3];
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1227 -> 532[label="",style="solid", color="burlywood", weight=3];
1228[label="xy23/[]",fontsize=10,color="white",style="solid",shape="box"];514 -> 1228[label="",style="solid", color="burlywood", weight=9];
1228 -> 533[label="",style="solid", color="burlywood", weight=3];
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1229 -> 534[label="",style="solid", color="burlywood", weight=3];
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1230 -> 535[label="",style="solid", color="burlywood", weight=3];
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1231 -> 536[label="",style="solid", color="burlywood", weight=3];
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1236 -> 542[label="",style="solid", color="burlywood", weight=3];
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523[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];523 -> 545[label="",style="solid", color="black", weight=3];
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1237 -> 546[label="",style="solid", color="burlywood", weight=3];
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1239 -> 548[label="",style="solid", color="burlywood", weight=3];
1240[label="xy23/Right xy230",fontsize=10,color="white",style="solid",shape="box"];525 -> 1240[label="",style="solid", color="burlywood", weight=9];
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526[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1241[label="xy23/()",fontsize=10,color="white",style="solid",shape="box"];526 -> 1241[label="",style="solid", color="burlywood", weight=9];
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1242 -> 551[label="",style="solid", color="burlywood", weight=3];
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1243 -> 552[label="",style="solid", color="burlywood", weight=3];
528[label="isPrefixOf [] xy261\n  Eq a",fontsize=16,color="black",shape="box"];528 -> 553[label="",style="solid", color="black", weight=3];
529[label="False && xy39",fontsize=16,color="black",shape="box"];529 -> 554[label="",style="solid", color="black", weight=3];
530[label="True && xy39",fontsize=16,color="black",shape="box"];530 -> 555[label="",style="solid", color="black", weight=3];
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1244 -> 556[label="",style="solid", color="burlywood", weight=3];
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1245 -> 557[label="",style="solid", color="burlywood", weight=3];
1246[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];532 -> 1246[label="",style="solid", color="burlywood", weight=9];
1246 -> 558[label="",style="solid", color="burlywood", weight=3];
533[label="[] == xy260\n  Eq a",fontsize=16,color="burlywood",shape="box"];1247[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];533 -> 1247[label="",style="solid", color="burlywood", weight=9];
1247 -> 559[label="",style="solid", color="burlywood", weight=3];
1248[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];533 -> 1248[label="",style="solid", color="burlywood", weight=9];
1248 -> 560[label="",style="solid", color="burlywood", weight=3];
534[label="(xy230,xy231) == xy260\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1249[label="xy260/(xy2600,xy2601)",fontsize=10,color="white",style="solid",shape="box"];534 -> 1249[label="",style="solid", color="burlywood", weight=9];
1249 -> 561[label="",style="solid", color="burlywood", weight=3];
535[label="False == xy260",fontsize=16,color="burlywood",shape="box"];1250[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];535 -> 1250[label="",style="solid", color="burlywood", weight=9];
1250 -> 562[label="",style="solid", color="burlywood", weight=3];
1251[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];535 -> 1251[label="",style="solid", color="burlywood", weight=9];
1251 -> 563[label="",style="solid", color="burlywood", weight=3];
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1252 -> 564[label="",style="solid", color="burlywood", weight=3];
1253[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];536 -> 1253[label="",style="solid", color="burlywood", weight=9];
1253 -> 565[label="",style="solid", color="burlywood", weight=3];
537[label="primEqInt xy23 xy260",fontsize=16,color="burlywood",shape="triangle"];1254[label="xy23/Pos xy230",fontsize=10,color="white",style="solid",shape="box"];537 -> 1254[label="",style="solid", color="burlywood", weight=9];
1254 -> 566[label="",style="solid", color="burlywood", weight=3];
1255[label="xy23/Neg xy230",fontsize=10,color="white",style="solid",shape="box"];537 -> 1255[label="",style="solid", color="burlywood", weight=9];
1255 -> 567[label="",style="solid", color="burlywood", weight=3];
538[label="LT == xy260",fontsize=16,color="burlywood",shape="box"];1256[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];538 -> 1256[label="",style="solid", color="burlywood", weight=9];
1256 -> 568[label="",style="solid", color="burlywood", weight=3];
1257[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];538 -> 1257[label="",style="solid", color="burlywood", weight=9];
1257 -> 569[label="",style="solid", color="burlywood", weight=3];
1258[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];538 -> 1258[label="",style="solid", color="burlywood", weight=9];
1258 -> 570[label="",style="solid", color="burlywood", weight=3];
539[label="EQ == xy260",fontsize=16,color="burlywood",shape="box"];1259[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];539 -> 1259[label="",style="solid", color="burlywood", weight=9];
1259 -> 571[label="",style="solid", color="burlywood", weight=3];
1260[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];539 -> 1260[label="",style="solid", color="burlywood", weight=9];
1260 -> 572[label="",style="solid", color="burlywood", weight=3];
1261[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];539 -> 1261[label="",style="solid", color="burlywood", weight=9];
1261 -> 573[label="",style="solid", color="burlywood", weight=3];
540[label="GT == xy260",fontsize=16,color="burlywood",shape="box"];1262[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];540 -> 1262[label="",style="solid", color="burlywood", weight=9];
1262 -> 574[label="",style="solid", color="burlywood", weight=3];
1263[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];540 -> 1263[label="",style="solid", color="burlywood", weight=9];
1263 -> 575[label="",style="solid", color="burlywood", weight=3];
1264[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];540 -> 1264[label="",style="solid", color="burlywood", weight=9];
1264 -> 576[label="",style="solid", color="burlywood", weight=3];
541[label="xy230 :% xy231 == xy260\n  Integral a",fontsize=16,color="burlywood",shape="box"];1265[label="xy260/xy2600 :% xy2601",fontsize=10,color="white",style="solid",shape="box"];541 -> 1265[label="",style="solid", color="burlywood", weight=9];
1265 -> 577[label="",style="solid", color="burlywood", weight=3];
542[label="(xy230,xy231,xy232) == xy260\n  Eq a  Eq b  Eq c",fontsize=16,color="burlywood",shape="box"];1266[label="xy260/(xy2600,xy2601,xy2602)",fontsize=10,color="white",style="solid",shape="box"];542 -> 1266[label="",style="solid", color="burlywood", weight=9];
1266 -> 578[label="",style="solid", color="burlywood", weight=3];
543[label="primEqDouble xy23 xy260",fontsize=16,color="burlywood",shape="box"];1267[label="xy23/Double xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];543 -> 1267[label="",style="solid", color="burlywood", weight=9];
1267 -> 579[label="",style="solid", color="burlywood", weight=3];
544[label="primEqFloat xy23 xy260",fontsize=16,color="burlywood",shape="box"];1268[label="xy23/Float xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];544 -> 1268[label="",style="solid", color="burlywood", weight=9];
1268 -> 580[label="",style="solid", color="burlywood", weight=3];
545[label="primEqChar xy23 xy260",fontsize=16,color="burlywood",shape="box"];1269[label="xy23/Char xy230",fontsize=10,color="white",style="solid",shape="box"];545 -> 1269[label="",style="solid", color="burlywood", weight=9];
1269 -> 581[label="",style="solid", color="burlywood", weight=3];
546[label="Nothing == xy260\n  Eq a",fontsize=16,color="burlywood",shape="box"];1270[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];546 -> 1270[label="",style="solid", color="burlywood", weight=9];
1270 -> 582[label="",style="solid", color="burlywood", weight=3];
1271[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];546 -> 1271[label="",style="solid", color="burlywood", weight=9];
