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

YES 113.91 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

  ↳ IFR

mainModule List

((genericLength :: [a] -> Ratio Int) :: [a] -> Ratio Int)

module List where

import qualified Maybe
import qualified Prelude

genericLength :: Num a => [b] -> a

genericLength	[]	=	0
genericLength	(_ : l)	=	1 + genericLength l

module Maybe where

import qualified List
import qualified Prelude

If Reductions:
The following If expression

if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero

is transformed to

primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y))

primDivNatS0 x y False = Zero

The following If expression

if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x

is transformed to

primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y)

primModNatS0 x y False = Succ x

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

mainModule List

((genericLength :: [a] -> Ratio Int) :: [a] -> Ratio Int)

module List where

import qualified Maybe
import qualified Prelude

genericLength :: Num a => [b] -> a

genericLength	[]	=	0
genericLength	(_ : l)	=	1 + genericLength l

module Maybe where

import qualified List
import qualified Prelude

Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

mainModule List

((genericLength :: [a] -> Ratio Int) :: [a] -> Ratio Int)

module List where

import qualified Maybe
import qualified Prelude

genericLength :: Num b => [a] -> b

genericLength	[]	=	0
genericLength	(vw : l)	=	1 + genericLength l

module Maybe where

import qualified List
import qualified Prelude

Cond Reductions:
The following Function with conditions

gcd' x 0 = x

gcd' x y = gcd' y (x `rem` y)

is transformed to

gcd' x yv = gcd'2 x yv

gcd' x y = gcd'0 x y

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x yv = x

gcd'1 yw yx yy = gcd'0 yx yy

gcd'2 x yv = gcd'1 (yv == 0) x yv

gcd'2 yz zu = gcd'0 yz zu

The following Function with conditions

gcd 0 0 = error []

gcd x y =

gcd' (abs x) (abs y)

where

gcd' x 0 = x

gcd' x y = gcd' y (x `rem` y)

is transformed to

gcd zv zw = gcd3 zv zw

gcd x y = gcd0 x y

gcd0 x y =

gcd' (abs x) (abs y)

where

gcd' x yv = gcd'2 x yv

gcd' x y = gcd'0 x y

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x yv = x

gcd'1 yw yx yy = gcd'0 yx yy

gcd'2 x yv = gcd'1 (yv == 0) x yv

gcd'2 yz zu = gcd'0 yz zu

gcd1 True zv zw = error []

gcd1 zx zy zz = gcd0 zy zz

gcd2 True zv zw = gcd1 (zw == 0) zv zw

gcd2 vuu vuv vuw = gcd0 vuv vuw

gcd3 zv zw = gcd2 (zv == 0) zv zw

gcd3 vux vuy = gcd0 vux vuy

The following Function with conditions

absReal x

| x >= 0

= x

| otherwise

= `negate` x

is transformed to

absReal x = absReal2 x

absReal0 x True = `negate` x

absReal1 x True = x

absReal1 x False = absReal0 x otherwise

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions

undefined

| False

= undefined

is transformed to

undefined = undefined1

undefined0 True = undefined

undefined1 = undefined0 False

The following Function with conditions

reduce x y

| y == 0

= error []

| otherwise

= x `quot` d :% (y `quot` d)

where

d = gcd x y

is transformed to

reduce x y = reduce2 x y

reduce2 x y =

reduce1 x y (y == 0)

where

d = gcd x y

reduce0 x y True = x `quot` d :% (y `quot` d)

reduce1 x y True = error []

reduce1 x y False = reduce0 x y otherwise

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

mainModule List

((genericLength :: [a] -> Ratio Int) :: [a] -> Ratio Int)

module List where

import qualified Maybe
import qualified Prelude

genericLength :: Num b => [a] -> b

genericLength	[]	=	0
genericLength	(vw : l)	=	1 + genericLength l

module Maybe where

import qualified List
import qualified Prelude

Let/Where Reductions:
The bindings of the following Let/Where expression

reduce1 x y (y == 0)

where

d = gcd x y

reduce0 x y True = x `quot` d :% (y `quot` d)

reduce1 x y True = error []

reduce1 x y False = reduce0 x y otherwise

are unpacked to the following functions on top level

reduce2Reduce0 vuz vvu x y True = x `quot` reduce2D vuz vvu :% (y `quot` reduce2D vuz vvu)

reduce2Reduce1 vuz vvu x y True = error []

reduce2Reduce1 vuz vvu x y False = reduce2Reduce0 vuz vvu x y otherwise

reduce2D vuz vvu = gcd vuz vvu

The bindings of the following Let/Where expression

gcd' (abs x) (abs y)

where

gcd' x yv = gcd'2 x yv

gcd' x y = gcd'0 x y

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x yv = x

gcd'1 yw yx yy = gcd'0 yx yy

gcd'2 x yv = gcd'1 (yv == 0) x yv

gcd'2 yz zu = gcd'0 yz zu

are unpacked to the following functions on top level

gcd0Gcd' x yv = gcd0Gcd'2 x yv

gcd0Gcd' x y = gcd0Gcd'0 x y

gcd0Gcd'1 True x yv = x

gcd0Gcd'1 yw yx yy = gcd0Gcd'0 yx yy

gcd0Gcd'0 x y = gcd0Gcd' y (x `rem` y)

gcd0Gcd'2 x yv = gcd0Gcd'1 (yv == 0) x yv

gcd0Gcd'2 yz zu = gcd0Gcd'0 yz zu

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

mainModule List

((genericLength :: [a] -> Ratio Int) :: [a] -> Ratio Int)

module List where

import qualified Maybe
import qualified Prelude

genericLength :: Num b => [a] -> b

genericLength	[]	=	0
genericLength	(vw : l)	=	1 + genericLength l

module Maybe where

import qualified List
import qualified Prelude

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

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

mainModule List

(genericLength :: [a] -> Ratio Int)

module List where

import qualified Maybe
import qualified Prelude

genericLength :: Num a => [b] -> a

genericLength	[]	=	fromInt (Pos Zero)
genericLength	(vw : l)	=	fromInt (Pos (Succ Zero)) + genericLength l

