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

YES 2.9090000000000003 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/FiniteMap.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:

↳ HASKELL

  ↳ CR

mainModule FiniteMap

((elemFM :: Int -> FiniteMap Int a -> Bool) :: Int -> FiniteMap Int a -> Bool)

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b)

instance (Eq a, Eq b) => Eq (FiniteMap a b) where

elemFM :: Ord b => b -> FiniteMap b a -> Bool

elemFM

key fm

case	lookupFM fm key of
	Nothing	->	False
	Just elt	->	True

lookupFM :: Ord b => FiniteMap b a -> b -> Maybe a

lookupFM

EmptyFM key

Nothing

lookupFM

(Branch key elt _ fm_l fm_r) key_to_find

key_to_find < key

lookupFM fm_l key_to_find

key_to_find > key

lookupFM fm_r key_to_find

otherwise

Just elt

module Maybe where

import qualified FiniteMap
import qualified Prelude

Case Reductions:
The following Case expression

case lookupFM fm key of
Nothing → False

Just elt → True

is transformed to

elemFM0 Nothing = False

elemFM0 (Just elt) = True

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

mainModule FiniteMap

((elemFM :: Int -> FiniteMap Int a -> Bool) :: Int -> FiniteMap Int a -> Bool)

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b)

instance (Eq a, Eq b) => Eq (FiniteMap a b) where

elemFM :: Ord a => a -> FiniteMap a b -> Bool

elemFM

key fm

elemFM0 (lookupFM fm key)

elemFM0	Nothing	=	False
elemFM0	(Just elt)	=	True

lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b

lookupFM

EmptyFM key

Nothing

lookupFM

(Branch key elt _ fm_l fm_r) key_to_find

key_to_find < key

lookupFM fm_l key_to_find

key_to_find > key

lookupFM fm_r key_to_find

otherwise

Just elt

module Maybe where

import qualified FiniteMap
import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

mainModule FiniteMap

((elemFM :: Int -> FiniteMap Int a -> Bool) :: Int -> FiniteMap Int a -> Bool)

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b)

instance (Eq a, Eq b) => Eq (FiniteMap a b) where

elemFM :: Ord b => b -> FiniteMap b a -> Bool

elemFM

key fm

elemFM0 (lookupFM fm key)

elemFM0	Nothing	=	False
elemFM0	(Just elt)	=	True

lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b

lookupFM

EmptyFM key

Nothing

lookupFM

(Branch key elt vw fm_l fm_r) key_to_find

key_to_find < key

lookupFM fm_l key_to_find

key_to_find > key

lookupFM fm_r key_to_find

otherwise

Just elt

module Maybe where

import qualified FiniteMap
import qualified Prelude

Cond Reductions:
The following Function with conditions

lookupFM EmptyFM key = Nothing

lookupFM (Branch key elt vw fm_l fm_r) key_to_find

| key_to_find < key

= lookupFM fm_l key_to_find

| key_to_find > key

= lookupFM fm_r key_to_find

| otherwise

= Just elt

is transformed to

lookupFM EmptyFM key = lookupFM4 EmptyFM key

lookupFM (Branch key elt vw fm_l fm_r) key_to_find = lookupFM3 (Branch key elt vw fm_l fm_r) key_to_find

lookupFM0 key elt vw fm_l fm_r key_to_find True = Just elt

lookupFM2 key elt vw fm_l fm_r key_to_find True = lookupFM fm_l key_to_find

lookupFM2 key elt vw fm_l fm_r key_to_find False = lookupFM1 key elt vw fm_l fm_r key_to_find (key_to_find > key)

lookupFM1 key elt vw fm_l fm_r key_to_find True = lookupFM fm_r key_to_find

lookupFM1 key elt vw fm_l fm_r key_to_find False = lookupFM0 key elt vw fm_l fm_r key_to_find otherwise

lookupFM3 (Branch key elt vw fm_l fm_r) key_to_find = lookupFM2 key elt vw fm_l fm_r key_to_find (key_to_find < key)

lookupFM4 EmptyFM key = Nothing

lookupFM4 wv ww = lookupFM3 wv ww

The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

mainModule FiniteMap

(elemFM :: Int -> FiniteMap Int a -> Bool)

module FiniteMap where

import qualified Maybe
import qualified Prelude

data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b)

instance (Eq a, Eq b) => Eq (FiniteMap a b) where

elemFM :: Ord b => b -> FiniteMap b a -> Bool

elemFM

key fm

elemFM0 (lookupFM fm key)

elemFM0	Nothing	=	False
elemFM0	(Just elt)	=	True

lookupFM :: Ord b => FiniteMap b a -> b -> Maybe a

lookupFM	EmptyFM key	=	lookupFM4 EmptyFM key
lookupFM	(Branch key elt vw fm_l fm_r) key_to_find	=	lookupFM3 (Branch key elt vw fm_l fm_r) key_to_find

lookupFM0

key elt vw fm_l fm_r key_to_find True

Just elt

lookupFM1	key elt vw fm_l fm_r key_to_find True	=	lookupFM fm_r key_to_find
lookupFM1	key elt vw fm_l fm_r key_to_find False	=	lookupFM0 key elt vw fm_l fm_r key_to_find otherwise

lookupFM2	key elt vw fm_l fm_r key_to_find True	=	lookupFM fm_l key_to_find
lookupFM2	key elt vw fm_l fm_r key_to_find False	=	lookupFM1 key elt vw fm_l fm_r key_to_find (key_to_find > key)

lookupFM3

(Branch key elt vw fm_l fm_r) key_to_find

lookupFM2 key elt vw fm_l fm_r key_to_find (key_to_find < key)