1271 -> 583[label="",style="solid", color="burlywood", weight=3];
547[label="Just xy230 == xy260\n  Eq a",fontsize=16,color="burlywood",shape="box"];1272[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];547 -> 1272[label="",style="solid", color="burlywood", weight=9];
1272 -> 584[label="",style="solid", color="burlywood", weight=3];
1273[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];547 -> 1273[label="",style="solid", color="burlywood", weight=9];
1273 -> 585[label="",style="solid", color="burlywood", weight=3];
548[label="Left xy230 == xy260\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1274[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];548 -> 1274[label="",style="solid", color="burlywood", weight=9];
1274 -> 586[label="",style="solid", color="burlywood", weight=3];
1275[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];548 -> 1275[label="",style="solid", color="burlywood", weight=9];
1275 -> 587[label="",style="solid", color="burlywood", weight=3];
549[label="Right xy230 == xy260\n  Eq a  Eq b",fontsize=16,color="burlywood",shape="box"];1276[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];549 -> 1276[label="",style="solid", color="burlywood", weight=9];
1276 -> 588[label="",style="solid", color="burlywood", weight=3];
1277[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];549 -> 1277[label="",style="solid", color="burlywood", weight=9];
1277 -> 589[label="",style="solid", color="burlywood", weight=3];
550[label="() == xy260",fontsize=16,color="burlywood",shape="box"];1278[label="xy260/()",fontsize=10,color="white",style="solid",shape="box"];550 -> 1278[label="",style="solid", color="burlywood", weight=9];
1278 -> 590[label="",style="solid", color="burlywood", weight=3];
551[label="isPrefixOf (xy220 : xy221) (xy2610 : xy2611)\n  Eq a",fontsize=16,color="black",shape="box"];551 -> 591[label="",style="solid", color="black", weight=3];
552[label="isPrefixOf (xy220 : xy221) []\n  Eq a",fontsize=16,color="black",shape="box"];552 -> 592[label="",style="solid", color="black", weight=3];
553[label="True",fontsize=16,color="green",shape="box"];554[label="False",fontsize=16,color="green",shape="box"];555[label="xy39",fontsize=16,color="green",shape="box"];556[label="Integer xy230 == Integer xy2600",fontsize=16,color="black",shape="box"];556 -> 593[label="",style="solid", color="black", weight=3];
557[label="xy230 : xy231 == xy2600 : xy2601\n  Eq a",fontsize=16,color="black",shape="box"];557 -> 594[label="",style="solid", color="black", weight=3];
558[label="xy230 : xy231 == []\n  Eq a",fontsize=16,color="black",shape="box"];558 -> 595[label="",style="solid", color="black", weight=3];
559[label="[] == xy2600 : xy2601\n  Eq a",fontsize=16,color="black",shape="box"];559 -> 596[label="",style="solid", color="black", weight=3];
560[label="[] == []\n  Eq a",fontsize=16,color="black",shape="box"];560 -> 597[label="",style="solid", color="black", weight=3];
561[label="(xy230,xy231) == (xy2600,xy2601)\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];561 -> 598[label="",style="solid", color="black", weight=3];
562[label="False == False",fontsize=16,color="black",shape="box"];562 -> 599[label="",style="solid", color="black", weight=3];
563[label="False == True",fontsize=16,color="black",shape="box"];563 -> 600[label="",style="solid", color="black", weight=3];
564[label="True == False",fontsize=16,color="black",shape="box"];564 -> 601[label="",style="solid", color="black", weight=3];
565[label="True == True",fontsize=16,color="black",shape="box"];565 -> 602[label="",style="solid", color="black", weight=3];
566[label="primEqInt (Pos xy230) xy260",fontsize=16,color="burlywood",shape="box"];1279[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];566 -> 1279[label="",style="solid", color="burlywood", weight=9];
1279 -> 603[label="",style="solid", color="burlywood", weight=3];
1280[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];566 -> 1280[label="",style="solid", color="burlywood", weight=9];
1280 -> 604[label="",style="solid", color="burlywood", weight=3];
567[label="primEqInt (Neg xy230) xy260",fontsize=16,color="burlywood",shape="box"];1281[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];567 -> 1281[label="",style="solid", color="burlywood", weight=9];
1281 -> 605[label="",style="solid", color="burlywood", weight=3];
1282[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];567 -> 1282[label="",style="solid", color="burlywood", weight=9];
1282 -> 606[label="",style="solid", color="burlywood", weight=3];
568[label="LT == LT",fontsize=16,color="black",shape="box"];568 -> 607[label="",style="solid", color="black", weight=3];
569[label="LT == EQ",fontsize=16,color="black",shape="box"];569 -> 608[label="",style="solid", color="black", weight=3];
570[label="LT == GT",fontsize=16,color="black",shape="box"];570 -> 609[label="",style="solid", color="black", weight=3];
571[label="EQ == LT",fontsize=16,color="black",shape="box"];571 -> 610[label="",style="solid", color="black", weight=3];
572[label="EQ == EQ",fontsize=16,color="black",shape="box"];572 -> 611[label="",style="solid", color="black", weight=3];
573[label="EQ == GT",fontsize=16,color="black",shape="box"];573 -> 612[label="",style="solid", color="black", weight=3];
574[label="GT == LT",fontsize=16,color="black",shape="box"];574 -> 613[label="",style="solid", color="black", weight=3];
575[label="GT == EQ",fontsize=16,color="black",shape="box"];575 -> 614[label="",style="solid", color="black", weight=3];
576[label="GT == GT",fontsize=16,color="black",shape="box"];576 -> 615[label="",style="solid", color="black", weight=3];
577[label="xy230 :% xy231 == xy2600 :% xy2601\n  Integral a",fontsize=16,color="black",shape="box"];577 -> 616[label="",style="solid", color="black", weight=3];
578[label="(xy230,xy231,xy232) == (xy2600,xy2601,xy2602)\n  Eq a  Eq b  Eq c",fontsize=16,color="black",shape="box"];578 -> 617[label="",style="solid", color="black", weight=3];
579[label="primEqDouble (Double xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1283[label="xy260/Double xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];579 -> 1283[label="",style="solid", color="burlywood", weight=9];
1283 -> 618[label="",style="solid", color="burlywood", weight=3];
580[label="primEqFloat (Float xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1284[label="xy260/Float xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];580 -> 1284[label="",style="solid", color="burlywood", weight=9];
1284 -> 619[label="",style="solid", color="burlywood", weight=3];
581[label="primEqChar (Char xy230) xy260",fontsize=16,color="burlywood",shape="box"];1285[label="xy260/Char xy2600",fontsize=10,color="white",style="solid",shape="box"];581 -> 1285[label="",style="solid", color="burlywood", weight=9];
1285 -> 620[label="",style="solid", color="burlywood", weight=3];
582[label="Nothing == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];582 -> 621[label="",style="solid", color="black", weight=3];
583[label="Nothing == Just xy2600\n  Eq a",fontsize=16,color="black",shape="box"];583 -> 622[label="",style="solid", color="black", weight=3];
584[label="Just xy230 == Nothing\n  Eq a",fontsize=16,color="black",shape="box"];584 -> 623[label="",style="solid", color="black", weight=3];
585[label="Just xy230 == Just xy2600\n  Eq a",fontsize=16,color="black",shape="box"];585 -> 624[label="",style="solid", color="black", weight=3];
586[label="Left xy230 == Left xy2600\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];586 -> 625[label="",style="solid", color="black", weight=3];
587[label="Left xy230 == Right xy2600\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];587 -> 626[label="",style="solid", color="black", weight=3];
588[label="Right xy230 == Left xy2600\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];588 -> 627[label="",style="solid", color="black", weight=3];
589[label="Right xy230 == Right xy2600\n  Eq a  Eq b",fontsize=16,color="black",shape="box"];589 -> 628[label="",style="solid", color="black", weight=3];
590[label="() == ()",fontsize=16,color="black",shape="box"];590 -> 629[label="",style="solid", color="black", weight=3];
591 -> 508[label="",style="dashed", color="red", weight=0];
591[label="xy220 == xy2610 && isPrefixOf xy221 xy2611\n  Eq a",fontsize=16,color="magenta"];591 -> 630[label="",style="dashed", color="magenta", weight=3];
591 -> 631[label="",style="dashed", color="magenta", weight=3];