module Maybe where

import qualified List
import qualified Prelude

Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="genericLength",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="genericLength vvv3",fontsize=16,color="burlywood",shape="triangle"];28968[label="vvv3/vvv30 : vvv31",fontsize=10,color="white",style="solid",shape="box"];3 -> 28968[label="",style="solid", color="burlywood", weight=9];
28968 -> 4[label="",style="solid", color="burlywood", weight=3];
28969[label="vvv3/[]",fontsize=10,color="white",style="solid",shape="box"];3 -> 28969[label="",style="solid", color="burlywood", weight=9];
28969 -> 5[label="",style="solid", color="burlywood", weight=3];
4[label="genericLength (vvv30 : vvv31)",fontsize=16,color="black",shape="box"];4 -> 6[label="",style="solid", color="black", weight=3];
5[label="genericLength []",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
6 -> 8[label="",style="dashed", color="red", weight=0];
6[label="fromInt (Pos (Succ Zero)) + genericLength vvv31",fontsize=16,color="magenta"];6 -> 9[label="",style="dashed", color="magenta", weight=3];
7[label="fromInt (Pos Zero)",fontsize=16,color="black",shape="box"];7 -> 10[label="",style="solid", color="black", weight=3];
9 -> 3[label="",style="dashed", color="red", weight=0];
9[label="genericLength vvv31",fontsize=16,color="magenta"];9 -> 11[label="",style="dashed", color="magenta", weight=3];
8[label="fromInt (Pos (Succ Zero)) + vvv4",fontsize=16,color="black",shape="triangle"];8 -> 12[label="",style="solid", color="black", weight=3];
10[label="intToRatio (Pos Zero)",fontsize=16,color="black",shape="box"];10 -> 13[label="",style="solid", color="black", weight=3];
11[label="vvv31",fontsize=16,color="green",shape="box"];12[label="intToRatio (Pos (Succ Zero)) + vvv4",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
13[label="fromInt (Pos Zero) :% fromInt (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];13 -> 15[label="",style="dashed", color="green", weight=3];
13 -> 16[label="",style="dashed", color="green", weight=3];
14[label="fromInt (Pos (Succ Zero)) :% fromInt (Pos (Succ Zero)) + vvv4",fontsize=16,color="black",shape="box"];14 -> 17[label="",style="solid", color="black", weight=3];
15[label="fromInt (Pos Zero)",fontsize=16,color="black",shape="triangle"];15 -> 18[label="",style="solid", color="black", weight=3];
16[label="fromInt (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];16 -> 19[label="",style="solid", color="black", weight=3];
17 -> 20[label="",style="dashed", color="red", weight=0];
17[label="Pos (Succ Zero) :% fromInt (Pos (Succ Zero)) + vvv4",fontsize=16,color="magenta"];17 -> 21[label="",style="dashed", color="magenta", weight=3];
18[label="Pos Zero",fontsize=16,color="green",shape="box"];19[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];21 -> 16[label="",style="dashed", color="red", weight=0];
21[label="fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];20[label="Pos (Succ Zero) :% vvv5 + vvv4",fontsize=16,color="burlywood",shape="triangle"];28974[label="vvv4/vvv40 :% vvv41",fontsize=10,color="white",style="solid",shape="box"];20 -> 28974[label="",style="solid", color="burlywood", weight=9];
28974 -> 22[label="",style="solid", color="burlywood", weight=3];
22[label="Pos (Succ Zero) :% vvv5 + vvv40 :% vvv41",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3];
23[label="reduce (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41)",fontsize=16,color="black",shape="box"];23 -> 24[label="",style="solid", color="black", weight=3];
24[label="reduce2 (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41)",fontsize=16,color="black",shape="box"];24 -> 25[label="",style="solid", color="black", weight=3];
25 -> 26[label="",style="dashed", color="red", weight=0];
25[label="reduce2Reduce1 (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41) (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41) (vvv5 * vvv41 == fromInt (Pos Zero))",fontsize=16,color="magenta"];25 -> 27[label="",style="dashed", color="magenta", weight=3];
27 -> 15[label="",style="dashed", color="red", weight=0];
27[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];26[label="reduce2Reduce1 (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41) (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41) (vvv5 * vvv41 == vvv6)",fontsize=16,color="black",shape="triangle"];26 -> 28[label="",style="solid", color="black", weight=3];
28[label="reduce2Reduce1 (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41) (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (vvv5 * vvv41) (primEqInt (vvv5 * vvv41) vvv6)",fontsize=16,color="black",shape="box"];28 -> 29[label="",style="solid", color="black", weight=3];
29[label="reduce2Reduce1 (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (primMulInt vvv5 vvv41) (Pos (Succ Zero) * vvv41 + vvv40 * vvv5) (primMulInt vvv5 vvv41) (primEqInt (primMulInt vvv5 vvv41) vvv6)",fontsize=16,color="burlywood",shape="box"];28977[label="vvv5/Pos vvv50",fontsize=10,color="white",style="solid",shape="box"];29 -> 28977[label="",style="solid", color="burlywood", weight=9];
28977 -> 30[label="",style="solid", color="burlywood", weight=3];
28978[label="vvv5/Neg vvv50",fontsize=10,color="white",style="solid",shape="box"];29 -> 28978[label="",style="solid", color="burlywood", weight=9];
28978 -> 31[label="",style="solid", color="burlywood", weight=3];
30[label="reduce2Reduce1 (Pos (Succ Zero) * vvv41 + vvv40 * Pos vvv50) (primMulInt (Pos vvv50) vvv41) (Pos (Succ Zero) * vvv41 + vvv40 * Pos vvv50) (primMulInt (Pos vvv50) vvv41) (primEqInt (primMulInt (Pos vvv50) vvv41) vvv6)",fontsize=16,color="burlywood",shape="box"];28979[label="vvv41/Pos vvv410",fontsize=10,color="white",style="solid",shape="box"];30 -> 28979[label="",style="solid", color="burlywood", weight=9];
28979 -> 32[label="",style="solid", color="burlywood", weight=3];
28980[label="vvv41/Neg vvv410",fontsize=10,color="white",style="solid",shape="box"];30 -> 28980[label="",style="solid", color="burlywood", weight=9];
28980 -> 33[label="",style="solid", color="burlywood", weight=3];
31[label="reduce2Reduce1 (Pos (Succ Zero) * vvv41 + vvv40 * Neg vvv50) (primMulInt (Neg vvv50) vvv41) (Pos (Succ Zero) * vvv41 + vvv40 * Neg vvv50) (primMulInt (Neg vvv50) vvv41) (primEqInt (primMulInt (Neg vvv50) vvv41) vvv6)",fontsize=16,color="burlywood",shape="box"];28981[label="vvv41/Pos vvv410",fontsize=10,color="white",style="solid",shape="box"];31 -> 28981[label="",style="solid", color="burlywood", weight=9];
28981 -> 34[label="",style="solid", color="burlywood", weight=3];
28982[label="vvv41/Neg vvv410",fontsize=10,color="white",style="solid",shape="box"];31 -> 28982[label="",style="solid", color="burlywood", weight=9];
28982 -> 35[label="",style="solid", color="burlywood", weight=3];
32[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos vvv50) (primMulInt (Pos vvv50) (Pos vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos vvv50) (primMulInt (Pos vvv50) (Pos vvv410)) (primEqInt (primMulInt (Pos vvv50) (Pos vvv410)) vvv6)",fontsize=16,color="black",shape="box"];32 -> 36[label="",style="solid", color="black", weight=3];
33[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos vvv50) (primMulInt (Pos vvv50) (Neg vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos vvv50) (primMulInt (Pos vvv50) (Neg vvv410)) (primEqInt (primMulInt (Pos vvv50) (Neg vvv410)) vvv6)",fontsize=16,color="black",shape="box"];33 -> 37[label="",style="solid", color="black", weight=3];
34[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg vvv50) (primMulInt (Neg vvv50) (Pos vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg vvv50) (primMulInt (Neg vvv50) (Pos vvv410)) (primEqInt (primMulInt (Neg vvv50) (Pos vvv410)) vvv6)",fontsize=16,color="black",shape="box"];34 -> 38[label="",style="solid", color="black", weight=3];
35[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg vvv50) (primMulInt (Neg vvv50) (Neg vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg vvv50) (primMulInt (Neg vvv50) (Neg vvv410)) (primEqInt (primMulInt (Neg vvv50) (Neg vvv410)) vvv6)",fontsize=16,color="black",shape="box"];35 -> 39[label="",style="solid", color="black", weight=3];
36[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos vvv50) (Pos (primMulNat vvv50 vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos vvv50) (Pos (primMulNat vvv50 vvv410)) (primEqInt (Pos (primMulNat vvv50 vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28983[label="vvv50/Succ vvv500",fontsize=10,color="white",style="solid",shape="box"];36 -> 28983[label="",style="solid", color="burlywood", weight=9];
28983 -> 40[label="",style="solid", color="burlywood", weight=3];
28984[label="vvv50/Zero",fontsize=10,color="white",style="solid",shape="box"];36 -> 28984[label="",style="solid", color="burlywood", weight=9];
28984 -> 41[label="",style="solid", color="burlywood", weight=3];
37[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos vvv50) (Neg (primMulNat vvv50 vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos vvv50) (Neg (primMulNat vvv50 vvv410)) (primEqInt (Neg (primMulNat vvv50 vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28985[label="vvv50/Succ vvv500",fontsize=10,color="white",style="solid",shape="box"];37 -> 28985[label="",style="solid", color="burlywood", weight=9];
28985 -> 42[label="",style="solid", color="burlywood", weight=3];
28986[label="vvv50/Zero",fontsize=10,color="white",style="solid",shape="box"];37 -> 28986[label="",style="solid", color="burlywood", weight=9];
28986 -> 43[label="",style="solid", color="burlywood", weight=3];
38[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg vvv50) (Neg (primMulNat vvv50 vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg vvv50) (Neg (primMulNat vvv50 vvv410)) (primEqInt (Neg (primMulNat vvv50 vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28987[label="vvv50/Succ vvv500",fontsize=10,color="white",style="solid",shape="box"];38 -> 28987[label="",style="solid", color="burlywood", weight=9];
28987 -> 44[label="",style="solid", color="burlywood", weight=3];
28988[label="vvv50/Zero",fontsize=10,color="white",style="solid",shape="box"];38 -> 28988[label="",style="solid", color="burlywood", weight=9];
28988 -> 45[label="",style="solid", color="burlywood", weight=3];
39[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg vvv50) (Pos (primMulNat vvv50 vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg vvv50) (Pos (primMulNat vvv50 vvv410)) (primEqInt (Pos (primMulNat vvv50 vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28989[label="vvv50/Succ vvv500",fontsize=10,color="white",style="solid",shape="box"];39 -> 28989[label="",style="solid", color="burlywood", weight=9];
28989 -> 46[label="",style="solid", color="burlywood", weight=3];
28990[label="vvv50/Zero",fontsize=10,color="white",style="solid",shape="box"];39 -> 28990[label="",style="solid", color="burlywood", weight=9];
28990 -> 47[label="",style="solid", color="burlywood", weight=3];
40[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos (Succ vvv500)) (Pos (primMulNat (Succ vvv500) vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos (Succ vvv500)) (Pos (primMulNat (Succ vvv500) vvv410)) (primEqInt (Pos (primMulNat (Succ vvv500) vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28991[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];40 -> 28991[label="",style="solid", color="burlywood", weight=9];
28991 -> 48[label="",style="solid", color="burlywood", weight=3];
28992[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];40 -> 28992[label="",style="solid", color="burlywood", weight=9];
28992 -> 49[label="",style="solid", color="burlywood", weight=3];
41[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos Zero) (Pos (primMulNat Zero vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Pos Zero) (Pos (primMulNat Zero vvv410)) (primEqInt (Pos (primMulNat Zero vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28993[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];41 -> 28993[label="",style="solid", color="burlywood", weight=9];
28993 -> 50[label="",style="solid", color="burlywood", weight=3];
28994[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];41 -> 28994[label="",style="solid", color="burlywood", weight=9];
28994 -> 51[label="",style="solid", color="burlywood", weight=3];
42[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos (Succ vvv500)) (Neg (primMulNat (Succ vvv500) vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos (Succ vvv500)) (Neg (primMulNat (Succ vvv500) vvv410)) (primEqInt (Neg (primMulNat (Succ vvv500) vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28995[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];42 -> 28995[label="",style="solid", color="burlywood", weight=9];
28995 -> 52[label="",style="solid", color="burlywood", weight=3];
28996[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];42 -> 28996[label="",style="solid", color="burlywood", weight=9];
28996 -> 53[label="",style="solid", color="burlywood", weight=3];
43[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos Zero) (Neg (primMulNat Zero vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Pos Zero) (Neg (primMulNat Zero vvv410)) (primEqInt (Neg (primMulNat Zero vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28997[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];43 -> 28997[label="",style="solid", color="burlywood", weight=9];
28997 -> 54[label="",style="solid", color="burlywood", weight=3];
28998[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];43 -> 28998[label="",style="solid", color="burlywood", weight=9];
28998 -> 55[label="",style="solid", color="burlywood", weight=3];
44[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg (Succ vvv500)) (Neg (primMulNat (Succ vvv500) vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg (Succ vvv500)) (Neg (primMulNat (Succ vvv500) vvv410)) (primEqInt (Neg (primMulNat (Succ vvv500) vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];28999[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];44 -> 28999[label="",style="solid", color="burlywood", weight=9];
28999 -> 56[label="",style="solid", color="burlywood", weight=3];
29000[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];44 -> 29000[label="",style="solid", color="burlywood", weight=9];
29000 -> 57[label="",style="solid", color="burlywood", weight=3];
45[label="reduce2Reduce1 (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg Zero) (Neg (primMulNat Zero vvv410)) (Pos (Succ Zero) * Pos vvv410 + vvv40 * Neg Zero) (Neg (primMulNat Zero vvv410)) (primEqInt (Neg (primMulNat Zero vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];29001[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];45 -> 29001[label="",style="solid", color="burlywood", weight=9];
29001 -> 58[label="",style="solid", color="burlywood", weight=3];
29002[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];45 -> 29002[label="",style="solid", color="burlywood", weight=9];
29002 -> 59[label="",style="solid", color="burlywood", weight=3];
46[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg (Succ vvv500)) (Pos (primMulNat (Succ vvv500) vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg (Succ vvv500)) (Pos (primMulNat (Succ vvv500) vvv410)) (primEqInt (Pos (primMulNat (Succ vvv500) vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];29003[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];46 -> 29003[label="",style="solid", color="burlywood", weight=9];
29003 -> 60[label="",style="solid", color="burlywood", weight=3];
29004[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];46 -> 29004[label="",style="solid", color="burlywood", weight=9];
29004 -> 61[label="",style="solid", color="burlywood", weight=3];
47[label="reduce2Reduce1 (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg Zero) (Pos (primMulNat Zero vvv410)) (Pos (Succ Zero) * Neg vvv410 + vvv40 * Neg Zero) (Pos (primMulNat Zero vvv410)) (primEqInt (Pos (primMulNat Zero vvv410)) vvv6)",fontsize=16,color="burlywood",shape="box"];29005[label="vvv410/Succ vvv4100",fontsize=10,color="white",style="solid",shape="box"];47 -> 29005[label="",style="solid", color="burlywood", weight=9];
29005 -> 62[label="",style="solid", color="burlywood", weight=3];
29006[label="vvv410/Zero",fontsize=10,color="white",style="solid",shape="box"];47 -> 29006[label="",style="solid", color="burlywood", weight=9];
29006 -> 63[label="",style="solid", color="burlywood", weight=3];
48[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Pos (primMulNat (Succ vvv500) (Succ vvv4100))) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Pos (primMulNat (Succ vvv500) (Succ vvv4100))) (primEqInt (Pos (primMulNat (Succ vvv500) (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];48 -> 64[label="",style="solid", color="black", weight=3];
49[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos (primMulNat (Succ vvv500) Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos (primMulNat (Succ vvv500) Zero)) (primEqInt (Pos (primMulNat (Succ vvv500) Zero)) vvv6)",fontsize=16,color="black",shape="box"];49 -> 65[label="",style="solid", color="black", weight=3];
50[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos (primMulNat Zero (Succ vvv4100))) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos (primMulNat Zero (Succ vvv4100))) (primEqInt (Pos (primMulNat Zero (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];50 -> 66[label="",style="solid", color="black", weight=3];
51[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos (primMulNat Zero Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos (primMulNat Zero Zero)) (primEqInt (Pos (primMulNat Zero Zero)) vvv6)",fontsize=16,color="black",shape="box"];51 -> 67[label="",style="solid", color="black", weight=3];
52[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Neg (primMulNat (Succ vvv500) (Succ vvv4100))) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Neg (primMulNat (Succ vvv500) (Succ vvv4100))) (primEqInt (Neg (primMulNat (Succ vvv500) (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];52 -> 68[label="",style="solid", color="black", weight=3];
53[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg (primMulNat (Succ vvv500) Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg (primMulNat (Succ vvv500) Zero)) (primEqInt (Neg (primMulNat (Succ vvv500) Zero)) vvv6)",fontsize=16,color="black",shape="box"];53 -> 69[label="",style="solid", color="black", weight=3];
54[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg (primMulNat Zero (Succ vvv4100))) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg (primMulNat Zero (Succ vvv4100))) (primEqInt (Neg (primMulNat Zero (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];54 -> 70[label="",style="solid", color="black", weight=3];
55[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg (primMulNat Zero Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg (primMulNat Zero Zero)) (primEqInt (Neg (primMulNat Zero Zero)) vvv6)",fontsize=16,color="black",shape="box"];55 -> 71[label="",style="solid", color="black", weight=3];
56[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Neg (primMulNat (Succ vvv500) (Succ vvv4100))) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Neg (primMulNat (Succ vvv500) (Succ vvv4100))) (primEqInt (Neg (primMulNat (Succ vvv500) (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];56 -> 72[label="",style="solid", color="black", weight=3];
57[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg (primMulNat (Succ vvv500) Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg (primMulNat (Succ vvv500) Zero)) (primEqInt (Neg (primMulNat (Succ vvv500) Zero)) vvv6)",fontsize=16,color="black",shape="box"];57 -> 73[label="",style="solid", color="black", weight=3];
58[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg (primMulNat Zero (Succ vvv4100))) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg (primMulNat Zero (Succ vvv4100))) (primEqInt (Neg (primMulNat Zero (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];58 -> 74[label="",style="solid", color="black", weight=3];
59[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg (primMulNat Zero Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg (primMulNat Zero Zero)) (primEqInt (Neg (primMulNat Zero Zero)) vvv6)",fontsize=16,color="black",shape="box"];59 -> 75[label="",style="solid", color="black", weight=3];
60[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Pos (primMulNat (Succ vvv500) (Succ vvv4100))) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Pos (primMulNat (Succ vvv500) (Succ vvv4100))) (primEqInt (Pos (primMulNat (Succ vvv500) (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];60 -> 76[label="",style="solid", color="black", weight=3];
61[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos (primMulNat (Succ vvv500) Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos (primMulNat (Succ vvv500) Zero)) (primEqInt (Pos (primMulNat (Succ vvv500) Zero)) vvv6)",fontsize=16,color="black",shape="box"];61 -> 77[label="",style="solid", color="black", weight=3];
62[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos (primMulNat Zero (Succ vvv4100))) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos (primMulNat Zero (Succ vvv4100))) (primEqInt (Pos (primMulNat Zero (Succ vvv4100))) vvv6)",fontsize=16,color="black",shape="box"];62 -> 78[label="",style="solid", color="black", weight=3];
63[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos (primMulNat Zero Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos (primMulNat Zero Zero)) (primEqInt (Pos (primMulNat Zero Zero)) vvv6)",fontsize=16,color="black",shape="box"];63 -> 79[label="",style="solid", color="black", weight=3];
64 -> 1599[label="",style="dashed", color="red", weight=0];
64[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Pos (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Pos (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (primEqInt (Pos (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) vvv6)",fontsize=16,color="magenta"];64 -> 1600[label="",style="dashed", color="magenta", weight=3];
64 -> 1601[label="",style="dashed", color="magenta", weight=3];
64 -> 1602[label="",style="dashed", color="magenta", weight=3];
64 -> 1603[label="",style="dashed", color="magenta", weight=3];
64 -> 1604[label="",style="dashed", color="magenta", weight=3];
64 -> 1605[label="",style="dashed", color="magenta", weight=3];
64 -> 1606[label="",style="dashed", color="magenta", weight=3];
65[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29008[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];65 -> 29008[label="",style="solid", color="burlywood", weight=9];
29008 -> 82[label="",style="solid", color="burlywood", weight=3];
29009[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];65 -> 29009[label="",style="solid", color="burlywood", weight=9];
29009 -> 83[label="",style="solid", color="burlywood", weight=3];
66[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29010[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];66 -> 29010[label="",style="solid", color="burlywood", weight=9];
29010 -> 84[label="",style="solid", color="burlywood", weight=3];
29011[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];66 -> 29011[label="",style="solid", color="burlywood", weight=9];
29011 -> 85[label="",style="solid", color="burlywood", weight=3];
67[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29012[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];67 -> 29012[label="",style="solid", color="burlywood", weight=9];
29012 -> 86[label="",style="solid", color="burlywood", weight=3];
29013[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];67 -> 29013[label="",style="solid", color="burlywood", weight=9];
29013 -> 87[label="",style="solid", color="burlywood", weight=3];
68 -> 925[label="",style="dashed", color="red", weight=0];
68[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Neg (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos (Succ vvv500)) (Neg (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (primEqInt (Neg (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) vvv6)",fontsize=16,color="magenta"];68 -> 926[label="",style="dashed", color="magenta", weight=3];
68 -> 927[label="",style="dashed", color="magenta", weight=3];
68 -> 928[label="",style="dashed", color="magenta", weight=3];
68 -> 929[label="",style="dashed", color="magenta", weight=3];
68 -> 930[label="",style="dashed", color="magenta", weight=3];
68 -> 931[label="",style="dashed", color="magenta", weight=3];
68 -> 932[label="",style="dashed", color="magenta", weight=3];
69[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29015[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];69 -> 29015[label="",style="solid", color="burlywood", weight=9];
29015 -> 90[label="",style="solid", color="burlywood", weight=3];
29016[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];69 -> 29016[label="",style="solid", color="burlywood", weight=9];
29016 -> 91[label="",style="solid", color="burlywood", weight=3];
70[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29017[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];70 -> 29017[label="",style="solid", color="burlywood", weight=9];
29017 -> 92[label="",style="solid", color="burlywood", weight=3];
29018[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];70 -> 29018[label="",style="solid", color="burlywood", weight=9];
29018 -> 93[label="",style="solid", color="burlywood", weight=3];
71[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29019[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];71 -> 29019[label="",style="solid", color="burlywood", weight=9];
29019 -> 94[label="",style="solid", color="burlywood", weight=3];
29020[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];71 -> 29020[label="",style="solid", color="burlywood", weight=9];
29020 -> 95[label="",style="solid", color="burlywood", weight=3];
72 -> 998[label="",style="dashed", color="red", weight=0];
72[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Neg (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Neg (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (primEqInt (Neg (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) vvv6)",fontsize=16,color="magenta"];72 -> 999[label="",style="dashed", color="magenta", weight=3];
72 -> 1000[label="",style="dashed", color="magenta", weight=3];
72 -> 1001[label="",style="dashed", color="magenta", weight=3];
72 -> 1002[label="",style="dashed", color="magenta", weight=3];
72 -> 1003[label="",style="dashed", color="magenta", weight=3];
72 -> 1004[label="",style="dashed", color="magenta", weight=3];
72 -> 1005[label="",style="dashed", color="magenta", weight=3];
73[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29022[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];73 -> 29022[label="",style="solid", color="burlywood", weight=9];
29022 -> 98[label="",style="solid", color="burlywood", weight=3];
29023[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];73 -> 29023[label="",style="solid", color="burlywood", weight=9];
29023 -> 99[label="",style="solid", color="burlywood", weight=3];
74[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29024[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];74 -> 29024[label="",style="solid", color="burlywood", weight=9];
29024 -> 100[label="",style="solid", color="burlywood", weight=3];
29025[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];74 -> 29025[label="",style="solid", color="burlywood", weight=9];
29025 -> 101[label="",style="solid", color="burlywood", weight=3];
75[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29026[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];75 -> 29026[label="",style="solid", color="burlywood", weight=9];
29026 -> 102[label="",style="solid", color="burlywood", weight=3];
29027[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];75 -> 29027[label="",style="solid", color="burlywood", weight=9];
29027 -> 103[label="",style="solid", color="burlywood", weight=3];
76 -> 1247[label="",style="dashed", color="red", weight=0];
76[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Pos (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg (Succ vvv500)) (Pos (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) (primEqInt (Pos (primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100))) vvv6)",fontsize=16,color="magenta"];76 -> 1248[label="",style="dashed", color="magenta", weight=3];
76 -> 1249[label="",style="dashed", color="magenta", weight=3];
76 -> 1250[label="",style="dashed", color="magenta", weight=3];
76 -> 1251[label="",style="dashed", color="magenta", weight=3];
76 -> 1252[label="",style="dashed", color="magenta", weight=3];
76 -> 1253[label="",style="dashed", color="magenta", weight=3];
76 -> 1254[label="",style="dashed", color="magenta", weight=3];
77[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29029[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];77 -> 29029[label="",style="solid", color="burlywood", weight=9];
29029 -> 106[label="",style="solid", color="burlywood", weight=3];
29030[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];77 -> 29030[label="",style="solid", color="burlywood", weight=9];
29030 -> 107[label="",style="solid", color="burlywood", weight=3];
78[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29031[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];78 -> 29031[label="",style="solid", color="burlywood", weight=9];
29031 -> 108[label="",style="solid", color="burlywood", weight=3];
29032[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];78 -> 29032[label="",style="solid", color="burlywood", weight=9];
29032 -> 109[label="",style="solid", color="burlywood", weight=3];
79[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) vvv6)",fontsize=16,color="burlywood",shape="box"];29033[label="vvv6/Pos vvv60",fontsize=10,color="white",style="solid",shape="box"];79 -> 29033[label="",style="solid", color="burlywood", weight=9];
29033 -> 110[label="",style="solid", color="burlywood", weight=3];
29034[label="vvv6/Neg vvv60",fontsize=10,color="white",style="solid",shape="box"];79 -> 29034[label="",style="solid", color="burlywood", weight=9];
29034 -> 111[label="",style="solid", color="burlywood", weight=3];
1600[label="vvv6",fontsize=16,color="green",shape="box"];1601[label="vvv40",fontsize=16,color="green",shape="box"];1602[label="vvv4100",fontsize=16,color="green",shape="box"];1603 -> 995[label="",style="dashed", color="red", weight=0];
1603[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1603 -> 1770[label="",style="dashed", color="magenta", weight=3];
1603 -> 1771[label="",style="dashed", color="magenta", weight=3];
1604 -> 995[label="",style="dashed", color="red", weight=0];
1604[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1604 -> 1772[label="",style="dashed", color="magenta", weight=3];
1604 -> 1773[label="",style="dashed", color="magenta", weight=3];
1605 -> 995[label="",style="dashed", color="red", weight=0];
1605[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1605 -> 1774[label="",style="dashed", color="magenta", weight=3];
1605 -> 1775[label="",style="dashed", color="magenta", weight=3];
1606[label="vvv500",fontsize=16,color="green",shape="box"];1599[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos vvv117) vvv12)",fontsize=16,color="burlywood",shape="triangle"];29038[label="vvv117/Succ vvv1170",fontsize=10,color="white",style="solid",shape="box"];1599 -> 29038[label="",style="solid", color="burlywood", weight=9];
29038 -> 1776[label="",style="solid", color="burlywood", weight=3];
29039[label="vvv117/Zero",fontsize=10,color="white",style="solid",shape="box"];1599 -> 29039[label="",style="solid", color="burlywood", weight=9];
29039 -> 1777[label="",style="solid", color="burlywood", weight=3];
82[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29040[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];82 -> 29040[label="",style="solid", color="burlywood", weight=9];
29040 -> 114[label="",style="solid", color="burlywood", weight=3];
29041[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];82 -> 29041[label="",style="solid", color="burlywood", weight=9];
29041 -> 115[label="",style="solid", color="burlywood", weight=3];
83[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29042[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];83 -> 29042[label="",style="solid", color="burlywood", weight=9];
29042 -> 116[label="",style="solid", color="burlywood", weight=3];
29043[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];83 -> 29043[label="",style="solid", color="burlywood", weight=9];
29043 -> 117[label="",style="solid", color="burlywood", weight=3];
84[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29044[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];84 -> 29044[label="",style="solid", color="burlywood", weight=9];
29044 -> 118[label="",style="solid", color="burlywood", weight=3];
29045[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];84 -> 29045[label="",style="solid", color="burlywood", weight=9];
29045 -> 119[label="",style="solid", color="burlywood", weight=3];
85[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29046[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];85 -> 29046[label="",style="solid", color="burlywood", weight=9];
29046 -> 120[label="",style="solid", color="burlywood", weight=3];
29047[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];85 -> 29047[label="",style="solid", color="burlywood", weight=9];
29047 -> 121[label="",style="solid", color="burlywood", weight=3];
86[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29048[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];86 -> 29048[label="",style="solid", color="burlywood", weight=9];
29048 -> 122[label="",style="solid", color="burlywood", weight=3];
29049[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];86 -> 29049[label="",style="solid", color="burlywood", weight=9];
29049 -> 123[label="",style="solid", color="burlywood", weight=3];
87[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29050[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];87 -> 29050[label="",style="solid", color="burlywood", weight=9];
29050 -> 124[label="",style="solid", color="burlywood", weight=3];
29051[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];87 -> 29051[label="",style="solid", color="burlywood", weight=9];
29051 -> 125[label="",style="solid", color="burlywood", weight=3];
926 -> 911[label="",style="dashed", color="red", weight=0];
926[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];926 -> 963[label="",style="dashed", color="magenta", weight=3];
927 -> 911[label="",style="dashed", color="red", weight=0];
927[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];927 -> 964[label="",style="dashed", color="magenta", weight=3];
928 -> 911[label="",style="dashed", color="red", weight=0];
928[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];928 -> 965[label="",style="dashed", color="magenta", weight=3];
929[label="vvv500",fontsize=16,color="green",shape="box"];930[label="vvv6",fontsize=16,color="green",shape="box"];931[label="vvv4100",fontsize=16,color="green",shape="box"];932[label="vvv40",fontsize=16,color="green",shape="box"];925[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg vvv48) vvv22)",fontsize=16,color="burlywood",shape="triangle"];29055[label="vvv48/Succ vvv480",fontsize=10,color="white",style="solid",shape="box"];925 -> 29055[label="",style="solid", color="burlywood", weight=9];
29055 -> 966[label="",style="solid", color="burlywood", weight=3];
29056[label="vvv48/Zero",fontsize=10,color="white",style="solid",shape="box"];925 -> 29056[label="",style="solid", color="burlywood", weight=9];
29056 -> 967[label="",style="solid", color="burlywood", weight=3];
90[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29057[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];90 -> 29057[label="",style="solid", color="burlywood", weight=9];
29057 -> 128[label="",style="solid", color="burlywood", weight=3];
29058[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];90 -> 29058[label="",style="solid", color="burlywood", weight=9];
29058 -> 129[label="",style="solid", color="burlywood", weight=3];
91[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29059[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];91 -> 29059[label="",style="solid", color="burlywood", weight=9];
29059 -> 130[label="",style="solid", color="burlywood", weight=3];
29060[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];91 -> 29060[label="",style="solid", color="burlywood", weight=9];
29060 -> 131[label="",style="solid", color="burlywood", weight=3];
92[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29061[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];92 -> 29061[label="",style="solid", color="burlywood", weight=9];
29061 -> 132[label="",style="solid", color="burlywood", weight=3];
29062[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];92 -> 29062[label="",style="solid", color="burlywood", weight=9];
29062 -> 133[label="",style="solid", color="burlywood", weight=3];
93[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29063[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];93 -> 29063[label="",style="solid", color="burlywood", weight=9];
29063 -> 134[label="",style="solid", color="burlywood", weight=3];
29064[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];93 -> 29064[label="",style="solid", color="burlywood", weight=9];
29064 -> 135[label="",style="solid", color="burlywood", weight=3];
94[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29065[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];94 -> 29065[label="",style="solid", color="burlywood", weight=9];
29065 -> 136[label="",style="solid", color="burlywood", weight=3];
29066[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];94 -> 29066[label="",style="solid", color="burlywood", weight=9];
29066 -> 137[label="",style="solid", color="burlywood", weight=3];
95[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29067[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];95 -> 29067[label="",style="solid", color="burlywood", weight=9];
29067 -> 138[label="",style="solid", color="burlywood", weight=3];
29068[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];95 -> 29068[label="",style="solid", color="burlywood", weight=9];
29068 -> 139[label="",style="solid", color="burlywood", weight=3];
999[label="vvv40",fontsize=16,color="green",shape="box"];1000[label="vvv4100",fontsize=16,color="green",shape="box"];1001[label="vvv500",fontsize=16,color="green",shape="box"];1002 -> 911[label="",style="dashed", color="red", weight=0];
1002[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1002 -> 1156[label="",style="dashed", color="magenta", weight=3];
1002 -> 1157[label="",style="dashed", color="magenta", weight=3];
1003[label="vvv6",fontsize=16,color="green",shape="box"];1004 -> 911[label="",style="dashed", color="red", weight=0];
1004[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1004 -> 1158[label="",style="dashed", color="magenta", weight=3];
1004 -> 1159[label="",style="dashed", color="magenta", weight=3];
1005 -> 911[label="",style="dashed", color="red", weight=0];
1005[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1005 -> 1160[label="",style="dashed", color="magenta", weight=3];
1005 -> 1161[label="",style="dashed", color="magenta", weight=3];
998[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg vvv53) vvv27)",fontsize=16,color="burlywood",shape="triangle"];29072[label="vvv53/Succ vvv530",fontsize=10,color="white",style="solid",shape="box"];998 -> 29072[label="",style="solid", color="burlywood", weight=9];
29072 -> 1162[label="",style="solid", color="burlywood", weight=3];
29073[label="vvv53/Zero",fontsize=10,color="white",style="solid",shape="box"];998 -> 29073[label="",style="solid", color="burlywood", weight=9];
29073 -> 1163[label="",style="solid", color="burlywood", weight=3];
98[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29074[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];98 -> 29074[label="",style="solid", color="burlywood", weight=9];
29074 -> 142[label="",style="solid", color="burlywood", weight=3];
29075[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];98 -> 29075[label="",style="solid", color="burlywood", weight=9];
29075 -> 143[label="",style="solid", color="burlywood", weight=3];
99[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29076[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];99 -> 29076[label="",style="solid", color="burlywood", weight=9];
29076 -> 144[label="",style="solid", color="burlywood", weight=3];
29077[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];99 -> 29077[label="",style="solid", color="burlywood", weight=9];
29077 -> 145[label="",style="solid", color="burlywood", weight=3];
100[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29078[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];100 -> 29078[label="",style="solid", color="burlywood", weight=9];
29078 -> 146[label="",style="solid", color="burlywood", weight=3];
29079[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];100 -> 29079[label="",style="solid", color="burlywood", weight=9];
29079 -> 147[label="",style="solid", color="burlywood", weight=3];
101[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29080[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];101 -> 29080[label="",style="solid", color="burlywood", weight=9];
29080 -> 148[label="",style="solid", color="burlywood", weight=3];
29081[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];101 -> 29081[label="",style="solid", color="burlywood", weight=9];
29081 -> 149[label="",style="solid", color="burlywood", weight=3];
102[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29082[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];102 -> 29082[label="",style="solid", color="burlywood", weight=9];
29082 -> 150[label="",style="solid", color="burlywood", weight=3];
29083[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];102 -> 29083[label="",style="solid", color="burlywood", weight=9];
29083 -> 151[label="",style="solid", color="burlywood", weight=3];
103[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29084[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];103 -> 29084[label="",style="solid", color="burlywood", weight=9];
29084 -> 152[label="",style="solid", color="burlywood", weight=3];
29085[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];103 -> 29085[label="",style="solid", color="burlywood", weight=9];
29085 -> 153[label="",style="solid", color="burlywood", weight=3];
1248[label="vvv40",fontsize=16,color="green",shape="box"];1249 -> 995[label="",style="dashed", color="red", weight=0];
1249[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1249 -> 1405[label="",style="dashed", color="magenta", weight=3];
1249 -> 1406[label="",style="dashed", color="magenta", weight=3];
1250 -> 995[label="",style="dashed", color="red", weight=0];
1250[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1250 -> 1407[label="",style="dashed", color="magenta", weight=3];
1250 -> 1408[label="",style="dashed", color="magenta", weight=3];
1251[label="vvv500",fontsize=16,color="green",shape="box"];1252[label="vvv6",fontsize=16,color="green",shape="box"];1253[label="vvv4100",fontsize=16,color="green",shape="box"];1254 -> 995[label="",style="dashed", color="red", weight=0];
1254[label="primPlusNat (primMulNat vvv500 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];1254 -> 1409[label="",style="dashed", color="magenta", weight=3];
1254 -> 1410[label="",style="dashed", color="magenta", weight=3];
1247[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos vvv73) vvv32)",fontsize=16,color="burlywood",shape="triangle"];29089[label="vvv73/Succ vvv730",fontsize=10,color="white",style="solid",shape="box"];1247 -> 29089[label="",style="solid", color="burlywood", weight=9];
29089 -> 1411[label="",style="solid", color="burlywood", weight=3];
29090[label="vvv73/Zero",fontsize=10,color="white",style="solid",shape="box"];1247 -> 29090[label="",style="solid", color="burlywood", weight=9];
29090 -> 1412[label="",style="solid", color="burlywood", weight=3];
106[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29091[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];106 -> 29091[label="",style="solid", color="burlywood", weight=9];
29091 -> 156[label="",style="solid", color="burlywood", weight=3];
29092[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];106 -> 29092[label="",style="solid", color="burlywood", weight=9];
29092 -> 157[label="",style="solid", color="burlywood", weight=3];
107[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29093[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];107 -> 29093[label="",style="solid", color="burlywood", weight=9];
29093 -> 158[label="",style="solid", color="burlywood", weight=3];
29094[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];107 -> 29094[label="",style="solid", color="burlywood", weight=9];
29094 -> 159[label="",style="solid", color="burlywood", weight=3];
108[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29095[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];108 -> 29095[label="",style="solid", color="burlywood", weight=9];
29095 -> 160[label="",style="solid", color="burlywood", weight=3];
29096[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];108 -> 29096[label="",style="solid", color="burlywood", weight=9];
29096 -> 161[label="",style="solid", color="burlywood", weight=3];
109[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29097[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];109 -> 29097[label="",style="solid", color="burlywood", weight=9];
29097 -> 162[label="",style="solid", color="burlywood", weight=3];
29098[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];109 -> 29098[label="",style="solid", color="burlywood", weight=9];
29098 -> 163[label="",style="solid", color="burlywood", weight=3];
110[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos vvv60))",fontsize=16,color="burlywood",shape="box"];29099[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];110 -> 29099[label="",style="solid", color="burlywood", weight=9];
29099 -> 164[label="",style="solid", color="burlywood", weight=3];
29100[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];110 -> 29100[label="",style="solid", color="burlywood", weight=9];
29100 -> 165[label="",style="solid", color="burlywood", weight=3];
111[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg vvv60))",fontsize=16,color="burlywood",shape="box"];29101[label="vvv60/Succ vvv600",fontsize=10,color="white",style="solid",shape="box"];111 -> 29101[label="",style="solid", color="burlywood", weight=9];
29101 -> 166[label="",style="solid", color="burlywood", weight=3];
29102[label="vvv60/Zero",fontsize=10,color="white",style="solid",shape="box"];111 -> 29102[label="",style="solid", color="burlywood", weight=9];
29102 -> 167[label="",style="solid", color="burlywood", weight=3];
1770 -> 963[label="",style="dashed", color="red", weight=0];
1770[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1770 -> 1825[label="",style="dashed", color="magenta", weight=3];
1771[label="Succ vvv4100",fontsize=16,color="green",shape="box"];995[label="primPlusNat vvv450 vvv4100",fontsize=16,color="burlywood",shape="triangle"];29104[label="vvv450/Succ vvv4500",fontsize=10,color="white",style="solid",shape="box"];995 -> 29104[label="",style="solid", color="burlywood", weight=9];
29104 -> 1172[label="",style="solid", color="burlywood", weight=3];
29105[label="vvv450/Zero",fontsize=10,color="white",style="solid",shape="box"];995 -> 29105[label="",style="solid", color="burlywood", weight=9];
29105 -> 1173[label="",style="solid", color="burlywood", weight=3];
1772 -> 963[label="",style="dashed", color="red", weight=0];
1772[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1772 -> 1826[label="",style="dashed", color="magenta", weight=3];
1773[label="Succ vvv4100",fontsize=16,color="green",shape="box"];1774 -> 963[label="",style="dashed", color="red", weight=0];
1774[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1774 -> 1827[label="",style="dashed", color="magenta", weight=3];
1775[label="Succ vvv4100",fontsize=16,color="green",shape="box"];1776[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos (Succ vvv1170)) vvv12)",fontsize=16,color="burlywood",shape="box"];29108[label="vvv12/Pos vvv120",fontsize=10,color="white",style="solid",shape="box"];1776 -> 29108[label="",style="solid", color="burlywood", weight=9];
29108 -> 1828[label="",style="solid", color="burlywood", weight=3];
29109[label="vvv12/Neg vvv120",fontsize=10,color="white",style="solid",shape="box"];1776 -> 29109[label="",style="solid", color="burlywood", weight=9];
29109 -> 1829[label="",style="solid", color="burlywood", weight=3];
1777[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos Zero) vvv12)",fontsize=16,color="burlywood",shape="box"];29110[label="vvv12/Pos vvv120",fontsize=10,color="white",style="solid",shape="box"];1777 -> 29110[label="",style="solid", color="burlywood", weight=9];
29110 -> 1830[label="",style="solid", color="burlywood", weight=3];
29111[label="vvv12/Neg vvv120",fontsize=10,color="white",style="solid",shape="box"];1777 -> 29111[label="",style="solid", color="burlywood", weight=9];
29111 -> 1831[label="",style="solid", color="burlywood", weight=3];
114[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];114 -> 171[label="",style="solid", color="black", weight=3];
115[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];115 -> 172[label="",style="solid", color="black", weight=3];
116[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];116 -> 173[label="",style="solid", color="black", weight=3];
117[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];117 -> 174[label="",style="solid", color="black", weight=3];
118[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];118 -> 175[label="",style="solid", color="black", weight=3];
119[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];119 -> 176[label="",style="solid", color="black", weight=3];
120[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];120 -> 177[label="",style="solid", color="black", weight=3];
121[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];121 -> 178[label="",style="solid", color="black", weight=3];
122[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];122 -> 179[label="",style="solid", color="black", weight=3];
123[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];123 -> 180[label="",style="solid", color="black", weight=3];
124[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];124 -> 181[label="",style="solid", color="black", weight=3];
125[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];125 -> 182[label="",style="solid", color="black", weight=3];
963[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="burlywood",shape="triangle"];29112[label="vvv500/Succ vvv5000",fontsize=10,color="white",style="solid",shape="box"];963 -> 29112[label="",style="solid", color="burlywood", weight=9];
29112 -> 974[label="",style="solid", color="burlywood", weight=3];
29113[label="vvv500/Zero",fontsize=10,color="white",style="solid",shape="box"];963 -> 29113[label="",style="solid", color="burlywood", weight=9];
29113 -> 975[label="",style="solid", color="burlywood", weight=3];
911[label="primPlusNat vvv45 (Succ vvv4100)",fontsize=16,color="burlywood",shape="triangle"];29114[label="vvv45/Succ vvv450",fontsize=10,color="white",style="solid",shape="box"];911 -> 29114[label="",style="solid", color="burlywood", weight=9];
29114 -> 970[label="",style="solid", color="burlywood", weight=3];
29115[label="vvv45/Zero",fontsize=10,color="white",style="solid",shape="box"];911 -> 29115[label="",style="solid", color="burlywood", weight=9];
29115 -> 971[label="",style="solid", color="burlywood", weight=3];
964 -> 963[label="",style="dashed", color="red", weight=0];
964[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];965 -> 963[label="",style="dashed", color="red", weight=0];
965[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];966[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg (Succ vvv480)) vvv22)",fontsize=16,color="burlywood",shape="box"];29118[label="vvv22/Pos vvv220",fontsize=10,color="white",style="solid",shape="box"];966 -> 29118[label="",style="solid", color="burlywood", weight=9];
29118 -> 976[label="",style="solid", color="burlywood", weight=3];
29119[label="vvv22/Neg vvv220",fontsize=10,color="white",style="solid",shape="box"];966 -> 29119[label="",style="solid", color="burlywood", weight=9];
29119 -> 977[label="",style="solid", color="burlywood", weight=3];
967[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg Zero) vvv22)",fontsize=16,color="burlywood",shape="box"];29120[label="vvv22/Pos vvv220",fontsize=10,color="white",style="solid",shape="box"];967 -> 29120[label="",style="solid", color="burlywood", weight=9];
29120 -> 978[label="",style="solid", color="burlywood", weight=3];
29121[label="vvv22/Neg vvv220",fontsize=10,color="white",style="solid",shape="box"];967 -> 29121[label="",style="solid", color="burlywood", weight=9];
29121 -> 979[label="",style="solid", color="burlywood", weight=3];
128[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];128 -> 186[label="",style="solid", color="black", weight=3];
129[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];129 -> 187[label="",style="solid", color="black", weight=3];
130[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];130 -> 188[label="",style="solid", color="black", weight=3];
131[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];131 -> 189[label="",style="solid", color="black", weight=3];
132[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];132 -> 190[label="",style="solid", color="black", weight=3];
133[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];133 -> 191[label="",style="solid", color="black", weight=3];
134[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];134 -> 192[label="",style="solid", color="black", weight=3];
135[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];135 -> 193[label="",style="solid", color="black", weight=3];
136[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];136 -> 194[label="",style="solid", color="black", weight=3];
137[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];137 -> 195[label="",style="solid", color="black", weight=3];
138[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];138 -> 196[label="",style="solid", color="black", weight=3];
139[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];139 -> 197[label="",style="solid", color="black", weight=3];
1156 -> 963[label="",style="dashed", color="red", weight=0];
1156[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1156 -> 1177[label="",style="dashed", color="magenta", weight=3];
1156 -> 1178[label="",style="dashed", color="magenta", weight=3];
1157[label="vvv4100",fontsize=16,color="green",shape="box"];1158 -> 963[label="",style="dashed", color="red", weight=0];
1158[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1158 -> 1179[label="",style="dashed", color="magenta", weight=3];
1158 -> 1180[label="",style="dashed", color="magenta", weight=3];
1159[label="vvv4100",fontsize=16,color="green",shape="box"];1160 -> 963[label="",style="dashed", color="red", weight=0];
1160[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1160 -> 1181[label="",style="dashed", color="magenta", weight=3];
1160 -> 1182[label="",style="dashed", color="magenta", weight=3];
1161[label="vvv4100",fontsize=16,color="green",shape="box"];1162[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg (Succ vvv530)) vvv27)",fontsize=16,color="burlywood",shape="box"];29125[label="vvv27/Pos vvv270",fontsize=10,color="white",style="solid",shape="box"];1162 -> 29125[label="",style="solid", color="burlywood", weight=9];
29125 -> 1183[label="",style="solid", color="burlywood", weight=3];
29126[label="vvv27/Neg vvv270",fontsize=10,color="white",style="solid",shape="box"];1162 -> 29126[label="",style="solid", color="burlywood", weight=9];
29126 -> 1184[label="",style="solid", color="burlywood", weight=3];
1163[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg Zero) vvv27)",fontsize=16,color="burlywood",shape="box"];29127[label="vvv27/Pos vvv270",fontsize=10,color="white",style="solid",shape="box"];1163 -> 29127[label="",style="solid", color="burlywood", weight=9];
29127 -> 1185[label="",style="solid", color="burlywood", weight=3];
29128[label="vvv27/Neg vvv270",fontsize=10,color="white",style="solid",shape="box"];1163 -> 29128[label="",style="solid", color="burlywood", weight=9];
29128 -> 1186[label="",style="solid", color="burlywood", weight=3];
142[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];142 -> 201[label="",style="solid", color="black", weight=3];
143[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];143 -> 202[label="",style="solid", color="black", weight=3];
144[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];144 -> 203[label="",style="solid", color="black", weight=3];
145[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];145 -> 204[label="",style="solid", color="black", weight=3];
146[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];146 -> 205[label="",style="solid", color="black", weight=3];
147[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];147 -> 206[label="",style="solid", color="black", weight=3];
148[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];148 -> 207[label="",style="solid", color="black", weight=3];
149[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];149 -> 208[label="",style="solid", color="black", weight=3];
150[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];150 -> 209[label="",style="solid", color="black", weight=3];
151[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];151 -> 210[label="",style="solid", color="black", weight=3];
152[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];152 -> 211[label="",style="solid", color="black", weight=3];
153[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];153 -> 212[label="",style="solid", color="black", weight=3];
1405 -> 963[label="",style="dashed", color="red", weight=0];
1405[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1405 -> 1423[label="",style="dashed", color="magenta", weight=3];
1406[label="Succ vvv4100",fontsize=16,color="green",shape="box"];1407 -> 963[label="",style="dashed", color="red", weight=0];
1407[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1407 -> 1424[label="",style="dashed", color="magenta", weight=3];
1408[label="Succ vvv4100",fontsize=16,color="green",shape="box"];1409 -> 963[label="",style="dashed", color="red", weight=0];
1409[label="primMulNat vvv500 (Succ vvv4100)",fontsize=16,color="magenta"];1409 -> 1425[label="",style="dashed", color="magenta", weight=3];
1410[label="Succ vvv4100",fontsize=16,color="green",shape="box"];1411[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos (Succ vvv730)) vvv32)",fontsize=16,color="burlywood",shape="box"];29132[label="vvv32/Pos vvv320",fontsize=10,color="white",style="solid",shape="box"];1411 -> 29132[label="",style="solid", color="burlywood", weight=9];
29132 -> 1426[label="",style="solid", color="burlywood", weight=3];
29133[label="vvv32/Neg vvv320",fontsize=10,color="white",style="solid",shape="box"];1411 -> 29133[label="",style="solid", color="burlywood", weight=9];
29133 -> 1427[label="",style="solid", color="burlywood", weight=3];
1412[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos Zero) vvv32)",fontsize=16,color="burlywood",shape="box"];29134[label="vvv32/Pos vvv320",fontsize=10,color="white",style="solid",shape="box"];1412 -> 29134[label="",style="solid", color="burlywood", weight=9];
29134 -> 1428[label="",style="solid", color="burlywood", weight=3];
29135[label="vvv32/Neg vvv320",fontsize=10,color="white",style="solid",shape="box"];1412 -> 29135[label="",style="solid", color="burlywood", weight=9];
29135 -> 1429[label="",style="solid", color="burlywood", weight=3];
156[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];156 -> 216[label="",style="solid", color="black", weight=3];
157[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];157 -> 217[label="",style="solid", color="black", weight=3];
158[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];158 -> 218[label="",style="solid", color="black", weight=3];
159[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];159 -> 219[label="",style="solid", color="black", weight=3];
160[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];160 -> 220[label="",style="solid", color="black", weight=3];
161[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];161 -> 221[label="",style="solid", color="black", weight=3];
162[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];162 -> 222[label="",style="solid", color="black", weight=3];
163[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];163 -> 223[label="",style="solid", color="black", weight=3];
164[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos (Succ vvv600)))",fontsize=16,color="black",shape="box"];164 -> 224[label="",style="solid", color="black", weight=3];
165[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];165 -> 225[label="",style="solid", color="black", weight=3];
166[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg (Succ vvv600)))",fontsize=16,color="black",shape="box"];166 -> 226[label="",style="solid", color="black", weight=3];
167[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];167 -> 227[label="",style="solid", color="black", weight=3];
1825[label="vvv4100",fontsize=16,color="green",shape="box"];1172[label="primPlusNat (Succ vvv4500) vvv4100",fontsize=16,color="burlywood",shape="box"];29136[label="vvv4100/Succ vvv41000",fontsize=10,color="white",style="solid",shape="box"];1172 -> 29136[label="",style="solid", color="burlywood", weight=9];
29136 -> 1192[label="",style="solid", color="burlywood", weight=3];
29137[label="vvv4100/Zero",fontsize=10,color="white",style="solid",shape="box"];1172 -> 29137[label="",style="solid", color="burlywood", weight=9];
29137 -> 1193[label="",style="solid", color="burlywood", weight=3];
1173[label="primPlusNat Zero vvv4100",fontsize=16,color="burlywood",shape="box"];29138[label="vvv4100/Succ vvv41000",fontsize=10,color="white",style="solid",shape="box"];1173 -> 29138[label="",style="solid", color="burlywood", weight=9];
29138 -> 1194[label="",style="solid", color="burlywood", weight=3];
29139[label="vvv4100/Zero",fontsize=10,color="white",style="solid",shape="box"];1173 -> 29139[label="",style="solid", color="burlywood", weight=9];
29139 -> 1195[label="",style="solid", color="burlywood", weight=3];
1826[label="vvv4100",fontsize=16,color="green",shape="box"];1827[label="vvv4100",fontsize=16,color="green",shape="box"];1828[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos (Succ vvv1170)) (Pos vvv120))",fontsize=16,color="burlywood",shape="box"];29140[label="vvv120/Succ vvv1200",fontsize=10,color="white",style="solid",shape="box"];1828 -> 29140[label="",style="solid", color="burlywood", weight=9];
29140 -> 1837[label="",style="solid", color="burlywood", weight=3];
29141[label="vvv120/Zero",fontsize=10,color="white",style="solid",shape="box"];1828 -> 29141[label="",style="solid", color="burlywood", weight=9];
29141 -> 1838[label="",style="solid", color="burlywood", weight=3];
1829[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos (Succ vvv1170)) (Neg vvv120))",fontsize=16,color="black",shape="box"];1829 -> 1839[label="",style="solid", color="black", weight=3];
1830[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos Zero) (Pos vvv120))",fontsize=16,color="burlywood",shape="box"];29142[label="vvv120/Succ vvv1200",fontsize=10,color="white",style="solid",shape="box"];1830 -> 29142[label="",style="solid", color="burlywood", weight=9];
29142 -> 1840[label="",style="solid", color="burlywood", weight=3];
29143[label="vvv120/Zero",fontsize=10,color="white",style="solid",shape="box"];1830 -> 29143[label="",style="solid", color="burlywood", weight=9];
29143 -> 1841[label="",style="solid", color="burlywood", weight=3];
1831[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos Zero) (Neg vvv120))",fontsize=16,color="burlywood",shape="box"];29144[label="vvv120/Succ vvv1200",fontsize=10,color="white",style="solid",shape="box"];1831 -> 29144[label="",style="solid", color="burlywood", weight=9];
29144 -> 1842[label="",style="solid", color="burlywood", weight=3];
29145[label="vvv120/Zero",fontsize=10,color="white",style="solid",shape="box"];1831 -> 29145[label="",style="solid", color="burlywood", weight=9];
29145 -> 1843[label="",style="solid", color="burlywood", weight=3];
171[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) False",fontsize=16,color="black",shape="triangle"];171 -> 232[label="",style="solid", color="black", weight=3];
172[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) True",fontsize=16,color="black",shape="triangle"];172 -> 233[label="",style="solid", color="black", weight=3];
173 -> 171[label="",style="dashed", color="red", weight=0];
173[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) False",fontsize=16,color="magenta"];174 -> 172[label="",style="dashed", color="red", weight=0];
174[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) True",fontsize=16,color="magenta"];175[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) False",fontsize=16,color="black",shape="triangle"];175 -> 234[label="",style="solid", color="black", weight=3];
176[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) True",fontsize=16,color="black",shape="triangle"];176 -> 235[label="",style="solid", color="black", weight=3];
177 -> 175[label="",style="dashed", color="red", weight=0];
177[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) False",fontsize=16,color="magenta"];178 -> 176[label="",style="dashed", color="red", weight=0];
178[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) True",fontsize=16,color="magenta"];179[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) False",fontsize=16,color="black",shape="triangle"];179 -> 236[label="",style="solid", color="black", weight=3];
180[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) True",fontsize=16,color="black",shape="triangle"];180 -> 237[label="",style="solid", color="black", weight=3];
181 -> 179[label="",style="dashed", color="red", weight=0];
181[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) False",fontsize=16,color="magenta"];182 -> 180[label="",style="dashed", color="red", weight=0];
182[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) True",fontsize=16,color="magenta"];974[label="primMulNat (Succ vvv5000) (Succ vvv4100)",fontsize=16,color="black",shape="box"];974 -> 986[label="",style="solid", color="black", weight=3];
975[label="primMulNat Zero (Succ vvv4100)",fontsize=16,color="black",shape="box"];975 -> 987[label="",style="solid", color="black", weight=3];
970[label="primPlusNat (Succ vvv450) (Succ vvv4100)",fontsize=16,color="black",shape="box"];970 -> 980[label="",style="solid", color="black", weight=3];
971[label="primPlusNat Zero (Succ vvv4100)",fontsize=16,color="black",shape="box"];971 -> 981[label="",style="solid", color="black", weight=3];
976[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg (Succ vvv480)) (Pos vvv220))",fontsize=16,color="black",shape="box"];976 -> 988[label="",style="solid", color="black", weight=3];
977[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg (Succ vvv480)) (Neg vvv220))",fontsize=16,color="burlywood",shape="box"];29152[label="vvv220/Succ vvv2200",fontsize=10,color="white",style="solid",shape="box"];977 -> 29152[label="",style="solid", color="burlywood", weight=9];
29152 -> 989[label="",style="solid", color="burlywood", weight=3];
29153[label="vvv220/Zero",fontsize=10,color="white",style="solid",shape="box"];977 -> 29153[label="",style="solid", color="burlywood", weight=9];
29153 -> 990[label="",style="solid", color="burlywood", weight=3];
978[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg Zero) (Pos vvv220))",fontsize=16,color="burlywood",shape="box"];29154[label="vvv220/Succ vvv2200",fontsize=10,color="white",style="solid",shape="box"];978 -> 29154[label="",style="solid", color="burlywood", weight=9];
29154 -> 991[label="",style="solid", color="burlywood", weight=3];
29155[label="vvv220/Zero",fontsize=10,color="white",style="solid",shape="box"];978 -> 29155[label="",style="solid", color="burlywood", weight=9];
29155 -> 992[label="",style="solid", color="burlywood", weight=3];
979[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg Zero) (Neg vvv220))",fontsize=16,color="burlywood",shape="box"];29156[label="vvv220/Succ vvv2200",fontsize=10,color="white",style="solid",shape="box"];979 -> 29156[label="",style="solid", color="burlywood", weight=9];
29156 -> 993[label="",style="solid", color="burlywood", weight=3];
29157[label="vvv220/Zero",fontsize=10,color="white",style="solid",shape="box"];979 -> 29157[label="",style="solid", color="burlywood", weight=9];
29157 -> 994[label="",style="solid", color="burlywood", weight=3];
186[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) False",fontsize=16,color="black",shape="triangle"];186 -> 242[label="",style="solid", color="black", weight=3];
187[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) True",fontsize=16,color="black",shape="triangle"];187 -> 243[label="",style="solid", color="black", weight=3];
188 -> 186[label="",style="dashed", color="red", weight=0];
188[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) False",fontsize=16,color="magenta"];189 -> 187[label="",style="dashed", color="red", weight=0];
189[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) True",fontsize=16,color="magenta"];190[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) False",fontsize=16,color="black",shape="triangle"];190 -> 244[label="",style="solid", color="black", weight=3];
191[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) True",fontsize=16,color="black",shape="triangle"];191 -> 245[label="",style="solid", color="black", weight=3];
192 -> 190[label="",style="dashed", color="red", weight=0];
192[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) False",fontsize=16,color="magenta"];193 -> 191[label="",style="dashed", color="red", weight=0];
193[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) True",fontsize=16,color="magenta"];194[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) False",fontsize=16,color="black",shape="triangle"];194 -> 246[label="",style="solid", color="black", weight=3];
195[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) True",fontsize=16,color="black",shape="triangle"];195 -> 247[label="",style="solid", color="black", weight=3];
196 -> 194[label="",style="dashed", color="red", weight=0];
196[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) False",fontsize=16,color="magenta"];197 -> 195[label="",style="dashed", color="red", weight=0];
197[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) True",fontsize=16,color="magenta"];1177[label="vvv500",fontsize=16,color="green",shape="box"];1178[label="vvv4100",fontsize=16,color="green",shape="box"];1179[label="vvv500",fontsize=16,color="green",shape="box"];1180[label="vvv4100",fontsize=16,color="green",shape="box"];1181[label="vvv500",fontsize=16,color="green",shape="box"];1182[label="vvv4100",fontsize=16,color="green",shape="box"];1183[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg (Succ vvv530)) (Pos vvv270))",fontsize=16,color="black",shape="box"];1183 -> 1201[label="",style="solid", color="black", weight=3];
1184[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg (Succ vvv530)) (Neg vvv270))",fontsize=16,color="burlywood",shape="box"];29164[label="vvv270/Succ vvv2700",fontsize=10,color="white",style="solid",shape="box"];1184 -> 29164[label="",style="solid", color="burlywood", weight=9];
29164 -> 1202[label="",style="solid", color="burlywood", weight=3];
29165[label="vvv270/Zero",fontsize=10,color="white",style="solid",shape="box"];1184 -> 29165[label="",style="solid", color="burlywood", weight=9];
29165 -> 1203[label="",style="solid", color="burlywood", weight=3];
1185[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg Zero) (Pos vvv270))",fontsize=16,color="burlywood",shape="box"];29166[label="vvv270/Succ vvv2700",fontsize=10,color="white",style="solid",shape="box"];1185 -> 29166[label="",style="solid", color="burlywood", weight=9];
29166 -> 1204[label="",style="solid", color="burlywood", weight=3];
29167[label="vvv270/Zero",fontsize=10,color="white",style="solid",shape="box"];1185 -> 29167[label="",style="solid", color="burlywood", weight=9];
29167 -> 1205[label="",style="solid", color="burlywood", weight=3];
1186[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg Zero) (Neg vvv270))",fontsize=16,color="burlywood",shape="box"];29168[label="vvv270/Succ vvv2700",fontsize=10,color="white",style="solid",shape="box"];1186 -> 29168[label="",style="solid", color="burlywood", weight=9];
29168 -> 1206[label="",style="solid", color="burlywood", weight=3];
29169[label="vvv270/Zero",fontsize=10,color="white",style="solid",shape="box"];1186 -> 29169[label="",style="solid", color="burlywood", weight=9];
29169 -> 1207[label="",style="solid", color="burlywood", weight=3];
201[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) False",fontsize=16,color="black",shape="triangle"];201 -> 252[label="",style="solid", color="black", weight=3];
202[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) True",fontsize=16,color="black",shape="triangle"];202 -> 253[label="",style="solid", color="black", weight=3];
203 -> 201[label="",style="dashed", color="red", weight=0];
203[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) False",fontsize=16,color="magenta"];204 -> 202[label="",style="dashed", color="red", weight=0];
204[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) True",fontsize=16,color="magenta"];205[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) False",fontsize=16,color="black",shape="triangle"];205 -> 254[label="",style="solid", color="black", weight=3];
206[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) True",fontsize=16,color="black",shape="triangle"];206 -> 255[label="",style="solid", color="black", weight=3];
207 -> 205[label="",style="dashed", color="red", weight=0];
207[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) False",fontsize=16,color="magenta"];208 -> 206[label="",style="dashed", color="red", weight=0];
208[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) True",fontsize=16,color="magenta"];209[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) False",fontsize=16,color="black",shape="triangle"];209 -> 256[label="",style="solid", color="black", weight=3];
210[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) True",fontsize=16,color="black",shape="triangle"];210 -> 257[label="",style="solid", color="black", weight=3];
211 -> 209[label="",style="dashed", color="red", weight=0];
211[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) False",fontsize=16,color="magenta"];212 -> 210[label="",style="dashed", color="red", weight=0];
212[label="reduce2Reduce1 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) True",fontsize=16,color="magenta"];1423[label="vvv500",fontsize=16,color="green",shape="box"];1424[label="vvv500",fontsize=16,color="green",shape="box"];1425[label="vvv500",fontsize=16,color="green",shape="box"];1426[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos (Succ vvv730)) (Pos vvv320))",fontsize=16,color="burlywood",shape="box"];29176[label="vvv320/Succ vvv3200",fontsize=10,color="white",style="solid",shape="box"];1426 -> 29176[label="",style="solid", color="burlywood", weight=9];
29176 -> 1443[label="",style="solid", color="burlywood", weight=3];
29177[label="vvv320/Zero",fontsize=10,color="white",style="solid",shape="box"];1426 -> 29177[label="",style="solid", color="burlywood", weight=9];
29177 -> 1444[label="",style="solid", color="burlywood", weight=3];
1427[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos (Succ vvv730)) (Neg vvv320))",fontsize=16,color="black",shape="box"];1427 -> 1445[label="",style="solid", color="black", weight=3];
1428[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos Zero) (Pos vvv320))",fontsize=16,color="burlywood",shape="box"];29178[label="vvv320/Succ vvv3200",fontsize=10,color="white",style="solid",shape="box"];1428 -> 29178[label="",style="solid", color="burlywood", weight=9];
29178 -> 1446[label="",style="solid", color="burlywood", weight=3];
29179[label="vvv320/Zero",fontsize=10,color="white",style="solid",shape="box"];1428 -> 29179[label="",style="solid", color="burlywood", weight=9];
29179 -> 1447[label="",style="solid", color="burlywood", weight=3];
1429[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos Zero) (Neg vvv320))",fontsize=16,color="burlywood",shape="box"];29180[label="vvv320/Succ vvv3200",fontsize=10,color="white",style="solid",shape="box"];1429 -> 29180[label="",style="solid", color="burlywood", weight=9];
29180 -> 1448[label="",style="solid", color="burlywood", weight=3];
29181[label="vvv320/Zero",fontsize=10,color="white",style="solid",shape="box"];1429 -> 29181[label="",style="solid", color="burlywood", weight=9];
29181 -> 1449[label="",style="solid", color="burlywood", weight=3];
216[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) False",fontsize=16,color="black",shape="triangle"];216 -> 262[label="",style="solid", color="black", weight=3];
217[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) True",fontsize=16,color="black",shape="triangle"];217 -> 263[label="",style="solid", color="black", weight=3];
218 -> 216[label="",style="dashed", color="red", weight=0];
218[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) False",fontsize=16,color="magenta"];219 -> 217[label="",style="dashed", color="red", weight=0];
219[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) True",fontsize=16,color="magenta"];220[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) False",fontsize=16,color="black",shape="triangle"];220 -> 264[label="",style="solid", color="black", weight=3];
221[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) True",fontsize=16,color="black",shape="triangle"];221 -> 265[label="",style="solid", color="black", weight=3];
222 -> 220[label="",style="dashed", color="red", weight=0];
222[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) False",fontsize=16,color="magenta"];223 -> 221[label="",style="dashed", color="red", weight=0];
223[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) True",fontsize=16,color="magenta"];224[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) False",fontsize=16,color="black",shape="triangle"];224 -> 266[label="",style="solid", color="black", weight=3];
225[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) True",fontsize=16,color="black",shape="triangle"];225 -> 267[label="",style="solid", color="black", weight=3];
226 -> 224[label="",style="dashed", color="red", weight=0];
226[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) False",fontsize=16,color="magenta"];227 -> 225[label="",style="dashed", color="red", weight=0];
227[label="reduce2Reduce1 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) True",fontsize=16,color="magenta"];1192[label="primPlusNat (Succ vvv4500) (Succ vvv41000)",fontsize=16,color="black",shape="box"];1192 -> 1213[label="",style="solid", color="black", weight=3];
1193[label="primPlusNat (Succ vvv4500) Zero",fontsize=16,color="black",shape="box"];1193 -> 1214[label="",style="solid", color="black", weight=3];
1194[label="primPlusNat Zero (Succ vvv41000)",fontsize=16,color="black",shape="box"];1194 -> 1215[label="",style="solid", color="black", weight=3];
1195[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1195 -> 1216[label="",style="solid", color="black", weight=3];
1837[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos (Succ vvv1170)) (Pos (Succ vvv1200)))",fontsize=16,color="black",shape="box"];1837 -> 1849[label="",style="solid", color="black", weight=3];
1838[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos (Succ vvv1170)) (Pos Zero))",fontsize=16,color="black",shape="box"];1838 -> 1850[label="",style="solid", color="black", weight=3];
1839[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) False",fontsize=16,color="black",shape="triangle"];1839 -> 1851[label="",style="solid", color="black", weight=3];
1840[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos Zero) (Pos (Succ vvv1200)))",fontsize=16,color="black",shape="box"];1840 -> 1852[label="",style="solid", color="black", weight=3];
1841[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];1841 -> 1853[label="",style="solid", color="black", weight=3];
1842[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos Zero) (Neg (Succ vvv1200)))",fontsize=16,color="black",shape="box"];1842 -> 1854[label="",style="solid", color="black", weight=3];
1843[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];1843 -> 1855[label="",style="solid", color="black", weight=3];
232[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) otherwise",fontsize=16,color="black",shape="box"];232 -> 274[label="",style="solid", color="black", weight=3];
233[label="error []",fontsize=16,color="black",shape="triangle"];233 -> 275[label="",style="solid", color="black", weight=3];
234[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) otherwise",fontsize=16,color="black",shape="box"];234 -> 276[label="",style="solid", color="black", weight=3];
235 -> 233[label="",style="dashed", color="red", weight=0];
235[label="error []",fontsize=16,color="magenta"];236[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) otherwise",fontsize=16,color="black",shape="box"];236 -> 277[label="",style="solid", color="black", weight=3];
237 -> 233[label="",style="dashed", color="red", weight=0];
237[label="error []",fontsize=16,color="magenta"];986 -> 911[label="",style="dashed", color="red", weight=0];
986[label="primPlusNat (primMulNat vvv5000 (Succ vvv4100)) (Succ vvv4100)",fontsize=16,color="magenta"];986 -> 1164[label="",style="dashed", color="magenta", weight=3];
987[label="Zero",fontsize=16,color="green",shape="box"];980[label="Succ (Succ (primPlusNat vvv450 vvv4100))",fontsize=16,color="green",shape="box"];980 -> 995[label="",style="dashed", color="green", weight=3];
981[label="Succ vvv4100",fontsize=16,color="green",shape="box"];988[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) False",fontsize=16,color="black",shape="triangle"];988 -> 1165[label="",style="solid", color="black", weight=3];
989[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg (Succ vvv480)) (Neg (Succ vvv2200)))",fontsize=16,color="black",shape="box"];989 -> 1166[label="",style="solid", color="black", weight=3];
990[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg (Succ vvv480)) (Neg Zero))",fontsize=16,color="black",shape="box"];990 -> 1167[label="",style="solid", color="black", weight=3];
991[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg Zero) (Pos (Succ vvv2200)))",fontsize=16,color="black",shape="box"];991 -> 1168[label="",style="solid", color="black", weight=3];
992[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];992 -> 1169[label="",style="solid", color="black", weight=3];
993[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg Zero) (Neg (Succ vvv2200)))",fontsize=16,color="black",shape="box"];993 -> 1170[label="",style="solid", color="black", weight=3];
994[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];994 -> 1171[label="",style="solid", color="black", weight=3];
242[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) otherwise",fontsize=16,color="black",shape="box"];242 -> 284[label="",style="solid", color="black", weight=3];
243 -> 233[label="",style="dashed", color="red", weight=0];
243[label="error []",fontsize=16,color="magenta"];244[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) otherwise",fontsize=16,color="black",shape="box"];244 -> 285[label="",style="solid", color="black", weight=3];
245 -> 233[label="",style="dashed", color="red", weight=0];
245[label="error []",fontsize=16,color="magenta"];246[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) otherwise",fontsize=16,color="black",shape="box"];246 -> 286[label="",style="solid", color="black", weight=3];
247 -> 233[label="",style="dashed", color="red", weight=0];
247[label="error []",fontsize=16,color="magenta"];1201[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) False",fontsize=16,color="black",shape="triangle"];1201 -> 1219[label="",style="solid", color="black", weight=3];
1202[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg (Succ vvv530)) (Neg (Succ vvv2700)))",fontsize=16,color="black",shape="box"];1202 -> 1220[label="",style="solid", color="black", weight=3];
1203[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg (Succ vvv530)) (Neg Zero))",fontsize=16,color="black",shape="box"];1203 -> 1221[label="",style="solid", color="black", weight=3];
1204[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg Zero) (Pos (Succ vvv2700)))",fontsize=16,color="black",shape="box"];1204 -> 1222[label="",style="solid", color="black", weight=3];
1205[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];1205 -> 1223[label="",style="solid", color="black", weight=3];
1206[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg Zero) (Neg (Succ vvv2700)))",fontsize=16,color="black",shape="box"];1206 -> 1224[label="",style="solid", color="black", weight=3];
1207[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];1207 -> 1225[label="",style="solid", color="black", weight=3];
252[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) otherwise",fontsize=16,color="black",shape="box"];252 -> 293[label="",style="solid", color="black", weight=3];
253 -> 233[label="",style="dashed", color="red", weight=0];
253[label="error []",fontsize=16,color="magenta"];254[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) otherwise",fontsize=16,color="black",shape="box"];254 -> 294[label="",style="solid", color="black", weight=3];
255 -> 233[label="",style="dashed", color="red", weight=0];
255[label="error []",fontsize=16,color="magenta"];256[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) otherwise",fontsize=16,color="black",shape="box"];256 -> 295[label="",style="solid", color="black", weight=3];
257 -> 233[label="",style="dashed", color="red", weight=0];
257[label="error []",fontsize=16,color="magenta"];1443[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos (Succ vvv730)) (Pos (Succ vvv3200)))",fontsize=16,color="black",shape="box"];1443 -> 1458[label="",style="solid", color="black", weight=3];
1444[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos (Succ vvv730)) (Pos Zero))",fontsize=16,color="black",shape="box"];1444 -> 1459[label="",style="solid", color="black", weight=3];
1445[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) False",fontsize=16,color="black",shape="triangle"];1445 -> 1460[label="",style="solid", color="black", weight=3];
1446[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos Zero) (Pos (Succ vvv3200)))",fontsize=16,color="black",shape="box"];1446 -> 1461[label="",style="solid", color="black", weight=3];
1447[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];1447 -> 1462[label="",style="solid", color="black", weight=3];
1448[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos Zero) (Neg (Succ vvv3200)))",fontsize=16,color="black",shape="box"];1448 -> 1463[label="",style="solid", color="black", weight=3];
1449[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];1449 -> 1464[label="",style="solid", color="black", weight=3];
262[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) otherwise",fontsize=16,color="black",shape="box"];262 -> 302[label="",style="solid", color="black", weight=3];
263 -> 233[label="",style="dashed", color="red", weight=0];
263[label="error []",fontsize=16,color="magenta"];264[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) otherwise",fontsize=16,color="black",shape="box"];264 -> 303[label="",style="solid", color="black", weight=3];
265 -> 233[label="",style="dashed", color="red", weight=0];
265[label="error []",fontsize=16,color="magenta"];266[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) otherwise",fontsize=16,color="black",shape="box"];266 -> 304[label="",style="solid", color="black", weight=3];
267 -> 233[label="",style="dashed", color="red", weight=0];
267[label="error []",fontsize=16,color="magenta"];1213[label="Succ (Succ (primPlusNat vvv4500 vvv41000))",fontsize=16,color="green",shape="box"];1213 -> 1232[label="",style="dashed", color="green", weight=3];
1214[label="Succ vvv4500",fontsize=16,color="green",shape="box"];1215[label="Succ vvv41000",fontsize=16,color="green",shape="box"];1216[label="Zero",fontsize=16,color="green",shape="box"];1849[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat vvv1170 vvv1200)",fontsize=16,color="burlywood",shape="triangle"];29200[label="vvv1170/Succ vvv11700",fontsize=10,color="white",style="solid",shape="box"];1849 -> 29200[label="",style="solid", color="burlywood", weight=9];
29200 -> 1895[label="",style="solid", color="burlywood", weight=3];
29201[label="vvv1170/Zero",fontsize=10,color="white",style="solid",shape="box"];1849 -> 29201[label="",style="solid", color="burlywood", weight=9];
29201 -> 1896[label="",style="solid", color="burlywood", weight=3];
1850 -> 1839[label="",style="dashed", color="red", weight=0];
1850[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) False",fontsize=16,color="magenta"];1851[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) otherwise",fontsize=16,color="black",shape="box"];1851 -> 1897[label="",style="solid", color="black", weight=3];
1852 -> 1839[label="",style="dashed", color="red", weight=0];
1852[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) False",fontsize=16,color="magenta"];1853[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) True",fontsize=16,color="black",shape="triangle"];1853 -> 1898[label="",style="solid", color="black", weight=3];
1854 -> 1839[label="",style="dashed", color="red", weight=0];
1854[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) False",fontsize=16,color="magenta"];1855 -> 1853[label="",style="dashed", color="red", weight=0];
1855[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) True",fontsize=16,color="magenta"];274[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) True",fontsize=16,color="black",shape="box"];274 -> 311[label="",style="solid", color="black", weight=3];
275[label="error []",fontsize=16,color="red",shape="box"];276[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) True",fontsize=16,color="black",shape="box"];276 -> 312[label="",style="solid", color="black", weight=3];
277[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) True",fontsize=16,color="black",shape="box"];277 -> 313[label="",style="solid", color="black", weight=3];
1164 -> 963[label="",style="dashed", color="red", weight=0];
1164[label="primMulNat vvv5000 (Succ vvv4100)",fontsize=16,color="magenta"];1164 -> 1187[label="",style="dashed", color="magenta", weight=3];
1165[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) otherwise",fontsize=16,color="black",shape="box"];1165 -> 1188[label="",style="solid", color="black", weight=3];
1166[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat vvv480 vvv2200)",fontsize=16,color="burlywood",shape="triangle"];29207[label="vvv480/Succ vvv4800",fontsize=10,color="white",style="solid",shape="box"];1166 -> 29207[label="",style="solid", color="burlywood", weight=9];
29207 -> 1189[label="",style="solid", color="burlywood", weight=3];
29208[label="vvv480/Zero",fontsize=10,color="white",style="solid",shape="box"];1166 -> 29208[label="",style="solid", color="burlywood", weight=9];
29208 -> 1190[label="",style="solid", color="burlywood", weight=3];
1167 -> 988[label="",style="dashed", color="red", weight=0];
1167[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) False",fontsize=16,color="magenta"];1168 -> 988[label="",style="dashed", color="red", weight=0];
1168[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) False",fontsize=16,color="magenta"];1169[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) True",fontsize=16,color="black",shape="triangle"];1169 -> 1191[label="",style="solid", color="black", weight=3];
1170 -> 988[label="",style="dashed", color="red", weight=0];
1170[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) False",fontsize=16,color="magenta"];1171 -> 1169[label="",style="dashed", color="red", weight=0];
1171[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) True",fontsize=16,color="magenta"];284[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) True",fontsize=16,color="black",shape="box"];284 -> 320[label="",style="solid", color="black", weight=3];
285[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) True",fontsize=16,color="black",shape="box"];285 -> 321[label="",style="solid", color="black", weight=3];
286[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) True",fontsize=16,color="black",shape="box"];286 -> 322[label="",style="solid", color="black", weight=3];
1219[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) otherwise",fontsize=16,color="black",shape="box"];1219 -> 1235[label="",style="solid", color="black", weight=3];
1220[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat vvv530 vvv2700)",fontsize=16,color="burlywood",shape="triangle"];29213[label="vvv530/Succ vvv5300",fontsize=10,color="white",style="solid",shape="box"];1220 -> 29213[label="",style="solid", color="burlywood", weight=9];
29213 -> 1236[label="",style="solid", color="burlywood", weight=3];
29214[label="vvv530/Zero",fontsize=10,color="white",style="solid",shape="box"];1220 -> 29214[label="",style="solid", color="burlywood", weight=9];
29214 -> 1237[label="",style="solid", color="burlywood", weight=3];
1221 -> 1201[label="",style="dashed", color="red", weight=0];
1221[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) False",fontsize=16,color="magenta"];1222 -> 1201[label="",style="dashed", color="red", weight=0];
1222[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) False",fontsize=16,color="magenta"];1223[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) True",fontsize=16,color="black",shape="triangle"];1223 -> 1238[label="",style="solid", color="black", weight=3];
1224 -> 1201[label="",style="dashed", color="red", weight=0];
1224[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) False",fontsize=16,color="magenta"];1225 -> 1223[label="",style="dashed", color="red", weight=0];
1225[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) True",fontsize=16,color="magenta"];293[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) True",fontsize=16,color="black",shape="box"];293 -> 329[label="",style="solid", color="black", weight=3];
294[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) True",fontsize=16,color="black",shape="box"];294 -> 330[label="",style="solid", color="black", weight=3];
295[label="reduce2Reduce0 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) True",fontsize=16,color="black",shape="box"];295 -> 331[label="",style="solid", color="black", weight=3];
1458[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat vvv730 vvv3200)",fontsize=16,color="burlywood",shape="triangle"];29219[label="vvv730/Succ vvv7300",fontsize=10,color="white",style="solid",shape="box"];1458 -> 29219[label="",style="solid", color="burlywood", weight=9];
29219 -> 1469[label="",style="solid", color="burlywood", weight=3];
29220[label="vvv730/Zero",fontsize=10,color="white",style="solid",shape="box"];1458 -> 29220[label="",style="solid", color="burlywood", weight=9];
29220 -> 1470[label="",style="solid", color="burlywood", weight=3];
1459 -> 1445[label="",style="dashed", color="red", weight=0];
1459[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) False",fontsize=16,color="magenta"];1460[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) otherwise",fontsize=16,color="black",shape="box"];1460 -> 1471[label="",style="solid", color="black", weight=3];
1461 -> 1445[label="",style="dashed", color="red", weight=0];
1461[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) False",fontsize=16,color="magenta"];1462[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) True",fontsize=16,color="black",shape="triangle"];1462 -> 1472[label="",style="solid", color="black", weight=3];
1463 -> 1445[label="",style="dashed", color="red", weight=0];
1463[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) False",fontsize=16,color="magenta"];1464 -> 1462[label="",style="dashed", color="red", weight=0];
1464[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) True",fontsize=16,color="magenta"];302[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) True",fontsize=16,color="black",shape="box"];302 -> 338[label="",style="solid", color="black", weight=3];
303[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) True",fontsize=16,color="black",shape="box"];303 -> 339[label="",style="solid", color="black", weight=3];
304[label="reduce2Reduce0 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) True",fontsize=16,color="black",shape="box"];304 -> 340[label="",style="solid", color="black", weight=3];
1232 -> 995[label="",style="dashed", color="red", weight=0];
1232[label="primPlusNat vvv4500 vvv41000",fontsize=16,color="magenta"];1232 -> 1243[label="",style="dashed", color="magenta", weight=3];