lookupFM4	EmptyFM key	=	Nothing
lookupFM4	wv ww	=	lookupFM3 wv ww

module Maybe where

import qualified FiniteMap
import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="elemFM",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="elemFM wx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="elemFM wx3 wx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="elemFM0 (lookupFM wx4 wx3)",fontsize=16,color="burlywood",shape="triangle"];1566[label="wx4/EmptyFM",fontsize=10,color="white",style="solid",shape="box"];5 -> 1566[label="",style="solid", color="burlywood", weight=9];
1566 -> 6[label="",style="solid", color="burlywood", weight=3];
1567[label="wx4/Branch wx40 wx41 wx42 wx43 wx44",fontsize=10,color="white",style="solid",shape="box"];5 -> 1567[label="",style="solid", color="burlywood", weight=9];
1567 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="elemFM0 (lookupFM EmptyFM wx3)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="elemFM0 (lookupFM (Branch wx40 wx41 wx42 wx43 wx44) wx3)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="elemFM0 (lookupFM4 EmptyFM wx3)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="elemFM0 (lookupFM3 (Branch wx40 wx41 wx42 wx43 wx44) wx3)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10[label="elemFM0 Nothing",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
11[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 wx3 (wx3 < wx40))",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
12[label="False",fontsize=16,color="green",shape="box"];13[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 wx3 (compare wx3 wx40 == LT))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3];
14[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 wx3 (primCmpInt wx3 wx40 == LT))",fontsize=16,color="burlywood",shape="box"];1568[label="wx3/Pos wx30",fontsize=10,color="white",style="solid",shape="box"];14 -> 1568[label="",style="solid", color="burlywood", weight=9];
1568 -> 15[label="",style="solid", color="burlywood", weight=3];
1569[label="wx3/Neg wx30",fontsize=10,color="white",style="solid",shape="box"];14 -> 1569[label="",style="solid", color="burlywood", weight=9];
1569 -> 16[label="",style="solid", color="burlywood", weight=3];
15[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 (Pos wx30) (primCmpInt (Pos wx30) wx40 == LT))",fontsize=16,color="burlywood",shape="box"];1570[label="wx30/Succ wx300",fontsize=10,color="white",style="solid",shape="box"];15 -> 1570[label="",style="solid", color="burlywood", weight=9];
1570 -> 17[label="",style="solid", color="burlywood", weight=3];
1571[label="wx30/Zero",fontsize=10,color="white",style="solid",shape="box"];15 -> 1571[label="",style="solid", color="burlywood", weight=9];
1571 -> 18[label="",style="solid", color="burlywood", weight=3];
16[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 (Neg wx30) (primCmpInt (Neg wx30) wx40 == LT))",fontsize=16,color="burlywood",shape="box"];1572[label="wx30/Succ wx300",fontsize=10,color="white",style="solid",shape="box"];16 -> 1572[label="",style="solid", color="burlywood", weight=9];
1572 -> 19[label="",style="solid", color="burlywood", weight=3];
1573[label="wx30/Zero",fontsize=10,color="white",style="solid",shape="box"];16 -> 1573[label="",style="solid", color="burlywood", weight=9];
1573 -> 20[label="",style="solid", color="burlywood", weight=3];
17[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpInt (Pos (Succ wx300)) wx40 == LT))",fontsize=16,color="burlywood",shape="box"];1574[label="wx40/Pos wx400",fontsize=10,color="white",style="solid",shape="box"];17 -> 1574[label="",style="solid", color="burlywood", weight=9];
1574 -> 21[label="",style="solid", color="burlywood", weight=3];
1575[label="wx40/Neg wx400",fontsize=10,color="white",style="solid",shape="box"];17 -> 1575[label="",style="solid", color="burlywood", weight=9];
1575 -> 22[label="",style="solid", color="burlywood", weight=3];
18[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) wx40 == LT))",fontsize=16,color="burlywood",shape="box"];1576[label="wx40/Pos wx400",fontsize=10,color="white",style="solid",shape="box"];18 -> 1576[label="",style="solid", color="burlywood", weight=9];
1576 -> 23[label="",style="solid", color="burlywood", weight=3];
1577[label="wx40/Neg wx400",fontsize=10,color="white",style="solid",shape="box"];18 -> 1577[label="",style="solid", color="burlywood", weight=9];
1577 -> 24[label="",style="solid", color="burlywood", weight=3];
19[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (primCmpInt (Neg (Succ wx300)) wx40 == LT))",fontsize=16,color="burlywood",shape="box"];1578[label="wx40/Pos wx400",fontsize=10,color="white",style="solid",shape="box"];19 -> 1578[label="",style="solid", color="burlywood", weight=9];
1578 -> 25[label="",style="solid", color="burlywood", weight=3];
1579[label="wx40/Neg wx400",fontsize=10,color="white",style="solid",shape="box"];19 -> 1579[label="",style="solid", color="burlywood", weight=9];
1579 -> 26[label="",style="solid", color="burlywood", weight=3];
20[label="elemFM0 (lookupFM2 wx40 wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) wx40 == LT))",fontsize=16,color="burlywood",shape="box"];1580[label="wx40/Pos wx400",fontsize=10,color="white",style="solid",shape="box"];20 -> 1580[label="",style="solid", color="burlywood", weight=9];
1580 -> 27[label="",style="solid", color="burlywood", weight=3];
1581[label="wx40/Neg wx400",fontsize=10,color="white",style="solid",shape="box"];20 -> 1581[label="",style="solid", color="burlywood", weight=9];
1581 -> 28[label="",style="solid", color="burlywood", weight=3];
21[label="elemFM0 (lookupFM2 (Pos wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpInt (Pos (Succ wx300)) (Pos wx400) == LT))",fontsize=16,color="black",shape="box"];21 -> 29[label="",style="solid", color="black", weight=3];
22[label="elemFM0 (lookupFM2 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpInt (Pos (Succ wx300)) (Neg wx400) == LT))",fontsize=16,color="black",shape="box"];22 -> 30[label="",style="solid", color="black", weight=3];
23[label="elemFM0 (lookupFM2 (Pos wx400) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Pos wx400) == LT))",fontsize=16,color="burlywood",shape="box"];1582[label="wx400/Succ wx4000",fontsize=10,color="white",style="solid",shape="box"];23 -> 1582[label="",style="solid", color="burlywood", weight=9];
1582 -> 31[label="",style="solid", color="burlywood", weight=3];
1583[label="wx400/Zero",fontsize=10,color="white",style="solid",shape="box"];23 -> 1583[label="",style="solid", color="burlywood", weight=9];
1583 -> 32[label="",style="solid", color="burlywood", weight=3];
24[label="elemFM0 (lookupFM2 (Neg wx400) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Neg wx400) == LT))",fontsize=16,color="burlywood",shape="box"];1584[label="wx400/Succ wx4000",fontsize=10,color="white",style="solid",shape="box"];24 -> 1584[label="",style="solid", color="burlywood", weight=9];
1584 -> 33[label="",style="solid", color="burlywood", weight=3];
1585[label="wx400/Zero",fontsize=10,color="white",style="solid",shape="box"];24 -> 1585[label="",style="solid", color="burlywood", weight=9];
1585 -> 34[label="",style="solid", color="burlywood", weight=3];
25[label="elemFM0 (lookupFM2 (Pos wx400) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (primCmpInt (Neg (Succ wx300)) (Pos wx400) == LT))",fontsize=16,color="black",shape="box"];25 -> 35[label="",style="solid", color="black", weight=3];
26[label="elemFM0 (lookupFM2 (Neg wx400) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (primCmpInt (Neg (Succ wx300)) (Neg wx400) == LT))",fontsize=16,color="black",shape="box"];26 -> 36[label="",style="solid", color="black", weight=3];
27[label="elemFM0 (lookupFM2 (Pos wx400) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Pos wx400) == LT))",fontsize=16,color="burlywood",shape="box"];1586[label="wx400/Succ wx4000",fontsize=10,color="white",style="solid",shape="box"];27 -> 1586[label="",style="solid", color="burlywood", weight=9];
1586 -> 37[label="",style="solid", color="burlywood", weight=3];
1587[label="wx400/Zero",fontsize=10,color="white",style="solid",shape="box"];27 -> 1587[label="",style="solid", color="burlywood", weight=9];
1587 -> 38[label="",style="solid", color="burlywood", weight=3];
28[label="elemFM0 (lookupFM2 (Neg wx400) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Neg wx400) == LT))",fontsize=16,color="burlywood",shape="box"];1588[label="wx400/Succ wx4000",fontsize=10,color="white",style="solid",shape="box"];28 -> 1588[label="",style="solid", color="burlywood", weight=9];
1588 -> 39[label="",style="solid", color="burlywood", weight=3];
1589[label="wx400/Zero",fontsize=10,color="white",style="solid",shape="box"];28 -> 1589[label="",style="solid", color="burlywood", weight=9];
1589 -> 40[label="",style="solid", color="burlywood", weight=3];
29[label="elemFM0 (lookupFM2 (Pos wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpNat (Succ wx300) wx400 == LT))",fontsize=16,color="burlywood",shape="box"];1590[label="wx400/Succ wx4000",fontsize=10,color="white",style="solid",shape="box"];29 -> 1590[label="",style="solid", color="burlywood", weight=9];
1590 -> 41[label="",style="solid", color="burlywood", weight=3];
1591[label="wx400/Zero",fontsize=10,color="white",style="solid",shape="box"];29 -> 1591[label="",style="solid", color="burlywood", weight=9];
1591 -> 42[label="",style="solid", color="burlywood", weight=3];
30[label="elemFM0 (lookupFM2 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (GT == LT))",fontsize=16,color="black",shape="box"];30 -> 43[label="",style="solid", color="black", weight=3];
31[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Pos (Succ wx4000)) == LT))",fontsize=16,color="black",shape="box"];31 -> 44[label="",style="solid", color="black", weight=3];
32[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Pos Zero) == LT))",fontsize=16,color="black",shape="box"];32 -> 45[label="",style="solid", color="black", weight=3];
33[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Neg (Succ wx4000)) == LT))",fontsize=16,color="black",shape="box"];33 -> 46[label="",style="solid", color="black", weight=3];
34[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Neg Zero) == LT))",fontsize=16,color="black",shape="box"];34 -> 47[label="",style="solid", color="black", weight=3];
35[label="elemFM0 (lookupFM2 (Pos wx400) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (LT == LT))",fontsize=16,color="black",shape="box"];35 -> 48[label="",style="solid", color="black", weight=3];
36[label="elemFM0 (lookupFM2 (Neg wx400) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (primCmpNat wx400 (Succ wx300) == LT))",fontsize=16,color="burlywood",shape="box"];1592[label="wx400/Succ wx4000",fontsize=10,color="white",style="solid",shape="box"];36 -> 1592[label="",style="solid", color="burlywood", weight=9];