592[label="False",fontsize=16,color="green",shape="box"];593 -> 537[label="",style="dashed", color="red", weight=0];
593[label="primEqInt xy230 xy2600",fontsize=16,color="magenta"];593 -> 632[label="",style="dashed", color="magenta", weight=3];
593 -> 633[label="",style="dashed", color="magenta", weight=3];
594 -> 508[label="",style="dashed", color="red", weight=0];
594[label="xy230 == xy2600 && xy231 == xy2601\n  Eq a",fontsize=16,color="magenta"];594 -> 634[label="",style="dashed", color="magenta", weight=3];
594 -> 635[label="",style="dashed", color="magenta", weight=3];
595[label="False",fontsize=16,color="green",shape="box"];596[label="False",fontsize=16,color="green",shape="box"];597[label="True",fontsize=16,color="green",shape="box"];598 -> 508[label="",style="dashed", color="red", weight=0];
598[label="xy230 == xy2600 && xy231 == xy2601\n  Eq a  Eq b",fontsize=16,color="magenta"];598 -> 636[label="",style="dashed", color="magenta", weight=3];
598 -> 637[label="",style="dashed", color="magenta", weight=3];
599[label="True",fontsize=16,color="green",shape="box"];600[label="False",fontsize=16,color="green",shape="box"];601[label="False",fontsize=16,color="green",shape="box"];602[label="True",fontsize=16,color="green",shape="box"];603[label="primEqInt (Pos (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1290[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];603 -> 1290[label="",style="solid", color="burlywood", weight=9];
1290 -> 638[label="",style="solid", color="burlywood", weight=3];
1291[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];603 -> 1291[label="",style="solid", color="burlywood", weight=9];
1291 -> 639[label="",style="solid", color="burlywood", weight=3];
604[label="primEqInt (Pos Zero) xy260",fontsize=16,color="burlywood",shape="box"];1292[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];604 -> 1292[label="",style="solid", color="burlywood", weight=9];
1292 -> 640[label="",style="solid", color="burlywood", weight=3];
1293[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];604 -> 1293[label="",style="solid", color="burlywood", weight=9];
1293 -> 641[label="",style="solid", color="burlywood", weight=3];
605[label="primEqInt (Neg (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1294[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];605 -> 1294[label="",style="solid", color="burlywood", weight=9];
1294 -> 642[label="",style="solid", color="burlywood", weight=3];
1295[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];605 -> 1295[label="",style="solid", color="burlywood", weight=9];
1295 -> 643[label="",style="solid", color="burlywood", weight=3];
606[label="primEqInt (Neg Zero) xy260",fontsize=16,color="burlywood",shape="box"];1296[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];606 -> 1296[label="",style="solid", color="burlywood", weight=9];
1296 -> 644[label="",style="solid", color="burlywood", weight=3];
1297[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];606 -> 1297[label="",style="solid", color="burlywood", weight=9];
1297 -> 645[label="",style="solid", color="burlywood", weight=3];
607[label="True",fontsize=16,color="green",shape="box"];608[label="False",fontsize=16,color="green",shape="box"];609[label="False",fontsize=16,color="green",shape="box"];610[label="False",fontsize=16,color="green",shape="box"];611[label="True",fontsize=16,color="green",shape="box"];612[label="False",fontsize=16,color="green",shape="box"];613[label="False",fontsize=16,color="green",shape="box"];614[label="False",fontsize=16,color="green",shape="box"];615[label="True",fontsize=16,color="green",shape="box"];616 -> 508[label="",style="dashed", color="red", weight=0];
616[label="xy230 == xy2600 && xy231 == xy2601\n  Integral a",fontsize=16,color="magenta"];616 -> 646[label="",style="dashed", color="magenta", weight=3];
616 -> 647[label="",style="dashed", color="magenta", weight=3];
617 -> 508[label="",style="dashed", color="red", weight=0];
617[label="xy230 == xy2600 && xy231 == xy2601 && xy232 == xy2602\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];617 -> 648[label="",style="dashed", color="magenta", weight=3];
617 -> 649[label="",style="dashed", color="magenta", weight=3];
618[label="primEqDouble (Double xy230 xy231) (Double xy2600 xy2601)",fontsize=16,color="black",shape="box"];618 -> 650[label="",style="solid", color="black", weight=3];
619[label="primEqFloat (Float xy230 xy231) (Float xy2600 xy2601)",fontsize=16,color="black",shape="box"];619 -> 651[label="",style="solid", color="black", weight=3];
620[label="primEqChar (Char xy230) (Char xy2600)",fontsize=16,color="black",shape="box"];620 -> 652[label="",style="solid", color="black", weight=3];
621[label="True",fontsize=16,color="green",shape="box"];622[label="False",fontsize=16,color="green",shape="box"];623[label="False",fontsize=16,color="green",shape="box"];624[label="xy230 == xy2600\n  Eq a",fontsize=16,color="blue",shape="box"];1300[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1300[label="",style="solid", color="blue", weight=9];
1300 -> 653[label="",style="solid", color="blue", weight=3];
1301[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1301[label="",style="solid", color="blue", weight=9];
1301 -> 654[label="",style="solid", color="blue", weight=3];
1302[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1302[label="",style="solid", color="blue", weight=9];
1302 -> 655[label="",style="solid", color="blue", weight=3];
1303[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1303[label="",style="solid", color="blue", weight=9];
1303 -> 656[label="",style="solid", color="blue", weight=3];
1304[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1304[label="",style="solid", color="blue", weight=9];
1304 -> 657[label="",style="solid", color="blue", weight=3];
1305[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1305[label="",style="solid", color="blue", weight=9];
1305 -> 658[label="",style="solid", color="blue", weight=3];
1306[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1306[label="",style="solid", color="blue", weight=9];
1306 -> 659[label="",style="solid", color="blue", weight=3];
1307[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1307[label="",style="solid", color="blue", weight=9];
1307 -> 660[label="",style="solid", color="blue", weight=3];
1308[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1308[label="",style="solid", color="blue", weight=9];
1308 -> 661[label="",style="solid", color="blue", weight=3];
1309[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1309[label="",style="solid", color="blue", weight=9];
1309 -> 662[label="",style="solid", color="blue", weight=3];
1310[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1310[label="",style="solid", color="blue", weight=9];
1310 -> 663[label="",style="solid", color="blue", weight=3];
1311[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1311[label="",style="solid", color="blue", weight=9];
1311 -> 664[label="",style="solid", color="blue", weight=3];
1312[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1312[label="",style="solid", color="blue", weight=9];
1312 -> 665[label="",style="solid", color="blue", weight=3];
1313[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];624 -> 1313[label="",style="solid", color="blue", weight=9];
1313 -> 666[label="",style="solid", color="blue", weight=3];
625[label="xy230 == xy2600\n  Eq a",fontsize=16,color="blue",shape="box"];1314[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1314[label="",style="solid", color="blue", weight=9];
1314 -> 667[label="",style="solid", color="blue", weight=3];
1315[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1315[label="",style="solid", color="blue", weight=9];
1315 -> 668[label="",style="solid", color="blue", weight=3];
1316[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1316[label="",style="solid", color="blue", weight=9];
1316 -> 669[label="",style="solid", color="blue", weight=3];
1317[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1317[label="",style="solid", color="blue", weight=9];
1317 -> 670[label="",style="solid", color="blue", weight=3];
1318[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1318[label="",style="solid", color="blue", weight=9];
1318 -> 671[label="",style="solid", color="blue", weight=3];
1319[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1319[label="",style="solid", color="blue", weight=9];
1319 -> 672[label="",style="solid", color="blue", weight=3];
1320[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1320[label="",style="solid", color="blue", weight=9];