1232 -> 1244[label="",style="dashed", color="magenta", weight=3];
1895[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat (Succ vvv11700) vvv1200)",fontsize=16,color="burlywood",shape="box"];29226[label="vvv1200/Succ vvv12000",fontsize=10,color="white",style="solid",shape="box"];1895 -> 29226[label="",style="solid", color="burlywood", weight=9];
29226 -> 1919[label="",style="solid", color="burlywood", weight=3];
29227[label="vvv1200/Zero",fontsize=10,color="white",style="solid",shape="box"];1895 -> 29227[label="",style="solid", color="burlywood", weight=9];
29227 -> 1920[label="",style="solid", color="burlywood", weight=3];
1896[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat Zero vvv1200)",fontsize=16,color="burlywood",shape="box"];29228[label="vvv1200/Succ vvv12000",fontsize=10,color="white",style="solid",shape="box"];1896 -> 29228[label="",style="solid", color="burlywood", weight=9];
29228 -> 1921[label="",style="solid", color="burlywood", weight=3];
29229[label="vvv1200/Zero",fontsize=10,color="white",style="solid",shape="box"];1896 -> 29229[label="",style="solid", color="burlywood", weight=9];
29229 -> 1922[label="",style="solid", color="burlywood", weight=3];
1897[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) True",fontsize=16,color="black",shape="box"];1897 -> 1923[label="",style="solid", color="black", weight=3];
1898 -> 233[label="",style="dashed", color="red", weight=0];
1898[label="error []",fontsize=16,color="magenta"];311[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero) :% (Pos Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="green",shape="box"];311 -> 349[label="",style="dashed", color="green", weight=3];
311 -> 350[label="",style="dashed", color="green", weight=3];
312[label="(Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero) :% (Pos Zero `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="green",shape="box"];312 -> 351[label="",style="dashed", color="green", weight=3];
312 -> 352[label="",style="dashed", color="green", weight=3];
313[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero) :% (Pos Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="green",shape="box"];313 -> 353[label="",style="dashed", color="green", weight=3];
313 -> 354[label="",style="dashed", color="green", weight=3];
1187[label="vvv5000",fontsize=16,color="green",shape="box"];1188[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) True",fontsize=16,color="black",shape="box"];1188 -> 1208[label="",style="solid", color="black", weight=3];
1189[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat (Succ vvv4800) vvv2200)",fontsize=16,color="burlywood",shape="box"];29231[label="vvv2200/Succ vvv22000",fontsize=10,color="white",style="solid",shape="box"];1189 -> 29231[label="",style="solid", color="burlywood", weight=9];
29231 -> 1209[label="",style="solid", color="burlywood", weight=3];
29232[label="vvv2200/Zero",fontsize=10,color="white",style="solid",shape="box"];1189 -> 29232[label="",style="solid", color="burlywood", weight=9];
29232 -> 1210[label="",style="solid", color="burlywood", weight=3];
1190[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat Zero vvv2200)",fontsize=16,color="burlywood",shape="box"];29233[label="vvv2200/Succ vvv22000",fontsize=10,color="white",style="solid",shape="box"];1190 -> 29233[label="",style="solid", color="burlywood", weight=9];
29233 -> 1211[label="",style="solid", color="burlywood", weight=3];
29234[label="vvv2200/Zero",fontsize=10,color="white",style="solid",shape="box"];1190 -> 29234[label="",style="solid", color="burlywood", weight=9];
29234 -> 1212[label="",style="solid", color="burlywood", weight=3];
1191 -> 233[label="",style="dashed", color="red", weight=0];
1191[label="error []",fontsize=16,color="magenta"];320[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero) :% (Neg Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="green",shape="box"];320 -> 363[label="",style="dashed", color="green", weight=3];
320 -> 364[label="",style="dashed", color="green", weight=3];
321[label="(Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero) :% (Neg Zero `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="green",shape="box"];321 -> 365[label="",style="dashed", color="green", weight=3];
321 -> 366[label="",style="dashed", color="green", weight=3];
322[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero) :% (Neg Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="green",shape="box"];322 -> 367[label="",style="dashed", color="green", weight=3];
322 -> 368[label="",style="dashed", color="green", weight=3];
1235[label="reduce2Reduce0 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) True",fontsize=16,color="black",shape="box"];1235 -> 1413[label="",style="solid", color="black", weight=3];
1236[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat (Succ vvv5300) vvv2700)",fontsize=16,color="burlywood",shape="box"];29236[label="vvv2700/Succ vvv27000",fontsize=10,color="white",style="solid",shape="box"];1236 -> 29236[label="",style="solid", color="burlywood", weight=9];
29236 -> 1414[label="",style="solid", color="burlywood", weight=3];
29237[label="vvv2700/Zero",fontsize=10,color="white",style="solid",shape="box"];1236 -> 29237[label="",style="solid", color="burlywood", weight=9];
29237 -> 1415[label="",style="solid", color="burlywood", weight=3];
1237[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat Zero vvv2700)",fontsize=16,color="burlywood",shape="box"];29238[label="vvv2700/Succ vvv27000",fontsize=10,color="white",style="solid",shape="box"];1237 -> 29238[label="",style="solid", color="burlywood", weight=9];
29238 -> 1416[label="",style="solid", color="burlywood", weight=3];
29239[label="vvv2700/Zero",fontsize=10,color="white",style="solid",shape="box"];1237 -> 29239[label="",style="solid", color="burlywood", weight=9];
29239 -> 1417[label="",style="solid", color="burlywood", weight=3];
1238 -> 233[label="",style="dashed", color="red", weight=0];
1238[label="error []",fontsize=16,color="magenta"];329[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero) :% (Neg Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="green",shape="box"];329 -> 377[label="",style="dashed", color="green", weight=3];
329 -> 378[label="",style="dashed", color="green", weight=3];
330[label="(Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero) :% (Neg Zero `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="green",shape="box"];330 -> 379[label="",style="dashed", color="green", weight=3];
330 -> 380[label="",style="dashed", color="green", weight=3];
331[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero) :% (Neg Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="green",shape="box"];331 -> 381[label="",style="dashed", color="green", weight=3];
331 -> 382[label="",style="dashed", color="green", weight=3];
1469[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat (Succ vvv7300) vvv3200)",fontsize=16,color="burlywood",shape="box"];29241[label="vvv3200/Succ vvv32000",fontsize=10,color="white",style="solid",shape="box"];1469 -> 29241[label="",style="solid", color="burlywood", weight=9];
29241 -> 1495[label="",style="solid", color="burlywood", weight=3];
29242[label="vvv3200/Zero",fontsize=10,color="white",style="solid",shape="box"];1469 -> 29242[label="",style="solid", color="burlywood", weight=9];
29242 -> 1496[label="",style="solid", color="burlywood", weight=3];
1470[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat Zero vvv3200)",fontsize=16,color="burlywood",shape="box"];29243[label="vvv3200/Succ vvv32000",fontsize=10,color="white",style="solid",shape="box"];1470 -> 29243[label="",style="solid", color="burlywood", weight=9];
29243 -> 1497[label="",style="solid", color="burlywood", weight=3];
29244[label="vvv3200/Zero",fontsize=10,color="white",style="solid",shape="box"];1470 -> 29244[label="",style="solid", color="burlywood", weight=9];
29244 -> 1498[label="",style="solid", color="burlywood", weight=3];
1471[label="reduce2Reduce0 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) True",fontsize=16,color="black",shape="box"];1471 -> 1499[label="",style="solid", color="black", weight=3];
1472 -> 233[label="",style="dashed", color="red", weight=0];
1472[label="error []",fontsize=16,color="magenta"];338[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero) :% (Pos Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="green",shape="box"];338 -> 391[label="",style="dashed", color="green", weight=3];
338 -> 392[label="",style="dashed", color="green", weight=3];
339[label="(Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero) :% (Pos Zero `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="green",shape="box"];339 -> 393[label="",style="dashed", color="green", weight=3];
339 -> 394[label="",style="dashed", color="green", weight=3];
340[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero) :% (Pos Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="green",shape="box"];340 -> 395[label="",style="dashed", color="green", weight=3];
340 -> 396[label="",style="dashed", color="green", weight=3];
1243[label="vvv4500",fontsize=16,color="green",shape="box"];1244[label="vvv41000",fontsize=16,color="green",shape="box"];1919[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat (Succ vvv11700) (Succ vvv12000))",fontsize=16,color="black",shape="box"];1919 -> 1932[label="",style="solid", color="black", weight=3];
1920[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat (Succ vvv11700) Zero)",fontsize=16,color="black",shape="box"];1920 -> 1933[label="",style="solid", color="black", weight=3];
1921[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat Zero (Succ vvv12000))",fontsize=16,color="black",shape="box"];1921 -> 1934[label="",style="solid", color="black", weight=3];
1922[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat Zero Zero)",fontsize=16,color="black",shape="box"];1922 -> 1935[label="",style="solid", color="black", weight=3];
1923[label="(Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) :% (Pos vvv115 `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="green",shape="box"];1923 -> 1936[label="",style="dashed", color="green", weight=3];
1923 -> 1937[label="",style="dashed", color="green", weight=3];
349[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero)",fontsize=16,color="black",shape="box"];349 -> 408[label="",style="solid", color="black", weight=3];
350[label="Pos Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero)",fontsize=16,color="black",shape="box"];350 -> 409[label="",style="solid", color="black", weight=3];
351[label="(Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];351 -> 410[label="",style="solid", color="black", weight=3];
352[label="Pos Zero `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];352 -> 411[label="",style="solid", color="black", weight=3];
353[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];353 -> 412[label="",style="solid", color="black", weight=3];
354[label="Pos Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];354 -> 413[label="",style="solid", color="black", weight=3];
1208[label="(Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) :% (Neg vvv46 `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="green",shape="box"];1208 -> 1226[label="",style="dashed", color="green", weight=3];
1208 -> 1227[label="",style="dashed", color="green", weight=3];
1209[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat (Succ vvv4800) (Succ vvv22000))",fontsize=16,color="black",shape="box"];1209 -> 1228[label="",style="solid", color="black", weight=3];
1210[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat (Succ vvv4800) Zero)",fontsize=16,color="black",shape="box"];1210 -> 1229[label="",style="solid", color="black", weight=3];
1211[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat Zero (Succ vvv22000))",fontsize=16,color="black",shape="box"];1211 -> 1230[label="",style="solid", color="black", weight=3];
1212[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat Zero Zero)",fontsize=16,color="black",shape="box"];1212 -> 1231[label="",style="solid", color="black", weight=3];
363[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero)",fontsize=16,color="black",shape="box"];363 -> 425[label="",style="solid", color="black", weight=3];
364[label="Neg Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero)",fontsize=16,color="black",shape="box"];364 -> 426[label="",style="solid", color="black", weight=3];
365[label="(Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];365 -> 427[label="",style="solid", color="black", weight=3];
366[label="Neg Zero `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];366 -> 428[label="",style="solid", color="black", weight=3];
367[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];367 -> 429[label="",style="solid", color="black", weight=3];
368[label="Neg Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];368 -> 430[label="",style="solid", color="black", weight=3];
1413[label="(Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) :% (Neg vvv51 `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="green",shape="box"];1413 -> 1430[label="",style="dashed", color="green", weight=3];
1413 -> 1431[label="",style="dashed", color="green", weight=3];
1414[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat (Succ vvv5300) (Succ vvv27000))",fontsize=16,color="black",shape="box"];1414 -> 1432[label="",style="solid", color="black", weight=3];
1415[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat (Succ vvv5300) Zero)",fontsize=16,color="black",shape="box"];1415 -> 1433[label="",style="solid", color="black", weight=3];
1416[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat Zero (Succ vvv27000))",fontsize=16,color="black",shape="box"];1416 -> 1434[label="",style="solid", color="black", weight=3];
1417[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat Zero Zero)",fontsize=16,color="black",shape="box"];1417 -> 1435[label="",style="solid", color="black", weight=3];
377[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero)",fontsize=16,color="black",shape="box"];377 -> 442[label="",style="solid", color="black", weight=3];
378[label="Neg Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero)",fontsize=16,color="black",shape="box"];378 -> 443[label="",style="solid", color="black", weight=3];
379[label="(Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];379 -> 444[label="",style="solid", color="black", weight=3];
380[label="Neg Zero `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];380 -> 445[label="",style="solid", color="black", weight=3];
381[label="(Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];381 -> 446[label="",style="solid", color="black", weight=3];
382[label="Neg Zero `quot` reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];382 -> 447[label="",style="solid", color="black", weight=3];
1495[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat (Succ vvv7300) (Succ vvv32000))",fontsize=16,color="black",shape="box"];1495 -> 1505[label="",style="solid", color="black", weight=3];
1496[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat (Succ vvv7300) Zero)",fontsize=16,color="black",shape="box"];1496 -> 1506[label="",style="solid", color="black", weight=3];
1497[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat Zero (Succ vvv32000))",fontsize=16,color="black",shape="box"];1497 -> 1507[label="",style="solid", color="black", weight=3];
1498[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat Zero Zero)",fontsize=16,color="black",shape="box"];1498 -> 1508[label="",style="solid", color="black", weight=3];
1499[label="(Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) :% (Pos vvv71 `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="green",shape="box"];1499 -> 1509[label="",style="dashed", color="green", weight=3];
1499 -> 1510[label="",style="dashed", color="green", weight=3];
391[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero)",fontsize=16,color="black",shape="box"];391 -> 459[label="",style="solid", color="black", weight=3];
392[label="Pos Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero)",fontsize=16,color="black",shape="box"];392 -> 460[label="",style="solid", color="black", weight=3];
393[label="(Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];393 -> 461[label="",style="solid", color="black", weight=3];
394[label="Pos Zero `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];394 -> 462[label="",style="solid", color="black", weight=3];
395[label="(Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];395 -> 463[label="",style="solid", color="black", weight=3];
396[label="Pos Zero `quot` reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];396 -> 464[label="",style="solid", color="black", weight=3];
1932 -> 1849[label="",style="dashed", color="red", weight=0];
1932[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) (primEqNat vvv11700 vvv12000)",fontsize=16,color="magenta"];1932 -> 1950[label="",style="dashed", color="magenta", weight=3];
1932 -> 1951[label="",style="dashed", color="magenta", weight=3];
1933 -> 1839[label="",style="dashed", color="red", weight=0];
1933[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) False",fontsize=16,color="magenta"];1934 -> 1839[label="",style="dashed", color="red", weight=0];
1934[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) False",fontsize=16,color="magenta"];1935 -> 1853[label="",style="dashed", color="red", weight=0];
1935[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv115) True",fontsize=16,color="magenta"];1936[label="(Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116)",fontsize=16,color="black",shape="box"];1936 -> 1952[label="",style="solid", color="black", weight=3];
1937[label="Pos vvv115 `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116)",fontsize=16,color="black",shape="box"];1937 -> 1953[label="",style="solid", color="black", weight=3];
408[label="primQuotInt (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];408 -> 478[label="",style="solid", color="black", weight=3];
409[label="primQuotInt (Pos Zero) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];409 -> 479[label="",style="solid", color="black", weight=3];
410[label="primQuotInt (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];410 -> 480[label="",style="solid", color="black", weight=3];
411[label="primQuotInt (Pos Zero) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];411 -> 481[label="",style="solid", color="black", weight=3];
412[label="primQuotInt (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];412 -> 482[label="",style="solid", color="black", weight=3];
413[label="primQuotInt (Pos Zero) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];413 -> 483[label="",style="solid", color="black", weight=3];
1226[label="(Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47)",fontsize=16,color="black",shape="box"];1226 -> 1239[label="",style="solid", color="black", weight=3];
1227[label="Neg vvv46 `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47)",fontsize=16,color="black",shape="box"];1227 -> 1240[label="",style="solid", color="black", weight=3];
1228 -> 1166[label="",style="dashed", color="red", weight=0];
1228[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) (primEqNat vvv4800 vvv22000)",fontsize=16,color="magenta"];1228 -> 1241[label="",style="dashed", color="magenta", weight=3];
1228 -> 1242[label="",style="dashed", color="magenta", weight=3];
1229 -> 988[label="",style="dashed", color="red", weight=0];
1229[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) False",fontsize=16,color="magenta"];1230 -> 988[label="",style="dashed", color="red", weight=0];
1230[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) False",fontsize=16,color="magenta"];1231 -> 1169[label="",style="dashed", color="red", weight=0];
1231[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv46) True",fontsize=16,color="magenta"];425[label="primQuotInt (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];425 -> 497[label="",style="solid", color="black", weight=3];
426[label="primQuotInt (Neg Zero) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];426 -> 498[label="",style="solid", color="black", weight=3];
427[label="primQuotInt (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];427 -> 499[label="",style="solid", color="black", weight=3];
428[label="primQuotInt (Neg Zero) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];428 -> 500[label="",style="solid", color="black", weight=3];
429[label="primQuotInt (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];429 -> 501[label="",style="solid", color="black", weight=3];
430[label="primQuotInt (Neg Zero) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];430 -> 502[label="",style="solid", color="black", weight=3];
1430[label="(Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52)",fontsize=16,color="black",shape="box"];1430 -> 1450[label="",style="solid", color="black", weight=3];
1431[label="Neg vvv51 `quot` reduce2D (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52)",fontsize=16,color="black",shape="box"];1431 -> 1451[label="",style="solid", color="black", weight=3];
1432 -> 1220[label="",style="dashed", color="red", weight=0];
1432[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) (primEqNat vvv5300 vvv27000)",fontsize=16,color="magenta"];1432 -> 1452[label="",style="dashed", color="magenta", weight=3];
1432 -> 1453[label="",style="dashed", color="magenta", weight=3];
1433 -> 1201[label="",style="dashed", color="red", weight=0];
1433[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) False",fontsize=16,color="magenta"];1434 -> 1201[label="",style="dashed", color="red", weight=0];
1434[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) False",fontsize=16,color="magenta"];1435 -> 1223[label="",style="dashed", color="red", weight=0];
1435[label="reduce2Reduce1 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv51) True",fontsize=16,color="magenta"];442[label="primQuotInt (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];442 -> 516[label="",style="solid", color="black", weight=3];
443[label="primQuotInt (Neg Zero) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];443 -> 517[label="",style="solid", color="black", weight=3];
444[label="primQuotInt (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];444 -> 518[label="",style="solid", color="black", weight=3];
445[label="primQuotInt (Neg Zero) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];445 -> 519[label="",style="solid", color="black", weight=3];
446[label="primQuotInt (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];446 -> 520[label="",style="solid", color="black", weight=3];
447[label="primQuotInt (Neg Zero) (reduce2D (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];447 -> 521[label="",style="solid", color="black", weight=3];
1505 -> 1458[label="",style="dashed", color="red", weight=0];
1505[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) (primEqNat vvv7300 vvv32000)",fontsize=16,color="magenta"];1505 -> 1515[label="",style="dashed", color="magenta", weight=3];
1505 -> 1516[label="",style="dashed", color="magenta", weight=3];
1506 -> 1445[label="",style="dashed", color="red", weight=0];
1506[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) False",fontsize=16,color="magenta"];1507 -> 1445[label="",style="dashed", color="red", weight=0];
1507[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) False",fontsize=16,color="magenta"];1508 -> 1462[label="",style="dashed", color="red", weight=0];
1508[label="reduce2Reduce1 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv71) True",fontsize=16,color="magenta"];1509[label="(Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72)",fontsize=16,color="black",shape="box"];1509 -> 1517[label="",style="solid", color="black", weight=3];
1510[label="Pos vvv71 `quot` reduce2D (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72)",fontsize=16,color="black",shape="box"];1510 -> 1518[label="",style="solid", color="black", weight=3];
459[label="primQuotInt (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];459 -> 535[label="",style="solid", color="black", weight=3];
460[label="primQuotInt (Pos Zero) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];460 -> 536[label="",style="solid", color="black", weight=3];
461[label="primQuotInt (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];461 -> 537[label="",style="solid", color="black", weight=3];
462[label="primQuotInt (Pos Zero) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];462 -> 538[label="",style="solid", color="black", weight=3];
463[label="primQuotInt (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];463 -> 539[label="",style="solid", color="black", weight=3];
464[label="primQuotInt (Pos Zero) (reduce2D (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];464 -> 540[label="",style="solid", color="black", weight=3];
1950[label="vvv12000",fontsize=16,color="green",shape="box"];1951[label="vvv11700",fontsize=16,color="green",shape="box"];1952[label="primQuotInt (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="black",shape="box"];1952 -> 1962[label="",style="solid", color="black", weight=3];
1953[label="primQuotInt (Pos vvv115) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="black",shape="box"];1953 -> 1963[label="",style="solid", color="black", weight=3];
478[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos (Succ vvv500))) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];478 -> 556[label="",style="solid", color="black", weight=3];
479[label="primQuotInt (Pos Zero) (gcd (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];479 -> 557[label="",style="solid", color="black", weight=3];
480[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];480 -> 558[label="",style="solid", color="black", weight=3];
481[label="primQuotInt (Pos Zero) (gcd (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];481 -> 559[label="",style="solid", color="black", weight=3];
482[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];482 -> 560[label="",style="solid", color="black", weight=3];
483[label="primQuotInt (Pos Zero) (gcd (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];483 -> 561[label="",style="solid", color="black", weight=3];
1239[label="primQuotInt (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="black",shape="box"];1239 -> 1418[label="",style="solid", color="black", weight=3];
1240[label="primQuotInt (Neg vvv46) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="black",shape="box"];1240 -> 1419[label="",style="solid", color="black", weight=3];
1241[label="vvv4800",fontsize=16,color="green",shape="box"];1242[label="vvv22000",fontsize=16,color="green",shape="box"];497[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos (Succ vvv500))) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];497 -> 577[label="",style="solid", color="black", weight=3];
498[label="primQuotInt (Neg Zero) (gcd (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];498 -> 578[label="",style="solid", color="black", weight=3];
499[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];499 -> 579[label="",style="solid", color="black", weight=3];
500[label="primQuotInt (Neg Zero) (gcd (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];500 -> 580[label="",style="solid", color="black", weight=3];
501[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];501 -> 581[label="",style="solid", color="black", weight=3];
502[label="primQuotInt (Neg Zero) (gcd (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];502 -> 582[label="",style="solid", color="black", weight=3];
1450[label="primQuotInt (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="black",shape="box"];1450 -> 1465[label="",style="solid", color="black", weight=3];
1451[label="primQuotInt (Neg vvv51) (reduce2D (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="black",shape="box"];1451 -> 1466[label="",style="solid", color="black", weight=3];
1452[label="vvv5300",fontsize=16,color="green",shape="box"];1453[label="vvv27000",fontsize=16,color="green",shape="box"];516[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg (Succ vvv500))) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];516 -> 598[label="",style="solid", color="black", weight=3];
517[label="primQuotInt (Neg Zero) (gcd (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];517 -> 599[label="",style="solid", color="black", weight=3];
518[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];518 -> 600[label="",style="solid", color="black", weight=3];
519[label="primQuotInt (Neg Zero) (gcd (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];519 -> 601[label="",style="solid", color="black", weight=3];
520[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];520 -> 602[label="",style="solid", color="black", weight=3];
521[label="primQuotInt (Neg Zero) (gcd (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];521 -> 603[label="",style="solid", color="black", weight=3];
1515[label="vvv7300",fontsize=16,color="green",shape="box"];1516[label="vvv32000",fontsize=16,color="green",shape="box"];1517[label="primQuotInt (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="black",shape="box"];1517 -> 1522[label="",style="solid", color="black", weight=3];
1518[label="primQuotInt (Pos vvv71) (reduce2D (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="black",shape="box"];1518 -> 1523[label="",style="solid", color="black", weight=3];
535[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg (Succ vvv500))) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];535 -> 619[label="",style="solid", color="black", weight=3];
536[label="primQuotInt (Pos Zero) (gcd (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];536 -> 620[label="",style="solid", color="black", weight=3];
537[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];537 -> 621[label="",style="solid", color="black", weight=3];
538[label="primQuotInt (Pos Zero) (gcd (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];538 -> 622[label="",style="solid", color="black", weight=3];
539[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];539 -> 623[label="",style="solid", color="black", weight=3];
540[label="primQuotInt (Pos Zero) (gcd (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];540 -> 624[label="",style="solid", color="black", weight=3];
1962[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv8)) (vvv9 * Pos (Succ vvv10))) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv8)) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="black",shape="box"];1962 -> 1976[label="",style="solid", color="black", weight=3];
1963[label="primQuotInt (Pos vvv115) (gcd (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="black",shape="box"];1963 -> 1977[label="",style="solid", color="black", weight=3];
556[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos (Succ vvv500))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];556 -> 660[label="",style="solid", color="black", weight=3];
557[label="primQuotInt (Pos Zero) (gcd3 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];557 -> 661[label="",style="solid", color="black", weight=3];
558[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];558 -> 662[label="",style="solid", color="black", weight=3];
559[label="primQuotInt (Pos Zero) (gcd3 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];559 -> 663[label="",style="solid", color="black", weight=3];
560[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];560 -> 664[label="",style="solid", color="black", weight=3];
561[label="primQuotInt (Pos Zero) (gcd3 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];561 -> 665[label="",style="solid", color="black", weight=3];
1418[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv19)) (vvv20 * Pos (Succ vvv21))) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv19)) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="black",shape="box"];1418 -> 1436[label="",style="solid", color="black", weight=3];
1419[label="primQuotInt (Neg vvv46) (gcd (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="black",shape="box"];1419 -> 1437[label="",style="solid", color="black", weight=3];
577[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos (Succ vvv500))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];577 -> 689[label="",style="solid", color="black", weight=3];
578[label="primQuotInt (Neg Zero) (gcd3 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];578 -> 690[label="",style="solid", color="black", weight=3];
579[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];579 -> 691[label="",style="solid", color="black", weight=3];
580[label="primQuotInt (Neg Zero) (gcd3 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];580 -> 692[label="",style="solid", color="black", weight=3];
581[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];581 -> 693[label="",style="solid", color="black", weight=3];
582[label="primQuotInt (Neg Zero) (gcd3 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];582 -> 694[label="",style="solid", color="black", weight=3];
1465[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv24)) (vvv25 * Neg (Succ vvv26))) (reduce2D (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv24)) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="black",shape="box"];1465 -> 1473[label="",style="solid", color="black", weight=3];
1466[label="primQuotInt (Neg vvv51) (gcd (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="black",shape="box"];1466 -> 1474[label="",style="solid", color="black", weight=3];
598[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg (Succ vvv500))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];598 -> 715[label="",style="solid", color="black", weight=3];
599[label="primQuotInt (Neg Zero) (gcd3 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];599 -> 716[label="",style="solid", color="black", weight=3];
600[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];600 -> 717[label="",style="solid", color="black", weight=3];
601[label="primQuotInt (Neg Zero) (gcd3 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];601 -> 718[label="",style="solid", color="black", weight=3];
602[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];602 -> 719[label="",style="solid", color="black", weight=3];
603[label="primQuotInt (Neg Zero) (gcd3 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];603 -> 720[label="",style="solid", color="black", weight=3];
1522[label="primQuotInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv29)) (vvv30 * Neg (Succ vvv31))) (reduce2D (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv29)) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="black",shape="box"];1522 -> 1539[label="",style="solid", color="black", weight=3];
1523[label="primQuotInt (Pos vvv71) (gcd (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="black",shape="box"];1523 -> 1540[label="",style="solid", color="black", weight=3];
619[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg (Succ vvv500))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];619 -> 741[label="",style="solid", color="black", weight=3];
620[label="primQuotInt (Pos Zero) (gcd3 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];620 -> 742[label="",style="solid", color="black", weight=3];
621[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];621 -> 743[label="",style="solid", color="black", weight=3];
622[label="primQuotInt (Pos Zero) (gcd3 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];622 -> 744[label="",style="solid", color="black", weight=3];
623[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];623 -> 745[label="",style="solid", color="black", weight=3];
624[label="primQuotInt (Pos Zero) (gcd3 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];624 -> 746[label="",style="solid", color="black", weight=3];
1976[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="black",shape="box"];1976 -> 1986[label="",style="solid", color="black", weight=3];
1977[label="primQuotInt (Pos vvv115) (gcd3 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="black",shape="box"];1977 -> 1987[label="",style="solid", color="black", weight=3];
660 -> 1994[label="",style="dashed", color="red", weight=0];
660[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) (Pos Zero))",fontsize=16,color="magenta"];660 -> 1995[label="",style="dashed", color="magenta", weight=3];
660 -> 1996[label="",style="dashed", color="magenta", weight=3];
660 -> 1997[label="",style="dashed", color="magenta", weight=3];
660 -> 1998[label="",style="dashed", color="magenta", weight=3];
660 -> 1999[label="",style="dashed", color="magenta", weight=3];
661 -> 777[label="",style="dashed", color="red", weight=0];
661[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500) == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="magenta"];661 -> 778[label="",style="dashed", color="magenta", weight=3];
662[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];662 -> 779[label="",style="solid", color="black", weight=3];
663 -> 780[label="",style="dashed", color="red", weight=0];
663[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="magenta"];663 -> 781[label="",style="dashed", color="magenta", weight=3];
664[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];664 -> 782[label="",style="solid", color="black", weight=3];
665 -> 783[label="",style="dashed", color="red", weight=0];
665[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="magenta"];665 -> 784[label="",style="dashed", color="magenta", weight=3];
1436[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="black",shape="box"];1436 -> 1454[label="",style="solid", color="black", weight=3];
1437[label="primQuotInt (Neg vvv46) (gcd3 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="black",shape="box"];1437 -> 1455[label="",style="solid", color="black", weight=3];
689 -> 1543[label="",style="dashed", color="red", weight=0];
689[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) (Neg Zero))",fontsize=16,color="magenta"];689 -> 1544[label="",style="dashed", color="magenta", weight=3];
689 -> 1545[label="",style="dashed", color="magenta", weight=3];
689 -> 1546[label="",style="dashed", color="magenta", weight=3];
689 -> 1547[label="",style="dashed", color="magenta", weight=3];
689 -> 1548[label="",style="dashed", color="magenta", weight=3];
690 -> 900[label="",style="dashed", color="red", weight=0];
690[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500) == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="magenta"];690 -> 901[label="",style="dashed", color="magenta", weight=3];
691 -> 906[label="",style="dashed", color="red", weight=0];
691[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="magenta"];691 -> 907[label="",style="dashed", color="magenta", weight=3];
691 -> 908[label="",style="dashed", color="magenta", weight=3];
692 -> 972[label="",style="dashed", color="red", weight=0];
692[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="magenta"];692 -> 973[label="",style="dashed", color="magenta", weight=3];
693 -> 906[label="",style="dashed", color="red", weight=0];
693[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="magenta"];693 -> 909[label="",style="dashed", color="magenta", weight=3];
693 -> 910[label="",style="dashed", color="magenta", weight=3];
694 -> 984[label="",style="dashed", color="red", weight=0];
694[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="magenta"];694 -> 985[label="",style="dashed", color="magenta", weight=3];
1473[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="black",shape="box"];1473 -> 1500[label="",style="solid", color="black", weight=3];
1474[label="primQuotInt (Neg vvv51) (gcd3 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="black",shape="box"];1474 -> 1501[label="",style="solid", color="black", weight=3];
715 -> 1563[label="",style="dashed", color="red", weight=0];
715[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) (Neg Zero))",fontsize=16,color="magenta"];715 -> 1564[label="",style="dashed", color="magenta", weight=3];
715 -> 1565[label="",style="dashed", color="magenta", weight=3];
715 -> 1566[label="",style="dashed", color="magenta", weight=3];
715 -> 1567[label="",style="dashed", color="magenta", weight=3];
715 -> 1568[label="",style="dashed", color="magenta", weight=3];
716 -> 1175[label="",style="dashed", color="red", weight=0];
716[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500) == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="magenta"];716 -> 1176[label="",style="dashed", color="magenta", weight=3];
717 -> 1196[label="",style="dashed", color="red", weight=0];
717[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="magenta"];717 -> 1197[label="",style="dashed", color="magenta", weight=3];
717 -> 1198[label="",style="dashed", color="magenta", weight=3];
718 -> 1217[label="",style="dashed", color="red", weight=0];
718[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="magenta"];718 -> 1218[label="",style="dashed", color="magenta", weight=3];
719 -> 1196[label="",style="dashed", color="red", weight=0];
719[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="magenta"];719 -> 1199[label="",style="dashed", color="magenta", weight=3];
719 -> 1200[label="",style="dashed", color="magenta", weight=3];
720 -> 1233[label="",style="dashed", color="red", weight=0];
720[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="magenta"];720 -> 1234[label="",style="dashed", color="magenta", weight=3];
1539[label="primQuotInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) (reduce2D (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="black",shape="box"];1539 -> 1551[label="",style="solid", color="black", weight=3];
1540[label="primQuotInt (Pos vvv71) (gcd3 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="black",shape="box"];1540 -> 1552[label="",style="solid", color="black", weight=3];
741 -> 1582[label="",style="dashed", color="red", weight=0];
741[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) (Pos Zero))",fontsize=16,color="magenta"];741 -> 1583[label="",style="dashed", color="magenta", weight=3];
741 -> 1584[label="",style="dashed", color="magenta", weight=3];
741 -> 1585[label="",style="dashed", color="magenta", weight=3];
741 -> 1586[label="",style="dashed", color="magenta", weight=3];
741 -> 1587[label="",style="dashed", color="magenta", weight=3];
742 -> 1421[label="",style="dashed", color="red", weight=0];
742[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500) == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="magenta"];742 -> 1422[label="",style="dashed", color="magenta", weight=3];
743 -> 1438[label="",style="dashed", color="red", weight=0];
743[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="magenta"];743 -> 1439[label="",style="dashed", color="magenta", weight=3];
743 -> 1440[label="",style="dashed", color="magenta", weight=3];
744 -> 1456[label="",style="dashed", color="red", weight=0];
744[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="magenta"];744 -> 1457[label="",style="dashed", color="magenta", weight=3];
745 -> 1438[label="",style="dashed", color="red", weight=0];
745[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="magenta"];745 -> 1441[label="",style="dashed", color="magenta", weight=3];
745 -> 1442[label="",style="dashed", color="magenta", weight=3];
746 -> 1467[label="",style="dashed", color="red", weight=0];
746[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="magenta"];746 -> 1468[label="",style="dashed", color="magenta", weight=3];
1986 -> 1994[label="",style="dashed", color="red", weight=0];
1986[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="magenta"];1986 -> 2000[label="",style="dashed", color="magenta", weight=3];
1986 -> 2001[label="",style="dashed", color="magenta", weight=3];
1987 -> 2002[label="",style="dashed", color="red", weight=0];
1987[label="primQuotInt (Pos vvv115) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10) == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="magenta"];1987 -> 2003[label="",style="dashed", color="magenta", weight=3];
1995[label="vvv40",fontsize=16,color="green",shape="box"];1996 -> 1545[label="",style="dashed", color="red", weight=0];
1996[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1997[label="Zero",fontsize=16,color="green",shape="box"];1998 -> 1545[label="",style="dashed", color="red", weight=0];
1998[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1999[label="vvv500",fontsize=16,color="green",shape="box"];1994[label="primQuotInt (primPlusInt (Pos vvv161) (vvv9 * Pos (Succ vvv10))) (reduce2D (primPlusInt (Pos vvv162) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];1994 -> 2004[label="",style="solid", color="black", weight=3];
778 -> 15[label="",style="dashed", color="red", weight=0];
778[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];777[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500) == vvv36) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];777 -> 1533[label="",style="solid", color="black", weight=3];
779 -> 1534[label="",style="dashed", color="red", weight=0];
779[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (primMulInt vvv40 (Pos Zero))) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (primMulInt vvv40 (Pos Zero))) (Pos Zero))",fontsize=16,color="magenta"];779 -> 1535[label="",style="dashed", color="magenta", weight=3];
779 -> 1536[label="",style="dashed", color="magenta", weight=3];
781 -> 15[label="",style="dashed", color="red", weight=0];
781[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];780[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero == vvv37) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="triangle"];780 -> 1541[label="",style="solid", color="black", weight=3];
782 -> 1534[label="",style="dashed", color="red", weight=0];
782[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (primMulInt vvv40 (Pos Zero))) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (primMulInt vvv40 (Pos Zero))) (Pos Zero))",fontsize=16,color="magenta"];782 -> 1537[label="",style="dashed", color="magenta", weight=3];
782 -> 1538[label="",style="dashed", color="magenta", weight=3];
784 -> 15[label="",style="dashed", color="red", weight=0];
784[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];783[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero == vvv38) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="triangle"];783 -> 1542[label="",style="solid", color="black", weight=3];
1454 -> 1543[label="",style="dashed", color="red", weight=0];
1454[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="magenta"];1454 -> 1549[label="",style="dashed", color="magenta", weight=3];
1454 -> 1550[label="",style="dashed", color="magenta", weight=3];
1455 -> 1553[label="",style="dashed", color="red", weight=0];
1455[label="primQuotInt (Neg vvv46) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21) == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="magenta"];1455 -> 1554[label="",style="dashed", color="magenta", weight=3];
1544[label="Zero",fontsize=16,color="green",shape="box"];1545[label="primMulNat (Succ Zero) Zero",fontsize=16,color="black",shape="triangle"];1545 -> 1555[label="",style="solid", color="black", weight=3];
1546[label="vvv500",fontsize=16,color="green",shape="box"];1547 -> 1545[label="",style="dashed", color="red", weight=0];
1547[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1548[label="vvv40",fontsize=16,color="green",shape="box"];1543[label="primQuotInt (primPlusInt (Neg vvv106) (vvv20 * Pos (Succ vvv21))) (reduce2D (primPlusInt (Neg vvv107) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];1543 -> 1556[label="",style="solid", color="black", weight=3];
901 -> 15[label="",style="dashed", color="red", weight=0];
901[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];900[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500) == vvv42) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];900 -> 1557[label="",style="solid", color="black", weight=3];
907 -> 963[label="",style="dashed", color="red", weight=0];
907[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];907 -> 1558[label="",style="dashed", color="magenta", weight=3];
908 -> 963[label="",style="dashed", color="red", weight=0];
908[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];908 -> 1559[label="",style="dashed", color="magenta", weight=3];
906[label="primQuotInt (primPlusInt (Neg vvv43) (vvv40 * Pos Zero)) (reduce2D (primPlusInt (Neg vvv44) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];906 -> 1560[label="",style="solid", color="black", weight=3];
973 -> 15[label="",style="dashed", color="red", weight=0];
973[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];972[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero == vvv49) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="triangle"];972 -> 1561[label="",style="solid", color="black", weight=3];
909 -> 1545[label="",style="dashed", color="red", weight=0];
909[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];910 -> 1545[label="",style="dashed", color="red", weight=0];
910[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];985 -> 15[label="",style="dashed", color="red", weight=0];
985[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];984[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero == vvv50) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="triangle"];984 -> 1562[label="",style="solid", color="black", weight=3];
1500 -> 1563[label="",style="dashed", color="red", weight=0];
1500[label="primQuotInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) (reduce2D (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="magenta"];1500 -> 1569[label="",style="dashed", color="magenta", weight=3];
1500 -> 1570[label="",style="dashed", color="magenta", weight=3];
1501 -> 1571[label="",style="dashed", color="red", weight=0];
1501[label="primQuotInt (Neg vvv51) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26) == fromInt (Pos Zero)) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="magenta"];1501 -> 1572[label="",style="dashed", color="magenta", weight=3];
1564[label="vvv40",fontsize=16,color="green",shape="box"];1565[label="vvv500",fontsize=16,color="green",shape="box"];1566 -> 1545[label="",style="dashed", color="red", weight=0];
1566[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1567 -> 1545[label="",style="dashed", color="red", weight=0];
1567[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1568[label="Zero",fontsize=16,color="green",shape="box"];1563[label="primQuotInt (primPlusInt (Pos vvv109) (vvv25 * Neg (Succ vvv26))) (reduce2D (primPlusInt (Pos vvv110) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];1563 -> 1573[label="",style="solid", color="black", weight=3];
1176 -> 15[label="",style="dashed", color="red", weight=0];
1176[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1175[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500) == vvv66) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];1175 -> 1574[label="",style="solid", color="black", weight=3];
1197 -> 963[label="",style="dashed", color="red", weight=0];
1197[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];1197 -> 1575[label="",style="dashed", color="magenta", weight=3];
1197 -> 1576[label="",style="dashed", color="magenta", weight=3];
1198 -> 963[label="",style="dashed", color="red", weight=0];
1198[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];1198 -> 1577[label="",style="dashed", color="magenta", weight=3];
1198 -> 1578[label="",style="dashed", color="magenta", weight=3];
1196[label="primQuotInt (primPlusInt (Pos vvv67) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Pos vvv68) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];1196 -> 1579[label="",style="solid", color="black", weight=3];
1218 -> 15[label="",style="dashed", color="red", weight=0];
1218[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1217[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero == vvv69) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="triangle"];1217 -> 1580[label="",style="solid", color="black", weight=3];
1199 -> 1545[label="",style="dashed", color="red", weight=0];
1199[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1200 -> 1545[label="",style="dashed", color="red", weight=0];
1200[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1234 -> 15[label="",style="dashed", color="red", weight=0];
1234[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1233[label="primQuotInt (Neg Zero) (gcd2 (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero == vvv70) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="triangle"];1233 -> 1581[label="",style="solid", color="black", weight=3];
1551 -> 1582[label="",style="dashed", color="red", weight=0];
1551[label="primQuotInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) (reduce2D (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="magenta"];1551 -> 1588[label="",style="dashed", color="magenta", weight=3];
1551 -> 1589[label="",style="dashed", color="magenta", weight=3];
1552 -> 1590[label="",style="dashed", color="red", weight=0];
1552[label="primQuotInt (Pos vvv71) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31) == fromInt (Pos Zero)) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="magenta"];1552 -> 1591[label="",style="dashed", color="magenta", weight=3];
1583[label="vvv40",fontsize=16,color="green",shape="box"];1584 -> 1545[label="",style="dashed", color="red", weight=0];
1584[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1585[label="Zero",fontsize=16,color="green",shape="box"];1586[label="vvv500",fontsize=16,color="green",shape="box"];1587 -> 1545[label="",style="dashed", color="red", weight=0];
1587[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1582[label="primQuotInt (primPlusInt (Neg vvv112) (vvv30 * Neg (Succ vvv31))) (reduce2D (primPlusInt (Neg vvv113) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];1582 -> 1592[label="",style="solid", color="black", weight=3];
1422 -> 15[label="",style="dashed", color="red", weight=0];
1422[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1421[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500) == vvv86) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];1421 -> 1593[label="",style="solid", color="black", weight=3];
1439 -> 963[label="",style="dashed", color="red", weight=0];
1439[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];1439 -> 1594[label="",style="dashed", color="magenta", weight=3];
1440 -> 963[label="",style="dashed", color="red", weight=0];
1440[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];1440 -> 1595[label="",style="dashed", color="magenta", weight=3];
1438[label="primQuotInt (primPlusInt (Neg vvv87) (vvv40 * Neg Zero)) (reduce2D (primPlusInt (Neg vvv88) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];1438 -> 1596[label="",style="solid", color="black", weight=3];
1457 -> 15[label="",style="dashed", color="red", weight=0];
1457[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1456[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero == vvv89) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="triangle"];1456 -> 1597[label="",style="solid", color="black", weight=3];
1441 -> 1545[label="",style="dashed", color="red", weight=0];
1441[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1442 -> 1545[label="",style="dashed", color="red", weight=0];
1442[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1468 -> 15[label="",style="dashed", color="red", weight=0];
1468[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1467[label="primQuotInt (Pos Zero) (gcd2 (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero == vvv90) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="triangle"];1467 -> 1598[label="",style="solid", color="black", weight=3];
2000 -> 963[label="",style="dashed", color="red", weight=0];
2000[label="primMulNat (Succ Zero) (Succ vvv8)",fontsize=16,color="magenta"];2000 -> 2005[label="",style="dashed", color="magenta", weight=3];
2000 -> 2006[label="",style="dashed", color="magenta", weight=3];
2001 -> 963[label="",style="dashed", color="red", weight=0];
2001[label="primMulNat (Succ Zero) (Succ vvv8)",fontsize=16,color="magenta"];2001 -> 2007[label="",style="dashed", color="magenta", weight=3];
2001 -> 2008[label="",style="dashed", color="magenta", weight=3];
2003 -> 15[label="",style="dashed", color="red", weight=0];
2003[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2002[label="primQuotInt (Pos vvv115) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10) == vvv163) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2002 -> 2009[label="",style="solid", color="black", weight=3];
2004[label="primQuotInt (primPlusInt (Pos vvv161) (primMulInt vvv9 (Pos (Succ vvv10)))) (reduce2D (primPlusInt (Pos vvv162) (primMulInt vvv9 (Pos (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29328[label="vvv9/Pos vvv90",fontsize=10,color="white",style="solid",shape="box"];2004 -> 29328[label="",style="solid", color="burlywood", weight=9];
29328 -> 2013[label="",style="solid", color="burlywood", weight=3];
29329[label="vvv9/Neg vvv90",fontsize=10,color="white",style="solid",shape="box"];2004 -> 29329[label="",style="solid", color="burlywood", weight=9];
29329 -> 2014[label="",style="solid", color="burlywood", weight=3];
1533[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) vvv36) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];1533 -> 1780[label="",style="solid", color="black", weight=3];
1535 -> 963[label="",style="dashed", color="red", weight=0];
1535[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];1535 -> 1781[label="",style="dashed", color="magenta", weight=3];
1535 -> 1782[label="",style="dashed", color="magenta", weight=3];
1536 -> 963[label="",style="dashed", color="red", weight=0];
1536[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];1536 -> 1783[label="",style="dashed", color="magenta", weight=3];
1536 -> 1784[label="",style="dashed", color="magenta", weight=3];
1534[label="primQuotInt (primPlusInt (Pos vvv104) (primMulInt vvv40 (Pos Zero))) (reduce2D (primPlusInt (Pos vvv105) (primMulInt vvv40 (Pos Zero))) (Pos Zero))",fontsize=16,color="burlywood",shape="triangle"];29332[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];1534 -> 29332[label="",style="solid", color="burlywood", weight=9];
29332 -> 1785[label="",style="solid", color="burlywood", weight=3];
29333[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];1534 -> 29333[label="",style="solid", color="burlywood", weight=9];
29333 -> 1786[label="",style="solid", color="burlywood", weight=3];
1541[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) vvv37) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];1541 -> 1787[label="",style="solid", color="black", weight=3];
1537 -> 1545[label="",style="dashed", color="red", weight=0];
1537[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1538 -> 1545[label="",style="dashed", color="red", weight=0];
1538[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];1542[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) vvv38) (Pos (Succ Zero) * Pos Zero + vvv40 * Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];1542 -> 1788[label="",style="solid", color="black", weight=3];
1549 -> 963[label="",style="dashed", color="red", weight=0];
1549[label="primMulNat (Succ Zero) (Succ vvv19)",fontsize=16,color="magenta"];1549 -> 1789[label="",style="dashed", color="magenta", weight=3];
1549 -> 1790[label="",style="dashed", color="magenta", weight=3];
1550 -> 963[label="",style="dashed", color="red", weight=0];
1550[label="primMulNat (Succ Zero) (Succ vvv19)",fontsize=16,color="magenta"];1550 -> 1791[label="",style="dashed", color="magenta", weight=3];
1550 -> 1792[label="",style="dashed", color="magenta", weight=3];
1554 -> 15[label="",style="dashed", color="red", weight=0];
1554[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1553[label="primQuotInt (Neg vvv46) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21) == vvv108) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];1553 -> 1793[label="",style="solid", color="black", weight=3];
1555[label="Zero",fontsize=16,color="green",shape="box"];1556[label="primQuotInt (primPlusInt (Neg vvv106) (primMulInt vvv20 (Pos (Succ vvv21)))) (reduce2D (primPlusInt (Neg vvv107) (primMulInt vvv20 (Pos (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29339[label="vvv20/Pos vvv200",fontsize=10,color="white",style="solid",shape="box"];1556 -> 29339[label="",style="solid", color="burlywood", weight=9];
29339 -> 1794[label="",style="solid", color="burlywood", weight=3];
29340[label="vvv20/Neg vvv200",fontsize=10,color="white",style="solid",shape="box"];1556 -> 29340[label="",style="solid", color="burlywood", weight=9];
29340 -> 1795[label="",style="solid", color="burlywood", weight=3];
1557[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) vvv42) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];1557 -> 1796[label="",style="solid", color="black", weight=3];
1558[label="Succ Zero",fontsize=16,color="green",shape="box"];1559[label="Succ Zero",fontsize=16,color="green",shape="box"];1560[label="primQuotInt (primPlusInt (Neg vvv43) (primMulInt vvv40 (Pos Zero))) (reduce2D (primPlusInt (Neg vvv44) (primMulInt vvv40 (Pos Zero))) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29341[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];1560 -> 29341[label="",style="solid", color="burlywood", weight=9];
29341 -> 1797[label="",style="solid", color="burlywood", weight=3];
29342[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];1560 -> 29342[label="",style="solid", color="burlywood", weight=9];
29342 -> 1798[label="",style="solid", color="burlywood", weight=3];
1561[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) vvv49) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];1561 -> 1799[label="",style="solid", color="black", weight=3];
1562[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) vvv50) (Pos (Succ Zero) * Neg Zero + vvv40 * Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];1562 -> 1800[label="",style="solid", color="black", weight=3];
1569 -> 963[label="",style="dashed", color="red", weight=0];
1569[label="primMulNat (Succ Zero) (Succ vvv24)",fontsize=16,color="magenta"];1569 -> 1801[label="",style="dashed", color="magenta", weight=3];
1569 -> 1802[label="",style="dashed", color="magenta", weight=3];
1570 -> 963[label="",style="dashed", color="red", weight=0];
1570[label="primMulNat (Succ Zero) (Succ vvv24)",fontsize=16,color="magenta"];1570 -> 1803[label="",style="dashed", color="magenta", weight=3];
1570 -> 1804[label="",style="dashed", color="magenta", weight=3];
1572 -> 15[label="",style="dashed", color="red", weight=0];
1572[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1571[label="primQuotInt (Neg vvv51) (gcd2 (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26) == vvv111) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];1571 -> 1805[label="",style="solid", color="black", weight=3];
1573[label="primQuotInt (primPlusInt (Pos vvv109) (primMulInt vvv25 (Neg (Succ vvv26)))) (reduce2D (primPlusInt (Pos vvv110) (primMulInt vvv25 (Neg (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29346[label="vvv25/Pos vvv250",fontsize=10,color="white",style="solid",shape="box"];1573 -> 29346[label="",style="solid", color="burlywood", weight=9];
29346 -> 1806[label="",style="solid", color="burlywood", weight=3];
29347[label="vvv25/Neg vvv250",fontsize=10,color="white",style="solid",shape="box"];1573 -> 29347[label="",style="solid", color="burlywood", weight=9];
29347 -> 1807[label="",style="solid", color="burlywood", weight=3];
1574[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) vvv66) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg (Succ vvv500)) (Neg Zero))",fontsize=16,color="black",shape="box"];1574 -> 1808[label="",style="solid", color="black", weight=3];
1575[label="Succ Zero",fontsize=16,color="green",shape="box"];1576[label="vvv4100",fontsize=16,color="green",shape="box"];1577[label="Succ Zero",fontsize=16,color="green",shape="box"];1578[label="vvv4100",fontsize=16,color="green",shape="box"];1579[label="primQuotInt (primPlusInt (Pos vvv67) (primMulInt vvv40 (Neg Zero))) (reduce2D (primPlusInt (Pos vvv68) (primMulInt vvv40 (Neg Zero))) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29348[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];1579 -> 29348[label="",style="solid", color="burlywood", weight=9];
29348 -> 1809[label="",style="solid", color="burlywood", weight=3];
29349[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];1579 -> 29349[label="",style="solid", color="burlywood", weight=9];
29349 -> 1810[label="",style="solid", color="burlywood", weight=3];
1580[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) vvv69) (Pos (Succ Zero) * Pos (Succ vvv4100) + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];1580 -> 1811[label="",style="solid", color="black", weight=3];
1581[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) vvv70) (Pos (Succ Zero) * Pos Zero + vvv40 * Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];1581 -> 1812[label="",style="solid", color="black", weight=3];
1588 -> 963[label="",style="dashed", color="red", weight=0];
1588[label="primMulNat (Succ Zero) (Succ vvv29)",fontsize=16,color="magenta"];1588 -> 1813[label="",style="dashed", color="magenta", weight=3];
1588 -> 1814[label="",style="dashed", color="magenta", weight=3];
1589 -> 963[label="",style="dashed", color="red", weight=0];
1589[label="primMulNat (Succ Zero) (Succ vvv29)",fontsize=16,color="magenta"];1589 -> 1815[label="",style="dashed", color="magenta", weight=3];
1589 -> 1816[label="",style="dashed", color="magenta", weight=3];
1591 -> 15[label="",style="dashed", color="red", weight=0];
1591[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];1590[label="primQuotInt (Pos vvv71) (gcd2 (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31) == vvv114) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];1590 -> 1817[label="",style="solid", color="black", weight=3];
1592[label="primQuotInt (primPlusInt (Neg vvv112) (primMulInt vvv30 (Neg (Succ vvv31)))) (reduce2D (primPlusInt (Neg vvv113) (primMulInt vvv30 (Neg (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29353[label="vvv30/Pos vvv300",fontsize=10,color="white",style="solid",shape="box"];1592 -> 29353[label="",style="solid", color="burlywood", weight=9];
29353 -> 1818[label="",style="solid", color="burlywood", weight=3];
29354[label="vvv30/Neg vvv300",fontsize=10,color="white",style="solid",shape="box"];1592 -> 29354[label="",style="solid", color="burlywood", weight=9];
29354 -> 1819[label="",style="solid", color="burlywood", weight=3];
1593[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) vvv86) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg (Succ vvv500)) (Pos Zero))",fontsize=16,color="black",shape="box"];1593 -> 1820[label="",style="solid", color="black", weight=3];
1594[label="Succ Zero",fontsize=16,color="green",shape="box"];1595[label="Succ Zero",fontsize=16,color="green",shape="box"];1596[label="primQuotInt (primPlusInt (Neg vvv87) (primMulInt vvv40 (Neg Zero))) (reduce2D (primPlusInt (Neg vvv88) (primMulInt vvv40 (Neg Zero))) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29355[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];1596 -> 29355[label="",style="solid", color="burlywood", weight=9];
29355 -> 1821[label="",style="solid", color="burlywood", weight=3];
29356[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];1596 -> 29356[label="",style="solid", color="burlywood", weight=9];
29356 -> 1822[label="",style="solid", color="burlywood", weight=3];
1597[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) vvv89) (Pos (Succ Zero) * Neg (Succ vvv4100) + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];1597 -> 1823[label="",style="solid", color="black", weight=3];
1598[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) vvv90) (Pos (Succ Zero) * Neg Zero + vvv40 * Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];1598 -> 1824[label="",style="solid", color="black", weight=3];
2005[label="Succ Zero",fontsize=16,color="green",shape="box"];2006[label="vvv8",fontsize=16,color="green",shape="box"];2007[label="Succ Zero",fontsize=16,color="green",shape="box"];2008[label="vvv8",fontsize=16,color="green",shape="box"];2009[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) vvv163) (Pos (Succ Zero) * Pos (Succ vvv8) + vvv9 * Pos (Succ vvv10)) (Pos vvv116))",fontsize=16,color="black",shape="box"];2009 -> 2015[label="",style="solid", color="black", weight=3];
2013[label="primQuotInt (primPlusInt (Pos vvv161) (primMulInt (Pos vvv90) (Pos (Succ vvv10)))) (reduce2D (primPlusInt (Pos vvv162) (primMulInt (Pos vvv90) (Pos (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="black",shape="box"];2013 -> 2026[label="",style="solid", color="black", weight=3];
2014[label="primQuotInt (primPlusInt (Pos vvv161) (primMulInt (Neg vvv90) (Pos (Succ vvv10)))) (reduce2D (primPlusInt (Pos vvv162) (primMulInt (Neg vvv90) (Pos (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="black",shape="box"];2014 -> 2027[label="",style="solid", color="black", weight=3];
1780[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos (Succ vvv500))) vvv36) (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];1780 -> 1856[label="",style="solid", color="black", weight=3];
1781[label="Succ Zero",fontsize=16,color="green",shape="box"];1782[label="vvv4100",fontsize=16,color="green",shape="box"];1783[label="Succ Zero",fontsize=16,color="green",shape="box"];1784[label="vvv4100",fontsize=16,color="green",shape="box"];1785[label="primQuotInt (primPlusInt (Pos vvv104) (primMulInt (Pos vvv400) (Pos Zero))) (reduce2D (primPlusInt (Pos vvv105) (primMulInt (Pos vvv400) (Pos Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];1785 -> 1857[label="",style="solid", color="black", weight=3];
1786[label="primQuotInt (primPlusInt (Pos vvv104) (primMulInt (Neg vvv400) (Pos Zero))) (reduce2D (primPlusInt (Pos vvv105) (primMulInt (Neg vvv400) (Pos Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];1786 -> 1858[label="",style="solid", color="black", weight=3];
1787[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Pos Zero)) vvv37) (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1787 -> 1859[label="",style="solid", color="black", weight=3];
1788[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos Zero)) vvv38) (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1788 -> 1860[label="",style="solid", color="black", weight=3];
1789[label="Succ Zero",fontsize=16,color="green",shape="box"];1790[label="vvv19",fontsize=16,color="green",shape="box"];1791[label="Succ Zero",fontsize=16,color="green",shape="box"];1792[label="vvv19",fontsize=16,color="green",shape="box"];1793[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) vvv108) (Pos (Succ Zero) * Neg (Succ vvv19) + vvv20 * Pos (Succ vvv21)) (Neg vvv47))",fontsize=16,color="black",shape="box"];1793 -> 1861[label="",style="solid", color="black", weight=3];
1794[label="primQuotInt (primPlusInt (Neg vvv106) (primMulInt (Pos vvv200) (Pos (Succ vvv21)))) (reduce2D (primPlusInt (Neg vvv107) (primMulInt (Pos vvv200) (Pos (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="black",shape="box"];1794 -> 1862[label="",style="solid", color="black", weight=3];
1795[label="primQuotInt (primPlusInt (Neg vvv106) (primMulInt (Neg vvv200) (Pos (Succ vvv21)))) (reduce2D (primPlusInt (Neg vvv107) (primMulInt (Neg vvv200) (Pos (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="black",shape="box"];1795 -> 1863[label="",style="solid", color="black", weight=3];
1796[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos (Succ vvv500))) vvv42) (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];1796 -> 1864[label="",style="solid", color="black", weight=3];
1797[label="primQuotInt (primPlusInt (Neg vvv43) (primMulInt (Pos vvv400) (Pos Zero))) (reduce2D (primPlusInt (Neg vvv44) (primMulInt (Pos vvv400) (Pos Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];1797 -> 1865[label="",style="solid", color="black", weight=3];
1798[label="primQuotInt (primPlusInt (Neg vvv43) (primMulInt (Neg vvv400) (Pos Zero))) (reduce2D (primPlusInt (Neg vvv44) (primMulInt (Neg vvv400) (Pos Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];1798 -> 1866[label="",style="solid", color="black", weight=3];
1799[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Pos Zero)) vvv49) (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1799 -> 1867[label="",style="solid", color="black", weight=3];
1800[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos Zero)) vvv50) (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1800 -> 1868[label="",style="solid", color="black", weight=3];
1801[label="Succ Zero",fontsize=16,color="green",shape="box"];1802[label="vvv24",fontsize=16,color="green",shape="box"];1803[label="Succ Zero",fontsize=16,color="green",shape="box"];1804[label="vvv24",fontsize=16,color="green",shape="box"];1805[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) vvv111) (Pos (Succ Zero) * Pos (Succ vvv24) + vvv25 * Neg (Succ vvv26)) (Neg vvv52))",fontsize=16,color="black",shape="box"];1805 -> 1869[label="",style="solid", color="black", weight=3];
1806[label="primQuotInt (primPlusInt (Pos vvv109) (primMulInt (Pos vvv250) (Neg (Succ vvv26)))) (reduce2D (primPlusInt (Pos vvv110) (primMulInt (Pos vvv250) (Neg (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="black",shape="box"];1806 -> 1870[label="",style="solid", color="black", weight=3];
1807[label="primQuotInt (primPlusInt (Pos vvv109) (primMulInt (Neg vvv250) (Neg (Succ vvv26)))) (reduce2D (primPlusInt (Pos vvv110) (primMulInt (Neg vvv250) (Neg (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="black",shape="box"];1807 -> 1871[label="",style="solid", color="black", weight=3];
1808[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg (Succ vvv500))) vvv66) (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];1808 -> 1872[label="",style="solid", color="black", weight=3];
1809[label="primQuotInt (primPlusInt (Pos vvv67) (primMulInt (Pos vvv400) (Neg Zero))) (reduce2D (primPlusInt (Pos vvv68) (primMulInt (Pos vvv400) (Neg Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];1809 -> 1873[label="",style="solid", color="black", weight=3];
1810[label="primQuotInt (primPlusInt (Pos vvv67) (primMulInt (Neg vvv400) (Neg Zero))) (reduce2D (primPlusInt (Pos vvv68) (primMulInt (Neg vvv400) (Neg Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];1810 -> 1874[label="",style="solid", color="black", weight=3];
1811[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Neg Zero)) vvv69) (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv4100)) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1811 -> 1875[label="",style="solid", color="black", weight=3];
1812[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg Zero)) vvv70) (primPlusInt (Pos (Succ Zero) * Pos Zero) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1812 -> 1876[label="",style="solid", color="black", weight=3];
1813[label="Succ Zero",fontsize=16,color="green",shape="box"];1814[label="vvv29",fontsize=16,color="green",shape="box"];1815[label="Succ Zero",fontsize=16,color="green",shape="box"];1816[label="vvv29",fontsize=16,color="green",shape="box"];1817[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) vvv114) (Pos (Succ Zero) * Neg (Succ vvv29) + vvv30 * Neg (Succ vvv31)) (Pos vvv72))",fontsize=16,color="black",shape="box"];1817 -> 1877[label="",style="solid", color="black", weight=3];
1818[label="primQuotInt (primPlusInt (Neg vvv112) (primMulInt (Pos vvv300) (Neg (Succ vvv31)))) (reduce2D (primPlusInt (Neg vvv113) (primMulInt (Pos vvv300) (Neg (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="black",shape="box"];1818 -> 1878[label="",style="solid", color="black", weight=3];
1819[label="primQuotInt (primPlusInt (Neg vvv112) (primMulInt (Neg vvv300) (Neg (Succ vvv31)))) (reduce2D (primPlusInt (Neg vvv113) (primMulInt (Neg vvv300) (Neg (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="black",shape="box"];1819 -> 1879[label="",style="solid", color="black", weight=3];
1820[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg (Succ vvv500))) vvv86) (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];1820 -> 1880[label="",style="solid", color="black", weight=3];
1821[label="primQuotInt (primPlusInt (Neg vvv87) (primMulInt (Pos vvv400) (Neg Zero))) (reduce2D (primPlusInt (Neg vvv88) (primMulInt (Pos vvv400) (Neg Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];1821 -> 1881[label="",style="solid", color="black", weight=3];
1822[label="primQuotInt (primPlusInt (Neg vvv87) (primMulInt (Neg vvv400) (Neg Zero))) (reduce2D (primPlusInt (Neg vvv88) (primMulInt (Neg vvv400) (Neg Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];1822 -> 1882[label="",style="solid", color="black", weight=3];
1823[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Neg Zero)) vvv89) (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv4100)) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1823 -> 1883[label="",style="solid", color="black", weight=3];
1824[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg Zero)) vvv90) (primPlusInt (Pos (Succ Zero) * Neg Zero) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1824 -> 1884[label="",style="solid", color="black", weight=3];
2015[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv8)) (vvv9 * Pos (Succ vvv10))) vvv163) (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv8)) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="black",shape="box"];2015 -> 2028[label="",style="solid", color="black", weight=3];
2026 -> 2043[label="",style="dashed", color="red", weight=0];
2026[label="primQuotInt (primPlusInt (Pos vvv161) (Pos (primMulNat vvv90 (Succ vvv10)))) (reduce2D (primPlusInt (Pos vvv162) (Pos (primMulNat vvv90 (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="magenta"];2026 -> 2044[label="",style="dashed", color="magenta", weight=3];
2026 -> 2045[label="",style="dashed", color="magenta", weight=3];
2027 -> 2056[label="",style="dashed", color="red", weight=0];
2027[label="primQuotInt (primPlusInt (Pos vvv161) (Neg (primMulNat vvv90 (Succ vvv10)))) (reduce2D (primPlusInt (Pos vvv162) (Neg (primMulNat vvv90 (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="magenta"];2027 -> 2057[label="",style="dashed", color="magenta", weight=3];
2027 -> 2058[label="",style="dashed", color="magenta", weight=3];
1856[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos (Succ vvv500))) vvv36) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];1856 -> 1899[label="",style="solid", color="black", weight=3];
1857 -> 2043[label="",style="dashed", color="red", weight=0];
1857[label="primQuotInt (primPlusInt (Pos vvv104) (Pos (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Pos vvv105) (Pos (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];1857 -> 2046[label="",style="dashed", color="magenta", weight=3];
1857 -> 2047[label="",style="dashed", color="magenta", weight=3];
1857 -> 2048[label="",style="dashed", color="magenta", weight=3];
1857 -> 2049[label="",style="dashed", color="magenta", weight=3];
1857 -> 2050[label="",style="dashed", color="magenta", weight=3];
1858 -> 2056[label="",style="dashed", color="red", weight=0];
1858[label="primQuotInt (primPlusInt (Pos vvv104) (Neg (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Pos vvv105) (Neg (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];1858 -> 2059[label="",style="dashed", color="magenta", weight=3];
1858 -> 2060[label="",style="dashed", color="magenta", weight=3];
1858 -> 2061[label="",style="dashed", color="magenta", weight=3];
1858 -> 2062[label="",style="dashed", color="magenta", weight=3];
1858 -> 2063[label="",style="dashed", color="magenta", weight=3];
1859[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Pos Zero)) vvv37) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1859 -> 1908[label="",style="solid", color="black", weight=3];
1860[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos Zero)) vvv38) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1860 -> 1909[label="",style="solid", color="black", weight=3];
1861[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv19)) (vvv20 * Pos (Succ vvv21))) vvv108) (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv19)) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="black",shape="box"];1861 -> 1910[label="",style="solid", color="black", weight=3];
1862 -> 1911[label="",style="dashed", color="red", weight=0];
1862[label="primQuotInt (primPlusInt (Neg vvv106) (Pos (primMulNat vvv200 (Succ vvv21)))) (reduce2D (primPlusInt (Neg vvv107) (Pos (primMulNat vvv200 (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="magenta"];1862 -> 1912[label="",style="dashed", color="magenta", weight=3];
1862 -> 1913[label="",style="dashed", color="magenta", weight=3];
1863 -> 1924[label="",style="dashed", color="red", weight=0];
1863[label="primQuotInt (primPlusInt (Neg vvv106) (Neg (primMulNat vvv200 (Succ vvv21)))) (reduce2D (primPlusInt (Neg vvv107) (Neg (primMulNat vvv200 (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="magenta"];1863 -> 1925[label="",style="dashed", color="magenta", weight=3];
1863 -> 1926[label="",style="dashed", color="magenta", weight=3];
1864[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos (Succ vvv500))) vvv42) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];1864 -> 1938[label="",style="solid", color="black", weight=3];
1865 -> 1911[label="",style="dashed", color="red", weight=0];
1865[label="primQuotInt (primPlusInt (Neg vvv43) (Pos (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Neg vvv44) (Pos (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];1865 -> 1914[label="",style="dashed", color="magenta", weight=3];
1865 -> 1915[label="",style="dashed", color="magenta", weight=3];
1865 -> 1916[label="",style="dashed", color="magenta", weight=3];
1865 -> 1917[label="",style="dashed", color="magenta", weight=3];
1865 -> 1918[label="",style="dashed", color="magenta", weight=3];
1866 -> 1924[label="",style="dashed", color="red", weight=0];
1866[label="primQuotInt (primPlusInt (Neg vvv43) (Neg (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Neg vvv44) (Neg (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];1866 -> 1927[label="",style="dashed", color="magenta", weight=3];
1866 -> 1928[label="",style="dashed", color="magenta", weight=3];
1866 -> 1929[label="",style="dashed", color="magenta", weight=3];
1866 -> 1930[label="",style="dashed", color="magenta", weight=3];
1866 -> 1931[label="",style="dashed", color="magenta", weight=3];
1867[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Pos Zero)) vvv49) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1867 -> 1939[label="",style="solid", color="black", weight=3];
1868[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos Zero)) vvv50) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1868 -> 1940[label="",style="solid", color="black", weight=3];
1869[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv24)) (vvv25 * Neg (Succ vvv26))) vvv111) (primPlusInt (Pos (Succ Zero) * Pos (Succ vvv24)) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="black",shape="box"];1869 -> 1941[label="",style="solid", color="black", weight=3];
1870 -> 1942[label="",style="dashed", color="red", weight=0];
1870[label="primQuotInt (primPlusInt (Pos vvv109) (Neg (primMulNat vvv250 (Succ vvv26)))) (reduce2D (primPlusInt (Pos vvv110) (Neg (primMulNat vvv250 (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="magenta"];1870 -> 1943[label="",style="dashed", color="magenta", weight=3];
1870 -> 1944[label="",style="dashed", color="magenta", weight=3];
1871 -> 1954[label="",style="dashed", color="red", weight=0];
1871[label="primQuotInt (primPlusInt (Pos vvv109) (Pos (primMulNat vvv250 (Succ vvv26)))) (reduce2D (primPlusInt (Pos vvv110) (Pos (primMulNat vvv250 (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="magenta"];1871 -> 1955[label="",style="dashed", color="magenta", weight=3];
1871 -> 1956[label="",style="dashed", color="magenta", weight=3];
1872[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg (Succ vvv500))) vvv66) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg (Succ vvv500))) (Neg Zero))",fontsize=16,color="black",shape="box"];1872 -> 1964[label="",style="solid", color="black", weight=3];
1873 -> 1942[label="",style="dashed", color="red", weight=0];
1873[label="primQuotInt (primPlusInt (Pos vvv67) (Neg (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Pos vvv68) (Neg (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];1873 -> 1945[label="",style="dashed", color="magenta", weight=3];
1873 -> 1946[label="",style="dashed", color="magenta", weight=3];
1873 -> 1947[label="",style="dashed", color="magenta", weight=3];
1873 -> 1948[label="",style="dashed", color="magenta", weight=3];
1873 -> 1949[label="",style="dashed", color="magenta", weight=3];
1874 -> 1954[label="",style="dashed", color="red", weight=0];
1874[label="primQuotInt (primPlusInt (Pos vvv67) (Pos (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Pos vvv68) (Pos (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];1874 -> 1957[label="",style="dashed", color="magenta", weight=3];
1874 -> 1958[label="",style="dashed", color="magenta", weight=3];
1874 -> 1959[label="",style="dashed", color="magenta", weight=3];
1874 -> 1960[label="",style="dashed", color="magenta", weight=3];
1874 -> 1961[label="",style="dashed", color="magenta", weight=3];
1875[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Neg Zero)) vvv69) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv4100))) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1875 -> 1965[label="",style="solid", color="black", weight=3];
1876[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg Zero)) vvv70) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos Zero)) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];1876 -> 1966[label="",style="solid", color="black", weight=3];
1877[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv29)) (vvv30 * Neg (Succ vvv31))) vvv114) (primPlusInt (Pos (Succ Zero) * Neg (Succ vvv29)) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="black",shape="box"];1877 -> 1967[label="",style="solid", color="black", weight=3];
1878 -> 1968[label="",style="dashed", color="red", weight=0];
1878[label="primQuotInt (primPlusInt (Neg vvv112) (Neg (primMulNat vvv300 (Succ vvv31)))) (reduce2D (primPlusInt (Neg vvv113) (Neg (primMulNat vvv300 (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="magenta"];1878 -> 1969[label="",style="dashed", color="magenta", weight=3];
1878 -> 1970[label="",style="dashed", color="magenta", weight=3];
1879 -> 1978[label="",style="dashed", color="red", weight=0];
1879[label="primQuotInt (primPlusInt (Neg vvv112) (Pos (primMulNat vvv300 (Succ vvv31)))) (reduce2D (primPlusInt (Neg vvv113) (Pos (primMulNat vvv300 (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="magenta"];1879 -> 1979[label="",style="dashed", color="magenta", weight=3];
1879 -> 1980[label="",style="dashed", color="magenta", weight=3];
1880[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg (Succ vvv500))) vvv86) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg (Succ vvv500))) (Pos Zero))",fontsize=16,color="black",shape="box"];1880 -> 1988[label="",style="solid", color="black", weight=3];
1881 -> 1968[label="",style="dashed", color="red", weight=0];
1881[label="primQuotInt (primPlusInt (Neg vvv87) (Neg (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Neg vvv88) (Neg (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];1881 -> 1971[label="",style="dashed", color="magenta", weight=3];
1881 -> 1972[label="",style="dashed", color="magenta", weight=3];
1881 -> 1973[label="",style="dashed", color="magenta", weight=3];
1881 -> 1974[label="",style="dashed", color="magenta", weight=3];
1881 -> 1975[label="",style="dashed", color="magenta", weight=3];
1882 -> 1978[label="",style="dashed", color="red", weight=0];
1882[label="primQuotInt (primPlusInt (Neg vvv87) (Pos (primMulNat vvv400 Zero))) (reduce2D (primPlusInt (Neg vvv88) (Pos (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];1882 -> 1981[label="",style="dashed", color="magenta", weight=3];
1882 -> 1982[label="",style="dashed", color="magenta", weight=3];
1882 -> 1983[label="",style="dashed", color="magenta", weight=3];
1882 -> 1984[label="",style="dashed", color="magenta", weight=3];
1882 -> 1985[label="",style="dashed", color="magenta", weight=3];
1883[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Neg Zero)) vvv89) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv4100))) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1883 -> 1989[label="",style="solid", color="black", weight=3];
1884[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg Zero)) vvv90) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg Zero)) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];1884 -> 1990[label="",style="solid", color="black", weight=3];
2028[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) vvv163) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="black",shape="box"];2028 -> 2069[label="",style="solid", color="black", weight=3];
2044 -> 963[label="",style="dashed", color="red", weight=0];
2044[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2044 -> 2070[label="",style="dashed", color="magenta", weight=3];
2044 -> 2071[label="",style="dashed", color="magenta", weight=3];
2045 -> 963[label="",style="dashed", color="red", weight=0];
2045[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2045 -> 2072[label="",style="dashed", color="magenta", weight=3];
2045 -> 2073[label="",style="dashed", color="magenta", weight=3];
2043[label="primQuotInt (primPlusInt (Pos vvv161) (Pos vvv170)) (reduce2D (primPlusInt (Pos vvv162) (Pos vvv171)) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2043 -> 2074[label="",style="solid", color="black", weight=3];
2057 -> 963[label="",style="dashed", color="red", weight=0];
2057[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2057 -> 2075[label="",style="dashed", color="magenta", weight=3];
2057 -> 2076[label="",style="dashed", color="magenta", weight=3];
2058 -> 963[label="",style="dashed", color="red", weight=0];
2058[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2058 -> 2077[label="",style="dashed", color="magenta", weight=3];
2058 -> 2078[label="",style="dashed", color="magenta", weight=3];
2056[label="primQuotInt (primPlusInt (Pos vvv161) (Neg vvv172)) (reduce2D (primPlusInt (Pos vvv162) (Neg vvv173)) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2056 -> 2079[label="",style="solid", color="black", weight=3];
1899 -> 2136[label="",style="dashed", color="red", weight=0];
1899[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) vvv36) (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) (Pos Zero))",fontsize=16,color="magenta"];1899 -> 2137[label="",style="dashed", color="magenta", weight=3];
1899 -> 2138[label="",style="dashed", color="magenta", weight=3];
1899 -> 2139[label="",style="dashed", color="magenta", weight=3];
1899 -> 2140[label="",style="dashed", color="magenta", weight=3];
1899 -> 2141[label="",style="dashed", color="magenta", weight=3];
1899 -> 2142[label="",style="dashed", color="magenta", weight=3];
1899 -> 2143[label="",style="dashed", color="magenta", weight=3];
2046[label="vvv105",fontsize=16,color="green",shape="box"];2047[label="Zero",fontsize=16,color="green",shape="box"];2048[label="vvv104",fontsize=16,color="green",shape="box"];2049[label="primMulNat vvv400 Zero",fontsize=16,color="burlywood",shape="triangle"];29378[label="vvv400/Succ vvv4000",fontsize=10,color="white",style="solid",shape="box"];2049 -> 29378[label="",style="solid", color="burlywood", weight=9];
29378 -> 2080[label="",style="solid", color="burlywood", weight=3];
29379[label="vvv400/Zero",fontsize=10,color="white",style="solid",shape="box"];2049 -> 29379[label="",style="solid", color="burlywood", weight=9];
29379 -> 2081[label="",style="solid", color="burlywood", weight=3];
2050 -> 2049[label="",style="dashed", color="red", weight=0];
2050[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2059[label="vvv105",fontsize=16,color="green",shape="box"];2060 -> 2049[label="",style="dashed", color="red", weight=0];
2060[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2060 -> 2082[label="",style="dashed", color="magenta", weight=3];
2061[label="Zero",fontsize=16,color="green",shape="box"];2062 -> 2049[label="",style="dashed", color="red", weight=0];
2062[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2062 -> 2083[label="",style="dashed", color="magenta", weight=3];
2063[label="vvv104",fontsize=16,color="green",shape="box"];1908 -> 2020[label="",style="dashed", color="red", weight=0];
1908[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) vvv37) (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="magenta"];1908 -> 2021[label="",style="dashed", color="magenta", weight=3];
1908 -> 2022[label="",style="dashed", color="magenta", weight=3];
1909 -> 2020[label="",style="dashed", color="red", weight=0];
1909[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) vvv38) (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="magenta"];1909 -> 2023[label="",style="dashed", color="magenta", weight=3];
1909 -> 2024[label="",style="dashed", color="magenta", weight=3];
1909 -> 2025[label="",style="dashed", color="magenta", weight=3];
1910[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) vvv108) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="black",shape="box"];1910 -> 2029[label="",style="solid", color="black", weight=3];
1912 -> 963[label="",style="dashed", color="red", weight=0];
1912[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];1912 -> 2030[label="",style="dashed", color="magenta", weight=3];
1912 -> 2031[label="",style="dashed", color="magenta", weight=3];
1913 -> 963[label="",style="dashed", color="red", weight=0];
1913[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];1913 -> 2032[label="",style="dashed", color="magenta", weight=3];
1913 -> 2033[label="",style="dashed", color="magenta", weight=3];
1911[label="primQuotInt (primPlusInt (Neg vvv106) (Pos vvv147)) (reduce2D (primPlusInt (Neg vvv107) (Pos vvv148)) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];1911 -> 2034[label="",style="solid", color="black", weight=3];
1925 -> 963[label="",style="dashed", color="red", weight=0];
1925[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];1925 -> 2035[label="",style="dashed", color="magenta", weight=3];
1925 -> 2036[label="",style="dashed", color="magenta", weight=3];
1926 -> 963[label="",style="dashed", color="red", weight=0];
1926[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];1926 -> 2037[label="",style="dashed", color="magenta", weight=3];
1926 -> 2038[label="",style="dashed", color="magenta", weight=3];
1924[label="primQuotInt (primPlusInt (Neg vvv106) (Neg vvv149)) (reduce2D (primPlusInt (Neg vvv107) (Neg vvv150)) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];1924 -> 2039[label="",style="solid", color="black", weight=3];
1938 -> 2170[label="",style="dashed", color="red", weight=0];
1938[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) vvv42) (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos (Succ vvv500))) (Neg Zero))",fontsize=16,color="magenta"];1938 -> 2171[label="",style="dashed", color="magenta", weight=3];
1938 -> 2172[label="",style="dashed", color="magenta", weight=3];
1938 -> 2173[label="",style="dashed", color="magenta", weight=3];
1938 -> 2174[label="",style="dashed", color="magenta", weight=3];
1938 -> 2175[label="",style="dashed", color="magenta", weight=3];
1938 -> 2176[label="",style="dashed", color="magenta", weight=3];
1938 -> 2177[label="",style="dashed", color="magenta", weight=3];
1914[label="Zero",fontsize=16,color="green",shape="box"];1915[label="vvv43",fontsize=16,color="green",shape="box"];1916 -> 2049[label="",style="dashed", color="red", weight=0];
1916[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1917[label="vvv44",fontsize=16,color="green",shape="box"];1918 -> 2049[label="",style="dashed", color="red", weight=0];
1918[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1927[label="Zero",fontsize=16,color="green",shape="box"];1928 -> 2049[label="",style="dashed", color="red", weight=0];
1928[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1928 -> 2084[label="",style="dashed", color="magenta", weight=3];
1929 -> 2049[label="",style="dashed", color="red", weight=0];
1929[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1929 -> 2085[label="",style="dashed", color="magenta", weight=3];
1930[label="vvv43",fontsize=16,color="green",shape="box"];1931[label="vvv44",fontsize=16,color="green",shape="box"];1939 -> 2086[label="",style="dashed", color="red", weight=0];
1939[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) vvv49) (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="magenta"];1939 -> 2087[label="",style="dashed", color="magenta", weight=3];
1939 -> 2088[label="",style="dashed", color="magenta", weight=3];
1940 -> 2086[label="",style="dashed", color="red", weight=0];
1940[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) vvv50) (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="magenta"];1940 -> 2089[label="",style="dashed", color="magenta", weight=3];
1940 -> 2090[label="",style="dashed", color="magenta", weight=3];