1592 -> 49[label="",style="solid", color="burlywood", weight=3];
1593[label="wx400/Zero",fontsize=10,color="white",style="solid",shape="box"];36 -> 1593[label="",style="solid", color="burlywood", weight=9];
1593 -> 50[label="",style="solid", color="burlywood", weight=3];
37[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Pos (Succ wx4000)) == LT))",fontsize=16,color="black",shape="box"];37 -> 51[label="",style="solid", color="black", weight=3];
38[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Pos Zero) == LT))",fontsize=16,color="black",shape="box"];38 -> 52[label="",style="solid", color="black", weight=3];
39[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Neg (Succ wx4000)) == LT))",fontsize=16,color="black",shape="box"];39 -> 53[label="",style="solid", color="black", weight=3];
40[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Neg Zero) == LT))",fontsize=16,color="black",shape="box"];40 -> 54[label="",style="solid", color="black", weight=3];
41[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpNat (Succ wx300) (Succ wx4000) == LT))",fontsize=16,color="black",shape="box"];41 -> 55[label="",style="solid", color="black", weight=3];
42[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpNat (Succ wx300) Zero == LT))",fontsize=16,color="black",shape="box"];42 -> 56[label="",style="solid", color="black", weight=3];
43[label="elemFM0 (lookupFM2 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) False)",fontsize=16,color="black",shape="box"];43 -> 57[label="",style="solid", color="black", weight=3];
44[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpNat Zero (Succ wx4000) == LT))",fontsize=16,color="black",shape="box"];44 -> 58[label="",style="solid", color="black", weight=3];
45[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) (EQ == LT))",fontsize=16,color="black",shape="box"];45 -> 59[label="",style="solid", color="black", weight=3];
46[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (GT == LT))",fontsize=16,color="black",shape="box"];46 -> 60[label="",style="solid", color="black", weight=3];
47[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) (EQ == LT))",fontsize=16,color="black",shape="box"];47 -> 61[label="",style="solid", color="black", weight=3];
48[label="elemFM0 (lookupFM2 (Pos wx400) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) True)",fontsize=16,color="black",shape="box"];48 -> 62[label="",style="solid", color="black", weight=3];
49[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (primCmpNat (Succ wx4000) (Succ wx300) == LT))",fontsize=16,color="black",shape="box"];49 -> 63[label="",style="solid", color="black", weight=3];
50[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (primCmpNat Zero (Succ wx300) == LT))",fontsize=16,color="black",shape="box"];50 -> 64[label="",style="solid", color="black", weight=3];
51[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (LT == LT))",fontsize=16,color="black",shape="box"];51 -> 65[label="",style="solid", color="black", weight=3];
52[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) (EQ == LT))",fontsize=16,color="black",shape="box"];52 -> 66[label="",style="solid", color="black", weight=3];
53[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpNat (Succ wx4000) Zero == LT))",fontsize=16,color="black",shape="box"];53 -> 67[label="",style="solid", color="black", weight=3];
54[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) (EQ == LT))",fontsize=16,color="black",shape="box"];54 -> 68[label="",style="solid", color="black", weight=3];
55 -> 709[label="",style="dashed", color="red", weight=0];
55[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpNat wx300 wx4000 == LT))",fontsize=16,color="magenta"];55 -> 710[label="",style="dashed", color="magenta", weight=3];
55 -> 711[label="",style="dashed", color="magenta", weight=3];
55 -> 712[label="",style="dashed", color="magenta", weight=3];
55 -> 713[label="",style="dashed", color="magenta", weight=3];
55 -> 714[label="",style="dashed", color="magenta", weight=3];
55 -> 715[label="",style="dashed", color="magenta", weight=3];
55 -> 716[label="",style="dashed", color="magenta", weight=3];
55 -> 717[label="",style="dashed", color="magenta", weight=3];
56[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (GT == LT))",fontsize=16,color="black",shape="box"];56 -> 71[label="",style="solid", color="black", weight=3];
57[label="elemFM0 (lookupFM1 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (Pos (Succ wx300) > Neg wx400))",fontsize=16,color="black",shape="box"];57 -> 72[label="",style="solid", color="black", weight=3];
58[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (LT == LT))",fontsize=16,color="black",shape="box"];58 -> 73[label="",style="solid", color="black", weight=3];
59[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) False)",fontsize=16,color="black",shape="box"];59 -> 74[label="",style="solid", color="black", weight=3];
60[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) False)",fontsize=16,color="black",shape="box"];60 -> 75[label="",style="solid", color="black", weight=3];
61[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) False)",fontsize=16,color="black",shape="box"];61 -> 76[label="",style="solid", color="black", weight=3];
62 -> 5[label="",style="dashed", color="red", weight=0];
62[label="elemFM0 (lookupFM wx43 (Neg (Succ wx300)))",fontsize=16,color="magenta"];62 -> 77[label="",style="dashed", color="magenta", weight=3];
62 -> 78[label="",style="dashed", color="magenta", weight=3];
63 -> 792[label="",style="dashed", color="red", weight=0];
63[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (primCmpNat wx4000 wx300 == LT))",fontsize=16,color="magenta"];63 -> 793[label="",style="dashed", color="magenta", weight=3];
63 -> 794[label="",style="dashed", color="magenta", weight=3];
63 -> 795[label="",style="dashed", color="magenta", weight=3];
63 -> 796[label="",style="dashed", color="magenta", weight=3];
63 -> 797[label="",style="dashed", color="magenta", weight=3];
63 -> 798[label="",style="dashed", color="magenta", weight=3];
63 -> 799[label="",style="dashed", color="magenta", weight=3];
63 -> 800[label="",style="dashed", color="magenta", weight=3];
64[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) (LT == LT))",fontsize=16,color="black",shape="box"];64 -> 81[label="",style="solid", color="black", weight=3];
65[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) True)",fontsize=16,color="black",shape="box"];65 -> 82[label="",style="solid", color="black", weight=3];
66[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) False)",fontsize=16,color="black",shape="box"];66 -> 83[label="",style="solid", color="black", weight=3];
67[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (GT == LT))",fontsize=16,color="black",shape="box"];67 -> 84[label="",style="solid", color="black", weight=3];
68[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) False)",fontsize=16,color="black",shape="box"];68 -> 85[label="",style="solid", color="black", weight=3];
710[label="wx4000",fontsize=16,color="green",shape="box"];711[label="wx4000",fontsize=16,color="green",shape="box"];712[label="wx300",fontsize=16,color="green",shape="box"];713[label="wx300",fontsize=16,color="green",shape="box"];714[label="wx44",fontsize=16,color="green",shape="box"];715[label="wx43",fontsize=16,color="green",shape="box"];716[label="wx42",fontsize=16,color="green",shape="box"];717[label="wx41",fontsize=16,color="green",shape="box"];709[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat wx70 wx71 == LT))",fontsize=16,color="burlywood",shape="triangle"];1597[label="wx70/Succ wx700",fontsize=10,color="white",style="solid",shape="box"];709 -> 1597[label="",style="solid", color="burlywood", weight=9];
1597 -> 790[label="",style="solid", color="burlywood", weight=3];
1598[label="wx70/Zero",fontsize=10,color="white",style="solid",shape="box"];709 -> 1598[label="",style="solid", color="burlywood", weight=9];
1598 -> 791[label="",style="solid", color="burlywood", weight=3];
71[label="elemFM0 (lookupFM2 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) False)",fontsize=16,color="black",shape="box"];71 -> 90[label="",style="solid", color="black", weight=3];
72[label="elemFM0 (lookupFM1 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (compare (Pos (Succ wx300)) (Neg wx400) == GT))",fontsize=16,color="black",shape="box"];72 -> 91[label="",style="solid", color="black", weight=3];
73[label="elemFM0 (lookupFM2 (Pos (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) True)",fontsize=16,color="black",shape="box"];73 -> 92[label="",style="solid", color="black", weight=3];
74[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) (Pos Zero > Pos Zero))",fontsize=16,color="black",shape="box"];74 -> 93[label="",style="solid", color="black", weight=3];
75[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (Pos Zero > Neg (Succ wx4000)))",fontsize=16,color="black",shape="box"];75 -> 94[label="",style="solid", color="black", weight=3];
76[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) (Pos Zero > Neg Zero))",fontsize=16,color="black",shape="box"];76 -> 95[label="",style="solid", color="black", weight=3];
77[label="wx43",fontsize=16,color="green",shape="box"];78[label="Neg (Succ wx300)",fontsize=16,color="green",shape="box"];793[label="wx300",fontsize=16,color="green",shape="box"];794[label="wx4000",fontsize=16,color="green",shape="box"];795[label="wx44",fontsize=16,color="green",shape="box"];796[label="wx300",fontsize=16,color="green",shape="box"];797[label="wx43",fontsize=16,color="green",shape="box"];798[label="wx42",fontsize=16,color="green",shape="box"];799[label="wx4000",fontsize=16,color="green",shape="box"];800[label="wx41",fontsize=16,color="green",shape="box"];792[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat wx79 wx80 == LT))",fontsize=16,color="burlywood",shape="triangle"];1599[label="wx79/Succ wx790",fontsize=10,color="white",style="solid",shape="box"];792 -> 1599[label="",style="solid", color="burlywood", weight=9];
1599 -> 873[label="",style="solid", color="burlywood", weight=3];
1600[label="wx79/Zero",fontsize=10,color="white",style="solid",shape="box"];792 -> 1600[label="",style="solid", color="burlywood", weight=9];
1600 -> 874[label="",style="solid", color="burlywood", weight=3];
81[label="elemFM0 (lookupFM2 (Neg Zero) wx41 wx42 wx43 wx44 (Neg (Succ wx300)) True)",fontsize=16,color="black",shape="box"];81 -> 100[label="",style="solid", color="black", weight=3];
82 -> 5[label="",style="dashed", color="red", weight=0];
82[label="elemFM0 (lookupFM wx43 (Neg Zero))",fontsize=16,color="magenta"];82 -> 101[label="",style="dashed", color="magenta", weight=3];
82 -> 102[label="",style="dashed", color="magenta", weight=3];
83[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) (Neg Zero > Pos Zero))",fontsize=16,color="black",shape="box"];83 -> 103[label="",style="solid", color="black", weight=3];