1320 -> 673[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"];625 -> 1321[label="",style="solid", color="blue", weight=9];
1321 -> 674[label="",style="solid", color="blue", weight=3];
1322[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1322[label="",style="solid", color="blue", weight=9];
1322 -> 675[label="",style="solid", color="blue", weight=3];
1323[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1323[label="",style="solid", color="blue", weight=9];
1323 -> 676[label="",style="solid", color="blue", weight=3];
1324[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1324[label="",style="solid", color="blue", weight=9];
1324 -> 677[label="",style="solid", color="blue", weight=3];
1325[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1325[label="",style="solid", color="blue", weight=9];
1325 -> 678[label="",style="solid", color="blue", weight=3];
1326[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1326[label="",style="solid", color="blue", weight=9];
1326 -> 679[label="",style="solid", color="blue", weight=3];
1327[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];625 -> 1327[label="",style="solid", color="blue", weight=9];
1327 -> 680[label="",style="solid", color="blue", weight=3];
626[label="False",fontsize=16,color="green",shape="box"];627[label="False",fontsize=16,color="green",shape="box"];628[label="xy230 == xy2600\n  Eq a",fontsize=16,color="blue",shape="box"];1328[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1328[label="",style="solid", color="blue", weight=9];
1328 -> 681[label="",style="solid", color="blue", weight=3];
1329[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1329[label="",style="solid", color="blue", weight=9];
1329 -> 682[label="",style="solid", color="blue", weight=3];
1330[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1330[label="",style="solid", color="blue", weight=9];
1330 -> 683[label="",style="solid", color="blue", weight=3];
1331[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1331[label="",style="solid", color="blue", weight=9];
1331 -> 684[label="",style="solid", color="blue", weight=3];
1332[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1332[label="",style="solid", color="blue", weight=9];
1332 -> 685[label="",style="solid", color="blue", weight=3];
1333[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1333[label="",style="solid", color="blue", weight=9];
1333 -> 686[label="",style="solid", color="blue", weight=3];
1334[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1334[label="",style="solid", color="blue", weight=9];
1334 -> 687[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"];628 -> 1335[label="",style="solid", color="blue", weight=9];
1335 -> 688[label="",style="solid", color="blue", weight=3];
1336[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1336[label="",style="solid", color="blue", weight=9];
1336 -> 689[label="",style="solid", color="blue", weight=3];
1337[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1337[label="",style="solid", color="blue", weight=9];
1337 -> 690[label="",style="solid", color="blue", weight=3];
1338[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1338[label="",style="solid", color="blue", weight=9];
1338 -> 691[label="",style="solid", color="blue", weight=3];
1339[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1339[label="",style="solid", color="blue", weight=9];
1339 -> 692[label="",style="solid", color="blue", weight=3];
1340[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1340[label="",style="solid", color="blue", weight=9];
1340 -> 693[label="",style="solid", color="blue", weight=3];
1341[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1341[label="",style="solid", color="blue", weight=9];
1341 -> 694[label="",style="solid", color="blue", weight=3];
629[label="True",fontsize=16,color="green",shape="box"];630[label="xy220 == xy2610\n  Eq a",fontsize=16,color="blue",shape="box"];1342[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1342[label="",style="solid", color="blue", weight=9];
1342 -> 695[label="",style="solid", color="blue", weight=3];
1343[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1343[label="",style="solid", color="blue", weight=9];
1343 -> 696[label="",style="solid", color="blue", weight=3];
1344[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1344[label="",style="solid", color="blue", weight=9];
1344 -> 697[label="",style="solid", color="blue", weight=3];
1345[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1345[label="",style="solid", color="blue", weight=9];
1345 -> 698[label="",style="solid", color="blue", weight=3];
1346[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1346[label="",style="solid", color="blue", weight=9];
1346 -> 699[label="",style="solid", color="blue", weight=3];
1347[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1347[label="",style="solid", color="blue", weight=9];
1347 -> 700[label="",style="solid", color="blue", weight=3];
1348[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1348[label="",style="solid", color="blue", weight=9];
1348 -> 701[label="",style="solid", color="blue", weight=3];
1349[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1349[label="",style="solid", color="blue", weight=9];
1349 -> 702[label="",style="solid", color="blue", weight=3];
1350[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1350[label="",style="solid", color="blue", weight=9];
1350 -> 703[label="",style="solid", color="blue", weight=3];
1351[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1351[label="",style="solid", color="blue", weight=9];
1351 -> 704[label="",style="solid", color="blue", weight=3];
1352[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1352[label="",style="solid", color="blue", weight=9];
1352 -> 705[label="",style="solid", color="blue", weight=3];
1353[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1353[label="",style="solid", color="blue", weight=9];
1353 -> 706[label="",style="solid", color="blue", weight=3];
1354[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1354[label="",style="solid", color="blue", weight=9];
1354 -> 707[label="",style="solid", color="blue", weight=3];
1355[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];630 -> 1355[label="",style="solid", color="blue", weight=9];
1355 -> 708[label="",style="solid", color="blue", weight=3];
631 -> 510[label="",style="dashed", color="red", weight=0];
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631 -> 710[label="",style="dashed", color="magenta", weight=3];
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1357 -> 711[label="",style="solid", color="blue", weight=3];
1358[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1358[label="",style="solid", color="blue", weight=9];
1358 -> 712[label="",style="solid", color="blue", weight=3];
1359[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1359[label="",style="solid", color="blue", weight=9];
1359 -> 713[label="",style="solid", color="blue", weight=3];
1360[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1360[label="",style="solid", color="blue", weight=9];
1360 -> 714[label="",style="solid", color="blue", weight=3];
1361[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1361[label="",style="solid", color="blue", weight=9];
1361 -> 715[label="",style="solid", color="blue", weight=3];
1362[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1362[label="",style="solid", color="blue", weight=9];
1362 -> 716[label="",style="solid", color="blue", weight=3];
1363[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1363[label="",style="solid", color="blue", weight=9];
1363 -> 717[label="",style="solid", color="blue", weight=3];
1364[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1364[label="",style="solid", color="blue", weight=9];
1364 -> 718[label="",style="solid", color="blue", weight=3];
1365[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1365[label="",style="solid", color="blue", weight=9];
1365 -> 719[label="",style="solid", color="blue", weight=3];
1366[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1366[label="",style="solid", color="blue", weight=9];
1366 -> 720[label="",style="solid", color="blue", weight=3];
1367[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1367[label="",style="solid", color="blue", weight=9];
1367 -> 721[label="",style="solid", color="blue", weight=3];
1368[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1368[label="",style="solid", color="blue", weight=9];