1940 -> 2091[label="",style="dashed", color="magenta", weight=3];
1941[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) vvv111) (primPlusInt (primMulInt (Pos (Succ Zero)) (Pos (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="black",shape="box"];1941 -> 2092[label="",style="solid", color="black", weight=3];
1943 -> 963[label="",style="dashed", color="red", weight=0];
1943[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];1943 -> 2093[label="",style="dashed", color="magenta", weight=3];
1943 -> 2094[label="",style="dashed", color="magenta", weight=3];
1944 -> 963[label="",style="dashed", color="red", weight=0];
1944[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];1944 -> 2095[label="",style="dashed", color="magenta", weight=3];
1944 -> 2096[label="",style="dashed", color="magenta", weight=3];
1942[label="primQuotInt (primPlusInt (Pos vvv109) (Neg vvv151)) (reduce2D (primPlusInt (Pos vvv110) (Neg vvv152)) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];1942 -> 2097[label="",style="solid", color="black", weight=3];
1955 -> 963[label="",style="dashed", color="red", weight=0];
1955[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];1955 -> 2098[label="",style="dashed", color="magenta", weight=3];
1955 -> 2099[label="",style="dashed", color="magenta", weight=3];
1956 -> 963[label="",style="dashed", color="red", weight=0];
1956[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];1956 -> 2100[label="",style="dashed", color="magenta", weight=3];
1956 -> 2101[label="",style="dashed", color="magenta", weight=3];
1954[label="primQuotInt (primPlusInt (Pos vvv109) (Pos vvv153)) (reduce2D (primPlusInt (Pos vvv110) (Pos vvv154)) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];1954 -> 2102[label="",style="solid", color="black", weight=3];
1964 -> 2200[label="",style="dashed", color="red", weight=0];
1964[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) vvv66) (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) (Neg Zero))",fontsize=16,color="magenta"];1964 -> 2201[label="",style="dashed", color="magenta", weight=3];
1964 -> 2202[label="",style="dashed", color="magenta", weight=3];
1964 -> 2203[label="",style="dashed", color="magenta", weight=3];
1964 -> 2204[label="",style="dashed", color="magenta", weight=3];
1964 -> 2205[label="",style="dashed", color="magenta", weight=3];
1964 -> 2206[label="",style="dashed", color="magenta", weight=3];
1964 -> 2207[label="",style="dashed", color="magenta", weight=3];
1945[label="vvv67",fontsize=16,color="green",shape="box"];1946 -> 2049[label="",style="dashed", color="red", weight=0];
1946[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1947[label="vvv68",fontsize=16,color="green",shape="box"];1948 -> 2049[label="",style="dashed", color="red", weight=0];
1948[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1949[label="Zero",fontsize=16,color="green",shape="box"];1957 -> 2049[label="",style="dashed", color="red", weight=0];
1957[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1957 -> 2106[label="",style="dashed", color="magenta", weight=3];
1958 -> 2049[label="",style="dashed", color="red", weight=0];
1958[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1958 -> 2107[label="",style="dashed", color="magenta", weight=3];
1959[label="vvv67",fontsize=16,color="green",shape="box"];1960[label="vvv68",fontsize=16,color="green",shape="box"];1961[label="Zero",fontsize=16,color="green",shape="box"];1965 -> 2108[label="",style="dashed", color="red", weight=0];
1965[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) vvv69) (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="magenta"];1965 -> 2109[label="",style="dashed", color="magenta", weight=3];
1965 -> 2110[label="",style="dashed", color="magenta", weight=3];
1966 -> 2108[label="",style="dashed", color="red", weight=0];
1966[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) vvv70) (primPlusInt (Pos (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="magenta"];1966 -> 2111[label="",style="dashed", color="magenta", weight=3];
1966 -> 2112[label="",style="dashed", color="magenta", weight=3];
1966 -> 2113[label="",style="dashed", color="magenta", weight=3];
1967[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) vvv114) (primPlusInt (primMulInt (Pos (Succ Zero)) (Neg (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="black",shape="box"];1967 -> 2114[label="",style="solid", color="black", weight=3];
1969 -> 963[label="",style="dashed", color="red", weight=0];
1969[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];1969 -> 2115[label="",style="dashed", color="magenta", weight=3];
1969 -> 2116[label="",style="dashed", color="magenta", weight=3];
1970 -> 963[label="",style="dashed", color="red", weight=0];
1970[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];1970 -> 2117[label="",style="dashed", color="magenta", weight=3];
1970 -> 2118[label="",style="dashed", color="magenta", weight=3];
1968[label="primQuotInt (primPlusInt (Neg vvv112) (Neg vvv155)) (reduce2D (primPlusInt (Neg vvv113) (Neg vvv156)) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];1968 -> 2119[label="",style="solid", color="black", weight=3];
1979 -> 963[label="",style="dashed", color="red", weight=0];
1979[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];1979 -> 2120[label="",style="dashed", color="magenta", weight=3];
1979 -> 2121[label="",style="dashed", color="magenta", weight=3];
1980 -> 963[label="",style="dashed", color="red", weight=0];
1980[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];1980 -> 2122[label="",style="dashed", color="magenta", weight=3];
1980 -> 2123[label="",style="dashed", color="magenta", weight=3];
1978[label="primQuotInt (primPlusInt (Neg vvv112) (Pos vvv157)) (reduce2D (primPlusInt (Neg vvv113) (Pos vvv158)) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];1978 -> 2124[label="",style="solid", color="black", weight=3];
1988 -> 2233[label="",style="dashed", color="red", weight=0];
1988[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) vvv86) (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg (Succ vvv500))) (Pos Zero))",fontsize=16,color="magenta"];1988 -> 2234[label="",style="dashed", color="magenta", weight=3];
1988 -> 2235[label="",style="dashed", color="magenta", weight=3];
1988 -> 2236[label="",style="dashed", color="magenta", weight=3];
1988 -> 2237[label="",style="dashed", color="magenta", weight=3];
1988 -> 2238[label="",style="dashed", color="magenta", weight=3];
1988 -> 2239[label="",style="dashed", color="magenta", weight=3];
1988 -> 2240[label="",style="dashed", color="magenta", weight=3];
1971 -> 2049[label="",style="dashed", color="red", weight=0];
1971[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1972 -> 2049[label="",style="dashed", color="red", weight=0];
1972[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1973[label="vvv87",fontsize=16,color="green",shape="box"];1974[label="Zero",fontsize=16,color="green",shape="box"];1975[label="vvv88",fontsize=16,color="green",shape="box"];1981 -> 2049[label="",style="dashed", color="red", weight=0];
1981[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1981 -> 2128[label="",style="dashed", color="magenta", weight=3];
1982[label="vvv87",fontsize=16,color="green",shape="box"];1983[label="Zero",fontsize=16,color="green",shape="box"];1984[label="vvv88",fontsize=16,color="green",shape="box"];1985 -> 2049[label="",style="dashed", color="red", weight=0];
1985[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];1985 -> 2129[label="",style="dashed", color="magenta", weight=3];
1989 -> 2130[label="",style="dashed", color="red", weight=0];
1989[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) vvv89) (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv4100))) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="magenta"];1989 -> 2131[label="",style="dashed", color="magenta", weight=3];
1989 -> 2132[label="",style="dashed", color="magenta", weight=3];
1990 -> 2130[label="",style="dashed", color="red", weight=0];
1990[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) vvv90) (primPlusInt (Neg (primMulNat (Succ Zero) Zero)) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="magenta"];1990 -> 2133[label="",style="dashed", color="magenta", weight=3];
1990 -> 2134[label="",style="dashed", color="magenta", weight=3];
1990 -> 2135[label="",style="dashed", color="magenta", weight=3];
2069 -> 2136[label="",style="dashed", color="red", weight=0];
2069[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) vvv163) (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv8))) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="magenta"];2069 -> 2144[label="",style="dashed", color="magenta", weight=3];
2069 -> 2145[label="",style="dashed", color="magenta", weight=3];
2070[label="vvv90",fontsize=16,color="green",shape="box"];2071[label="vvv10",fontsize=16,color="green",shape="box"];2072[label="vvv90",fontsize=16,color="green",shape="box"];2073[label="vvv10",fontsize=16,color="green",shape="box"];2074 -> 2153[label="",style="dashed", color="red", weight=0];
2074[label="primQuotInt (Pos (primPlusNat vvv161 vvv170)) (reduce2D (Pos (primPlusNat vvv161 vvv170)) (Pos vvv116))",fontsize=16,color="magenta"];2074 -> 2154[label="",style="dashed", color="magenta", weight=3];
2074 -> 2155[label="",style="dashed", color="magenta", weight=3];
2075[label="vvv90",fontsize=16,color="green",shape="box"];2076[label="vvv10",fontsize=16,color="green",shape="box"];2077[label="vvv90",fontsize=16,color="green",shape="box"];2078[label="vvv10",fontsize=16,color="green",shape="box"];2079[label="primQuotInt (primMinusNat vvv161 vvv172) (reduce2D (primMinusNat vvv161 vvv172) (Pos vvv116))",fontsize=16,color="burlywood",shape="triangle"];29420[label="vvv161/Succ vvv1610",fontsize=10,color="white",style="solid",shape="box"];2079 -> 29420[label="",style="solid", color="burlywood", weight=9];
29420 -> 2156[label="",style="solid", color="burlywood", weight=3];
29421[label="vvv161/Zero",fontsize=10,color="white",style="solid",shape="box"];2079 -> 29421[label="",style="solid", color="burlywood", weight=9];
29421 -> 2157[label="",style="solid", color="burlywood", weight=3];
2137[label="vvv40",fontsize=16,color="green",shape="box"];2138[label="Zero",fontsize=16,color="green",shape="box"];2139 -> 2049[label="",style="dashed", color="red", weight=0];
2139[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2139 -> 2158[label="",style="dashed", color="magenta", weight=3];
2140[label="Zero",fontsize=16,color="green",shape="box"];2141[label="vvv500",fontsize=16,color="green",shape="box"];2142[label="vvv36",fontsize=16,color="green",shape="box"];2143 -> 2049[label="",style="dashed", color="red", weight=0];
2143[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2143 -> 2159[label="",style="dashed", color="magenta", weight=3];
2136[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (vvv9 * Pos (Succ vvv10))) vvv163) (primPlusInt (Pos vvv184) (vvv9 * Pos (Succ vvv10))) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2136 -> 2160[label="",style="solid", color="black", weight=3];
2080[label="primMulNat (Succ vvv4000) Zero",fontsize=16,color="black",shape="box"];2080 -> 2161[label="",style="solid", color="black", weight=3];
2081[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];2081 -> 2162[label="",style="solid", color="black", weight=3];
2082[label="vvv400",fontsize=16,color="green",shape="box"];2083[label="vvv400",fontsize=16,color="green",shape="box"];2021 -> 963[label="",style="dashed", color="red", weight=0];
2021[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2021 -> 2163[label="",style="dashed", color="magenta", weight=3];
2021 -> 2164[label="",style="dashed", color="magenta", weight=3];
2022 -> 963[label="",style="dashed", color="red", weight=0];
2022[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2022 -> 2165[label="",style="dashed", color="magenta", weight=3];
2022 -> 2166[label="",style="dashed", color="magenta", weight=3];
2020[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv167) (vvv40 * Pos Zero)) vvv37) (primPlusInt (Pos vvv166) (vvv40 * Pos Zero)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];2020 -> 2167[label="",style="solid", color="black", weight=3];
2023[label="vvv38",fontsize=16,color="green",shape="box"];2024 -> 2049[label="",style="dashed", color="red", weight=0];
2024[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2024 -> 2168[label="",style="dashed", color="magenta", weight=3];
2025 -> 2049[label="",style="dashed", color="red", weight=0];
2025[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2025 -> 2169[label="",style="dashed", color="magenta", weight=3];
2029 -> 2170[label="",style="dashed", color="red", weight=0];
2029[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) vvv108) (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv19))) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="magenta"];2029 -> 2178[label="",style="dashed", color="magenta", weight=3];
2029 -> 2179[label="",style="dashed", color="magenta", weight=3];
2030[label="vvv200",fontsize=16,color="green",shape="box"];2031[label="vvv21",fontsize=16,color="green",shape="box"];2032[label="vvv200",fontsize=16,color="green",shape="box"];2033[label="vvv21",fontsize=16,color="green",shape="box"];2034[label="primQuotInt (primMinusNat vvv147 vvv106) (reduce2D (primMinusNat vvv147 vvv106) (Neg vvv47))",fontsize=16,color="burlywood",shape="triangle"];29429[label="vvv147/Succ vvv1470",fontsize=10,color="white",style="solid",shape="box"];2034 -> 29429[label="",style="solid", color="burlywood", weight=9];
29429 -> 2187[label="",style="solid", color="burlywood", weight=3];
29430[label="vvv147/Zero",fontsize=10,color="white",style="solid",shape="box"];2034 -> 29430[label="",style="solid", color="burlywood", weight=9];
29430 -> 2188[label="",style="solid", color="burlywood", weight=3];
2035[label="vvv200",fontsize=16,color="green",shape="box"];2036[label="vvv21",fontsize=16,color="green",shape="box"];2037[label="vvv200",fontsize=16,color="green",shape="box"];2038[label="vvv21",fontsize=16,color="green",shape="box"];2039 -> 2189[label="",style="dashed", color="red", weight=0];
2039[label="primQuotInt (Neg (primPlusNat vvv106 vvv149)) (reduce2D (Neg (primPlusNat vvv106 vvv149)) (Neg vvv47))",fontsize=16,color="magenta"];2039 -> 2190[label="",style="dashed", color="magenta", weight=3];
2039 -> 2191[label="",style="dashed", color="magenta", weight=3];
2171[label="Zero",fontsize=16,color="green",shape="box"];2172[label="Zero",fontsize=16,color="green",shape="box"];2173 -> 2049[label="",style="dashed", color="red", weight=0];
2173[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2173 -> 2192[label="",style="dashed", color="magenta", weight=3];
2174[label="vvv42",fontsize=16,color="green",shape="box"];2175[label="vvv500",fontsize=16,color="green",shape="box"];2176[label="vvv40",fontsize=16,color="green",shape="box"];2177 -> 2049[label="",style="dashed", color="red", weight=0];
2177[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2177 -> 2193[label="",style="dashed", color="magenta", weight=3];
2170[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (vvv20 * Pos (Succ vvv21))) vvv108) (primPlusInt (Neg vvv188) (vvv20 * Pos (Succ vvv21))) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2170 -> 2194[label="",style="solid", color="black", weight=3];
2084[label="vvv400",fontsize=16,color="green",shape="box"];2085[label="vvv400",fontsize=16,color="green",shape="box"];2087 -> 963[label="",style="dashed", color="red", weight=0];
2087[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2087 -> 2195[label="",style="dashed", color="magenta", weight=3];
2088 -> 963[label="",style="dashed", color="red", weight=0];
2088[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2088 -> 2196[label="",style="dashed", color="magenta", weight=3];
2086[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv175) (vvv40 * Pos Zero)) vvv49) (primPlusInt (Neg vvv174) (vvv40 * Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];2086 -> 2197[label="",style="solid", color="black", weight=3];
2089 -> 2049[label="",style="dashed", color="red", weight=0];
2089[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2089 -> 2198[label="",style="dashed", color="magenta", weight=3];
2090 -> 2049[label="",style="dashed", color="red", weight=0];
2090[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2090 -> 2199[label="",style="dashed", color="magenta", weight=3];
2091[label="vvv50",fontsize=16,color="green",shape="box"];2092 -> 2200[label="",style="dashed", color="red", weight=0];
2092[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) vvv111) (primPlusInt (Pos (primMulNat (Succ Zero) (Succ vvv24))) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="magenta"];2092 -> 2208[label="",style="dashed", color="magenta", weight=3];
2092 -> 2209[label="",style="dashed", color="magenta", weight=3];
2093[label="vvv250",fontsize=16,color="green",shape="box"];2094[label="vvv26",fontsize=16,color="green",shape="box"];2095[label="vvv250",fontsize=16,color="green",shape="box"];2096[label="vvv26",fontsize=16,color="green",shape="box"];2097 -> 2034[label="",style="dashed", color="red", weight=0];
2097[label="primQuotInt (primMinusNat vvv109 vvv151) (reduce2D (primMinusNat vvv109 vvv151) (Neg vvv52))",fontsize=16,color="magenta"];2097 -> 2217[label="",style="dashed", color="magenta", weight=3];
2097 -> 2218[label="",style="dashed", color="magenta", weight=3];
2097 -> 2219[label="",style="dashed", color="magenta", weight=3];
2098[label="vvv250",fontsize=16,color="green",shape="box"];2099[label="vvv26",fontsize=16,color="green",shape="box"];2100[label="vvv250",fontsize=16,color="green",shape="box"];2101[label="vvv26",fontsize=16,color="green",shape="box"];2102 -> 2220[label="",style="dashed", color="red", weight=0];
2102[label="primQuotInt (Pos (primPlusNat vvv109 vvv153)) (reduce2D (Pos (primPlusNat vvv109 vvv153)) (Neg vvv52))",fontsize=16,color="magenta"];2102 -> 2221[label="",style="dashed", color="magenta", weight=3];
2102 -> 2222[label="",style="dashed", color="magenta", weight=3];
2201[label="vvv40",fontsize=16,color="green",shape="box"];2202[label="vvv500",fontsize=16,color="green",shape="box"];2203 -> 2049[label="",style="dashed", color="red", weight=0];
2203[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2203 -> 2223[label="",style="dashed", color="magenta", weight=3];
2204[label="vvv66",fontsize=16,color="green",shape="box"];2205[label="Zero",fontsize=16,color="green",shape="box"];2206[label="Zero",fontsize=16,color="green",shape="box"];2207 -> 2049[label="",style="dashed", color="red", weight=0];
2207[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2207 -> 2224[label="",style="dashed", color="magenta", weight=3];
2200[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (vvv25 * Neg (Succ vvv26))) vvv111) (primPlusInt (Pos vvv192) (vvv25 * Neg (Succ vvv26))) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2200 -> 2225[label="",style="solid", color="black", weight=3];
2106[label="vvv400",fontsize=16,color="green",shape="box"];2107[label="vvv400",fontsize=16,color="green",shape="box"];2109 -> 963[label="",style="dashed", color="red", weight=0];
2109[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2109 -> 2226[label="",style="dashed", color="magenta", weight=3];
2109 -> 2227[label="",style="dashed", color="magenta", weight=3];
2110 -> 963[label="",style="dashed", color="red", weight=0];
2110[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2110 -> 2228[label="",style="dashed", color="magenta", weight=3];
2110 -> 2229[label="",style="dashed", color="magenta", weight=3];
2108[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv179) (vvv40 * Neg Zero)) vvv69) (primPlusInt (Pos vvv178) (vvv40 * Neg Zero)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];2108 -> 2230[label="",style="solid", color="black", weight=3];
2111[label="vvv70",fontsize=16,color="green",shape="box"];2112 -> 2049[label="",style="dashed", color="red", weight=0];
2112[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2112 -> 2231[label="",style="dashed", color="magenta", weight=3];
2113 -> 2049[label="",style="dashed", color="red", weight=0];
2113[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2113 -> 2232[label="",style="dashed", color="magenta", weight=3];
2114 -> 2233[label="",style="dashed", color="red", weight=0];
2114[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) vvv114) (primPlusInt (Neg (primMulNat (Succ Zero) (Succ vvv29))) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="magenta"];2114 -> 2241[label="",style="dashed", color="magenta", weight=3];
2114 -> 2242[label="",style="dashed", color="magenta", weight=3];
2115[label="vvv300",fontsize=16,color="green",shape="box"];2116[label="vvv31",fontsize=16,color="green",shape="box"];2117[label="vvv300",fontsize=16,color="green",shape="box"];2118[label="vvv31",fontsize=16,color="green",shape="box"];2119 -> 2250[label="",style="dashed", color="red", weight=0];
2119[label="primQuotInt (Neg (primPlusNat vvv112 vvv155)) (reduce2D (Neg (primPlusNat vvv112 vvv155)) (Pos vvv72))",fontsize=16,color="magenta"];2119 -> 2251[label="",style="dashed", color="magenta", weight=3];
2119 -> 2252[label="",style="dashed", color="magenta", weight=3];
2120[label="vvv300",fontsize=16,color="green",shape="box"];2121[label="vvv31",fontsize=16,color="green",shape="box"];2122[label="vvv300",fontsize=16,color="green",shape="box"];2123[label="vvv31",fontsize=16,color="green",shape="box"];2124 -> 2079[label="",style="dashed", color="red", weight=0];
2124[label="primQuotInt (primMinusNat vvv157 vvv112) (reduce2D (primMinusNat vvv157 vvv112) (Pos vvv72))",fontsize=16,color="magenta"];2124 -> 2253[label="",style="dashed", color="magenta", weight=3];
2124 -> 2254[label="",style="dashed", color="magenta", weight=3];
2124 -> 2255[label="",style="dashed", color="magenta", weight=3];
2234[label="vvv40",fontsize=16,color="green",shape="box"];2235 -> 2049[label="",style="dashed", color="red", weight=0];
2235[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2235 -> 2256[label="",style="dashed", color="magenta", weight=3];
2236[label="vvv86",fontsize=16,color="green",shape="box"];2237[label="Zero",fontsize=16,color="green",shape="box"];2238[label="vvv500",fontsize=16,color="green",shape="box"];2239[label="Zero",fontsize=16,color="green",shape="box"];2240 -> 2049[label="",style="dashed", color="red", weight=0];
2240[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2240 -> 2257[label="",style="dashed", color="magenta", weight=3];
2233[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (vvv30 * Neg (Succ vvv31))) vvv114) (primPlusInt (Neg vvv196) (vvv30 * Neg (Succ vvv31))) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2233 -> 2258[label="",style="solid", color="black", weight=3];
2128[label="vvv400",fontsize=16,color="green",shape="box"];2129[label="vvv400",fontsize=16,color="green",shape="box"];2131 -> 963[label="",style="dashed", color="red", weight=0];
2131[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2131 -> 2259[label="",style="dashed", color="magenta", weight=3];
2132 -> 963[label="",style="dashed", color="red", weight=0];
2132[label="primMulNat (Succ Zero) (Succ vvv4100)",fontsize=16,color="magenta"];2132 -> 2260[label="",style="dashed", color="magenta", weight=3];
2130[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv183) (vvv40 * Neg Zero)) vvv89) (primPlusInt (Neg vvv182) (vvv40 * Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];2130 -> 2261[label="",style="solid", color="black", weight=3];
2133 -> 2049[label="",style="dashed", color="red", weight=0];
2133[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2133 -> 2262[label="",style="dashed", color="magenta", weight=3];
2134 -> 2049[label="",style="dashed", color="red", weight=0];
2134[label="primMulNat (Succ Zero) Zero",fontsize=16,color="magenta"];2134 -> 2263[label="",style="dashed", color="magenta", weight=3];
2135[label="vvv90",fontsize=16,color="green",shape="box"];2144 -> 963[label="",style="dashed", color="red", weight=0];
2144[label="primMulNat (Succ Zero) (Succ vvv8)",fontsize=16,color="magenta"];2144 -> 2264[label="",style="dashed", color="magenta", weight=3];
2144 -> 2265[label="",style="dashed", color="magenta", weight=3];
2145 -> 963[label="",style="dashed", color="red", weight=0];
2145[label="primMulNat (Succ Zero) (Succ vvv8)",fontsize=16,color="magenta"];2145 -> 2266[label="",style="dashed", color="magenta", weight=3];
2145 -> 2267[label="",style="dashed", color="magenta", weight=3];
2154 -> 995[label="",style="dashed", color="red", weight=0];
2154[label="primPlusNat vvv161 vvv170",fontsize=16,color="magenta"];2154 -> 2268[label="",style="dashed", color="magenta", weight=3];
2154 -> 2269[label="",style="dashed", color="magenta", weight=3];
2155 -> 995[label="",style="dashed", color="red", weight=0];
2155[label="primPlusNat vvv161 vvv170",fontsize=16,color="magenta"];2155 -> 2270[label="",style="dashed", color="magenta", weight=3];
2155 -> 2271[label="",style="dashed", color="magenta", weight=3];
2153[label="primQuotInt (Pos vvv186) (reduce2D (Pos vvv187) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2153 -> 2272[label="",style="solid", color="black", weight=3];
2156[label="primQuotInt (primMinusNat (Succ vvv1610) vvv172) (reduce2D (primMinusNat (Succ vvv1610) vvv172) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29460[label="vvv172/Succ vvv1720",fontsize=10,color="white",style="solid",shape="box"];2156 -> 29460[label="",style="solid", color="burlywood", weight=9];
29460 -> 2273[label="",style="solid", color="burlywood", weight=3];
29461[label="vvv172/Zero",fontsize=10,color="white",style="solid",shape="box"];2156 -> 29461[label="",style="solid", color="burlywood", weight=9];
29461 -> 2274[label="",style="solid", color="burlywood", weight=3];
2157[label="primQuotInt (primMinusNat Zero vvv172) (reduce2D (primMinusNat Zero vvv172) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29462[label="vvv172/Succ vvv1720",fontsize=10,color="white",style="solid",shape="box"];2157 -> 29462[label="",style="solid", color="burlywood", weight=9];
29462 -> 2275[label="",style="solid", color="burlywood", weight=3];
29463[label="vvv172/Zero",fontsize=10,color="white",style="solid",shape="box"];2157 -> 29463[label="",style="solid", color="burlywood", weight=9];
29463 -> 2276[label="",style="solid", color="burlywood", weight=3];
2158[label="Succ Zero",fontsize=16,color="green",shape="box"];2159[label="Succ Zero",fontsize=16,color="green",shape="box"];2160[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (primMulInt vvv9 (Pos (Succ vvv10)))) vvv163) (primPlusInt (Pos vvv184) (primMulInt vvv9 (Pos (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29464[label="vvv9/Pos vvv90",fontsize=10,color="white",style="solid",shape="box"];2160 -> 29464[label="",style="solid", color="burlywood", weight=9];
29464 -> 2277[label="",style="solid", color="burlywood", weight=3];
29465[label="vvv9/Neg vvv90",fontsize=10,color="white",style="solid",shape="box"];2160 -> 29465[label="",style="solid", color="burlywood", weight=9];
29465 -> 2278[label="",style="solid", color="burlywood", weight=3];
2161[label="Zero",fontsize=16,color="green",shape="box"];2162[label="Zero",fontsize=16,color="green",shape="box"];2163[label="Succ Zero",fontsize=16,color="green",shape="box"];2164[label="vvv4100",fontsize=16,color="green",shape="box"];2165[label="Succ Zero",fontsize=16,color="green",shape="box"];2166[label="vvv4100",fontsize=16,color="green",shape="box"];2167[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv167) (primMulInt vvv40 (Pos Zero))) vvv37) (primPlusInt (Pos vvv166) (primMulInt vvv40 (Pos Zero))) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29466[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];2167 -> 29466[label="",style="solid", color="burlywood", weight=9];
29466 -> 2279[label="",style="solid", color="burlywood", weight=3];
29467[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];2167 -> 29467[label="",style="solid", color="burlywood", weight=9];
29467 -> 2280[label="",style="solid", color="burlywood", weight=3];
2168[label="Succ Zero",fontsize=16,color="green",shape="box"];2169[label="Succ Zero",fontsize=16,color="green",shape="box"];2178 -> 963[label="",style="dashed", color="red", weight=0];
2178[label="primMulNat (Succ Zero) (Succ vvv19)",fontsize=16,color="magenta"];2178 -> 2281[label="",style="dashed", color="magenta", weight=3];
2178 -> 2282[label="",style="dashed", color="magenta", weight=3];
2179 -> 963[label="",style="dashed", color="red", weight=0];
2179[label="primMulNat (Succ Zero) (Succ vvv19)",fontsize=16,color="magenta"];2179 -> 2283[label="",style="dashed", color="magenta", weight=3];
2179 -> 2284[label="",style="dashed", color="magenta", weight=3];
2187[label="primQuotInt (primMinusNat (Succ vvv1470) vvv106) (reduce2D (primMinusNat (Succ vvv1470) vvv106) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29470[label="vvv106/Succ vvv1060",fontsize=10,color="white",style="solid",shape="box"];2187 -> 29470[label="",style="solid", color="burlywood", weight=9];
29470 -> 2285[label="",style="solid", color="burlywood", weight=3];
29471[label="vvv106/Zero",fontsize=10,color="white",style="solid",shape="box"];2187 -> 29471[label="",style="solid", color="burlywood", weight=9];
29471 -> 2286[label="",style="solid", color="burlywood", weight=3];
2188[label="primQuotInt (primMinusNat Zero vvv106) (reduce2D (primMinusNat Zero vvv106) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29472[label="vvv106/Succ vvv1060",fontsize=10,color="white",style="solid",shape="box"];2188 -> 29472[label="",style="solid", color="burlywood", weight=9];
29472 -> 2287[label="",style="solid", color="burlywood", weight=3];
29473[label="vvv106/Zero",fontsize=10,color="white",style="solid",shape="box"];2188 -> 29473[label="",style="solid", color="burlywood", weight=9];
29473 -> 2288[label="",style="solid", color="burlywood", weight=3];
2190 -> 995[label="",style="dashed", color="red", weight=0];
2190[label="primPlusNat vvv106 vvv149",fontsize=16,color="magenta"];2190 -> 2289[label="",style="dashed", color="magenta", weight=3];
2190 -> 2290[label="",style="dashed", color="magenta", weight=3];
2191 -> 995[label="",style="dashed", color="red", weight=0];
2191[label="primPlusNat vvv106 vvv149",fontsize=16,color="magenta"];2191 -> 2291[label="",style="dashed", color="magenta", weight=3];
2191 -> 2292[label="",style="dashed", color="magenta", weight=3];
2189[label="primQuotInt (Neg vvv190) (reduce2D (Neg vvv191) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2189 -> 2293[label="",style="solid", color="black", weight=3];
2192[label="Succ Zero",fontsize=16,color="green",shape="box"];2193[label="Succ Zero",fontsize=16,color="green",shape="box"];2194[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (primMulInt vvv20 (Pos (Succ vvv21)))) vvv108) (primPlusInt (Neg vvv188) (primMulInt vvv20 (Pos (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29476[label="vvv20/Pos vvv200",fontsize=10,color="white",style="solid",shape="box"];2194 -> 29476[label="",style="solid", color="burlywood", weight=9];
29476 -> 2294[label="",style="solid", color="burlywood", weight=3];
29477[label="vvv20/Neg vvv200",fontsize=10,color="white",style="solid",shape="box"];2194 -> 29477[label="",style="solid", color="burlywood", weight=9];
29477 -> 2295[label="",style="solid", color="burlywood", weight=3];
2195[label="Succ Zero",fontsize=16,color="green",shape="box"];2196[label="Succ Zero",fontsize=16,color="green",shape="box"];2197[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv175) (primMulInt vvv40 (Pos Zero))) vvv49) (primPlusInt (Neg vvv174) (primMulInt vvv40 (Pos Zero))) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29478[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];2197 -> 29478[label="",style="solid", color="burlywood", weight=9];
29478 -> 2296[label="",style="solid", color="burlywood", weight=3];
29479[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];2197 -> 29479[label="",style="solid", color="burlywood", weight=9];
29479 -> 2297[label="",style="solid", color="burlywood", weight=3];
2198[label="Succ Zero",fontsize=16,color="green",shape="box"];2199[label="Succ Zero",fontsize=16,color="green",shape="box"];2208 -> 963[label="",style="dashed", color="red", weight=0];
2208[label="primMulNat (Succ Zero) (Succ vvv24)",fontsize=16,color="magenta"];2208 -> 2298[label="",style="dashed", color="magenta", weight=3];
2208 -> 2299[label="",style="dashed", color="magenta", weight=3];
2209 -> 963[label="",style="dashed", color="red", weight=0];
2209[label="primMulNat (Succ Zero) (Succ vvv24)",fontsize=16,color="magenta"];2209 -> 2300[label="",style="dashed", color="magenta", weight=3];
2209 -> 2301[label="",style="dashed", color="magenta", weight=3];
2217[label="vvv52",fontsize=16,color="green",shape="box"];2218[label="vvv151",fontsize=16,color="green",shape="box"];2219[label="vvv109",fontsize=16,color="green",shape="box"];2221 -> 995[label="",style="dashed", color="red", weight=0];
2221[label="primPlusNat vvv109 vvv153",fontsize=16,color="magenta"];2221 -> 2302[label="",style="dashed", color="magenta", weight=3];
2221 -> 2303[label="",style="dashed", color="magenta", weight=3];
2222 -> 995[label="",style="dashed", color="red", weight=0];
2222[label="primPlusNat vvv109 vvv153",fontsize=16,color="magenta"];2222 -> 2304[label="",style="dashed", color="magenta", weight=3];
2222 -> 2305[label="",style="dashed", color="magenta", weight=3];
2220[label="primQuotInt (Pos vvv194) (reduce2D (Pos vvv195) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2220 -> 2306[label="",style="solid", color="black", weight=3];
2223[label="Succ Zero",fontsize=16,color="green",shape="box"];2224[label="Succ Zero",fontsize=16,color="green",shape="box"];2225[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (primMulInt vvv25 (Neg (Succ vvv26)))) vvv111) (primPlusInt (Pos vvv192) (primMulInt vvv25 (Neg (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29484[label="vvv25/Pos vvv250",fontsize=10,color="white",style="solid",shape="box"];2225 -> 29484[label="",style="solid", color="burlywood", weight=9];
29484 -> 2307[label="",style="solid", color="burlywood", weight=3];
29485[label="vvv25/Neg vvv250",fontsize=10,color="white",style="solid",shape="box"];2225 -> 29485[label="",style="solid", color="burlywood", weight=9];
29485 -> 2308[label="",style="solid", color="burlywood", weight=3];
2226[label="Succ Zero",fontsize=16,color="green",shape="box"];2227[label="vvv4100",fontsize=16,color="green",shape="box"];2228[label="Succ Zero",fontsize=16,color="green",shape="box"];2229[label="vvv4100",fontsize=16,color="green",shape="box"];2230[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv179) (primMulInt vvv40 (Neg Zero))) vvv69) (primPlusInt (Pos vvv178) (primMulInt vvv40 (Neg Zero))) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29486[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];2230 -> 29486[label="",style="solid", color="burlywood", weight=9];
29486 -> 2309[label="",style="solid", color="burlywood", weight=3];
29487[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];2230 -> 29487[label="",style="solid", color="burlywood", weight=9];
29487 -> 2310[label="",style="solid", color="burlywood", weight=3];
2231[label="Succ Zero",fontsize=16,color="green",shape="box"];2232[label="Succ Zero",fontsize=16,color="green",shape="box"];2241 -> 963[label="",style="dashed", color="red", weight=0];
2241[label="primMulNat (Succ Zero) (Succ vvv29)",fontsize=16,color="magenta"];2241 -> 2311[label="",style="dashed", color="magenta", weight=3];
2241 -> 2312[label="",style="dashed", color="magenta", weight=3];
2242 -> 963[label="",style="dashed", color="red", weight=0];
2242[label="primMulNat (Succ Zero) (Succ vvv29)",fontsize=16,color="magenta"];2242 -> 2313[label="",style="dashed", color="magenta", weight=3];
2242 -> 2314[label="",style="dashed", color="magenta", weight=3];
2251 -> 995[label="",style="dashed", color="red", weight=0];
2251[label="primPlusNat vvv112 vvv155",fontsize=16,color="magenta"];2251 -> 2315[label="",style="dashed", color="magenta", weight=3];
2251 -> 2316[label="",style="dashed", color="magenta", weight=3];
2252 -> 995[label="",style="dashed", color="red", weight=0];
2252[label="primPlusNat vvv112 vvv155",fontsize=16,color="magenta"];2252 -> 2317[label="",style="dashed", color="magenta", weight=3];
2252 -> 2318[label="",style="dashed", color="magenta", weight=3];
2250[label="primQuotInt (Neg vvv198) (reduce2D (Neg vvv199) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2250 -> 2319[label="",style="solid", color="black", weight=3];
2253[label="vvv112",fontsize=16,color="green",shape="box"];2254[label="vvv72",fontsize=16,color="green",shape="box"];2255[label="vvv157",fontsize=16,color="green",shape="box"];2256[label="Succ Zero",fontsize=16,color="green",shape="box"];2257[label="Succ Zero",fontsize=16,color="green",shape="box"];2258[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (primMulInt vvv30 (Neg (Succ vvv31)))) vvv114) (primPlusInt (Neg vvv196) (primMulInt vvv30 (Neg (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29492[label="vvv30/Pos vvv300",fontsize=10,color="white",style="solid",shape="box"];2258 -> 29492[label="",style="solid", color="burlywood", weight=9];
29492 -> 2320[label="",style="solid", color="burlywood", weight=3];
29493[label="vvv30/Neg vvv300",fontsize=10,color="white",style="solid",shape="box"];2258 -> 29493[label="",style="solid", color="burlywood", weight=9];
29493 -> 2321[label="",style="solid", color="burlywood", weight=3];
2259[label="Succ Zero",fontsize=16,color="green",shape="box"];2260[label="Succ Zero",fontsize=16,color="green",shape="box"];2261[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv183) (primMulInt vvv40 (Neg Zero))) vvv89) (primPlusInt (Neg vvv182) (primMulInt vvv40 (Neg Zero))) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29494[label="vvv40/Pos vvv400",fontsize=10,color="white",style="solid",shape="box"];2261 -> 29494[label="",style="solid", color="burlywood", weight=9];
29494 -> 2322[label="",style="solid", color="burlywood", weight=3];
29495[label="vvv40/Neg vvv400",fontsize=10,color="white",style="solid",shape="box"];2261 -> 29495[label="",style="solid", color="burlywood", weight=9];
29495 -> 2323[label="",style="solid", color="burlywood", weight=3];
2262[label="Succ Zero",fontsize=16,color="green",shape="box"];2263[label="Succ Zero",fontsize=16,color="green",shape="box"];2264[label="Succ Zero",fontsize=16,color="green",shape="box"];2265[label="vvv8",fontsize=16,color="green",shape="box"];2266[label="Succ Zero",fontsize=16,color="green",shape="box"];2267[label="vvv8",fontsize=16,color="green",shape="box"];2268[label="vvv161",fontsize=16,color="green",shape="box"];2269[label="vvv170",fontsize=16,color="green",shape="box"];2270[label="vvv161",fontsize=16,color="green",shape="box"];2271[label="vvv170",fontsize=16,color="green",shape="box"];2272[label="primQuotInt (Pos vvv186) (gcd (Pos vvv187) (Pos vvv116))",fontsize=16,color="black",shape="box"];2272 -> 2324[label="",style="solid", color="black", weight=3];
2273[label="primQuotInt (primMinusNat (Succ vvv1610) (Succ vvv1720)) (reduce2D (primMinusNat (Succ vvv1610) (Succ vvv1720)) (Pos vvv116))",fontsize=16,color="black",shape="box"];2273 -> 2325[label="",style="solid", color="black", weight=3];
2274[label="primQuotInt (primMinusNat (Succ vvv1610) Zero) (reduce2D (primMinusNat (Succ vvv1610) Zero) (Pos vvv116))",fontsize=16,color="black",shape="box"];2274 -> 2326[label="",style="solid", color="black", weight=3];
2275[label="primQuotInt (primMinusNat Zero (Succ vvv1720)) (reduce2D (primMinusNat Zero (Succ vvv1720)) (Pos vvv116))",fontsize=16,color="black",shape="box"];2275 -> 2327[label="",style="solid", color="black", weight=3];
2276[label="primQuotInt (primMinusNat Zero Zero) (reduce2D (primMinusNat Zero Zero) (Pos vvv116))",fontsize=16,color="black",shape="box"];2276 -> 2328[label="",style="solid", color="black", weight=3];
2277[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (primMulInt (Pos vvv90) (Pos (Succ vvv10)))) vvv163) (primPlusInt (Pos vvv184) (primMulInt (Pos vvv90) (Pos (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="black",shape="box"];2277 -> 2329[label="",style="solid", color="black", weight=3];
2278[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (primMulInt (Neg vvv90) (Pos (Succ vvv10)))) vvv163) (primPlusInt (Pos vvv184) (primMulInt (Neg vvv90) (Pos (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="black",shape="box"];2278 -> 2330[label="",style="solid", color="black", weight=3];
2279[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv167) (primMulInt (Pos vvv400) (Pos Zero))) vvv37) (primPlusInt (Pos vvv166) (primMulInt (Pos vvv400) (Pos Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];2279 -> 2331[label="",style="solid", color="black", weight=3];
2280[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv167) (primMulInt (Neg vvv400) (Pos Zero))) vvv37) (primPlusInt (Pos vvv166) (primMulInt (Neg vvv400) (Pos Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];2280 -> 2332[label="",style="solid", color="black", weight=3];
2281[label="Succ Zero",fontsize=16,color="green",shape="box"];2282[label="vvv19",fontsize=16,color="green",shape="box"];2283[label="Succ Zero",fontsize=16,color="green",shape="box"];2284[label="vvv19",fontsize=16,color="green",shape="box"];2285[label="primQuotInt (primMinusNat (Succ vvv1470) (Succ vvv1060)) (reduce2D (primMinusNat (Succ vvv1470) (Succ vvv1060)) (Neg vvv47))",fontsize=16,color="black",shape="box"];2285 -> 2333[label="",style="solid", color="black", weight=3];
2286[label="primQuotInt (primMinusNat (Succ vvv1470) Zero) (reduce2D (primMinusNat (Succ vvv1470) Zero) (Neg vvv47))",fontsize=16,color="black",shape="box"];2286 -> 2334[label="",style="solid", color="black", weight=3];
2287[label="primQuotInt (primMinusNat Zero (Succ vvv1060)) (reduce2D (primMinusNat Zero (Succ vvv1060)) (Neg vvv47))",fontsize=16,color="black",shape="box"];2287 -> 2335[label="",style="solid", color="black", weight=3];
2288[label="primQuotInt (primMinusNat Zero Zero) (reduce2D (primMinusNat Zero Zero) (Neg vvv47))",fontsize=16,color="black",shape="box"];2288 -> 2336[label="",style="solid", color="black", weight=3];
2289[label="vvv106",fontsize=16,color="green",shape="box"];2290[label="vvv149",fontsize=16,color="green",shape="box"];2291[label="vvv106",fontsize=16,color="green",shape="box"];2292[label="vvv149",fontsize=16,color="green",shape="box"];2293[label="primQuotInt (Neg vvv190) (gcd (Neg vvv191) (Neg vvv47))",fontsize=16,color="black",shape="box"];2293 -> 2337[label="",style="solid", color="black", weight=3];
2294[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (primMulInt (Pos vvv200) (Pos (Succ vvv21)))) vvv108) (primPlusInt (Neg vvv188) (primMulInt (Pos vvv200) (Pos (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="black",shape="box"];2294 -> 2338[label="",style="solid", color="black", weight=3];
2295[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (primMulInt (Neg vvv200) (Pos (Succ vvv21)))) vvv108) (primPlusInt (Neg vvv188) (primMulInt (Neg vvv200) (Pos (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="black",shape="box"];2295 -> 2339[label="",style="solid", color="black", weight=3];
2296[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv175) (primMulInt (Pos vvv400) (Pos Zero))) vvv49) (primPlusInt (Neg vvv174) (primMulInt (Pos vvv400) (Pos Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];2296 -> 2340[label="",style="solid", color="black", weight=3];
2297[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv175) (primMulInt (Neg vvv400) (Pos Zero))) vvv49) (primPlusInt (Neg vvv174) (primMulInt (Neg vvv400) (Pos Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];2297 -> 2341[label="",style="solid", color="black", weight=3];
2298[label="Succ Zero",fontsize=16,color="green",shape="box"];2299[label="vvv24",fontsize=16,color="green",shape="box"];2300[label="Succ Zero",fontsize=16,color="green",shape="box"];2301[label="vvv24",fontsize=16,color="green",shape="box"];2302[label="vvv109",fontsize=16,color="green",shape="box"];2303[label="vvv153",fontsize=16,color="green",shape="box"];2304[label="vvv109",fontsize=16,color="green",shape="box"];2305[label="vvv153",fontsize=16,color="green",shape="box"];2306[label="primQuotInt (Pos vvv194) (gcd (Pos vvv195) (Neg vvv52))",fontsize=16,color="black",shape="box"];2306 -> 2342[label="",style="solid", color="black", weight=3];
2307[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (primMulInt (Pos vvv250) (Neg (Succ vvv26)))) vvv111) (primPlusInt (Pos vvv192) (primMulInt (Pos vvv250) (Neg (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="black",shape="box"];2307 -> 2343[label="",style="solid", color="black", weight=3];
2308[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (primMulInt (Neg vvv250) (Neg (Succ vvv26)))) vvv111) (primPlusInt (Pos vvv192) (primMulInt (Neg vvv250) (Neg (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="black",shape="box"];2308 -> 2344[label="",style="solid", color="black", weight=3];
2309[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv179) (primMulInt (Pos vvv400) (Neg Zero))) vvv69) (primPlusInt (Pos vvv178) (primMulInt (Pos vvv400) (Neg Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];2309 -> 2345[label="",style="solid", color="black", weight=3];
2310[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv179) (primMulInt (Neg vvv400) (Neg Zero))) vvv69) (primPlusInt (Pos vvv178) (primMulInt (Neg vvv400) (Neg Zero))) (Neg Zero))",fontsize=16,color="black",shape="box"];2310 -> 2346[label="",style="solid", color="black", weight=3];
2311[label="Succ Zero",fontsize=16,color="green",shape="box"];2312[label="vvv29",fontsize=16,color="green",shape="box"];2313[label="Succ Zero",fontsize=16,color="green",shape="box"];2314[label="vvv29",fontsize=16,color="green",shape="box"];2315[label="vvv112",fontsize=16,color="green",shape="box"];2316[label="vvv155",fontsize=16,color="green",shape="box"];2317[label="vvv112",fontsize=16,color="green",shape="box"];2318[label="vvv155",fontsize=16,color="green",shape="box"];2319[label="primQuotInt (Neg vvv198) (gcd (Neg vvv199) (Pos vvv72))",fontsize=16,color="black",shape="box"];2319 -> 2347[label="",style="solid", color="black", weight=3];
2320[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (primMulInt (Pos vvv300) (Neg (Succ vvv31)))) vvv114) (primPlusInt (Neg vvv196) (primMulInt (Pos vvv300) (Neg (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="black",shape="box"];2320 -> 2348[label="",style="solid", color="black", weight=3];
2321[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (primMulInt (Neg vvv300) (Neg (Succ vvv31)))) vvv114) (primPlusInt (Neg vvv196) (primMulInt (Neg vvv300) (Neg (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="black",shape="box"];2321 -> 2349[label="",style="solid", color="black", weight=3];
2322[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv183) (primMulInt (Pos vvv400) (Neg Zero))) vvv89) (primPlusInt (Neg vvv182) (primMulInt (Pos vvv400) (Neg Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];2322 -> 2350[label="",style="solid", color="black", weight=3];
2323[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv183) (primMulInt (Neg vvv400) (Neg Zero))) vvv89) (primPlusInt (Neg vvv182) (primMulInt (Neg vvv400) (Neg Zero))) (Pos Zero))",fontsize=16,color="black",shape="box"];2323 -> 2351[label="",style="solid", color="black", weight=3];
2324[label="primQuotInt (Pos vvv186) (gcd3 (Pos vvv187) (Pos vvv116))",fontsize=16,color="black",shape="box"];2324 -> 2352[label="",style="solid", color="black", weight=3];
2325 -> 2079[label="",style="dashed", color="red", weight=0];
2325[label="primQuotInt (primMinusNat vvv1610 vvv1720) (reduce2D (primMinusNat vvv1610 vvv1720) (Pos vvv116))",fontsize=16,color="magenta"];2325 -> 2353[label="",style="dashed", color="magenta", weight=3];
2325 -> 2354[label="",style="dashed", color="magenta", weight=3];
2326 -> 2153[label="",style="dashed", color="red", weight=0];
2326[label="primQuotInt (Pos (Succ vvv1610)) (reduce2D (Pos (Succ vvv1610)) (Pos vvv116))",fontsize=16,color="magenta"];2326 -> 2355[label="",style="dashed", color="magenta", weight=3];
2326 -> 2356[label="",style="dashed", color="magenta", weight=3];
2327 -> 2250[label="",style="dashed", color="red", weight=0];
2327[label="primQuotInt (Neg (Succ vvv1720)) (reduce2D (Neg (Succ vvv1720)) (Pos vvv116))",fontsize=16,color="magenta"];2327 -> 2357[label="",style="dashed", color="magenta", weight=3];
2327 -> 2358[label="",style="dashed", color="magenta", weight=3];
2327 -> 2359[label="",style="dashed", color="magenta", weight=3];
2328 -> 2153[label="",style="dashed", color="red", weight=0];
2328[label="primQuotInt (Pos Zero) (reduce2D (Pos Zero) (Pos vvv116))",fontsize=16,color="magenta"];2328 -> 2360[label="",style="dashed", color="magenta", weight=3];
2328 -> 2361[label="",style="dashed", color="magenta", weight=3];
2329 -> 2362[label="",style="dashed", color="red", weight=0];
2329[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (Pos (primMulNat vvv90 (Succ vvv10)))) vvv163) (primPlusInt (Pos vvv184) (Pos (primMulNat vvv90 (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="magenta"];2329 -> 2363[label="",style="dashed", color="magenta", weight=3];
2329 -> 2364[label="",style="dashed", color="magenta", weight=3];
2330 -> 2372[label="",style="dashed", color="red", weight=0];
2330[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (Neg (primMulNat vvv90 (Succ vvv10)))) vvv163) (primPlusInt (Pos vvv184) (Neg (primMulNat vvv90 (Succ vvv10)))) (Pos vvv116))",fontsize=16,color="magenta"];2330 -> 2373[label="",style="dashed", color="magenta", weight=3];
2330 -> 2374[label="",style="dashed", color="magenta", weight=3];
2331 -> 2362[label="",style="dashed", color="red", weight=0];
2331[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv167) (Pos (primMulNat vvv400 Zero))) vvv37) (primPlusInt (Pos vvv166) (Pos (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];2331 -> 2365[label="",style="dashed", color="magenta", weight=3];
2331 -> 2366[label="",style="dashed", color="magenta", weight=3];
2331 -> 2367[label="",style="dashed", color="magenta", weight=3];
2331 -> 2368[label="",style="dashed", color="magenta", weight=3];
2331 -> 2369[label="",style="dashed", color="magenta", weight=3];
2331 -> 2370[label="",style="dashed", color="magenta", weight=3];
2331 -> 2371[label="",style="dashed", color="magenta", weight=3];
2332 -> 2372[label="",style="dashed", color="red", weight=0];
2332[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv167) (Neg (primMulNat vvv400 Zero))) vvv37) (primPlusInt (Pos vvv166) (Neg (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];2332 -> 2375[label="",style="dashed", color="magenta", weight=3];
2332 -> 2376[label="",style="dashed", color="magenta", weight=3];
2332 -> 2377[label="",style="dashed", color="magenta", weight=3];
2332 -> 2378[label="",style="dashed", color="magenta", weight=3];
2332 -> 2379[label="",style="dashed", color="magenta", weight=3];
2332 -> 2380[label="",style="dashed", color="magenta", weight=3];
2332 -> 2381[label="",style="dashed", color="magenta", weight=3];
2333 -> 2034[label="",style="dashed", color="red", weight=0];
2333[label="primQuotInt (primMinusNat vvv1470 vvv1060) (reduce2D (primMinusNat vvv1470 vvv1060) (Neg vvv47))",fontsize=16,color="magenta"];2333 -> 2382[label="",style="dashed", color="magenta", weight=3];
2333 -> 2383[label="",style="dashed", color="magenta", weight=3];
2334 -> 2220[label="",style="dashed", color="red", weight=0];
2334[label="primQuotInt (Pos (Succ vvv1470)) (reduce2D (Pos (Succ vvv1470)) (Neg vvv47))",fontsize=16,color="magenta"];2334 -> 2384[label="",style="dashed", color="magenta", weight=3];
2334 -> 2385[label="",style="dashed", color="magenta", weight=3];
2334 -> 2386[label="",style="dashed", color="magenta", weight=3];
2335 -> 2189[label="",style="dashed", color="red", weight=0];
2335[label="primQuotInt (Neg (Succ vvv1060)) (reduce2D (Neg (Succ vvv1060)) (Neg vvv47))",fontsize=16,color="magenta"];2335 -> 2387[label="",style="dashed", color="magenta", weight=3];
2335 -> 2388[label="",style="dashed", color="magenta", weight=3];
2336 -> 2220[label="",style="dashed", color="red", weight=0];
2336[label="primQuotInt (Pos Zero) (reduce2D (Pos Zero) (Neg vvv47))",fontsize=16,color="magenta"];2336 -> 2389[label="",style="dashed", color="magenta", weight=3];
2336 -> 2390[label="",style="dashed", color="magenta", weight=3];
2336 -> 2391[label="",style="dashed", color="magenta", weight=3];
2337[label="primQuotInt (Neg vvv190) (gcd3 (Neg vvv191) (Neg vvv47))",fontsize=16,color="black",shape="box"];2337 -> 2392[label="",style="solid", color="black", weight=3];
2338 -> 2393[label="",style="dashed", color="red", weight=0];
2338[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (Pos (primMulNat vvv200 (Succ vvv21)))) vvv108) (primPlusInt (Neg vvv188) (Pos (primMulNat vvv200 (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="magenta"];2338 -> 2394[label="",style="dashed", color="magenta", weight=3];
2338 -> 2395[label="",style="dashed", color="magenta", weight=3];
2339 -> 2403[label="",style="dashed", color="red", weight=0];
2339[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (Neg (primMulNat vvv200 (Succ vvv21)))) vvv108) (primPlusInt (Neg vvv188) (Neg (primMulNat vvv200 (Succ vvv21)))) (Neg vvv47))",fontsize=16,color="magenta"];2339 -> 2404[label="",style="dashed", color="magenta", weight=3];
2339 -> 2405[label="",style="dashed", color="magenta", weight=3];
2340 -> 2393[label="",style="dashed", color="red", weight=0];
2340[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv175) (Pos (primMulNat vvv400 Zero))) vvv49) (primPlusInt (Neg vvv174) (Pos (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];2340 -> 2396[label="",style="dashed", color="magenta", weight=3];
2340 -> 2397[label="",style="dashed", color="magenta", weight=3];
2340 -> 2398[label="",style="dashed", color="magenta", weight=3];
2340 -> 2399[label="",style="dashed", color="magenta", weight=3];
2340 -> 2400[label="",style="dashed", color="magenta", weight=3];
2340 -> 2401[label="",style="dashed", color="magenta", weight=3];
2340 -> 2402[label="",style="dashed", color="magenta", weight=3];
2341 -> 2403[label="",style="dashed", color="red", weight=0];
2341[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv175) (Neg (primMulNat vvv400 Zero))) vvv49) (primPlusInt (Neg vvv174) (Neg (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];2341 -> 2406[label="",style="dashed", color="magenta", weight=3];
2341 -> 2407[label="",style="dashed", color="magenta", weight=3];
2341 -> 2408[label="",style="dashed", color="magenta", weight=3];
2341 -> 2409[label="",style="dashed", color="magenta", weight=3];
2341 -> 2410[label="",style="dashed", color="magenta", weight=3];
2341 -> 2411[label="",style="dashed", color="magenta", weight=3];
2341 -> 2412[label="",style="dashed", color="magenta", weight=3];
2342[label="primQuotInt (Pos vvv194) (gcd3 (Pos vvv195) (Neg vvv52))",fontsize=16,color="black",shape="box"];2342 -> 2413[label="",style="solid", color="black", weight=3];
2343 -> 2414[label="",style="dashed", color="red", weight=0];
2343[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (Neg (primMulNat vvv250 (Succ vvv26)))) vvv111) (primPlusInt (Pos vvv192) (Neg (primMulNat vvv250 (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="magenta"];2343 -> 2415[label="",style="dashed", color="magenta", weight=3];
2343 -> 2416[label="",style="dashed", color="magenta", weight=3];
2344 -> 2424[label="",style="dashed", color="red", weight=0];
2344[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (Pos (primMulNat vvv250 (Succ vvv26)))) vvv111) (primPlusInt (Pos vvv192) (Pos (primMulNat vvv250 (Succ vvv26)))) (Neg vvv52))",fontsize=16,color="magenta"];2344 -> 2425[label="",style="dashed", color="magenta", weight=3];
2344 -> 2426[label="",style="dashed", color="magenta", weight=3];
2345 -> 2414[label="",style="dashed", color="red", weight=0];
2345[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv179) (Neg (primMulNat vvv400 Zero))) vvv69) (primPlusInt (Pos vvv178) (Neg (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];2345 -> 2417[label="",style="dashed", color="magenta", weight=3];
2345 -> 2418[label="",style="dashed", color="magenta", weight=3];
2345 -> 2419[label="",style="dashed", color="magenta", weight=3];
2345 -> 2420[label="",style="dashed", color="magenta", weight=3];
2345 -> 2421[label="",style="dashed", color="magenta", weight=3];
2345 -> 2422[label="",style="dashed", color="magenta", weight=3];
2345 -> 2423[label="",style="dashed", color="magenta", weight=3];
2346 -> 2424[label="",style="dashed", color="red", weight=0];
2346[label="primQuotInt (Neg Zero) (gcd2 (primEqInt (primPlusInt (Pos vvv179) (Pos (primMulNat vvv400 Zero))) vvv69) (primPlusInt (Pos vvv178) (Pos (primMulNat vvv400 Zero))) (Neg Zero))",fontsize=16,color="magenta"];2346 -> 2427[label="",style="dashed", color="magenta", weight=3];
2346 -> 2428[label="",style="dashed", color="magenta", weight=3];
2346 -> 2429[label="",style="dashed", color="magenta", weight=3];
2346 -> 2430[label="",style="dashed", color="magenta", weight=3];
2346 -> 2431[label="",style="dashed", color="magenta", weight=3];
2346 -> 2432[label="",style="dashed", color="magenta", weight=3];
2346 -> 2433[label="",style="dashed", color="magenta", weight=3];
2347[label="primQuotInt (Neg vvv198) (gcd3 (Neg vvv199) (Pos vvv72))",fontsize=16,color="black",shape="box"];2347 -> 2434[label="",style="solid", color="black", weight=3];
2348 -> 2435[label="",style="dashed", color="red", weight=0];
2348[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (Neg (primMulNat vvv300 (Succ vvv31)))) vvv114) (primPlusInt (Neg vvv196) (Neg (primMulNat vvv300 (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="magenta"];2348 -> 2436[label="",style="dashed", color="magenta", weight=3];
2348 -> 2437[label="",style="dashed", color="magenta", weight=3];
2349 -> 2445[label="",style="dashed", color="red", weight=0];
2349[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (Pos (primMulNat vvv300 (Succ vvv31)))) vvv114) (primPlusInt (Neg vvv196) (Pos (primMulNat vvv300 (Succ vvv31)))) (Pos vvv72))",fontsize=16,color="magenta"];2349 -> 2446[label="",style="dashed", color="magenta", weight=3];
2349 -> 2447[label="",style="dashed", color="magenta", weight=3];
2350 -> 2435[label="",style="dashed", color="red", weight=0];
2350[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv183) (Neg (primMulNat vvv400 Zero))) vvv89) (primPlusInt (Neg vvv182) (Neg (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];2350 -> 2438[label="",style="dashed", color="magenta", weight=3];
2350 -> 2439[label="",style="dashed", color="magenta", weight=3];
2350 -> 2440[label="",style="dashed", color="magenta", weight=3];
2350 -> 2441[label="",style="dashed", color="magenta", weight=3];
2350 -> 2442[label="",style="dashed", color="magenta", weight=3];
2350 -> 2443[label="",style="dashed", color="magenta", weight=3];
2350 -> 2444[label="",style="dashed", color="magenta", weight=3];
2351 -> 2445[label="",style="dashed", color="red", weight=0];
2351[label="primQuotInt (Pos Zero) (gcd2 (primEqInt (primPlusInt (Neg vvv183) (Pos (primMulNat vvv400 Zero))) vvv89) (primPlusInt (Neg vvv182) (Pos (primMulNat vvv400 Zero))) (Pos Zero))",fontsize=16,color="magenta"];2351 -> 2448[label="",style="dashed", color="magenta", weight=3];
2351 -> 2449[label="",style="dashed", color="magenta", weight=3];
2351 -> 2450[label="",style="dashed", color="magenta", weight=3];
2351 -> 2451[label="",style="dashed", color="magenta", weight=3];
2351 -> 2452[label="",style="dashed", color="magenta", weight=3];
2351 -> 2453[label="",style="dashed", color="magenta", weight=3];
2351 -> 2454[label="",style="dashed", color="magenta", weight=3];
2352 -> 2455[label="",style="dashed", color="red", weight=0];
2352[label="primQuotInt (Pos vvv186) (gcd2 (Pos vvv187 == fromInt (Pos Zero)) (Pos vvv187) (Pos vvv116))",fontsize=16,color="magenta"];2352 -> 2456[label="",style="dashed", color="magenta", weight=3];
2353[label="vvv1720",fontsize=16,color="green",shape="box"];2354[label="vvv1610",fontsize=16,color="green",shape="box"];2355[label="Succ vvv1610",fontsize=16,color="green",shape="box"];2356[label="Succ vvv1610",fontsize=16,color="green",shape="box"];2357[label="vvv116",fontsize=16,color="green",shape="box"];2358[label="Succ vvv1720",fontsize=16,color="green",shape="box"];2359[label="Succ vvv1720",fontsize=16,color="green",shape="box"];2360[label="Zero",fontsize=16,color="green",shape="box"];2361[label="Zero",fontsize=16,color="green",shape="box"];2363 -> 963[label="",style="dashed", color="red", weight=0];
2363[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2363 -> 2457[label="",style="dashed", color="magenta", weight=3];
2363 -> 2458[label="",style="dashed", color="magenta", weight=3];
2364 -> 963[label="",style="dashed", color="red", weight=0];
2364[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2364 -> 2459[label="",style="dashed", color="magenta", weight=3];
2364 -> 2460[label="",style="dashed", color="magenta", weight=3];
2362[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (Pos vvv201)) vvv163) (primPlusInt (Pos vvv184) (Pos vvv200)) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2362 -> 2461[label="",style="solid", color="black", weight=3];
2373 -> 963[label="",style="dashed", color="red", weight=0];
2373[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2373 -> 2462[label="",style="dashed", color="magenta", weight=3];
2373 -> 2463[label="",style="dashed", color="magenta", weight=3];
2374 -> 963[label="",style="dashed", color="red", weight=0];
2374[label="primMulNat vvv90 (Succ vvv10)",fontsize=16,color="magenta"];2374 -> 2464[label="",style="dashed", color="magenta", weight=3];
2374 -> 2465[label="",style="dashed", color="magenta", weight=3];
2372[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primPlusInt (Pos vvv185) (Neg vvv203)) vvv163) (primPlusInt (Pos vvv184) (Neg vvv202)) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2372 -> 2466[label="",style="solid", color="black", weight=3];
2365[label="Zero",fontsize=16,color="green",shape="box"];2366[label="vvv166",fontsize=16,color="green",shape="box"];2367[label="Zero",fontsize=16,color="green",shape="box"];2368 -> 2049[label="",style="dashed", color="red", weight=0];
2368[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2369[label="vvv37",fontsize=16,color="green",shape="box"];2370 -> 2049[label="",style="dashed", color="red", weight=0];
2370[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2371[label="vvv167",fontsize=16,color="green",shape="box"];2375 -> 2049[label="",style="dashed", color="red", weight=0];
2375[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2375 -> 2467[label="",style="dashed", color="magenta", weight=3];
2376[label="Zero",fontsize=16,color="green",shape="box"];2377[label="vvv166",fontsize=16,color="green",shape="box"];2378[label="Zero",fontsize=16,color="green",shape="box"];2379 -> 2049[label="",style="dashed", color="red", weight=0];
2379[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2379 -> 2468[label="",style="dashed", color="magenta", weight=3];
2380[label="vvv37",fontsize=16,color="green",shape="box"];2381[label="vvv167",fontsize=16,color="green",shape="box"];2382[label="vvv1060",fontsize=16,color="green",shape="box"];2383[label="vvv1470",fontsize=16,color="green",shape="box"];2384[label="Succ vvv1470",fontsize=16,color="green",shape="box"];2385[label="Succ vvv1470",fontsize=16,color="green",shape="box"];2386[label="vvv47",fontsize=16,color="green",shape="box"];2387[label="Succ vvv1060",fontsize=16,color="green",shape="box"];2388[label="Succ vvv1060",fontsize=16,color="green",shape="box"];2389[label="Zero",fontsize=16,color="green",shape="box"];2390[label="Zero",fontsize=16,color="green",shape="box"];2391[label="vvv47",fontsize=16,color="green",shape="box"];2392 -> 2469[label="",style="dashed", color="red", weight=0];
2392[label="primQuotInt (Neg vvv190) (gcd2 (Neg vvv191 == fromInt (Pos Zero)) (Neg vvv191) (Neg vvv47))",fontsize=16,color="magenta"];2392 -> 2470[label="",style="dashed", color="magenta", weight=3];
2394 -> 963[label="",style="dashed", color="red", weight=0];
2394[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];2394 -> 2471[label="",style="dashed", color="magenta", weight=3];
2394 -> 2472[label="",style="dashed", color="magenta", weight=3];
2395 -> 963[label="",style="dashed", color="red", weight=0];
2395[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];2395 -> 2473[label="",style="dashed", color="magenta", weight=3];
2395 -> 2474[label="",style="dashed", color="magenta", weight=3];
2393[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (Pos vvv205)) vvv108) (primPlusInt (Neg vvv188) (Pos vvv204)) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2393 -> 2475[label="",style="solid", color="black", weight=3];
2404 -> 963[label="",style="dashed", color="red", weight=0];
2404[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];2404 -> 2476[label="",style="dashed", color="magenta", weight=3];
2404 -> 2477[label="",style="dashed", color="magenta", weight=3];
2405 -> 963[label="",style="dashed", color="red", weight=0];
2405[label="primMulNat vvv200 (Succ vvv21)",fontsize=16,color="magenta"];2405 -> 2478[label="",style="dashed", color="magenta", weight=3];
2405 -> 2479[label="",style="dashed", color="magenta", weight=3];
2403[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primPlusInt (Neg vvv189) (Neg vvv207)) vvv108) (primPlusInt (Neg vvv188) (Neg vvv206)) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2403 -> 2480[label="",style="solid", color="black", weight=3];
2396[label="Zero",fontsize=16,color="green",shape="box"];2397[label="Zero",fontsize=16,color="green",shape="box"];2398[label="vvv174",fontsize=16,color="green",shape="box"];2399 -> 2049[label="",style="dashed", color="red", weight=0];
2399[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2400[label="vvv49",fontsize=16,color="green",shape="box"];2401 -> 2049[label="",style="dashed", color="red", weight=0];
2401[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2402[label="vvv175",fontsize=16,color="green",shape="box"];2406[label="Zero",fontsize=16,color="green",shape="box"];2407[label="Zero",fontsize=16,color="green",shape="box"];2408[label="vvv174",fontsize=16,color="green",shape="box"];2409 -> 2049[label="",style="dashed", color="red", weight=0];
2409[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2409 -> 2481[label="",style="dashed", color="magenta", weight=3];
2410[label="vvv49",fontsize=16,color="green",shape="box"];2411 -> 2049[label="",style="dashed", color="red", weight=0];
2411[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2411 -> 2482[label="",style="dashed", color="magenta", weight=3];
2412[label="vvv175",fontsize=16,color="green",shape="box"];2413 -> 2483[label="",style="dashed", color="red", weight=0];
2413[label="primQuotInt (Pos vvv194) (gcd2 (Pos vvv195 == fromInt (Pos Zero)) (Pos vvv195) (Neg vvv52))",fontsize=16,color="magenta"];2413 -> 2484[label="",style="dashed", color="magenta", weight=3];
2415 -> 963[label="",style="dashed", color="red", weight=0];
2415[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];2415 -> 2485[label="",style="dashed", color="magenta", weight=3];
2415 -> 2486[label="",style="dashed", color="magenta", weight=3];
2416 -> 963[label="",style="dashed", color="red", weight=0];
2416[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];2416 -> 2487[label="",style="dashed", color="magenta", weight=3];
2416 -> 2488[label="",style="dashed", color="magenta", weight=3];
2414[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (Neg vvv209)) vvv111) (primPlusInt (Pos vvv192) (Neg vvv208)) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2414 -> 2489[label="",style="solid", color="black", weight=3];
2425 -> 963[label="",style="dashed", color="red", weight=0];
2425[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];2425 -> 2490[label="",style="dashed", color="magenta", weight=3];
2425 -> 2491[label="",style="dashed", color="magenta", weight=3];
2426 -> 963[label="",style="dashed", color="red", weight=0];
2426[label="primMulNat vvv250 (Succ vvv26)",fontsize=16,color="magenta"];2426 -> 2492[label="",style="dashed", color="magenta", weight=3];
2426 -> 2493[label="",style="dashed", color="magenta", weight=3];
2424[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primPlusInt (Pos vvv193) (Pos vvv211)) vvv111) (primPlusInt (Pos vvv192) (Pos vvv210)) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2424 -> 2494[label="",style="solid", color="black", weight=3];
2417 -> 2049[label="",style="dashed", color="red", weight=0];
2417[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2418[label="vvv179",fontsize=16,color="green",shape="box"];2419[label="vvv69",fontsize=16,color="green",shape="box"];2420 -> 2049[label="",style="dashed", color="red", weight=0];
2420[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2421[label="Zero",fontsize=16,color="green",shape="box"];2422[label="Zero",fontsize=16,color="green",shape="box"];2423[label="vvv178",fontsize=16,color="green",shape="box"];2427 -> 2049[label="",style="dashed", color="red", weight=0];
2427[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2427 -> 2495[label="",style="dashed", color="magenta", weight=3];
2428 -> 2049[label="",style="dashed", color="red", weight=0];
2428[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2428 -> 2496[label="",style="dashed", color="magenta", weight=3];
2429[label="vvv179",fontsize=16,color="green",shape="box"];2430[label="vvv69",fontsize=16,color="green",shape="box"];2431[label="Zero",fontsize=16,color="green",shape="box"];2432[label="Zero",fontsize=16,color="green",shape="box"];2433[label="vvv178",fontsize=16,color="green",shape="box"];2434 -> 2497[label="",style="dashed", color="red", weight=0];
2434[label="primQuotInt (Neg vvv198) (gcd2 (Neg vvv199 == fromInt (Pos Zero)) (Neg vvv199) (Pos vvv72))",fontsize=16,color="magenta"];2434 -> 2498[label="",style="dashed", color="magenta", weight=3];
2436 -> 963[label="",style="dashed", color="red", weight=0];
2436[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];2436 -> 2499[label="",style="dashed", color="magenta", weight=3];
2436 -> 2500[label="",style="dashed", color="magenta", weight=3];
2437 -> 963[label="",style="dashed", color="red", weight=0];
2437[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];2437 -> 2501[label="",style="dashed", color="magenta", weight=3];
2437 -> 2502[label="",style="dashed", color="magenta", weight=3];
2435[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (Neg vvv213)) vvv114) (primPlusInt (Neg vvv196) (Neg vvv212)) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2435 -> 2503[label="",style="solid", color="black", weight=3];
2446 -> 963[label="",style="dashed", color="red", weight=0];
2446[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];2446 -> 2504[label="",style="dashed", color="magenta", weight=3];
2446 -> 2505[label="",style="dashed", color="magenta", weight=3];
2447 -> 963[label="",style="dashed", color="red", weight=0];
2447[label="primMulNat vvv300 (Succ vvv31)",fontsize=16,color="magenta"];2447 -> 2506[label="",style="dashed", color="magenta", weight=3];
2447 -> 2507[label="",style="dashed", color="magenta", weight=3];
2445[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primPlusInt (Neg vvv197) (Pos vvv215)) vvv114) (primPlusInt (Neg vvv196) (Pos vvv214)) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2445 -> 2508[label="",style="solid", color="black", weight=3];
2438[label="vvv183",fontsize=16,color="green",shape="box"];2439[label="vvv89",fontsize=16,color="green",shape="box"];2440[label="Zero",fontsize=16,color="green",shape="box"];2441 -> 2049[label="",style="dashed", color="red", weight=0];
2441[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2442 -> 2049[label="",style="dashed", color="red", weight=0];
2442[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2443[label="Zero",fontsize=16,color="green",shape="box"];2444[label="vvv182",fontsize=16,color="green",shape="box"];2448[label="vvv183",fontsize=16,color="green",shape="box"];2449[label="vvv89",fontsize=16,color="green",shape="box"];2450[label="Zero",fontsize=16,color="green",shape="box"];2451[label="Zero",fontsize=16,color="green",shape="box"];2452 -> 2049[label="",style="dashed", color="red", weight=0];
2452[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2452 -> 2509[label="",style="dashed", color="magenta", weight=3];
2453 -> 2049[label="",style="dashed", color="red", weight=0];
2453[label="primMulNat vvv400 Zero",fontsize=16,color="magenta"];2453 -> 2510[label="",style="dashed", color="magenta", weight=3];
2454[label="vvv182",fontsize=16,color="green",shape="box"];2456 -> 15[label="",style="dashed", color="red", weight=0];
2456[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2455[label="primQuotInt (Pos vvv186) (gcd2 (Pos vvv187 == vvv216) (Pos vvv187) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2455 -> 2511[label="",style="solid", color="black", weight=3];
2457[label="vvv90",fontsize=16,color="green",shape="box"];2458[label="vvv10",fontsize=16,color="green",shape="box"];2459[label="vvv90",fontsize=16,color="green",shape="box"];2460[label="vvv10",fontsize=16,color="green",shape="box"];2461 -> 2512[label="",style="dashed", color="red", weight=0];
2461[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (primPlusNat vvv185 vvv201)) vvv163) (Pos (primPlusNat vvv185 vvv201)) (Pos vvv116))",fontsize=16,color="magenta"];2461 -> 2513[label="",style="dashed", color="magenta", weight=3];
2461 -> 2514[label="",style="dashed", color="magenta", weight=3];
2462[label="vvv90",fontsize=16,color="green",shape="box"];2463[label="vvv10",fontsize=16,color="green",shape="box"];2464[label="vvv90",fontsize=16,color="green",shape="box"];2465[label="vvv10",fontsize=16,color="green",shape="box"];2466[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat vvv185 vvv203) vvv163) (primMinusNat vvv185 vvv203) (Pos vvv116))",fontsize=16,color="burlywood",shape="triangle"];29558[label="vvv185/Succ vvv1850",fontsize=10,color="white",style="solid",shape="box"];2466 -> 29558[label="",style="solid", color="burlywood", weight=9];
29558 -> 2519[label="",style="solid", color="burlywood", weight=3];
29559[label="vvv185/Zero",fontsize=10,color="white",style="solid",shape="box"];2466 -> 29559[label="",style="solid", color="burlywood", weight=9];
29559 -> 2520[label="",style="solid", color="burlywood", weight=3];
2467[label="vvv400",fontsize=16,color="green",shape="box"];2468[label="vvv400",fontsize=16,color="green",shape="box"];2470 -> 15[label="",style="dashed", color="red", weight=0];
2470[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2469[label="primQuotInt (Neg vvv190) (gcd2 (Neg vvv191 == vvv217) (Neg vvv191) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2469 -> 2521[label="",style="solid", color="black", weight=3];
2471[label="vvv200",fontsize=16,color="green",shape="box"];2472[label="vvv21",fontsize=16,color="green",shape="box"];2473[label="vvv200",fontsize=16,color="green",shape="box"];2474[label="vvv21",fontsize=16,color="green",shape="box"];2475[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat vvv205 vvv189) vvv108) (primMinusNat vvv205 vvv189) (Neg vvv47))",fontsize=16,color="burlywood",shape="triangle"];29561[label="vvv205/Succ vvv2050",fontsize=10,color="white",style="solid",shape="box"];2475 -> 29561[label="",style="solid", color="burlywood", weight=9];
29561 -> 2522[label="",style="solid", color="burlywood", weight=3];
29562[label="vvv205/Zero",fontsize=10,color="white",style="solid",shape="box"];2475 -> 29562[label="",style="solid", color="burlywood", weight=9];
29562 -> 2523[label="",style="solid", color="burlywood", weight=3];
2476[label="vvv200",fontsize=16,color="green",shape="box"];2477[label="vvv21",fontsize=16,color="green",shape="box"];2478[label="vvv200",fontsize=16,color="green",shape="box"];2479[label="vvv21",fontsize=16,color="green",shape="box"];2480 -> 2524[label="",style="dashed", color="red", weight=0];
2480[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg (primPlusNat vvv189 vvv207)) vvv108) (Neg (primPlusNat vvv189 vvv207)) (Neg vvv47))",fontsize=16,color="magenta"];2480 -> 2525[label="",style="dashed", color="magenta", weight=3];
2480 -> 2526[label="",style="dashed", color="magenta", weight=3];
2481[label="vvv400",fontsize=16,color="green",shape="box"];2482[label="vvv400",fontsize=16,color="green",shape="box"];2484 -> 15[label="",style="dashed", color="red", weight=0];
2484[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2483[label="primQuotInt (Pos vvv194) (gcd2 (Pos vvv195 == vvv218) (Pos vvv195) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2483 -> 2531[label="",style="solid", color="black", weight=3];
2485[label="vvv250",fontsize=16,color="green",shape="box"];2486[label="vvv26",fontsize=16,color="green",shape="box"];2487[label="vvv250",fontsize=16,color="green",shape="box"];2488[label="vvv26",fontsize=16,color="green",shape="box"];2489 -> 2475[label="",style="dashed", color="red", weight=0];
2489[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (primMinusNat vvv193 vvv209) vvv111) (primMinusNat vvv193 vvv209) (Neg vvv52))",fontsize=16,color="magenta"];2489 -> 2532[label="",style="dashed", color="magenta", weight=3];
2489 -> 2533[label="",style="dashed", color="magenta", weight=3];
2489 -> 2534[label="",style="dashed", color="magenta", weight=3];
2489 -> 2535[label="",style="dashed", color="magenta", weight=3];
2489 -> 2536[label="",style="dashed", color="magenta", weight=3];
2490[label="vvv250",fontsize=16,color="green",shape="box"];2491[label="vvv26",fontsize=16,color="green",shape="box"];2492[label="vvv250",fontsize=16,color="green",shape="box"];2493[label="vvv26",fontsize=16,color="green",shape="box"];2494 -> 2537[label="",style="dashed", color="red", weight=0];
2494[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos (primPlusNat vvv193 vvv211)) vvv111) (Pos (primPlusNat vvv193 vvv211)) (Neg vvv52))",fontsize=16,color="magenta"];2494 -> 2538[label="",style="dashed", color="magenta", weight=3];
2494 -> 2539[label="",style="dashed", color="magenta", weight=3];
2495[label="vvv400",fontsize=16,color="green",shape="box"];2496[label="vvv400",fontsize=16,color="green",shape="box"];2498 -> 15[label="",style="dashed", color="red", weight=0];
2498[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2497[label="primQuotInt (Neg vvv198) (gcd2 (Neg vvv199 == vvv219) (Neg vvv199) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2497 -> 2540[label="",style="solid", color="black", weight=3];
2499[label="vvv300",fontsize=16,color="green",shape="box"];2500[label="vvv31",fontsize=16,color="green",shape="box"];2501[label="vvv300",fontsize=16,color="green",shape="box"];2502[label="vvv31",fontsize=16,color="green",shape="box"];2503 -> 2541[label="",style="dashed", color="red", weight=0];
2503[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg (primPlusNat vvv197 vvv213)) vvv114) (Neg (primPlusNat vvv197 vvv213)) (Pos vvv72))",fontsize=16,color="magenta"];2503 -> 2542[label="",style="dashed", color="magenta", weight=3];
2503 -> 2543[label="",style="dashed", color="magenta", weight=3];
2504[label="vvv300",fontsize=16,color="green",shape="box"];2505[label="vvv31",fontsize=16,color="green",shape="box"];2506[label="vvv300",fontsize=16,color="green",shape="box"];2507[label="vvv31",fontsize=16,color="green",shape="box"];2508 -> 2466[label="",style="dashed", color="red", weight=0];
2508[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (primMinusNat vvv215 vvv197) vvv114) (primMinusNat vvv215 vvv197) (Pos vvv72))",fontsize=16,color="magenta"];2508 -> 2544[label="",style="dashed", color="magenta", weight=3];
2508 -> 2545[label="",style="dashed", color="magenta", weight=3];
2508 -> 2546[label="",style="dashed", color="magenta", weight=3];
2508 -> 2547[label="",style="dashed", color="magenta", weight=3];
2508 -> 2548[label="",style="dashed", color="magenta", weight=3];
2509[label="vvv400",fontsize=16,color="green",shape="box"];2510[label="vvv400",fontsize=16,color="green",shape="box"];2511 -> 2512[label="",style="dashed", color="red", weight=0];
2511[label="primQuotInt (Pos vvv186) (gcd2 (primEqInt (Pos vvv187) vvv216) (Pos vvv187) (Pos vvv116))",fontsize=16,color="magenta"];2511 -> 2515[label="",style="dashed", color="magenta", weight=3];
2511 -> 2516[label="",style="dashed", color="magenta", weight=3];
2511 -> 2517[label="",style="dashed", color="magenta", weight=3];
2511 -> 2518[label="",style="dashed", color="magenta", weight=3];
2513 -> 995[label="",style="dashed", color="red", weight=0];
2513[label="primPlusNat vvv185 vvv201",fontsize=16,color="magenta"];2513 -> 2549[label="",style="dashed", color="magenta", weight=3];
2513 -> 2550[label="",style="dashed", color="magenta", weight=3];
2514 -> 995[label="",style="dashed", color="red", weight=0];
2514[label="primPlusNat vvv185 vvv201",fontsize=16,color="magenta"];2514 -> 2551[label="",style="dashed", color="magenta", weight=3];
2514 -> 2552[label="",style="dashed", color="magenta", weight=3];
2512[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos vvv221) vvv163) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="triangle"];29573[label="vvv221/Succ vvv2210",fontsize=10,color="white",style="solid",shape="box"];2512 -> 29573[label="",style="solid", color="burlywood", weight=9];
29573 -> 2553[label="",style="solid", color="burlywood", weight=3];
29574[label="vvv221/Zero",fontsize=10,color="white",style="solid",shape="box"];2512 -> 29574[label="",style="solid", color="burlywood", weight=9];
29574 -> 2554[label="",style="solid", color="burlywood", weight=3];
2519[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat (Succ vvv1850) vvv203) vvv163) (primMinusNat (Succ vvv1850) vvv203) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29575[label="vvv203/Succ vvv2030",fontsize=10,color="white",style="solid",shape="box"];2519 -> 29575[label="",style="solid", color="burlywood", weight=9];
29575 -> 2555[label="",style="solid", color="burlywood", weight=3];
29576[label="vvv203/Zero",fontsize=10,color="white",style="solid",shape="box"];2519 -> 29576[label="",style="solid", color="burlywood", weight=9];
29576 -> 2556[label="",style="solid", color="burlywood", weight=3];
2520[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat Zero vvv203) vvv163) (primMinusNat Zero vvv203) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29577[label="vvv203/Succ vvv2030",fontsize=10,color="white",style="solid",shape="box"];2520 -> 29577[label="",style="solid", color="burlywood", weight=9];
29577 -> 2557[label="",style="solid", color="burlywood", weight=3];
29578[label="vvv203/Zero",fontsize=10,color="white",style="solid",shape="box"];2520 -> 29578[label="",style="solid", color="burlywood", weight=9];
29578 -> 2558[label="",style="solid", color="burlywood", weight=3];
2521 -> 2524[label="",style="dashed", color="red", weight=0];
2521[label="primQuotInt (Neg vvv190) (gcd2 (primEqInt (Neg vvv191) vvv217) (Neg vvv191) (Neg vvv47))",fontsize=16,color="magenta"];2521 -> 2527[label="",style="dashed", color="magenta", weight=3];
2521 -> 2528[label="",style="dashed", color="magenta", weight=3];
2521 -> 2529[label="",style="dashed", color="magenta", weight=3];
2521 -> 2530[label="",style="dashed", color="magenta", weight=3];
2522[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat (Succ vvv2050) vvv189) vvv108) (primMinusNat (Succ vvv2050) vvv189) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29580[label="vvv189/Succ vvv1890",fontsize=10,color="white",style="solid",shape="box"];2522 -> 29580[label="",style="solid", color="burlywood", weight=9];
29580 -> 2559[label="",style="solid", color="burlywood", weight=3];
29581[label="vvv189/Zero",fontsize=10,color="white",style="solid",shape="box"];2522 -> 29581[label="",style="solid", color="burlywood", weight=9];
29581 -> 2560[label="",style="solid", color="burlywood", weight=3];
2523[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat Zero vvv189) vvv108) (primMinusNat Zero vvv189) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29582[label="vvv189/Succ vvv1890",fontsize=10,color="white",style="solid",shape="box"];2523 -> 29582[label="",style="solid", color="burlywood", weight=9];
29582 -> 2561[label="",style="solid", color="burlywood", weight=3];
29583[label="vvv189/Zero",fontsize=10,color="white",style="solid",shape="box"];2523 -> 29583[label="",style="solid", color="burlywood", weight=9];
29583 -> 2562[label="",style="solid", color="burlywood", weight=3];
2525 -> 995[label="",style="dashed", color="red", weight=0];
2525[label="primPlusNat vvv189 vvv207",fontsize=16,color="magenta"];2525 -> 2563[label="",style="dashed", color="magenta", weight=3];
2525 -> 2564[label="",style="dashed", color="magenta", weight=3];
2526 -> 995[label="",style="dashed", color="red", weight=0];
2526[label="primPlusNat vvv189 vvv207",fontsize=16,color="magenta"];2526 -> 2565[label="",style="dashed", color="magenta", weight=3];
2526 -> 2566[label="",style="dashed", color="magenta", weight=3];
2524[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg vvv223) vvv108) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="triangle"];29586[label="vvv223/Succ vvv2230",fontsize=10,color="white",style="solid",shape="box"];2524 -> 29586[label="",style="solid", color="burlywood", weight=9];
29586 -> 2567[label="",style="solid", color="burlywood", weight=3];
29587[label="vvv223/Zero",fontsize=10,color="white",style="solid",shape="box"];2524 -> 29587[label="",style="solid", color="burlywood", weight=9];
29587 -> 2568[label="",style="solid", color="burlywood", weight=3];
2531[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos vvv195) vvv218) (Pos vvv195) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29588[label="vvv195/Succ vvv1950",fontsize=10,color="white",style="solid",shape="box"];2531 -> 29588[label="",style="solid", color="burlywood", weight=9];
29588 -> 2569[label="",style="solid", color="burlywood", weight=3];
29589[label="vvv195/Zero",fontsize=10,color="white",style="solid",shape="box"];2531 -> 29589[label="",style="solid", color="burlywood", weight=9];
29589 -> 2570[label="",style="solid", color="burlywood", weight=3];
2532[label="vvv52",fontsize=16,color="green",shape="box"];2533[label="vvv51",fontsize=16,color="green",shape="box"];2534[label="vvv193",fontsize=16,color="green",shape="box"];2535[label="vvv111",fontsize=16,color="green",shape="box"];2536[label="vvv209",fontsize=16,color="green",shape="box"];2538 -> 995[label="",style="dashed", color="red", weight=0];
2538[label="primPlusNat vvv193 vvv211",fontsize=16,color="magenta"];2538 -> 2571[label="",style="dashed", color="magenta", weight=3];
2538 -> 2572[label="",style="dashed", color="magenta", weight=3];
2539 -> 995[label="",style="dashed", color="red", weight=0];
2539[label="primPlusNat vvv193 vvv211",fontsize=16,color="magenta"];2539 -> 2573[label="",style="dashed", color="magenta", weight=3];
2539 -> 2574[label="",style="dashed", color="magenta", weight=3];
2537[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos vvv225) vvv111) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="triangle"];29592[label="vvv225/Succ vvv2250",fontsize=10,color="white",style="solid",shape="box"];2537 -> 29592[label="",style="solid", color="burlywood", weight=9];
29592 -> 2575[label="",style="solid", color="burlywood", weight=3];
29593[label="vvv225/Zero",fontsize=10,color="white",style="solid",shape="box"];2537 -> 29593[label="",style="solid", color="burlywood", weight=9];
29593 -> 2576[label="",style="solid", color="burlywood", weight=3];
2540[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg vvv199) vvv219) (Neg vvv199) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29594[label="vvv199/Succ vvv1990",fontsize=10,color="white",style="solid",shape="box"];2540 -> 29594[label="",style="solid", color="burlywood", weight=9];
29594 -> 2577[label="",style="solid", color="burlywood", weight=3];
29595[label="vvv199/Zero",fontsize=10,color="white",style="solid",shape="box"];2540 -> 29595[label="",style="solid", color="burlywood", weight=9];
29595 -> 2578[label="",style="solid", color="burlywood", weight=3];
2542 -> 995[label="",style="dashed", color="red", weight=0];
2542[label="primPlusNat vvv197 vvv213",fontsize=16,color="magenta"];2542 -> 2579[label="",style="dashed", color="magenta", weight=3];
2542 -> 2580[label="",style="dashed", color="magenta", weight=3];
2543 -> 995[label="",style="dashed", color="red", weight=0];
2543[label="primPlusNat vvv197 vvv213",fontsize=16,color="magenta"];2543 -> 2581[label="",style="dashed", color="magenta", weight=3];
2543 -> 2582[label="",style="dashed", color="magenta", weight=3];
2541[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg vvv227) vvv114) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="triangle"];29598[label="vvv227/Succ vvv2270",fontsize=10,color="white",style="solid",shape="box"];2541 -> 29598[label="",style="solid", color="burlywood", weight=9];
29598 -> 2583[label="",style="solid", color="burlywood", weight=3];
29599[label="vvv227/Zero",fontsize=10,color="white",style="solid",shape="box"];2541 -> 29599[label="",style="solid", color="burlywood", weight=9];
29599 -> 2584[label="",style="solid", color="burlywood", weight=3];
2544[label="vvv197",fontsize=16,color="green",shape="box"];2545[label="vvv72",fontsize=16,color="green",shape="box"];2546[label="vvv71",fontsize=16,color="green",shape="box"];2547[label="vvv114",fontsize=16,color="green",shape="box"];2548[label="vvv215",fontsize=16,color="green",shape="box"];2515[label="vvv187",fontsize=16,color="green",shape="box"];2516[label="vvv186",fontsize=16,color="green",shape="box"];2517[label="vvv187",fontsize=16,color="green",shape="box"];2518[label="vvv216",fontsize=16,color="green",shape="box"];2549[label="vvv185",fontsize=16,color="green",shape="box"];2550[label="vvv201",fontsize=16,color="green",shape="box"];2551[label="vvv185",fontsize=16,color="green",shape="box"];2552[label="vvv201",fontsize=16,color="green",shape="box"];2553[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (Succ vvv2210)) vvv163) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29600[label="vvv163/Pos vvv1630",fontsize=10,color="white",style="solid",shape="box"];2553 -> 29600[label="",style="solid", color="burlywood", weight=9];
29600 -> 2585[label="",style="solid", color="burlywood", weight=3];
29601[label="vvv163/Neg vvv1630",fontsize=10,color="white",style="solid",shape="box"];2553 -> 29601[label="",style="solid", color="burlywood", weight=9];
29601 -> 2586[label="",style="solid", color="burlywood", weight=3];
2554[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) vvv163) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29602[label="vvv163/Pos vvv1630",fontsize=10,color="white",style="solid",shape="box"];2554 -> 29602[label="",style="solid", color="burlywood", weight=9];
29602 -> 2587[label="",style="solid", color="burlywood", weight=3];
29603[label="vvv163/Neg vvv1630",fontsize=10,color="white",style="solid",shape="box"];2554 -> 29603[label="",style="solid", color="burlywood", weight=9];
29603 -> 2588[label="",style="solid", color="burlywood", weight=3];
2555[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat (Succ vvv1850) (Succ vvv2030)) vvv163) (primMinusNat (Succ vvv1850) (Succ vvv2030)) (Pos vvv116))",fontsize=16,color="black",shape="box"];2555 -> 2589[label="",style="solid", color="black", weight=3];
2556[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat (Succ vvv1850) Zero) vvv163) (primMinusNat (Succ vvv1850) Zero) (Pos vvv116))",fontsize=16,color="black",shape="box"];2556 -> 2590[label="",style="solid", color="black", weight=3];
2557[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat Zero (Succ vvv2030)) vvv163) (primMinusNat Zero (Succ vvv2030)) (Pos vvv116))",fontsize=16,color="black",shape="box"];2557 -> 2591[label="",style="solid", color="black", weight=3];
2558[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat Zero Zero) vvv163) (primMinusNat Zero Zero) (Pos vvv116))",fontsize=16,color="black",shape="box"];2558 -> 2592[label="",style="solid", color="black", weight=3];
2527[label="vvv191",fontsize=16,color="green",shape="box"];2528[label="vvv190",fontsize=16,color="green",shape="box"];2529[label="vvv191",fontsize=16,color="green",shape="box"];2530[label="vvv217",fontsize=16,color="green",shape="box"];2559[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat (Succ vvv2050) (Succ vvv1890)) vvv108) (primMinusNat (Succ vvv2050) (Succ vvv1890)) (Neg vvv47))",fontsize=16,color="black",shape="box"];2559 -> 2593[label="",style="solid", color="black", weight=3];
2560[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat (Succ vvv2050) Zero) vvv108) (primMinusNat (Succ vvv2050) Zero) (Neg vvv47))",fontsize=16,color="black",shape="box"];2560 -> 2594[label="",style="solid", color="black", weight=3];
2561[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat Zero (Succ vvv1890)) vvv108) (primMinusNat Zero (Succ vvv1890)) (Neg vvv47))",fontsize=16,color="black",shape="box"];2561 -> 2595[label="",style="solid", color="black", weight=3];
2562[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat Zero Zero) vvv108) (primMinusNat Zero Zero) (Neg vvv47))",fontsize=16,color="black",shape="box"];2562 -> 2596[label="",style="solid", color="black", weight=3];
2563[label="vvv189",fontsize=16,color="green",shape="box"];2564[label="vvv207",fontsize=16,color="green",shape="box"];2565[label="vvv189",fontsize=16,color="green",shape="box"];2566[label="vvv207",fontsize=16,color="green",shape="box"];2567[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg (Succ vvv2230)) vvv108) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29604[label="vvv108/Pos vvv1080",fontsize=10,color="white",style="solid",shape="box"];2567 -> 29604[label="",style="solid", color="burlywood", weight=9];
29604 -> 2597[label="",style="solid", color="burlywood", weight=3];
29605[label="vvv108/Neg vvv1080",fontsize=10,color="white",style="solid",shape="box"];2567 -> 29605[label="",style="solid", color="burlywood", weight=9];
29605 -> 2598[label="",style="solid", color="burlywood", weight=3];
2568[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg Zero) vvv108) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29606[label="vvv108/Pos vvv1080",fontsize=10,color="white",style="solid",shape="box"];2568 -> 29606[label="",style="solid", color="burlywood", weight=9];
29606 -> 2599[label="",style="solid", color="burlywood", weight=3];
29607[label="vvv108/Neg vvv1080",fontsize=10,color="white",style="solid",shape="box"];2568 -> 29607[label="",style="solid", color="burlywood", weight=9];
29607 -> 2600[label="",style="solid", color="burlywood", weight=3];
2569[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos (Succ vvv1950)) vvv218) (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29608[label="vvv218/Pos vvv2180",fontsize=10,color="white",style="solid",shape="box"];2569 -> 29608[label="",style="solid", color="burlywood", weight=9];
29608 -> 2601[label="",style="solid", color="burlywood", weight=3];
29609[label="vvv218/Neg vvv2180",fontsize=10,color="white",style="solid",shape="box"];2569 -> 29609[label="",style="solid", color="burlywood", weight=9];
29609 -> 2602[label="",style="solid", color="burlywood", weight=3];
2570[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos Zero) vvv218) (Pos Zero) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29610[label="vvv218/Pos vvv2180",fontsize=10,color="white",style="solid",shape="box"];2570 -> 29610[label="",style="solid", color="burlywood", weight=9];
29610 -> 2603[label="",style="solid", color="burlywood", weight=3];
29611[label="vvv218/Neg vvv2180",fontsize=10,color="white",style="solid",shape="box"];2570 -> 29611[label="",style="solid", color="burlywood", weight=9];
29611 -> 2604[label="",style="solid", color="burlywood", weight=3];
2571[label="vvv193",fontsize=16,color="green",shape="box"];2572[label="vvv211",fontsize=16,color="green",shape="box"];2573[label="vvv193",fontsize=16,color="green",shape="box"];2574[label="vvv211",fontsize=16,color="green",shape="box"];2575[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos (Succ vvv2250)) vvv111) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29612[label="vvv111/Pos vvv1110",fontsize=10,color="white",style="solid",shape="box"];2575 -> 29612[label="",style="solid", color="burlywood", weight=9];
29612 -> 2605[label="",style="solid", color="burlywood", weight=3];
29613[label="vvv111/Neg vvv1110",fontsize=10,color="white",style="solid",shape="box"];2575 -> 29613[label="",style="solid", color="burlywood", weight=9];
29613 -> 2606[label="",style="solid", color="burlywood", weight=3];
2576[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos Zero) vvv111) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29614[label="vvv111/Pos vvv1110",fontsize=10,color="white",style="solid",shape="box"];2576 -> 29614[label="",style="solid", color="burlywood", weight=9];
29614 -> 2607[label="",style="solid", color="burlywood", weight=3];