84[label="elemFM0 (lookupFM2 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) False)",fontsize=16,color="black",shape="box"];84 -> 104[label="",style="solid", color="black", weight=3];
85[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) (Neg Zero > Neg Zero))",fontsize=16,color="black",shape="box"];85 -> 105[label="",style="solid", color="black", weight=3];
790[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat (Succ wx700) wx71 == LT))",fontsize=16,color="burlywood",shape="box"];1602[label="wx71/Succ wx710",fontsize=10,color="white",style="solid",shape="box"];790 -> 1602[label="",style="solid", color="burlywood", weight=9];
1602 -> 875[label="",style="solid", color="burlywood", weight=3];
1603[label="wx71/Zero",fontsize=10,color="white",style="solid",shape="box"];790 -> 1603[label="",style="solid", color="burlywood", weight=9];
1603 -> 876[label="",style="solid", color="burlywood", weight=3];
791[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat Zero wx71 == LT))",fontsize=16,color="burlywood",shape="box"];1604[label="wx71/Succ wx710",fontsize=10,color="white",style="solid",shape="box"];791 -> 1604[label="",style="solid", color="burlywood", weight=9];
1604 -> 877[label="",style="solid", color="burlywood", weight=3];
1605[label="wx71/Zero",fontsize=10,color="white",style="solid",shape="box"];791 -> 1605[label="",style="solid", color="burlywood", weight=9];
1605 -> 878[label="",style="solid", color="burlywood", weight=3];
90[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (Pos (Succ wx300) > Pos Zero))",fontsize=16,color="black",shape="box"];90 -> 110[label="",style="solid", color="black", weight=3];
91[label="elemFM0 (lookupFM1 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpInt (Pos (Succ wx300)) (Neg wx400) == GT))",fontsize=16,color="black",shape="box"];91 -> 111[label="",style="solid", color="black", weight=3];
92 -> 5[label="",style="dashed", color="red", weight=0];
92[label="elemFM0 (lookupFM wx43 (Pos Zero))",fontsize=16,color="magenta"];92 -> 112[label="",style="dashed", color="magenta", weight=3];
92 -> 113[label="",style="dashed", color="magenta", weight=3];
93[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) (compare (Pos Zero) (Pos Zero) == GT))",fontsize=16,color="black",shape="box"];93 -> 114[label="",style="solid", color="black", weight=3];
94[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (compare (Pos Zero) (Neg (Succ wx4000)) == GT))",fontsize=16,color="black",shape="box"];94 -> 115[label="",style="solid", color="black", weight=3];
95[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) (compare (Pos Zero) (Neg Zero) == GT))",fontsize=16,color="black",shape="box"];95 -> 116[label="",style="solid", color="black", weight=3];
873[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat (Succ wx790) wx80 == LT))",fontsize=16,color="burlywood",shape="box"];1607[label="wx80/Succ wx800",fontsize=10,color="white",style="solid",shape="box"];873 -> 1607[label="",style="solid", color="burlywood", weight=9];
1607 -> 879[label="",style="solid", color="burlywood", weight=3];
1608[label="wx80/Zero",fontsize=10,color="white",style="solid",shape="box"];873 -> 1608[label="",style="solid", color="burlywood", weight=9];
1608 -> 880[label="",style="solid", color="burlywood", weight=3];
874[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat Zero wx80 == LT))",fontsize=16,color="burlywood",shape="box"];1609[label="wx80/Succ wx800",fontsize=10,color="white",style="solid",shape="box"];874 -> 1609[label="",style="solid", color="burlywood", weight=9];
1609 -> 881[label="",style="solid", color="burlywood", weight=3];
1610[label="wx80/Zero",fontsize=10,color="white",style="solid",shape="box"];874 -> 1610[label="",style="solid", color="burlywood", weight=9];
1610 -> 882[label="",style="solid", color="burlywood", weight=3];
100 -> 5[label="",style="dashed", color="red", weight=0];
100[label="elemFM0 (lookupFM wx43 (Neg (Succ wx300)))",fontsize=16,color="magenta"];100 -> 121[label="",style="dashed", color="magenta", weight=3];
100 -> 122[label="",style="dashed", color="magenta", weight=3];
101[label="wx43",fontsize=16,color="green",shape="box"];102[label="Neg Zero",fontsize=16,color="green",shape="box"];103[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) (compare (Neg Zero) (Pos Zero) == GT))",fontsize=16,color="black",shape="box"];103 -> 123[label="",style="solid", color="black", weight=3];
104[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (Neg Zero > Neg (Succ wx4000)))",fontsize=16,color="black",shape="box"];104 -> 124[label="",style="solid", color="black", weight=3];
105[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) (compare (Neg Zero) (Neg Zero) == GT))",fontsize=16,color="black",shape="box"];105 -> 125[label="",style="solid", color="black", weight=3];
875[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat (Succ wx700) (Succ wx710) == LT))",fontsize=16,color="black",shape="box"];875 -> 883[label="",style="solid", color="black", weight=3];
876[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat (Succ wx700) Zero == LT))",fontsize=16,color="black",shape="box"];876 -> 884[label="",style="solid", color="black", weight=3];
877[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat Zero (Succ wx710) == LT))",fontsize=16,color="black",shape="box"];877 -> 885[label="",style="solid", color="black", weight=3];
878[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat Zero Zero == LT))",fontsize=16,color="black",shape="box"];878 -> 886[label="",style="solid", color="black", weight=3];
110[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (compare (Pos (Succ wx300)) (Pos Zero) == GT))",fontsize=16,color="black",shape="box"];110 -> 131[label="",style="solid", color="black", weight=3];
111[label="elemFM0 (lookupFM1 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (GT == GT))",fontsize=16,color="black",shape="box"];111 -> 132[label="",style="solid", color="black", weight=3];
112[label="wx43",fontsize=16,color="green",shape="box"];113[label="Pos Zero",fontsize=16,color="green",shape="box"];114[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Pos Zero) == GT))",fontsize=16,color="black",shape="box"];114 -> 133[label="",style="solid", color="black", weight=3];
115[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Neg (Succ wx4000)) == GT))",fontsize=16,color="black",shape="box"];115 -> 134[label="",style="solid", color="black", weight=3];
116[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) (primCmpInt (Pos Zero) (Neg Zero) == GT))",fontsize=16,color="black",shape="box"];116 -> 135[label="",style="solid", color="black", weight=3];
879[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat (Succ wx790) (Succ wx800) == LT))",fontsize=16,color="black",shape="box"];879 -> 887[label="",style="solid", color="black", weight=3];
880[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat (Succ wx790) Zero == LT))",fontsize=16,color="black",shape="box"];880 -> 888[label="",style="solid", color="black", weight=3];
881[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat Zero (Succ wx800) == LT))",fontsize=16,color="black",shape="box"];881 -> 889[label="",style="solid", color="black", weight=3];
882[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat Zero Zero == LT))",fontsize=16,color="black",shape="box"];882 -> 890[label="",style="solid", color="black", weight=3];
121[label="wx43",fontsize=16,color="green",shape="box"];122[label="Neg (Succ wx300)",fontsize=16,color="green",shape="box"];123[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Pos Zero) == GT))",fontsize=16,color="black",shape="box"];123 -> 141[label="",style="solid", color="black", weight=3];
124[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (compare (Neg Zero) (Neg (Succ wx4000)) == GT))",fontsize=16,color="black",shape="box"];124 -> 142[label="",style="solid", color="black", weight=3];
125[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Neg Zero) == GT))",fontsize=16,color="black",shape="box"];125 -> 143[label="",style="solid", color="black", weight=3];
883 -> 709[label="",style="dashed", color="red", weight=0];
883[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat wx700 wx710 == LT))",fontsize=16,color="magenta"];883 -> 891[label="",style="dashed", color="magenta", weight=3];
883 -> 892[label="",style="dashed", color="magenta", weight=3];
884[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (GT == LT))",fontsize=16,color="black",shape="box"];884 -> 893[label="",style="solid", color="black", weight=3];
885[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (LT == LT))",fontsize=16,color="black",shape="box"];885 -> 894[label="",style="solid", color="black", weight=3];
886[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (EQ == LT))",fontsize=16,color="black",shape="box"];886 -> 895[label="",style="solid", color="black", weight=3];
131[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpInt (Pos (Succ wx300)) (Pos Zero) == GT))",fontsize=16,color="black",shape="box"];131 -> 151[label="",style="solid", color="black", weight=3];
132[label="elemFM0 (lookupFM1 (Neg wx400) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) True)",fontsize=16,color="black",shape="box"];132 -> 152[label="",style="solid", color="black", weight=3];
133[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) (EQ == GT))",fontsize=16,color="black",shape="box"];133 -> 153[label="",style="solid", color="black", weight=3];
134[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) (GT == GT))",fontsize=16,color="black",shape="box"];134 -> 154[label="",style="solid", color="black", weight=3];
135[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) (EQ == GT))",fontsize=16,color="black",shape="box"];135 -> 155[label="",style="solid", color="black", weight=3];
887 -> 792[label="",style="dashed", color="red", weight=0];
887[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat wx790 wx800 == LT))",fontsize=16,color="magenta"];887 -> 896[label="",style="dashed", color="magenta", weight=3];
887 -> 897[label="",style="dashed", color="magenta", weight=3];
888[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (GT == LT))",fontsize=16,color="black",shape="box"];888 -> 898[label="",style="solid", color="black", weight=3];
889[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (LT == LT))",fontsize=16,color="black",shape="box"];889 -> 899[label="",style="solid", color="black", weight=3];
890[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (EQ == LT))",fontsize=16,color="black",shape="box"];890 -> 900[label="",style="solid", color="black", weight=3];
141[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) (EQ == GT))",fontsize=16,color="black",shape="box"];141 -> 163[label="",style="solid", color="black", weight=3];