1368 -> 722[label="",style="solid", color="blue", weight=3];
1369[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1369[label="",style="solid", color="blue", weight=9];
1369 -> 723[label="",style="solid", color="blue", weight=3];
1370[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1370[label="",style="solid", color="blue", weight=9];
1370 -> 724[label="",style="solid", color="blue", weight=3];
635 -> 514[label="",style="dashed", color="red", weight=0];
635[label="xy231 == xy2601\n  Eq a",fontsize=16,color="magenta"];635 -> 725[label="",style="dashed", color="magenta", weight=3];
635 -> 726[label="",style="dashed", color="magenta", weight=3];
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1372 -> 727[label="",style="solid", color="blue", weight=3];
1373[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1373[label="",style="solid", color="blue", weight=9];
1373 -> 728[label="",style="solid", color="blue", weight=3];
1374[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1374[label="",style="solid", color="blue", weight=9];
1374 -> 729[label="",style="solid", color="blue", weight=3];
1375[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1375[label="",style="solid", color="blue", weight=9];
1375 -> 730[label="",style="solid", color="blue", weight=3];
1376[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1376[label="",style="solid", color="blue", weight=9];
1376 -> 731[label="",style="solid", color="blue", weight=3];
1377[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1377[label="",style="solid", color="blue", weight=9];
1377 -> 732[label="",style="solid", color="blue", weight=3];
1378[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1378[label="",style="solid", color="blue", weight=9];
1378 -> 733[label="",style="solid", color="blue", weight=3];
1379[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1379[label="",style="solid", color="blue", weight=9];
1379 -> 734[label="",style="solid", color="blue", weight=3];
1380[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1380[label="",style="solid", color="blue", weight=9];
1380 -> 735[label="",style="solid", color="blue", weight=3];
1381[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1381[label="",style="solid", color="blue", weight=9];
1381 -> 736[label="",style="solid", color="blue", weight=3];
1382[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1382[label="",style="solid", color="blue", weight=9];
1382 -> 737[label="",style="solid", color="blue", weight=3];
1383[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1383[label="",style="solid", color="blue", weight=9];
1383 -> 738[label="",style="solid", color="blue", weight=3];
1384[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1384[label="",style="solid", color="blue", weight=9];
1384 -> 739[label="",style="solid", color="blue", weight=3];
1385[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1385[label="",style="solid", color="blue", weight=9];
1385 -> 740[label="",style="solid", color="blue", weight=3];
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1386 -> 741[label="",style="solid", color="blue", weight=3];
1387[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1387[label="",style="solid", color="blue", weight=9];
1387 -> 742[label="",style="solid", color="blue", weight=3];
1388[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1388[label="",style="solid", color="blue", weight=9];
1388 -> 743[label="",style="solid", color="blue", weight=3];
1389[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1389[label="",style="solid", color="blue", weight=9];
1389 -> 744[label="",style="solid", color="blue", weight=3];
1390[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1390[label="",style="solid", color="blue", weight=9];
1390 -> 745[label="",style="solid", color="blue", weight=3];
1391[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1391[label="",style="solid", color="blue", weight=9];
1391 -> 746[label="",style="solid", color="blue", weight=3];
1392[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1392[label="",style="solid", color="blue", weight=9];
1392 -> 747[label="",style="solid", color="blue", weight=3];
1393[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1393[label="",style="solid", color="blue", weight=9];
1393 -> 748[label="",style="solid", color="blue", weight=3];
1394[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1394[label="",style="solid", color="blue", weight=9];
1394 -> 749[label="",style="solid", color="blue", weight=3];
1395[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1395[label="",style="solid", color="blue", weight=9];
1395 -> 750[label="",style="solid", color="blue", weight=3];
1396[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1396[label="",style="solid", color="blue", weight=9];
1396 -> 751[label="",style="solid", color="blue", weight=3];
1397[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1397[label="",style="solid", color="blue", weight=9];
1397 -> 752[label="",style="solid", color="blue", weight=3];
1398[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1398[label="",style="solid", color="blue", weight=9];
1398 -> 753[label="",style="solid", color="blue", weight=3];
1399[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];637 -> 1399[label="",style="solid", color="blue", weight=9];
1399 -> 754[label="",style="solid", color="blue", weight=3];
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1401[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];638 -> 1401[label="",style="solid", color="burlywood", weight=9];
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1403[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];640 -> 1403[label="",style="solid", color="burlywood", weight=9];
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1409[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];644 -> 1409[label="",style="solid", color="burlywood", weight=9];
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1052[label="xy231 == xy2601",fontsize=16,color="magenta"];1052 -> 1108[label="",style="dashed", color="magenta", weight=3];
1052 -> 1109[label="",style="dashed", color="magenta", weight=3];
1053 -> 513[label="",style="dashed", color="red", weight=0];
1053[label="xy232 == xy2602",fontsize=16,color="magenta"];1053 -> 1110[label="",style="dashed", color="magenta", weight=3];
1053 -> 1111[label="",style="dashed", color="magenta", weight=3];
1054 -> 514[label="",style="dashed", color="red", weight=0];
1054[label="xy232 == xy2602\n  Eq a",fontsize=16,color="magenta"];1054 -> 1112[label="",style="dashed", color="magenta", weight=3];
1054 -> 1113[label="",style="dashed", color="magenta", weight=3];
1055 -> 515[label="",style="dashed", color="red", weight=0];
1055[label="xy232 == xy2602\n  Eq a  Eq b",fontsize=16,color="magenta"];1055 -> 1114[label="",style="dashed", color="magenta", weight=3];
1055 -> 1115[label="",style="dashed", color="magenta", weight=3];
1056 -> 516[label="",style="dashed", color="red", weight=0];
1056[label="xy232 == xy2602",fontsize=16,color="magenta"];1056 -> 1116[label="",style="dashed", color="magenta", weight=3];
1056 -> 1117[label="",style="dashed", color="magenta", weight=3];
1057 -> 517[label="",style="dashed", color="red", weight=0];
1057[label="xy232 == xy2602",fontsize=16,color="magenta"];1057 -> 1118[label="",style="dashed", color="magenta", weight=3];
1057 -> 1119[label="",style="dashed", color="magenta", weight=3];
1058 -> 518[label="",style="dashed", color="red", weight=0];
1058[label="xy232 == xy2602",fontsize=16,color="magenta"];1058 -> 1120[label="",style="dashed", color="magenta", weight=3];
1058 -> 1121[label="",style="dashed", color="magenta", weight=3];
1059 -> 519[label="",style="dashed", color="red", weight=0];
1059[label="xy232 == xy2602\n  Integral a",fontsize=16,color="magenta"];1059 -> 1122[label="",style="dashed", color="magenta", weight=3];
1059 -> 1123[label="",style="dashed", color="magenta", weight=3];
1060 -> 520[label="",style="dashed", color="red", weight=0];
1060[label="xy232 == xy2602\n  Eq a  Eq b  Eq c",fontsize=16,color="magenta"];1060 -> 1124[label="",style="dashed", color="magenta", weight=3];
1060 -> 1125[label="",style="dashed", color="magenta", weight=3];
1061 -> 521[label="",style="dashed", color="red", weight=0];
1061[label="xy232 == xy2602",fontsize=16,color="magenta"];1061 -> 1126[label="",style="dashed", color="magenta", weight=3];
1061 -> 1127[label="",style="dashed", color="magenta", weight=3];
1062 -> 522[label="",style="dashed", color="red", weight=0];