29615[label="vvv111/Neg vvv1110",fontsize=10,color="white",style="solid",shape="box"];2576 -> 29615[label="",style="solid", color="burlywood", weight=9];
29615 -> 2608[label="",style="solid", color="burlywood", weight=3];
2577[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg (Succ vvv1990)) vvv219) (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29616[label="vvv219/Pos vvv2190",fontsize=10,color="white",style="solid",shape="box"];2577 -> 29616[label="",style="solid", color="burlywood", weight=9];
29616 -> 2609[label="",style="solid", color="burlywood", weight=3];
29617[label="vvv219/Neg vvv2190",fontsize=10,color="white",style="solid",shape="box"];2577 -> 29617[label="",style="solid", color="burlywood", weight=9];
29617 -> 2610[label="",style="solid", color="burlywood", weight=3];
2578[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg Zero) vvv219) (Neg Zero) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29618[label="vvv219/Pos vvv2190",fontsize=10,color="white",style="solid",shape="box"];2578 -> 29618[label="",style="solid", color="burlywood", weight=9];
29618 -> 2611[label="",style="solid", color="burlywood", weight=3];
29619[label="vvv219/Neg vvv2190",fontsize=10,color="white",style="solid",shape="box"];2578 -> 29619[label="",style="solid", color="burlywood", weight=9];
29619 -> 2612[label="",style="solid", color="burlywood", weight=3];
2579[label="vvv197",fontsize=16,color="green",shape="box"];2580[label="vvv213",fontsize=16,color="green",shape="box"];2581[label="vvv197",fontsize=16,color="green",shape="box"];2582[label="vvv213",fontsize=16,color="green",shape="box"];2583[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg (Succ vvv2270)) vvv114) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29620[label="vvv114/Pos vvv1140",fontsize=10,color="white",style="solid",shape="box"];2583 -> 29620[label="",style="solid", color="burlywood", weight=9];
29620 -> 2613[label="",style="solid", color="burlywood", weight=3];
29621[label="vvv114/Neg vvv1140",fontsize=10,color="white",style="solid",shape="box"];2583 -> 29621[label="",style="solid", color="burlywood", weight=9];
29621 -> 2614[label="",style="solid", color="burlywood", weight=3];
2584[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg Zero) vvv114) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29622[label="vvv114/Pos vvv1140",fontsize=10,color="white",style="solid",shape="box"];2584 -> 29622[label="",style="solid", color="burlywood", weight=9];
29622 -> 2615[label="",style="solid", color="burlywood", weight=3];
29623[label="vvv114/Neg vvv1140",fontsize=10,color="white",style="solid",shape="box"];2584 -> 29623[label="",style="solid", color="burlywood", weight=9];
29623 -> 2616[label="",style="solid", color="burlywood", weight=3];
2585[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (Succ vvv2210)) (Pos vvv1630)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29624[label="vvv1630/Succ vvv16300",fontsize=10,color="white",style="solid",shape="box"];2585 -> 29624[label="",style="solid", color="burlywood", weight=9];
29624 -> 2617[label="",style="solid", color="burlywood", weight=3];
29625[label="vvv1630/Zero",fontsize=10,color="white",style="solid",shape="box"];2585 -> 29625[label="",style="solid", color="burlywood", weight=9];
29625 -> 2618[label="",style="solid", color="burlywood", weight=3];
2586[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (Succ vvv2210)) (Neg vvv1630)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2586 -> 2619[label="",style="solid", color="black", weight=3];
2587[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) (Pos vvv1630)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29626[label="vvv1630/Succ vvv16300",fontsize=10,color="white",style="solid",shape="box"];2587 -> 29626[label="",style="solid", color="burlywood", weight=9];
29626 -> 2620[label="",style="solid", color="burlywood", weight=3];
29627[label="vvv1630/Zero",fontsize=10,color="white",style="solid",shape="box"];2587 -> 29627[label="",style="solid", color="burlywood", weight=9];
29627 -> 2621[label="",style="solid", color="burlywood", weight=3];
2588[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) (Neg vvv1630)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29628[label="vvv1630/Succ vvv16300",fontsize=10,color="white",style="solid",shape="box"];2588 -> 29628[label="",style="solid", color="burlywood", weight=9];
29628 -> 2622[label="",style="solid", color="burlywood", weight=3];
29629[label="vvv1630/Zero",fontsize=10,color="white",style="solid",shape="box"];2588 -> 29629[label="",style="solid", color="burlywood", weight=9];
29629 -> 2623[label="",style="solid", color="burlywood", weight=3];
2589 -> 2466[label="",style="dashed", color="red", weight=0];
2589[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (primMinusNat vvv1850 vvv2030) vvv163) (primMinusNat vvv1850 vvv2030) (Pos vvv116))",fontsize=16,color="magenta"];2589 -> 2624[label="",style="dashed", color="magenta", weight=3];
2589 -> 2625[label="",style="dashed", color="magenta", weight=3];
2590 -> 2512[label="",style="dashed", color="red", weight=0];
2590[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (Succ vvv1850)) vvv163) (Pos (Succ vvv1850)) (Pos vvv116))",fontsize=16,color="magenta"];2590 -> 2626[label="",style="dashed", color="magenta", weight=3];
2590 -> 2627[label="",style="dashed", color="magenta", weight=3];
2591 -> 2541[label="",style="dashed", color="red", weight=0];
2591[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Neg (Succ vvv2030)) vvv163) (Neg (Succ vvv2030)) (Pos vvv116))",fontsize=16,color="magenta"];2591 -> 2628[label="",style="dashed", color="magenta", weight=3];
2591 -> 2629[label="",style="dashed", color="magenta", weight=3];
2591 -> 2630[label="",style="dashed", color="magenta", weight=3];
2591 -> 2631[label="",style="dashed", color="magenta", weight=3];
2591 -> 2632[label="",style="dashed", color="magenta", weight=3];
2592 -> 2512[label="",style="dashed", color="red", weight=0];
2592[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) vvv163) (Pos Zero) (Pos vvv116))",fontsize=16,color="magenta"];2592 -> 2633[label="",style="dashed", color="magenta", weight=3];
2592 -> 2634[label="",style="dashed", color="magenta", weight=3];
2593 -> 2475[label="",style="dashed", color="red", weight=0];
2593[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (primMinusNat vvv2050 vvv1890) vvv108) (primMinusNat vvv2050 vvv1890) (Neg vvv47))",fontsize=16,color="magenta"];2593 -> 2635[label="",style="dashed", color="magenta", weight=3];
2593 -> 2636[label="",style="dashed", color="magenta", weight=3];
2594 -> 2537[label="",style="dashed", color="red", weight=0];
2594[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Pos (Succ vvv2050)) vvv108) (Pos (Succ vvv2050)) (Neg vvv47))",fontsize=16,color="magenta"];2594 -> 2637[label="",style="dashed", color="magenta", weight=3];
2594 -> 2638[label="",style="dashed", color="magenta", weight=3];
2594 -> 2639[label="",style="dashed", color="magenta", weight=3];
2594 -> 2640[label="",style="dashed", color="magenta", weight=3];
2594 -> 2641[label="",style="dashed", color="magenta", weight=3];
2595 -> 2524[label="",style="dashed", color="red", weight=0];
2595[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg (Succ vvv1890)) vvv108) (Neg (Succ vvv1890)) (Neg vvv47))",fontsize=16,color="magenta"];2595 -> 2642[label="",style="dashed", color="magenta", weight=3];
2595 -> 2643[label="",style="dashed", color="magenta", weight=3];
2596 -> 2537[label="",style="dashed", color="red", weight=0];
2596[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Pos Zero) vvv108) (Pos Zero) (Neg vvv47))",fontsize=16,color="magenta"];2596 -> 2644[label="",style="dashed", color="magenta", weight=3];
2596 -> 2645[label="",style="dashed", color="magenta", weight=3];
2596 -> 2646[label="",style="dashed", color="magenta", weight=3];
2596 -> 2647[label="",style="dashed", color="magenta", weight=3];
2596 -> 2648[label="",style="dashed", color="magenta", weight=3];
2597[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg (Succ vvv2230)) (Pos vvv1080)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2597 -> 2649[label="",style="solid", color="black", weight=3];
2598[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg (Succ vvv2230)) (Neg vvv1080)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29638[label="vvv1080/Succ vvv10800",fontsize=10,color="white",style="solid",shape="box"];2598 -> 29638[label="",style="solid", color="burlywood", weight=9];
29638 -> 2650[label="",style="solid", color="burlywood", weight=3];
29639[label="vvv1080/Zero",fontsize=10,color="white",style="solid",shape="box"];2598 -> 29639[label="",style="solid", color="burlywood", weight=9];
29639 -> 2651[label="",style="solid", color="burlywood", weight=3];
2599[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg Zero) (Pos vvv1080)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29640[label="vvv1080/Succ vvv10800",fontsize=10,color="white",style="solid",shape="box"];2599 -> 29640[label="",style="solid", color="burlywood", weight=9];
29640 -> 2652[label="",style="solid", color="burlywood", weight=3];
29641[label="vvv1080/Zero",fontsize=10,color="white",style="solid",shape="box"];2599 -> 29641[label="",style="solid", color="burlywood", weight=9];
29641 -> 2653[label="",style="solid", color="burlywood", weight=3];
2600[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg Zero) (Neg vvv1080)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29642[label="vvv1080/Succ vvv10800",fontsize=10,color="white",style="solid",shape="box"];2600 -> 29642[label="",style="solid", color="burlywood", weight=9];
29642 -> 2654[label="",style="solid", color="burlywood", weight=3];
29643[label="vvv1080/Zero",fontsize=10,color="white",style="solid",shape="box"];2600 -> 29643[label="",style="solid", color="burlywood", weight=9];
29643 -> 2655[label="",style="solid", color="burlywood", weight=3];
2601[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos (Succ vvv1950)) (Pos vvv2180)) (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29644[label="vvv2180/Succ vvv21800",fontsize=10,color="white",style="solid",shape="box"];2601 -> 29644[label="",style="solid", color="burlywood", weight=9];
29644 -> 2656[label="",style="solid", color="burlywood", weight=3];
29645[label="vvv2180/Zero",fontsize=10,color="white",style="solid",shape="box"];2601 -> 29645[label="",style="solid", color="burlywood", weight=9];
29645 -> 2657[label="",style="solid", color="burlywood", weight=3];
2602[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos (Succ vvv1950)) (Neg vvv2180)) (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="black",shape="box"];2602 -> 2658[label="",style="solid", color="black", weight=3];
2603[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos Zero) (Pos vvv2180)) (Pos Zero) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29646[label="vvv2180/Succ vvv21800",fontsize=10,color="white",style="solid",shape="box"];2603 -> 29646[label="",style="solid", color="burlywood", weight=9];
29646 -> 2659[label="",style="solid", color="burlywood", weight=3];
29647[label="vvv2180/Zero",fontsize=10,color="white",style="solid",shape="box"];2603 -> 29647[label="",style="solid", color="burlywood", weight=9];
29647 -> 2660[label="",style="solid", color="burlywood", weight=3];
2604[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos Zero) (Neg vvv2180)) (Pos Zero) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29648[label="vvv2180/Succ vvv21800",fontsize=10,color="white",style="solid",shape="box"];2604 -> 29648[label="",style="solid", color="burlywood", weight=9];
29648 -> 2661[label="",style="solid", color="burlywood", weight=3];
29649[label="vvv2180/Zero",fontsize=10,color="white",style="solid",shape="box"];2604 -> 29649[label="",style="solid", color="burlywood", weight=9];
29649 -> 2662[label="",style="solid", color="burlywood", weight=3];
2605[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos (Succ vvv2250)) (Pos vvv1110)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29650[label="vvv1110/Succ vvv11100",fontsize=10,color="white",style="solid",shape="box"];2605 -> 29650[label="",style="solid", color="burlywood", weight=9];
29650 -> 2663[label="",style="solid", color="burlywood", weight=3];
29651[label="vvv1110/Zero",fontsize=10,color="white",style="solid",shape="box"];2605 -> 29651[label="",style="solid", color="burlywood", weight=9];
29651 -> 2664[label="",style="solid", color="burlywood", weight=3];
2606[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos (Succ vvv2250)) (Neg vvv1110)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2606 -> 2665[label="",style="solid", color="black", weight=3];
2607[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos Zero) (Pos vvv1110)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29652[label="vvv1110/Succ vvv11100",fontsize=10,color="white",style="solid",shape="box"];2607 -> 29652[label="",style="solid", color="burlywood", weight=9];
29652 -> 2666[label="",style="solid", color="burlywood", weight=3];
29653[label="vvv1110/Zero",fontsize=10,color="white",style="solid",shape="box"];2607 -> 29653[label="",style="solid", color="burlywood", weight=9];
29653 -> 2667[label="",style="solid", color="burlywood", weight=3];
2608[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos Zero) (Neg vvv1110)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29654[label="vvv1110/Succ vvv11100",fontsize=10,color="white",style="solid",shape="box"];2608 -> 29654[label="",style="solid", color="burlywood", weight=9];
29654 -> 2668[label="",style="solid", color="burlywood", weight=3];
29655[label="vvv1110/Zero",fontsize=10,color="white",style="solid",shape="box"];2608 -> 29655[label="",style="solid", color="burlywood", weight=9];
29655 -> 2669[label="",style="solid", color="burlywood", weight=3];
2609[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg (Succ vvv1990)) (Pos vvv2190)) (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="black",shape="box"];2609 -> 2670[label="",style="solid", color="black", weight=3];
2610[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg (Succ vvv1990)) (Neg vvv2190)) (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29656[label="vvv2190/Succ vvv21900",fontsize=10,color="white",style="solid",shape="box"];2610 -> 29656[label="",style="solid", color="burlywood", weight=9];
29656 -> 2671[label="",style="solid", color="burlywood", weight=3];
29657[label="vvv2190/Zero",fontsize=10,color="white",style="solid",shape="box"];2610 -> 29657[label="",style="solid", color="burlywood", weight=9];
29657 -> 2672[label="",style="solid", color="burlywood", weight=3];
2611[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg Zero) (Pos vvv2190)) (Neg Zero) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29658[label="vvv2190/Succ vvv21900",fontsize=10,color="white",style="solid",shape="box"];2611 -> 29658[label="",style="solid", color="burlywood", weight=9];
29658 -> 2673[label="",style="solid", color="burlywood", weight=3];
29659[label="vvv2190/Zero",fontsize=10,color="white",style="solid",shape="box"];2611 -> 29659[label="",style="solid", color="burlywood", weight=9];
29659 -> 2674[label="",style="solid", color="burlywood", weight=3];
2612[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg Zero) (Neg vvv2190)) (Neg Zero) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29660[label="vvv2190/Succ vvv21900",fontsize=10,color="white",style="solid",shape="box"];2612 -> 29660[label="",style="solid", color="burlywood", weight=9];
29660 -> 2675[label="",style="solid", color="burlywood", weight=3];
29661[label="vvv2190/Zero",fontsize=10,color="white",style="solid",shape="box"];2612 -> 29661[label="",style="solid", color="burlywood", weight=9];
29661 -> 2676[label="",style="solid", color="burlywood", weight=3];
2613[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg (Succ vvv2270)) (Pos vvv1140)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2613 -> 2677[label="",style="solid", color="black", weight=3];
2614[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg (Succ vvv2270)) (Neg vvv1140)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29662[label="vvv1140/Succ vvv11400",fontsize=10,color="white",style="solid",shape="box"];2614 -> 29662[label="",style="solid", color="burlywood", weight=9];
29662 -> 2678[label="",style="solid", color="burlywood", weight=3];
29663[label="vvv1140/Zero",fontsize=10,color="white",style="solid",shape="box"];2614 -> 29663[label="",style="solid", color="burlywood", weight=9];
29663 -> 2679[label="",style="solid", color="burlywood", weight=3];
2615[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg Zero) (Pos vvv1140)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29664[label="vvv1140/Succ vvv11400",fontsize=10,color="white",style="solid",shape="box"];2615 -> 29664[label="",style="solid", color="burlywood", weight=9];
29664 -> 2680[label="",style="solid", color="burlywood", weight=3];
29665[label="vvv1140/Zero",fontsize=10,color="white",style="solid",shape="box"];2615 -> 29665[label="",style="solid", color="burlywood", weight=9];
29665 -> 2681[label="",style="solid", color="burlywood", weight=3];
2616[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg Zero) (Neg vvv1140)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29666[label="vvv1140/Succ vvv11400",fontsize=10,color="white",style="solid",shape="box"];2616 -> 29666[label="",style="solid", color="burlywood", weight=9];
29666 -> 2682[label="",style="solid", color="burlywood", weight=3];
29667[label="vvv1140/Zero",fontsize=10,color="white",style="solid",shape="box"];2616 -> 29667[label="",style="solid", color="burlywood", weight=9];
29667 -> 2683[label="",style="solid", color="burlywood", weight=3];
2617[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (Succ vvv2210)) (Pos (Succ vvv16300))) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2617 -> 2684[label="",style="solid", color="black", weight=3];
2618[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos (Succ vvv2210)) (Pos Zero)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2618 -> 2685[label="",style="solid", color="black", weight=3];
2619[label="primQuotInt (Pos vvv115) (gcd2 False (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2619 -> 2686[label="",style="solid", color="black", weight=3];
2620[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) (Pos (Succ vvv16300))) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2620 -> 2687[label="",style="solid", color="black", weight=3];
2621[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) (Pos Zero)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2621 -> 2688[label="",style="solid", color="black", weight=3];
2622[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) (Neg (Succ vvv16300))) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2622 -> 2689[label="",style="solid", color="black", weight=3];
2623[label="primQuotInt (Pos vvv115) (gcd2 (primEqInt (Pos Zero) (Neg Zero)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2623 -> 2690[label="",style="solid", color="black", weight=3];
2624[label="vvv2030",fontsize=16,color="green",shape="box"];2625[label="vvv1850",fontsize=16,color="green",shape="box"];2626[label="Succ vvv1850",fontsize=16,color="green",shape="box"];2627[label="Succ vvv1850",fontsize=16,color="green",shape="box"];2628[label="Succ vvv2030",fontsize=16,color="green",shape="box"];2629[label="vvv163",fontsize=16,color="green",shape="box"];2630[label="vvv116",fontsize=16,color="green",shape="box"];2631[label="vvv115",fontsize=16,color="green",shape="box"];2632[label="Succ vvv2030",fontsize=16,color="green",shape="box"];2633[label="Zero",fontsize=16,color="green",shape="box"];2634[label="Zero",fontsize=16,color="green",shape="box"];2635[label="vvv2050",fontsize=16,color="green",shape="box"];2636[label="vvv1890",fontsize=16,color="green",shape="box"];2637[label="Succ vvv2050",fontsize=16,color="green",shape="box"];2638[label="vvv108",fontsize=16,color="green",shape="box"];2639[label="Succ vvv2050",fontsize=16,color="green",shape="box"];2640[label="vvv46",fontsize=16,color="green",shape="box"];2641[label="vvv47",fontsize=16,color="green",shape="box"];2642[label="Succ vvv1890",fontsize=16,color="green",shape="box"];2643[label="Succ vvv1890",fontsize=16,color="green",shape="box"];2644[label="Zero",fontsize=16,color="green",shape="box"];2645[label="vvv108",fontsize=16,color="green",shape="box"];2646[label="Zero",fontsize=16,color="green",shape="box"];2647[label="vvv46",fontsize=16,color="green",shape="box"];2648[label="vvv47",fontsize=16,color="green",shape="box"];2649[label="primQuotInt (Neg vvv46) (gcd2 False (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2649 -> 2691[label="",style="solid", color="black", weight=3];
2650[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg (Succ vvv2230)) (Neg (Succ vvv10800))) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2650 -> 2692[label="",style="solid", color="black", weight=3];
2651[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg (Succ vvv2230)) (Neg Zero)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2651 -> 2693[label="",style="solid", color="black", weight=3];
2652[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg Zero) (Pos (Succ vvv10800))) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2652 -> 2694[label="",style="solid", color="black", weight=3];
2653[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg Zero) (Pos Zero)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2653 -> 2695[label="",style="solid", color="black", weight=3];
2654[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg Zero) (Neg (Succ vvv10800))) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2654 -> 2696[label="",style="solid", color="black", weight=3];
2655[label="primQuotInt (Neg vvv46) (gcd2 (primEqInt (Neg Zero) (Neg Zero)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2655 -> 2697[label="",style="solid", color="black", weight=3];
2656[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos (Succ vvv1950)) (Pos (Succ vvv21800))) (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="black",shape="box"];2656 -> 2698[label="",style="solid", color="black", weight=3];
2657[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos (Succ vvv1950)) (Pos Zero)) (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="black",shape="box"];2657 -> 2699[label="",style="solid", color="black", weight=3];
2658[label="primQuotInt (Pos vvv194) (gcd2 False (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2658 -> 2700[label="",style="solid", color="black", weight=3];
2659[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos Zero) (Pos (Succ vvv21800))) (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="box"];2659 -> 2701[label="",style="solid", color="black", weight=3];
2660[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="box"];2660 -> 2702[label="",style="solid", color="black", weight=3];
2661[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos Zero) (Neg (Succ vvv21800))) (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="box"];2661 -> 2703[label="",style="solid", color="black", weight=3];
2662[label="primQuotInt (Pos vvv194) (gcd2 (primEqInt (Pos Zero) (Neg Zero)) (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="box"];2662 -> 2704[label="",style="solid", color="black", weight=3];
2663[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos (Succ vvv2250)) (Pos (Succ vvv11100))) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2663 -> 2705[label="",style="solid", color="black", weight=3];
2664[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos (Succ vvv2250)) (Pos Zero)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2664 -> 2706[label="",style="solid", color="black", weight=3];
2665[label="primQuotInt (Neg vvv51) (gcd2 False (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2665 -> 2707[label="",style="solid", color="black", weight=3];
2666[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos Zero) (Pos (Succ vvv11100))) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2666 -> 2708[label="",style="solid", color="black", weight=3];
2667[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos Zero) (Pos Zero)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2667 -> 2709[label="",style="solid", color="black", weight=3];
2668[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos Zero) (Neg (Succ vvv11100))) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2668 -> 2710[label="",style="solid", color="black", weight=3];
2669[label="primQuotInt (Neg vvv51) (gcd2 (primEqInt (Pos Zero) (Neg Zero)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2669 -> 2711[label="",style="solid", color="black", weight=3];
2670[label="primQuotInt (Neg vvv198) (gcd2 False (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2670 -> 2712[label="",style="solid", color="black", weight=3];
2671[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg (Succ vvv1990)) (Neg (Succ vvv21900))) (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="black",shape="box"];2671 -> 2713[label="",style="solid", color="black", weight=3];
2672[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg (Succ vvv1990)) (Neg Zero)) (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="black",shape="box"];2672 -> 2714[label="",style="solid", color="black", weight=3];
2673[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg Zero) (Pos (Succ vvv21900))) (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="box"];2673 -> 2715[label="",style="solid", color="black", weight=3];
2674[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="box"];2674 -> 2716[label="",style="solid", color="black", weight=3];
2675[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg Zero) (Neg (Succ vvv21900))) (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="box"];2675 -> 2717[label="",style="solid", color="black", weight=3];
2676[label="primQuotInt (Neg vvv198) (gcd2 (primEqInt (Neg Zero) (Neg Zero)) (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="box"];2676 -> 2718[label="",style="solid", color="black", weight=3];
2677[label="primQuotInt (Pos vvv71) (gcd2 False (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2677 -> 2719[label="",style="solid", color="black", weight=3];
2678[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg (Succ vvv2270)) (Neg (Succ vvv11400))) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2678 -> 2720[label="",style="solid", color="black", weight=3];
2679[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg (Succ vvv2270)) (Neg Zero)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2679 -> 2721[label="",style="solid", color="black", weight=3];
2680[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg Zero) (Pos (Succ vvv11400))) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2680 -> 2722[label="",style="solid", color="black", weight=3];
2681[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg Zero) (Pos Zero)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2681 -> 2723[label="",style="solid", color="black", weight=3];
2682[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg Zero) (Neg (Succ vvv11400))) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2682 -> 2724[label="",style="solid", color="black", weight=3];
2683[label="primQuotInt (Pos vvv71) (gcd2 (primEqInt (Neg Zero) (Neg Zero)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2683 -> 2725[label="",style="solid", color="black", weight=3];
2684[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat vvv2210 vvv16300) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="triangle"];29668[label="vvv2210/Succ vvv22100",fontsize=10,color="white",style="solid",shape="box"];2684 -> 29668[label="",style="solid", color="burlywood", weight=9];
29668 -> 2726[label="",style="solid", color="burlywood", weight=3];
29669[label="vvv2210/Zero",fontsize=10,color="white",style="solid",shape="box"];2684 -> 29669[label="",style="solid", color="burlywood", weight=9];
29669 -> 2727[label="",style="solid", color="burlywood", weight=3];
2685 -> 2619[label="",style="dashed", color="red", weight=0];
2685[label="primQuotInt (Pos vvv115) (gcd2 False (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2686[label="primQuotInt (Pos vvv115) (gcd0 (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2686 -> 2728[label="",style="solid", color="black", weight=3];
2687 -> 2619[label="",style="dashed", color="red", weight=0];
2687[label="primQuotInt (Pos vvv115) (gcd2 False (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2688[label="primQuotInt (Pos vvv115) (gcd2 True (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2688 -> 2729[label="",style="solid", color="black", weight=3];
2689 -> 2619[label="",style="dashed", color="red", weight=0];
2689[label="primQuotInt (Pos vvv115) (gcd2 False (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2690 -> 2688[label="",style="dashed", color="red", weight=0];
2690[label="primQuotInt (Pos vvv115) (gcd2 True (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2691[label="primQuotInt (Neg vvv46) (gcd0 (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2691 -> 2730[label="",style="solid", color="black", weight=3];
2692[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat vvv2230 vvv10800) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="triangle"];29674[label="vvv2230/Succ vvv22300",fontsize=10,color="white",style="solid",shape="box"];2692 -> 29674[label="",style="solid", color="burlywood", weight=9];
29674 -> 2731[label="",style="solid", color="burlywood", weight=3];
29675[label="vvv2230/Zero",fontsize=10,color="white",style="solid",shape="box"];2692 -> 29675[label="",style="solid", color="burlywood", weight=9];
29675 -> 2732[label="",style="solid", color="burlywood", weight=3];
2693 -> 2649[label="",style="dashed", color="red", weight=0];
2693[label="primQuotInt (Neg vvv46) (gcd2 False (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2694 -> 2649[label="",style="dashed", color="red", weight=0];
2694[label="primQuotInt (Neg vvv46) (gcd2 False (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2695[label="primQuotInt (Neg vvv46) (gcd2 True (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2695 -> 2733[label="",style="solid", color="black", weight=3];
2696 -> 2649[label="",style="dashed", color="red", weight=0];
2696[label="primQuotInt (Neg vvv46) (gcd2 False (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2697 -> 2695[label="",style="dashed", color="red", weight=0];
2697[label="primQuotInt (Neg vvv46) (gcd2 True (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2698 -> 5191[label="",style="dashed", color="red", weight=0];
2698[label="primQuotInt (Pos vvv194) (gcd2 (primEqNat vvv1950 vvv21800) (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="magenta"];2698 -> 5192[label="",style="dashed", color="magenta", weight=3];
2698 -> 5193[label="",style="dashed", color="magenta", weight=3];
2698 -> 5194[label="",style="dashed", color="magenta", weight=3];
2698 -> 5195[label="",style="dashed", color="magenta", weight=3];
2698 -> 5196[label="",style="dashed", color="magenta", weight=3];
2699 -> 2658[label="",style="dashed", color="red", weight=0];
2699[label="primQuotInt (Pos vvv194) (gcd2 False (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="magenta"];2700[label="primQuotInt (Pos vvv194) (gcd0 (Pos (Succ vvv1950)) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2700 -> 2736[label="",style="solid", color="black", weight=3];
2701[label="primQuotInt (Pos vvv194) (gcd2 False (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2701 -> 2737[label="",style="solid", color="black", weight=3];
2702[label="primQuotInt (Pos vvv194) (gcd2 True (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2702 -> 2738[label="",style="solid", color="black", weight=3];
2703 -> 2701[label="",style="dashed", color="red", weight=0];
2703[label="primQuotInt (Pos vvv194) (gcd2 False (Pos Zero) (Neg vvv52))",fontsize=16,color="magenta"];2704 -> 2702[label="",style="dashed", color="red", weight=0];
2704[label="primQuotInt (Pos vvv194) (gcd2 True (Pos Zero) (Neg vvv52))",fontsize=16,color="magenta"];2705[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat vvv2250 vvv11100) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="triangle"];29684[label="vvv2250/Succ vvv22500",fontsize=10,color="white",style="solid",shape="box"];2705 -> 29684[label="",style="solid", color="burlywood", weight=9];
29684 -> 2739[label="",style="solid", color="burlywood", weight=3];
29685[label="vvv2250/Zero",fontsize=10,color="white",style="solid",shape="box"];2705 -> 29685[label="",style="solid", color="burlywood", weight=9];
29685 -> 2740[label="",style="solid", color="burlywood", weight=3];
2706 -> 2665[label="",style="dashed", color="red", weight=0];
2706[label="primQuotInt (Neg vvv51) (gcd2 False (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2707[label="primQuotInt (Neg vvv51) (gcd0 (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2707 -> 2741[label="",style="solid", color="black", weight=3];
2708 -> 2665[label="",style="dashed", color="red", weight=0];
2708[label="primQuotInt (Neg vvv51) (gcd2 False (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2709[label="primQuotInt (Neg vvv51) (gcd2 True (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2709 -> 2742[label="",style="solid", color="black", weight=3];
2710 -> 2665[label="",style="dashed", color="red", weight=0];
2710[label="primQuotInt (Neg vvv51) (gcd2 False (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2711 -> 2709[label="",style="dashed", color="red", weight=0];
2711[label="primQuotInt (Neg vvv51) (gcd2 True (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2712[label="primQuotInt (Neg vvv198) (gcd0 (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2712 -> 2743[label="",style="solid", color="black", weight=3];
2713 -> 5312[label="",style="dashed", color="red", weight=0];
2713[label="primQuotInt (Neg vvv198) (gcd2 (primEqNat vvv1990 vvv21900) (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="magenta"];2713 -> 5313[label="",style="dashed", color="magenta", weight=3];
2713 -> 5314[label="",style="dashed", color="magenta", weight=3];
2713 -> 5315[label="",style="dashed", color="magenta", weight=3];
2713 -> 5316[label="",style="dashed", color="magenta", weight=3];
2713 -> 5317[label="",style="dashed", color="magenta", weight=3];
2714 -> 2670[label="",style="dashed", color="red", weight=0];
2714[label="primQuotInt (Neg vvv198) (gcd2 False (Neg (Succ vvv1990)) (Pos vvv72))",fontsize=16,color="magenta"];2715[label="primQuotInt (Neg vvv198) (gcd2 False (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2715 -> 2746[label="",style="solid", color="black", weight=3];
2716[label="primQuotInt (Neg vvv198) (gcd2 True (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2716 -> 2747[label="",style="solid", color="black", weight=3];
2717 -> 2715[label="",style="dashed", color="red", weight=0];
2717[label="primQuotInt (Neg vvv198) (gcd2 False (Neg Zero) (Pos vvv72))",fontsize=16,color="magenta"];2718 -> 2716[label="",style="dashed", color="red", weight=0];
2718[label="primQuotInt (Neg vvv198) (gcd2 True (Neg Zero) (Pos vvv72))",fontsize=16,color="magenta"];2719[label="primQuotInt (Pos vvv71) (gcd0 (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2719 -> 2748[label="",style="solid", color="black", weight=3];
2720[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat vvv2270 vvv11400) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="triangle"];29694[label="vvv2270/Succ vvv22700",fontsize=10,color="white",style="solid",shape="box"];2720 -> 29694[label="",style="solid", color="burlywood", weight=9];
29694 -> 2749[label="",style="solid", color="burlywood", weight=3];
29695[label="vvv2270/Zero",fontsize=10,color="white",style="solid",shape="box"];2720 -> 29695[label="",style="solid", color="burlywood", weight=9];
29695 -> 2750[label="",style="solid", color="burlywood", weight=3];
2721 -> 2677[label="",style="dashed", color="red", weight=0];
2721[label="primQuotInt (Pos vvv71) (gcd2 False (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2722 -> 2677[label="",style="dashed", color="red", weight=0];
2722[label="primQuotInt (Pos vvv71) (gcd2 False (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2723[label="primQuotInt (Pos vvv71) (gcd2 True (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2723 -> 2751[label="",style="solid", color="black", weight=3];
2724 -> 2677[label="",style="dashed", color="red", weight=0];
2724[label="primQuotInt (Pos vvv71) (gcd2 False (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2725 -> 2723[label="",style="dashed", color="red", weight=0];
2725[label="primQuotInt (Pos vvv71) (gcd2 True (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2726[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat (Succ vvv22100) vvv16300) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29700[label="vvv16300/Succ vvv163000",fontsize=10,color="white",style="solid",shape="box"];2726 -> 29700[label="",style="solid", color="burlywood", weight=9];
29700 -> 2752[label="",style="solid", color="burlywood", weight=3];
29701[label="vvv16300/Zero",fontsize=10,color="white",style="solid",shape="box"];2726 -> 29701[label="",style="solid", color="burlywood", weight=9];
29701 -> 2753[label="",style="solid", color="burlywood", weight=3];
2727[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat Zero vvv16300) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29702[label="vvv16300/Succ vvv163000",fontsize=10,color="white",style="solid",shape="box"];2727 -> 29702[label="",style="solid", color="burlywood", weight=9];
29702 -> 2754[label="",style="solid", color="burlywood", weight=3];
29703[label="vvv16300/Zero",fontsize=10,color="white",style="solid",shape="box"];2727 -> 29703[label="",style="solid", color="burlywood", weight=9];
29703 -> 2755[label="",style="solid", color="burlywood", weight=3];
2728[label="primQuotInt (Pos vvv115) (gcd0Gcd' (abs (Pos vvv220)) (abs (Pos vvv116)))",fontsize=16,color="black",shape="box"];2728 -> 2756[label="",style="solid", color="black", weight=3];
2729 -> 2757[label="",style="dashed", color="red", weight=0];
2729[label="primQuotInt (Pos vvv115) (gcd1 (Pos vvv116 == fromInt (Pos Zero)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2729 -> 2758[label="",style="dashed", color="magenta", weight=3];
2730[label="primQuotInt (Neg vvv46) (gcd0Gcd' (abs (Neg vvv222)) (abs (Neg vvv47)))",fontsize=16,color="black",shape="box"];2730 -> 2759[label="",style="solid", color="black", weight=3];
2731[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat (Succ vvv22300) vvv10800) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29705[label="vvv10800/Succ vvv108000",fontsize=10,color="white",style="solid",shape="box"];2731 -> 29705[label="",style="solid", color="burlywood", weight=9];
29705 -> 2760[label="",style="solid", color="burlywood", weight=3];
29706[label="vvv10800/Zero",fontsize=10,color="white",style="solid",shape="box"];2731 -> 29706[label="",style="solid", color="burlywood", weight=9];
29706 -> 2761[label="",style="solid", color="burlywood", weight=3];
2732[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat Zero vvv10800) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29707[label="vvv10800/Succ vvv108000",fontsize=10,color="white",style="solid",shape="box"];2732 -> 29707[label="",style="solid", color="burlywood", weight=9];
29707 -> 2762[label="",style="solid", color="burlywood", weight=3];
29708[label="vvv10800/Zero",fontsize=10,color="white",style="solid",shape="box"];2732 -> 29708[label="",style="solid", color="burlywood", weight=9];
29708 -> 2763[label="",style="solid", color="burlywood", weight=3];
2733 -> 2764[label="",style="dashed", color="red", weight=0];
2733[label="primQuotInt (Neg vvv46) (gcd1 (Neg vvv47 == fromInt (Pos Zero)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2733 -> 2765[label="",style="dashed", color="magenta", weight=3];
5192[label="vvv21800",fontsize=16,color="green",shape="box"];5193[label="vvv194",fontsize=16,color="green",shape="box"];5194[label="vvv1950",fontsize=16,color="green",shape="box"];5195[label="vvv1950",fontsize=16,color="green",shape="box"];5196[label="vvv52",fontsize=16,color="green",shape="box"];5191[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat vvv275 vvv276) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="burlywood",shape="triangle"];29710[label="vvv275/Succ vvv2750",fontsize=10,color="white",style="solid",shape="box"];5191 -> 29710[label="",style="solid", color="burlywood", weight=9];
29710 -> 5237[label="",style="solid", color="burlywood", weight=3];
29711[label="vvv275/Zero",fontsize=10,color="white",style="solid",shape="box"];5191 -> 29711[label="",style="solid", color="burlywood", weight=9];
29711 -> 5238[label="",style="solid", color="burlywood", weight=3];
2736[label="primQuotInt (Pos vvv194) (gcd0Gcd' (abs (Pos (Succ vvv1950))) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2736 -> 2770[label="",style="solid", color="black", weight=3];
2737[label="primQuotInt (Pos vvv194) (gcd0 (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2737 -> 2771[label="",style="solid", color="black", weight=3];
2738 -> 2772[label="",style="dashed", color="red", weight=0];
2738[label="primQuotInt (Pos vvv194) (gcd1 (Neg vvv52 == fromInt (Pos Zero)) (Pos Zero) (Neg vvv52))",fontsize=16,color="magenta"];2738 -> 2773[label="",style="dashed", color="magenta", weight=3];
2739[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat (Succ vvv22500) vvv11100) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29713[label="vvv11100/Succ vvv111000",fontsize=10,color="white",style="solid",shape="box"];2739 -> 29713[label="",style="solid", color="burlywood", weight=9];
29713 -> 2774[label="",style="solid", color="burlywood", weight=3];
29714[label="vvv11100/Zero",fontsize=10,color="white",style="solid",shape="box"];2739 -> 29714[label="",style="solid", color="burlywood", weight=9];
29714 -> 2775[label="",style="solid", color="burlywood", weight=3];
2740[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat Zero vvv11100) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29715[label="vvv11100/Succ vvv111000",fontsize=10,color="white",style="solid",shape="box"];2740 -> 29715[label="",style="solid", color="burlywood", weight=9];
29715 -> 2776[label="",style="solid", color="burlywood", weight=3];
29716[label="vvv11100/Zero",fontsize=10,color="white",style="solid",shape="box"];2740 -> 29716[label="",style="solid", color="burlywood", weight=9];
29716 -> 2777[label="",style="solid", color="burlywood", weight=3];
2741[label="primQuotInt (Neg vvv51) (gcd0Gcd' (abs (Pos vvv224)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2741 -> 2778[label="",style="solid", color="black", weight=3];
2742 -> 2779[label="",style="dashed", color="red", weight=0];
2742[label="primQuotInt (Neg vvv51) (gcd1 (Neg vvv52 == fromInt (Pos Zero)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2742 -> 2780[label="",style="dashed", color="magenta", weight=3];
2743[label="primQuotInt (Neg vvv198) (gcd0Gcd' (abs (Neg (Succ vvv1990))) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2743 -> 2781[label="",style="solid", color="black", weight=3];
5313[label="vvv198",fontsize=16,color="green",shape="box"];5314[label="vvv21900",fontsize=16,color="green",shape="box"];5315[label="vvv1990",fontsize=16,color="green",shape="box"];5316[label="vvv1990",fontsize=16,color="green",shape="box"];5317[label="vvv72",fontsize=16,color="green",shape="box"];5312[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat vvv282 vvv283) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="burlywood",shape="triangle"];29718[label="vvv282/Succ vvv2820",fontsize=10,color="white",style="solid",shape="box"];5312 -> 29718[label="",style="solid", color="burlywood", weight=9];
29718 -> 5358[label="",style="solid", color="burlywood", weight=3];
29719[label="vvv282/Zero",fontsize=10,color="white",style="solid",shape="box"];5312 -> 29719[label="",style="solid", color="burlywood", weight=9];
29719 -> 5359[label="",style="solid", color="burlywood", weight=3];
2746[label="primQuotInt (Neg vvv198) (gcd0 (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2746 -> 2786[label="",style="solid", color="black", weight=3];
2747 -> 2787[label="",style="dashed", color="red", weight=0];
2747[label="primQuotInt (Neg vvv198) (gcd1 (Pos vvv72 == fromInt (Pos Zero)) (Neg Zero) (Pos vvv72))",fontsize=16,color="magenta"];2747 -> 2788[label="",style="dashed", color="magenta", weight=3];
2748[label="primQuotInt (Pos vvv71) (gcd0Gcd' (abs (Neg vvv226)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2748 -> 2789[label="",style="solid", color="black", weight=3];
2749[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat (Succ vvv22700) vvv11400) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29721[label="vvv11400/Succ vvv114000",fontsize=10,color="white",style="solid",shape="box"];2749 -> 29721[label="",style="solid", color="burlywood", weight=9];
29721 -> 2790[label="",style="solid", color="burlywood", weight=3];
29722[label="vvv11400/Zero",fontsize=10,color="white",style="solid",shape="box"];2749 -> 29722[label="",style="solid", color="burlywood", weight=9];
29722 -> 2791[label="",style="solid", color="burlywood", weight=3];
2750[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat Zero vvv11400) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29723[label="vvv11400/Succ vvv114000",fontsize=10,color="white",style="solid",shape="box"];2750 -> 29723[label="",style="solid", color="burlywood", weight=9];
29723 -> 2792[label="",style="solid", color="burlywood", weight=3];
29724[label="vvv11400/Zero",fontsize=10,color="white",style="solid",shape="box"];2750 -> 29724[label="",style="solid", color="burlywood", weight=9];
29724 -> 2793[label="",style="solid", color="burlywood", weight=3];
2751 -> 2794[label="",style="dashed", color="red", weight=0];
2751[label="primQuotInt (Pos vvv71) (gcd1 (Pos vvv72 == fromInt (Pos Zero)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2751 -> 2795[label="",style="dashed", color="magenta", weight=3];
2752[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat (Succ vvv22100) (Succ vvv163000)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2752 -> 2796[label="",style="solid", color="black", weight=3];
2753[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat (Succ vvv22100) Zero) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2753 -> 2797[label="",style="solid", color="black", weight=3];
2754[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat Zero (Succ vvv163000)) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2754 -> 2798[label="",style="solid", color="black", weight=3];
2755[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat Zero Zero) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="box"];2755 -> 2799[label="",style="solid", color="black", weight=3];
2756[label="primQuotInt (Pos vvv115) (gcd0Gcd'2 (abs (Pos vvv220)) (abs (Pos vvv116)))",fontsize=16,color="black",shape="box"];2756 -> 2800[label="",style="solid", color="black", weight=3];
2758 -> 15[label="",style="dashed", color="red", weight=0];
2758[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2757[label="primQuotInt (Pos vvv115) (gcd1 (Pos vvv116 == vvv228) (Pos vvv220) (Pos vvv116))",fontsize=16,color="black",shape="triangle"];2757 -> 2801[label="",style="solid", color="black", weight=3];
2759[label="primQuotInt (Neg vvv46) (gcd0Gcd'2 (abs (Neg vvv222)) (abs (Neg vvv47)))",fontsize=16,color="black",shape="box"];2759 -> 2802[label="",style="solid", color="black", weight=3];
2760[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat (Succ vvv22300) (Succ vvv108000)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2760 -> 2803[label="",style="solid", color="black", weight=3];
2761[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat (Succ vvv22300) Zero) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2761 -> 2804[label="",style="solid", color="black", weight=3];
2762[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat Zero (Succ vvv108000)) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2762 -> 2805[label="",style="solid", color="black", weight=3];
2763[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat Zero Zero) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="box"];2763 -> 2806[label="",style="solid", color="black", weight=3];
2765 -> 15[label="",style="dashed", color="red", weight=0];
2765[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2764[label="primQuotInt (Neg vvv46) (gcd1 (Neg vvv47 == vvv229) (Neg vvv222) (Neg vvv47))",fontsize=16,color="black",shape="triangle"];2764 -> 2807[label="",style="solid", color="black", weight=3];
5237[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat (Succ vvv2750) vvv276) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="burlywood",shape="box"];29728[label="vvv276/Succ vvv2760",fontsize=10,color="white",style="solid",shape="box"];5237 -> 29728[label="",style="solid", color="burlywood", weight=9];
29728 -> 5304[label="",style="solid", color="burlywood", weight=3];
29729[label="vvv276/Zero",fontsize=10,color="white",style="solid",shape="box"];5237 -> 29729[label="",style="solid", color="burlywood", weight=9];
29729 -> 5305[label="",style="solid", color="burlywood", weight=3];
5238[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat Zero vvv276) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="burlywood",shape="box"];29730[label="vvv276/Succ vvv2760",fontsize=10,color="white",style="solid",shape="box"];5238 -> 29730[label="",style="solid", color="burlywood", weight=9];
29730 -> 5306[label="",style="solid", color="burlywood", weight=3];
29731[label="vvv276/Zero",fontsize=10,color="white",style="solid",shape="box"];5238 -> 29731[label="",style="solid", color="burlywood", weight=9];
29731 -> 5307[label="",style="solid", color="burlywood", weight=3];
2770[label="primQuotInt (Pos vvv194) (gcd0Gcd'2 (abs (Pos (Succ vvv1950))) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2770 -> 2812[label="",style="solid", color="black", weight=3];
2771[label="primQuotInt (Pos vvv194) (gcd0Gcd' (abs (Pos Zero)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2771 -> 2813[label="",style="solid", color="black", weight=3];
2773 -> 15[label="",style="dashed", color="red", weight=0];
2773[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2772[label="primQuotInt (Pos vvv194) (gcd1 (Neg vvv52 == vvv230) (Pos Zero) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2772 -> 2814[label="",style="solid", color="black", weight=3];
2774[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat (Succ vvv22500) (Succ vvv111000)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2774 -> 2815[label="",style="solid", color="black", weight=3];
2775[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat (Succ vvv22500) Zero) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2775 -> 2816[label="",style="solid", color="black", weight=3];
2776[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat Zero (Succ vvv111000)) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2776 -> 2817[label="",style="solid", color="black", weight=3];
2777[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat Zero Zero) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="box"];2777 -> 2818[label="",style="solid", color="black", weight=3];
2778[label="primQuotInt (Neg vvv51) (gcd0Gcd'2 (abs (Pos vvv224)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2778 -> 2819[label="",style="solid", color="black", weight=3];
2780 -> 15[label="",style="dashed", color="red", weight=0];
2780[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2779[label="primQuotInt (Neg vvv51) (gcd1 (Neg vvv52 == vvv231) (Pos vvv224) (Neg vvv52))",fontsize=16,color="black",shape="triangle"];2779 -> 2820[label="",style="solid", color="black", weight=3];
2781[label="primQuotInt (Neg vvv198) (gcd0Gcd'2 (abs (Neg (Succ vvv1990))) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2781 -> 2821[label="",style="solid", color="black", weight=3];
5358[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat (Succ vvv2820) vvv283) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="burlywood",shape="box"];29734[label="vvv283/Succ vvv2830",fontsize=10,color="white",style="solid",shape="box"];5358 -> 29734[label="",style="solid", color="burlywood", weight=9];
29734 -> 5397[label="",style="solid", color="burlywood", weight=3];
29735[label="vvv283/Zero",fontsize=10,color="white",style="solid",shape="box"];5358 -> 29735[label="",style="solid", color="burlywood", weight=9];
29735 -> 5398[label="",style="solid", color="burlywood", weight=3];
5359[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat Zero vvv283) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="burlywood",shape="box"];29736[label="vvv283/Succ vvv2830",fontsize=10,color="white",style="solid",shape="box"];5359 -> 29736[label="",style="solid", color="burlywood", weight=9];
29736 -> 5399[label="",style="solid", color="burlywood", weight=3];
29737[label="vvv283/Zero",fontsize=10,color="white",style="solid",shape="box"];5359 -> 29737[label="",style="solid", color="burlywood", weight=9];
29737 -> 5400[label="",style="solid", color="burlywood", weight=3];
2786[label="primQuotInt (Neg vvv198) (gcd0Gcd' (abs (Neg Zero)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2786 -> 2826[label="",style="solid", color="black", weight=3];
2788 -> 15[label="",style="dashed", color="red", weight=0];
2788[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2787[label="primQuotInt (Neg vvv198) (gcd1 (Pos vvv72 == vvv232) (Neg Zero) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2787 -> 2827[label="",style="solid", color="black", weight=3];
2789[label="primQuotInt (Pos vvv71) (gcd0Gcd'2 (abs (Neg vvv226)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2789 -> 2828[label="",style="solid", color="black", weight=3];
2790[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat (Succ vvv22700) (Succ vvv114000)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2790 -> 2829[label="",style="solid", color="black", weight=3];
2791[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat (Succ vvv22700) Zero) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2791 -> 2830[label="",style="solid", color="black", weight=3];
2792[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat Zero (Succ vvv114000)) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2792 -> 2831[label="",style="solid", color="black", weight=3];
2793[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat Zero Zero) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="box"];2793 -> 2832[label="",style="solid", color="black", weight=3];
2795 -> 15[label="",style="dashed", color="red", weight=0];
2795[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2794[label="primQuotInt (Pos vvv71) (gcd1 (Pos vvv72 == vvv233) (Neg vvv226) (Pos vvv72))",fontsize=16,color="black",shape="triangle"];2794 -> 2833[label="",style="solid", color="black", weight=3];
2796 -> 2684[label="",style="dashed", color="red", weight=0];
2796[label="primQuotInt (Pos vvv115) (gcd2 (primEqNat vvv22100 vvv163000) (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2796 -> 2834[label="",style="dashed", color="magenta", weight=3];
2796 -> 2835[label="",style="dashed", color="magenta", weight=3];
2797 -> 2619[label="",style="dashed", color="red", weight=0];
2797[label="primQuotInt (Pos vvv115) (gcd2 False (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2798 -> 2619[label="",style="dashed", color="red", weight=0];
2798[label="primQuotInt (Pos vvv115) (gcd2 False (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2799 -> 2688[label="",style="dashed", color="red", weight=0];
2799[label="primQuotInt (Pos vvv115) (gcd2 True (Pos vvv220) (Pos vvv116))",fontsize=16,color="magenta"];2800 -> 2836[label="",style="dashed", color="red", weight=0];
2800[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (abs (Pos vvv116) == fromInt (Pos Zero)) (abs (Pos vvv220)) (abs (Pos vvv116)))",fontsize=16,color="magenta"];2800 -> 2837[label="",style="dashed", color="magenta", weight=3];
2801[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos vvv116) vvv228) (Pos vvv220) (Pos vvv116))",fontsize=16,color="burlywood",shape="box"];29745[label="vvv116/Succ vvv1160",fontsize=10,color="white",style="solid",shape="box"];2801 -> 29745[label="",style="solid", color="burlywood", weight=9];
29745 -> 2838[label="",style="solid", color="burlywood", weight=3];
29746[label="vvv116/Zero",fontsize=10,color="white",style="solid",shape="box"];2801 -> 29746[label="",style="solid", color="burlywood", weight=9];
29746 -> 2839[label="",style="solid", color="burlywood", weight=3];
2802 -> 2840[label="",style="dashed", color="red", weight=0];
2802[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (abs (Neg vvv47) == fromInt (Pos Zero)) (abs (Neg vvv222)) (abs (Neg vvv47)))",fontsize=16,color="magenta"];2802 -> 2841[label="",style="dashed", color="magenta", weight=3];
2803 -> 2692[label="",style="dashed", color="red", weight=0];
2803[label="primQuotInt (Neg vvv46) (gcd2 (primEqNat vvv22300 vvv108000) (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2803 -> 2842[label="",style="dashed", color="magenta", weight=3];
2803 -> 2843[label="",style="dashed", color="magenta", weight=3];
2804 -> 2649[label="",style="dashed", color="red", weight=0];
2804[label="primQuotInt (Neg vvv46) (gcd2 False (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2805 -> 2649[label="",style="dashed", color="red", weight=0];
2805[label="primQuotInt (Neg vvv46) (gcd2 False (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2806 -> 2695[label="",style="dashed", color="red", weight=0];
2806[label="primQuotInt (Neg vvv46) (gcd2 True (Neg vvv222) (Neg vvv47))",fontsize=16,color="magenta"];2807[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg vvv47) vvv229) (Neg vvv222) (Neg vvv47))",fontsize=16,color="burlywood",shape="box"];29752[label="vvv47/Succ vvv470",fontsize=10,color="white",style="solid",shape="box"];2807 -> 29752[label="",style="solid", color="burlywood", weight=9];
29752 -> 2844[label="",style="solid", color="burlywood", weight=3];
29753[label="vvv47/Zero",fontsize=10,color="white",style="solid",shape="box"];2807 -> 29753[label="",style="solid", color="burlywood", weight=9];
29753 -> 2845[label="",style="solid", color="burlywood", weight=3];
5304[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat (Succ vvv2750) (Succ vvv2760)) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="black",shape="box"];5304 -> 5360[label="",style="solid", color="black", weight=3];
5305[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat (Succ vvv2750) Zero) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="black",shape="box"];5305 -> 5361[label="",style="solid", color="black", weight=3];
5306[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat Zero (Succ vvv2760)) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="black",shape="box"];5306 -> 5362[label="",style="solid", color="black", weight=3];
5307[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat Zero Zero) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="black",shape="box"];5307 -> 5363[label="",style="solid", color="black", weight=3];
2812 -> 2851[label="",style="dashed", color="red", weight=0];
2812[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (abs (Neg vvv52) == fromInt (Pos Zero)) (abs (Pos (Succ vvv1950))) (abs (Neg vvv52)))",fontsize=16,color="magenta"];2812 -> 2852[label="",style="dashed", color="magenta", weight=3];
2813[label="primQuotInt (Pos vvv194) (gcd0Gcd'2 (abs (Pos Zero)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2813 -> 2853[label="",style="solid", color="black", weight=3];
2814[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg vvv52) vvv230) (Pos Zero) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29755[label="vvv52/Succ vvv520",fontsize=10,color="white",style="solid",shape="box"];2814 -> 29755[label="",style="solid", color="burlywood", weight=9];
29755 -> 2854[label="",style="solid", color="burlywood", weight=3];
29756[label="vvv52/Zero",fontsize=10,color="white",style="solid",shape="box"];2814 -> 29756[label="",style="solid", color="burlywood", weight=9];
29756 -> 2855[label="",style="solid", color="burlywood", weight=3];
2815 -> 2705[label="",style="dashed", color="red", weight=0];
2815[label="primQuotInt (Neg vvv51) (gcd2 (primEqNat vvv22500 vvv111000) (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2815 -> 2856[label="",style="dashed", color="magenta", weight=3];
2815 -> 2857[label="",style="dashed", color="magenta", weight=3];
2816 -> 2665[label="",style="dashed", color="red", weight=0];
2816[label="primQuotInt (Neg vvv51) (gcd2 False (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2817 -> 2665[label="",style="dashed", color="red", weight=0];
2817[label="primQuotInt (Neg vvv51) (gcd2 False (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2818 -> 2709[label="",style="dashed", color="red", weight=0];
2818[label="primQuotInt (Neg vvv51) (gcd2 True (Pos vvv224) (Neg vvv52))",fontsize=16,color="magenta"];2819 -> 2858[label="",style="dashed", color="red", weight=0];
2819[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (abs (Neg vvv52) == fromInt (Pos Zero)) (abs (Pos vvv224)) (abs (Neg vvv52)))",fontsize=16,color="magenta"];2819 -> 2859[label="",style="dashed", color="magenta", weight=3];
2820[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg vvv52) vvv231) (Pos vvv224) (Neg vvv52))",fontsize=16,color="burlywood",shape="box"];29762[label="vvv52/Succ vvv520",fontsize=10,color="white",style="solid",shape="box"];2820 -> 29762[label="",style="solid", color="burlywood", weight=9];
29762 -> 2860[label="",style="solid", color="burlywood", weight=3];
29763[label="vvv52/Zero",fontsize=10,color="white",style="solid",shape="box"];2820 -> 29763[label="",style="solid", color="burlywood", weight=9];
29763 -> 2861[label="",style="solid", color="burlywood", weight=3];
2821 -> 2862[label="",style="dashed", color="red", weight=0];
2821[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (abs (Pos vvv72) == fromInt (Pos Zero)) (abs (Neg (Succ vvv1990))) (abs (Pos vvv72)))",fontsize=16,color="magenta"];2821 -> 2863[label="",style="dashed", color="magenta", weight=3];
5397[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat (Succ vvv2820) (Succ vvv2830)) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="black",shape="box"];5397 -> 5539[label="",style="solid", color="black", weight=3];
5398[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat (Succ vvv2820) Zero) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="black",shape="box"];5398 -> 5540[label="",style="solid", color="black", weight=3];
5399[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat Zero (Succ vvv2830)) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="black",shape="box"];5399 -> 5541[label="",style="solid", color="black", weight=3];
5400[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat Zero Zero) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="black",shape="box"];5400 -> 5542[label="",style="solid", color="black", weight=3];
2826[label="primQuotInt (Neg vvv198) (gcd0Gcd'2 (abs (Neg Zero)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2826 -> 2869[label="",style="solid", color="black", weight=3];
2827[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos vvv72) vvv232) (Neg Zero) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29765[label="vvv72/Succ vvv720",fontsize=10,color="white",style="solid",shape="box"];2827 -> 29765[label="",style="solid", color="burlywood", weight=9];
29765 -> 2870[label="",style="solid", color="burlywood", weight=3];
29766[label="vvv72/Zero",fontsize=10,color="white",style="solid",shape="box"];2827 -> 29766[label="",style="solid", color="burlywood", weight=9];
29766 -> 2871[label="",style="solid", color="burlywood", weight=3];
2828 -> 2872[label="",style="dashed", color="red", weight=0];
2828[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (abs (Pos vvv72) == fromInt (Pos Zero)) (abs (Neg vvv226)) (abs (Pos vvv72)))",fontsize=16,color="magenta"];2828 -> 2873[label="",style="dashed", color="magenta", weight=3];
2829 -> 2720[label="",style="dashed", color="red", weight=0];
2829[label="primQuotInt (Pos vvv71) (gcd2 (primEqNat vvv22700 vvv114000) (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2829 -> 2874[label="",style="dashed", color="magenta", weight=3];
2829 -> 2875[label="",style="dashed", color="magenta", weight=3];
2830 -> 2677[label="",style="dashed", color="red", weight=0];
2830[label="primQuotInt (Pos vvv71) (gcd2 False (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2831 -> 2677[label="",style="dashed", color="red", weight=0];
2831[label="primQuotInt (Pos vvv71) (gcd2 False (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2832 -> 2723[label="",style="dashed", color="red", weight=0];
2832[label="primQuotInt (Pos vvv71) (gcd2 True (Neg vvv226) (Pos vvv72))",fontsize=16,color="magenta"];2833[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos vvv72) vvv233) (Neg vvv226) (Pos vvv72))",fontsize=16,color="burlywood",shape="box"];29772[label="vvv72/Succ vvv720",fontsize=10,color="white",style="solid",shape="box"];2833 -> 29772[label="",style="solid", color="burlywood", weight=9];
29772 -> 2876[label="",style="solid", color="burlywood", weight=3];
29773[label="vvv72/Zero",fontsize=10,color="white",style="solid",shape="box"];2833 -> 29773[label="",style="solid", color="burlywood", weight=9];
29773 -> 2877[label="",style="solid", color="burlywood", weight=3];
2834[label="vvv22100",fontsize=16,color="green",shape="box"];2835[label="vvv163000",fontsize=16,color="green",shape="box"];2837 -> 15[label="",style="dashed", color="red", weight=0];
2837[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2836[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (abs (Pos vvv116) == vvv234) (abs (Pos vvv220)) (abs (Pos vvv116)))",fontsize=16,color="black",shape="triangle"];2836 -> 2878[label="",style="solid", color="black", weight=3];
2838[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos (Succ vvv1160)) vvv228) (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="burlywood",shape="box"];29775[label="vvv228/Pos vvv2280",fontsize=10,color="white",style="solid",shape="box"];2838 -> 29775[label="",style="solid", color="burlywood", weight=9];
29775 -> 2879[label="",style="solid", color="burlywood", weight=3];
29776[label="vvv228/Neg vvv2280",fontsize=10,color="white",style="solid",shape="box"];2838 -> 29776[label="",style="solid", color="burlywood", weight=9];
29776 -> 2880[label="",style="solid", color="burlywood", weight=3];
2839[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos Zero) vvv228) (Pos vvv220) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29777[label="vvv228/Pos vvv2280",fontsize=10,color="white",style="solid",shape="box"];2839 -> 29777[label="",style="solid", color="burlywood", weight=9];
29777 -> 2881[label="",style="solid", color="burlywood", weight=3];
29778[label="vvv228/Neg vvv2280",fontsize=10,color="white",style="solid",shape="box"];2839 -> 29778[label="",style="solid", color="burlywood", weight=9];
29778 -> 2882[label="",style="solid", color="burlywood", weight=3];
2841 -> 15[label="",style="dashed", color="red", weight=0];
2841[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2840[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (abs (Neg vvv47) == vvv235) (abs (Neg vvv222)) (abs (Neg vvv47)))",fontsize=16,color="black",shape="triangle"];2840 -> 2883[label="",style="solid", color="black", weight=3];
2842[label="vvv22300",fontsize=16,color="green",shape="box"];2843[label="vvv108000",fontsize=16,color="green",shape="box"];2844[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg (Succ vvv470)) vvv229) (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="burlywood",shape="box"];29780[label="vvv229/Pos vvv2290",fontsize=10,color="white",style="solid",shape="box"];2844 -> 29780[label="",style="solid", color="burlywood", weight=9];
29780 -> 2884[label="",style="solid", color="burlywood", weight=3];
29781[label="vvv229/Neg vvv2290",fontsize=10,color="white",style="solid",shape="box"];2844 -> 29781[label="",style="solid", color="burlywood", weight=9];
29781 -> 2885[label="",style="solid", color="burlywood", weight=3];
2845[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg Zero) vvv229) (Neg vvv222) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29782[label="vvv229/Pos vvv2290",fontsize=10,color="white",style="solid",shape="box"];2845 -> 29782[label="",style="solid", color="burlywood", weight=9];
29782 -> 2886[label="",style="solid", color="burlywood", weight=3];
29783[label="vvv229/Neg vvv2290",fontsize=10,color="white",style="solid",shape="box"];2845 -> 29783[label="",style="solid", color="burlywood", weight=9];
29783 -> 2887[label="",style="solid", color="burlywood", weight=3];
5360 -> 5191[label="",style="dashed", color="red", weight=0];
5360[label="primQuotInt (Pos vvv274) (gcd2 (primEqNat vvv2750 vvv2760) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="magenta"];5360 -> 5401[label="",style="dashed", color="magenta", weight=3];
5360 -> 5402[label="",style="dashed", color="magenta", weight=3];
5361 -> 2658[label="",style="dashed", color="red", weight=0];
5361[label="primQuotInt (Pos vvv274) (gcd2 False (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="magenta"];5361 -> 5403[label="",style="dashed", color="magenta", weight=3];
5361 -> 5404[label="",style="dashed", color="magenta", weight=3];
5361 -> 5405[label="",style="dashed", color="magenta", weight=3];
5362 -> 2658[label="",style="dashed", color="red", weight=0];
5362[label="primQuotInt (Pos vvv274) (gcd2 False (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="magenta"];5362 -> 5406[label="",style="dashed", color="magenta", weight=3];
5362 -> 5407[label="",style="dashed", color="magenta", weight=3];
5362 -> 5408[label="",style="dashed", color="magenta", weight=3];
5363[label="primQuotInt (Pos vvv274) (gcd2 True (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="black",shape="box"];5363 -> 5409[label="",style="solid", color="black", weight=3];
2852 -> 15[label="",style="dashed", color="red", weight=0];
2852[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2851[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (abs (Neg vvv52) == vvv236) (abs (Pos (Succ vvv1950))) (abs (Neg vvv52)))",fontsize=16,color="black",shape="triangle"];2851 -> 2894[label="",style="solid", color="black", weight=3];
2853 -> 2895[label="",style="dashed", color="red", weight=0];
2853[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (abs (Neg vvv52) == fromInt (Pos Zero)) (abs (Pos Zero)) (abs (Neg vvv52)))",fontsize=16,color="magenta"];2853 -> 2896[label="",style="dashed", color="magenta", weight=3];
2854[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg (Succ vvv520)) vvv230) (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="burlywood",shape="box"];29789[label="vvv230/Pos vvv2300",fontsize=10,color="white",style="solid",shape="box"];2854 -> 29789[label="",style="solid", color="burlywood", weight=9];
29789 -> 2897[label="",style="solid", color="burlywood", weight=3];
29790[label="vvv230/Neg vvv2300",fontsize=10,color="white",style="solid",shape="box"];2854 -> 29790[label="",style="solid", color="burlywood", weight=9];
29790 -> 2898[label="",style="solid", color="burlywood", weight=3];
2855[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg Zero) vvv230) (Pos Zero) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29791[label="vvv230/Pos vvv2300",fontsize=10,color="white",style="solid",shape="box"];2855 -> 29791[label="",style="solid", color="burlywood", weight=9];
29791 -> 2899[label="",style="solid", color="burlywood", weight=3];
29792[label="vvv230/Neg vvv2300",fontsize=10,color="white",style="solid",shape="box"];2855 -> 29792[label="",style="solid", color="burlywood", weight=9];
29792 -> 2900[label="",style="solid", color="burlywood", weight=3];
2856[label="vvv22500",fontsize=16,color="green",shape="box"];2857[label="vvv111000",fontsize=16,color="green",shape="box"];2859 -> 15[label="",style="dashed", color="red", weight=0];
2859[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2858[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (abs (Neg vvv52) == vvv237) (abs (Pos vvv224)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="triangle"];2858 -> 2901[label="",style="solid", color="black", weight=3];
2860[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg (Succ vvv520)) vvv231) (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="burlywood",shape="box"];29794[label="vvv231/Pos vvv2310",fontsize=10,color="white",style="solid",shape="box"];2860 -> 29794[label="",style="solid", color="burlywood", weight=9];
29794 -> 2902[label="",style="solid", color="burlywood", weight=3];
29795[label="vvv231/Neg vvv2310",fontsize=10,color="white",style="solid",shape="box"];2860 -> 29795[label="",style="solid", color="burlywood", weight=9];
29795 -> 2903[label="",style="solid", color="burlywood", weight=3];
2861[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg Zero) vvv231) (Pos vvv224) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29796[label="vvv231/Pos vvv2310",fontsize=10,color="white",style="solid",shape="box"];2861 -> 29796[label="",style="solid", color="burlywood", weight=9];
29796 -> 2904[label="",style="solid", color="burlywood", weight=3];
29797[label="vvv231/Neg vvv2310",fontsize=10,color="white",style="solid",shape="box"];2861 -> 29797[label="",style="solid", color="burlywood", weight=9];
29797 -> 2905[label="",style="solid", color="burlywood", weight=3];
2863 -> 15[label="",style="dashed", color="red", weight=0];
2863[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2862[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (abs (Pos vvv72) == vvv238) (abs (Neg (Succ vvv1990))) (abs (Pos vvv72)))",fontsize=16,color="black",shape="triangle"];2862 -> 2906[label="",style="solid", color="black", weight=3];
5539 -> 5312[label="",style="dashed", color="red", weight=0];
5539[label="primQuotInt (Neg vvv281) (gcd2 (primEqNat vvv2820 vvv2830) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="magenta"];5539 -> 5545[label="",style="dashed", color="magenta", weight=3];
5539 -> 5546[label="",style="dashed", color="magenta", weight=3];
5540 -> 2670[label="",style="dashed", color="red", weight=0];
5540[label="primQuotInt (Neg vvv281) (gcd2 False (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="magenta"];5540 -> 5547[label="",style="dashed", color="magenta", weight=3];
5540 -> 5548[label="",style="dashed", color="magenta", weight=3];
5540 -> 5549[label="",style="dashed", color="magenta", weight=3];
5541 -> 2670[label="",style="dashed", color="red", weight=0];
5541[label="primQuotInt (Neg vvv281) (gcd2 False (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="magenta"];5541 -> 5550[label="",style="dashed", color="magenta", weight=3];
5541 -> 5551[label="",style="dashed", color="magenta", weight=3];
5541 -> 5552[label="",style="dashed", color="magenta", weight=3];
5542[label="primQuotInt (Neg vvv281) (gcd2 True (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="black",shape="box"];5542 -> 5553[label="",style="solid", color="black", weight=3];
2869 -> 2913[label="",style="dashed", color="red", weight=0];
2869[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (abs (Pos vvv72) == fromInt (Pos Zero)) (abs (Neg Zero)) (abs (Pos vvv72)))",fontsize=16,color="magenta"];2869 -> 2914[label="",style="dashed", color="magenta", weight=3];
2870[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos (Succ vvv720)) vvv232) (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];29803[label="vvv232/Pos vvv2320",fontsize=10,color="white",style="solid",shape="box"];2870 -> 29803[label="",style="solid", color="burlywood", weight=9];
29803 -> 2915[label="",style="solid", color="burlywood", weight=3];
29804[label="vvv232/Neg vvv2320",fontsize=10,color="white",style="solid",shape="box"];2870 -> 29804[label="",style="solid", color="burlywood", weight=9];
29804 -> 2916[label="",style="solid", color="burlywood", weight=3];
2871[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos Zero) vvv232) (Neg Zero) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29805[label="vvv232/Pos vvv2320",fontsize=10,color="white",style="solid",shape="box"];2871 -> 29805[label="",style="solid", color="burlywood", weight=9];
29805 -> 2917[label="",style="solid", color="burlywood", weight=3];
29806[label="vvv232/Neg vvv2320",fontsize=10,color="white",style="solid",shape="box"];2871 -> 29806[label="",style="solid", color="burlywood", weight=9];
29806 -> 2918[label="",style="solid", color="burlywood", weight=3];
2873 -> 15[label="",style="dashed", color="red", weight=0];
2873[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2872[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (abs (Pos vvv72) == vvv239) (abs (Neg vvv226)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="triangle"];2872 -> 2919[label="",style="solid", color="black", weight=3];
2874[label="vvv22700",fontsize=16,color="green",shape="box"];2875[label="vvv114000",fontsize=16,color="green",shape="box"];2876[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos (Succ vvv720)) vvv233) (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];29808[label="vvv233/Pos vvv2330",fontsize=10,color="white",style="solid",shape="box"];2876 -> 29808[label="",style="solid", color="burlywood", weight=9];
29808 -> 2920[label="",style="solid", color="burlywood", weight=3];
29809[label="vvv233/Neg vvv2330",fontsize=10,color="white",style="solid",shape="box"];2876 -> 29809[label="",style="solid", color="burlywood", weight=9];
29809 -> 2921[label="",style="solid", color="burlywood", weight=3];
2877[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos Zero) vvv233) (Neg vvv226) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29810[label="vvv233/Pos vvv2330",fontsize=10,color="white",style="solid",shape="box"];2877 -> 29810[label="",style="solid", color="burlywood", weight=9];
29810 -> 2922[label="",style="solid", color="burlywood", weight=3];
29811[label="vvv233/Neg vvv2330",fontsize=10,color="white",style="solid",shape="box"];2877 -> 29811[label="",style="solid", color="burlywood", weight=9];
29811 -> 2923[label="",style="solid", color="burlywood", weight=3];
2878[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (abs (Pos vvv116)) vvv234) (abs (Pos vvv220)) (abs (Pos vvv116)))",fontsize=16,color="black",shape="box"];2878 -> 2924[label="",style="solid", color="black", weight=3];
2879[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos (Succ vvv1160)) (Pos vvv2280)) (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="burlywood",shape="box"];29812[label="vvv2280/Succ vvv22800",fontsize=10,color="white",style="solid",shape="box"];2879 -> 29812[label="",style="solid", color="burlywood", weight=9];
29812 -> 2925[label="",style="solid", color="burlywood", weight=3];
29813[label="vvv2280/Zero",fontsize=10,color="white",style="solid",shape="box"];2879 -> 29813[label="",style="solid", color="burlywood", weight=9];
29813 -> 2926[label="",style="solid", color="burlywood", weight=3];
2880[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos (Succ vvv1160)) (Neg vvv2280)) (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];2880 -> 2927[label="",style="solid", color="black", weight=3];
2881[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos Zero) (Pos vvv2280)) (Pos vvv220) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29814[label="vvv2280/Succ vvv22800",fontsize=10,color="white",style="solid",shape="box"];2881 -> 29814[label="",style="solid", color="burlywood", weight=9];
29814 -> 2928[label="",style="solid", color="burlywood", weight=3];
29815[label="vvv2280/Zero",fontsize=10,color="white",style="solid",shape="box"];2881 -> 29815[label="",style="solid", color="burlywood", weight=9];
29815 -> 2929[label="",style="solid", color="burlywood", weight=3];
2882[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos Zero) (Neg vvv2280)) (Pos vvv220) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29816[label="vvv2280/Succ vvv22800",fontsize=10,color="white",style="solid",shape="box"];2882 -> 29816[label="",style="solid", color="burlywood", weight=9];
29816 -> 2930[label="",style="solid", color="burlywood", weight=3];
29817[label="vvv2280/Zero",fontsize=10,color="white",style="solid",shape="box"];2882 -> 29817[label="",style="solid", color="burlywood", weight=9];
29817 -> 2931[label="",style="solid", color="burlywood", weight=3];
2883[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (abs (Neg vvv47)) vvv235) (abs (Neg vvv222)) (abs (Neg vvv47)))",fontsize=16,color="black",shape="box"];2883 -> 2932[label="",style="solid", color="black", weight=3];
2884[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg (Succ vvv470)) (Pos vvv2290)) (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="black",shape="box"];2884 -> 2933[label="",style="solid", color="black", weight=3];
2885[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg (Succ vvv470)) (Neg vvv2290)) (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="burlywood",shape="box"];29818[label="vvv2290/Succ vvv22900",fontsize=10,color="white",style="solid",shape="box"];2885 -> 29818[label="",style="solid", color="burlywood", weight=9];
29818 -> 2934[label="",style="solid", color="burlywood", weight=3];
29819[label="vvv2290/Zero",fontsize=10,color="white",style="solid",shape="box"];2885 -> 29819[label="",style="solid", color="burlywood", weight=9];
29819 -> 2935[label="",style="solid", color="burlywood", weight=3];
2886[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg Zero) (Pos vvv2290)) (Neg vvv222) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29820[label="vvv2290/Succ vvv22900",fontsize=10,color="white",style="solid",shape="box"];2886 -> 29820[label="",style="solid", color="burlywood", weight=9];
29820 -> 2936[label="",style="solid", color="burlywood", weight=3];
29821[label="vvv2290/Zero",fontsize=10,color="white",style="solid",shape="box"];2886 -> 29821[label="",style="solid", color="burlywood", weight=9];
29821 -> 2937[label="",style="solid", color="burlywood", weight=3];
2887[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg Zero) (Neg vvv2290)) (Neg vvv222) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29822[label="vvv2290/Succ vvv22900",fontsize=10,color="white",style="solid",shape="box"];2887 -> 29822[label="",style="solid", color="burlywood", weight=9];
29822 -> 2938[label="",style="solid", color="burlywood", weight=3];
29823[label="vvv2290/Zero",fontsize=10,color="white",style="solid",shape="box"];2887 -> 29823[label="",style="solid", color="burlywood", weight=9];
29823 -> 2939[label="",style="solid", color="burlywood", weight=3];
5401[label="vvv2760",fontsize=16,color="green",shape="box"];5402[label="vvv2750",fontsize=16,color="green",shape="box"];5403[label="vvv274",fontsize=16,color="green",shape="box"];5404[label="vvv278",fontsize=16,color="green",shape="box"];5405[label="vvv277",fontsize=16,color="green",shape="box"];5406[label="vvv274",fontsize=16,color="green",shape="box"];5407[label="vvv278",fontsize=16,color="green",shape="box"];5408[label="vvv277",fontsize=16,color="green",shape="box"];5409 -> 5543[label="",style="dashed", color="red", weight=0];
5409[label="primQuotInt (Pos vvv274) (gcd1 (Neg vvv278 == fromInt (Pos Zero)) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="magenta"];5409 -> 5544[label="",style="dashed", color="magenta", weight=3];
2894[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (abs (Neg vvv52)) vvv236) (abs (Pos (Succ vvv1950))) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2894 -> 2945[label="",style="solid", color="black", weight=3];
2896 -> 15[label="",style="dashed", color="red", weight=0];
2896[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2895[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (abs (Neg vvv52) == vvv241) (abs (Pos Zero)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="triangle"];2895 -> 2946[label="",style="solid", color="black", weight=3];
2897[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg (Succ vvv520)) (Pos vvv2300)) (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];2897 -> 2947[label="",style="solid", color="black", weight=3];
2898[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg (Succ vvv520)) (Neg vvv2300)) (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="burlywood",shape="box"];29826[label="vvv2300/Succ vvv23000",fontsize=10,color="white",style="solid",shape="box"];2898 -> 29826[label="",style="solid", color="burlywood", weight=9];
29826 -> 2948[label="",style="solid", color="burlywood", weight=3];
29827[label="vvv2300/Zero",fontsize=10,color="white",style="solid",shape="box"];2898 -> 29827[label="",style="solid", color="burlywood", weight=9];
29827 -> 2949[label="",style="solid", color="burlywood", weight=3];
2899[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg Zero) (Pos vvv2300)) (Pos Zero) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29828[label="vvv2300/Succ vvv23000",fontsize=10,color="white",style="solid",shape="box"];2899 -> 29828[label="",style="solid", color="burlywood", weight=9];
29828 -> 2950[label="",style="solid", color="burlywood", weight=3];
29829[label="vvv2300/Zero",fontsize=10,color="white",style="solid",shape="box"];2899 -> 29829[label="",style="solid", color="burlywood", weight=9];
29829 -> 2951[label="",style="solid", color="burlywood", weight=3];
2900[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg Zero) (Neg vvv2300)) (Pos Zero) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29830[label="vvv2300/Succ vvv23000",fontsize=10,color="white",style="solid",shape="box"];2900 -> 29830[label="",style="solid", color="burlywood", weight=9];
29830 -> 2952[label="",style="solid", color="burlywood", weight=3];
29831[label="vvv2300/Zero",fontsize=10,color="white",style="solid",shape="box"];2900 -> 29831[label="",style="solid", color="burlywood", weight=9];
29831 -> 2953[label="",style="solid", color="burlywood", weight=3];
2901[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (abs (Neg vvv52)) vvv237) (abs (Pos vvv224)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2901 -> 2954[label="",style="solid", color="black", weight=3];
2902[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg (Succ vvv520)) (Pos vvv2310)) (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];2902 -> 2955[label="",style="solid", color="black", weight=3];
2903[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg (Succ vvv520)) (Neg vvv2310)) (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="burlywood",shape="box"];29832[label="vvv2310/Succ vvv23100",fontsize=10,color="white",style="solid",shape="box"];2903 -> 29832[label="",style="solid", color="burlywood", weight=9];
29832 -> 2956[label="",style="solid", color="burlywood", weight=3];
29833[label="vvv2310/Zero",fontsize=10,color="white",style="solid",shape="box"];2903 -> 29833[label="",style="solid", color="burlywood", weight=9];
29833 -> 2957[label="",style="solid", color="burlywood", weight=3];
2904[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg Zero) (Pos vvv2310)) (Pos vvv224) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29834[label="vvv2310/Succ vvv23100",fontsize=10,color="white",style="solid",shape="box"];2904 -> 29834[label="",style="solid", color="burlywood", weight=9];
29834 -> 2958[label="",style="solid", color="burlywood", weight=3];
29835[label="vvv2310/Zero",fontsize=10,color="white",style="solid",shape="box"];2904 -> 29835[label="",style="solid", color="burlywood", weight=9];
29835 -> 2959[label="",style="solid", color="burlywood", weight=3];
2905[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg Zero) (Neg vvv2310)) (Pos vvv224) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29836[label="vvv2310/Succ vvv23100",fontsize=10,color="white",style="solid",shape="box"];2905 -> 29836[label="",style="solid", color="burlywood", weight=9];
29836 -> 2960[label="",style="solid", color="burlywood", weight=3];
29837[label="vvv2310/Zero",fontsize=10,color="white",style="solid",shape="box"];2905 -> 29837[label="",style="solid", color="burlywood", weight=9];
29837 -> 2961[label="",style="solid", color="burlywood", weight=3];
2906[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (abs (Pos vvv72)) vvv238) (abs (Neg (Succ vvv1990))) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2906 -> 2962[label="",style="solid", color="black", weight=3];
5545[label="vvv2830",fontsize=16,color="green",shape="box"];5546[label="vvv2820",fontsize=16,color="green",shape="box"];5547[label="vvv285",fontsize=16,color="green",shape="box"];5548[label="vvv281",fontsize=16,color="green",shape="box"];5549[label="vvv284",fontsize=16,color="green",shape="box"];5550[label="vvv285",fontsize=16,color="green",shape="box"];5551[label="vvv281",fontsize=16,color="green",shape="box"];5552[label="vvv284",fontsize=16,color="green",shape="box"];5553 -> 5604[label="",style="dashed", color="red", weight=0];
5553[label="primQuotInt (Neg vvv281) (gcd1 (Pos vvv285 == fromInt (Pos Zero)) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="magenta"];5553 -> 5605[label="",style="dashed", color="magenta", weight=3];
2914 -> 15[label="",style="dashed", color="red", weight=0];
2914[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];2913[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (abs (Pos vvv72) == vvv243) (abs (Neg Zero)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="triangle"];2913 -> 2968[label="",style="solid", color="black", weight=3];
2915[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos (Succ vvv720)) (Pos vvv2320)) (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];29840[label="vvv2320/Succ vvv23200",fontsize=10,color="white",style="solid",shape="box"];2915 -> 29840[label="",style="solid", color="burlywood", weight=9];
29840 -> 2969[label="",style="solid", color="burlywood", weight=3];
29841[label="vvv2320/Zero",fontsize=10,color="white",style="solid",shape="box"];2915 -> 29841[label="",style="solid", color="burlywood", weight=9];
29841 -> 2970[label="",style="solid", color="burlywood", weight=3];
2916[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos (Succ vvv720)) (Neg vvv2320)) (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];2916 -> 2971[label="",style="solid", color="black", weight=3];
2917[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos Zero) (Pos vvv2320)) (Neg Zero) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29842[label="vvv2320/Succ vvv23200",fontsize=10,color="white",style="solid",shape="box"];2917 -> 29842[label="",style="solid", color="burlywood", weight=9];
29842 -> 2972[label="",style="solid", color="burlywood", weight=3];
29843[label="vvv2320/Zero",fontsize=10,color="white",style="solid",shape="box"];2917 -> 29843[label="",style="solid", color="burlywood", weight=9];
29843 -> 2973[label="",style="solid", color="burlywood", weight=3];
2918[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos Zero) (Neg vvv2320)) (Neg Zero) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29844[label="vvv2320/Succ vvv23200",fontsize=10,color="white",style="solid",shape="box"];2918 -> 29844[label="",style="solid", color="burlywood", weight=9];
29844 -> 2974[label="",style="solid", color="burlywood", weight=3];
29845[label="vvv2320/Zero",fontsize=10,color="white",style="solid",shape="box"];2918 -> 29845[label="",style="solid", color="burlywood", weight=9];
29845 -> 2975[label="",style="solid", color="burlywood", weight=3];
2919[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (abs (Pos vvv72)) vvv239) (abs (Neg vvv226)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2919 -> 2976[label="",style="solid", color="black", weight=3];
2920[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos (Succ vvv720)) (Pos vvv2330)) (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];29846[label="vvv2330/Succ vvv23300",fontsize=10,color="white",style="solid",shape="box"];2920 -> 29846[label="",style="solid", color="burlywood", weight=9];
29846 -> 2977[label="",style="solid", color="burlywood", weight=3];
29847[label="vvv2330/Zero",fontsize=10,color="white",style="solid",shape="box"];2920 -> 29847[label="",style="solid", color="burlywood", weight=9];
29847 -> 2978[label="",style="solid", color="burlywood", weight=3];
2921[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos (Succ vvv720)) (Neg vvv2330)) (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];2921 -> 2979[label="",style="solid", color="black", weight=3];
2922[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos Zero) (Pos vvv2330)) (Neg vvv226) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29848[label="vvv2330/Succ vvv23300",fontsize=10,color="white",style="solid",shape="box"];2922 -> 29848[label="",style="solid", color="burlywood", weight=9];
29848 -> 2980[label="",style="solid", color="burlywood", weight=3];
29849[label="vvv2330/Zero",fontsize=10,color="white",style="solid",shape="box"];2922 -> 29849[label="",style="solid", color="burlywood", weight=9];
29849 -> 2981[label="",style="solid", color="burlywood", weight=3];
2923[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos Zero) (Neg vvv2330)) (Neg vvv226) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29850[label="vvv2330/Succ vvv23300",fontsize=10,color="white",style="solid",shape="box"];2923 -> 29850[label="",style="solid", color="burlywood", weight=9];
29850 -> 2982[label="",style="solid", color="burlywood", weight=3];
29851[label="vvv2330/Zero",fontsize=10,color="white",style="solid",shape="box"];2923 -> 29851[label="",style="solid", color="burlywood", weight=9];
29851 -> 2983[label="",style="solid", color="burlywood", weight=3];
2924[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal (Pos vvv116)) vvv234) (abs (Pos vvv220)) (absReal (Pos vvv116)))",fontsize=16,color="black",shape="box"];2924 -> 2984[label="",style="solid", color="black", weight=3];
2925[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos (Succ vvv1160)) (Pos (Succ vvv22800))) (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];2925 -> 2985[label="",style="solid", color="black", weight=3];
2926[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos (Succ vvv1160)) (Pos Zero)) (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];2926 -> 2986[label="",style="solid", color="black", weight=3];
2927[label="primQuotInt (Pos vvv115) (gcd1 False (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="triangle"];2927 -> 2987[label="",style="solid", color="black", weight=3];
2928[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos Zero) (Pos (Succ vvv22800))) (Pos vvv220) (Pos Zero))",fontsize=16,color="black",shape="box"];2928 -> 2988[label="",style="solid", color="black", weight=3];
2929[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos Zero) (Pos Zero)) (Pos vvv220) (Pos Zero))",fontsize=16,color="black",shape="box"];2929 -> 2989[label="",style="solid", color="black", weight=3];
2930[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos Zero) (Neg (Succ vvv22800))) (Pos vvv220) (Pos Zero))",fontsize=16,color="black",shape="box"];2930 -> 2990[label="",style="solid", color="black", weight=3];
2931[label="primQuotInt (Pos vvv115) (gcd1 (primEqInt (Pos Zero) (Neg Zero)) (Pos vvv220) (Pos Zero))",fontsize=16,color="black",shape="box"];2931 -> 2991[label="",style="solid", color="black", weight=3];
2932[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal (Neg vvv47)) vvv235) (abs (Neg vvv222)) (absReal (Neg vvv47)))",fontsize=16,color="black",shape="box"];2932 -> 2992[label="",style="solid", color="black", weight=3];
2933[label="primQuotInt (Neg vvv46) (gcd1 False (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="black",shape="triangle"];2933 -> 2993[label="",style="solid", color="black", weight=3];
2934[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg (Succ vvv470)) (Neg (Succ vvv22900))) (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="black",shape="box"];2934 -> 2994[label="",style="solid", color="black", weight=3];
2935[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg (Succ vvv470)) (Neg Zero)) (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="black",shape="box"];2935 -> 2995[label="",style="solid", color="black", weight=3];
2936[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg Zero) (Pos (Succ vvv22900))) (Neg vvv222) (Neg Zero))",fontsize=16,color="black",shape="box"];2936 -> 2996[label="",style="solid", color="black", weight=3];
2937[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg Zero) (Pos Zero)) (Neg vvv222) (Neg Zero))",fontsize=16,color="black",shape="box"];2937 -> 2997[label="",style="solid", color="black", weight=3];
2938[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg Zero) (Neg (Succ vvv22900))) (Neg vvv222) (Neg Zero))",fontsize=16,color="black",shape="box"];2938 -> 2998[label="",style="solid", color="black", weight=3];
2939[label="primQuotInt (Neg vvv46) (gcd1 (primEqInt (Neg Zero) (Neg Zero)) (Neg vvv222) (Neg Zero))",fontsize=16,color="black",shape="box"];2939 -> 2999[label="",style="solid", color="black", weight=3];
5544 -> 15[label="",style="dashed", color="red", weight=0];
5544[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5543[label="primQuotInt (Pos vvv274) (gcd1 (Neg vvv278 == vvv288) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="black",shape="triangle"];5543 -> 5554[label="",style="solid", color="black", weight=3];