142[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpInt (Neg Zero) (Neg (Succ wx4000)) == GT))",fontsize=16,color="black",shape="box"];142 -> 164[label="",style="solid", color="black", weight=3];
143[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) (EQ == GT))",fontsize=16,color="black",shape="box"];143 -> 165[label="",style="solid", color="black", weight=3];
891[label="wx710",fontsize=16,color="green",shape="box"];892[label="wx700",fontsize=16,color="green",shape="box"];893[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) False)",fontsize=16,color="black",shape="triangle"];893 -> 901[label="",style="solid", color="black", weight=3];
894[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) True)",fontsize=16,color="black",shape="box"];894 -> 902[label="",style="solid", color="black", weight=3];
895 -> 893[label="",style="dashed", color="red", weight=0];
895[label="elemFM0 (lookupFM2 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) False)",fontsize=16,color="magenta"];151[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (primCmpNat (Succ wx300) Zero == GT))",fontsize=16,color="black",shape="box"];151 -> 174[label="",style="solid", color="black", weight=3];
152 -> 5[label="",style="dashed", color="red", weight=0];
152[label="elemFM0 (lookupFM wx44 (Pos (Succ wx300)))",fontsize=16,color="magenta"];152 -> 175[label="",style="dashed", color="magenta", weight=3];
152 -> 176[label="",style="dashed", color="magenta", weight=3];
153[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) False)",fontsize=16,color="black",shape="box"];153 -> 177[label="",style="solid", color="black", weight=3];
154[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Pos Zero) True)",fontsize=16,color="black",shape="box"];154 -> 178[label="",style="solid", color="black", weight=3];
155[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) False)",fontsize=16,color="black",shape="box"];155 -> 179[label="",style="solid", color="black", weight=3];
896[label="wx800",fontsize=16,color="green",shape="box"];897[label="wx790",fontsize=16,color="green",shape="box"];898[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) False)",fontsize=16,color="black",shape="triangle"];898 -> 903[label="",style="solid", color="black", weight=3];
899[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) True)",fontsize=16,color="black",shape="box"];899 -> 904[label="",style="solid", color="black", weight=3];
900 -> 898[label="",style="dashed", color="red", weight=0];
900[label="elemFM0 (lookupFM2 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) False)",fontsize=16,color="magenta"];163[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) False)",fontsize=16,color="black",shape="box"];163 -> 188[label="",style="solid", color="black", weight=3];
164[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (primCmpNat (Succ wx4000) Zero == GT))",fontsize=16,color="black",shape="box"];164 -> 189[label="",style="solid", color="black", weight=3];
165[label="elemFM0 (lookupFM1 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) False)",fontsize=16,color="black",shape="box"];165 -> 190[label="",style="solid", color="black", weight=3];
901[label="elemFM0 (lookupFM1 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (Pos (Succ wx69) > Pos (Succ wx64)))",fontsize=16,color="black",shape="box"];901 -> 905[label="",style="solid", color="black", weight=3];
902 -> 5[label="",style="dashed", color="red", weight=0];
902[label="elemFM0 (lookupFM wx67 (Pos (Succ wx69)))",fontsize=16,color="magenta"];902 -> 906[label="",style="dashed", color="magenta", weight=3];
902 -> 907[label="",style="dashed", color="magenta", weight=3];
174[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) (GT == GT))",fontsize=16,color="black",shape="box"];174 -> 198[label="",style="solid", color="black", weight=3];
175[label="wx44",fontsize=16,color="green",shape="box"];176[label="Pos (Succ wx300)",fontsize=16,color="green",shape="box"];177[label="elemFM0 (lookupFM0 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) otherwise)",fontsize=16,color="black",shape="box"];177 -> 199[label="",style="solid", color="black", weight=3];
178 -> 5[label="",style="dashed", color="red", weight=0];
178[label="elemFM0 (lookupFM wx44 (Pos Zero))",fontsize=16,color="magenta"];178 -> 200[label="",style="dashed", color="magenta", weight=3];
178 -> 201[label="",style="dashed", color="magenta", weight=3];
179[label="elemFM0 (lookupFM0 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) otherwise)",fontsize=16,color="black",shape="box"];179 -> 202[label="",style="solid", color="black", weight=3];
903[label="elemFM0 (lookupFM1 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (Neg (Succ wx78) > Neg (Succ wx73)))",fontsize=16,color="black",shape="box"];903 -> 908[label="",style="solid", color="black", weight=3];
904 -> 5[label="",style="dashed", color="red", weight=0];
904[label="elemFM0 (lookupFM wx76 (Neg (Succ wx78)))",fontsize=16,color="magenta"];904 -> 909[label="",style="dashed", color="magenta", weight=3];
904 -> 910[label="",style="dashed", color="magenta", weight=3];
188[label="elemFM0 (lookupFM0 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) otherwise)",fontsize=16,color="black",shape="box"];188 -> 210[label="",style="solid", color="black", weight=3];
189[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) (GT == GT))",fontsize=16,color="black",shape="box"];189 -> 211[label="",style="solid", color="black", weight=3];
190[label="elemFM0 (lookupFM0 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) otherwise)",fontsize=16,color="black",shape="box"];190 -> 212[label="",style="solid", color="black", weight=3];
905[label="elemFM0 (lookupFM1 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (compare (Pos (Succ wx69)) (Pos (Succ wx64)) == GT))",fontsize=16,color="black",shape="box"];905 -> 911[label="",style="solid", color="black", weight=3];
906[label="wx67",fontsize=16,color="green",shape="box"];907[label="Pos (Succ wx69)",fontsize=16,color="green",shape="box"];198[label="elemFM0 (lookupFM1 (Pos Zero) wx41 wx42 wx43 wx44 (Pos (Succ wx300)) True)",fontsize=16,color="black",shape="box"];198 -> 222[label="",style="solid", color="black", weight=3];
199[label="elemFM0 (lookupFM0 (Pos Zero) wx41 wx42 wx43 wx44 (Pos Zero) True)",fontsize=16,color="black",shape="box"];199 -> 223[label="",style="solid", color="black", weight=3];
200[label="wx44",fontsize=16,color="green",shape="box"];201[label="Pos Zero",fontsize=16,color="green",shape="box"];202[label="elemFM0 (lookupFM0 (Neg Zero) wx41 wx42 wx43 wx44 (Pos Zero) True)",fontsize=16,color="black",shape="box"];202 -> 224[label="",style="solid", color="black", weight=3];
908[label="elemFM0 (lookupFM1 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (compare (Neg (Succ wx78)) (Neg (Succ wx73)) == GT))",fontsize=16,color="black",shape="box"];908 -> 912[label="",style="solid", color="black", weight=3];
909[label="wx76",fontsize=16,color="green",shape="box"];910[label="Neg (Succ wx78)",fontsize=16,color="green",shape="box"];210[label="elemFM0 (lookupFM0 (Pos Zero) wx41 wx42 wx43 wx44 (Neg Zero) True)",fontsize=16,color="black",shape="box"];210 -> 234[label="",style="solid", color="black", weight=3];
211[label="elemFM0 (lookupFM1 (Neg (Succ wx4000)) wx41 wx42 wx43 wx44 (Neg Zero) True)",fontsize=16,color="black",shape="box"];211 -> 235[label="",style="solid", color="black", weight=3];
212[label="elemFM0 (lookupFM0 (Neg Zero) wx41 wx42 wx43 wx44 (Neg Zero) True)",fontsize=16,color="black",shape="box"];212 -> 236[label="",style="solid", color="black", weight=3];
911[label="elemFM0 (lookupFM1 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpInt (Pos (Succ wx69)) (Pos (Succ wx64)) == GT))",fontsize=16,color="black",shape="box"];911 -> 913[label="",style="solid", color="black", weight=3];
222 -> 5[label="",style="dashed", color="red", weight=0];
222[label="elemFM0 (lookupFM wx44 (Pos (Succ wx300)))",fontsize=16,color="magenta"];222 -> 247[label="",style="dashed", color="magenta", weight=3];
222 -> 248[label="",style="dashed", color="magenta", weight=3];
223[label="elemFM0 (Just wx41)",fontsize=16,color="black",shape="triangle"];223 -> 249[label="",style="solid", color="black", weight=3];
224 -> 223[label="",style="dashed", color="red", weight=0];
224[label="elemFM0 (Just wx41)",fontsize=16,color="magenta"];912[label="elemFM0 (lookupFM1 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpInt (Neg (Succ wx78)) (Neg (Succ wx73)) == GT))",fontsize=16,color="black",shape="box"];912 -> 914[label="",style="solid", color="black", weight=3];
234 -> 223[label="",style="dashed", color="red", weight=0];
234[label="elemFM0 (Just wx41)",fontsize=16,color="magenta"];235 -> 5[label="",style="dashed", color="red", weight=0];
235[label="elemFM0 (lookupFM wx44 (Neg Zero))",fontsize=16,color="magenta"];235 -> 260[label="",style="dashed", color="magenta", weight=3];
235 -> 261[label="",style="dashed", color="magenta", weight=3];
236 -> 223[label="",style="dashed", color="red", weight=0];
236[label="elemFM0 (Just wx41)",fontsize=16,color="magenta"];913 -> 1344[label="",style="dashed", color="red", weight=0];
913[label="elemFM0 (lookupFM1 (Pos (Succ wx64)) wx65 wx66 wx67 wx68 (Pos (Succ wx69)) (primCmpNat (Succ wx69) (Succ wx64) == GT))",fontsize=16,color="magenta"];913 -> 1345[label="",style="dashed", color="magenta", weight=3];
913 -> 1346[label="",style="dashed", color="magenta", weight=3];
913 -> 1347[label="",style="dashed", color="magenta", weight=3];
913 -> 1348[label="",style="dashed", color="magenta", weight=3];
913 -> 1349[label="",style="dashed", color="magenta", weight=3];
913 -> 1350[label="",style="dashed", color="magenta", weight=3];
913 -> 1351[label="",style="dashed", color="magenta", weight=3];
913 -> 1352[label="",style="dashed", color="magenta", weight=3];
247[label="wx44",fontsize=16,color="green",shape="box"];248[label="Pos (Succ wx300)",fontsize=16,color="green",shape="box"];249[label="True",fontsize=16,color="green",shape="box"];914 -> 1435[label="",style="dashed", color="red", weight=0];
914[label="elemFM0 (lookupFM1 (Neg (Succ wx73)) wx74 wx75 wx76 wx77 (Neg (Succ wx78)) (primCmpNat (Succ wx73) (Succ wx78) == GT))",fontsize=16,color="magenta"];914 -> 1436[label="",style="dashed", color="magenta", weight=3];
914 -> 1437[label="",style="dashed", color="magenta", weight=3];
914 -> 1438[label="",style="dashed", color="magenta", weight=3];
914 -> 1439[label="",style="dashed", color="magenta", weight=3];
914 -> 1440[label="",style="dashed", color="magenta", weight=3];
914 -> 1441[label="",style="dashed", color="magenta", weight=3];
914 -> 1442[label="",style="dashed", color="magenta", weight=3];
914 -> 1443[label="",style="dashed", color="magenta", weight=3];