1062[label="xy232 == xy2602",fontsize=16,color="magenta"];1062 -> 1128[label="",style="dashed", color="magenta", weight=3];
1062 -> 1129[label="",style="dashed", color="magenta", weight=3];
1063 -> 523[label="",style="dashed", color="red", weight=0];
1063[label="xy232 == xy2602",fontsize=16,color="magenta"];1063 -> 1130[label="",style="dashed", color="magenta", weight=3];
1063 -> 1131[label="",style="dashed", color="magenta", weight=3];
1064 -> 524[label="",style="dashed", color="red", weight=0];
1064[label="xy232 == xy2602\n  Eq a",fontsize=16,color="magenta"];1064 -> 1132[label="",style="dashed", color="magenta", weight=3];
1064 -> 1133[label="",style="dashed", color="magenta", weight=3];
1065 -> 525[label="",style="dashed", color="red", weight=0];
1065[label="xy232 == xy2602\n  Eq a  Eq b",fontsize=16,color="magenta"];1065 -> 1134[label="",style="dashed", color="magenta", weight=3];
1065 -> 1135[label="",style="dashed", color="magenta", weight=3];
1066 -> 526[label="",style="dashed", color="red", weight=0];
1066[label="xy232 == xy2602",fontsize=16,color="magenta"];1066 -> 1136[label="",style="dashed", color="magenta", weight=3];
1066 -> 1137[label="",style="dashed", color="magenta", weight=3];
1067[label="primMulInt xy231 xy2601",fontsize=16,color="burlywood",shape="box"];1616[label="xy231/Pos xy2310",fontsize=10,color="white",style="solid",shape="box"];1067 -> 1616[label="",style="solid", color="burlywood", weight=9];
1616 -> 1138[label="",style="solid", color="burlywood", weight=3];
1617[label="xy231/Neg xy2310",fontsize=10,color="white",style="solid",shape="box"];1067 -> 1617[label="",style="solid", color="burlywood", weight=9];
1617 -> 1139[label="",style="solid", color="burlywood", weight=3];
1068[label="xy2600",fontsize=16,color="green",shape="box"];1069[label="xy230",fontsize=16,color="green",shape="box"];1070[label="xy2601",fontsize=16,color="green",shape="box"];1071[label="xy231",fontsize=16,color="green",shape="box"];1072[label="xy2600",fontsize=16,color="green",shape="box"];1073[label="xy230",fontsize=16,color="green",shape="box"];1074[label="primEqNat (Succ xy2300) (Succ xy26000)",fontsize=16,color="black",shape="box"];1074 -> 1140[label="",style="solid", color="black", weight=3];
1075[label="primEqNat (Succ xy2300) Zero",fontsize=16,color="black",shape="box"];1075 -> 1141[label="",style="solid", color="black", weight=3];
1076[label="primEqNat Zero (Succ xy26000)",fontsize=16,color="black",shape="box"];1076 -> 1142[label="",style="solid", color="black", weight=3];
1077[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1077 -> 1143[label="",style="solid", color="black", weight=3];
1078[label="xy2300",fontsize=16,color="green",shape="box"];1079[label="xy26000",fontsize=16,color="green",shape="box"];1080[label="xy2300",fontsize=16,color="green",shape="box"];1081[label="xy26000",fontsize=16,color="green",shape="box"];1082[label="xy2601",fontsize=16,color="green",shape="box"];1083[label="xy231",fontsize=16,color="green",shape="box"];1084[label="xy2601\n  Eq a",fontsize=16,color="green",shape="box"];1085[label="xy231\n  Eq a",fontsize=16,color="green",shape="box"];1086[label="xy2601\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1087[label="xy231\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1088[label="xy2601",fontsize=16,color="green",shape="box"];1089[label="xy231",fontsize=16,color="green",shape="box"];1090[label="xy2601",fontsize=16,color="green",shape="box"];1091[label="xy231",fontsize=16,color="green",shape="box"];1092[label="xy2601",fontsize=16,color="green",shape="box"];1093[label="xy231",fontsize=16,color="green",shape="box"];1094[label="xy2601\n  Integral a",fontsize=16,color="green",shape="box"];1095[label="xy231\n  Integral a",fontsize=16,color="green",shape="box"];1096[label="xy2601\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];1097[label="xy231\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];1098[label="xy2601",fontsize=16,color="green",shape="box"];1099[label="xy231",fontsize=16,color="green",shape="box"];1100[label="xy2601",fontsize=16,color="green",shape="box"];1101[label="xy231",fontsize=16,color="green",shape="box"];1102[label="xy2601",fontsize=16,color="green",shape="box"];1103[label="xy231",fontsize=16,color="green",shape="box"];1104[label="xy2601\n  Eq a",fontsize=16,color="green",shape="box"];1105[label="xy231\n  Eq a",fontsize=16,color="green",shape="box"];1106[label="xy2601\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1107[label="xy231\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1108[label="xy2601",fontsize=16,color="green",shape="box"];1109[label="xy231",fontsize=16,color="green",shape="box"];1110[label="xy2602",fontsize=16,color="green",shape="box"];1111[label="xy232",fontsize=16,color="green",shape="box"];1112[label="xy2602\n  Eq a",fontsize=16,color="green",shape="box"];1113[label="xy232\n  Eq a",fontsize=16,color="green",shape="box"];1114[label="xy2602\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1115[label="xy232\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1116[label="xy2602",fontsize=16,color="green",shape="box"];1117[label="xy232",fontsize=16,color="green",shape="box"];1118[label="xy2602",fontsize=16,color="green",shape="box"];1119[label="xy232",fontsize=16,color="green",shape="box"];1120[label="xy2602",fontsize=16,color="green",shape="box"];1121[label="xy232",fontsize=16,color="green",shape="box"];1122[label="xy2602\n  Integral a",fontsize=16,color="green",shape="box"];1123[label="xy232\n  Integral a",fontsize=16,color="green",shape="box"];1124[label="xy2602\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];1125[label="xy232\n  Eq a  Eq b  Eq c",fontsize=16,color="green",shape="box"];1126[label="xy2602",fontsize=16,color="green",shape="box"];1127[label="xy232",fontsize=16,color="green",shape="box"];1128[label="xy2602",fontsize=16,color="green",shape="box"];1129[label="xy232",fontsize=16,color="green",shape="box"];1130[label="xy2602",fontsize=16,color="green",shape="box"];1131[label="xy232",fontsize=16,color="green",shape="box"];1132[label="xy2602\n  Eq a",fontsize=16,color="green",shape="box"];1133[label="xy232\n  Eq a",fontsize=16,color="green",shape="box"];1134[label="xy2602\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1135[label="xy232\n  Eq a  Eq b",fontsize=16,color="green",shape="box"];1136[label="xy2602",fontsize=16,color="green",shape="box"];1137[label="xy232",fontsize=16,color="green",shape="box"];1138[label="primMulInt (Pos xy2310) xy2601",fontsize=16,color="burlywood",shape="box"];1618[label="xy2601/Pos xy26010",fontsize=10,color="white",style="solid",shape="box"];1138 -> 1618[label="",style="solid", color="burlywood", weight=9];
1618 -> 1144[label="",style="solid", color="burlywood", weight=3];
1619[label="xy2601/Neg xy26010",fontsize=10,color="white",style="solid",shape="box"];1138 -> 1619[label="",style="solid", color="burlywood", weight=9];
1619 -> 1145[label="",style="solid", color="burlywood", weight=3];
1139[label="primMulInt (Neg xy2310) xy2601",fontsize=16,color="burlywood",shape="box"];1620[label="xy2601/Pos xy26010",fontsize=10,color="white",style="solid",shape="box"];1139 -> 1620[label="",style="solid", color="burlywood", weight=9];
1620 -> 1146[label="",style="solid", color="burlywood", weight=3];
1621[label="xy2601/Neg xy26010",fontsize=10,color="white",style="solid",shape="box"];1139 -> 1621[label="",style="solid", color="burlywood", weight=9];
1621 -> 1147[label="",style="solid", color="burlywood", weight=3];
1140 -> 652[label="",style="dashed", color="red", weight=0];
1140[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1140 -> 1148[label="",style="dashed", color="magenta", weight=3];
1140 -> 1149[label="",style="dashed", color="magenta", weight=3];
1141[label="False",fontsize=16,color="green",shape="box"];1142[label="False",fontsize=16,color="green",shape="box"];1143[label="True",fontsize=16,color="green",shape="box"];1144[label="primMulInt (Pos xy2310) (Pos xy26010)",fontsize=16,color="black",shape="box"];1144 -> 1150[label="",style="solid", color="black", weight=3];
1145[label="primMulInt (Pos xy2310) (Neg xy26010)",fontsize=16,color="black",shape="box"];1145 -> 1151[label="",style="solid", color="black", weight=3];
1146[label="primMulInt (Neg xy2310) (Pos xy26010)",fontsize=16,color="black",shape="box"];1146 -> 1152[label="",style="solid", color="black", weight=3];
1147[label="primMulInt (Neg xy2310) (Neg xy26010)",fontsize=16,color="black",shape="box"];1147 -> 1153[label="",style="solid", color="black", weight=3];