2945[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal (Neg vvv52)) vvv236) (abs (Pos (Succ vvv1950))) (absReal (Neg vvv52)))",fontsize=16,color="black",shape="box"];2945 -> 3007[label="",style="solid", color="black", weight=3];
2946[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (abs (Neg vvv52)) vvv241) (abs (Pos Zero)) (abs (Neg vvv52)))",fontsize=16,color="black",shape="box"];2946 -> 3008[label="",style="solid", color="black", weight=3];
2947[label="primQuotInt (Pos vvv194) (gcd1 False (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="triangle"];2947 -> 3009[label="",style="solid", color="black", weight=3];
2948[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg (Succ vvv520)) (Neg (Succ vvv23000))) (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];2948 -> 3010[label="",style="solid", color="black", weight=3];
2949[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg (Succ vvv520)) (Neg Zero)) (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];2949 -> 3011[label="",style="solid", color="black", weight=3];
2950[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg Zero) (Pos (Succ vvv23000))) (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2950 -> 3012[label="",style="solid", color="black", weight=3];
2951[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg Zero) (Pos Zero)) (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2951 -> 3013[label="",style="solid", color="black", weight=3];
2952[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg Zero) (Neg (Succ vvv23000))) (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2952 -> 3014[label="",style="solid", color="black", weight=3];
2953[label="primQuotInt (Pos vvv194) (gcd1 (primEqInt (Neg Zero) (Neg Zero)) (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2953 -> 3015[label="",style="solid", color="black", weight=3];
2954[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal (Neg vvv52)) vvv237) (abs (Pos vvv224)) (absReal (Neg vvv52)))",fontsize=16,color="black",shape="box"];2954 -> 3016[label="",style="solid", color="black", weight=3];
2955[label="primQuotInt (Neg vvv51) (gcd1 False (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="triangle"];2955 -> 3017[label="",style="solid", color="black", weight=3];
2956[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg (Succ vvv520)) (Neg (Succ vvv23100))) (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];2956 -> 3018[label="",style="solid", color="black", weight=3];
2957[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg (Succ vvv520)) (Neg Zero)) (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];2957 -> 3019[label="",style="solid", color="black", weight=3];
2958[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg Zero) (Pos (Succ vvv23100))) (Pos vvv224) (Neg Zero))",fontsize=16,color="black",shape="box"];2958 -> 3020[label="",style="solid", color="black", weight=3];
2959[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg Zero) (Pos Zero)) (Pos vvv224) (Neg Zero))",fontsize=16,color="black",shape="box"];2959 -> 3021[label="",style="solid", color="black", weight=3];
2960[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg Zero) (Neg (Succ vvv23100))) (Pos vvv224) (Neg Zero))",fontsize=16,color="black",shape="box"];2960 -> 3022[label="",style="solid", color="black", weight=3];
2961[label="primQuotInt (Neg vvv51) (gcd1 (primEqInt (Neg Zero) (Neg Zero)) (Pos vvv224) (Neg Zero))",fontsize=16,color="black",shape="box"];2961 -> 3023[label="",style="solid", color="black", weight=3];
2962[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal (Pos vvv72)) vvv238) (abs (Neg (Succ vvv1990))) (absReal (Pos vvv72)))",fontsize=16,color="black",shape="box"];2962 -> 3024[label="",style="solid", color="black", weight=3];
5605 -> 15[label="",style="dashed", color="red", weight=0];
5605[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5604[label="primQuotInt (Neg vvv281) (gcd1 (Pos vvv285 == vvv290) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="black",shape="triangle"];5604 -> 5606[label="",style="solid", color="black", weight=3];
2968[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (abs (Pos vvv72)) vvv243) (abs (Neg Zero)) (abs (Pos vvv72)))",fontsize=16,color="black",shape="box"];2968 -> 3032[label="",style="solid", color="black", weight=3];
2969[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos (Succ vvv720)) (Pos (Succ vvv23200))) (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];2969 -> 3033[label="",style="solid", color="black", weight=3];
2970[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos (Succ vvv720)) (Pos Zero)) (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];2970 -> 3034[label="",style="solid", color="black", weight=3];
2971[label="primQuotInt (Neg vvv198) (gcd1 False (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="triangle"];2971 -> 3035[label="",style="solid", color="black", weight=3];
2972[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos Zero) (Pos (Succ vvv23200))) (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2972 -> 3036[label="",style="solid", color="black", weight=3];
2973[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos Zero) (Pos Zero)) (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2973 -> 3037[label="",style="solid", color="black", weight=3];
2974[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos Zero) (Neg (Succ vvv23200))) (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2974 -> 3038[label="",style="solid", color="black", weight=3];
2975[label="primQuotInt (Neg vvv198) (gcd1 (primEqInt (Pos Zero) (Neg Zero)) (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2975 -> 3039[label="",style="solid", color="black", weight=3];
2976[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal (Pos vvv72)) vvv239) (abs (Neg vvv226)) (absReal (Pos vvv72)))",fontsize=16,color="black",shape="box"];2976 -> 3040[label="",style="solid", color="black", weight=3];
2977[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos (Succ vvv720)) (Pos (Succ vvv23300))) (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];2977 -> 3041[label="",style="solid", color="black", weight=3];
2978[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos (Succ vvv720)) (Pos Zero)) (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];2978 -> 3042[label="",style="solid", color="black", weight=3];
2979[label="primQuotInt (Pos vvv71) (gcd1 False (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="triangle"];2979 -> 3043[label="",style="solid", color="black", weight=3];
2980[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos Zero) (Pos (Succ vvv23300))) (Neg vvv226) (Pos Zero))",fontsize=16,color="black",shape="box"];2980 -> 3044[label="",style="solid", color="black", weight=3];
2981[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos Zero) (Pos Zero)) (Neg vvv226) (Pos Zero))",fontsize=16,color="black",shape="box"];2981 -> 3045[label="",style="solid", color="black", weight=3];
2982[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos Zero) (Neg (Succ vvv23300))) (Neg vvv226) (Pos Zero))",fontsize=16,color="black",shape="box"];2982 -> 3046[label="",style="solid", color="black", weight=3];
2983[label="primQuotInt (Pos vvv71) (gcd1 (primEqInt (Pos Zero) (Neg Zero)) (Neg vvv226) (Pos Zero))",fontsize=16,color="black",shape="box"];2983 -> 3047[label="",style="solid", color="black", weight=3];
2984[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal2 (Pos vvv116)) vvv234) (abs (Pos vvv220)) (absReal2 (Pos vvv116)))",fontsize=16,color="black",shape="box"];2984 -> 3048[label="",style="solid", color="black", weight=3];
2985 -> 6706[label="",style="dashed", color="red", weight=0];
2985[label="primQuotInt (Pos vvv115) (gcd1 (primEqNat vvv1160 vvv22800) (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="magenta"];2985 -> 6707[label="",style="dashed", color="magenta", weight=3];
2985 -> 6708[label="",style="dashed", color="magenta", weight=3];
2985 -> 6709[label="",style="dashed", color="magenta", weight=3];
2985 -> 6710[label="",style="dashed", color="magenta", weight=3];
2985 -> 6711[label="",style="dashed", color="magenta", weight=3];
2986 -> 2927[label="",style="dashed", color="red", weight=0];
2986[label="primQuotInt (Pos vvv115) (gcd1 False (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="magenta"];2987 -> 2686[label="",style="dashed", color="red", weight=0];
2987[label="primQuotInt (Pos vvv115) (gcd0 (Pos vvv220) (Pos (Succ vvv1160)))",fontsize=16,color="magenta"];2987 -> 3051[label="",style="dashed", color="magenta", weight=3];
2988[label="primQuotInt (Pos vvv115) (gcd1 False (Pos vvv220) (Pos Zero))",fontsize=16,color="black",shape="triangle"];2988 -> 3052[label="",style="solid", color="black", weight=3];
2989[label="primQuotInt (Pos vvv115) (gcd1 True (Pos vvv220) (Pos Zero))",fontsize=16,color="black",shape="triangle"];2989 -> 3053[label="",style="solid", color="black", weight=3];
2990 -> 2988[label="",style="dashed", color="red", weight=0];
2990[label="primQuotInt (Pos vvv115) (gcd1 False (Pos vvv220) (Pos Zero))",fontsize=16,color="magenta"];2991 -> 2989[label="",style="dashed", color="red", weight=0];
2991[label="primQuotInt (Pos vvv115) (gcd1 True (Pos vvv220) (Pos Zero))",fontsize=16,color="magenta"];2992[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal2 (Neg vvv47)) vvv235) (abs (Neg vvv222)) (absReal2 (Neg vvv47)))",fontsize=16,color="black",shape="box"];2992 -> 3054[label="",style="solid", color="black", weight=3];
2993 -> 2691[label="",style="dashed", color="red", weight=0];
2993[label="primQuotInt (Neg vvv46) (gcd0 (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="magenta"];2993 -> 3055[label="",style="dashed", color="magenta", weight=3];
2994 -> 6782[label="",style="dashed", color="red", weight=0];
2994[label="primQuotInt (Neg vvv46) (gcd1 (primEqNat vvv470 vvv22900) (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="magenta"];2994 -> 6783[label="",style="dashed", color="magenta", weight=3];
2994 -> 6784[label="",style="dashed", color="magenta", weight=3];
2994 -> 6785[label="",style="dashed", color="magenta", weight=3];
2994 -> 6786[label="",style="dashed", color="magenta", weight=3];
2994 -> 6787[label="",style="dashed", color="magenta", weight=3];
2995 -> 2933[label="",style="dashed", color="red", weight=0];
2995[label="primQuotInt (Neg vvv46) (gcd1 False (Neg vvv222) (Neg (Succ vvv470)))",fontsize=16,color="magenta"];2996[label="primQuotInt (Neg vvv46) (gcd1 False (Neg vvv222) (Neg Zero))",fontsize=16,color="black",shape="triangle"];2996 -> 3058[label="",style="solid", color="black", weight=3];
2997[label="primQuotInt (Neg vvv46) (gcd1 True (Neg vvv222) (Neg Zero))",fontsize=16,color="black",shape="triangle"];2997 -> 3059[label="",style="solid", color="black", weight=3];
2998 -> 2996[label="",style="dashed", color="red", weight=0];
2998[label="primQuotInt (Neg vvv46) (gcd1 False (Neg vvv222) (Neg Zero))",fontsize=16,color="magenta"];2999 -> 2997[label="",style="dashed", color="red", weight=0];
2999[label="primQuotInt (Neg vvv46) (gcd1 True (Neg vvv222) (Neg Zero))",fontsize=16,color="magenta"];5554[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg vvv278) vvv288) (Pos (Succ vvv277)) (Neg vvv278))",fontsize=16,color="burlywood",shape="box"];29864[label="vvv278/Succ vvv2780",fontsize=10,color="white",style="solid",shape="box"];5554 -> 29864[label="",style="solid", color="burlywood", weight=9];
29864 -> 5607[label="",style="solid", color="burlywood", weight=3];
29865[label="vvv278/Zero",fontsize=10,color="white",style="solid",shape="box"];5554 -> 29865[label="",style="solid", color="burlywood", weight=9];
29865 -> 5608[label="",style="solid", color="burlywood", weight=3];
3007[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal2 (Neg vvv52)) vvv236) (abs (Pos (Succ vvv1950))) (absReal2 (Neg vvv52)))",fontsize=16,color="black",shape="box"];3007 -> 3070[label="",style="solid", color="black", weight=3];
3008[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal (Neg vvv52)) vvv241) (abs (Pos Zero)) (absReal (Neg vvv52)))",fontsize=16,color="black",shape="box"];3008 -> 3071[label="",style="solid", color="black", weight=3];
3009 -> 2737[label="",style="dashed", color="red", weight=0];
3009[label="primQuotInt (Pos vvv194) (gcd0 (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="magenta"];3009 -> 3072[label="",style="dashed", color="magenta", weight=3];
3010 -> 6863[label="",style="dashed", color="red", weight=0];
3010[label="primQuotInt (Pos vvv194) (gcd1 (primEqNat vvv520 vvv23000) (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="magenta"];3010 -> 6864[label="",style="dashed", color="magenta", weight=3];
3010 -> 6865[label="",style="dashed", color="magenta", weight=3];
3010 -> 6866[label="",style="dashed", color="magenta", weight=3];
3010 -> 6867[label="",style="dashed", color="magenta", weight=3];
3011 -> 2947[label="",style="dashed", color="red", weight=0];
3011[label="primQuotInt (Pos vvv194) (gcd1 False (Pos Zero) (Neg (Succ vvv520)))",fontsize=16,color="magenta"];3012[label="primQuotInt (Pos vvv194) (gcd1 False (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="triangle"];3012 -> 3075[label="",style="solid", color="black", weight=3];
3013[label="primQuotInt (Pos vvv194) (gcd1 True (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="triangle"];3013 -> 3076[label="",style="solid", color="black", weight=3];
3014 -> 3012[label="",style="dashed", color="red", weight=0];
3014[label="primQuotInt (Pos vvv194) (gcd1 False (Pos Zero) (Neg Zero))",fontsize=16,color="magenta"];3015 -> 3013[label="",style="dashed", color="red", weight=0];
3015[label="primQuotInt (Pos vvv194) (gcd1 True (Pos Zero) (Neg Zero))",fontsize=16,color="magenta"];3016[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal2 (Neg vvv52)) vvv237) (abs (Pos vvv224)) (absReal2 (Neg vvv52)))",fontsize=16,color="black",shape="box"];3016 -> 3077[label="",style="solid", color="black", weight=3];
3017 -> 2707[label="",style="dashed", color="red", weight=0];
3017[label="primQuotInt (Neg vvv51) (gcd0 (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="magenta"];3017 -> 3078[label="",style="dashed", color="magenta", weight=3];
3018 -> 6935[label="",style="dashed", color="red", weight=0];
3018[label="primQuotInt (Neg vvv51) (gcd1 (primEqNat vvv520 vvv23100) (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="magenta"];3018 -> 6936[label="",style="dashed", color="magenta", weight=3];
3018 -> 6937[label="",style="dashed", color="magenta", weight=3];
3018 -> 6938[label="",style="dashed", color="magenta", weight=3];
3018 -> 6939[label="",style="dashed", color="magenta", weight=3];
3018 -> 6940[label="",style="dashed", color="magenta", weight=3];
3019 -> 2955[label="",style="dashed", color="red", weight=0];
3019[label="primQuotInt (Neg vvv51) (gcd1 False (Pos vvv224) (Neg (Succ vvv520)))",fontsize=16,color="magenta"];3020[label="primQuotInt (Neg vvv51) (gcd1 False (Pos vvv224) (Neg Zero))",fontsize=16,color="black",shape="triangle"];3020 -> 3081[label="",style="solid", color="black", weight=3];
3021[label="primQuotInt (Neg vvv51) (gcd1 True (Pos vvv224) (Neg Zero))",fontsize=16,color="black",shape="triangle"];3021 -> 3082[label="",style="solid", color="black", weight=3];
3022 -> 3020[label="",style="dashed", color="red", weight=0];
3022[label="primQuotInt (Neg vvv51) (gcd1 False (Pos vvv224) (Neg Zero))",fontsize=16,color="magenta"];3023 -> 3021[label="",style="dashed", color="red", weight=0];
3023[label="primQuotInt (Neg vvv51) (gcd1 True (Pos vvv224) (Neg Zero))",fontsize=16,color="magenta"];3024[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal2 (Pos vvv72)) vvv238) (abs (Neg (Succ vvv1990))) (absReal2 (Pos vvv72)))",fontsize=16,color="black",shape="box"];3024 -> 3083[label="",style="solid", color="black", weight=3];
5606[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos vvv285) vvv290) (Neg (Succ vvv284)) (Pos vvv285))",fontsize=16,color="burlywood",shape="box"];29876[label="vvv285/Succ vvv2850",fontsize=10,color="white",style="solid",shape="box"];5606 -> 29876[label="",style="solid", color="burlywood", weight=9];
29876 -> 5611[label="",style="solid", color="burlywood", weight=3];
29877[label="vvv285/Zero",fontsize=10,color="white",style="solid",shape="box"];5606 -> 29877[label="",style="solid", color="burlywood", weight=9];
29877 -> 5612[label="",style="solid", color="burlywood", weight=3];
3032[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal (Pos vvv72)) vvv243) (abs (Neg Zero)) (absReal (Pos vvv72)))",fontsize=16,color="black",shape="box"];3032 -> 3094[label="",style="solid", color="black", weight=3];
3033 -> 7038[label="",style="dashed", color="red", weight=0];
3033[label="primQuotInt (Neg vvv198) (gcd1 (primEqNat vvv720 vvv23200) (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];3033 -> 7039[label="",style="dashed", color="magenta", weight=3];
3033 -> 7040[label="",style="dashed", color="magenta", weight=3];
3033 -> 7041[label="",style="dashed", color="magenta", weight=3];
3033 -> 7042[label="",style="dashed", color="magenta", weight=3];
3034 -> 2971[label="",style="dashed", color="red", weight=0];
3034[label="primQuotInt (Neg vvv198) (gcd1 False (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];3035 -> 2746[label="",style="dashed", color="red", weight=0];
3035[label="primQuotInt (Neg vvv198) (gcd0 (Neg Zero) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];3035 -> 3097[label="",style="dashed", color="magenta", weight=3];
3036[label="primQuotInt (Neg vvv198) (gcd1 False (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="triangle"];3036 -> 3098[label="",style="solid", color="black", weight=3];
3037[label="primQuotInt (Neg vvv198) (gcd1 True (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="triangle"];3037 -> 3099[label="",style="solid", color="black", weight=3];
3038 -> 3036[label="",style="dashed", color="red", weight=0];
3038[label="primQuotInt (Neg vvv198) (gcd1 False (Neg Zero) (Pos Zero))",fontsize=16,color="magenta"];3039 -> 3037[label="",style="dashed", color="red", weight=0];
3039[label="primQuotInt (Neg vvv198) (gcd1 True (Neg Zero) (Pos Zero))",fontsize=16,color="magenta"];3040[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal2 (Pos vvv72)) vvv239) (abs (Neg vvv226)) (absReal2 (Pos vvv72)))",fontsize=16,color="black",shape="box"];3040 -> 3100[label="",style="solid", color="black", weight=3];
3041 -> 7135[label="",style="dashed", color="red", weight=0];
3041[label="primQuotInt (Pos vvv71) (gcd1 (primEqNat vvv720 vvv23300) (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];3041 -> 7136[label="",style="dashed", color="magenta", weight=3];
3041 -> 7137[label="",style="dashed", color="magenta", weight=3];
3041 -> 7138[label="",style="dashed", color="magenta", weight=3];
3041 -> 7139[label="",style="dashed", color="magenta", weight=3];
3041 -> 7140[label="",style="dashed", color="magenta", weight=3];
3042 -> 2979[label="",style="dashed", color="red", weight=0];
3042[label="primQuotInt (Pos vvv71) (gcd1 False (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];3043 -> 2719[label="",style="dashed", color="red", weight=0];
3043[label="primQuotInt (Pos vvv71) (gcd0 (Neg vvv226) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];3043 -> 3103[label="",style="dashed", color="magenta", weight=3];
3044[label="primQuotInt (Pos vvv71) (gcd1 False (Neg vvv226) (Pos Zero))",fontsize=16,color="black",shape="triangle"];3044 -> 3104[label="",style="solid", color="black", weight=3];
3045[label="primQuotInt (Pos vvv71) (gcd1 True (Neg vvv226) (Pos Zero))",fontsize=16,color="black",shape="triangle"];3045 -> 3105[label="",style="solid", color="black", weight=3];
3046 -> 3044[label="",style="dashed", color="red", weight=0];
3046[label="primQuotInt (Pos vvv71) (gcd1 False (Neg vvv226) (Pos Zero))",fontsize=16,color="magenta"];3047 -> 3045[label="",style="dashed", color="red", weight=0];
3047[label="primQuotInt (Pos vvv71) (gcd1 True (Neg vvv226) (Pos Zero))",fontsize=16,color="magenta"];3048 -> 3106[label="",style="dashed", color="red", weight=0];
3048[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv116) (Pos vvv116 >= fromInt (Pos Zero))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos vvv116) (Pos vvv116 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3048 -> 3107[label="",style="dashed", color="magenta", weight=3];
3048 -> 3108[label="",style="dashed", color="magenta", weight=3];
6707[label="vvv220",fontsize=16,color="green",shape="box"];6708[label="vvv1160",fontsize=16,color="green",shape="box"];6709[label="vvv22800",fontsize=16,color="green",shape="box"];6710[label="vvv1160",fontsize=16,color="green",shape="box"];6711[label="vvv115",fontsize=16,color="green",shape="box"];6706[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat vvv319 vvv320) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="burlywood",shape="triangle"];29889[label="vvv319/Succ vvv3190",fontsize=10,color="white",style="solid",shape="box"];6706 -> 29889[label="",style="solid", color="burlywood", weight=9];
29889 -> 6752[label="",style="solid", color="burlywood", weight=3];
29890[label="vvv319/Zero",fontsize=10,color="white",style="solid",shape="box"];6706 -> 29890[label="",style="solid", color="burlywood", weight=9];
29890 -> 6753[label="",style="solid", color="burlywood", weight=3];
3051[label="Succ vvv1160",fontsize=16,color="green",shape="box"];3052 -> 2686[label="",style="dashed", color="red", weight=0];
3052[label="primQuotInt (Pos vvv115) (gcd0 (Pos vvv220) (Pos Zero))",fontsize=16,color="magenta"];3052 -> 3113[label="",style="dashed", color="magenta", weight=3];
3053[label="primQuotInt (Pos vvv115) (error [])",fontsize=16,color="black",shape="triangle"];3053 -> 3114[label="",style="solid", color="black", weight=3];
3054 -> 3115[label="",style="dashed", color="red", weight=0];
3054[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv47) (Neg vvv47 >= fromInt (Pos Zero))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg vvv47) (Neg vvv47 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3054 -> 3116[label="",style="dashed", color="magenta", weight=3];
3054 -> 3117[label="",style="dashed", color="magenta", weight=3];
3055[label="Succ vvv470",fontsize=16,color="green",shape="box"];6783[label="vvv222",fontsize=16,color="green",shape="box"];6784[label="vvv470",fontsize=16,color="green",shape="box"];6785[label="vvv46",fontsize=16,color="green",shape="box"];6786[label="vvv470",fontsize=16,color="green",shape="box"];6787[label="vvv22900",fontsize=16,color="green",shape="box"];6782[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat vvv325 vvv326) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="burlywood",shape="triangle"];29893[label="vvv325/Succ vvv3250",fontsize=10,color="white",style="solid",shape="box"];6782 -> 29893[label="",style="solid", color="burlywood", weight=9];
29893 -> 6828[label="",style="solid", color="burlywood", weight=3];
29894[label="vvv325/Zero",fontsize=10,color="white",style="solid",shape="box"];6782 -> 29894[label="",style="solid", color="burlywood", weight=9];
29894 -> 6829[label="",style="solid", color="burlywood", weight=3];
3058 -> 2691[label="",style="dashed", color="red", weight=0];
3058[label="primQuotInt (Neg vvv46) (gcd0 (Neg vvv222) (Neg Zero))",fontsize=16,color="magenta"];3058 -> 3122[label="",style="dashed", color="magenta", weight=3];
3059[label="primQuotInt (Neg vvv46) (error [])",fontsize=16,color="black",shape="triangle"];3059 -> 3123[label="",style="solid", color="black", weight=3];
5607[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg (Succ vvv2780)) vvv288) (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="burlywood",shape="box"];29896[label="vvv288/Pos vvv2880",fontsize=10,color="white",style="solid",shape="box"];5607 -> 29896[label="",style="solid", color="burlywood", weight=9];
29896 -> 5613[label="",style="solid", color="burlywood", weight=3];
29897[label="vvv288/Neg vvv2880",fontsize=10,color="white",style="solid",shape="box"];5607 -> 29897[label="",style="solid", color="burlywood", weight=9];
29897 -> 5614[label="",style="solid", color="burlywood", weight=3];
5608[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg Zero) vvv288) (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29898[label="vvv288/Pos vvv2880",fontsize=10,color="white",style="solid",shape="box"];5608 -> 29898[label="",style="solid", color="burlywood", weight=9];
29898 -> 5615[label="",style="solid", color="burlywood", weight=3];
29899[label="vvv288/Neg vvv2880",fontsize=10,color="white",style="solid",shape="box"];5608 -> 29899[label="",style="solid", color="burlywood", weight=9];
29899 -> 5616[label="",style="solid", color="burlywood", weight=3];
3070 -> 3136[label="",style="dashed", color="red", weight=0];
3070[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (Neg vvv52 >= fromInt (Pos Zero))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg vvv52) (Neg vvv52 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3070 -> 3137[label="",style="dashed", color="magenta", weight=3];
3070 -> 3138[label="",style="dashed", color="magenta", weight=3];
3071[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal2 (Neg vvv52)) vvv241) (abs (Pos Zero)) (absReal2 (Neg vvv52)))",fontsize=16,color="black",shape="box"];3071 -> 3139[label="",style="solid", color="black", weight=3];
3072[label="Succ vvv520",fontsize=16,color="green",shape="box"];6864[label="vvv23000",fontsize=16,color="green",shape="box"];6865[label="vvv520",fontsize=16,color="green",shape="box"];6866[label="vvv194",fontsize=16,color="green",shape="box"];6867[label="vvv520",fontsize=16,color="green",shape="box"];6863[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat vvv331 vvv332) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="burlywood",shape="triangle"];29901[label="vvv331/Succ vvv3310",fontsize=10,color="white",style="solid",shape="box"];6863 -> 29901[label="",style="solid", color="burlywood", weight=9];
29901 -> 6900[label="",style="solid", color="burlywood", weight=3];
29902[label="vvv331/Zero",fontsize=10,color="white",style="solid",shape="box"];6863 -> 29902[label="",style="solid", color="burlywood", weight=9];
29902 -> 6901[label="",style="solid", color="burlywood", weight=3];
3075 -> 2737[label="",style="dashed", color="red", weight=0];
3075[label="primQuotInt (Pos vvv194) (gcd0 (Pos Zero) (Neg Zero))",fontsize=16,color="magenta"];3075 -> 3144[label="",style="dashed", color="magenta", weight=3];
3076 -> 3053[label="",style="dashed", color="red", weight=0];
3076[label="primQuotInt (Pos vvv194) (error [])",fontsize=16,color="magenta"];3076 -> 3145[label="",style="dashed", color="magenta", weight=3];
3077 -> 3146[label="",style="dashed", color="red", weight=0];
3077[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (Neg vvv52 >= fromInt (Pos Zero))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg vvv52) (Neg vvv52 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3077 -> 3147[label="",style="dashed", color="magenta", weight=3];
3077 -> 3148[label="",style="dashed", color="magenta", weight=3];
3078[label="Succ vvv520",fontsize=16,color="green",shape="box"];6936[label="vvv51",fontsize=16,color="green",shape="box"];6937[label="vvv23100",fontsize=16,color="green",shape="box"];6938[label="vvv520",fontsize=16,color="green",shape="box"];6939[label="vvv520",fontsize=16,color="green",shape="box"];6940[label="vvv224",fontsize=16,color="green",shape="box"];6935[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat vvv336 vvv337) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="burlywood",shape="triangle"];29906[label="vvv336/Succ vvv3360",fontsize=10,color="white",style="solid",shape="box"];6935 -> 29906[label="",style="solid", color="burlywood", weight=9];
29906 -> 6981[label="",style="solid", color="burlywood", weight=3];
29907[label="vvv336/Zero",fontsize=10,color="white",style="solid",shape="box"];6935 -> 29907[label="",style="solid", color="burlywood", weight=9];
29907 -> 6982[label="",style="solid", color="burlywood", weight=3];
3081 -> 2707[label="",style="dashed", color="red", weight=0];
3081[label="primQuotInt (Neg vvv51) (gcd0 (Pos vvv224) (Neg Zero))",fontsize=16,color="magenta"];3081 -> 3153[label="",style="dashed", color="magenta", weight=3];
3082 -> 3059[label="",style="dashed", color="red", weight=0];
3082[label="primQuotInt (Neg vvv51) (error [])",fontsize=16,color="magenta"];3082 -> 3154[label="",style="dashed", color="magenta", weight=3];
3083 -> 3155[label="",style="dashed", color="red", weight=0];
3083[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (Pos vvv72 >= fromInt (Pos Zero))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos vvv72) (Pos vvv72 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3083 -> 3156[label="",style="dashed", color="magenta", weight=3];
3083 -> 3157[label="",style="dashed", color="magenta", weight=3];
5611[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos (Succ vvv2850)) vvv290) (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="burlywood",shape="box"];29911[label="vvv290/Pos vvv2900",fontsize=10,color="white",style="solid",shape="box"];5611 -> 29911[label="",style="solid", color="burlywood", weight=9];
29911 -> 5640[label="",style="solid", color="burlywood", weight=3];
29912[label="vvv290/Neg vvv2900",fontsize=10,color="white",style="solid",shape="box"];5611 -> 29912[label="",style="solid", color="burlywood", weight=9];
29912 -> 5641[label="",style="solid", color="burlywood", weight=3];
5612[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos Zero) vvv290) (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29913[label="vvv290/Pos vvv2900",fontsize=10,color="white",style="solid",shape="box"];5612 -> 29913[label="",style="solid", color="burlywood", weight=9];
29913 -> 5642[label="",style="solid", color="burlywood", weight=3];
29914[label="vvv290/Neg vvv2900",fontsize=10,color="white",style="solid",shape="box"];5612 -> 29914[label="",style="solid", color="burlywood", weight=9];
29914 -> 5643[label="",style="solid", color="burlywood", weight=3];
3094[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal2 (Pos vvv72)) vvv243) (abs (Neg Zero)) (absReal2 (Pos vvv72)))",fontsize=16,color="black",shape="box"];3094 -> 3170[label="",style="solid", color="black", weight=3];
7039[label="vvv720",fontsize=16,color="green",shape="box"];7040[label="vvv23200",fontsize=16,color="green",shape="box"];7041[label="vvv720",fontsize=16,color="green",shape="box"];7042[label="vvv198",fontsize=16,color="green",shape="box"];7038[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat vvv342 vvv343) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="burlywood",shape="triangle"];29915[label="vvv342/Succ vvv3420",fontsize=10,color="white",style="solid",shape="box"];7038 -> 29915[label="",style="solid", color="burlywood", weight=9];
29915 -> 7075[label="",style="solid", color="burlywood", weight=3];
29916[label="vvv342/Zero",fontsize=10,color="white",style="solid",shape="box"];7038 -> 29916[label="",style="solid", color="burlywood", weight=9];
29916 -> 7076[label="",style="solid", color="burlywood", weight=3];
3097[label="Succ vvv720",fontsize=16,color="green",shape="box"];3098 -> 2746[label="",style="dashed", color="red", weight=0];
3098[label="primQuotInt (Neg vvv198) (gcd0 (Neg Zero) (Pos Zero))",fontsize=16,color="magenta"];3098 -> 3175[label="",style="dashed", color="magenta", weight=3];
3099 -> 3059[label="",style="dashed", color="red", weight=0];
3099[label="primQuotInt (Neg vvv198) (error [])",fontsize=16,color="magenta"];3099 -> 3176[label="",style="dashed", color="magenta", weight=3];
3100 -> 3177[label="",style="dashed", color="red", weight=0];
3100[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (Pos vvv72 >= fromInt (Pos Zero))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos vvv72) (Pos vvv72 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3100 -> 3178[label="",style="dashed", color="magenta", weight=3];
3100 -> 3179[label="",style="dashed", color="magenta", weight=3];
7136[label="vvv23300",fontsize=16,color="green",shape="box"];7137[label="vvv720",fontsize=16,color="green",shape="box"];7138[label="vvv226",fontsize=16,color="green",shape="box"];7139[label="vvv720",fontsize=16,color="green",shape="box"];7140[label="vvv71",fontsize=16,color="green",shape="box"];7135[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat vvv348 vvv349) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="burlywood",shape="triangle"];29920[label="vvv348/Succ vvv3480",fontsize=10,color="white",style="solid",shape="box"];7135 -> 29920[label="",style="solid", color="burlywood", weight=9];
29920 -> 7181[label="",style="solid", color="burlywood", weight=3];
29921[label="vvv348/Zero",fontsize=10,color="white",style="solid",shape="box"];7135 -> 29921[label="",style="solid", color="burlywood", weight=9];
29921 -> 7182[label="",style="solid", color="burlywood", weight=3];
3103[label="Succ vvv720",fontsize=16,color="green",shape="box"];3104 -> 2719[label="",style="dashed", color="red", weight=0];
3104[label="primQuotInt (Pos vvv71) (gcd0 (Neg vvv226) (Pos Zero))",fontsize=16,color="magenta"];3104 -> 3184[label="",style="dashed", color="magenta", weight=3];
3105 -> 3053[label="",style="dashed", color="red", weight=0];
3105[label="primQuotInt (Pos vvv71) (error [])",fontsize=16,color="magenta"];3105 -> 3185[label="",style="dashed", color="magenta", weight=3];
3107 -> 15[label="",style="dashed", color="red", weight=0];
3107[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3108 -> 15[label="",style="dashed", color="red", weight=0];
3108[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3106[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv116) (Pos vvv116 >= vvv247)) vvv234) (abs (Pos vvv220)) (absReal1 (Pos vvv116) (Pos vvv116 >= vvv246)))",fontsize=16,color="black",shape="triangle"];3106 -> 3186[label="",style="solid", color="black", weight=3];
6752[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat (Succ vvv3190) vvv320) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="burlywood",shape="box"];29926[label="vvv320/Succ vvv3200",fontsize=10,color="white",style="solid",shape="box"];6752 -> 29926[label="",style="solid", color="burlywood", weight=9];
29926 -> 6830[label="",style="solid", color="burlywood", weight=3];
29927[label="vvv320/Zero",fontsize=10,color="white",style="solid",shape="box"];6752 -> 29927[label="",style="solid", color="burlywood", weight=9];
29927 -> 6831[label="",style="solid", color="burlywood", weight=3];
6753[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat Zero vvv320) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="burlywood",shape="box"];29928[label="vvv320/Succ vvv3200",fontsize=10,color="white",style="solid",shape="box"];6753 -> 29928[label="",style="solid", color="burlywood", weight=9];
29928 -> 6832[label="",style="solid", color="burlywood", weight=3];
29929[label="vvv320/Zero",fontsize=10,color="white",style="solid",shape="box"];6753 -> 29929[label="",style="solid", color="burlywood", weight=9];
29929 -> 6833[label="",style="solid", color="burlywood", weight=3];
3113[label="Zero",fontsize=16,color="green",shape="box"];3114[label="error []",fontsize=16,color="red",shape="box"];3116 -> 15[label="",style="dashed", color="red", weight=0];
3116[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3117 -> 15[label="",style="dashed", color="red", weight=0];
3117[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3115[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv47) (Neg vvv47 >= vvv249)) vvv235) (abs (Neg vvv222)) (absReal1 (Neg vvv47) (Neg vvv47 >= vvv248)))",fontsize=16,color="black",shape="triangle"];3115 -> 3191[label="",style="solid", color="black", weight=3];
6828[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat (Succ vvv3250) vvv326) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="burlywood",shape="box"];29932[label="vvv326/Succ vvv3260",fontsize=10,color="white",style="solid",shape="box"];6828 -> 29932[label="",style="solid", color="burlywood", weight=9];
29932 -> 6902[label="",style="solid", color="burlywood", weight=3];
29933[label="vvv326/Zero",fontsize=10,color="white",style="solid",shape="box"];6828 -> 29933[label="",style="solid", color="burlywood", weight=9];
29933 -> 6903[label="",style="solid", color="burlywood", weight=3];
6829[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat Zero vvv326) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="burlywood",shape="box"];29934[label="vvv326/Succ vvv3260",fontsize=10,color="white",style="solid",shape="box"];6829 -> 29934[label="",style="solid", color="burlywood", weight=9];
29934 -> 6904[label="",style="solid", color="burlywood", weight=3];
29935[label="vvv326/Zero",fontsize=10,color="white",style="solid",shape="box"];6829 -> 29935[label="",style="solid", color="burlywood", weight=9];
29935 -> 6905[label="",style="solid", color="burlywood", weight=3];
3122[label="Zero",fontsize=16,color="green",shape="box"];3123[label="error []",fontsize=16,color="red",shape="box"];5613[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg (Succ vvv2780)) (Pos vvv2880)) (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="black",shape="box"];5613 -> 5644[label="",style="solid", color="black", weight=3];
5614[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg (Succ vvv2780)) (Neg vvv2880)) (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="burlywood",shape="box"];29936[label="vvv2880/Succ vvv28800",fontsize=10,color="white",style="solid",shape="box"];5614 -> 29936[label="",style="solid", color="burlywood", weight=9];
29936 -> 5645[label="",style="solid", color="burlywood", weight=3];
29937[label="vvv2880/Zero",fontsize=10,color="white",style="solid",shape="box"];5614 -> 29937[label="",style="solid", color="burlywood", weight=9];
29937 -> 5646[label="",style="solid", color="burlywood", weight=3];
5615[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg Zero) (Pos vvv2880)) (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29938[label="vvv2880/Succ vvv28800",fontsize=10,color="white",style="solid",shape="box"];5615 -> 29938[label="",style="solid", color="burlywood", weight=9];
29938 -> 5647[label="",style="solid", color="burlywood", weight=3];
29939[label="vvv2880/Zero",fontsize=10,color="white",style="solid",shape="box"];5615 -> 29939[label="",style="solid", color="burlywood", weight=9];
29939 -> 5648[label="",style="solid", color="burlywood", weight=3];
5616[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg Zero) (Neg vvv2880)) (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];29940[label="vvv2880/Succ vvv28800",fontsize=10,color="white",style="solid",shape="box"];5616 -> 29940[label="",style="solid", color="burlywood", weight=9];
29940 -> 5649[label="",style="solid", color="burlywood", weight=3];
29941[label="vvv2880/Zero",fontsize=10,color="white",style="solid",shape="box"];5616 -> 29941[label="",style="solid", color="burlywood", weight=9];
29941 -> 5650[label="",style="solid", color="burlywood", weight=3];
3137 -> 15[label="",style="dashed", color="red", weight=0];
3137[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3138 -> 15[label="",style="dashed", color="red", weight=0];
3138[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3136[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (Neg vvv52 >= vvv251)) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg vvv52) (Neg vvv52 >= vvv250)))",fontsize=16,color="black",shape="triangle"];3136 -> 3210[label="",style="solid", color="black", weight=3];
3139 -> 3211[label="",style="dashed", color="red", weight=0];
3139[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (Neg vvv52 >= fromInt (Pos Zero))) vvv241) (abs (Pos Zero)) (absReal1 (Neg vvv52) (Neg vvv52 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3139 -> 3212[label="",style="dashed", color="magenta", weight=3];
3139 -> 3213[label="",style="dashed", color="magenta", weight=3];
6900[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat (Succ vvv3310) vvv332) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="burlywood",shape="box"];29945[label="vvv332/Succ vvv3320",fontsize=10,color="white",style="solid",shape="box"];6900 -> 29945[label="",style="solid", color="burlywood", weight=9];
29945 -> 6983[label="",style="solid", color="burlywood", weight=3];
29946[label="vvv332/Zero",fontsize=10,color="white",style="solid",shape="box"];6900 -> 29946[label="",style="solid", color="burlywood", weight=9];
29946 -> 6984[label="",style="solid", color="burlywood", weight=3];
6901[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat Zero vvv332) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="burlywood",shape="box"];29947[label="vvv332/Succ vvv3320",fontsize=10,color="white",style="solid",shape="box"];6901 -> 29947[label="",style="solid", color="burlywood", weight=9];
29947 -> 6985[label="",style="solid", color="burlywood", weight=3];
29948[label="vvv332/Zero",fontsize=10,color="white",style="solid",shape="box"];6901 -> 29948[label="",style="solid", color="burlywood", weight=9];
29948 -> 6986[label="",style="solid", color="burlywood", weight=3];
3144[label="Zero",fontsize=16,color="green",shape="box"];3145[label="vvv194",fontsize=16,color="green",shape="box"];3147 -> 15[label="",style="dashed", color="red", weight=0];
3147[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3148 -> 15[label="",style="dashed", color="red", weight=0];
3148[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3146[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (Neg vvv52 >= vvv253)) vvv237) (abs (Pos vvv224)) (absReal1 (Neg vvv52) (Neg vvv52 >= vvv252)))",fontsize=16,color="black",shape="triangle"];3146 -> 3218[label="",style="solid", color="black", weight=3];
6981[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat (Succ vvv3360) vvv337) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="burlywood",shape="box"];29951[label="vvv337/Succ vvv3370",fontsize=10,color="white",style="solid",shape="box"];6981 -> 29951[label="",style="solid", color="burlywood", weight=9];
29951 -> 7077[label="",style="solid", color="burlywood", weight=3];
29952[label="vvv337/Zero",fontsize=10,color="white",style="solid",shape="box"];6981 -> 29952[label="",style="solid", color="burlywood", weight=9];
29952 -> 7078[label="",style="solid", color="burlywood", weight=3];
6982[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat Zero vvv337) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="burlywood",shape="box"];29953[label="vvv337/Succ vvv3370",fontsize=10,color="white",style="solid",shape="box"];6982 -> 29953[label="",style="solid", color="burlywood", weight=9];
29953 -> 7079[label="",style="solid", color="burlywood", weight=3];
29954[label="vvv337/Zero",fontsize=10,color="white",style="solid",shape="box"];6982 -> 29954[label="",style="solid", color="burlywood", weight=9];
29954 -> 7080[label="",style="solid", color="burlywood", weight=3];
3153[label="Zero",fontsize=16,color="green",shape="box"];3154[label="vvv51",fontsize=16,color="green",shape="box"];3156 -> 15[label="",style="dashed", color="red", weight=0];
3156[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3157 -> 15[label="",style="dashed", color="red", weight=0];
3157[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3155[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (Pos vvv72 >= vvv255)) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos vvv72) (Pos vvv72 >= vvv254)))",fontsize=16,color="black",shape="triangle"];3155 -> 3223[label="",style="solid", color="black", weight=3];
5640[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos (Succ vvv2850)) (Pos vvv2900)) (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="burlywood",shape="box"];29957[label="vvv2900/Succ vvv29000",fontsize=10,color="white",style="solid",shape="box"];5640 -> 29957[label="",style="solid", color="burlywood", weight=9];
29957 -> 5653[label="",style="solid", color="burlywood", weight=3];
29958[label="vvv2900/Zero",fontsize=10,color="white",style="solid",shape="box"];5640 -> 29958[label="",style="solid", color="burlywood", weight=9];
29958 -> 5654[label="",style="solid", color="burlywood", weight=3];
5641[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos (Succ vvv2850)) (Neg vvv2900)) (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="black",shape="box"];5641 -> 5655[label="",style="solid", color="black", weight=3];
5642[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos Zero) (Pos vvv2900)) (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29959[label="vvv2900/Succ vvv29000",fontsize=10,color="white",style="solid",shape="box"];5642 -> 29959[label="",style="solid", color="burlywood", weight=9];
29959 -> 5656[label="",style="solid", color="burlywood", weight=3];
29960[label="vvv2900/Zero",fontsize=10,color="white",style="solid",shape="box"];5642 -> 29960[label="",style="solid", color="burlywood", weight=9];
29960 -> 5657[label="",style="solid", color="burlywood", weight=3];
5643[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos Zero) (Neg vvv2900)) (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];29961[label="vvv2900/Succ vvv29000",fontsize=10,color="white",style="solid",shape="box"];5643 -> 29961[label="",style="solid", color="burlywood", weight=9];
29961 -> 5658[label="",style="solid", color="burlywood", weight=3];
29962[label="vvv2900/Zero",fontsize=10,color="white",style="solid",shape="box"];5643 -> 29962[label="",style="solid", color="burlywood", weight=9];
29962 -> 5659[label="",style="solid", color="burlywood", weight=3];
3170 -> 3238[label="",style="dashed", color="red", weight=0];
3170[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (Pos vvv72 >= fromInt (Pos Zero))) vvv243) (abs (Neg Zero)) (absReal1 (Pos vvv72) (Pos vvv72 >= fromInt (Pos Zero))))",fontsize=16,color="magenta"];3170 -> 3239[label="",style="dashed", color="magenta", weight=3];
3170 -> 3240[label="",style="dashed", color="magenta", weight=3];
7075[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat (Succ vvv3420) vvv343) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="burlywood",shape="box"];29964[label="vvv343/Succ vvv3430",fontsize=10,color="white",style="solid",shape="box"];7075 -> 29964[label="",style="solid", color="burlywood", weight=9];
29964 -> 7114[label="",style="solid", color="burlywood", weight=3];
29965[label="vvv343/Zero",fontsize=10,color="white",style="solid",shape="box"];7075 -> 29965[label="",style="solid", color="burlywood", weight=9];
29965 -> 7115[label="",style="solid", color="burlywood", weight=3];
7076[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat Zero vvv343) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="burlywood",shape="box"];29966[label="vvv343/Succ vvv3430",fontsize=10,color="white",style="solid",shape="box"];7076 -> 29966[label="",style="solid", color="burlywood", weight=9];
29966 -> 7116[label="",style="solid", color="burlywood", weight=3];
29967[label="vvv343/Zero",fontsize=10,color="white",style="solid",shape="box"];7076 -> 29967[label="",style="solid", color="burlywood", weight=9];
29967 -> 7117[label="",style="solid", color="burlywood", weight=3];
3175[label="Zero",fontsize=16,color="green",shape="box"];3176[label="vvv198",fontsize=16,color="green",shape="box"];3178 -> 15[label="",style="dashed", color="red", weight=0];
3178[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3179 -> 15[label="",style="dashed", color="red", weight=0];
3179[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3177[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (Pos vvv72 >= vvv257)) vvv239) (abs (Neg vvv226)) (absReal1 (Pos vvv72) (Pos vvv72 >= vvv256)))",fontsize=16,color="black",shape="triangle"];3177 -> 3245[label="",style="solid", color="black", weight=3];
7181[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat (Succ vvv3480) vvv349) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="burlywood",shape="box"];29970[label="vvv349/Succ vvv3490",fontsize=10,color="white",style="solid",shape="box"];7181 -> 29970[label="",style="solid", color="burlywood", weight=9];
29970 -> 7217[label="",style="solid", color="burlywood", weight=3];
29971[label="vvv349/Zero",fontsize=10,color="white",style="solid",shape="box"];7181 -> 29971[label="",style="solid", color="burlywood", weight=9];
29971 -> 7218[label="",style="solid", color="burlywood", weight=3];
7182[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat Zero vvv349) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="burlywood",shape="box"];29972[label="vvv349/Succ vvv3490",fontsize=10,color="white",style="solid",shape="box"];7182 -> 29972[label="",style="solid", color="burlywood", weight=9];
29972 -> 7219[label="",style="solid", color="burlywood", weight=3];
29973[label="vvv349/Zero",fontsize=10,color="white",style="solid",shape="box"];7182 -> 29973[label="",style="solid", color="burlywood", weight=9];
29973 -> 7220[label="",style="solid", color="burlywood", weight=3];
3184[label="Zero",fontsize=16,color="green",shape="box"];3185[label="vvv71",fontsize=16,color="green",shape="box"];3186[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv116) (compare (Pos vvv116) vvv247 /= LT)) vvv234) (abs (Pos vvv220)) (absReal1 (Pos vvv116) (compare (Pos vvv116) vvv247 /= LT)))",fontsize=16,color="black",shape="box"];3186 -> 3250[label="",style="solid", color="black", weight=3];
6830[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat (Succ vvv3190) (Succ vvv3200)) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="black",shape="box"];6830 -> 6906[label="",style="solid", color="black", weight=3];
6831[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat (Succ vvv3190) Zero) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="black",shape="box"];6831 -> 6907[label="",style="solid", color="black", weight=3];
6832[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat Zero (Succ vvv3200)) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="black",shape="box"];6832 -> 6908[label="",style="solid", color="black", weight=3];
6833[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat Zero Zero) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="black",shape="box"];6833 -> 6909[label="",style="solid", color="black", weight=3];
3191[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv47) (compare (Neg vvv47) vvv249 /= LT)) vvv235) (abs (Neg vvv222)) (absReal1 (Neg vvv47) (compare (Neg vvv47) vvv249 /= LT)))",fontsize=16,color="black",shape="box"];3191 -> 3256[label="",style="solid", color="black", weight=3];
6902[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat (Succ vvv3250) (Succ vvv3260)) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="black",shape="box"];6902 -> 6987[label="",style="solid", color="black", weight=3];
6903[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat (Succ vvv3250) Zero) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="black",shape="box"];6903 -> 6988[label="",style="solid", color="black", weight=3];
6904[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat Zero (Succ vvv3260)) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="black",shape="box"];6904 -> 6989[label="",style="solid", color="black", weight=3];
6905[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat Zero Zero) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="black",shape="box"];6905 -> 6990[label="",style="solid", color="black", weight=3];
5644[label="primQuotInt (Pos vvv274) (gcd1 False (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="black",shape="triangle"];5644 -> 5660[label="",style="solid", color="black", weight=3];
5645[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg (Succ vvv2780)) (Neg (Succ vvv28800))) (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="black",shape="box"];5645 -> 5661[label="",style="solid", color="black", weight=3];
5646[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg (Succ vvv2780)) (Neg Zero)) (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="black",shape="box"];5646 -> 5662[label="",style="solid", color="black", weight=3];
5647[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg Zero) (Pos (Succ vvv28800))) (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="black",shape="box"];5647 -> 5663[label="",style="solid", color="black", weight=3];
5648[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg Zero) (Pos Zero)) (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="black",shape="box"];5648 -> 5664[label="",style="solid", color="black", weight=3];
5649[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg Zero) (Neg (Succ vvv28800))) (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="black",shape="box"];5649 -> 5665[label="",style="solid", color="black", weight=3];
5650[label="primQuotInt (Pos vvv274) (gcd1 (primEqInt (Neg Zero) (Neg Zero)) (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="black",shape="box"];5650 -> 5666[label="",style="solid", color="black", weight=3];
3210[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (compare (Neg vvv52) vvv251 /= LT)) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg vvv52) (compare (Neg vvv52) vvv251 /= LT)))",fontsize=16,color="black",shape="box"];3210 -> 3278[label="",style="solid", color="black", weight=3];
3212 -> 15[label="",style="dashed", color="red", weight=0];
3212[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3213 -> 15[label="",style="dashed", color="red", weight=0];
3213[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3211[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (Neg vvv52 >= vvv259)) vvv241) (abs (Pos Zero)) (absReal1 (Neg vvv52) (Neg vvv52 >= vvv258)))",fontsize=16,color="black",shape="triangle"];3211 -> 3279[label="",style="solid", color="black", weight=3];
6983[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat (Succ vvv3310) (Succ vvv3320)) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="black",shape="box"];6983 -> 7081[label="",style="solid", color="black", weight=3];
6984[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat (Succ vvv3310) Zero) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="black",shape="box"];6984 -> 7082[label="",style="solid", color="black", weight=3];
6985[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat Zero (Succ vvv3320)) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="black",shape="box"];6985 -> 7083[label="",style="solid", color="black", weight=3];
6986[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat Zero Zero) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="black",shape="box"];6986 -> 7084[label="",style="solid", color="black", weight=3];
3218[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (compare (Neg vvv52) vvv253 /= LT)) vvv237) (abs (Pos vvv224)) (absReal1 (Neg vvv52) (compare (Neg vvv52) vvv253 /= LT)))",fontsize=16,color="black",shape="box"];3218 -> 3285[label="",style="solid", color="black", weight=3];
7077[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat (Succ vvv3360) (Succ vvv3370)) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="black",shape="box"];7077 -> 7118[label="",style="solid", color="black", weight=3];
7078[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat (Succ vvv3360) Zero) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="black",shape="box"];7078 -> 7119[label="",style="solid", color="black", weight=3];
7079[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat Zero (Succ vvv3370)) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="black",shape="box"];7079 -> 7120[label="",style="solid", color="black", weight=3];
7080[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat Zero Zero) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="black",shape="box"];7080 -> 7121[label="",style="solid", color="black", weight=3];
3223[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (compare (Pos vvv72) vvv255 /= LT)) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos vvv72) (compare (Pos vvv72) vvv255 /= LT)))",fontsize=16,color="black",shape="box"];3223 -> 3291[label="",style="solid", color="black", weight=3];
5653[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos (Succ vvv2850)) (Pos (Succ vvv29000))) (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="black",shape="box"];5653 -> 5683[label="",style="solid", color="black", weight=3];
5654[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos (Succ vvv2850)) (Pos Zero)) (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="black",shape="box"];5654 -> 5684[label="",style="solid", color="black", weight=3];
5655[label="primQuotInt (Neg vvv281) (gcd1 False (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="black",shape="triangle"];5655 -> 5685[label="",style="solid", color="black", weight=3];
5656[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos Zero) (Pos (Succ vvv29000))) (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="black",shape="box"];5656 -> 5686[label="",style="solid", color="black", weight=3];
5657[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos Zero) (Pos Zero)) (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="black",shape="box"];5657 -> 5687[label="",style="solid", color="black", weight=3];
5658[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos Zero) (Neg (Succ vvv29000))) (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="black",shape="box"];5658 -> 5688[label="",style="solid", color="black", weight=3];
5659[label="primQuotInt (Neg vvv281) (gcd1 (primEqInt (Pos Zero) (Neg Zero)) (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="black",shape="box"];5659 -> 5689[label="",style="solid", color="black", weight=3];
3239 -> 15[label="",style="dashed", color="red", weight=0];
3239[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3240 -> 15[label="",style="dashed", color="red", weight=0];
3240[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];3238[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (Pos vvv72 >= vvv261)) vvv243) (abs (Neg Zero)) (absReal1 (Pos vvv72) (Pos vvv72 >= vvv260)))",fontsize=16,color="black",shape="triangle"];3238 -> 3308[label="",style="solid", color="black", weight=3];
7114[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat (Succ vvv3420) (Succ vvv3430)) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="black",shape="box"];7114 -> 7183[label="",style="solid", color="black", weight=3];
7115[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat (Succ vvv3420) Zero) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="black",shape="box"];7115 -> 7184[label="",style="solid", color="black", weight=3];
7116[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat Zero (Succ vvv3430)) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="black",shape="box"];7116 -> 7185[label="",style="solid", color="black", weight=3];
7117[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat Zero Zero) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="black",shape="box"];7117 -> 7186[label="",style="solid", color="black", weight=3];
3245[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (compare (Pos vvv72) vvv257 /= LT)) vvv239) (abs (Neg vvv226)) (absReal1 (Pos vvv72) (compare (Pos vvv72) vvv257 /= LT)))",fontsize=16,color="black",shape="box"];3245 -> 3314[label="",style="solid", color="black", weight=3];
7217[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat (Succ vvv3480) (Succ vvv3490)) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="black",shape="box"];7217 -> 7251[label="",style="solid", color="black", weight=3];
7218[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat (Succ vvv3480) Zero) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="black",shape="box"];7218 -> 7252[label="",style="solid", color="black", weight=3];
7219[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat Zero (Succ vvv3490)) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="black",shape="box"];7219 -> 7253[label="",style="solid", color="black", weight=3];
7220[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat Zero Zero) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="black",shape="box"];7220 -> 7254[label="",style="solid", color="black", weight=3];
3250[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv116) (not (compare (Pos vvv116) vvv247 == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos vvv116) (not (compare (Pos vvv116) vvv247 == LT))))",fontsize=16,color="black",shape="box"];3250 -> 3320[label="",style="solid", color="black", weight=3];
6906 -> 6706[label="",style="dashed", color="red", weight=0];
6906[label="primQuotInt (Pos vvv318) (gcd1 (primEqNat vvv3190 vvv3200) (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="magenta"];6906 -> 6991[label="",style="dashed", color="magenta", weight=3];
6906 -> 6992[label="",style="dashed", color="magenta", weight=3];
6907 -> 2927[label="",style="dashed", color="red", weight=0];
6907[label="primQuotInt (Pos vvv318) (gcd1 False (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="magenta"];6907 -> 6993[label="",style="dashed", color="magenta", weight=3];
6907 -> 6994[label="",style="dashed", color="magenta", weight=3];
6907 -> 6995[label="",style="dashed", color="magenta", weight=3];
6908 -> 2927[label="",style="dashed", color="red", weight=0];
6908[label="primQuotInt (Pos vvv318) (gcd1 False (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="magenta"];6908 -> 6996[label="",style="dashed", color="magenta", weight=3];
6908 -> 6997[label="",style="dashed", color="magenta", weight=3];
6908 -> 6998[label="",style="dashed", color="magenta", weight=3];
6909[label="primQuotInt (Pos vvv318) (gcd1 True (Pos vvv321) (Pos (Succ vvv322)))",fontsize=16,color="black",shape="box"];6909 -> 6999[label="",style="solid", color="black", weight=3];
3256[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv47) (not (compare (Neg vvv47) vvv249 == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg vvv47) (not (compare (Neg vvv47) vvv249 == LT))))",fontsize=16,color="black",shape="box"];3256 -> 3325[label="",style="solid", color="black", weight=3];
6987 -> 6782[label="",style="dashed", color="red", weight=0];
6987[label="primQuotInt (Neg vvv324) (gcd1 (primEqNat vvv3250 vvv3260) (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="magenta"];6987 -> 7085[label="",style="dashed", color="magenta", weight=3];
6987 -> 7086[label="",style="dashed", color="magenta", weight=3];
6988 -> 2933[label="",style="dashed", color="red", weight=0];
6988[label="primQuotInt (Neg vvv324) (gcd1 False (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="magenta"];6988 -> 7087[label="",style="dashed", color="magenta", weight=3];
6988 -> 7088[label="",style="dashed", color="magenta", weight=3];
6988 -> 7089[label="",style="dashed", color="magenta", weight=3];
6989 -> 2933[label="",style="dashed", color="red", weight=0];
6989[label="primQuotInt (Neg vvv324) (gcd1 False (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="magenta"];6989 -> 7090[label="",style="dashed", color="magenta", weight=3];
6989 -> 7091[label="",style="dashed", color="magenta", weight=3];
6989 -> 7092[label="",style="dashed", color="magenta", weight=3];
6990[label="primQuotInt (Neg vvv324) (gcd1 True (Neg vvv327) (Neg (Succ vvv328)))",fontsize=16,color="black",shape="box"];6990 -> 7093[label="",style="solid", color="black", weight=3];
5660 -> 2700[label="",style="dashed", color="red", weight=0];
5660[label="primQuotInt (Pos vvv274) (gcd0 (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="magenta"];5660 -> 5690[label="",style="dashed", color="magenta", weight=3];
5660 -> 5691[label="",style="dashed", color="magenta", weight=3];
5660 -> 5692[label="",style="dashed", color="magenta", weight=3];
5661 -> 7838[label="",style="dashed", color="red", weight=0];
5661[label="primQuotInt (Pos vvv274) (gcd1 (primEqNat vvv2780 vvv28800) (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="magenta"];5661 -> 7839[label="",style="dashed", color="magenta", weight=3];
5661 -> 7840[label="",style="dashed", color="magenta", weight=3];
5661 -> 7841[label="",style="dashed", color="magenta", weight=3];
5661 -> 7842[label="",style="dashed", color="magenta", weight=3];
5661 -> 7843[label="",style="dashed", color="magenta", weight=3];
5662 -> 5644[label="",style="dashed", color="red", weight=0];
5662[label="primQuotInt (Pos vvv274) (gcd1 False (Pos (Succ vvv277)) (Neg (Succ vvv2780)))",fontsize=16,color="magenta"];5663[label="primQuotInt (Pos vvv274) (gcd1 False (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];5663 -> 5695[label="",style="solid", color="black", weight=3];
5664[label="primQuotInt (Pos vvv274) (gcd1 True (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];5664 -> 5696[label="",style="solid", color="black", weight=3];
5665 -> 5663[label="",style="dashed", color="red", weight=0];
5665[label="primQuotInt (Pos vvv274) (gcd1 False (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="magenta"];5666 -> 5664[label="",style="dashed", color="red", weight=0];
5666[label="primQuotInt (Pos vvv274) (gcd1 True (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="magenta"];3278[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (not (compare (Neg vvv52) vvv251 == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg vvv52) (not (compare (Neg vvv52) vvv251 == LT))))",fontsize=16,color="black",shape="box"];3278 -> 3349[label="",style="solid", color="black", weight=3];
3279[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (compare (Neg vvv52) vvv259 /= LT)) vvv241) (abs (Pos Zero)) (absReal1 (Neg vvv52) (compare (Neg vvv52) vvv259 /= LT)))",fontsize=16,color="black",shape="box"];3279 -> 3350[label="",style="solid", color="black", weight=3];
7081 -> 6863[label="",style="dashed", color="red", weight=0];
7081[label="primQuotInt (Pos vvv330) (gcd1 (primEqNat vvv3310 vvv3320) (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="magenta"];7081 -> 7122[label="",style="dashed", color="magenta", weight=3];
7081 -> 7123[label="",style="dashed", color="magenta", weight=3];
7082 -> 2947[label="",style="dashed", color="red", weight=0];
7082[label="primQuotInt (Pos vvv330) (gcd1 False (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="magenta"];7082 -> 7124[label="",style="dashed", color="magenta", weight=3];
7082 -> 7125[label="",style="dashed", color="magenta", weight=3];
7083 -> 2947[label="",style="dashed", color="red", weight=0];
7083[label="primQuotInt (Pos vvv330) (gcd1 False (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="magenta"];7083 -> 7126[label="",style="dashed", color="magenta", weight=3];
7083 -> 7127[label="",style="dashed", color="magenta", weight=3];
7084[label="primQuotInt (Pos vvv330) (gcd1 True (Pos Zero) (Neg (Succ vvv333)))",fontsize=16,color="black",shape="box"];7084 -> 7128[label="",style="solid", color="black", weight=3];
3285[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (not (compare (Neg vvv52) vvv253 == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg vvv52) (not (compare (Neg vvv52) vvv253 == LT))))",fontsize=16,color="black",shape="box"];3285 -> 3356[label="",style="solid", color="black", weight=3];
7118 -> 6935[label="",style="dashed", color="red", weight=0];
7118[label="primQuotInt (Neg vvv335) (gcd1 (primEqNat vvv3360 vvv3370) (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="magenta"];7118 -> 7187[label="",style="dashed", color="magenta", weight=3];
7118 -> 7188[label="",style="dashed", color="magenta", weight=3];
7119 -> 2955[label="",style="dashed", color="red", weight=0];
7119[label="primQuotInt (Neg vvv335) (gcd1 False (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="magenta"];7119 -> 7189[label="",style="dashed", color="magenta", weight=3];
7119 -> 7190[label="",style="dashed", color="magenta", weight=3];
7119 -> 7191[label="",style="dashed", color="magenta", weight=3];
7120 -> 2955[label="",style="dashed", color="red", weight=0];
7120[label="primQuotInt (Neg vvv335) (gcd1 False (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="magenta"];7120 -> 7192[label="",style="dashed", color="magenta", weight=3];
7120 -> 7193[label="",style="dashed", color="magenta", weight=3];
7120 -> 7194[label="",style="dashed", color="magenta", weight=3];
7121[label="primQuotInt (Neg vvv335) (gcd1 True (Pos vvv338) (Neg (Succ vvv339)))",fontsize=16,color="black",shape="box"];7121 -> 7195[label="",style="solid", color="black", weight=3];
3291[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (not (compare (Pos vvv72) vvv255 == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos vvv72) (not (compare (Pos vvv72) vvv255 == LT))))",fontsize=16,color="black",shape="box"];3291 -> 3362[label="",style="solid", color="black", weight=3];
5683 -> 7985[label="",style="dashed", color="red", weight=0];
5683[label="primQuotInt (Neg vvv281) (gcd1 (primEqNat vvv2850 vvv29000) (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="magenta"];5683 -> 7986[label="",style="dashed", color="magenta", weight=3];
5683 -> 7987[label="",style="dashed", color="magenta", weight=3];
5683 -> 7988[label="",style="dashed", color="magenta", weight=3];
5683 -> 7989[label="",style="dashed", color="magenta", weight=3];
5683 -> 7990[label="",style="dashed", color="magenta", weight=3];
5684 -> 5655[label="",style="dashed", color="red", weight=0];
5684[label="primQuotInt (Neg vvv281) (gcd1 False (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="magenta"];5685 -> 2712[label="",style="dashed", color="red", weight=0];
5685[label="primQuotInt (Neg vvv281) (gcd0 (Neg (Succ vvv284)) (Pos (Succ vvv2850)))",fontsize=16,color="magenta"];5685 -> 5732[label="",style="dashed", color="magenta", weight=3];
5685 -> 5733[label="",style="dashed", color="magenta", weight=3];
5685 -> 5734[label="",style="dashed", color="magenta", weight=3];
5686[label="primQuotInt (Neg vvv281) (gcd1 False (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];5686 -> 5735[label="",style="solid", color="black", weight=3];
5687[label="primQuotInt (Neg vvv281) (gcd1 True (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];5687 -> 5736[label="",style="solid", color="black", weight=3];
5688 -> 5686[label="",style="dashed", color="red", weight=0];
5688[label="primQuotInt (Neg vvv281) (gcd1 False (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="magenta"];5689 -> 5687[label="",style="dashed", color="red", weight=0];
5689[label="primQuotInt (Neg vvv281) (gcd1 True (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="magenta"];3308[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (compare (Pos vvv72) vvv261 /= LT)) vvv243) (abs (Neg Zero)) (absReal1 (Pos vvv72) (compare (Pos vvv72) vvv261 /= LT)))",fontsize=16,color="black",shape="box"];3308 -> 3382[label="",style="solid", color="black", weight=3];
7183 -> 7038[label="",style="dashed", color="red", weight=0];
7183[label="primQuotInt (Neg vvv341) (gcd1 (primEqNat vvv3420 vvv3430) (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="magenta"];7183 -> 7221[label="",style="dashed", color="magenta", weight=3];
7183 -> 7222[label="",style="dashed", color="magenta", weight=3];
7184 -> 2971[label="",style="dashed", color="red", weight=0];
7184[label="primQuotInt (Neg vvv341) (gcd1 False (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="magenta"];7184 -> 7223[label="",style="dashed", color="magenta", weight=3];
7184 -> 7224[label="",style="dashed", color="magenta", weight=3];
7185 -> 2971[label="",style="dashed", color="red", weight=0];
7185[label="primQuotInt (Neg vvv341) (gcd1 False (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="magenta"];7185 -> 7225[label="",style="dashed", color="magenta", weight=3];
7185 -> 7226[label="",style="dashed", color="magenta", weight=3];
7186[label="primQuotInt (Neg vvv341) (gcd1 True (Neg Zero) (Pos (Succ vvv344)))",fontsize=16,color="black",shape="box"];7186 -> 7227[label="",style="solid", color="black", weight=3];
3314[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (not (compare (Pos vvv72) vvv257 == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos vvv72) (not (compare (Pos vvv72) vvv257 == LT))))",fontsize=16,color="black",shape="box"];3314 -> 3388[label="",style="solid", color="black", weight=3];
7251 -> 7135[label="",style="dashed", color="red", weight=0];
7251[label="primQuotInt (Pos vvv347) (gcd1 (primEqNat vvv3480 vvv3490) (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="magenta"];7251 -> 7262[label="",style="dashed", color="magenta", weight=3];
7251 -> 7263[label="",style="dashed", color="magenta", weight=3];
7252 -> 2979[label="",style="dashed", color="red", weight=0];
7252[label="primQuotInt (Pos vvv347) (gcd1 False (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="magenta"];7252 -> 7264[label="",style="dashed", color="magenta", weight=3];
7252 -> 7265[label="",style="dashed", color="magenta", weight=3];
7252 -> 7266[label="",style="dashed", color="magenta", weight=3];
7253 -> 2979[label="",style="dashed", color="red", weight=0];
7253[label="primQuotInt (Pos vvv347) (gcd1 False (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="magenta"];7253 -> 7267[label="",style="dashed", color="magenta", weight=3];
7253 -> 7268[label="",style="dashed", color="magenta", weight=3];
7253 -> 7269[label="",style="dashed", color="magenta", weight=3];
7254[label="primQuotInt (Pos vvv347) (gcd1 True (Neg vvv350) (Pos (Succ vvv351)))",fontsize=16,color="black",shape="box"];7254 -> 7270[label="",style="solid", color="black", weight=3];
3320[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv116) (not (primCmpInt (Pos vvv116) vvv247 == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos vvv116) (not (primCmpInt (Pos vvv116) vvv247 == LT))))",fontsize=16,color="burlywood",shape="box"];30006[label="vvv116/Succ vvv1160",fontsize=10,color="white",style="solid",shape="box"];3320 -> 30006[label="",style="solid", color="burlywood", weight=9];
30006 -> 3394[label="",style="solid", color="burlywood", weight=3];
30007[label="vvv116/Zero",fontsize=10,color="white",style="solid",shape="box"];3320 -> 30007[label="",style="solid", color="burlywood", weight=9];
30007 -> 3395[label="",style="solid", color="burlywood", weight=3];
6991[label="vvv3200",fontsize=16,color="green",shape="box"];6992[label="vvv3190",fontsize=16,color="green",shape="box"];6993[label="vvv321",fontsize=16,color="green",shape="box"];6994[label="vvv318",fontsize=16,color="green",shape="box"];6995[label="vvv322",fontsize=16,color="green",shape="box"];6996[label="vvv321",fontsize=16,color="green",shape="box"];6997[label="vvv318",fontsize=16,color="green",shape="box"];6998[label="vvv322",fontsize=16,color="green",shape="box"];6999 -> 3053[label="",style="dashed", color="red", weight=0];
6999[label="primQuotInt (Pos vvv318) (error [])",fontsize=16,color="magenta"];6999 -> 7094[label="",style="dashed", color="magenta", weight=3];
3325[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv47) (not (primCmpInt (Neg vvv47) vvv249 == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg vvv47) (not (primCmpInt (Neg vvv47) vvv249 == LT))))",fontsize=16,color="burlywood",shape="box"];30009[label="vvv47/Succ vvv470",fontsize=10,color="white",style="solid",shape="box"];3325 -> 30009[label="",style="solid", color="burlywood", weight=9];
30009 -> 3400[label="",style="solid", color="burlywood", weight=3];
30010[label="vvv47/Zero",fontsize=10,color="white",style="solid",shape="box"];3325 -> 30010[label="",style="solid", color="burlywood", weight=9];
30010 -> 3401[label="",style="solid", color="burlywood", weight=3];
7085[label="vvv3250",fontsize=16,color="green",shape="box"];7086[label="vvv3260",fontsize=16,color="green",shape="box"];7087[label="vvv327",fontsize=16,color="green",shape="box"];7088[label="vvv324",fontsize=16,color="green",shape="box"];7089[label="vvv328",fontsize=16,color="green",shape="box"];7090[label="vvv327",fontsize=16,color="green",shape="box"];7091[label="vvv324",fontsize=16,color="green",shape="box"];7092[label="vvv328",fontsize=16,color="green",shape="box"];7093 -> 3059[label="",style="dashed", color="red", weight=0];
7093[label="primQuotInt (Neg vvv324) (error [])",fontsize=16,color="magenta"];7093 -> 7129[label="",style="dashed", color="magenta", weight=3];
5690[label="vvv274",fontsize=16,color="green",shape="box"];5691[label="Succ vvv2780",fontsize=16,color="green",shape="box"];5692[label="vvv277",fontsize=16,color="green",shape="box"];7839[label="vvv277",fontsize=16,color="green",shape="box"];7840[label="vvv28800",fontsize=16,color="green",shape="box"];7841[label="vvv2780",fontsize=16,color="green",shape="box"];7842[label="vvv274",fontsize=16,color="green",shape="box"];7843[label="vvv2780",fontsize=16,color="green",shape="box"];7838[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat vvv377 vvv378) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="burlywood",shape="triangle"];30012[label="vvv377/Succ vvv3770",fontsize=10,color="white",style="solid",shape="box"];7838 -> 30012[label="",style="solid", color="burlywood", weight=9];
30012 -> 7884[label="",style="solid", color="burlywood", weight=3];
30013[label="vvv377/Zero",fontsize=10,color="white",style="solid",shape="box"];7838 -> 30013[label="",style="solid", color="burlywood", weight=9];
30013 -> 7885[label="",style="solid", color="burlywood", weight=3];
5695 -> 2700[label="",style="dashed", color="red", weight=0];
5695[label="primQuotInt (Pos vvv274) (gcd0 (Pos (Succ vvv277)) (Neg Zero))",fontsize=16,color="magenta"];5695 -> 5741[label="",style="dashed", color="magenta", weight=3];
5695 -> 5742[label="",style="dashed", color="magenta", weight=3];
5695 -> 5743[label="",style="dashed", color="magenta", weight=3];
5696 -> 3053[label="",style="dashed", color="red", weight=0];
5696[label="primQuotInt (Pos vvv274) (error [])",fontsize=16,color="magenta"];5696 -> 5744[label="",style="dashed", color="magenta", weight=3];
3349[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (not (primCmpInt (Neg vvv52) vvv251 == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg vvv52) (not (primCmpInt (Neg vvv52) vvv251 == LT))))",fontsize=16,color="burlywood",shape="box"];30016[label="vvv52/Succ vvv520",fontsize=10,color="white",style="solid",shape="box"];3349 -> 30016[label="",style="solid", color="burlywood", weight=9];
30016 -> 3424[label="",style="solid", color="burlywood", weight=3];
30017[label="vvv52/Zero",fontsize=10,color="white",style="solid",shape="box"];3349 -> 30017[label="",style="solid", color="burlywood", weight=9];
30017 -> 3425[label="",style="solid", color="burlywood", weight=3];
3350[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (not (compare (Neg vvv52) vvv259 == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg vvv52) (not (compare (Neg vvv52) vvv259 == LT))))",fontsize=16,color="black",shape="box"];3350 -> 3426[label="",style="solid", color="black", weight=3];
7122[label="vvv3320",fontsize=16,color="green",shape="box"];7123[label="vvv3310",fontsize=16,color="green",shape="box"];7124[label="vvv330",fontsize=16,color="green",shape="box"];7125[label="vvv333",fontsize=16,color="green",shape="box"];7126[label="vvv330",fontsize=16,color="green",shape="box"];7127[label="vvv333",fontsize=16,color="green",shape="box"];7128 -> 3053[label="",style="dashed", color="red", weight=0];
7128[label="primQuotInt (Pos vvv330) (error [])",fontsize=16,color="magenta"];7128 -> 7196[label="",style="dashed", color="magenta", weight=3];
3356[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (not (primCmpInt (Neg vvv52) vvv253 == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg vvv52) (not (primCmpInt (Neg vvv52) vvv253 == LT))))",fontsize=16,color="burlywood",shape="box"];30019[label="vvv52/Succ vvv520",fontsize=10,color="white",style="solid",shape="box"];3356 -> 30019[label="",style="solid", color="burlywood", weight=9];
30019 -> 3431[label="",style="solid", color="burlywood", weight=3];
30020[label="vvv52/Zero",fontsize=10,color="white",style="solid",shape="box"];3356 -> 30020[label="",style="solid", color="burlywood", weight=9];
30020 -> 3432[label="",style="solid", color="burlywood", weight=3];
7187[label="vvv3370",fontsize=16,color="green",shape="box"];7188[label="vvv3360",fontsize=16,color="green",shape="box"];7189[label="vvv338",fontsize=16,color="green",shape="box"];7190[label="vvv335",fontsize=16,color="green",shape="box"];7191[label="vvv339",fontsize=16,color="green",shape="box"];7192[label="vvv338",fontsize=16,color="green",shape="box"];7193[label="vvv335",fontsize=16,color="green",shape="box"];7194[label="vvv339",fontsize=16,color="green",shape="box"];7195 -> 3059[label="",style="dashed", color="red", weight=0];
7195[label="primQuotInt (Neg vvv335) (error [])",fontsize=16,color="magenta"];7195 -> 7228[label="",style="dashed", color="magenta", weight=3];
3362[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (not (primCmpInt (Pos vvv72) vvv255 == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos vvv72) (not (primCmpInt (Pos vvv72) vvv255 == LT))))",fontsize=16,color="burlywood",shape="box"];30022[label="vvv72/Succ vvv720",fontsize=10,color="white",style="solid",shape="box"];3362 -> 30022[label="",style="solid", color="burlywood", weight=9];
30022 -> 3437[label="",style="solid", color="burlywood", weight=3];
30023[label="vvv72/Zero",fontsize=10,color="white",style="solid",shape="box"];3362 -> 30023[label="",style="solid", color="burlywood", weight=9];
30023 -> 3438[label="",style="solid", color="burlywood", weight=3];
7986[label="vvv284",fontsize=16,color="green",shape="box"];7987[label="vvv281",fontsize=16,color="green",shape="box"];7988[label="vvv2850",fontsize=16,color="green",shape="box"];7989[label="vvv29000",fontsize=16,color="green",shape="box"];7990[label="vvv2850",fontsize=16,color="green",shape="box"];7985[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat vvv389 vvv390) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="burlywood",shape="triangle"];30024[label="vvv389/Succ vvv3890",fontsize=10,color="white",style="solid",shape="box"];7985 -> 30024[label="",style="solid", color="burlywood", weight=9];
30024 -> 8031[label="",style="solid", color="burlywood", weight=3];
30025[label="vvv389/Zero",fontsize=10,color="white",style="solid",shape="box"];7985 -> 30025[label="",style="solid", color="burlywood", weight=9];
30025 -> 8032[label="",style="solid", color="burlywood", weight=3];
5732[label="Succ vvv2850",fontsize=16,color="green",shape="box"];5733[label="vvv281",fontsize=16,color="green",shape="box"];5734[label="vvv284",fontsize=16,color="green",shape="box"];5735 -> 2712[label="",style="dashed", color="red", weight=0];
5735[label="primQuotInt (Neg vvv281) (gcd0 (Neg (Succ vvv284)) (Pos Zero))",fontsize=16,color="magenta"];5735 -> 5751[label="",style="dashed", color="magenta", weight=3];
5735 -> 5752[label="",style="dashed", color="magenta", weight=3];
5735 -> 5753[label="",style="dashed", color="magenta", weight=3];
5736 -> 3059[label="",style="dashed", color="red", weight=0];
5736[label="primQuotInt (Neg vvv281) (error [])",fontsize=16,color="magenta"];5736 -> 5754[label="",style="dashed", color="magenta", weight=3];
3382[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (not (compare (Pos vvv72) vvv261 == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos vvv72) (not (compare (Pos vvv72) vvv261 == LT))))",fontsize=16,color="black",shape="box"];3382 -> 3457[label="",style="solid", color="black", weight=3];
7221[label="vvv3420",fontsize=16,color="green",shape="box"];7222[label="vvv3430",fontsize=16,color="green",shape="box"];7223[label="vvv344",fontsize=16,color="green",shape="box"];7224[label="vvv341",fontsize=16,color="green",shape="box"];7225[label="vvv344",fontsize=16,color="green",shape="box"];7226[label="vvv341",fontsize=16,color="green",shape="box"];7227 -> 3059[label="",style="dashed", color="red", weight=0];
7227[label="primQuotInt (Neg vvv341) (error [])",fontsize=16,color="magenta"];7227 -> 7255[label="",style="dashed", color="magenta", weight=3];
3388[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (not (primCmpInt (Pos vvv72) vvv257 == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos vvv72) (not (primCmpInt (Pos vvv72) vvv257 == LT))))",fontsize=16,color="burlywood",shape="box"];30029[label="vvv72/Succ vvv720",fontsize=10,color="white",style="solid",shape="box"];3388 -> 30029[label="",style="solid", color="burlywood", weight=9];
30029 -> 3462[label="",style="solid", color="burlywood", weight=3];
30030[label="vvv72/Zero",fontsize=10,color="white",style="solid",shape="box"];3388 -> 30030[label="",style="solid", color="burlywood", weight=9];
30030 -> 3463[label="",style="solid", color="burlywood", weight=3];
7262[label="vvv3490",fontsize=16,color="green",shape="box"];7263[label="vvv3480",fontsize=16,color="green",shape="box"];7264[label="vvv350",fontsize=16,color="green",shape="box"];7265[label="vvv351",fontsize=16,color="green",shape="box"];7266[label="vvv347",fontsize=16,color="green",shape="box"];7267[label="vvv350",fontsize=16,color="green",shape="box"];7268[label="vvv351",fontsize=16,color="green",shape="box"];7269[label="vvv347",fontsize=16,color="green",shape="box"];7270 -> 3053[label="",style="dashed", color="red", weight=0];
7270[label="primQuotInt (Pos vvv347) (error [])",fontsize=16,color="magenta"];7270 -> 7294[label="",style="dashed", color="magenta", weight=3];
3394[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv1160)) (not (primCmpInt (Pos (Succ vvv1160)) vvv247 == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos (Succ vvv1160)) (not (primCmpInt (Pos (Succ vvv1160)) vvv247 == LT))))",fontsize=16,color="burlywood",shape="box"];30032[label="vvv247/Pos vvv2470",fontsize=10,color="white",style="solid",shape="box"];3394 -> 30032[label="",style="solid", color="burlywood", weight=9];
30032 -> 3468[label="",style="solid", color="burlywood", weight=3];
30033[label="vvv247/Neg vvv2470",fontsize=10,color="white",style="solid",shape="box"];3394 -> 30033[label="",style="solid", color="burlywood", weight=9];
30033 -> 3469[label="",style="solid", color="burlywood", weight=3];
3395[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv247 == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv247 == LT))))",fontsize=16,color="burlywood",shape="box"];30034[label="vvv247/Pos vvv2470",fontsize=10,color="white",style="solid",shape="box"];3395 -> 30034[label="",style="solid", color="burlywood", weight=9];
30034 -> 3470[label="",style="solid", color="burlywood", weight=3];
30035[label="vvv247/Neg vvv2470",fontsize=10,color="white",style="solid",shape="box"];3395 -> 30035[label="",style="solid", color="burlywood", weight=9];
30035 -> 3471[label="",style="solid", color="burlywood", weight=3];
7094[label="vvv318",fontsize=16,color="green",shape="box"];3400[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv470)) (not (primCmpInt (Neg (Succ vvv470)) vvv249 == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg (Succ vvv470)) (not (primCmpInt (Neg (Succ vvv470)) vvv249 == LT))))",fontsize=16,color="burlywood",shape="box"];30036[label="vvv249/Pos vvv2490",fontsize=10,color="white",style="solid",shape="box"];3400 -> 30036[label="",style="solid", color="burlywood", weight=9];
30036 -> 3477[label="",style="solid", color="burlywood", weight=3];
30037[label="vvv249/Neg vvv2490",fontsize=10,color="white",style="solid",shape="box"];3400 -> 30037[label="",style="solid", color="burlywood", weight=9];
30037 -> 3478[label="",style="solid", color="burlywood", weight=3];
3401[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv249 == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv249 == LT))))",fontsize=16,color="burlywood",shape="box"];30038[label="vvv249/Pos vvv2490",fontsize=10,color="white",style="solid",shape="box"];3401 -> 30038[label="",style="solid", color="burlywood", weight=9];
30038 -> 3479[label="",style="solid", color="burlywood", weight=3];
30039[label="vvv249/Neg vvv2490",fontsize=10,color="white",style="solid",shape="box"];3401 -> 30039[label="",style="solid", color="burlywood", weight=9];
30039 -> 3480[label="",style="solid", color="burlywood", weight=3];
7129[label="vvv324",fontsize=16,color="green",shape="box"];7884[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat (Succ vvv3770) vvv378) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="burlywood",shape="box"];30040[label="vvv378/Succ vvv3780",fontsize=10,color="white",style="solid",shape="box"];7884 -> 30040[label="",style="solid", color="burlywood", weight=9];
30040 -> 7898[label="",style="solid", color="burlywood", weight=3];
30041[label="vvv378/Zero",fontsize=10,color="white",style="solid",shape="box"];7884 -> 30041[label="",style="solid", color="burlywood", weight=9];
30041 -> 7899[label="",style="solid", color="burlywood", weight=3];
7885[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat Zero vvv378) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="burlywood",shape="box"];30042[label="vvv378/Succ vvv3780",fontsize=10,color="white",style="solid",shape="box"];7885 -> 30042[label="",style="solid", color="burlywood", weight=9];
30042 -> 7900[label="",style="solid", color="burlywood", weight=3];
30043[label="vvv378/Zero",fontsize=10,color="white",style="solid",shape="box"];7885 -> 30043[label="",style="solid", color="burlywood", weight=9];
30043 -> 7901[label="",style="solid", color="burlywood", weight=3];
5741[label="vvv274",fontsize=16,color="green",shape="box"];5742[label="Zero",fontsize=16,color="green",shape="box"];5743[label="vvv277",fontsize=16,color="green",shape="box"];5744[label="vvv274",fontsize=16,color="green",shape="box"];3424[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) vvv251 == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) vvv251 == LT))))",fontsize=16,color="burlywood",shape="box"];30044[label="vvv251/Pos vvv2510",fontsize=10,color="white",style="solid",shape="box"];3424 -> 30044[label="",style="solid", color="burlywood", weight=9];
30044 -> 3507[label="",style="solid", color="burlywood", weight=3];
30045[label="vvv251/Neg vvv2510",fontsize=10,color="white",style="solid",shape="box"];3424 -> 30045[label="",style="solid", color="burlywood", weight=9];
30045 -> 3508[label="",style="solid", color="burlywood", weight=3];
3425[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv251 == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv251 == LT))))",fontsize=16,color="burlywood",shape="box"];30046[label="vvv251/Pos vvv2510",fontsize=10,color="white",style="solid",shape="box"];3425 -> 30046[label="",style="solid", color="burlywood", weight=9];
30046 -> 3509[label="",style="solid", color="burlywood", weight=3];
30047[label="vvv251/Neg vvv2510",fontsize=10,color="white",style="solid",shape="box"];3425 -> 30047[label="",style="solid", color="burlywood", weight=9];
30047 -> 3510[label="",style="solid", color="burlywood", weight=3];
3426[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg vvv52) (not (primCmpInt (Neg vvv52) vvv259 == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg vvv52) (not (primCmpInt (Neg vvv52) vvv259 == LT))))",fontsize=16,color="burlywood",shape="box"];30048[label="vvv52/Succ vvv520",fontsize=10,color="white",style="solid",shape="box"];3426 -> 30048[label="",style="solid", color="burlywood", weight=9];
30048 -> 3511[label="",style="solid", color="burlywood", weight=3];
30049[label="vvv52/Zero",fontsize=10,color="white",style="solid",shape="box"];3426 -> 30049[label="",style="solid", color="burlywood", weight=9];
30049 -> 3512[label="",style="solid", color="burlywood", weight=3];
7196[label="vvv330",fontsize=16,color="green",shape="box"];3431[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) vvv253 == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) vvv253 == LT))))",fontsize=16,color="burlywood",shape="box"];30050[label="vvv253/Pos vvv2530",fontsize=10,color="white",style="solid",shape="box"];3431 -> 30050[label="",style="solid", color="burlywood", weight=9];
30050 -> 3518[label="",style="solid", color="burlywood", weight=3];
30051[label="vvv253/Neg vvv2530",fontsize=10,color="white",style="solid",shape="box"];3431 -> 30051[label="",style="solid", color="burlywood", weight=9];
30051 -> 3519[label="",style="solid", color="burlywood", weight=3];
3432[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv253 == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv253 == LT))))",fontsize=16,color="burlywood",shape="box"];30052[label="vvv253/Pos vvv2530",fontsize=10,color="white",style="solid",shape="box"];3432 -> 30052[label="",style="solid", color="burlywood", weight=9];
30052 -> 3520[label="",style="solid", color="burlywood", weight=3];
30053[label="vvv253/Neg vvv2530",fontsize=10,color="white",style="solid",shape="box"];3432 -> 30053[label="",style="solid", color="burlywood", weight=9];
30053 -> 3521[label="",style="solid", color="burlywood", weight=3];
7228[label="vvv335",fontsize=16,color="green",shape="box"];3437[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) vvv255 == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) vvv255 == LT))))",fontsize=16,color="burlywood",shape="box"];30054[label="vvv255/Pos vvv2550",fontsize=10,color="white",style="solid",shape="box"];3437 -> 30054[label="",style="solid", color="burlywood", weight=9];
30054 -> 3527[label="",style="solid", color="burlywood", weight=3];
30055[label="vvv255/Neg vvv2550",fontsize=10,color="white",style="solid",shape="box"];3437 -> 30055[label="",style="solid", color="burlywood", weight=9];
30055 -> 3528[label="",style="solid", color="burlywood", weight=3];
3438[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv255 == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv255 == LT))))",fontsize=16,color="burlywood",shape="box"];30056[label="vvv255/Pos vvv2550",fontsize=10,color="white",style="solid",shape="box"];3438 -> 30056[label="",style="solid", color="burlywood", weight=9];
30056 -> 3529[label="",style="solid", color="burlywood", weight=3];
30057[label="vvv255/Neg vvv2550",fontsize=10,color="white",style="solid",shape="box"];3438 -> 30057[label="",style="solid", color="burlywood", weight=9];
30057 -> 3530[label="",style="solid", color="burlywood", weight=3];
8031[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat (Succ vvv3890) vvv390) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="burlywood",shape="box"];30058[label="vvv390/Succ vvv3900",fontsize=10,color="white",style="solid",shape="box"];8031 -> 30058[label="",style="solid", color="burlywood", weight=9];
30058 -> 8101[label="",style="solid", color="burlywood", weight=3];
30059[label="vvv390/Zero",fontsize=10,color="white",style="solid",shape="box"];8031 -> 30059[label="",style="solid", color="burlywood", weight=9];
30059 -> 8102[label="",style="solid", color="burlywood", weight=3];
8032[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat Zero vvv390) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="burlywood",shape="box"];30060[label="vvv390/Succ vvv3900",fontsize=10,color="white",style="solid",shape="box"];8032 -> 30060[label="",style="solid", color="burlywood", weight=9];
30060 -> 8103[label="",style="solid", color="burlywood", weight=3];
30061[label="vvv390/Zero",fontsize=10,color="white",style="solid",shape="box"];8032 -> 30061[label="",style="solid", color="burlywood", weight=9];
30061 -> 8104[label="",style="solid", color="burlywood", weight=3];
5751[label="Zero",fontsize=16,color="green",shape="box"];5752[label="vvv281",fontsize=16,color="green",shape="box"];5753[label="vvv284",fontsize=16,color="green",shape="box"];5754[label="vvv281",fontsize=16,color="green",shape="box"];3457[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos vvv72) (not (primCmpInt (Pos vvv72) vvv261 == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos vvv72) (not (primCmpInt (Pos vvv72) vvv261 == LT))))",fontsize=16,color="burlywood",shape="box"];30062[label="vvv72/Succ vvv720",fontsize=10,color="white",style="solid",shape="box"];3457 -> 30062[label="",style="solid", color="burlywood", weight=9];
30062 -> 3552[label="",style="solid", color="burlywood", weight=3];
30063[label="vvv72/Zero",fontsize=10,color="white",style="solid",shape="box"];3457 -> 30063[label="",style="solid", color="burlywood", weight=9];
30063 -> 3553[label="",style="solid", color="burlywood", weight=3];
7255[label="vvv341",fontsize=16,color="green",shape="box"];3462[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) vvv257 == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) vvv257 == LT))))",fontsize=16,color="burlywood",shape="box"];30064[label="vvv257/Pos vvv2570",fontsize=10,color="white",style="solid",shape="box"];3462 -> 30064[label="",style="solid", color="burlywood", weight=9];
30064 -> 3559[label="",style="solid", color="burlywood", weight=3];
30065[label="vvv257/Neg vvv2570",fontsize=10,color="white",style="solid",shape="box"];3462 -> 30065[label="",style="solid", color="burlywood", weight=9];
30065 -> 3560[label="",style="solid", color="burlywood", weight=3];
3463[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv257 == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv257 == LT))))",fontsize=16,color="burlywood",shape="box"];30066[label="vvv257/Pos vvv2570",fontsize=10,color="white",style="solid",shape="box"];3463 -> 30066[label="",style="solid", color="burlywood", weight=9];
30066 -> 3561[label="",style="solid", color="burlywood", weight=3];
30067[label="vvv257/Neg vvv2570",fontsize=10,color="white",style="solid",shape="box"];3463 -> 30067[label="",style="solid", color="burlywood", weight=9];
30067 -> 3562[label="",style="solid", color="burlywood", weight=3];