260[label="wx44",fontsize=16,color="green",shape="box"];261[label="Neg Zero",fontsize=16,color="green",shape="box"];1345[label="wx66",fontsize=16,color="green",shape="box"];1346[label="Succ wx69",fontsize=16,color="green",shape="box"];1347[label="wx69",fontsize=16,color="green",shape="box"];1348[label="wx67",fontsize=16,color="green",shape="box"];1349[label="Succ wx64",fontsize=16,color="green",shape="box"];1350[label="wx65",fontsize=16,color="green",shape="box"];1351[label="wx64",fontsize=16,color="green",shape="box"];1352[label="wx68",fontsize=16,color="green",shape="box"];1344[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat wx152 wx153 == GT))",fontsize=16,color="burlywood",shape="triangle"];1627[label="wx152/Succ wx1520",fontsize=10,color="white",style="solid",shape="box"];1344 -> 1627[label="",style="solid", color="burlywood", weight=9];
1627 -> 1433[label="",style="solid", color="burlywood", weight=3];
1628[label="wx152/Zero",fontsize=10,color="white",style="solid",shape="box"];1344 -> 1628[label="",style="solid", color="burlywood", weight=9];
1628 -> 1434[label="",style="solid", color="burlywood", weight=3];
1436[label="Succ wx78",fontsize=16,color="green",shape="box"];1437[label="wx74",fontsize=16,color="green",shape="box"];1438[label="wx73",fontsize=16,color="green",shape="box"];1439[label="wx75",fontsize=16,color="green",shape="box"];1440[label="wx77",fontsize=16,color="green",shape="box"];1441[label="wx76",fontsize=16,color="green",shape="box"];1442[label="Succ wx73",fontsize=16,color="green",shape="box"];1443[label="wx78",fontsize=16,color="green",shape="box"];1435[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat wx161 wx162 == GT))",fontsize=16,color="burlywood",shape="triangle"];1629[label="wx161/Succ wx1610",fontsize=10,color="white",style="solid",shape="box"];1435 -> 1629[label="",style="solid", color="burlywood", weight=9];
1629 -> 1524[label="",style="solid", color="burlywood", weight=3];
1630[label="wx161/Zero",fontsize=10,color="white",style="solid",shape="box"];1435 -> 1630[label="",style="solid", color="burlywood", weight=9];
1630 -> 1525[label="",style="solid", color="burlywood", weight=3];
1433[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat (Succ wx1520) wx153 == GT))",fontsize=16,color="burlywood",shape="box"];1631[label="wx153/Succ wx1530",fontsize=10,color="white",style="solid",shape="box"];1433 -> 1631[label="",style="solid", color="burlywood", weight=9];
1631 -> 1526[label="",style="solid", color="burlywood", weight=3];
1632[label="wx153/Zero",fontsize=10,color="white",style="solid",shape="box"];1433 -> 1632[label="",style="solid", color="burlywood", weight=9];
1632 -> 1527[label="",style="solid", color="burlywood", weight=3];
1434[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat Zero wx153 == GT))",fontsize=16,color="burlywood",shape="box"];1633[label="wx153/Succ wx1530",fontsize=10,color="white",style="solid",shape="box"];1434 -> 1633[label="",style="solid", color="burlywood", weight=9];
1633 -> 1528[label="",style="solid", color="burlywood", weight=3];
1634[label="wx153/Zero",fontsize=10,color="white",style="solid",shape="box"];1434 -> 1634[label="",style="solid", color="burlywood", weight=9];
1634 -> 1529[label="",style="solid", color="burlywood", weight=3];
1524[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat (Succ wx1610) wx162 == GT))",fontsize=16,color="burlywood",shape="box"];1635[label="wx162/Succ wx1620",fontsize=10,color="white",style="solid",shape="box"];1524 -> 1635[label="",style="solid", color="burlywood", weight=9];
1635 -> 1530[label="",style="solid", color="burlywood", weight=3];
1636[label="wx162/Zero",fontsize=10,color="white",style="solid",shape="box"];1524 -> 1636[label="",style="solid", color="burlywood", weight=9];
1636 -> 1531[label="",style="solid", color="burlywood", weight=3];
1525[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat Zero wx162 == GT))",fontsize=16,color="burlywood",shape="box"];1637[label="wx162/Succ wx1620",fontsize=10,color="white",style="solid",shape="box"];1525 -> 1637[label="",style="solid", color="burlywood", weight=9];
1637 -> 1532[label="",style="solid", color="burlywood", weight=3];
1638[label="wx162/Zero",fontsize=10,color="white",style="solid",shape="box"];1525 -> 1638[label="",style="solid", color="burlywood", weight=9];
1638 -> 1533[label="",style="solid", color="burlywood", weight=3];
1526[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat (Succ wx1520) (Succ wx1530) == GT))",fontsize=16,color="black",shape="box"];1526 -> 1534[label="",style="solid", color="black", weight=3];
1527[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat (Succ wx1520) Zero == GT))",fontsize=16,color="black",shape="box"];1527 -> 1535[label="",style="solid", color="black", weight=3];
1528[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat Zero (Succ wx1530) == GT))",fontsize=16,color="black",shape="box"];1528 -> 1536[label="",style="solid", color="black", weight=3];
1529[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat Zero Zero == GT))",fontsize=16,color="black",shape="box"];1529 -> 1537[label="",style="solid", color="black", weight=3];
1530[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat (Succ wx1610) (Succ wx1620) == GT))",fontsize=16,color="black",shape="box"];1530 -> 1538[label="",style="solid", color="black", weight=3];
1531[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat (Succ wx1610) Zero == GT))",fontsize=16,color="black",shape="box"];1531 -> 1539[label="",style="solid", color="black", weight=3];
1532[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat Zero (Succ wx1620) == GT))",fontsize=16,color="black",shape="box"];1532 -> 1540[label="",style="solid", color="black", weight=3];
1533[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat Zero Zero == GT))",fontsize=16,color="black",shape="box"];1533 -> 1541[label="",style="solid", color="black", weight=3];
1534 -> 1344[label="",style="dashed", color="red", weight=0];
1534[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (primCmpNat wx1520 wx1530 == GT))",fontsize=16,color="magenta"];1534 -> 1542[label="",style="dashed", color="magenta", weight=3];
1534 -> 1543[label="",style="dashed", color="magenta", weight=3];
1535[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (GT == GT))",fontsize=16,color="black",shape="box"];1535 -> 1544[label="",style="solid", color="black", weight=3];
1536[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (LT == GT))",fontsize=16,color="black",shape="box"];1536 -> 1545[label="",style="solid", color="black", weight=3];
1537[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) (EQ == GT))",fontsize=16,color="black",shape="box"];1537 -> 1546[label="",style="solid", color="black", weight=3];
1538 -> 1435[label="",style="dashed", color="red", weight=0];
1538[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (primCmpNat wx1610 wx1620 == GT))",fontsize=16,color="magenta"];1538 -> 1547[label="",style="dashed", color="magenta", weight=3];
1538 -> 1548[label="",style="dashed", color="magenta", weight=3];
1539[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (GT == GT))",fontsize=16,color="black",shape="box"];1539 -> 1549[label="",style="solid", color="black", weight=3];
1540[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (LT == GT))",fontsize=16,color="black",shape="box"];1540 -> 1550[label="",style="solid", color="black", weight=3];
1541[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) (EQ == GT))",fontsize=16,color="black",shape="box"];1541 -> 1551[label="",style="solid", color="black", weight=3];
1542[label="wx1520",fontsize=16,color="green",shape="box"];1543[label="wx1530",fontsize=16,color="green",shape="box"];1544[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) True)",fontsize=16,color="black",shape="box"];1544 -> 1552[label="",style="solid", color="black", weight=3];
1545[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) False)",fontsize=16,color="black",shape="triangle"];1545 -> 1553[label="",style="solid", color="black", weight=3];
1546 -> 1545[label="",style="dashed", color="red", weight=0];
1546[label="elemFM0 (lookupFM1 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) False)",fontsize=16,color="magenta"];1547[label="wx1620",fontsize=16,color="green",shape="box"];1548[label="wx1610",fontsize=16,color="green",shape="box"];1549[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) True)",fontsize=16,color="black",shape="box"];1549 -> 1554[label="",style="solid", color="black", weight=3];
1550[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) False)",fontsize=16,color="black",shape="triangle"];1550 -> 1555[label="",style="solid", color="black", weight=3];
1551 -> 1550[label="",style="dashed", color="red", weight=0];
1551[label="elemFM0 (lookupFM1 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) False)",fontsize=16,color="magenta"];1552 -> 5[label="",style="dashed", color="red", weight=0];
1552[label="elemFM0 (lookupFM wx150 (Pos (Succ wx151)))",fontsize=16,color="magenta"];1552 -> 1556[label="",style="dashed", color="magenta", weight=3];
1552 -> 1557[label="",style="dashed", color="magenta", weight=3];
1553[label="elemFM0 (lookupFM0 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) otherwise)",fontsize=16,color="black",shape="box"];1553 -> 1558[label="",style="solid", color="black", weight=3];
1554 -> 5[label="",style="dashed", color="red", weight=0];
1554[label="elemFM0 (lookupFM wx159 (Neg (Succ wx160)))",fontsize=16,color="magenta"];1554 -> 1559[label="",style="dashed", color="magenta", weight=3];
1554 -> 1560[label="",style="dashed", color="magenta", weight=3];
1555[label="elemFM0 (lookupFM0 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) otherwise)",fontsize=16,color="black",shape="box"];1555 -> 1561[label="",style="solid", color="black", weight=3];
1556[label="wx150",fontsize=16,color="green",shape="box"];1557[label="Pos (Succ wx151)",fontsize=16,color="green",shape="box"];1558[label="elemFM0 (lookupFM0 (Pos (Succ wx146)) wx147 wx148 wx149 wx150 (Pos (Succ wx151)) True)",fontsize=16,color="black",shape="box"];1558 -> 1562[label="",style="solid", color="black", weight=3];
1559[label="wx159",fontsize=16,color="green",shape="box"];1560[label="Neg (Succ wx160)",fontsize=16,color="green",shape="box"];1561[label="elemFM0 (lookupFM0 (Neg (Succ wx155)) wx156 wx157 wx158 wx159 (Neg (Succ wx160)) True)",fontsize=16,color="black",shape="box"];1561 -> 1563[label="",style="solid", color="black", weight=3];
1562 -> 223[label="",style="dashed", color="red", weight=0];
1562[label="elemFM0 (Just wx147)",fontsize=16,color="magenta"];1562 -> 1564[label="",style="dashed", color="magenta", weight=3];
1563 -> 223[label="",style="dashed", color="red", weight=0];
1563[label="elemFM0 (Just wx156)",fontsize=16,color="magenta"];1563 -> 1565[label="",style="dashed", color="magenta", weight=3];
1564[label="wx147",fontsize=16,color="green",shape="box"];1565[label="wx156",fontsize=16,color="green",shape="box"];}