1148[label="xy2300",fontsize=16,color="green",shape="box"];1149[label="xy26000",fontsize=16,color="green",shape="box"];1150[label="Pos (primMulNat xy2310 xy26010)",fontsize=16,color="green",shape="box"];1150 -> 1154[label="",style="dashed", color="green", weight=3];
1151[label="Neg (primMulNat xy2310 xy26010)",fontsize=16,color="green",shape="box"];1151 -> 1155[label="",style="dashed", color="green", weight=3];
1152[label="Neg (primMulNat xy2310 xy26010)",fontsize=16,color="green",shape="box"];1152 -> 1156[label="",style="dashed", color="green", weight=3];
1153[label="Pos (primMulNat xy2310 xy26010)",fontsize=16,color="green",shape="box"];1153 -> 1157[label="",style="dashed", color="green", weight=3];
1154[label="primMulNat xy2310 xy26010",fontsize=16,color="burlywood",shape="triangle"];1623[label="xy2310/Succ xy23100",fontsize=10,color="white",style="solid",shape="box"];1154 -> 1623[label="",style="solid", color="burlywood", weight=9];
1623 -> 1158[label="",style="solid", color="burlywood", weight=3];
1624[label="xy2310/Zero",fontsize=10,color="white",style="solid",shape="box"];1154 -> 1624[label="",style="solid", color="burlywood", weight=9];
1624 -> 1159[label="",style="solid", color="burlywood", weight=3];
1155 -> 1154[label="",style="dashed", color="red", weight=0];
1155[label="primMulNat xy2310 xy26010",fontsize=16,color="magenta"];1155 -> 1160[label="",style="dashed", color="magenta", weight=3];
1156 -> 1154[label="",style="dashed", color="red", weight=0];
1156[label="primMulNat xy2310 xy26010",fontsize=16,color="magenta"];1156 -> 1161[label="",style="dashed", color="magenta", weight=3];
1157 -> 1154[label="",style="dashed", color="red", weight=0];
1157[label="primMulNat xy2310 xy26010",fontsize=16,color="magenta"];1157 -> 1162[label="",style="dashed", color="magenta", weight=3];
1157 -> 1163[label="",style="dashed", color="magenta", weight=3];
1158[label="primMulNat (Succ xy23100) xy26010",fontsize=16,color="burlywood",shape="box"];1628[label="xy26010/Succ xy260100",fontsize=10,color="white",style="solid",shape="box"];1158 -> 1628[label="",style="solid", color="burlywood", weight=9];
1628 -> 1164[label="",style="solid", color="burlywood", weight=3];
1629[label="xy26010/Zero",fontsize=10,color="white",style="solid",shape="box"];1158 -> 1629[label="",style="solid", color="burlywood", weight=9];
1629 -> 1165[label="",style="solid", color="burlywood", weight=3];
1159[label="primMulNat Zero xy26010",fontsize=16,color="burlywood",shape="box"];1630[label="xy26010/Succ xy260100",fontsize=10,color="white",style="solid",shape="box"];1159 -> 1630[label="",style="solid", color="burlywood", weight=9];
1630 -> 1166[label="",style="solid", color="burlywood", weight=3];
1631[label="xy26010/Zero",fontsize=10,color="white",style="solid",shape="box"];1159 -> 1631[label="",style="solid", color="burlywood", weight=9];
1631 -> 1167[label="",style="solid", color="burlywood", weight=3];
1160[label="xy26010",fontsize=16,color="green",shape="box"];1161[label="xy2310",fontsize=16,color="green",shape="box"];1162[label="xy2310",fontsize=16,color="green",shape="box"];1163[label="xy26010",fontsize=16,color="green",shape="box"];1164[label="primMulNat (Succ xy23100) (Succ xy260100)",fontsize=16,color="black",shape="box"];1164 -> 1168[label="",style="solid", color="black", weight=3];
1165[label="primMulNat (Succ xy23100) Zero",fontsize=16,color="black",shape="box"];1165 -> 1169[label="",style="solid", color="black", weight=3];
1166[label="primMulNat Zero (Succ xy260100)",fontsize=16,color="black",shape="box"];1166 -> 1170[label="",style="solid", color="black", weight=3];
1167[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1167 -> 1171[label="",style="solid", color="black", weight=3];
1168 -> 1172[label="",style="dashed", color="red", weight=0];
1168[label="primPlusNat (primMulNat xy23100 (Succ xy260100)) (Succ xy260100)",fontsize=16,color="magenta"];1168 -> 1173[label="",style="dashed", color="magenta", weight=3];
1169[label="Zero",fontsize=16,color="green",shape="box"];1170[label="Zero",fontsize=16,color="green",shape="box"];1171[label="Zero",fontsize=16,color="green",shape="box"];1173 -> 1154[label="",style="dashed", color="red", weight=0];
1173[label="primMulNat xy23100 (Succ xy260100)",fontsize=16,color="magenta"];1173 -> 1174[label="",style="dashed", color="magenta", weight=3];
1173 -> 1175[label="",style="dashed", color="magenta", weight=3];
1172[label="primPlusNat xy40 (Succ xy260100)",fontsize=16,color="burlywood",shape="triangle"];1634[label="xy40/Succ xy400",fontsize=10,color="white",style="solid",shape="box"];1172 -> 1634[label="",style="solid", color="burlywood", weight=9];
1634 -> 1176[label="",style="solid", color="burlywood", weight=3];
1635[label="xy40/Zero",fontsize=10,color="white",style="solid",shape="box"];1172 -> 1635[label="",style="solid", color="burlywood", weight=9];
1635 -> 1177[label="",style="solid", color="burlywood", weight=3];
1174[label="xy23100",fontsize=16,color="green",shape="box"];1175[label="Succ xy260100",fontsize=16,color="green",shape="box"];1176[label="primPlusNat (Succ xy400) (Succ xy260100)",fontsize=16,color="black",shape="box"];1176 -> 1178[label="",style="solid", color="black", weight=3];
1177[label="primPlusNat Zero (Succ xy260100)",fontsize=16,color="black",shape="box"];1177 -> 1179[label="",style="solid", color="black", weight=3];
1178[label="Succ (Succ (primPlusNat xy400 xy260100))",fontsize=16,color="green",shape="box"];1178 -> 1180[label="",style="dashed", color="green", weight=3];
1179[label="Succ xy260100",fontsize=16,color="green",shape="box"];1180[label="primPlusNat xy400 xy260100",fontsize=16,color="burlywood",shape="triangle"];1636[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];1180 -> 1636[label="",style="solid", color="burlywood", weight=9];
1636 -> 1181[label="",style="solid", color="burlywood", weight=3];
1637[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];1180 -> 1637[label="",style="solid", color="burlywood", weight=9];
1637 -> 1182[label="",style="solid", color="burlywood", weight=3];
1181[label="primPlusNat (Succ xy4000) xy260100",fontsize=16,color="burlywood",shape="box"];1638[label="xy260100/Succ xy2601000",fontsize=10,color="white",style="solid",shape="box"];1181 -> 1638[label="",style="solid", color="burlywood", weight=9];
1638 -> 1183[label="",style="solid", color="burlywood", weight=3];
1639[label="xy260100/Zero",fontsize=10,color="white",style="solid",shape="box"];1181 -> 1639[label="",style="solid", color="burlywood", weight=9];
1639 -> 1184[label="",style="solid", color="burlywood", weight=3];
1182[label="primPlusNat Zero xy260100",fontsize=16,color="burlywood",shape="box"];1640[label="xy260100/Succ xy2601000",fontsize=10,color="white",style="solid",shape="box"];1182 -> 1640[label="",style="solid", color="burlywood", weight=9];
1640 -> 1185[label="",style="solid", color="burlywood", weight=3];
1641[label="xy260100/Zero",fontsize=10,color="white",style="solid",shape="box"];1182 -> 1641[label="",style="solid", color="burlywood", weight=9];
1641 -> 1186[label="",style="solid", color="burlywood", weight=3];
1183[label="primPlusNat (Succ xy4000) (Succ xy2601000)",fontsize=16,color="black",shape="box"];1183 -> 1187[label="",style="solid", color="black", weight=3];
1184[label="primPlusNat (Succ xy4000) Zero",fontsize=16,color="black",shape="box"];1184 -> 1188[label="",style="solid", color="black", weight=3];
1185[label="primPlusNat Zero (Succ xy2601000)",fontsize=16,color="black",shape="box"];1185 -> 1189[label="",style="solid", color="black", weight=3];
1186[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1186 -> 1190[label="",style="solid", color="black", weight=3];
1187[label="Succ (Succ (primPlusNat xy4000 xy2601000))",fontsize=16,color="green",shape="box"];1187 -> 1191[label="",style="dashed", color="green", weight=3];
1188[label="Succ xy4000",fontsize=16,color="green",shape="box"];1189[label="Succ xy2601000",fontsize=16,color="green",shape="box"];1190[label="Zero",fontsize=16,color="green",shape="box"];1191 -> 1180[label="",style="dashed", color="red", weight=0];
1191[label="primPlusNat xy4000 xy2601000",fontsize=16,color="magenta"];1191 -> 1192[label="",style="dashed", color="magenta", weight=3];
1191 -> 1193[label="",style="dashed", color="magenta", weight=3];
1192[label="xy2601000",fontsize=16,color="green",shape="box"];1193[label="xy4000",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primPlusNat(Succ(xy4000), Succ(xy2601000)) → new_primPlusNat(xy4000, xy2601000)