7294[label="vvv347",fontsize=16,color="green",shape="box"];3468[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv1160)) (not (primCmpInt (Pos (Succ vvv1160)) (Pos vvv2470) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos (Succ vvv1160)) (not (primCmpInt (Pos (Succ vvv1160)) (Pos vvv2470) == LT))))",fontsize=16,color="black",shape="box"];3468 -> 3568[label="",style="solid", color="black", weight=3];
3469[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv1160)) (not (primCmpInt (Pos (Succ vvv1160)) (Neg vvv2470) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos (Succ vvv1160)) (not (primCmpInt (Pos (Succ vvv1160)) (Neg vvv2470) == LT))))",fontsize=16,color="black",shape="box"];3469 -> 3569[label="",style="solid", color="black", weight=3];
3470[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2470) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2470) == LT))))",fontsize=16,color="burlywood",shape="box"];30068[label="vvv2470/Succ vvv24700",fontsize=10,color="white",style="solid",shape="box"];3470 -> 30068[label="",style="solid", color="burlywood", weight=9];
30068 -> 3570[label="",style="solid", color="burlywood", weight=3];
30069[label="vvv2470/Zero",fontsize=10,color="white",style="solid",shape="box"];3470 -> 30069[label="",style="solid", color="burlywood", weight=9];
30069 -> 3571[label="",style="solid", color="burlywood", weight=3];
3471[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2470) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2470) == LT))))",fontsize=16,color="burlywood",shape="box"];30070[label="vvv2470/Succ vvv24700",fontsize=10,color="white",style="solid",shape="box"];3471 -> 30070[label="",style="solid", color="burlywood", weight=9];
30070 -> 3572[label="",style="solid", color="burlywood", weight=3];
30071[label="vvv2470/Zero",fontsize=10,color="white",style="solid",shape="box"];3471 -> 30071[label="",style="solid", color="burlywood", weight=9];
30071 -> 3573[label="",style="solid", color="burlywood", weight=3];
3477[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv470)) (not (primCmpInt (Neg (Succ vvv470)) (Pos vvv2490) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg (Succ vvv470)) (not (primCmpInt (Neg (Succ vvv470)) (Pos vvv2490) == LT))))",fontsize=16,color="black",shape="box"];3477 -> 3578[label="",style="solid", color="black", weight=3];
3478[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv470)) (not (primCmpInt (Neg (Succ vvv470)) (Neg vvv2490) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg (Succ vvv470)) (not (primCmpInt (Neg (Succ vvv470)) (Neg vvv2490) == LT))))",fontsize=16,color="black",shape="box"];3478 -> 3579[label="",style="solid", color="black", weight=3];
3479[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2490) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2490) == LT))))",fontsize=16,color="burlywood",shape="box"];30072[label="vvv2490/Succ vvv24900",fontsize=10,color="white",style="solid",shape="box"];3479 -> 30072[label="",style="solid", color="burlywood", weight=9];
30072 -> 3580[label="",style="solid", color="burlywood", weight=3];
30073[label="vvv2490/Zero",fontsize=10,color="white",style="solid",shape="box"];3479 -> 30073[label="",style="solid", color="burlywood", weight=9];
30073 -> 3581[label="",style="solid", color="burlywood", weight=3];
3480[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2490) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2490) == LT))))",fontsize=16,color="burlywood",shape="box"];30074[label="vvv2490/Succ vvv24900",fontsize=10,color="white",style="solid",shape="box"];3480 -> 30074[label="",style="solid", color="burlywood", weight=9];
30074 -> 3582[label="",style="solid", color="burlywood", weight=3];
30075[label="vvv2490/Zero",fontsize=10,color="white",style="solid",shape="box"];3480 -> 30075[label="",style="solid", color="burlywood", weight=9];
30075 -> 3583[label="",style="solid", color="burlywood", weight=3];
7898[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat (Succ vvv3770) (Succ vvv3780)) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="black",shape="box"];7898 -> 7908[label="",style="solid", color="black", weight=3];
7899[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat (Succ vvv3770) Zero) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="black",shape="box"];7899 -> 7909[label="",style="solid", color="black", weight=3];
7900[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat Zero (Succ vvv3780)) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="black",shape="box"];7900 -> 7910[label="",style="solid", color="black", weight=3];
7901[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat Zero Zero) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="black",shape="box"];7901 -> 7911[label="",style="solid", color="black", weight=3];
3507[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Pos vvv2510) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Pos vvv2510) == LT))))",fontsize=16,color="black",shape="box"];3507 -> 3612[label="",style="solid", color="black", weight=3];
3508[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Neg vvv2510) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Neg vvv2510) == LT))))",fontsize=16,color="black",shape="box"];3508 -> 3613[label="",style="solid", color="black", weight=3];
3509[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2510) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2510) == LT))))",fontsize=16,color="burlywood",shape="box"];30076[label="vvv2510/Succ vvv25100",fontsize=10,color="white",style="solid",shape="box"];3509 -> 30076[label="",style="solid", color="burlywood", weight=9];
30076 -> 3614[label="",style="solid", color="burlywood", weight=3];
30077[label="vvv2510/Zero",fontsize=10,color="white",style="solid",shape="box"];3509 -> 30077[label="",style="solid", color="burlywood", weight=9];
30077 -> 3615[label="",style="solid", color="burlywood", weight=3];
3510[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2510) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2510) == LT))))",fontsize=16,color="burlywood",shape="box"];30078[label="vvv2510/Succ vvv25100",fontsize=10,color="white",style="solid",shape="box"];3510 -> 30078[label="",style="solid", color="burlywood", weight=9];
30078 -> 3616[label="",style="solid", color="burlywood", weight=3];
30079[label="vvv2510/Zero",fontsize=10,color="white",style="solid",shape="box"];3510 -> 30079[label="",style="solid", color="burlywood", weight=9];
30079 -> 3617[label="",style="solid", color="burlywood", weight=3];
3511[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) vvv259 == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) vvv259 == LT))))",fontsize=16,color="burlywood",shape="box"];30080[label="vvv259/Pos vvv2590",fontsize=10,color="white",style="solid",shape="box"];3511 -> 30080[label="",style="solid", color="burlywood", weight=9];
30080 -> 3618[label="",style="solid", color="burlywood", weight=3];
30081[label="vvv259/Neg vvv2590",fontsize=10,color="white",style="solid",shape="box"];3511 -> 30081[label="",style="solid", color="burlywood", weight=9];
30081 -> 3619[label="",style="solid", color="burlywood", weight=3];
3512[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv259 == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv259 == LT))))",fontsize=16,color="burlywood",shape="box"];30082[label="vvv259/Pos vvv2590",fontsize=10,color="white",style="solid",shape="box"];3512 -> 30082[label="",style="solid", color="burlywood", weight=9];
30082 -> 3620[label="",style="solid", color="burlywood", weight=3];
30083[label="vvv259/Neg vvv2590",fontsize=10,color="white",style="solid",shape="box"];3512 -> 30083[label="",style="solid", color="burlywood", weight=9];
30083 -> 3621[label="",style="solid", color="burlywood", weight=3];
3518[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Pos vvv2530) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Pos vvv2530) == LT))))",fontsize=16,color="black",shape="box"];3518 -> 3627[label="",style="solid", color="black", weight=3];
3519[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Neg vvv2530) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Neg vvv2530) == LT))))",fontsize=16,color="black",shape="box"];3519 -> 3628[label="",style="solid", color="black", weight=3];
3520[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2530) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2530) == LT))))",fontsize=16,color="burlywood",shape="box"];30084[label="vvv2530/Succ vvv25300",fontsize=10,color="white",style="solid",shape="box"];3520 -> 30084[label="",style="solid", color="burlywood", weight=9];
30084 -> 3629[label="",style="solid", color="burlywood", weight=3];
30085[label="vvv2530/Zero",fontsize=10,color="white",style="solid",shape="box"];3520 -> 30085[label="",style="solid", color="burlywood", weight=9];
30085 -> 3630[label="",style="solid", color="burlywood", weight=3];
3521[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2530) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2530) == LT))))",fontsize=16,color="burlywood",shape="box"];30086[label="vvv2530/Succ vvv25300",fontsize=10,color="white",style="solid",shape="box"];3521 -> 30086[label="",style="solid", color="burlywood", weight=9];
30086 -> 3631[label="",style="solid", color="burlywood", weight=3];
30087[label="vvv2530/Zero",fontsize=10,color="white",style="solid",shape="box"];3521 -> 30087[label="",style="solid", color="burlywood", weight=9];
30087 -> 3632[label="",style="solid", color="burlywood", weight=3];
3527[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Pos vvv2550) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Pos vvv2550) == LT))))",fontsize=16,color="black",shape="box"];3527 -> 3638[label="",style="solid", color="black", weight=3];
3528[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Neg vvv2550) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Neg vvv2550) == LT))))",fontsize=16,color="black",shape="box"];3528 -> 3639[label="",style="solid", color="black", weight=3];
3529[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2550) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2550) == LT))))",fontsize=16,color="burlywood",shape="box"];30088[label="vvv2550/Succ vvv25500",fontsize=10,color="white",style="solid",shape="box"];3529 -> 30088[label="",style="solid", color="burlywood", weight=9];
30088 -> 3640[label="",style="solid", color="burlywood", weight=3];
30089[label="vvv2550/Zero",fontsize=10,color="white",style="solid",shape="box"];3529 -> 30089[label="",style="solid", color="burlywood", weight=9];
30089 -> 3641[label="",style="solid", color="burlywood", weight=3];
3530[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2550) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2550) == LT))))",fontsize=16,color="burlywood",shape="box"];30090[label="vvv2550/Succ vvv25500",fontsize=10,color="white",style="solid",shape="box"];3530 -> 30090[label="",style="solid", color="burlywood", weight=9];
30090 -> 3642[label="",style="solid", color="burlywood", weight=3];
30091[label="vvv2550/Zero",fontsize=10,color="white",style="solid",shape="box"];3530 -> 30091[label="",style="solid", color="burlywood", weight=9];
30091 -> 3643[label="",style="solid", color="burlywood", weight=3];
8101[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat (Succ vvv3890) (Succ vvv3900)) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="black",shape="box"];8101 -> 8188[label="",style="solid", color="black", weight=3];
8102[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat (Succ vvv3890) Zero) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="black",shape="box"];8102 -> 8189[label="",style="solid", color="black", weight=3];
8103[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat Zero (Succ vvv3900)) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="black",shape="box"];8103 -> 8190[label="",style="solid", color="black", weight=3];
8104[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat Zero Zero) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="black",shape="box"];8104 -> 8191[label="",style="solid", color="black", weight=3];
3552[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) vvv261 == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) vvv261 == LT))))",fontsize=16,color="burlywood",shape="box"];30092[label="vvv261/Pos vvv2610",fontsize=10,color="white",style="solid",shape="box"];3552 -> 30092[label="",style="solid", color="burlywood", weight=9];
30092 -> 3668[label="",style="solid", color="burlywood", weight=3];
30093[label="vvv261/Neg vvv2610",fontsize=10,color="white",style="solid",shape="box"];3552 -> 30093[label="",style="solid", color="burlywood", weight=9];
30093 -> 3669[label="",style="solid", color="burlywood", weight=3];
3553[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv261 == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv261 == LT))))",fontsize=16,color="burlywood",shape="box"];30094[label="vvv261/Pos vvv2610",fontsize=10,color="white",style="solid",shape="box"];3553 -> 30094[label="",style="solid", color="burlywood", weight=9];
30094 -> 3670[label="",style="solid", color="burlywood", weight=3];
30095[label="vvv261/Neg vvv2610",fontsize=10,color="white",style="solid",shape="box"];3553 -> 30095[label="",style="solid", color="burlywood", weight=9];
30095 -> 3671[label="",style="solid", color="burlywood", weight=3];
3559[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Pos vvv2570) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Pos vvv2570) == LT))))",fontsize=16,color="black",shape="box"];3559 -> 3677[label="",style="solid", color="black", weight=3];
3560[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Neg vvv2570) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Neg vvv2570) == LT))))",fontsize=16,color="black",shape="box"];3560 -> 3678[label="",style="solid", color="black", weight=3];
3561[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2570) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2570) == LT))))",fontsize=16,color="burlywood",shape="box"];30096[label="vvv2570/Succ vvv25700",fontsize=10,color="white",style="solid",shape="box"];3561 -> 30096[label="",style="solid", color="burlywood", weight=9];
30096 -> 3679[label="",style="solid", color="burlywood", weight=3];
30097[label="vvv2570/Zero",fontsize=10,color="white",style="solid",shape="box"];3561 -> 30097[label="",style="solid", color="burlywood", weight=9];
30097 -> 3680[label="",style="solid", color="burlywood", weight=3];
3562[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2570) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2570) == LT))))",fontsize=16,color="burlywood",shape="box"];30098[label="vvv2570/Succ vvv25700",fontsize=10,color="white",style="solid",shape="box"];3562 -> 30098[label="",style="solid", color="burlywood", weight=9];
30098 -> 3681[label="",style="solid", color="burlywood", weight=3];
30099[label="vvv2570/Zero",fontsize=10,color="white",style="solid",shape="box"];3562 -> 30099[label="",style="solid", color="burlywood", weight=9];
30099 -> 3682[label="",style="solid", color="burlywood", weight=3];
3568 -> 9292[label="",style="dashed", color="red", weight=0];
3568[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv1160)) (not (primCmpNat (Succ vvv1160) vvv2470 == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos (Succ vvv1160)) (not (primCmpNat (Succ vvv1160) vvv2470 == LT))))",fontsize=16,color="magenta"];3568 -> 9293[label="",style="dashed", color="magenta", weight=3];
3568 -> 9294[label="",style="dashed", color="magenta", weight=3];
3568 -> 9295[label="",style="dashed", color="magenta", weight=3];
3568 -> 9296[label="",style="dashed", color="magenta", weight=3];
3568 -> 9297[label="",style="dashed", color="magenta", weight=3];
3568 -> 9298[label="",style="dashed", color="magenta", weight=3];
3569[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv1160)) (not (GT == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos (Succ vvv1160)) (not (GT == LT))))",fontsize=16,color="black",shape="triangle"];3569 -> 3690[label="",style="solid", color="black", weight=3];
3570[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv24700)) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv24700)) == LT))))",fontsize=16,color="black",shape="box"];3570 -> 3691[label="",style="solid", color="black", weight=3];
3571[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3571 -> 3692[label="",style="solid", color="black", weight=3];
3572[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv24700)) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv24700)) == LT))))",fontsize=16,color="black",shape="box"];3572 -> 3693[label="",style="solid", color="black", weight=3];
3573[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3573 -> 3694[label="",style="solid", color="black", weight=3];
3578[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv470)) (not (LT == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg (Succ vvv470)) (not (LT == LT))))",fontsize=16,color="black",shape="triangle"];3578 -> 3699[label="",style="solid", color="black", weight=3];
3579 -> 9386[label="",style="dashed", color="red", weight=0];
3579[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv470)) (not (primCmpNat vvv2490 (Succ vvv470) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg (Succ vvv470)) (not (primCmpNat vvv2490 (Succ vvv470) == LT))))",fontsize=16,color="magenta"];3579 -> 9387[label="",style="dashed", color="magenta", weight=3];
3579 -> 9388[label="",style="dashed", color="magenta", weight=3];
3579 -> 9389[label="",style="dashed", color="magenta", weight=3];
3579 -> 9390[label="",style="dashed", color="magenta", weight=3];
3579 -> 9391[label="",style="dashed", color="magenta", weight=3];
3579 -> 9392[label="",style="dashed", color="magenta", weight=3];
3580[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv24900)) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv24900)) == LT))))",fontsize=16,color="black",shape="box"];3580 -> 3702[label="",style="solid", color="black", weight=3];
3581[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3581 -> 3703[label="",style="solid", color="black", weight=3];
3582[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv24900)) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv24900)) == LT))))",fontsize=16,color="black",shape="box"];3582 -> 3704[label="",style="solid", color="black", weight=3];
3583[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3583 -> 3705[label="",style="solid", color="black", weight=3];
7908 -> 7838[label="",style="dashed", color="red", weight=0];
7908[label="primQuotInt (Pos vvv376) (gcd1 (primEqNat vvv3770 vvv3780) (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="magenta"];7908 -> 7946[label="",style="dashed", color="magenta", weight=3];
7908 -> 7947[label="",style="dashed", color="magenta", weight=3];
7909 -> 5644[label="",style="dashed", color="red", weight=0];
7909[label="primQuotInt (Pos vvv376) (gcd1 False (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="magenta"];7909 -> 7948[label="",style="dashed", color="magenta", weight=3];
7909 -> 7949[label="",style="dashed", color="magenta", weight=3];
7909 -> 7950[label="",style="dashed", color="magenta", weight=3];
7910 -> 5644[label="",style="dashed", color="red", weight=0];
7910[label="primQuotInt (Pos vvv376) (gcd1 False (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="magenta"];7910 -> 7951[label="",style="dashed", color="magenta", weight=3];
7910 -> 7952[label="",style="dashed", color="magenta", weight=3];
7910 -> 7953[label="",style="dashed", color="magenta", weight=3];
7911[label="primQuotInt (Pos vvv376) (gcd1 True (Pos (Succ vvv379)) (Neg (Succ vvv380)))",fontsize=16,color="black",shape="box"];7911 -> 7954[label="",style="solid", color="black", weight=3];
3612[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (LT == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg (Succ vvv520)) (not (LT == LT))))",fontsize=16,color="black",shape="triangle"];3612 -> 3732[label="",style="solid", color="black", weight=3];
3613 -> 9466[label="",style="dashed", color="red", weight=0];
3613[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpNat vvv2510 (Succ vvv520) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg (Succ vvv520)) (not (primCmpNat vvv2510 (Succ vvv520) == LT))))",fontsize=16,color="magenta"];3613 -> 9467[label="",style="dashed", color="magenta", weight=3];
3613 -> 9468[label="",style="dashed", color="magenta", weight=3];
3613 -> 9469[label="",style="dashed", color="magenta", weight=3];
3613 -> 9470[label="",style="dashed", color="magenta", weight=3];
3613 -> 9471[label="",style="dashed", color="magenta", weight=3];
3613 -> 9472[label="",style="dashed", color="magenta", weight=3];
3614[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv25100)) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv25100)) == LT))))",fontsize=16,color="black",shape="box"];3614 -> 3735[label="",style="solid", color="black", weight=3];
3615[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3615 -> 3736[label="",style="solid", color="black", weight=3];
3616[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv25100)) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv25100)) == LT))))",fontsize=16,color="black",shape="box"];3616 -> 3737[label="",style="solid", color="black", weight=3];
3617[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3617 -> 3738[label="",style="solid", color="black", weight=3];
3618[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Pos vvv2590) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Pos vvv2590) == LT))))",fontsize=16,color="black",shape="box"];3618 -> 3739[label="",style="solid", color="black", weight=3];
3619[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Neg vvv2590) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv520)) (not (primCmpInt (Neg (Succ vvv520)) (Neg vvv2590) == LT))))",fontsize=16,color="black",shape="box"];3619 -> 3740[label="",style="solid", color="black", weight=3];
3620[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2590) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2590) == LT))))",fontsize=16,color="burlywood",shape="box"];30106[label="vvv2590/Succ vvv25900",fontsize=10,color="white",style="solid",shape="box"];3620 -> 30106[label="",style="solid", color="burlywood", weight=9];
30106 -> 3741[label="",style="solid", color="burlywood", weight=3];
30107[label="vvv2590/Zero",fontsize=10,color="white",style="solid",shape="box"];3620 -> 30107[label="",style="solid", color="burlywood", weight=9];
30107 -> 3742[label="",style="solid", color="burlywood", weight=3];
3621[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2590) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2590) == LT))))",fontsize=16,color="burlywood",shape="box"];30108[label="vvv2590/Succ vvv25900",fontsize=10,color="white",style="solid",shape="box"];3621 -> 30108[label="",style="solid", color="burlywood", weight=9];
30108 -> 3743[label="",style="solid", color="burlywood", weight=3];
30109[label="vvv2590/Zero",fontsize=10,color="white",style="solid",shape="box"];3621 -> 30109[label="",style="solid", color="burlywood", weight=9];
30109 -> 3744[label="",style="solid", color="burlywood", weight=3];
3627[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (LT == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg (Succ vvv520)) (not (LT == LT))))",fontsize=16,color="black",shape="triangle"];3627 -> 3749[label="",style="solid", color="black", weight=3];
3628 -> 9567[label="",style="dashed", color="red", weight=0];
3628[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpNat vvv2530 (Succ vvv520) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg (Succ vvv520)) (not (primCmpNat vvv2530 (Succ vvv520) == LT))))",fontsize=16,color="magenta"];3628 -> 9568[label="",style="dashed", color="magenta", weight=3];
3628 -> 9569[label="",style="dashed", color="magenta", weight=3];
3628 -> 9570[label="",style="dashed", color="magenta", weight=3];
3628 -> 9571[label="",style="dashed", color="magenta", weight=3];
3628 -> 9572[label="",style="dashed", color="magenta", weight=3];
3628 -> 9573[label="",style="dashed", color="magenta", weight=3];
3629[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv25300)) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv25300)) == LT))))",fontsize=16,color="black",shape="box"];3629 -> 3752[label="",style="solid", color="black", weight=3];
3630[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3630 -> 3753[label="",style="solid", color="black", weight=3];
3631[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv25300)) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv25300)) == LT))))",fontsize=16,color="black",shape="box"];3631 -> 3754[label="",style="solid", color="black", weight=3];
3632[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3632 -> 3755[label="",style="solid", color="black", weight=3];
3638 -> 9662[label="",style="dashed", color="red", weight=0];
3638[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpNat (Succ vvv720) vvv2550 == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos (Succ vvv720)) (not (primCmpNat (Succ vvv720) vvv2550 == LT))))",fontsize=16,color="magenta"];3638 -> 9663[label="",style="dashed", color="magenta", weight=3];
3638 -> 9664[label="",style="dashed", color="magenta", weight=3];
3638 -> 9665[label="",style="dashed", color="magenta", weight=3];
3638 -> 9666[label="",style="dashed", color="magenta", weight=3];
3638 -> 9667[label="",style="dashed", color="magenta", weight=3];
3638 -> 9668[label="",style="dashed", color="magenta", weight=3];
3639[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (GT == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos (Succ vvv720)) (not (GT == LT))))",fontsize=16,color="black",shape="triangle"];3639 -> 3762[label="",style="solid", color="black", weight=3];
3640[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv25500)) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv25500)) == LT))))",fontsize=16,color="black",shape="box"];3640 -> 3763[label="",style="solid", color="black", weight=3];
3641[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3641 -> 3764[label="",style="solid", color="black", weight=3];
3642[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv25500)) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv25500)) == LT))))",fontsize=16,color="black",shape="box"];3642 -> 3765[label="",style="solid", color="black", weight=3];
3643[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3643 -> 3766[label="",style="solid", color="black", weight=3];
8188 -> 7985[label="",style="dashed", color="red", weight=0];
8188[label="primQuotInt (Neg vvv388) (gcd1 (primEqNat vvv3890 vvv3900) (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="magenta"];8188 -> 8219[label="",style="dashed", color="magenta", weight=3];
8188 -> 8220[label="",style="dashed", color="magenta", weight=3];
8189 -> 5655[label="",style="dashed", color="red", weight=0];
8189[label="primQuotInt (Neg vvv388) (gcd1 False (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="magenta"];8189 -> 8221[label="",style="dashed", color="magenta", weight=3];
8189 -> 8222[label="",style="dashed", color="magenta", weight=3];
8189 -> 8223[label="",style="dashed", color="magenta", weight=3];
8190 -> 5655[label="",style="dashed", color="red", weight=0];
8190[label="primQuotInt (Neg vvv388) (gcd1 False (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="magenta"];8190 -> 8224[label="",style="dashed", color="magenta", weight=3];
8190 -> 8225[label="",style="dashed", color="magenta", weight=3];
8190 -> 8226[label="",style="dashed", color="magenta", weight=3];
8191[label="primQuotInt (Neg vvv388) (gcd1 True (Neg (Succ vvv391)) (Pos (Succ vvv392)))",fontsize=16,color="black",shape="box"];8191 -> 8227[label="",style="solid", color="black", weight=3];
3668[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Pos vvv2610) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Pos vvv2610) == LT))))",fontsize=16,color="black",shape="box"];3668 -> 3789[label="",style="solid", color="black", weight=3];
3669[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Neg vvv2610) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv720)) (not (primCmpInt (Pos (Succ vvv720)) (Neg vvv2610) == LT))))",fontsize=16,color="black",shape="box"];3669 -> 3790[label="",style="solid", color="black", weight=3];
3670[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2610) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2610) == LT))))",fontsize=16,color="burlywood",shape="box"];30115[label="vvv2610/Succ vvv26100",fontsize=10,color="white",style="solid",shape="box"];3670 -> 30115[label="",style="solid", color="burlywood", weight=9];
30115 -> 3791[label="",style="solid", color="burlywood", weight=3];
30116[label="vvv2610/Zero",fontsize=10,color="white",style="solid",shape="box"];3670 -> 30116[label="",style="solid", color="burlywood", weight=9];
30116 -> 3792[label="",style="solid", color="burlywood", weight=3];
3671[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2610) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2610) == LT))))",fontsize=16,color="burlywood",shape="box"];30117[label="vvv2610/Succ vvv26100",fontsize=10,color="white",style="solid",shape="box"];3671 -> 30117[label="",style="solid", color="burlywood", weight=9];
30117 -> 3793[label="",style="solid", color="burlywood", weight=3];
30118[label="vvv2610/Zero",fontsize=10,color="white",style="solid",shape="box"];3671 -> 30118[label="",style="solid", color="burlywood", weight=9];
30118 -> 3794[label="",style="solid", color="burlywood", weight=3];
3677 -> 9775[label="",style="dashed", color="red", weight=0];
3677[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpNat (Succ vvv720) vvv2570 == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos (Succ vvv720)) (not (primCmpNat (Succ vvv720) vvv2570 == LT))))",fontsize=16,color="magenta"];3677 -> 9776[label="",style="dashed", color="magenta", weight=3];
3677 -> 9777[label="",style="dashed", color="magenta", weight=3];
3677 -> 9778[label="",style="dashed", color="magenta", weight=3];
3677 -> 9779[label="",style="dashed", color="magenta", weight=3];
3677 -> 9780[label="",style="dashed", color="magenta", weight=3];
3677 -> 9781[label="",style="dashed", color="magenta", weight=3];
3678[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (GT == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos (Succ vvv720)) (not (GT == LT))))",fontsize=16,color="black",shape="triangle"];3678 -> 3801[label="",style="solid", color="black", weight=3];
3679[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv25700)) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv25700)) == LT))))",fontsize=16,color="black",shape="box"];3679 -> 3802[label="",style="solid", color="black", weight=3];
3680[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3680 -> 3803[label="",style="solid", color="black", weight=3];
3681[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv25700)) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv25700)) == LT))))",fontsize=16,color="black",shape="box"];3681 -> 3804[label="",style="solid", color="black", weight=3];
3682[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3682 -> 3805[label="",style="solid", color="black", weight=3];
9293[label="vvv234",fontsize=16,color="green",shape="box"];9294[label="Succ vvv1160",fontsize=16,color="green",shape="box"];9295[label="vvv1160",fontsize=16,color="green",shape="box"];9296[label="vvv220",fontsize=16,color="green",shape="box"];9297[label="vvv2470",fontsize=16,color="green",shape="box"];9298[label="vvv115",fontsize=16,color="green",shape="box"];9292[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat vvv417 vvv418 == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat vvv417 vvv418 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30120[label="vvv417/Succ vvv4170",fontsize=10,color="white",style="solid",shape="box"];9292 -> 30120[label="",style="solid", color="burlywood", weight=9];
30120 -> 9353[label="",style="solid", color="burlywood", weight=3];
30121[label="vvv417/Zero",fontsize=10,color="white",style="solid",shape="box"];9292 -> 30121[label="",style="solid", color="burlywood", weight=9];
30121 -> 9354[label="",style="solid", color="burlywood", weight=3];
3690[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv1160)) (not False)) vvv234) (abs (Pos vvv220)) (absReal1 (Pos (Succ vvv1160)) (not False)))",fontsize=16,color="black",shape="triangle"];3690 -> 3812[label="",style="solid", color="black", weight=3];
3691[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv24700) == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv24700) == LT))))",fontsize=16,color="black",shape="box"];3691 -> 3813[label="",style="solid", color="black", weight=3];
3692[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3692 -> 3814[label="",style="solid", color="black", weight=3];
3693[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (GT == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];3693 -> 3815[label="",style="solid", color="black", weight=3];
3694 -> 3692[label="",style="dashed", color="red", weight=0];
3694[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];3699[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv470)) (not True)) vvv235) (abs (Neg vvv222)) (absReal1 (Neg (Succ vvv470)) (not True)))",fontsize=16,color="black",shape="box"];3699 -> 3821[label="",style="solid", color="black", weight=3];
9387[label="vvv235",fontsize=16,color="green",shape="box"];9388[label="vvv2490",fontsize=16,color="green",shape="box"];9389[label="vvv46",fontsize=16,color="green",shape="box"];9390[label="vvv222",fontsize=16,color="green",shape="box"];9391[label="vvv470",fontsize=16,color="green",shape="box"];9392[label="Succ vvv470",fontsize=16,color="green",shape="box"];9386[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat vvv424 vvv425 == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat vvv424 vvv425 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30123[label="vvv424/Succ vvv4240",fontsize=10,color="white",style="solid",shape="box"];9386 -> 30123[label="",style="solid", color="burlywood", weight=9];
30123 -> 9447[label="",style="solid", color="burlywood", weight=3];
30124[label="vvv424/Zero",fontsize=10,color="white",style="solid",shape="box"];9386 -> 30124[label="",style="solid", color="burlywood", weight=9];
30124 -> 9448[label="",style="solid", color="burlywood", weight=3];
3702[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (LT == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];3702 -> 3824[label="",style="solid", color="black", weight=3];
3703[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3703 -> 3825[label="",style="solid", color="black", weight=3];
3704[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv24900) Zero == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv24900) Zero == LT))))",fontsize=16,color="black",shape="box"];3704 -> 3826[label="",style="solid", color="black", weight=3];
3705 -> 3703[label="",style="dashed", color="red", weight=0];
3705[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];7946[label="vvv3780",fontsize=16,color="green",shape="box"];7947[label="vvv3770",fontsize=16,color="green",shape="box"];7948[label="vvv376",fontsize=16,color="green",shape="box"];7949[label="vvv379",fontsize=16,color="green",shape="box"];7950[label="vvv380",fontsize=16,color="green",shape="box"];7951[label="vvv376",fontsize=16,color="green",shape="box"];7952[label="vvv379",fontsize=16,color="green",shape="box"];7953[label="vvv380",fontsize=16,color="green",shape="box"];7954 -> 3053[label="",style="dashed", color="red", weight=0];
7954[label="primQuotInt (Pos vvv376) (error [])",fontsize=16,color="magenta"];7954 -> 7961[label="",style="dashed", color="magenta", weight=3];
3732[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not True)) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg (Succ vvv520)) (not True)))",fontsize=16,color="black",shape="box"];3732 -> 3858[label="",style="solid", color="black", weight=3];
9467[label="Succ vvv520",fontsize=16,color="green",shape="box"];9468[label="vvv194",fontsize=16,color="green",shape="box"];9469[label="vvv1950",fontsize=16,color="green",shape="box"];9470[label="vvv2510",fontsize=16,color="green",shape="box"];9471[label="vvv520",fontsize=16,color="green",shape="box"];9472[label="vvv236",fontsize=16,color="green",shape="box"];9466[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat vvv431 vvv432 == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat vvv431 vvv432 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30127[label="vvv431/Succ vvv4310",fontsize=10,color="white",style="solid",shape="box"];9466 -> 30127[label="",style="solid", color="burlywood", weight=9];
30127 -> 9527[label="",style="solid", color="burlywood", weight=3];
30128[label="vvv431/Zero",fontsize=10,color="white",style="solid",shape="box"];9466 -> 30128[label="",style="solid", color="burlywood", weight=9];
30128 -> 9528[label="",style="solid", color="burlywood", weight=3];
3735[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (LT == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];3735 -> 3861[label="",style="solid", color="black", weight=3];
3736[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3736 -> 3862[label="",style="solid", color="black", weight=3];
3737[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv25100) Zero == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv25100) Zero == LT))))",fontsize=16,color="black",shape="box"];3737 -> 3863[label="",style="solid", color="black", weight=3];
3738 -> 3736[label="",style="dashed", color="red", weight=0];
3738[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];3739[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (LT == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv520)) (not (LT == LT))))",fontsize=16,color="black",shape="triangle"];3739 -> 3864[label="",style="solid", color="black", weight=3];
3740 -> 9939[label="",style="dashed", color="red", weight=0];
3740[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not (primCmpNat vvv2590 (Succ vvv520) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv520)) (not (primCmpNat vvv2590 (Succ vvv520) == LT))))",fontsize=16,color="magenta"];3740 -> 9940[label="",style="dashed", color="magenta", weight=3];
3740 -> 9941[label="",style="dashed", color="magenta", weight=3];
3740 -> 9942[label="",style="dashed", color="magenta", weight=3];
3740 -> 9943[label="",style="dashed", color="magenta", weight=3];
3740 -> 9944[label="",style="dashed", color="magenta", weight=3];
3741[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv25900)) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv25900)) == LT))))",fontsize=16,color="black",shape="box"];3741 -> 3867[label="",style="solid", color="black", weight=3];
3742[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3742 -> 3868[label="",style="solid", color="black", weight=3];
3743[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv25900)) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv25900)) == LT))))",fontsize=16,color="black",shape="box"];3743 -> 3869[label="",style="solid", color="black", weight=3];
3744[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3744 -> 3870[label="",style="solid", color="black", weight=3];
3749[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not True)) vvv237) (abs (Pos vvv224)) (absReal1 (Neg (Succ vvv520)) (not True)))",fontsize=16,color="black",shape="box"];3749 -> 3876[label="",style="solid", color="black", weight=3];
9568[label="vvv2530",fontsize=16,color="green",shape="box"];9569[label="vvv520",fontsize=16,color="green",shape="box"];9570[label="vvv51",fontsize=16,color="green",shape="box"];9571[label="vvv224",fontsize=16,color="green",shape="box"];9572[label="Succ vvv520",fontsize=16,color="green",shape="box"];9573[label="vvv237",fontsize=16,color="green",shape="box"];9567[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat vvv438 vvv439 == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat vvv438 vvv439 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30131[label="vvv438/Succ vvv4380",fontsize=10,color="white",style="solid",shape="box"];9567 -> 30131[label="",style="solid", color="burlywood", weight=9];
30131 -> 9628[label="",style="solid", color="burlywood", weight=3];
30132[label="vvv438/Zero",fontsize=10,color="white",style="solid",shape="box"];9567 -> 30132[label="",style="solid", color="burlywood", weight=9];
30132 -> 9629[label="",style="solid", color="burlywood", weight=3];
3752[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (LT == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];3752 -> 3879[label="",style="solid", color="black", weight=3];
3753[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3753 -> 3880[label="",style="solid", color="black", weight=3];
3754[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv25300) Zero == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv25300) Zero == LT))))",fontsize=16,color="black",shape="box"];3754 -> 3881[label="",style="solid", color="black", weight=3];
3755 -> 3753[label="",style="dashed", color="red", weight=0];
3755[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];9663[label="vvv1990",fontsize=16,color="green",shape="box"];9664[label="vvv720",fontsize=16,color="green",shape="box"];9665[label="vvv198",fontsize=16,color="green",shape="box"];9666[label="vvv2550",fontsize=16,color="green",shape="box"];9667[label="vvv238",fontsize=16,color="green",shape="box"];9668[label="Succ vvv720",fontsize=16,color="green",shape="box"];9662[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat vvv445 vvv446 == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat vvv445 vvv446 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30134[label="vvv445/Succ vvv4450",fontsize=10,color="white",style="solid",shape="box"];9662 -> 30134[label="",style="solid", color="burlywood", weight=9];
30134 -> 9723[label="",style="solid", color="burlywood", weight=3];
30135[label="vvv445/Zero",fontsize=10,color="white",style="solid",shape="box"];9662 -> 30135[label="",style="solid", color="burlywood", weight=9];
30135 -> 9724[label="",style="solid", color="burlywood", weight=3];
3762[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not False)) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos (Succ vvv720)) (not False)))",fontsize=16,color="black",shape="triangle"];3762 -> 3889[label="",style="solid", color="black", weight=3];
3763[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv25500) == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv25500) == LT))))",fontsize=16,color="black",shape="box"];3763 -> 3890[label="",style="solid", color="black", weight=3];
3764[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3764 -> 3891[label="",style="solid", color="black", weight=3];
3765[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (GT == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];3765 -> 3892[label="",style="solid", color="black", weight=3];
3766 -> 3764[label="",style="dashed", color="red", weight=0];
3766[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];8219[label="vvv3900",fontsize=16,color="green",shape="box"];8220[label="vvv3890",fontsize=16,color="green",shape="box"];8221[label="vvv388",fontsize=16,color="green",shape="box"];8222[label="vvv392",fontsize=16,color="green",shape="box"];8223[label="vvv391",fontsize=16,color="green",shape="box"];8224[label="vvv388",fontsize=16,color="green",shape="box"];8225[label="vvv392",fontsize=16,color="green",shape="box"];8226[label="vvv391",fontsize=16,color="green",shape="box"];8227 -> 3059[label="",style="dashed", color="red", weight=0];
8227[label="primQuotInt (Neg vvv388) (error [])",fontsize=16,color="magenta"];8227 -> 8290[label="",style="dashed", color="magenta", weight=3];
3789 -> 10066[label="",style="dashed", color="red", weight=0];
3789[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (primCmpNat (Succ vvv720) vvv2610 == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv720)) (not (primCmpNat (Succ vvv720) vvv2610 == LT))))",fontsize=16,color="magenta"];3789 -> 10067[label="",style="dashed", color="magenta", weight=3];
3789 -> 10068[label="",style="dashed", color="magenta", weight=3];
3789 -> 10069[label="",style="dashed", color="magenta", weight=3];
3789 -> 10070[label="",style="dashed", color="magenta", weight=3];
3789 -> 10071[label="",style="dashed", color="magenta", weight=3];
3790[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not (GT == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv720)) (not (GT == LT))))",fontsize=16,color="black",shape="triangle"];3790 -> 3921[label="",style="solid", color="black", weight=3];
3791[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv26100)) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv26100)) == LT))))",fontsize=16,color="black",shape="box"];3791 -> 3922[label="",style="solid", color="black", weight=3];
3792[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))))",fontsize=16,color="black",shape="box"];3792 -> 3923[label="",style="solid", color="black", weight=3];
3793[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv26100)) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv26100)) == LT))))",fontsize=16,color="black",shape="box"];3793 -> 3924[label="",style="solid", color="black", weight=3];
3794[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))))",fontsize=16,color="black",shape="box"];3794 -> 3925[label="",style="solid", color="black", weight=3];
9776[label="Succ vvv720",fontsize=16,color="green",shape="box"];9777[label="vvv239",fontsize=16,color="green",shape="box"];9778[label="vvv226",fontsize=16,color="green",shape="box"];9779[label="vvv71",fontsize=16,color="green",shape="box"];9780[label="vvv2570",fontsize=16,color="green",shape="box"];9781[label="vvv720",fontsize=16,color="green",shape="box"];9775[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat vvv452 vvv453 == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat vvv452 vvv453 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30139[label="vvv452/Succ vvv4520",fontsize=10,color="white",style="solid",shape="box"];9775 -> 30139[label="",style="solid", color="burlywood", weight=9];
30139 -> 9836[label="",style="solid", color="burlywood", weight=3];
30140[label="vvv452/Zero",fontsize=10,color="white",style="solid",shape="box"];9775 -> 30140[label="",style="solid", color="burlywood", weight=9];
30140 -> 9837[label="",style="solid", color="burlywood", weight=3];
3801[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not False)) vvv239) (abs (Neg vvv226)) (absReal1 (Pos (Succ vvv720)) (not False)))",fontsize=16,color="black",shape="triangle"];3801 -> 3933[label="",style="solid", color="black", weight=3];
3802[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv25700) == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv25700) == LT))))",fontsize=16,color="black",shape="box"];3802 -> 3934[label="",style="solid", color="black", weight=3];
3803[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3803 -> 3935[label="",style="solid", color="black", weight=3];
3804[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (GT == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];3804 -> 3936[label="",style="solid", color="black", weight=3];
3805 -> 3803[label="",style="dashed", color="red", weight=0];
3805[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];9353[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat (Succ vvv4170) vvv418 == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat (Succ vvv4170) vvv418 == LT))))",fontsize=16,color="burlywood",shape="box"];30142[label="vvv418/Succ vvv4180",fontsize=10,color="white",style="solid",shape="box"];9353 -> 30142[label="",style="solid", color="burlywood", weight=9];
30142 -> 9449[label="",style="solid", color="burlywood", weight=3];
30143[label="vvv418/Zero",fontsize=10,color="white",style="solid",shape="box"];9353 -> 30143[label="",style="solid", color="burlywood", weight=9];
30143 -> 9450[label="",style="solid", color="burlywood", weight=3];
9354[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat Zero vvv418 == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat Zero vvv418 == LT))))",fontsize=16,color="burlywood",shape="box"];30144[label="vvv418/Succ vvv4180",fontsize=10,color="white",style="solid",shape="box"];9354 -> 30144[label="",style="solid", color="burlywood", weight=9];
30144 -> 9451[label="",style="solid", color="burlywood", weight=3];
30145[label="vvv418/Zero",fontsize=10,color="white",style="solid",shape="box"];9354 -> 30145[label="",style="solid", color="burlywood", weight=9];
30145 -> 9452[label="",style="solid", color="burlywood", weight=3];
3812[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv1160)) True) vvv234) (abs (Pos vvv220)) (absReal1 (Pos (Succ vvv1160)) True))",fontsize=16,color="black",shape="box"];3812 -> 3944[label="",style="solid", color="black", weight=3];
3813[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (LT == LT))) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];3813 -> 3945[label="",style="solid", color="black", weight=3];
3814[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="black",shape="triangle"];3814 -> 3946[label="",style="solid", color="black", weight=3];
3815 -> 3814[label="",style="dashed", color="red", weight=0];
3815[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="magenta"];3821[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv470)) False) vvv235) (abs (Neg vvv222)) (absReal1 (Neg (Succ vvv470)) False))",fontsize=16,color="black",shape="box"];3821 -> 3951[label="",style="solid", color="black", weight=3];
9447[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat (Succ vvv4240) vvv425 == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat (Succ vvv4240) vvv425 == LT))))",fontsize=16,color="burlywood",shape="box"];30147[label="vvv425/Succ vvv4250",fontsize=10,color="white",style="solid",shape="box"];9447 -> 30147[label="",style="solid", color="burlywood", weight=9];
30147 -> 9529[label="",style="solid", color="burlywood", weight=3];
30148[label="vvv425/Zero",fontsize=10,color="white",style="solid",shape="box"];9447 -> 30148[label="",style="solid", color="burlywood", weight=9];
30148 -> 9530[label="",style="solid", color="burlywood", weight=3];
9448[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat Zero vvv425 == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat Zero vvv425 == LT))))",fontsize=16,color="burlywood",shape="box"];30149[label="vvv425/Succ vvv4250",fontsize=10,color="white",style="solid",shape="box"];9448 -> 30149[label="",style="solid", color="burlywood", weight=9];
30149 -> 9531[label="",style="solid", color="burlywood", weight=3];
30150[label="vvv425/Zero",fontsize=10,color="white",style="solid",shape="box"];9448 -> 30150[label="",style="solid", color="burlywood", weight=9];
30150 -> 9532[label="",style="solid", color="burlywood", weight=3];
3824[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not True)) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not True)))",fontsize=16,color="black",shape="box"];3824 -> 3954[label="",style="solid", color="black", weight=3];
3825[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="black",shape="triangle"];3825 -> 3955[label="",style="solid", color="black", weight=3];
3826[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (GT == LT))) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];3826 -> 3956[label="",style="solid", color="black", weight=3];
7961[label="vvv376",fontsize=16,color="green",shape="box"];3858[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) False) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg (Succ vvv520)) False))",fontsize=16,color="black",shape="box"];3858 -> 3990[label="",style="solid", color="black", weight=3];
9527[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat (Succ vvv4310) vvv432 == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat (Succ vvv4310) vvv432 == LT))))",fontsize=16,color="burlywood",shape="box"];30151[label="vvv432/Succ vvv4320",fontsize=10,color="white",style="solid",shape="box"];9527 -> 30151[label="",style="solid", color="burlywood", weight=9];
30151 -> 9630[label="",style="solid", color="burlywood", weight=3];
30152[label="vvv432/Zero",fontsize=10,color="white",style="solid",shape="box"];9527 -> 30152[label="",style="solid", color="burlywood", weight=9];
30152 -> 9631[label="",style="solid", color="burlywood", weight=3];
9528[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat Zero vvv432 == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat Zero vvv432 == LT))))",fontsize=16,color="burlywood",shape="box"];30153[label="vvv432/Succ vvv4320",fontsize=10,color="white",style="solid",shape="box"];9528 -> 30153[label="",style="solid", color="burlywood", weight=9];
30153 -> 9632[label="",style="solid", color="burlywood", weight=3];
30154[label="vvv432/Zero",fontsize=10,color="white",style="solid",shape="box"];9528 -> 30154[label="",style="solid", color="burlywood", weight=9];
30154 -> 9633[label="",style="solid", color="burlywood", weight=3];
3861[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not True)) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not True)))",fontsize=16,color="black",shape="box"];3861 -> 3993[label="",style="solid", color="black", weight=3];
3862[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="black",shape="triangle"];3862 -> 3994[label="",style="solid", color="black", weight=3];
3863[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (GT == LT))) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];3863 -> 3995[label="",style="solid", color="black", weight=3];
3864[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) (not True)) vvv241) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv520)) (not True)))",fontsize=16,color="black",shape="box"];3864 -> 3996[label="",style="solid", color="black", weight=3];
9940[label="vvv520",fontsize=16,color="green",shape="box"];9941[label="Succ vvv520",fontsize=16,color="green",shape="box"];9942[label="vvv2590",fontsize=16,color="green",shape="box"];9943[label="vvv194",fontsize=16,color="green",shape="box"];9944[label="vvv241",fontsize=16,color="green",shape="box"];9939[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat vvv459 vvv460 == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat vvv459 vvv460 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30155[label="vvv459/Succ vvv4590",fontsize=10,color="white",style="solid",shape="box"];9939 -> 30155[label="",style="solid", color="burlywood", weight=9];
30155 -> 9990[label="",style="solid", color="burlywood", weight=3];
30156[label="vvv459/Zero",fontsize=10,color="white",style="solid",shape="box"];9939 -> 30156[label="",style="solid", color="burlywood", weight=9];
30156 -> 9991[label="",style="solid", color="burlywood", weight=3];
3867[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (LT == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];3867 -> 3999[label="",style="solid", color="black", weight=3];
3868[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3868 -> 4000[label="",style="solid", color="black", weight=3];
3869[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv25900) Zero == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv25900) Zero == LT))))",fontsize=16,color="black",shape="box"];3869 -> 4001[label="",style="solid", color="black", weight=3];
3870 -> 3868[label="",style="dashed", color="red", weight=0];
3870[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (EQ == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];3876[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) False) vvv237) (abs (Pos vvv224)) (absReal1 (Neg (Succ vvv520)) False))",fontsize=16,color="black",shape="box"];3876 -> 4007[label="",style="solid", color="black", weight=3];
9628[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat (Succ vvv4380) vvv439 == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat (Succ vvv4380) vvv439 == LT))))",fontsize=16,color="burlywood",shape="box"];30158[label="vvv439/Succ vvv4390",fontsize=10,color="white",style="solid",shape="box"];9628 -> 30158[label="",style="solid", color="burlywood", weight=9];
30158 -> 9725[label="",style="solid", color="burlywood", weight=3];
30159[label="vvv439/Zero",fontsize=10,color="white",style="solid",shape="box"];9628 -> 30159[label="",style="solid", color="burlywood", weight=9];
30159 -> 9726[label="",style="solid", color="burlywood", weight=3];
9629[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat Zero vvv439 == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat Zero vvv439 == LT))))",fontsize=16,color="burlywood",shape="box"];30160[label="vvv439/Succ vvv4390",fontsize=10,color="white",style="solid",shape="box"];9629 -> 30160[label="",style="solid", color="burlywood", weight=9];
30160 -> 9727[label="",style="solid", color="burlywood", weight=3];
30161[label="vvv439/Zero",fontsize=10,color="white",style="solid",shape="box"];9629 -> 30161[label="",style="solid", color="burlywood", weight=9];
30161 -> 9728[label="",style="solid", color="burlywood", weight=3];
3879[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not True)) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not True)))",fontsize=16,color="black",shape="box"];3879 -> 4010[label="",style="solid", color="black", weight=3];
3880[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="black",shape="triangle"];3880 -> 4011[label="",style="solid", color="black", weight=3];
3881[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (GT == LT))) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];3881 -> 4012[label="",style="solid", color="black", weight=3];
9723[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat (Succ vvv4450) vvv446 == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat (Succ vvv4450) vvv446 == LT))))",fontsize=16,color="burlywood",shape="box"];30162[label="vvv446/Succ vvv4460",fontsize=10,color="white",style="solid",shape="box"];9723 -> 30162[label="",style="solid", color="burlywood", weight=9];
30162 -> 9838[label="",style="solid", color="burlywood", weight=3];
30163[label="vvv446/Zero",fontsize=10,color="white",style="solid",shape="box"];9723 -> 30163[label="",style="solid", color="burlywood", weight=9];
30163 -> 9839[label="",style="solid", color="burlywood", weight=3];
9724[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat Zero vvv446 == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat Zero vvv446 == LT))))",fontsize=16,color="burlywood",shape="box"];30164[label="vvv446/Succ vvv4460",fontsize=10,color="white",style="solid",shape="box"];9724 -> 30164[label="",style="solid", color="burlywood", weight=9];
30164 -> 9840[label="",style="solid", color="burlywood", weight=3];
30165[label="vvv446/Zero",fontsize=10,color="white",style="solid",shape="box"];9724 -> 30165[label="",style="solid", color="burlywood", weight=9];
30165 -> 9841[label="",style="solid", color="burlywood", weight=3];
3889[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) True) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos (Succ vvv720)) True))",fontsize=16,color="black",shape="box"];3889 -> 4020[label="",style="solid", color="black", weight=3];
3890[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (LT == LT))) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];3890 -> 4021[label="",style="solid", color="black", weight=3];
3891[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="black",shape="triangle"];3891 -> 4022[label="",style="solid", color="black", weight=3];
3892 -> 3891[label="",style="dashed", color="red", weight=0];
3892[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="magenta"];8290[label="vvv388",fontsize=16,color="green",shape="box"];10067[label="vvv243",fontsize=16,color="green",shape="box"];10068[label="Succ vvv720",fontsize=16,color="green",shape="box"];10069[label="vvv720",fontsize=16,color="green",shape="box"];10070[label="vvv198",fontsize=16,color="green",shape="box"];10071[label="vvv2610",fontsize=16,color="green",shape="box"];10066[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat vvv465 vvv466 == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat vvv465 vvv466 == LT))))",fontsize=16,color="burlywood",shape="triangle"];30167[label="vvv465/Succ vvv4650",fontsize=10,color="white",style="solid",shape="box"];10066 -> 30167[label="",style="solid", color="burlywood", weight=9];
30167 -> 10117[label="",style="solid", color="burlywood", weight=3];
30168[label="vvv465/Zero",fontsize=10,color="white",style="solid",shape="box"];10066 -> 30168[label="",style="solid", color="burlywood", weight=9];
30168 -> 10118[label="",style="solid", color="burlywood", weight=3];
3921[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) (not False)) vvv243) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv720)) (not False)))",fontsize=16,color="black",shape="triangle"];3921 -> 4054[label="",style="solid", color="black", weight=3];
3922[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv26100) == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv26100) == LT))))",fontsize=16,color="black",shape="box"];3922 -> 4055[label="",style="solid", color="black", weight=3];
3923[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="black",shape="triangle"];3923 -> 4056[label="",style="solid", color="black", weight=3];
3924[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (GT == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];3924 -> 4057[label="",style="solid", color="black", weight=3];
3925 -> 3923[label="",style="dashed", color="red", weight=0];
3925[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (EQ == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (EQ == LT))))",fontsize=16,color="magenta"];9836[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat (Succ vvv4520) vvv453 == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat (Succ vvv4520) vvv453 == LT))))",fontsize=16,color="burlywood",shape="box"];30170[label="vvv453/Succ vvv4530",fontsize=10,color="white",style="solid",shape="box"];9836 -> 30170[label="",style="solid", color="burlywood", weight=9];
30170 -> 9992[label="",style="solid", color="burlywood", weight=3];
30171[label="vvv453/Zero",fontsize=10,color="white",style="solid",shape="box"];9836 -> 30171[label="",style="solid", color="burlywood", weight=9];
30171 -> 9993[label="",style="solid", color="burlywood", weight=3];
9837[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat Zero vvv453 == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat Zero vvv453 == LT))))",fontsize=16,color="burlywood",shape="box"];30172[label="vvv453/Succ vvv4530",fontsize=10,color="white",style="solid",shape="box"];9837 -> 30172[label="",style="solid", color="burlywood", weight=9];
30172 -> 9994[label="",style="solid", color="burlywood", weight=3];
30173[label="vvv453/Zero",fontsize=10,color="white",style="solid",shape="box"];9837 -> 30173[label="",style="solid", color="burlywood", weight=9];
30173 -> 9995[label="",style="solid", color="burlywood", weight=3];
3933[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) True) vvv239) (abs (Neg vvv226)) (absReal1 (Pos (Succ vvv720)) True))",fontsize=16,color="black",shape="box"];3933 -> 4065[label="",style="solid", color="black", weight=3];
3934[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (LT == LT))) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];3934 -> 4066[label="",style="solid", color="black", weight=3];
3935[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="black",shape="triangle"];3935 -> 4067[label="",style="solid", color="black", weight=3];
3936 -> 3935[label="",style="dashed", color="red", weight=0];
3936[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="magenta"];9449[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat (Succ vvv4170) (Succ vvv4180) == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat (Succ vvv4170) (Succ vvv4180) == LT))))",fontsize=16,color="black",shape="box"];9449 -> 9533[label="",style="solid", color="black", weight=3];
9450[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat (Succ vvv4170) Zero == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat (Succ vvv4170) Zero == LT))))",fontsize=16,color="black",shape="box"];9450 -> 9534[label="",style="solid", color="black", weight=3];
9451[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat Zero (Succ vvv4180) == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat Zero (Succ vvv4180) == LT))))",fontsize=16,color="black",shape="box"];9451 -> 9535[label="",style="solid", color="black", weight=3];
9452[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat Zero Zero == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];9452 -> 9536[label="",style="solid", color="black", weight=3];
3944[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1160)) vvv234) (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="burlywood",shape="triangle"];30175[label="vvv234/Pos vvv2340",fontsize=10,color="white",style="solid",shape="box"];3944 -> 30175[label="",style="solid", color="burlywood", weight=9];
30175 -> 4077[label="",style="solid", color="burlywood", weight=3];
30176[label="vvv234/Neg vvv2340",fontsize=10,color="white",style="solid",shape="box"];3944 -> 30176[label="",style="solid", color="burlywood", weight=9];
30176 -> 4078[label="",style="solid", color="burlywood", weight=3];
3945[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not True)) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) (not True)))",fontsize=16,color="black",shape="box"];3945 -> 4079[label="",style="solid", color="black", weight=3];
3946[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) True) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) True))",fontsize=16,color="black",shape="box"];3946 -> 4080[label="",style="solid", color="black", weight=3];
3951[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv470)) otherwise) vvv235) (abs (Neg vvv222)) (absReal0 (Neg (Succ vvv470)) otherwise))",fontsize=16,color="black",shape="box"];3951 -> 4085[label="",style="solid", color="black", weight=3];
9529[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat (Succ vvv4240) (Succ vvv4250) == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat (Succ vvv4240) (Succ vvv4250) == LT))))",fontsize=16,color="black",shape="box"];9529 -> 9634[label="",style="solid", color="black", weight=3];
9530[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat (Succ vvv4240) Zero == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat (Succ vvv4240) Zero == LT))))",fontsize=16,color="black",shape="box"];9530 -> 9635[label="",style="solid", color="black", weight=3];
9531[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat Zero (Succ vvv4250) == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat Zero (Succ vvv4250) == LT))))",fontsize=16,color="black",shape="box"];9531 -> 9636[label="",style="solid", color="black", weight=3];
9532[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat Zero Zero == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];9532 -> 9637[label="",style="solid", color="black", weight=3];
3954[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) False) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) False))",fontsize=16,color="black",shape="box"];3954 -> 4090[label="",style="solid", color="black", weight=3];
3955[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) True) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) True))",fontsize=16,color="black",shape="box"];3955 -> 4091[label="",style="solid", color="black", weight=3];
3956 -> 3825[label="",style="dashed", color="red", weight=0];
3956[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv235) (abs (Neg vvv222)) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="magenta"];3990[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv520)) otherwise) vvv236) (abs (Pos (Succ vvv1950))) (absReal0 (Neg (Succ vvv520)) otherwise))",fontsize=16,color="black",shape="box"];3990 -> 4122[label="",style="solid", color="black", weight=3];
9630[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat (Succ vvv4310) (Succ vvv4320) == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat (Succ vvv4310) (Succ vvv4320) == LT))))",fontsize=16,color="black",shape="box"];9630 -> 9729[label="",style="solid", color="black", weight=3];
9631[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat (Succ vvv4310) Zero == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat (Succ vvv4310) Zero == LT))))",fontsize=16,color="black",shape="box"];9631 -> 9730[label="",style="solid", color="black", weight=3];
9632[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat Zero (Succ vvv4320) == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat Zero (Succ vvv4320) == LT))))",fontsize=16,color="black",shape="box"];9632 -> 9731[label="",style="solid", color="black", weight=3];
9633[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat Zero Zero == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];9633 -> 9732[label="",style="solid", color="black", weight=3];
3993[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) False) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) False))",fontsize=16,color="black",shape="box"];3993 -> 4127[label="",style="solid", color="black", weight=3];
3994[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) True) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) True))",fontsize=16,color="black",shape="box"];3994 -> 4128[label="",style="solid", color="black", weight=3];
3995 -> 3862[label="",style="dashed", color="red", weight=0];
3995[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv236) (abs (Pos (Succ vvv1950))) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="magenta"];3996[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv520)) False) vvv241) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv520)) False))",fontsize=16,color="black",shape="box"];3996 -> 4129[label="",style="solid", color="black", weight=3];
9990[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat (Succ vvv4590) vvv460 == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat (Succ vvv4590) vvv460 == LT))))",fontsize=16,color="burlywood",shape="box"];30179[label="vvv460/Succ vvv4600",fontsize=10,color="white",style="solid",shape="box"];9990 -> 30179[label="",style="solid", color="burlywood", weight=9];
30179 -> 10119[label="",style="solid", color="burlywood", weight=3];
30180[label="vvv460/Zero",fontsize=10,color="white",style="solid",shape="box"];9990 -> 30180[label="",style="solid", color="burlywood", weight=9];
30180 -> 10120[label="",style="solid", color="burlywood", weight=3];
9991[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat Zero vvv460 == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat Zero vvv460 == LT))))",fontsize=16,color="burlywood",shape="box"];30181[label="vvv460/Succ vvv4600",fontsize=10,color="white",style="solid",shape="box"];9991 -> 30181[label="",style="solid", color="burlywood", weight=9];
30181 -> 10121[label="",style="solid", color="burlywood", weight=3];
30182[label="vvv460/Zero",fontsize=10,color="white",style="solid",shape="box"];9991 -> 30182[label="",style="solid", color="burlywood", weight=9];
30182 -> 10122[label="",style="solid", color="burlywood", weight=3];
3999[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not True)) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not True)))",fontsize=16,color="black",shape="box"];3999 -> 4132[label="",style="solid", color="black", weight=3];
4000[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="black",shape="triangle"];4000 -> 4133[label="",style="solid", color="black", weight=3];
4001[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not (GT == LT))) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not (GT == LT))))",fontsize=16,color="black",shape="box"];4001 -> 4134[label="",style="solid", color="black", weight=3];
4007[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv520)) otherwise) vvv237) (abs (Pos vvv224)) (absReal0 (Neg (Succ vvv520)) otherwise))",fontsize=16,color="black",shape="box"];4007 -> 4139[label="",style="solid", color="black", weight=3];
9725[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat (Succ vvv4380) (Succ vvv4390) == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat (Succ vvv4380) (Succ vvv4390) == LT))))",fontsize=16,color="black",shape="box"];9725 -> 9842[label="",style="solid", color="black", weight=3];
9726[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat (Succ vvv4380) Zero == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat (Succ vvv4380) Zero == LT))))",fontsize=16,color="black",shape="box"];9726 -> 9843[label="",style="solid", color="black", weight=3];
9727[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat Zero (Succ vvv4390) == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat Zero (Succ vvv4390) == LT))))",fontsize=16,color="black",shape="box"];9727 -> 9844[label="",style="solid", color="black", weight=3];
9728[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat Zero Zero == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];9728 -> 9845[label="",style="solid", color="black", weight=3];
4010[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) False) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) False))",fontsize=16,color="black",shape="box"];4010 -> 4144[label="",style="solid", color="black", weight=3];
4011[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) True) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) True))",fontsize=16,color="black",shape="box"];4011 -> 4145[label="",style="solid", color="black", weight=3];
4012 -> 3880[label="",style="dashed", color="red", weight=0];
4012[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv237) (abs (Pos vvv224)) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="magenta"];9838[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat (Succ vvv4450) (Succ vvv4460) == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat (Succ vvv4450) (Succ vvv4460) == LT))))",fontsize=16,color="black",shape="box"];9838 -> 9996[label="",style="solid", color="black", weight=3];
9839[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat (Succ vvv4450) Zero == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat (Succ vvv4450) Zero == LT))))",fontsize=16,color="black",shape="box"];9839 -> 9997[label="",style="solid", color="black", weight=3];
9840[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat Zero (Succ vvv4460) == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat Zero (Succ vvv4460) == LT))))",fontsize=16,color="black",shape="box"];9840 -> 9998[label="",style="solid", color="black", weight=3];
9841[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat Zero Zero == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];9841 -> 9999[label="",style="solid", color="black", weight=3];
4020[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) vvv238) (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];30184[label="vvv238/Pos vvv2380",fontsize=10,color="white",style="solid",shape="box"];4020 -> 30184[label="",style="solid", color="burlywood", weight=9];
30184 -> 4154[label="",style="solid", color="burlywood", weight=3];
30185[label="vvv238/Neg vvv2380",fontsize=10,color="white",style="solid",shape="box"];4020 -> 30185[label="",style="solid", color="burlywood", weight=9];
30185 -> 4155[label="",style="solid", color="burlywood", weight=3];
4021[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not True)) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) (not True)))",fontsize=16,color="black",shape="box"];4021 -> 4156[label="",style="solid", color="black", weight=3];
4022[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) True) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) True))",fontsize=16,color="black",shape="box"];4022 -> 4157[label="",style="solid", color="black", weight=3];
10117[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat (Succ vvv4650) vvv466 == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat (Succ vvv4650) vvv466 == LT))))",fontsize=16,color="burlywood",shape="box"];30186[label="vvv466/Succ vvv4660",fontsize=10,color="white",style="solid",shape="box"];10117 -> 30186[label="",style="solid", color="burlywood", weight=9];
30186 -> 10376[label="",style="solid", color="burlywood", weight=3];
30187[label="vvv466/Zero",fontsize=10,color="white",style="solid",shape="box"];10117 -> 30187[label="",style="solid", color="burlywood", weight=9];
30187 -> 10377[label="",style="solid", color="burlywood", weight=3];
10118[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat Zero vvv466 == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat Zero vvv466 == LT))))",fontsize=16,color="burlywood",shape="box"];30188[label="vvv466/Succ vvv4660",fontsize=10,color="white",style="solid",shape="box"];10118 -> 30188[label="",style="solid", color="burlywood", weight=9];
30188 -> 10378[label="",style="solid", color="burlywood", weight=3];
30189[label="vvv466/Zero",fontsize=10,color="white",style="solid",shape="box"];10118 -> 30189[label="",style="solid", color="burlywood", weight=9];
30189 -> 10379[label="",style="solid", color="burlywood", weight=3];
4054[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv720)) True) vvv243) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv720)) True))",fontsize=16,color="black",shape="box"];4054 -> 4186[label="",style="solid", color="black", weight=3];
4055[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not (LT == LT))) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not (LT == LT))))",fontsize=16,color="black",shape="box"];4055 -> 4187[label="",style="solid", color="black", weight=3];
4056[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="black",shape="triangle"];4056 -> 4188[label="",style="solid", color="black", weight=3];
4057 -> 4056[label="",style="dashed", color="red", weight=0];
4057[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not False)) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not False)))",fontsize=16,color="magenta"];9992[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat (Succ vvv4520) (Succ vvv4530) == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat (Succ vvv4520) (Succ vvv4530) == LT))))",fontsize=16,color="black",shape="box"];9992 -> 10123[label="",style="solid", color="black", weight=3];
9993[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat (Succ vvv4520) Zero == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat (Succ vvv4520) Zero == LT))))",fontsize=16,color="black",shape="box"];9993 -> 10124[label="",style="solid", color="black", weight=3];
9994[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat Zero (Succ vvv4530) == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat Zero (Succ vvv4530) == LT))))",fontsize=16,color="black",shape="box"];9994 -> 10125[label="",style="solid", color="black", weight=3];
9995[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat Zero Zero == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];9995 -> 10126[label="",style="solid", color="black", weight=3];
4065[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) vvv239) (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];30191[label="vvv239/Pos vvv2390",fontsize=10,color="white",style="solid",shape="box"];4065 -> 30191[label="",style="solid", color="burlywood", weight=9];
30191 -> 4197[label="",style="solid", color="burlywood", weight=3];
30192[label="vvv239/Neg vvv2390",fontsize=10,color="white",style="solid",shape="box"];4065 -> 30192[label="",style="solid", color="burlywood", weight=9];
30192 -> 4198[label="",style="solid", color="burlywood", weight=3];
4066[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not True)) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) (not True)))",fontsize=16,color="black",shape="box"];4066 -> 4199[label="",style="solid", color="black", weight=3];
4067[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) True) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) True))",fontsize=16,color="black",shape="box"];4067 -> 4200[label="",style="solid", color="black", weight=3];
9533 -> 9292[label="",style="dashed", color="red", weight=0];
9533[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (primCmpNat vvv4170 vvv4180 == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (primCmpNat vvv4170 vvv4180 == LT))))",fontsize=16,color="magenta"];9533 -> 9638[label="",style="dashed", color="magenta", weight=3];
9533 -> 9639[label="",style="dashed", color="magenta", weight=3];
9534 -> 3569[label="",style="dashed", color="red", weight=0];
9534[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (GT == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (GT == LT))))",fontsize=16,color="magenta"];9534 -> 9640[label="",style="dashed", color="magenta", weight=3];
9534 -> 9641[label="",style="dashed", color="magenta", weight=3];
9534 -> 9642[label="",style="dashed", color="magenta", weight=3];
9534 -> 9643[label="",style="dashed", color="magenta", weight=3];
9535[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (LT == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (LT == LT))))",fontsize=16,color="black",shape="box"];9535 -> 9644[label="",style="solid", color="black", weight=3];
9536[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not (EQ == LT))) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];9536 -> 9645[label="",style="solid", color="black", weight=3];
4077[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1160)) (Pos vvv2340)) (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="burlywood",shape="box"];30195[label="vvv2340/Succ vvv23400",fontsize=10,color="white",style="solid",shape="box"];4077 -> 30195[label="",style="solid", color="burlywood", weight=9];
30195 -> 4209[label="",style="solid", color="burlywood", weight=3];
30196[label="vvv2340/Zero",fontsize=10,color="white",style="solid",shape="box"];4077 -> 30196[label="",style="solid", color="burlywood", weight=9];
30196 -> 4210[label="",style="solid", color="burlywood", weight=3];
4078[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1160)) (Neg vvv2340)) (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];4078 -> 4211[label="",style="solid", color="black", weight=3];
4079[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) False) vvv234) (abs (Pos vvv220)) (absReal1 (Pos Zero) False))",fontsize=16,color="black",shape="box"];4079 -> 4212[label="",style="solid", color="black", weight=3];
4080[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv234) (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="burlywood",shape="triangle"];30197[label="vvv234/Pos vvv2340",fontsize=10,color="white",style="solid",shape="box"];4080 -> 30197[label="",style="solid", color="burlywood", weight=9];
30197 -> 4213[label="",style="solid", color="burlywood", weight=3];
30198[label="vvv234/Neg vvv2340",fontsize=10,color="white",style="solid",shape="box"];4080 -> 30198[label="",style="solid", color="burlywood", weight=9];
30198 -> 4214[label="",style="solid", color="burlywood", weight=3];
4085[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv470)) True) vvv235) (abs (Neg vvv222)) (absReal0 (Neg (Succ vvv470)) True))",fontsize=16,color="black",shape="box"];4085 -> 4220[label="",style="solid", color="black", weight=3];
9634 -> 9386[label="",style="dashed", color="red", weight=0];
9634[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (primCmpNat vvv4240 vvv4250 == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (primCmpNat vvv4240 vvv4250 == LT))))",fontsize=16,color="magenta"];9634 -> 9733[label="",style="dashed", color="magenta", weight=3];
9634 -> 9734[label="",style="dashed", color="magenta", weight=3];
9635[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (GT == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (GT == LT))))",fontsize=16,color="black",shape="box"];9635 -> 9735[label="",style="solid", color="black", weight=3];
9636 -> 3578[label="",style="dashed", color="red", weight=0];
9636[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (LT == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (LT == LT))))",fontsize=16,color="magenta"];9636 -> 9736[label="",style="dashed", color="magenta", weight=3];
9636 -> 9737[label="",style="dashed", color="magenta", weight=3];
9636 -> 9738[label="",style="dashed", color="magenta", weight=3];
9636 -> 9739[label="",style="dashed", color="magenta", weight=3];
9637[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not (EQ == LT))) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];9637 -> 9740[label="",style="solid", color="black", weight=3];
4090[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) otherwise) vvv235) (abs (Neg vvv222)) (absReal0 (Neg Zero) otherwise))",fontsize=16,color="black",shape="box"];4090 -> 4225[label="",style="solid", color="black", weight=3];
4091[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv235) (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="burlywood",shape="triangle"];30201[label="vvv235/Pos vvv2350",fontsize=10,color="white",style="solid",shape="box"];4091 -> 30201[label="",style="solid", color="burlywood", weight=9];
30201 -> 4226[label="",style="solid", color="burlywood", weight=3];
30202[label="vvv235/Neg vvv2350",fontsize=10,color="white",style="solid",shape="box"];4091 -> 30202[label="",style="solid", color="burlywood", weight=9];
30202 -> 4227[label="",style="solid", color="burlywood", weight=3];
4122[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv520)) True) vvv236) (abs (Pos (Succ vvv1950))) (absReal0 (Neg (Succ vvv520)) True))",fontsize=16,color="black",shape="box"];4122 -> 4264[label="",style="solid", color="black", weight=3];
9729 -> 9466[label="",style="dashed", color="red", weight=0];
9729[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (primCmpNat vvv4310 vvv4320 == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (primCmpNat vvv4310 vvv4320 == LT))))",fontsize=16,color="magenta"];9729 -> 9846[label="",style="dashed", color="magenta", weight=3];
9729 -> 9847[label="",style="dashed", color="magenta", weight=3];
9730[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (GT == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (GT == LT))))",fontsize=16,color="black",shape="box"];9730 -> 9848[label="",style="solid", color="black", weight=3];
9731 -> 3612[label="",style="dashed", color="red", weight=0];
9731[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (LT == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (LT == LT))))",fontsize=16,color="magenta"];9731 -> 9849[label="",style="dashed", color="magenta", weight=3];
9731 -> 9850[label="",style="dashed", color="magenta", weight=3];
9731 -> 9851[label="",style="dashed", color="magenta", weight=3];
9731 -> 9852[label="",style="dashed", color="magenta", weight=3];
9732[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not (EQ == LT))) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];9732 -> 9853[label="",style="solid", color="black", weight=3];
4127[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) otherwise) vvv236) (abs (Pos (Succ vvv1950))) (absReal0 (Neg Zero) otherwise))",fontsize=16,color="black",shape="box"];4127 -> 4269[label="",style="solid", color="black", weight=3];
4128[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv236) (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30205[label="vvv236/Pos vvv2360",fontsize=10,color="white",style="solid",shape="box"];4128 -> 30205[label="",style="solid", color="burlywood", weight=9];
30205 -> 4270[label="",style="solid", color="burlywood", weight=3];
30206[label="vvv236/Neg vvv2360",fontsize=10,color="white",style="solid",shape="box"];4128 -> 30206[label="",style="solid", color="burlywood", weight=9];
30206 -> 4271[label="",style="solid", color="burlywood", weight=3];
4129[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv520)) otherwise) vvv241) (abs (Pos Zero)) (absReal0 (Neg (Succ vvv520)) otherwise))",fontsize=16,color="black",shape="box"];4129 -> 4272[label="",style="solid", color="black", weight=3];
10119[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat (Succ vvv4590) (Succ vvv4600) == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat (Succ vvv4590) (Succ vvv4600) == LT))))",fontsize=16,color="black",shape="box"];10119 -> 10380[label="",style="solid", color="black", weight=3];
10120[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat (Succ vvv4590) Zero == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat (Succ vvv4590) Zero == LT))))",fontsize=16,color="black",shape="box"];10120 -> 10381[label="",style="solid", color="black", weight=3];
10121[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat Zero (Succ vvv4600) == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat Zero (Succ vvv4600) == LT))))",fontsize=16,color="black",shape="box"];10121 -> 10382[label="",style="solid", color="black", weight=3];
10122[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat Zero Zero == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];10122 -> 10383[label="",style="solid", color="black", weight=3];
4132[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) False) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) False))",fontsize=16,color="black",shape="box"];4132 -> 4277[label="",style="solid", color="black", weight=3];
4133[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) True) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) True))",fontsize=16,color="black",shape="box"];4133 -> 4278[label="",style="solid", color="black", weight=3];
4134 -> 4000[label="",style="dashed", color="red", weight=0];
4134[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal1 (Neg Zero) (not False)) vvv241) (abs (Pos Zero)) (absReal1 (Neg Zero) (not False)))",fontsize=16,color="magenta"];4139[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv520)) True) vvv237) (abs (Pos vvv224)) (absReal0 (Neg (Succ vvv520)) True))",fontsize=16,color="black",shape="box"];4139 -> 4284[label="",style="solid", color="black", weight=3];
9842 -> 9567[label="",style="dashed", color="red", weight=0];
9842[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (primCmpNat vvv4380 vvv4390 == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (primCmpNat vvv4380 vvv4390 == LT))))",fontsize=16,color="magenta"];9842 -> 10000[label="",style="dashed", color="magenta", weight=3];
9842 -> 10001[label="",style="dashed", color="magenta", weight=3];
9843[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (GT == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (GT == LT))))",fontsize=16,color="black",shape="box"];9843 -> 10002[label="",style="solid", color="black", weight=3];
9844 -> 3627[label="",style="dashed", color="red", weight=0];
9844[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (LT == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (LT == LT))))",fontsize=16,color="magenta"];9844 -> 10003[label="",style="dashed", color="magenta", weight=3];
9844 -> 10004[label="",style="dashed", color="magenta", weight=3];
9844 -> 10005[label="",style="dashed", color="magenta", weight=3];
9844 -> 10006[label="",style="dashed", color="magenta", weight=3];
9845[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not (EQ == LT))) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];9845 -> 10007[label="",style="solid", color="black", weight=3];
4144[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) otherwise) vvv237) (abs (Pos vvv224)) (absReal0 (Neg Zero) otherwise))",fontsize=16,color="black",shape="box"];4144 -> 4289[label="",style="solid", color="black", weight=3];
4145[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv237) (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30210[label="vvv237/Pos vvv2370",fontsize=10,color="white",style="solid",shape="box"];4145 -> 30210[label="",style="solid", color="burlywood", weight=9];
30210 -> 4290[label="",style="solid", color="burlywood", weight=3];
30211[label="vvv237/Neg vvv2370",fontsize=10,color="white",style="solid",shape="box"];4145 -> 30211[label="",style="solid", color="burlywood", weight=9];
30211 -> 4291[label="",style="solid", color="burlywood", weight=3];
9996 -> 9662[label="",style="dashed", color="red", weight=0];
9996[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (primCmpNat vvv4450 vvv4460 == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (primCmpNat vvv4450 vvv4460 == LT))))",fontsize=16,color="magenta"];9996 -> 10127[label="",style="dashed", color="magenta", weight=3];
9996 -> 10128[label="",style="dashed", color="magenta", weight=3];
9997 -> 3639[label="",style="dashed", color="red", weight=0];
9997[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (GT == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (GT == LT))))",fontsize=16,color="magenta"];9997 -> 10129[label="",style="dashed", color="magenta", weight=3];
9997 -> 10130[label="",style="dashed", color="magenta", weight=3];
9997 -> 10131[label="",style="dashed", color="magenta", weight=3];
9997 -> 10132[label="",style="dashed", color="magenta", weight=3];
9998[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (LT == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (LT == LT))))",fontsize=16,color="black",shape="box"];9998 -> 10133[label="",style="solid", color="black", weight=3];
9999[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not (EQ == LT))) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];9999 -> 10134[label="",style="solid", color="black", weight=3];
4154[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos vvv2380)) (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];30214[label="vvv2380/Succ vvv23800",fontsize=10,color="white",style="solid",shape="box"];4154 -> 30214[label="",style="solid", color="burlywood", weight=9];
30214 -> 4301[label="",style="solid", color="burlywood", weight=3];
30215[label="vvv2380/Zero",fontsize=10,color="white",style="solid",shape="box"];4154 -> 30215[label="",style="solid", color="burlywood", weight=9];
30215 -> 4302[label="",style="solid", color="burlywood", weight=3];
4155[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Neg vvv2380)) (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4155 -> 4303[label="",style="solid", color="black", weight=3];
4156[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) False) vvv238) (abs (Neg (Succ vvv1990))) (absReal1 (Pos Zero) False))",fontsize=16,color="black",shape="box"];4156 -> 4304[label="",style="solid", color="black", weight=3];
4157[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv238) (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30216[label="vvv238/Pos vvv2380",fontsize=10,color="white",style="solid",shape="box"];4157 -> 30216[label="",style="solid", color="burlywood", weight=9];
30216 -> 4305[label="",style="solid", color="burlywood", weight=3];
30217[label="vvv238/Neg vvv2380",fontsize=10,color="white",style="solid",shape="box"];4157 -> 30217[label="",style="solid", color="burlywood", weight=9];
30217 -> 4306[label="",style="solid", color="burlywood", weight=3];
10376[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat (Succ vvv4650) (Succ vvv4660) == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat (Succ vvv4650) (Succ vvv4660) == LT))))",fontsize=16,color="black",shape="box"];10376 -> 10543[label="",style="solid", color="black", weight=3];
10377[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat (Succ vvv4650) Zero == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat (Succ vvv4650) Zero == LT))))",fontsize=16,color="black",shape="box"];10377 -> 10544[label="",style="solid", color="black", weight=3];
10378[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat Zero (Succ vvv4660) == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat Zero (Succ vvv4660) == LT))))",fontsize=16,color="black",shape="box"];10378 -> 10545[label="",style="solid", color="black", weight=3];
10379[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat Zero Zero == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat Zero Zero == LT))))",fontsize=16,color="black",shape="box"];10379 -> 10546[label="",style="solid", color="black", weight=3];
4186[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) vvv243) (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];30218[label="vvv243/Pos vvv2430",fontsize=10,color="white",style="solid",shape="box"];4186 -> 30218[label="",style="solid", color="burlywood", weight=9];
30218 -> 4342[label="",style="solid", color="burlywood", weight=3];
30219[label="vvv243/Neg vvv2430",fontsize=10,color="white",style="solid",shape="box"];4186 -> 30219[label="",style="solid", color="burlywood", weight=9];
30219 -> 4343[label="",style="solid", color="burlywood", weight=3];
4187[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) (not True)) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) (not True)))",fontsize=16,color="black",shape="box"];4187 -> 4344[label="",style="solid", color="black", weight=3];
4188[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) True) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) True))",fontsize=16,color="black",shape="box"];4188 -> 4345[label="",style="solid", color="black", weight=3];
10123 -> 9775[label="",style="dashed", color="red", weight=0];
10123[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (primCmpNat vvv4520 vvv4530 == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (primCmpNat vvv4520 vvv4530 == LT))))",fontsize=16,color="magenta"];10123 -> 10384[label="",style="dashed", color="magenta", weight=3];
10123 -> 10385[label="",style="dashed", color="magenta", weight=3];