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ QDP

                  ↳ DependencyGraphProof

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

new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Zero), bb) → new_elemFM01(wx44, Neg(Zero), bb)
new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, Succ(wx1520), Zero, ba) → new_elemFM01(wx150, Pos(Succ(wx151)), ba)
new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM0(wx4000, wx41, wx42, wx43, wx44, wx300, wx300, wx4000, bb)
new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Zero), bb) → new_elemFM01(wx43, Neg(Zero), bb)
new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Zero), bb) → new_elemFM01(wx44, Pos(Zero), bb)
new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, Succ(wx1520), Succ(wx1530), ba) → new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, wx1520, wx1530, ba)
new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM03(wx4000, wx41, wx42, wx43, wx44, wx300, wx4000, wx300, bb)
new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, Succ(wx1610), Zero, bd) → new_elemFM01(wx159, Neg(Succ(wx160)), bd)
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Zero, Succ(wx800), bc) → new_elemFM01(wx76, Neg(Succ(wx78)), bc)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx700), Zero, h) → new_elemFM00(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx69), Succ(wx64), h)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx700), Succ(wx710), h) → new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, wx700, wx710, h)
new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, Succ(wx1610), Succ(wx1620), bd) → new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, wx1610, wx1620, bd)
new_elemFM01(Branch(Pos(Zero), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM01(wx44, Pos(Succ(wx300)), bb)
new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Zero), bb) → new_elemFM01(wx43, Pos(Zero), bb)
new_elemFM01(Branch(Neg(wx400), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM01(wx44, Pos(Succ(wx300)), bb)
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx790), Zero, bc) → new_elemFM04(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx73), Succ(wx78), bc)
new_elemFM02(wx64, wx65, wx66, wx67, wx68, wx69, h) → new_elemFM00(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx69), Succ(wx64), h)
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx790), Succ(wx800), bc) → new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, wx790, wx800, bc)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Zero, Succ(wx710), h) → new_elemFM01(wx67, Pos(Succ(wx69)), h)
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Zero, Zero, bc) → new_elemFM05(wx73, wx74, wx75, wx76, wx77, wx78, bc)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Zero, Zero, h) → new_elemFM02(wx64, wx65, wx66, wx67, wx68, wx69, h)
new_elemFM01(Branch(Neg(Zero), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM01(wx43, Neg(Succ(wx300)), bb)
new_elemFM05(wx73, wx74, wx75, wx76, wx77, wx78, bc) → new_elemFM04(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx73), Succ(wx78), bc)
new_elemFM01(Branch(Pos(wx400), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM01(wx43, Neg(Succ(wx300)), bb)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 4 SCCs.