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(xy4000), Succ(xy2601000)) → new_primPlusNat(xy4000, xy2601000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primMulNat(Succ(xy23100), Succ(xy260100)) → new_primMulNat(xy23100, Succ(xy260100))

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

new_primMulNat(Succ(xy23100), Succ(xy260100)) → new_primMulNat(xy23100, Succ(xy260100))
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_primEqNat(Succ(xy2300), Succ(xy26000)) → new_primEqNat(xy2300, xy26000)

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

new_primEqNat(Succ(xy2300), Succ(xy26000)) → new_primEqNat(xy2300, xy26000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

              ↳ QDP

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

new_esEs2(Just(xy230), Just(xy2600), app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(xy230, xy2600, bbb, bbc, bbd)
new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_[], bdc)) → new_esEs(xy230, xy2600, bdc)
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, bb), bc)) → new_esEs0(xy230, xy2600, bb, bc)
new_esEs2(Just(xy230), Just(xy2600), app(ty_[], bag)) → new_esEs(xy230, xy2600, bag)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(app(app(ty_@3, gh), ha), hb), fb) → new_esEs1(xy231, xy2601, gh, ha, hb)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, dd), de), cd) → new_esEs3(xy230, xy2600, dd, de)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(app(ty_Either, hd), he), fb) → new_esEs3(xy231, xy2601, hd, he)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(app(ty_Either, bae), baf)) → new_esEs3(xy232, xy2602, bae, baf)
new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_Either, beb), bec)) → new_esEs3(xy230, xy2600, beb, bec)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(app(app(ty_@3, eb), ec), ed)) → new_esEs1(xy231, xy2601, eb, ec, ed)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(app(app(ty_@3, baa), bab), bac)) → new_esEs1(xy232, xy2602, baa, bab, bac)
new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs1(xy230, xy2600, bdf, bdg, bdh)
new_esEs3(Left(xy230), Left(xy2600), app(app(app(ty_@3, bcd), bce), bcf), bca) → new_esEs1(xy230, xy2600, bcd, bce, bcf)
new_esEs3(Left(xy230), Left(xy2600), app(ty_[], bbh), bca) → new_esEs(xy230, xy2600, bbh)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(app(ty_@2, hg), hh)) → new_esEs0(xy232, xy2602, hg, hh)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(app(ty_Either, ef), eg)) → new_esEs3(xy231, xy2601, ef, eg)
new_esEs2(Just(xy230), Just(xy2600), app(ty_Maybe, bbe)) → new_esEs2(xy230, xy2600, bbe)
new_esEs3(Left(xy230), Left(xy2600), app(app(ty_Either, bch), bda), bca) → new_esEs3(xy230, xy2600, bch, bda)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, fc), fd), fa, fb) → new_esEs0(xy230, xy2600, fc, fd)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(ty_[], dg)) → new_esEs(xy231, xy2601, dg)
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bg)) → new_esEs2(xy230, xy2600, bg)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, ff), fg), fh), fa, fb) → new_esEs1(xy230, xy2600, ff, fg, fh)
new_esEs3(Left(xy230), Left(xy2600), app(ty_Maybe, bcg), bca) → new_esEs2(xy230, xy2600, bcg)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(ty_Maybe, ee)) → new_esEs2(xy231, xy2601, ee)
new_esEs(:(xy230, xy231), :(xy2600, xy2601), cb) → new_esEs(xy231, xy2601, cb)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(ty_Maybe, hc), fb) → new_esEs2(xy231, xy2601, hc)
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(xy230, xy2600, bd, be, bf)
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bh), ca)) → new_esEs3(xy230, xy2600, bh, ca)
new_esEs3(Left(xy230), Left(xy2600), app(app(ty_@2, bcb), bcc), bca) → new_esEs0(xy230, xy2600, bcb, bcc)
new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_@2, bdd), bde)) → new_esEs0(xy230, xy2600, bdd, bde)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, dc), cd) → new_esEs2(xy230, xy2600, dc)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], eh), fa, fb) → new_esEs(xy230, xy2600, eh)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(ty_Maybe, bad)) → new_esEs2(xy232, xy2602, bad)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, ce), cf), cd) → new_esEs0(xy230, xy2600, ce, cf)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, ga), fa, fb) → new_esEs2(xy230, xy2600, ga)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], cc), cd) → new_esEs(xy230, xy2600, cc)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, gb), gc), fa, fb) → new_esEs3(xy230, xy2600, gb, gc)
new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_Maybe, bea)) → new_esEs2(xy230, xy2600, bea)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, cg), da), db), cd) → new_esEs1(xy230, xy2600, cg, da, db)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(app(ty_@2, gf), gg), fb) → new_esEs0(xy231, xy2601, gf, gg)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(ty_[], hf)) → new_esEs(xy232, xy2602, hf)
new_esEs2(Just(xy230), Just(xy2600), app(app(ty_Either, bbf), bbg)) → new_esEs3(xy230, xy2600, bbf, bbg)
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(app(ty_@2, dh), ea)) → new_esEs0(xy231, xy2601, dh, ea)
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(ty_[], ge), fb) → new_esEs(xy231, xy2601, ge)
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], ba)) → new_esEs(xy230, xy2600, ba)
new_esEs2(Just(xy230), Just(xy2600), app(app(ty_@2, bah), bba)) → new_esEs0(xy230, xy2600, bah, bba)

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

new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bg)) → new_esEs2(xy230, xy2600, bg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bh), ca)) → new_esEs3(xy230, xy2600, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(Just(xy230), Just(xy2600), app(ty_Maybe, bbe)) → new_esEs2(xy230, xy2600, bbe)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, bb), bc)) → new_esEs0(xy230, xy2600, bb, bc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(xy230, xy2600, bd, be, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs2(Just(xy230), Just(xy2600), app(app(ty_Either, bbf), bbg)) → new_esEs3(xy230, xy2600, bbf, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(Just(xy230), Just(xy2600), app(ty_[], bag)) → new_esEs(xy230, xy2600, bag)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs2(Just(xy230), Just(xy2600), app(app(ty_@2, bah), bba)) → new_esEs0(xy230, xy2600, bah, bba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs2(Just(xy230), Just(xy2600), app(app(app(ty_@3, bbb), bbc), bbd)) → new_esEs1(xy230, xy2600, bbb, bbc, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(ty_Maybe, hc), fb) → new_esEs2(xy231, xy2601, hc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(ty_Maybe, bad)) → new_esEs2(xy232, xy2602, bad)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, ga), fa, fb) → new_esEs2(xy230, xy2600, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(app(ty_Either, hd), he), fb) → new_esEs3(xy231, xy2601, hd, he)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(app(ty_Either, bae), baf)) → new_esEs3(xy232, xy2602, bae, baf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, gb), gc), fa, fb) → new_esEs3(xy230, xy2600, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], eh), fa, fb) → new_esEs(xy230, xy2600, eh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(ty_[], hf)) → new_esEs(xy232, xy2602, hf)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(ty_[], ge), fb) → new_esEs(xy231, xy2601, ge)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(app(ty_@2, hg), hh)) → new_esEs0(xy232, xy2602, hg, hh)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, fc), fd), fa, fb) → new_esEs0(xy230, xy2600, fc, fd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(app(ty_@2, gf), gg), fb) → new_esEs0(xy231, xy2601, gf, gg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, app(app(app(ty_@3, gh), ha), hb), fb) → new_esEs1(xy231, xy2601, gh, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gd, fa, app(app(app(ty_@3, baa), bab), bac)) → new_esEs1(xy232, xy2602, baa, bab, bac)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
new_esEs1(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, ff), fg), fh), fa, fb) → new_esEs1(xy230, xy2600, ff, fg, fh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(ty_Maybe, ee)) → new_esEs2(xy231, xy2601, ee)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, dc), cd) → new_esEs2(xy230, xy2600, dc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Left(xy230), Left(xy2600), app(ty_Maybe, bcg), bca) → new_esEs2(xy230, xy2600, bcg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_Maybe, bea)) → new_esEs2(xy230, xy2600, bea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs(:(xy230, xy231), :(xy2600, xy2601), cb) → new_esEs(xy231, xy2601, cb)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], ba)) → new_esEs(xy230, xy2600, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, dd), de), cd) → new_esEs3(xy230, xy2600, dd, de)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(app(ty_Either, ef), eg)) → new_esEs3(xy231, xy2601, ef, eg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_Either, beb), bec)) → new_esEs3(xy230, xy2600, beb, bec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(Left(xy230), Left(xy2600), app(app(ty_Either, bch), bda), bca) → new_esEs3(xy230, xy2600, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(ty_[], dg)) → new_esEs(xy231, xy2601, dg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], cc), cd) → new_esEs(xy230, xy2600, cc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, ce), cf), cd) → new_esEs0(xy230, xy2600, ce, cf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(app(ty_@2, dh), ea)) → new_esEs0(xy231, xy2601, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), df, app(app(app(ty_@3, eb), ec), ed)) → new_esEs1(xy231, xy2601, eb, ec, ed)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, cg), da), db), cd) → new_esEs1(xy230, xy2600, cg, da, db)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_[], bdc)) → new_esEs(xy230, xy2600, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
new_esEs3(Left(xy230), Left(xy2600), app(ty_[], bbh), bca) → new_esEs(xy230, xy2600, bbh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
new_esEs3(Left(xy230), Left(xy2600), app(app(ty_@2, bcb), bcc), bca) → new_esEs0(xy230, xy2600, bcb, bcc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_@2, bdd), bde)) → new_esEs0(xy230, xy2600, bdd, bde)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs1(xy230, xy2600, bdf, bdg, bdh)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
new_esEs3(Left(xy230), Left(xy2600), app(app(app(ty_@3, bcd), bce), bcf), bca) → new_esEs1(xy230, xy2600, bcd, bce, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

              ↳ QDP

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

new_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) → new_isPrefixOf(xy221, xy2611, ba)

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

new_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) → new_isPrefixOf(xy221, xy2611, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

              ↳ QDP

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

new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) → new_isPrefixOf0(xy23, xy22, new_flip(xy26, xy2510, ba), xy2511, ba)

The TRS R consists of the following rules:

new_flip(xy22, xy23, ba) → :(xy23, xy22)

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(xy23, xy22, xy26, :(xy2510, xy2511), ba) → new_isPrefixOf0(xy23, xy22, new_flip(xy26, xy2510, ba), xy2511, ba)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 4, 5 >= 5

↳ HASKELL

  ↳ BR

    ↳ HASKELL

      ↳ COR

        ↳ HASKELL

          ↳ Narrow

            ↳ AND

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

              ↳ QDP

                ↳ QDPSizeChangeProof

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

new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) → new_isPrefixOf1(new_flip(xy22, xy23, ba), xy240, xy241, xy25, ba)

The TRS R consists of the following rules:

new_flip(xy22, xy23, ba) → :(xy23, xy22)

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(xy22, xy23, :(xy240, xy241), xy25, ba) → new_isPrefixOf1(new_flip(xy22, xy23, ba), xy240, xy241, xy25, ba)
The graph contains the following edges 3 > 2, 3 > 3, 4 >= 4, 5 >= 5