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ QDP

                  ↳ DependencyGraphProof

                    ↳ AND

                      ↳ QDP

                        ↳ QDPSizeChangeProof

                      ↳ QDP

                      ↳ QDP

                      ↳ QDP

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

new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx790), Zero, bc) → new_elemFM04(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx73), Succ(wx78), bc)
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx790), Succ(wx800), bc) → new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, wx790, wx800, bc)
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Zero, Zero, bc) → new_elemFM05(wx73, wx74, wx75, wx76, wx77, wx78, bc)
new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM03(wx4000, wx41, wx42, wx43, wx44, wx300, wx4000, wx300, bb)
new_elemFM01(Branch(Neg(Zero), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM01(wx43, Neg(Succ(wx300)), bb)
new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, Succ(wx1610), Zero, bd) → new_elemFM01(wx159, Neg(Succ(wx160)), bd)
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Zero, Succ(wx800), bc) → new_elemFM01(wx76, Neg(Succ(wx78)), bc)
new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, Succ(wx1610), Succ(wx1620), bd) → new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, wx1610, wx1620, bd)
new_elemFM05(wx73, wx74, wx75, wx76, wx77, wx78, bc) → new_elemFM04(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx73), Succ(wx78), bc)
new_elemFM01(Branch(Pos(wx400), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM01(wx43, Neg(Succ(wx300)), bb)

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_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM03(wx4000, wx41, wx42, wx43, wx44, wx300, wx4000, wx300, bb)
The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 2 > 6, 1 > 7, 2 > 8, 3 >= 9
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx790), Succ(wx800), bc) → new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, wx790, wx800, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 > 7, 8 > 8, 9 >= 9
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Zero, Succ(wx800), bc) → new_elemFM01(wx76, Neg(Succ(wx78)), bc)
The graph contains the following edges 4 >= 1, 9 >= 3
new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, Succ(wx1610), Zero, bd) → new_elemFM01(wx159, Neg(Succ(wx160)), bd)
The graph contains the following edges 5 >= 1, 9 >= 3
new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, Succ(wx1610), Succ(wx1620), bd) → new_elemFM04(wx155, wx156, wx157, wx158, wx159, wx160, wx1610, wx1620, bd)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 > 7, 8 > 8, 9 >= 9
new_elemFM05(wx73, wx74, wx75, wx76, wx77, wx78, bc) → new_elemFM04(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx73), Succ(wx78), bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 9
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx790), Zero, bc) → new_elemFM04(wx73, wx74, wx75, wx76, wx77, wx78, Succ(wx73), Succ(wx78), bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 9 >= 9
new_elemFM03(wx73, wx74, wx75, wx76, wx77, wx78, Zero, Zero, bc) → new_elemFM05(wx73, wx74, wx75, wx76, wx77, wx78, bc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 9 >= 7
new_elemFM01(Branch(Neg(Zero), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM01(wx43, Neg(Succ(wx300)), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3
new_elemFM01(Branch(Pos(wx400), wx41, wx42, wx43, wx44), Neg(Succ(wx300)), bb) → new_elemFM01(wx43, Neg(Succ(wx300)), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ QDP

                  ↳ DependencyGraphProof

                    ↳ AND

                      ↳ QDP

                      ↳ QDP

                        ↳ QDPSizeChangeProof

                      ↳ QDP

                      ↳ QDP

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

new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Zero), bb) → new_elemFM01(wx43, Pos(Zero), bb)
new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Zero), bb) → new_elemFM01(wx44, Pos(Zero), bb)

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

new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Zero), bb) → new_elemFM01(wx43, Pos(Zero), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3
new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Zero), bb) → new_elemFM01(wx44, Pos(Zero), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ QDP

                  ↳ DependencyGraphProof

                    ↳ AND

                      ↳ QDP

                      ↳ QDP

                      ↳ QDP

                        ↳ QDPSizeChangeProof

                      ↳ QDP

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

new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, Succ(wx1520), Zero, ba) → new_elemFM01(wx150, Pos(Succ(wx151)), ba)
new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM0(wx4000, wx41, wx42, wx43, wx44, wx300, wx300, wx4000, bb)
new_elemFM01(Branch(Neg(wx400), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM01(wx44, Pos(Succ(wx300)), bb)
new_elemFM02(wx64, wx65, wx66, wx67, wx68, wx69, h) → new_elemFM00(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx69), Succ(wx64), h)
new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, Succ(wx1520), Succ(wx1530), ba) → new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, wx1520, wx1530, ba)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Zero, Succ(wx710), h) → new_elemFM01(wx67, Pos(Succ(wx69)), h)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Zero, Zero, h) → new_elemFM02(wx64, wx65, wx66, wx67, wx68, wx69, h)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx700), Zero, h) → new_elemFM00(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx69), Succ(wx64), h)
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx700), Succ(wx710), h) → new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, wx700, wx710, h)
new_elemFM01(Branch(Pos(Zero), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM01(wx44, Pos(Succ(wx300)), bb)

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

new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Zero, Succ(wx710), h) → new_elemFM01(wx67, Pos(Succ(wx69)), h)
The graph contains the following edges 4 >= 1, 9 >= 3
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx700), Succ(wx710), h) → new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, wx700, wx710, h)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 > 7, 8 > 8, 9 >= 9
new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, Succ(wx1520), Succ(wx1530), ba) → new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, wx1520, wx1530, ba)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 > 7, 8 > 8, 9 >= 9
new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM0(wx4000, wx41, wx42, wx43, wx44, wx300, wx300, wx4000, bb)
The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 2 > 6, 2 > 7, 1 > 8, 3 >= 9
new_elemFM02(wx64, wx65, wx66, wx67, wx68, wx69, h) → new_elemFM00(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx69), Succ(wx64), h)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 9
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx700), Zero, h) → new_elemFM00(wx64, wx65, wx66, wx67, wx68, wx69, Succ(wx69), Succ(wx64), h)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 9 >= 9
new_elemFM0(wx64, wx65, wx66, wx67, wx68, wx69, Zero, Zero, h) → new_elemFM02(wx64, wx65, wx66, wx67, wx68, wx69, h)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 9 >= 7
new_elemFM00(wx146, wx147, wx148, wx149, wx150, wx151, Succ(wx1520), Zero, ba) → new_elemFM01(wx150, Pos(Succ(wx151)), ba)
The graph contains the following edges 5 >= 1, 9 >= 3
new_elemFM01(Branch(Pos(Zero), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM01(wx44, Pos(Succ(wx300)), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3
new_elemFM01(Branch(Neg(wx400), wx41, wx42, wx43, wx44), Pos(Succ(wx300)), bb) → new_elemFM01(wx44, Pos(Succ(wx300)), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

↳ HASKELL

  ↳ CR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ Narrow

                ↳ QDP

                  ↳ DependencyGraphProof

                    ↳ AND

                      ↳ QDP

                      ↳ QDP

                      ↳ QDP

                      ↳ QDP

                        ↳ QDPSizeChangeProof

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

new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Zero), bb) → new_elemFM01(wx44, Neg(Zero), bb)
new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Zero), bb) → new_elemFM01(wx43, Neg(Zero), bb)

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

new_elemFM01(Branch(Pos(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Zero), bb) → new_elemFM01(wx43, Neg(Zero), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3
new_elemFM01(Branch(Neg(Succ(wx4000)), wx41, wx42, wx43, wx44), Neg(Zero), bb) → new_elemFM01(wx44, Neg(Zero), bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

lookupFM	EmptyFM key	= lookupFM4 EmptyFM key
lookupFM	(Branch key elt vw fm_l fm_r) key_to_find	= lookupFM3 (Branch key elt vw fm_l fm_r) key_to_find

lookupFM2	key elt vw fm_l fm_r key_to_find True	= lookupFM fm_l key_to_find
lookupFM2	key elt vw fm_l fm_r key_to_find False	= lookupFM1 key elt vw fm_l fm_r key_to_find (key_to_find > key)

lookupFM1	key elt vw fm_l fm_r key_to_find True	= lookupFM fm_r key_to_find
lookupFM1	key elt vw fm_l fm_r key_to_find False	= lookupFM0 key elt vw fm_l fm_r key_to_find otherwise

lookupFM4	EmptyFM key	= Nothing
lookupFM4	wv ww	= lookupFM3 wv ww