10124 -> 3678[label="",style="dashed", color="red", weight=0];
10124[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (GT == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (GT == LT))))",fontsize=16,color="magenta"];10124 -> 10386[label="",style="dashed", color="magenta", weight=3];
10124 -> 10387[label="",style="dashed", color="magenta", weight=3];
10124 -> 10388[label="",style="dashed", color="magenta", weight=3];
10124 -> 10389[label="",style="dashed", color="magenta", weight=3];
10125[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (LT == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (LT == LT))))",fontsize=16,color="black",shape="box"];10125 -> 10390[label="",style="solid", color="black", weight=3];
10126[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not (EQ == LT))) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];10126 -> 10391[label="",style="solid", color="black", weight=3];
4197[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos vvv2390)) (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];30222[label="vvv2390/Succ vvv23900",fontsize=10,color="white",style="solid",shape="box"];4197 -> 30222[label="",style="solid", color="burlywood", weight=9];
30222 -> 4355[label="",style="solid", color="burlywood", weight=3];
30223[label="vvv2390/Zero",fontsize=10,color="white",style="solid",shape="box"];4197 -> 30223[label="",style="solid", color="burlywood", weight=9];
30223 -> 4356[label="",style="solid", color="burlywood", weight=3];
4198[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Neg vvv2390)) (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4198 -> 4357[label="",style="solid", color="black", weight=3];
4199[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) False) vvv239) (abs (Neg vvv226)) (absReal1 (Pos Zero) False))",fontsize=16,color="black",shape="box"];4199 -> 4358[label="",style="solid", color="black", weight=3];
4200[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv239) (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30224[label="vvv239/Pos vvv2390",fontsize=10,color="white",style="solid",shape="box"];4200 -> 30224[label="",style="solid", color="burlywood", weight=9];
30224 -> 4359[label="",style="solid", color="burlywood", weight=3];
30225[label="vvv239/Neg vvv2390",fontsize=10,color="white",style="solid",shape="box"];4200 -> 30225[label="",style="solid", color="burlywood", weight=9];
30225 -> 4360[label="",style="solid", color="burlywood", weight=3];
9638[label="vvv4170",fontsize=16,color="green",shape="box"];9639[label="vvv4180",fontsize=16,color="green",shape="box"];9640[label="vvv420",fontsize=16,color="green",shape="box"];9641[label="vvv415",fontsize=16,color="green",shape="box"];9642[label="vvv416",fontsize=16,color="green",shape="box"];9643[label="vvv419",fontsize=16,color="green",shape="box"];9644[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not True)) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not True)))",fontsize=16,color="black",shape="box"];9644 -> 9741[label="",style="solid", color="black", weight=3];
9645 -> 3690[label="",style="dashed", color="red", weight=0];
9645[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) (not False)) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) (not False)))",fontsize=16,color="magenta"];9645 -> 9742[label="",style="dashed", color="magenta", weight=3];
9645 -> 9743[label="",style="dashed", color="magenta", weight=3];
9645 -> 9744[label="",style="dashed", color="magenta", weight=3];
9645 -> 9745[label="",style="dashed", color="magenta", weight=3];
4209[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1160)) (Pos (Succ vvv23400))) (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];4209 -> 4371[label="",style="solid", color="black", weight=3];
4210[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1160)) (Pos Zero)) (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];4210 -> 4372[label="",style="solid", color="black", weight=3];
4211[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="triangle"];4211 -> 4373[label="",style="solid", color="black", weight=3];
4212[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) otherwise) vvv234) (abs (Pos vvv220)) (absReal0 (Pos Zero) otherwise))",fontsize=16,color="black",shape="box"];4212 -> 4374[label="",style="solid", color="black", weight=3];
4213[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2340)) (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30227[label="vvv2340/Succ vvv23400",fontsize=10,color="white",style="solid",shape="box"];4213 -> 30227[label="",style="solid", color="burlywood", weight=9];
30227 -> 4375[label="",style="solid", color="burlywood", weight=3];
30228[label="vvv2340/Zero",fontsize=10,color="white",style="solid",shape="box"];4213 -> 30228[label="",style="solid", color="burlywood", weight=9];
30228 -> 4376[label="",style="solid", color="burlywood", weight=3];
4214[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2340)) (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30229[label="vvv2340/Succ vvv23400",fontsize=10,color="white",style="solid",shape="box"];4214 -> 30229[label="",style="solid", color="burlywood", weight=9];
30229 -> 4377[label="",style="solid", color="burlywood", weight=3];
30230[label="vvv2340/Zero",fontsize=10,color="white",style="solid",shape="box"];4214 -> 30230[label="",style="solid", color="burlywood", weight=9];
30230 -> 4378[label="",style="solid", color="burlywood", weight=3];
4220[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (`negate` Neg (Succ vvv470)) vvv235) (abs (Neg vvv222)) (`negate` Neg (Succ vvv470)))",fontsize=16,color="black",shape="box"];4220 -> 4383[label="",style="solid", color="black", weight=3];
9733[label="vvv4240",fontsize=16,color="green",shape="box"];9734[label="vvv4250",fontsize=16,color="green",shape="box"];9735[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not False)) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not False)))",fontsize=16,color="black",shape="triangle"];9735 -> 9854[label="",style="solid", color="black", weight=3];
9736[label="vvv427",fontsize=16,color="green",shape="box"];9737[label="vvv422",fontsize=16,color="green",shape="box"];9738[label="vvv423",fontsize=16,color="green",shape="box"];9739[label="vvv426",fontsize=16,color="green",shape="box"];9740 -> 9735[label="",style="dashed", color="red", weight=0];
9740[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) (not False)) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) (not False)))",fontsize=16,color="magenta"];4225[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) True) vvv235) (abs (Neg vvv222)) (absReal0 (Neg Zero) True))",fontsize=16,color="black",shape="box"];4225 -> 4389[label="",style="solid", color="black", weight=3];
4226[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2350)) (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30232[label="vvv2350/Succ vvv23500",fontsize=10,color="white",style="solid",shape="box"];4226 -> 30232[label="",style="solid", color="burlywood", weight=9];
30232 -> 4390[label="",style="solid", color="burlywood", weight=3];
30233[label="vvv2350/Zero",fontsize=10,color="white",style="solid",shape="box"];4226 -> 30233[label="",style="solid", color="burlywood", weight=9];
30233 -> 4391[label="",style="solid", color="burlywood", weight=3];
4227[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2350)) (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30234[label="vvv2350/Succ vvv23500",fontsize=10,color="white",style="solid",shape="box"];4227 -> 30234[label="",style="solid", color="burlywood", weight=9];
30234 -> 4392[label="",style="solid", color="burlywood", weight=3];
30235[label="vvv2350/Zero",fontsize=10,color="white",style="solid",shape="box"];4227 -> 30235[label="",style="solid", color="burlywood", weight=9];
30235 -> 4393[label="",style="solid", color="burlywood", weight=3];
4264[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (`negate` Neg (Succ vvv520)) vvv236) (abs (Pos (Succ vvv1950))) (`negate` Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];4264 -> 4432[label="",style="solid", color="black", weight=3];
9846[label="vvv4320",fontsize=16,color="green",shape="box"];9847[label="vvv4310",fontsize=16,color="green",shape="box"];9848[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not False)) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not False)))",fontsize=16,color="black",shape="triangle"];9848 -> 10008[label="",style="solid", color="black", weight=3];
9849[label="vvv429",fontsize=16,color="green",shape="box"];9850[label="vvv433",fontsize=16,color="green",shape="box"];9851[label="vvv434",fontsize=16,color="green",shape="box"];9852[label="vvv430",fontsize=16,color="green",shape="box"];9853 -> 9848[label="",style="dashed", color="red", weight=0];
9853[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) (not False)) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) (not False)))",fontsize=16,color="magenta"];4269[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) True) vvv236) (abs (Pos (Succ vvv1950))) (absReal0 (Neg Zero) True))",fontsize=16,color="black",shape="box"];4269 -> 4438[label="",style="solid", color="black", weight=3];
4270[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2360)) (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30237[label="vvv2360/Succ vvv23600",fontsize=10,color="white",style="solid",shape="box"];4270 -> 30237[label="",style="solid", color="burlywood", weight=9];
30237 -> 4439[label="",style="solid", color="burlywood", weight=3];
30238[label="vvv2360/Zero",fontsize=10,color="white",style="solid",shape="box"];4270 -> 30238[label="",style="solid", color="burlywood", weight=9];
30238 -> 4440[label="",style="solid", color="burlywood", weight=3];
4271[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2360)) (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30239[label="vvv2360/Succ vvv23600",fontsize=10,color="white",style="solid",shape="box"];4271 -> 30239[label="",style="solid", color="burlywood", weight=9];
30239 -> 4441[label="",style="solid", color="burlywood", weight=3];
30240[label="vvv2360/Zero",fontsize=10,color="white",style="solid",shape="box"];4271 -> 30240[label="",style="solid", color="burlywood", weight=9];
30240 -> 4442[label="",style="solid", color="burlywood", weight=3];
4272[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg (Succ vvv520)) True) vvv241) (abs (Pos Zero)) (absReal0 (Neg (Succ vvv520)) True))",fontsize=16,color="black",shape="box"];4272 -> 4443[label="",style="solid", color="black", weight=3];
10380 -> 9939[label="",style="dashed", color="red", weight=0];
10380[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (primCmpNat vvv4590 vvv4600 == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (primCmpNat vvv4590 vvv4600 == LT))))",fontsize=16,color="magenta"];10380 -> 10547[label="",style="dashed", color="magenta", weight=3];
10380 -> 10548[label="",style="dashed", color="magenta", weight=3];
10381[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (GT == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (GT == LT))))",fontsize=16,color="black",shape="box"];10381 -> 10549[label="",style="solid", color="black", weight=3];
10382 -> 3739[label="",style="dashed", color="red", weight=0];
10382[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (LT == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (LT == LT))))",fontsize=16,color="magenta"];10382 -> 10550[label="",style="dashed", color="magenta", weight=3];
10382 -> 10551[label="",style="dashed", color="magenta", weight=3];
10382 -> 10552[label="",style="dashed", color="magenta", weight=3];
10383[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not (EQ == LT))) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];10383 -> 10553[label="",style="solid", color="black", weight=3];
4277[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) otherwise) vvv241) (abs (Pos Zero)) (absReal0 (Neg Zero) otherwise))",fontsize=16,color="black",shape="box"];4277 -> 4448[label="",style="solid", color="black", weight=3];
4278[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv241) (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30243[label="vvv241/Pos vvv2410",fontsize=10,color="white",style="solid",shape="box"];4278 -> 30243[label="",style="solid", color="burlywood", weight=9];
30243 -> 4449[label="",style="solid", color="burlywood", weight=3];
30244[label="vvv241/Neg vvv2410",fontsize=10,color="white",style="solid",shape="box"];4278 -> 30244[label="",style="solid", color="burlywood", weight=9];
30244 -> 4450[label="",style="solid", color="burlywood", weight=3];
4284[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (`negate` Neg (Succ vvv520)) vvv237) (abs (Pos vvv224)) (`negate` Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];4284 -> 4456[label="",style="solid", color="black", weight=3];
10000[label="vvv4380",fontsize=16,color="green",shape="box"];10001[label="vvv4390",fontsize=16,color="green",shape="box"];10002[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not False)) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not False)))",fontsize=16,color="black",shape="triangle"];10002 -> 10135[label="",style="solid", color="black", weight=3];
10003[label="vvv441",fontsize=16,color="green",shape="box"];10004[label="vvv440",fontsize=16,color="green",shape="box"];10005[label="vvv436",fontsize=16,color="green",shape="box"];10006[label="vvv437",fontsize=16,color="green",shape="box"];10007 -> 10002[label="",style="dashed", color="red", weight=0];
10007[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) (not False)) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) (not False)))",fontsize=16,color="magenta"];4289[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) True) vvv237) (abs (Pos vvv224)) (absReal0 (Neg Zero) True))",fontsize=16,color="black",shape="box"];4289 -> 4462[label="",style="solid", color="black", weight=3];
4290[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2370)) (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30246[label="vvv2370/Succ vvv23700",fontsize=10,color="white",style="solid",shape="box"];4290 -> 30246[label="",style="solid", color="burlywood", weight=9];
30246 -> 4463[label="",style="solid", color="burlywood", weight=3];
30247[label="vvv2370/Zero",fontsize=10,color="white",style="solid",shape="box"];4290 -> 30247[label="",style="solid", color="burlywood", weight=9];
30247 -> 4464[label="",style="solid", color="burlywood", weight=3];
4291[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2370)) (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30248[label="vvv2370/Succ vvv23700",fontsize=10,color="white",style="solid",shape="box"];4291 -> 30248[label="",style="solid", color="burlywood", weight=9];
30248 -> 4465[label="",style="solid", color="burlywood", weight=3];
30249[label="vvv2370/Zero",fontsize=10,color="white",style="solid",shape="box"];4291 -> 30249[label="",style="solid", color="burlywood", weight=9];
30249 -> 4466[label="",style="solid", color="burlywood", weight=3];
10127[label="vvv4460",fontsize=16,color="green",shape="box"];10128[label="vvv4450",fontsize=16,color="green",shape="box"];10129[label="vvv447",fontsize=16,color="green",shape="box"];10130[label="vvv444",fontsize=16,color="green",shape="box"];10131[label="vvv443",fontsize=16,color="green",shape="box"];10132[label="vvv448",fontsize=16,color="green",shape="box"];10133[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not True)) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not True)))",fontsize=16,color="black",shape="box"];10133 -> 10392[label="",style="solid", color="black", weight=3];
10134 -> 3762[label="",style="dashed", color="red", weight=0];
10134[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) (not False)) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) (not False)))",fontsize=16,color="magenta"];10134 -> 10393[label="",style="dashed", color="magenta", weight=3];
10134 -> 10394[label="",style="dashed", color="magenta", weight=3];
10134 -> 10395[label="",style="dashed", color="magenta", weight=3];
10134 -> 10396[label="",style="dashed", color="magenta", weight=3];
4301[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos (Succ vvv23800))) (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4301 -> 4477[label="",style="solid", color="black", weight=3];
4302[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos Zero)) (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4302 -> 4478[label="",style="solid", color="black", weight=3];
4303[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="triangle"];4303 -> 4479[label="",style="solid", color="black", weight=3];
4304[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) otherwise) vvv238) (abs (Neg (Succ vvv1990))) (absReal0 (Pos Zero) otherwise))",fontsize=16,color="black",shape="box"];4304 -> 4480[label="",style="solid", color="black", weight=3];
4305[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2380)) (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30251[label="vvv2380/Succ vvv23800",fontsize=10,color="white",style="solid",shape="box"];4305 -> 30251[label="",style="solid", color="burlywood", weight=9];
30251 -> 4481[label="",style="solid", color="burlywood", weight=3];
30252[label="vvv2380/Zero",fontsize=10,color="white",style="solid",shape="box"];4305 -> 30252[label="",style="solid", color="burlywood", weight=9];
30252 -> 4482[label="",style="solid", color="burlywood", weight=3];
4306[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2380)) (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30253[label="vvv2380/Succ vvv23800",fontsize=10,color="white",style="solid",shape="box"];4306 -> 30253[label="",style="solid", color="burlywood", weight=9];
30253 -> 4483[label="",style="solid", color="burlywood", weight=3];
30254[label="vvv2380/Zero",fontsize=10,color="white",style="solid",shape="box"];4306 -> 30254[label="",style="solid", color="burlywood", weight=9];
30254 -> 4484[label="",style="solid", color="burlywood", weight=3];
10543 -> 10066[label="",style="dashed", color="red", weight=0];
10543[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (primCmpNat vvv4650 vvv4660 == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (primCmpNat vvv4650 vvv4660 == LT))))",fontsize=16,color="magenta"];10543 -> 10809[label="",style="dashed", color="magenta", weight=3];
10543 -> 10810[label="",style="dashed", color="magenta", weight=3];
10544 -> 3790[label="",style="dashed", color="red", weight=0];
10544[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (GT == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (GT == LT))))",fontsize=16,color="magenta"];10544 -> 10811[label="",style="dashed", color="magenta", weight=3];
10544 -> 10812[label="",style="dashed", color="magenta", weight=3];
10544 -> 10813[label="",style="dashed", color="magenta", weight=3];
10545[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (LT == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (LT == LT))))",fontsize=16,color="black",shape="box"];10545 -> 10814[label="",style="solid", color="black", weight=3];
10546[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not (EQ == LT))) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not (EQ == LT))))",fontsize=16,color="black",shape="box"];10546 -> 10815[label="",style="solid", color="black", weight=3];
4342[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos vvv2430)) (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="burlywood",shape="box"];30257[label="vvv2430/Succ vvv24300",fontsize=10,color="white",style="solid",shape="box"];4342 -> 30257[label="",style="solid", color="burlywood", weight=9];
30257 -> 4523[label="",style="solid", color="burlywood", weight=3];
30258[label="vvv2430/Zero",fontsize=10,color="white",style="solid",shape="box"];4342 -> 30258[label="",style="solid", color="burlywood", weight=9];
30258 -> 4524[label="",style="solid", color="burlywood", weight=3];
4343[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Neg vvv2430)) (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4343 -> 4525[label="",style="solid", color="black", weight=3];
4344[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal1 (Pos Zero) False) vvv243) (abs (Neg Zero)) (absReal1 (Pos Zero) False))",fontsize=16,color="black",shape="box"];4344 -> 4526[label="",style="solid", color="black", weight=3];
4345[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv243) (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30259[label="vvv243/Pos vvv2430",fontsize=10,color="white",style="solid",shape="box"];4345 -> 30259[label="",style="solid", color="burlywood", weight=9];
30259 -> 4527[label="",style="solid", color="burlywood", weight=3];
30260[label="vvv243/Neg vvv2430",fontsize=10,color="white",style="solid",shape="box"];4345 -> 30260[label="",style="solid", color="burlywood", weight=9];
30260 -> 4528[label="",style="solid", color="burlywood", weight=3];
10384[label="vvv4520",fontsize=16,color="green",shape="box"];10385[label="vvv4530",fontsize=16,color="green",shape="box"];10386[label="vvv455",fontsize=16,color="green",shape="box"];10387[label="vvv454",fontsize=16,color="green",shape="box"];10388[label="vvv451",fontsize=16,color="green",shape="box"];10389[label="vvv450",fontsize=16,color="green",shape="box"];10390[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not True)) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not True)))",fontsize=16,color="black",shape="box"];10390 -> 10554[label="",style="solid", color="black", weight=3];
10391 -> 3801[label="",style="dashed", color="red", weight=0];
10391[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) (not False)) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) (not False)))",fontsize=16,color="magenta"];10391 -> 10555[label="",style="dashed", color="magenta", weight=3];
10391 -> 10556[label="",style="dashed", color="magenta", weight=3];
10391 -> 10557[label="",style="dashed", color="magenta", weight=3];
10391 -> 10558[label="",style="dashed", color="magenta", weight=3];
4355[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos (Succ vvv23900))) (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4355 -> 4539[label="",style="solid", color="black", weight=3];
4356[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos Zero)) (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4356 -> 4540[label="",style="solid", color="black", weight=3];
4357[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 False (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="triangle"];4357 -> 4541[label="",style="solid", color="black", weight=3];
4358[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) otherwise) vvv239) (abs (Neg vvv226)) (absReal0 (Pos Zero) otherwise))",fontsize=16,color="black",shape="box"];4358 -> 4542[label="",style="solid", color="black", weight=3];
4359[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2390)) (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30262[label="vvv2390/Succ vvv23900",fontsize=10,color="white",style="solid",shape="box"];4359 -> 30262[label="",style="solid", color="burlywood", weight=9];
30262 -> 4543[label="",style="solid", color="burlywood", weight=3];
30263[label="vvv2390/Zero",fontsize=10,color="white",style="solid",shape="box"];4359 -> 30263[label="",style="solid", color="burlywood", weight=9];
30263 -> 4544[label="",style="solid", color="burlywood", weight=3];
4360[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2390)) (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30264[label="vvv2390/Succ vvv23900",fontsize=10,color="white",style="solid",shape="box"];4360 -> 30264[label="",style="solid", color="burlywood", weight=9];
30264 -> 4545[label="",style="solid", color="burlywood", weight=3];
30265[label="vvv2390/Zero",fontsize=10,color="white",style="solid",shape="box"];4360 -> 30265[label="",style="solid", color="burlywood", weight=9];
30265 -> 4546[label="",style="solid", color="burlywood", weight=3];
9741[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv416)) False) vvv419) (abs (Pos vvv420)) (absReal1 (Pos (Succ vvv416)) False))",fontsize=16,color="black",shape="box"];9741 -> 9855[label="",style="solid", color="black", weight=3];
9742[label="vvv420",fontsize=16,color="green",shape="box"];9743[label="vvv415",fontsize=16,color="green",shape="box"];9744[label="vvv416",fontsize=16,color="green",shape="box"];9745[label="vvv419",fontsize=16,color="green",shape="box"];4371 -> 11633[label="",style="dashed", color="red", weight=0];
4371[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat vvv1160 vvv23400) (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="magenta"];4371 -> 11634[label="",style="dashed", color="magenta", weight=3];
4371 -> 11635[label="",style="dashed", color="magenta", weight=3];
4371 -> 11636[label="",style="dashed", color="magenta", weight=3];
4371 -> 11637[label="",style="dashed", color="magenta", weight=3];
4371 -> 11638[label="",style="dashed", color="magenta", weight=3];
4372 -> 4211[label="",style="dashed", color="red", weight=0];
4372[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="magenta"];4373[label="primQuotInt (Pos vvv115) (gcd0Gcd'0 (abs (Pos vvv220)) (Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];4373 -> 4560[label="",style="solid", color="black", weight=3];
4374[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) True) vvv234) (abs (Pos vvv220)) (absReal0 (Pos Zero) True))",fontsize=16,color="black",shape="box"];4374 -> 4561[label="",style="solid", color="black", weight=3];
4375[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv23400))) (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="black",shape="box"];4375 -> 4562[label="",style="solid", color="black", weight=3];
4376[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="black",shape="box"];4376 -> 4563[label="",style="solid", color="black", weight=3];
4377[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv23400))) (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="black",shape="box"];4377 -> 4564[label="",style="solid", color="black", weight=3];
4378[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="black",shape="box"];4378 -> 4565[label="",style="solid", color="black", weight=3];
4383[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primNegInt (Neg (Succ vvv470))) vvv235) (abs (Neg vvv222)) (primNegInt (Neg (Succ vvv470))))",fontsize=16,color="black",shape="box"];4383 -> 4570[label="",style="solid", color="black", weight=3];
9854[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv423)) True) vvv426) (abs (Neg vvv427)) (absReal1 (Neg (Succ vvv423)) True))",fontsize=16,color="black",shape="box"];9854 -> 10009[label="",style="solid", color="black", weight=3];
4389[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (`negate` Neg Zero) vvv235) (abs (Neg vvv222)) (`negate` Neg Zero))",fontsize=16,color="black",shape="box"];4389 -> 4576[label="",style="solid", color="black", weight=3];
4390[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv23500))) (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="black",shape="box"];4390 -> 4577[label="",style="solid", color="black", weight=3];
4391[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="black",shape="box"];4391 -> 4578[label="",style="solid", color="black", weight=3];
4392[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv23500))) (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="black",shape="box"];4392 -> 4579[label="",style="solid", color="black", weight=3];
4393[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="black",shape="box"];4393 -> 4580[label="",style="solid", color="black", weight=3];
4432[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (primNegInt (Neg (Succ vvv520))) vvv236) (abs (Pos (Succ vvv1950))) (primNegInt (Neg (Succ vvv520))))",fontsize=16,color="black",shape="box"];4432 -> 4615[label="",style="solid", color="black", weight=3];
10008[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv430)) True) vvv433) (abs (Pos (Succ vvv434))) (absReal1 (Neg (Succ vvv430)) True))",fontsize=16,color="black",shape="box"];10008 -> 10136[label="",style="solid", color="black", weight=3];
4438[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (`negate` Neg Zero) vvv236) (abs (Pos (Succ vvv1950))) (`negate` Neg Zero))",fontsize=16,color="black",shape="box"];4438 -> 4621[label="",style="solid", color="black", weight=3];
4439[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv23600))) (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="black",shape="box"];4439 -> 4622[label="",style="solid", color="black", weight=3];
4440[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="black",shape="box"];4440 -> 4623[label="",style="solid", color="black", weight=3];
4441[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv23600))) (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="black",shape="box"];4441 -> 4624[label="",style="solid", color="black", weight=3];
4442[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="black",shape="box"];4442 -> 4625[label="",style="solid", color="black", weight=3];
4443[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (`negate` Neg (Succ vvv520)) vvv241) (abs (Pos Zero)) (`negate` Neg (Succ vvv520)))",fontsize=16,color="black",shape="box"];4443 -> 4626[label="",style="solid", color="black", weight=3];
10547[label="vvv4600",fontsize=16,color="green",shape="box"];10548[label="vvv4590",fontsize=16,color="green",shape="box"];10549[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not False)) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not False)))",fontsize=16,color="black",shape="triangle"];10549 -> 10816[label="",style="solid", color="black", weight=3];
10550[label="vvv461",fontsize=16,color="green",shape="box"];10551[label="vvv457",fontsize=16,color="green",shape="box"];10552[label="vvv458",fontsize=16,color="green",shape="box"];10553 -> 10549[label="",style="dashed", color="red", weight=0];
10553[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) (not False)) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) (not False)))",fontsize=16,color="magenta"];4448[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (absReal0 (Neg Zero) True) vvv241) (abs (Pos Zero)) (absReal0 (Neg Zero) True))",fontsize=16,color="black",shape="box"];4448 -> 4632[label="",style="solid", color="black", weight=3];
4449[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2410)) (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30269[label="vvv2410/Succ vvv24100",fontsize=10,color="white",style="solid",shape="box"];4449 -> 30269[label="",style="solid", color="burlywood", weight=9];
30269 -> 4633[label="",style="solid", color="burlywood", weight=3];
30270[label="vvv2410/Zero",fontsize=10,color="white",style="solid",shape="box"];4449 -> 30270[label="",style="solid", color="burlywood", weight=9];
30270 -> 4634[label="",style="solid", color="burlywood", weight=3];
4450[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2410)) (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30271[label="vvv2410/Succ vvv24100",fontsize=10,color="white",style="solid",shape="box"];4450 -> 30271[label="",style="solid", color="burlywood", weight=9];
30271 -> 4635[label="",style="solid", color="burlywood", weight=3];
30272[label="vvv2410/Zero",fontsize=10,color="white",style="solid",shape="box"];4450 -> 30272[label="",style="solid", color="burlywood", weight=9];
30272 -> 4636[label="",style="solid", color="burlywood", weight=3];
4456[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primNegInt (Neg (Succ vvv520))) vvv237) (abs (Pos vvv224)) (primNegInt (Neg (Succ vvv520))))",fontsize=16,color="black",shape="box"];4456 -> 4641[label="",style="solid", color="black", weight=3];
10135[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv437)) True) vvv440) (abs (Pos vvv441)) (absReal1 (Neg (Succ vvv437)) True))",fontsize=16,color="black",shape="box"];10135 -> 10397[label="",style="solid", color="black", weight=3];
4462[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (`negate` Neg Zero) vvv237) (abs (Pos vvv224)) (`negate` Neg Zero))",fontsize=16,color="black",shape="box"];4462 -> 4647[label="",style="solid", color="black", weight=3];
4463[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv23700))) (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="black",shape="box"];4463 -> 4648[label="",style="solid", color="black", weight=3];
4464[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="black",shape="box"];4464 -> 4649[label="",style="solid", color="black", weight=3];
4465[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv23700))) (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="black",shape="box"];4465 -> 4650[label="",style="solid", color="black", weight=3];
4466[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="black",shape="box"];4466 -> 4651[label="",style="solid", color="black", weight=3];
10392[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv444)) False) vvv447) (abs (Neg (Succ vvv448))) (absReal1 (Pos (Succ vvv444)) False))",fontsize=16,color="black",shape="box"];10392 -> 10559[label="",style="solid", color="black", weight=3];
10393[label="vvv447",fontsize=16,color="green",shape="box"];10394[label="vvv444",fontsize=16,color="green",shape="box"];10395[label="vvv443",fontsize=16,color="green",shape="box"];10396[label="vvv448",fontsize=16,color="green",shape="box"];4477 -> 12871[label="",style="dashed", color="red", weight=0];
4477[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqNat vvv720 vvv23800) (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];4477 -> 12872[label="",style="dashed", color="magenta", weight=3];
4477 -> 12873[label="",style="dashed", color="magenta", weight=3];
4477 -> 12874[label="",style="dashed", color="magenta", weight=3];
4477 -> 12875[label="",style="dashed", color="magenta", weight=3];
4477 -> 12876[label="",style="dashed", color="magenta", weight=3];
4478 -> 4303[label="",style="dashed", color="red", weight=0];
4478[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];4479[label="primQuotInt (Neg vvv198) (gcd0Gcd'0 (abs (Neg (Succ vvv1990))) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4479 -> 4664[label="",style="solid", color="black", weight=3];
4480[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) True) vvv238) (abs (Neg (Succ vvv1990))) (absReal0 (Pos Zero) True))",fontsize=16,color="black",shape="box"];4480 -> 4665[label="",style="solid", color="black", weight=3];
4481[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv23800))) (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="black",shape="box"];4481 -> 4666[label="",style="solid", color="black", weight=3];
4482[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="black",shape="box"];4482 -> 4667[label="",style="solid", color="black", weight=3];
4483[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv23800))) (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="black",shape="box"];4483 -> 4668[label="",style="solid", color="black", weight=3];
4484[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="black",shape="box"];4484 -> 4669[label="",style="solid", color="black", weight=3];
10809[label="vvv4650",fontsize=16,color="green",shape="box"];10810[label="vvv4660",fontsize=16,color="green",shape="box"];10811[label="vvv464",fontsize=16,color="green",shape="box"];10812[label="vvv463",fontsize=16,color="green",shape="box"];10813[label="vvv467",fontsize=16,color="green",shape="box"];10814[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not True)) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not True)))",fontsize=16,color="black",shape="box"];10814 -> 10967[label="",style="solid", color="black", weight=3];
10815 -> 3921[label="",style="dashed", color="red", weight=0];
10815[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) (not False)) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) (not False)))",fontsize=16,color="magenta"];10815 -> 10968[label="",style="dashed", color="magenta", weight=3];
10815 -> 10969[label="",style="dashed", color="magenta", weight=3];
10815 -> 10970[label="",style="dashed", color="magenta", weight=3];
4523[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos (Succ vvv24300))) (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4523 -> 4705[label="",style="solid", color="black", weight=3];
4524[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv720)) (Pos Zero)) (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4524 -> 4706[label="",style="solid", color="black", weight=3];
4525[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="triangle"];4525 -> 4707[label="",style="solid", color="black", weight=3];
4526[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) otherwise) vvv243) (abs (Neg Zero)) (absReal0 (Pos Zero) otherwise))",fontsize=16,color="black",shape="box"];4526 -> 4708[label="",style="solid", color="black", weight=3];
4527[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2430)) (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30276[label="vvv2430/Succ vvv24300",fontsize=10,color="white",style="solid",shape="box"];4527 -> 30276[label="",style="solid", color="burlywood", weight=9];
30276 -> 4709[label="",style="solid", color="burlywood", weight=3];
30277[label="vvv2430/Zero",fontsize=10,color="white",style="solid",shape="box"];4527 -> 30277[label="",style="solid", color="burlywood", weight=9];
30277 -> 4710[label="",style="solid", color="burlywood", weight=3];
4528[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2430)) (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30278[label="vvv2430/Succ vvv24300",fontsize=10,color="white",style="solid",shape="box"];4528 -> 30278[label="",style="solid", color="burlywood", weight=9];
30278 -> 4711[label="",style="solid", color="burlywood", weight=3];
30279[label="vvv2430/Zero",fontsize=10,color="white",style="solid",shape="box"];4528 -> 30279[label="",style="solid", color="burlywood", weight=9];
30279 -> 4712[label="",style="solid", color="burlywood", weight=3];
10554[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv451)) False) vvv454) (abs (Neg vvv455)) (absReal1 (Pos (Succ vvv451)) False))",fontsize=16,color="black",shape="box"];10554 -> 10817[label="",style="solid", color="black", weight=3];
10555[label="vvv455",fontsize=16,color="green",shape="box"];10556[label="vvv454",fontsize=16,color="green",shape="box"];10557[label="vvv451",fontsize=16,color="green",shape="box"];10558[label="vvv450",fontsize=16,color="green",shape="box"];4539 -> 12116[label="",style="dashed", color="red", weight=0];
4539[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqNat vvv720 vvv23900) (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];4539 -> 12117[label="",style="dashed", color="magenta", weight=3];
4539 -> 12118[label="",style="dashed", color="magenta", weight=3];
4539 -> 12119[label="",style="dashed", color="magenta", weight=3];
4539 -> 12120[label="",style="dashed", color="magenta", weight=3];
4539 -> 12121[label="",style="dashed", color="magenta", weight=3];
4540 -> 4357[label="",style="dashed", color="red", weight=0];
4540[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 False (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];4541[label="primQuotInt (Pos vvv71) (gcd0Gcd'0 (abs (Neg vvv226)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4541 -> 4725[label="",style="solid", color="black", weight=3];
4542[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) True) vvv239) (abs (Neg vvv226)) (absReal0 (Pos Zero) True))",fontsize=16,color="black",shape="box"];4542 -> 4726[label="",style="solid", color="black", weight=3];
4543[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv23900))) (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="black",shape="box"];4543 -> 4727[label="",style="solid", color="black", weight=3];
4544[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="black",shape="box"];4544 -> 4728[label="",style="solid", color="black", weight=3];
4545[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv23900))) (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="black",shape="box"];4545 -> 4729[label="",style="solid", color="black", weight=3];
4546[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="black",shape="box"];4546 -> 4730[label="",style="solid", color="black", weight=3];
9855[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv416)) otherwise) vvv419) (abs (Pos vvv420)) (absReal0 (Pos (Succ vvv416)) otherwise))",fontsize=16,color="black",shape="box"];9855 -> 10010[label="",style="solid", color="black", weight=3];
11634[label="vvv1160",fontsize=16,color="green",shape="box"];11635[label="vvv220",fontsize=16,color="green",shape="box"];11636[label="vvv23400",fontsize=16,color="green",shape="box"];11637[label="vvv1160",fontsize=16,color="green",shape="box"];11638[label="vvv115",fontsize=16,color="green",shape="box"];11633[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat vvv486 vvv487) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="burlywood",shape="triangle"];30282[label="vvv486/Succ vvv4860",fontsize=10,color="white",style="solid",shape="box"];11633 -> 30282[label="",style="solid", color="burlywood", weight=9];
30282 -> 11679[label="",style="solid", color="burlywood", weight=3];
30283[label="vvv486/Zero",fontsize=10,color="white",style="solid",shape="box"];11633 -> 30283[label="",style="solid", color="burlywood", weight=9];
30283 -> 11680[label="",style="solid", color="burlywood", weight=3];
4560[label="primQuotInt (Pos vvv115) (gcd0Gcd' (Pos (Succ vvv1160)) (abs (Pos vvv220) `rem` Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];4560 -> 4744[label="",style="solid", color="black", weight=3];
4561[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (`negate` Pos Zero) vvv234) (abs (Pos vvv220)) (`negate` Pos Zero))",fontsize=16,color="black",shape="box"];4561 -> 4745[label="",style="solid", color="black", weight=3];
4562[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4562 -> 4746[label="",style="solid", color="black", weight=3];
4563[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4563 -> 4747[label="",style="solid", color="black", weight=3];
4564 -> 4562[label="",style="dashed", color="red", weight=0];
4564[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="magenta"];4565 -> 4563[label="",style="dashed", color="red", weight=0];
4565[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="magenta"];4570[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv470)) vvv235) (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="burlywood",shape="box"];30286[label="vvv235/Pos vvv2350",fontsize=10,color="white",style="solid",shape="box"];4570 -> 30286[label="",style="solid", color="burlywood", weight=9];
30286 -> 4753[label="",style="solid", color="burlywood", weight=3];
30287[label="vvv235/Neg vvv2350",fontsize=10,color="white",style="solid",shape="box"];4570 -> 30287[label="",style="solid", color="burlywood", weight=9];
30287 -> 4754[label="",style="solid", color="burlywood", weight=3];
10009[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv423)) vvv426) (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="burlywood",shape="triangle"];30288[label="vvv426/Pos vvv4260",fontsize=10,color="white",style="solid",shape="box"];10009 -> 30288[label="",style="solid", color="burlywood", weight=9];
30288 -> 10137[label="",style="solid", color="burlywood", weight=3];
30289[label="vvv426/Neg vvv4260",fontsize=10,color="white",style="solid",shape="box"];10009 -> 30289[label="",style="solid", color="burlywood", weight=9];
30289 -> 10138[label="",style="solid", color="burlywood", weight=3];
4576[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primNegInt (Neg Zero)) vvv235) (abs (Neg vvv222)) (primNegInt (Neg Zero)))",fontsize=16,color="black",shape="box"];4576 -> 4760[label="",style="solid", color="black", weight=3];
4577[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4577 -> 4761[label="",style="solid", color="black", weight=3];
4578[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4578 -> 4762[label="",style="solid", color="black", weight=3];
4579 -> 4577[label="",style="dashed", color="red", weight=0];
4579[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="magenta"];4580 -> 4578[label="",style="dashed", color="red", weight=0];
4580[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="magenta"];4615 -> 3944[label="",style="dashed", color="red", weight=0];
4615[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv520)) vvv236) (abs (Pos (Succ vvv1950))) (Pos (Succ vvv520)))",fontsize=16,color="magenta"];4615 -> 4804[label="",style="dashed", color="magenta", weight=3];
4615 -> 4805[label="",style="dashed", color="magenta", weight=3];
4615 -> 4806[label="",style="dashed", color="magenta", weight=3];
4615 -> 4807[label="",style="dashed", color="magenta", weight=3];
10136[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv430)) vvv433) (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="burlywood",shape="box"];30293[label="vvv433/Pos vvv4330",fontsize=10,color="white",style="solid",shape="box"];10136 -> 30293[label="",style="solid", color="burlywood", weight=9];
30293 -> 10398[label="",style="solid", color="burlywood", weight=3];
30294[label="vvv433/Neg vvv4330",fontsize=10,color="white",style="solid",shape="box"];10136 -> 30294[label="",style="solid", color="burlywood", weight=9];
30294 -> 10399[label="",style="solid", color="burlywood", weight=3];
4621[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (primNegInt (Neg Zero)) vvv236) (abs (Pos (Succ vvv1950))) (primNegInt (Neg Zero)))",fontsize=16,color="black",shape="box"];4621 -> 4813[label="",style="solid", color="black", weight=3];
4622[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 False (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4622 -> 4814[label="",style="solid", color="black", weight=3];
4623[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 True (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4623 -> 4815[label="",style="solid", color="black", weight=3];
4624 -> 4622[label="",style="dashed", color="red", weight=0];
4624[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 False (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="magenta"];4625 -> 4623[label="",style="dashed", color="red", weight=0];
4625[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 True (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="magenta"];4626[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (primNegInt (Neg (Succ vvv520))) vvv241) (abs (Pos Zero)) (primNegInt (Neg (Succ vvv520))))",fontsize=16,color="black",shape="box"];4626 -> 4816[label="",style="solid", color="black", weight=3];
10816[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (absReal1 (Neg (Succ vvv458)) True) vvv461) (abs (Pos Zero)) (absReal1 (Neg (Succ vvv458)) True))",fontsize=16,color="black",shape="box"];10816 -> 10971[label="",style="solid", color="black", weight=3];
4632[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (`negate` Neg Zero) vvv241) (abs (Pos Zero)) (`negate` Neg Zero))",fontsize=16,color="black",shape="box"];4632 -> 4822[label="",style="solid", color="black", weight=3];
4633[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv24100))) (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];4633 -> 4823[label="",style="solid", color="black", weight=3];
4634[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];4634 -> 4824[label="",style="solid", color="black", weight=3];
4635[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv24100))) (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];4635 -> 4825[label="",style="solid", color="black", weight=3];
4636[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];4636 -> 4826[label="",style="solid", color="black", weight=3];
4641[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv520)) vvv237) (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="burlywood",shape="box"];30297[label="vvv237/Pos vvv2370",fontsize=10,color="white",style="solid",shape="box"];4641 -> 30297[label="",style="solid", color="burlywood", weight=9];
30297 -> 4832[label="",style="solid", color="burlywood", weight=3];
30298[label="vvv237/Neg vvv2370",fontsize=10,color="white",style="solid",shape="box"];4641 -> 30298[label="",style="solid", color="burlywood", weight=9];
30298 -> 4833[label="",style="solid", color="burlywood", weight=3];
10397[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv437)) vvv440) (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="burlywood",shape="box"];30299[label="vvv440/Pos vvv4400",fontsize=10,color="white",style="solid",shape="box"];10397 -> 30299[label="",style="solid", color="burlywood", weight=9];
30299 -> 10560[label="",style="solid", color="burlywood", weight=3];
30300[label="vvv440/Neg vvv4400",fontsize=10,color="white",style="solid",shape="box"];10397 -> 30300[label="",style="solid", color="burlywood", weight=9];
30300 -> 10561[label="",style="solid", color="burlywood", weight=3];
4647[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primNegInt (Neg Zero)) vvv237) (abs (Pos vvv224)) (primNegInt (Neg Zero)))",fontsize=16,color="black",shape="box"];4647 -> 4839[label="",style="solid", color="black", weight=3];
4648[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4648 -> 4840[label="",style="solid", color="black", weight=3];
4649[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4649 -> 4841[label="",style="solid", color="black", weight=3];
4650 -> 4648[label="",style="dashed", color="red", weight=0];
4650[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="magenta"];4651 -> 4649[label="",style="dashed", color="red", weight=0];
4651[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="magenta"];10559[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv444)) otherwise) vvv447) (abs (Neg (Succ vvv448))) (absReal0 (Pos (Succ vvv444)) otherwise))",fontsize=16,color="black",shape="box"];10559 -> 10818[label="",style="solid", color="black", weight=3];
12872[label="vvv720",fontsize=16,color="green",shape="box"];12873[label="Succ vvv1990",fontsize=16,color="green",shape="box"];12874[label="vvv198",fontsize=16,color="green",shape="box"];12875[label="vvv23800",fontsize=16,color="green",shape="box"];12876[label="vvv720",fontsize=16,color="green",shape="box"];12871[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat vvv522 vvv523) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="burlywood",shape="triangle"];30303[label="vvv522/Succ vvv5220",fontsize=10,color="white",style="solid",shape="box"];12871 -> 30303[label="",style="solid", color="burlywood", weight=9];
30303 -> 12947[label="",style="solid", color="burlywood", weight=3];
30304[label="vvv522/Zero",fontsize=10,color="white",style="solid",shape="box"];12871 -> 30304[label="",style="solid", color="burlywood", weight=9];
30304 -> 12948[label="",style="solid", color="burlywood", weight=3];
4664[label="primQuotInt (Neg vvv198) (gcd0Gcd' (Pos (Succ vvv720)) (abs (Neg (Succ vvv1990)) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4664 -> 4856[label="",style="solid", color="black", weight=3];
4665[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (`negate` Pos Zero) vvv238) (abs (Neg (Succ vvv1990))) (`negate` Pos Zero))",fontsize=16,color="black",shape="box"];4665 -> 4857[label="",style="solid", color="black", weight=3];
4666[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4666 -> 4858[label="",style="solid", color="black", weight=3];
4667[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 True (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4667 -> 4859[label="",style="solid", color="black", weight=3];
4668 -> 4666[label="",style="dashed", color="red", weight=0];
4668[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="magenta"];4669 -> 4667[label="",style="dashed", color="red", weight=0];
4669[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 True (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="magenta"];10967[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal1 (Pos (Succ vvv464)) False) vvv467) (abs (Neg Zero)) (absReal1 (Pos (Succ vvv464)) False))",fontsize=16,color="black",shape="box"];10967 -> 11219[label="",style="solid", color="black", weight=3];
10968[label="vvv464",fontsize=16,color="green",shape="box"];10969[label="vvv463",fontsize=16,color="green",shape="box"];10970[label="vvv467",fontsize=16,color="green",shape="box"];4705 -> 12871[label="",style="dashed", color="red", weight=0];
4705[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqNat vvv720 vvv24300) (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];4705 -> 12882[label="",style="dashed", color="magenta", weight=3];
4705 -> 12883[label="",style="dashed", color="magenta", weight=3];
4705 -> 12884[label="",style="dashed", color="magenta", weight=3];
4705 -> 12885[label="",style="dashed", color="magenta", weight=3];
4705 -> 12886[label="",style="dashed", color="magenta", weight=3];
4706 -> 4525[label="",style="dashed", color="red", weight=0];
4706[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="magenta"];4707[label="primQuotInt (Neg vvv198) (gcd0Gcd'0 (abs (Neg Zero)) (Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4707 -> 4904[label="",style="solid", color="black", weight=3];
4708[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (absReal0 (Pos Zero) True) vvv243) (abs (Neg Zero)) (absReal0 (Pos Zero) True))",fontsize=16,color="black",shape="box"];4708 -> 4905[label="",style="solid", color="black", weight=3];
4709[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv24300))) (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];4709 -> 4906[label="",style="solid", color="black", weight=3];
4710[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];4710 -> 4907[label="",style="solid", color="black", weight=3];
4711[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv24300))) (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];4711 -> 4908[label="",style="solid", color="black", weight=3];
4712[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];4712 -> 4909[label="",style="solid", color="black", weight=3];
10817[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv451)) otherwise) vvv454) (abs (Neg vvv455)) (absReal0 (Pos (Succ vvv451)) otherwise))",fontsize=16,color="black",shape="box"];10817 -> 10972[label="",style="solid", color="black", weight=3];
12117[label="vvv23900",fontsize=16,color="green",shape="box"];12118[label="vvv226",fontsize=16,color="green",shape="box"];12119[label="vvv720",fontsize=16,color="green",shape="box"];12120[label="vvv720",fontsize=16,color="green",shape="box"];12121[label="vvv71",fontsize=16,color="green",shape="box"];12116[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat vvv509 vvv510) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="burlywood",shape="triangle"];30309[label="vvv509/Succ vvv5090",fontsize=10,color="white",style="solid",shape="box"];12116 -> 30309[label="",style="solid", color="burlywood", weight=9];
30309 -> 12162[label="",style="solid", color="burlywood", weight=3];
30310[label="vvv509/Zero",fontsize=10,color="white",style="solid",shape="box"];12116 -> 30310[label="",style="solid", color="burlywood", weight=9];
30310 -> 12163[label="",style="solid", color="burlywood", weight=3];
4725[label="primQuotInt (Pos vvv71) (gcd0Gcd' (Pos (Succ vvv720)) (abs (Neg vvv226) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4725 -> 4924[label="",style="solid", color="black", weight=3];
4726[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (`negate` Pos Zero) vvv239) (abs (Neg vvv226)) (`negate` Pos Zero))",fontsize=16,color="black",shape="box"];4726 -> 4925[label="",style="solid", color="black", weight=3];
4727[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 False (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4727 -> 4926[label="",style="solid", color="black", weight=3];
4728[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 True (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4728 -> 4927[label="",style="solid", color="black", weight=3];
4729 -> 4727[label="",style="dashed", color="red", weight=0];
4729[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 False (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="magenta"];4730 -> 4728[label="",style="dashed", color="red", weight=0];
4730[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 True (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="magenta"];10010[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv416)) True) vvv419) (abs (Pos vvv420)) (absReal0 (Pos (Succ vvv416)) True))",fontsize=16,color="black",shape="box"];10010 -> 10139[label="",style="solid", color="black", weight=3];
11679[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat (Succ vvv4860) vvv487) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="burlywood",shape="box"];30313[label="vvv487/Succ vvv4870",fontsize=10,color="white",style="solid",shape="box"];11679 -> 30313[label="",style="solid", color="burlywood", weight=9];
30313 -> 11684[label="",style="solid", color="burlywood", weight=3];
30314[label="vvv487/Zero",fontsize=10,color="white",style="solid",shape="box"];11679 -> 30314[label="",style="solid", color="burlywood", weight=9];
30314 -> 11685[label="",style="solid", color="burlywood", weight=3];
11680[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat Zero vvv487) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="burlywood",shape="box"];30315[label="vvv487/Succ vvv4870",fontsize=10,color="white",style="solid",shape="box"];11680 -> 30315[label="",style="solid", color="burlywood", weight=9];
30315 -> 11686[label="",style="solid", color="burlywood", weight=3];
30316[label="vvv487/Zero",fontsize=10,color="white",style="solid",shape="box"];11680 -> 30316[label="",style="solid", color="burlywood", weight=9];
30316 -> 11687[label="",style="solid", color="burlywood", weight=3];
4744[label="primQuotInt (Pos vvv115) (gcd0Gcd'2 (Pos (Succ vvv1160)) (abs (Pos vvv220) `rem` Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];4744 -> 4943[label="",style="solid", color="black", weight=3];
4745[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primNegInt (Pos Zero)) vvv234) (abs (Pos vvv220)) (primNegInt (Pos Zero)))",fontsize=16,color="black",shape="box"];4745 -> 4944[label="",style="solid", color="black", weight=3];
4746[label="primQuotInt (Pos vvv115) (gcd0Gcd'0 (abs (Pos vvv220)) (Pos Zero))",fontsize=16,color="black",shape="box"];4746 -> 4945[label="",style="solid", color="black", weight=3];
4747[label="primQuotInt (Pos vvv115) (abs (Pos vvv220))",fontsize=16,color="black",shape="triangle"];4747 -> 4946[label="",style="solid", color="black", weight=3];
4753[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv470)) (Pos vvv2350)) (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="burlywood",shape="box"];30317[label="vvv2350/Succ vvv23500",fontsize=10,color="white",style="solid",shape="box"];4753 -> 30317[label="",style="solid", color="burlywood", weight=9];
30317 -> 4951[label="",style="solid", color="burlywood", weight=3];
30318[label="vvv2350/Zero",fontsize=10,color="white",style="solid",shape="box"];4753 -> 30318[label="",style="solid", color="burlywood", weight=9];
30318 -> 4952[label="",style="solid", color="burlywood", weight=3];
4754[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv470)) (Neg vvv2350)) (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="black",shape="box"];4754 -> 4953[label="",style="solid", color="black", weight=3];
10137[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv423)) (Pos vvv4260)) (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="black",shape="box"];10137 -> 10400[label="",style="solid", color="black", weight=3];
10138[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv423)) (Neg vvv4260)) (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="burlywood",shape="box"];30319[label="vvv4260/Succ vvv42600",fontsize=10,color="white",style="solid",shape="box"];10138 -> 30319[label="",style="solid", color="burlywood", weight=9];
30319 -> 10401[label="",style="solid", color="burlywood", weight=3];
30320[label="vvv4260/Zero",fontsize=10,color="white",style="solid",shape="box"];10138 -> 30320[label="",style="solid", color="burlywood", weight=9];
30320 -> 10402[label="",style="solid", color="burlywood", weight=3];
4760[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv235) (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30321[label="vvv235/Pos vvv2350",fontsize=10,color="white",style="solid",shape="box"];4760 -> 30321[label="",style="solid", color="burlywood", weight=9];
30321 -> 4961[label="",style="solid", color="burlywood", weight=3];
30322[label="vvv235/Neg vvv2350",fontsize=10,color="white",style="solid",shape="box"];4760 -> 30322[label="",style="solid", color="burlywood", weight=9];
30322 -> 4962[label="",style="solid", color="burlywood", weight=3];
4761[label="primQuotInt (Neg vvv46) (gcd0Gcd'0 (abs (Neg vvv222)) (Neg Zero))",fontsize=16,color="black",shape="box"];4761 -> 4963[label="",style="solid", color="black", weight=3];
4762[label="primQuotInt (Neg vvv46) (abs (Neg vvv222))",fontsize=16,color="black",shape="triangle"];4762 -> 4964[label="",style="solid", color="black", weight=3];
4804[label="Succ vvv1950",fontsize=16,color="green",shape="box"];4805[label="vvv194",fontsize=16,color="green",shape="box"];4806[label="vvv520",fontsize=16,color="green",shape="box"];4807[label="vvv236",fontsize=16,color="green",shape="box"];10398[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv430)) (Pos vvv4330)) (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="black",shape="box"];10398 -> 10562[label="",style="solid", color="black", weight=3];
10399[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv430)) (Neg vvv4330)) (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="burlywood",shape="box"];30323[label="vvv4330/Succ vvv43300",fontsize=10,color="white",style="solid",shape="box"];10399 -> 30323[label="",style="solid", color="burlywood", weight=9];
30323 -> 10563[label="",style="solid", color="burlywood", weight=3];
30324[label="vvv4330/Zero",fontsize=10,color="white",style="solid",shape="box"];10399 -> 30324[label="",style="solid", color="burlywood", weight=9];
30324 -> 10564[label="",style="solid", color="burlywood", weight=3];
4813 -> 4080[label="",style="dashed", color="red", weight=0];
4813[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv236) (abs (Pos (Succ vvv1950))) (Pos Zero))",fontsize=16,color="magenta"];4813 -> 5015[label="",style="dashed", color="magenta", weight=3];
4813 -> 5016[label="",style="dashed", color="magenta", weight=3];
4813 -> 5017[label="",style="dashed", color="magenta", weight=3];
4814[label="primQuotInt (Pos vvv194) (gcd0Gcd'0 (abs (Pos (Succ vvv1950))) (Neg Zero))",fontsize=16,color="black",shape="box"];4814 -> 5018[label="",style="solid", color="black", weight=3];
4815 -> 4747[label="",style="dashed", color="red", weight=0];
4815[label="primQuotInt (Pos vvv194) (abs (Pos (Succ vvv1950)))",fontsize=16,color="magenta"];4815 -> 5019[label="",style="dashed", color="magenta", weight=3];
4815 -> 5020[label="",style="dashed", color="magenta", weight=3];
4816 -> 3944[label="",style="dashed", color="red", weight=0];
4816[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv520)) vvv241) (abs (Pos Zero)) (Pos (Succ vvv520)))",fontsize=16,color="magenta"];4816 -> 5021[label="",style="dashed", color="magenta", weight=3];
4816 -> 5022[label="",style="dashed", color="magenta", weight=3];
4816 -> 5023[label="",style="dashed", color="magenta", weight=3];
4816 -> 5024[label="",style="dashed", color="magenta", weight=3];
10971 -> 10568[label="",style="dashed", color="red", weight=0];
10971[label="primQuotInt (Pos vvv457) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv458)) vvv461) (abs (Pos Zero)) (Neg (Succ vvv458)))",fontsize=16,color="magenta"];10971 -> 11220[label="",style="dashed", color="magenta", weight=3];
10971 -> 11221[label="",style="dashed", color="magenta", weight=3];
10971 -> 11222[label="",style="dashed", color="magenta", weight=3];
10971 -> 11223[label="",style="dashed", color="magenta", weight=3];
4822[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (primNegInt (Neg Zero)) vvv241) (abs (Pos Zero)) (primNegInt (Neg Zero)))",fontsize=16,color="black",shape="box"];4822 -> 5030[label="",style="solid", color="black", weight=3];
4823[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 False (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4823 -> 5031[label="",style="solid", color="black", weight=3];
4824[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 True (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];4824 -> 5032[label="",style="solid", color="black", weight=3];
4825 -> 4823[label="",style="dashed", color="red", weight=0];
4825[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 False (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="magenta"];4826 -> 4824[label="",style="dashed", color="red", weight=0];
4826[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 True (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="magenta"];4832[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv520)) (Pos vvv2370)) (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="burlywood",shape="box"];30331[label="vvv2370/Succ vvv23700",fontsize=10,color="white",style="solid",shape="box"];4832 -> 30331[label="",style="solid", color="burlywood", weight=9];
30331 -> 5038[label="",style="solid", color="burlywood", weight=3];
30332[label="vvv2370/Zero",fontsize=10,color="white",style="solid",shape="box"];4832 -> 30332[label="",style="solid", color="burlywood", weight=9];
30332 -> 5039[label="",style="solid", color="burlywood", weight=3];
4833[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv520)) (Neg vvv2370)) (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="black",shape="box"];4833 -> 5040[label="",style="solid", color="black", weight=3];
10560[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv437)) (Pos vvv4400)) (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="black",shape="box"];10560 -> 10819[label="",style="solid", color="black", weight=3];
10561[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv437)) (Neg vvv4400)) (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="burlywood",shape="box"];30333[label="vvv4400/Succ vvv44000",fontsize=10,color="white",style="solid",shape="box"];10561 -> 30333[label="",style="solid", color="burlywood", weight=9];
30333 -> 10820[label="",style="solid", color="burlywood", weight=3];
30334[label="vvv4400/Zero",fontsize=10,color="white",style="solid",shape="box"];10561 -> 30334[label="",style="solid", color="burlywood", weight=9];
30334 -> 10821[label="",style="solid", color="burlywood", weight=3];
4839[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv237) (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30335[label="vvv237/Pos vvv2370",fontsize=10,color="white",style="solid",shape="box"];4839 -> 30335[label="",style="solid", color="burlywood", weight=9];
30335 -> 5048[label="",style="solid", color="burlywood", weight=3];
30336[label="vvv237/Neg vvv2370",fontsize=10,color="white",style="solid",shape="box"];4839 -> 30336[label="",style="solid", color="burlywood", weight=9];
30336 -> 5049[label="",style="solid", color="burlywood", weight=3];
4840[label="primQuotInt (Neg vvv51) (gcd0Gcd'0 (abs (Pos vvv224)) (Neg Zero))",fontsize=16,color="black",shape="box"];4840 -> 5050[label="",style="solid", color="black", weight=3];
4841[label="primQuotInt (Neg vvv51) (abs (Pos vvv224))",fontsize=16,color="black",shape="triangle"];4841 -> 5051[label="",style="solid", color="black", weight=3];
10818[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv444)) True) vvv447) (abs (Neg (Succ vvv448))) (absReal0 (Pos (Succ vvv444)) True))",fontsize=16,color="black",shape="box"];10818 -> 10973[label="",style="solid", color="black", weight=3];
12947[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat (Succ vvv5220) vvv523) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="burlywood",shape="box"];30337[label="vvv523/Succ vvv5230",fontsize=10,color="white",style="solid",shape="box"];12947 -> 30337[label="",style="solid", color="burlywood", weight=9];
30337 -> 13120[label="",style="solid", color="burlywood", weight=3];
30338[label="vvv523/Zero",fontsize=10,color="white",style="solid",shape="box"];12947 -> 30338[label="",style="solid", color="burlywood", weight=9];
30338 -> 13121[label="",style="solid", color="burlywood", weight=3];
12948[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat Zero vvv523) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="burlywood",shape="box"];30339[label="vvv523/Succ vvv5230",fontsize=10,color="white",style="solid",shape="box"];12948 -> 30339[label="",style="solid", color="burlywood", weight=9];
30339 -> 13122[label="",style="solid", color="burlywood", weight=3];
30340[label="vvv523/Zero",fontsize=10,color="white",style="solid",shape="box"];12948 -> 30340[label="",style="solid", color="burlywood", weight=9];
30340 -> 13123[label="",style="solid", color="burlywood", weight=3];
4856[label="primQuotInt (Neg vvv198) (gcd0Gcd'2 (Pos (Succ vvv720)) (abs (Neg (Succ vvv1990)) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4856 -> 5067[label="",style="solid", color="black", weight=3];
4857[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (primNegInt (Pos Zero)) vvv238) (abs (Neg (Succ vvv1990))) (primNegInt (Pos Zero)))",fontsize=16,color="black",shape="box"];4857 -> 5068[label="",style="solid", color="black", weight=3];
4858[label="primQuotInt (Neg vvv198) (gcd0Gcd'0 (abs (Neg (Succ vvv1990))) (Pos Zero))",fontsize=16,color="black",shape="box"];4858 -> 5069[label="",style="solid", color="black", weight=3];
4859 -> 4762[label="",style="dashed", color="red", weight=0];
4859[label="primQuotInt (Neg vvv198) (abs (Neg (Succ vvv1990)))",fontsize=16,color="magenta"];4859 -> 5070[label="",style="dashed", color="magenta", weight=3];
4859 -> 5071[label="",style="dashed", color="magenta", weight=3];
11219[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv464)) otherwise) vvv467) (abs (Neg Zero)) (absReal0 (Pos (Succ vvv464)) otherwise))",fontsize=16,color="black",shape="box"];11219 -> 11271[label="",style="solid", color="black", weight=3];
12882[label="vvv720",fontsize=16,color="green",shape="box"];12883[label="Zero",fontsize=16,color="green",shape="box"];12884[label="vvv198",fontsize=16,color="green",shape="box"];12885[label="vvv24300",fontsize=16,color="green",shape="box"];12886[label="vvv720",fontsize=16,color="green",shape="box"];4904[label="primQuotInt (Neg vvv198) (gcd0Gcd' (Pos (Succ vvv720)) (abs (Neg Zero) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4904 -> 5120[label="",style="solid", color="black", weight=3];
4905[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (`negate` Pos Zero) vvv243) (abs (Neg Zero)) (`negate` Pos Zero))",fontsize=16,color="black",shape="box"];4905 -> 5121[label="",style="solid", color="black", weight=3];
4906[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4906 -> 5122[label="",style="solid", color="black", weight=3];
4907[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 True (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];4907 -> 5123[label="",style="solid", color="black", weight=3];
4908 -> 4906[label="",style="dashed", color="red", weight=0];
4908[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 False (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="magenta"];4909 -> 4907[label="",style="dashed", color="red", weight=0];
4909[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 True (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="magenta"];10972[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv451)) True) vvv454) (abs (Neg vvv455)) (absReal0 (Pos (Succ vvv451)) True))",fontsize=16,color="black",shape="box"];10972 -> 11224[label="",style="solid", color="black", weight=3];
12162[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat (Succ vvv5090) vvv510) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="burlywood",shape="box"];30344[label="vvv510/Succ vvv5100",fontsize=10,color="white",style="solid",shape="box"];12162 -> 30344[label="",style="solid", color="burlywood", weight=9];
30344 -> 12167[label="",style="solid", color="burlywood", weight=3];
30345[label="vvv510/Zero",fontsize=10,color="white",style="solid",shape="box"];12162 -> 30345[label="",style="solid", color="burlywood", weight=9];
30345 -> 12168[label="",style="solid", color="burlywood", weight=3];
12163[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat Zero vvv510) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="burlywood",shape="box"];30346[label="vvv510/Succ vvv5100",fontsize=10,color="white",style="solid",shape="box"];12163 -> 30346[label="",style="solid", color="burlywood", weight=9];
30346 -> 12169[label="",style="solid", color="burlywood", weight=3];
30347[label="vvv510/Zero",fontsize=10,color="white",style="solid",shape="box"];12163 -> 30347[label="",style="solid", color="burlywood", weight=9];
30347 -> 12170[label="",style="solid", color="burlywood", weight=3];
4924[label="primQuotInt (Pos vvv71) (gcd0Gcd'2 (Pos (Succ vvv720)) (abs (Neg vvv226) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];4924 -> 5139[label="",style="solid", color="black", weight=3];
4925[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primNegInt (Pos Zero)) vvv239) (abs (Neg vvv226)) (primNegInt (Pos Zero)))",fontsize=16,color="black",shape="box"];4925 -> 5140[label="",style="solid", color="black", weight=3];
4926[label="primQuotInt (Pos vvv71) (gcd0Gcd'0 (abs (Neg vvv226)) (Pos Zero))",fontsize=16,color="black",shape="box"];4926 -> 5141[label="",style="solid", color="black", weight=3];
4927[label="primQuotInt (Pos vvv71) (abs (Neg vvv226))",fontsize=16,color="black",shape="triangle"];4927 -> 5142[label="",style="solid", color="black", weight=3];
10139[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (`negate` Pos (Succ vvv416)) vvv419) (abs (Pos vvv420)) (`negate` Pos (Succ vvv416)))",fontsize=16,color="black",shape="box"];10139 -> 10403[label="",style="solid", color="black", weight=3];
11684[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat (Succ vvv4860) (Succ vvv4870)) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="black",shape="box"];11684 -> 11708[label="",style="solid", color="black", weight=3];
11685[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat (Succ vvv4860) Zero) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="black",shape="box"];11685 -> 11709[label="",style="solid", color="black", weight=3];
11686[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat Zero (Succ vvv4870)) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="black",shape="box"];11686 -> 11710[label="",style="solid", color="black", weight=3];
11687[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="black",shape="box"];11687 -> 11711[label="",style="solid", color="black", weight=3];
4943 -> 5160[label="",style="dashed", color="red", weight=0];
4943[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (abs (Pos vvv220) `rem` Pos (Succ vvv1160) == fromInt (Pos Zero)) (Pos (Succ vvv1160)) (abs (Pos vvv220) `rem` Pos (Succ vvv1160)))",fontsize=16,color="magenta"];4943 -> 5161[label="",style="dashed", color="magenta", weight=3];
4944[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv234) (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30349[label="vvv234/Pos vvv2340",fontsize=10,color="white",style="solid",shape="box"];4944 -> 30349[label="",style="solid", color="burlywood", weight=9];
30349 -> 5162[label="",style="solid", color="burlywood", weight=3];
30350[label="vvv234/Neg vvv2340",fontsize=10,color="white",style="solid",shape="box"];4944 -> 30350[label="",style="solid", color="burlywood", weight=9];
30350 -> 5163[label="",style="solid", color="burlywood", weight=3];
4945 -> 20968[label="",style="dashed", color="red", weight=0];
4945[label="primQuotInt (Pos vvv115) (gcd0Gcd' (Pos Zero) (abs (Pos vvv220) `rem` Pos Zero))",fontsize=16,color="magenta"];4945 -> 20969[label="",style="dashed", color="magenta", weight=3];
4945 -> 20970[label="",style="dashed", color="magenta", weight=3];
4946[label="primQuotInt (Pos vvv115) (absReal (Pos vvv220))",fontsize=16,color="black",shape="box"];4946 -> 5165[label="",style="solid", color="black", weight=3];
4951[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv470)) (Pos (Succ vvv23500))) (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="black",shape="box"];4951 -> 5170[label="",style="solid", color="black", weight=3];
4952[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv470)) (Pos Zero)) (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="black",shape="box"];4952 -> 5171[label="",style="solid", color="black", weight=3];
4953[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="black",shape="triangle"];4953 -> 5172[label="",style="solid", color="black", weight=3];
10400[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 False (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="black",shape="triangle"];10400 -> 10565[label="",style="solid", color="black", weight=3];
10401[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv423)) (Neg (Succ vvv42600))) (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="black",shape="box"];10401 -> 10566[label="",style="solid", color="black", weight=3];
10402[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv423)) (Neg Zero)) (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="black",shape="box"];10402 -> 10567[label="",style="solid", color="black", weight=3];
4961[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2350)) (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30352[label="vvv2350/Succ vvv23500",fontsize=10,color="white",style="solid",shape="box"];4961 -> 30352[label="",style="solid", color="burlywood", weight=9];
30352 -> 5181[label="",style="solid", color="burlywood", weight=3];
30353[label="vvv2350/Zero",fontsize=10,color="white",style="solid",shape="box"];4961 -> 30353[label="",style="solid", color="burlywood", weight=9];
30353 -> 5182[label="",style="solid", color="burlywood", weight=3];
4962[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2350)) (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30354[label="vvv2350/Succ vvv23500",fontsize=10,color="white",style="solid",shape="box"];4962 -> 30354[label="",style="solid", color="burlywood", weight=9];
30354 -> 5183[label="",style="solid", color="burlywood", weight=3];
30355[label="vvv2350/Zero",fontsize=10,color="white",style="solid",shape="box"];4962 -> 30355[label="",style="solid", color="burlywood", weight=9];
30355 -> 5184[label="",style="solid", color="burlywood", weight=3];
4963 -> 24354[label="",style="dashed", color="red", weight=0];
4963[label="primQuotInt (Neg vvv46) (gcd0Gcd' (Neg Zero) (abs (Neg vvv222) `rem` Neg Zero))",fontsize=16,color="magenta"];4963 -> 24355[label="",style="dashed", color="magenta", weight=3];
4963 -> 24356[label="",style="dashed", color="magenta", weight=3];
4964[label="primQuotInt (Neg vvv46) (absReal (Neg vvv222))",fontsize=16,color="black",shape="box"];4964 -> 5186[label="",style="solid", color="black", weight=3];
10562[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 False (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="black",shape="triangle"];10562 -> 10822[label="",style="solid", color="black", weight=3];
10563[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv430)) (Neg (Succ vvv43300))) (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="black",shape="box"];10563 -> 10823[label="",style="solid", color="black", weight=3];
10564[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv430)) (Neg Zero)) (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="black",shape="box"];10564 -> 10824[label="",style="solid", color="black", weight=3];
5015[label="Succ vvv1950",fontsize=16,color="green",shape="box"];5016[label="vvv194",fontsize=16,color="green",shape="box"];5017[label="vvv236",fontsize=16,color="green",shape="box"];5018 -> 27453[label="",style="dashed", color="red", weight=0];
5018[label="primQuotInt (Pos vvv194) (gcd0Gcd' (Neg Zero) (abs (Pos (Succ vvv1950)) `rem` Neg Zero))",fontsize=16,color="magenta"];5018 -> 27454[label="",style="dashed", color="magenta", weight=3];
5018 -> 27455[label="",style="dashed", color="magenta", weight=3];
5019[label="Succ vvv1950",fontsize=16,color="green",shape="box"];5020[label="vvv194",fontsize=16,color="green",shape="box"];5021[label="Zero",fontsize=16,color="green",shape="box"];5022[label="vvv194",fontsize=16,color="green",shape="box"];5023[label="vvv520",fontsize=16,color="green",shape="box"];5024[label="vvv241",fontsize=16,color="green",shape="box"];11220[label="vvv461",fontsize=16,color="green",shape="box"];11221[label="vvv458",fontsize=16,color="green",shape="box"];11222[label="Zero",fontsize=16,color="green",shape="box"];11223[label="vvv457",fontsize=16,color="green",shape="box"];10568[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv416)) vvv419) (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="burlywood",shape="triangle"];30358[label="vvv419/Pos vvv4190",fontsize=10,color="white",style="solid",shape="box"];10568 -> 30358[label="",style="solid", color="burlywood", weight=9];
30358 -> 10828[label="",style="solid", color="burlywood", weight=3];
30359[label="vvv419/Neg vvv4190",fontsize=10,color="white",style="solid",shape="box"];10568 -> 30359[label="",style="solid", color="burlywood", weight=9];
30359 -> 10829[label="",style="solid", color="burlywood", weight=3];
5030 -> 4080[label="",style="dashed", color="red", weight=0];
5030[label="primQuotInt (Pos vvv194) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv241) (abs (Pos Zero)) (Pos Zero))",fontsize=16,color="magenta"];5030 -> 5255[label="",style="dashed", color="magenta", weight=3];
5030 -> 5256[label="",style="dashed", color="magenta", weight=3];
5030 -> 5257[label="",style="dashed", color="magenta", weight=3];
5031[label="primQuotInt (Pos vvv194) (gcd0Gcd'0 (abs (Pos Zero)) (Neg Zero))",fontsize=16,color="black",shape="box"];5031 -> 5258[label="",style="solid", color="black", weight=3];
5032 -> 4747[label="",style="dashed", color="red", weight=0];
5032[label="primQuotInt (Pos vvv194) (abs (Pos Zero))",fontsize=16,color="magenta"];5032 -> 5259[label="",style="dashed", color="magenta", weight=3];
5032 -> 5260[label="",style="dashed", color="magenta", weight=3];
5038[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv520)) (Pos (Succ vvv23700))) (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="black",shape="box"];5038 -> 5265[label="",style="solid", color="black", weight=3];
5039[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv520)) (Pos Zero)) (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="black",shape="box"];5039 -> 5266[label="",style="solid", color="black", weight=3];
5040[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="black",shape="triangle"];5040 -> 5267[label="",style="solid", color="black", weight=3];
10819[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 False (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="black",shape="triangle"];10819 -> 10974[label="",style="solid", color="black", weight=3];
10820[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv437)) (Neg (Succ vvv44000))) (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="black",shape="box"];10820 -> 10975[label="",style="solid", color="black", weight=3];
10821[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv437)) (Neg Zero)) (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="black",shape="box"];10821 -> 10976[label="",style="solid", color="black", weight=3];
5048[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2370)) (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30362[label="vvv2370/Succ vvv23700",fontsize=10,color="white",style="solid",shape="box"];5048 -> 30362[label="",style="solid", color="burlywood", weight=9];
30362 -> 5276[label="",style="solid", color="burlywood", weight=3];
30363[label="vvv2370/Zero",fontsize=10,color="white",style="solid",shape="box"];5048 -> 30363[label="",style="solid", color="burlywood", weight=9];
30363 -> 5277[label="",style="solid", color="burlywood", weight=3];
5049[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2370)) (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];30364[label="vvv2370/Succ vvv23700",fontsize=10,color="white",style="solid",shape="box"];5049 -> 30364[label="",style="solid", color="burlywood", weight=9];
30364 -> 5278[label="",style="solid", color="burlywood", weight=3];
30365[label="vvv2370/Zero",fontsize=10,color="white",style="solid",shape="box"];5049 -> 30365[label="",style="solid", color="burlywood", weight=9];
30365 -> 5279[label="",style="solid", color="burlywood", weight=3];
5050 -> 24354[label="",style="dashed", color="red", weight=0];
5050[label="primQuotInt (Neg vvv51) (gcd0Gcd' (Neg Zero) (abs (Pos vvv224) `rem` Neg Zero))",fontsize=16,color="magenta"];5050 -> 24357[label="",style="dashed", color="magenta", weight=3];
5050 -> 24358[label="",style="dashed", color="magenta", weight=3];
5051[label="primQuotInt (Neg vvv51) (absReal (Pos vvv224))",fontsize=16,color="black",shape="box"];5051 -> 5281[label="",style="solid", color="black", weight=3];
10973[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (`negate` Pos (Succ vvv444)) vvv447) (abs (Neg (Succ vvv448))) (`negate` Pos (Succ vvv444)))",fontsize=16,color="black",shape="box"];10973 -> 11225[label="",style="solid", color="black", weight=3];
13120[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat (Succ vvv5220) (Succ vvv5230)) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="black",shape="box"];13120 -> 13279[label="",style="solid", color="black", weight=3];
13121[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat (Succ vvv5220) Zero) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="black",shape="box"];13121 -> 13280[label="",style="solid", color="black", weight=3];
13122[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat Zero (Succ vvv5230)) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="black",shape="box"];13122 -> 13281[label="",style="solid", color="black", weight=3];
13123[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="black",shape="box"];13123 -> 13282[label="",style="solid", color="black", weight=3];
5067 -> 6055[label="",style="dashed", color="red", weight=0];
5067[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (abs (Neg (Succ vvv1990)) `rem` Pos (Succ vvv720) == fromInt (Pos Zero)) (Pos (Succ vvv720)) (abs (Neg (Succ vvv1990)) `rem` Pos (Succ vvv720)))",fontsize=16,color="magenta"];5067 -> 6056[label="",style="dashed", color="magenta", weight=3];
5067 -> 6057[label="",style="dashed", color="magenta", weight=3];
5067 -> 6058[label="",style="dashed", color="magenta", weight=3];
5067 -> 6059[label="",style="dashed", color="magenta", weight=3];
5068 -> 4091[label="",style="dashed", color="red", weight=0];
5068[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv238) (abs (Neg (Succ vvv1990))) (Neg Zero))",fontsize=16,color="magenta"];5068 -> 5308[label="",style="dashed", color="magenta", weight=3];
5068 -> 5309[label="",style="dashed", color="magenta", weight=3];
5068 -> 5310[label="",style="dashed", color="magenta", weight=3];
5069 -> 23065[label="",style="dashed", color="red", weight=0];
5069[label="primQuotInt (Neg vvv198) (gcd0Gcd' (Pos Zero) (abs (Neg (Succ vvv1990)) `rem` Pos Zero))",fontsize=16,color="magenta"];5069 -> 23066[label="",style="dashed", color="magenta", weight=3];
5069 -> 23067[label="",style="dashed", color="magenta", weight=3];
5070[label="Succ vvv1990",fontsize=16,color="green",shape="box"];5071[label="vvv198",fontsize=16,color="green",shape="box"];11271[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (absReal0 (Pos (Succ vvv464)) True) vvv467) (abs (Neg Zero)) (absReal0 (Pos (Succ vvv464)) True))",fontsize=16,color="black",shape="box"];11271 -> 11289[label="",style="solid", color="black", weight=3];
5120[label="primQuotInt (Neg vvv198) (gcd0Gcd'2 (Pos (Succ vvv720)) (abs (Neg Zero) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];5120 -> 5374[label="",style="solid", color="black", weight=3];
5121[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (primNegInt (Pos Zero)) vvv243) (abs (Neg Zero)) (primNegInt (Pos Zero)))",fontsize=16,color="black",shape="box"];5121 -> 5375[label="",style="solid", color="black", weight=3];
5122[label="primQuotInt (Neg vvv198) (gcd0Gcd'0 (abs (Neg Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];5122 -> 5376[label="",style="solid", color="black", weight=3];
5123 -> 4762[label="",style="dashed", color="red", weight=0];
5123[label="primQuotInt (Neg vvv198) (abs (Neg Zero))",fontsize=16,color="magenta"];5123 -> 5377[label="",style="dashed", color="magenta", weight=3];
5123 -> 5378[label="",style="dashed", color="magenta", weight=3];
11224[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (`negate` Pos (Succ vvv451)) vvv454) (abs (Neg vvv455)) (`negate` Pos (Succ vvv451)))",fontsize=16,color="black",shape="box"];11224 -> 11272[label="",style="solid", color="black", weight=3];
12167[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat (Succ vvv5090) (Succ vvv5100)) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="black",shape="box"];12167 -> 12361[label="",style="solid", color="black", weight=3];
12168[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat (Succ vvv5090) Zero) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="black",shape="box"];12168 -> 12362[label="",style="solid", color="black", weight=3];
12169[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat Zero (Succ vvv5100)) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="black",shape="box"];12169 -> 12363[label="",style="solid", color="black", weight=3];
12170[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="black",shape="box"];12170 -> 12364[label="",style="solid", color="black", weight=3];
5139 -> 5395[label="",style="dashed", color="red", weight=0];
5139[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (abs (Neg vvv226) `rem` Pos (Succ vvv720) == fromInt (Pos Zero)) (Pos (Succ vvv720)) (abs (Neg vvv226) `rem` Pos (Succ vvv720)))",fontsize=16,color="magenta"];5139 -> 5396[label="",style="dashed", color="magenta", weight=3];
5140[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv239) (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30372[label="vvv239/Pos vvv2390",fontsize=10,color="white",style="solid",shape="box"];5140 -> 30372[label="",style="solid", color="burlywood", weight=9];
30372 -> 5410[label="",style="solid", color="burlywood", weight=3];
30373[label="vvv239/Neg vvv2390",fontsize=10,color="white",style="solid",shape="box"];5140 -> 30373[label="",style="solid", color="burlywood", weight=9];
30373 -> 5411[label="",style="solid", color="burlywood", weight=3];
5141 -> 20968[label="",style="dashed", color="red", weight=0];
5141[label="primQuotInt (Pos vvv71) (gcd0Gcd' (Pos Zero) (abs (Neg vvv226) `rem` Pos Zero))",fontsize=16,color="magenta"];5141 -> 20971[label="",style="dashed", color="magenta", weight=3];
5141 -> 20972[label="",style="dashed", color="magenta", weight=3];
5142[label="primQuotInt (Pos vvv71) (absReal (Neg vvv226))",fontsize=16,color="black",shape="box"];5142 -> 5413[label="",style="solid", color="black", weight=3];
10403[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primNegInt (Pos (Succ vvv416))) vvv419) (abs (Pos vvv420)) (primNegInt (Pos (Succ vvv416))))",fontsize=16,color="black",shape="box"];10403 -> 10568[label="",style="solid", color="black", weight=3];
11708 -> 11633[label="",style="dashed", color="red", weight=0];
11708[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 (primEqNat vvv4860 vvv4870) (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="magenta"];11708 -> 11726[label="",style="dashed", color="magenta", weight=3];
11708 -> 11727[label="",style="dashed", color="magenta", weight=3];
11709 -> 4211[label="",style="dashed", color="red", weight=0];
11709[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 False (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="magenta"];11709 -> 11728[label="",style="dashed", color="magenta", weight=3];
11709 -> 11729[label="",style="dashed", color="magenta", weight=3];
11709 -> 11730[label="",style="dashed", color="magenta", weight=3];
11710 -> 4211[label="",style="dashed", color="red", weight=0];
11710[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 False (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="magenta"];11710 -> 11731[label="",style="dashed", color="magenta", weight=3];
11710 -> 11732[label="",style="dashed", color="magenta", weight=3];
11710 -> 11733[label="",style="dashed", color="magenta", weight=3];
11711[label="primQuotInt (Pos vvv485) (gcd0Gcd'1 True (abs (Pos vvv488)) (Pos (Succ vvv489)))",fontsize=16,color="black",shape="box"];11711 -> 11734[label="",style="solid", color="black", weight=3];
5161 -> 15[label="",style="dashed", color="red", weight=0];
5161[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5160[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (abs (Pos vvv220) `rem` Pos (Succ vvv1160) == vvv272) (Pos (Succ vvv1160)) (abs (Pos vvv220) `rem` Pos (Succ vvv1160)))",fontsize=16,color="black",shape="triangle"];5160 -> 5428[label="",style="solid", color="black", weight=3];
5162[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2340)) (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30379[label="vvv2340/Succ vvv23400",fontsize=10,color="white",style="solid",shape="box"];5162 -> 30379[label="",style="solid", color="burlywood", weight=9];
30379 -> 5429[label="",style="solid", color="burlywood", weight=3];
30380[label="vvv2340/Zero",fontsize=10,color="white",style="solid",shape="box"];5162 -> 30380[label="",style="solid", color="burlywood", weight=9];
30380 -> 5430[label="",style="solid", color="burlywood", weight=3];
5163[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2340)) (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30381[label="vvv2340/Succ vvv23400",fontsize=10,color="white",style="solid",shape="box"];5163 -> 30381[label="",style="solid", color="burlywood", weight=9];
30381 -> 5431[label="",style="solid", color="burlywood", weight=3];
30382[label="vvv2340/Zero",fontsize=10,color="white",style="solid",shape="box"];5163 -> 30382[label="",style="solid", color="burlywood", weight=9];
30382 -> 5432[label="",style="solid", color="burlywood", weight=3];
20969 -> 10196[label="",style="dashed", color="red", weight=0];
20969[label="abs (Pos vvv220) `rem` Pos Zero",fontsize=16,color="magenta"];20970[label="vvv115",fontsize=16,color="green",shape="box"];20968[label="primQuotInt (Pos vvv870) (gcd0Gcd' (Pos Zero) vvv911)",fontsize=16,color="black",shape="triangle"];20968 -> 20976[label="",style="solid", color="black", weight=3];
5165[label="primQuotInt (Pos vvv115) (absReal2 (Pos vvv220))",fontsize=16,color="black",shape="box"];5165 -> 5434[label="",style="solid", color="black", weight=3];
5170 -> 12871[label="",style="dashed", color="red", weight=0];
5170[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat vvv470 vvv23500) (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="magenta"];5170 -> 12892[label="",style="dashed", color="magenta", weight=3];
5170 -> 12893[label="",style="dashed", color="magenta", weight=3];
5170 -> 12894[label="",style="dashed", color="magenta", weight=3];
5170 -> 12895[label="",style="dashed", color="magenta", weight=3];
5170 -> 12896[label="",style="dashed", color="magenta", weight=3];
5171 -> 4953[label="",style="dashed", color="red", weight=0];
5171[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="magenta"];5172[label="primQuotInt (Neg vvv46) (gcd0Gcd'0 (abs (Neg vvv222)) (Pos (Succ vvv470)))",fontsize=16,color="black",shape="box"];5172 -> 5442[label="",style="solid", color="black", weight=3];
10565[label="primQuotInt (Neg vvv422) (gcd0Gcd'0 (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="black",shape="box"];10565 -> 10825[label="",style="solid", color="black", weight=3];
10566 -> 13813[label="",style="dashed", color="red", weight=0];
10566[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqNat vvv423 vvv42600) (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="magenta"];10566 -> 13814[label="",style="dashed", color="magenta", weight=3];
10566 -> 13815[label="",style="dashed", color="magenta", weight=3];
10566 -> 13816[label="",style="dashed", color="magenta", weight=3];
10566 -> 13817[label="",style="dashed", color="magenta", weight=3];
10566 -> 13818[label="",style="dashed", color="magenta", weight=3];
10567 -> 10400[label="",style="dashed", color="red", weight=0];
10567[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 False (abs (Neg vvv427)) (Neg (Succ vvv423)))",fontsize=16,color="magenta"];5181[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv23500))) (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="black",shape="box"];5181 -> 5451[label="",style="solid", color="black", weight=3];
5182[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="black",shape="box"];5182 -> 5452[label="",style="solid", color="black", weight=3];
5183[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv23500))) (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="black",shape="box"];5183 -> 5453[label="",style="solid", color="black", weight=3];
5184[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="black",shape="box"];5184 -> 5454[label="",style="solid", color="black", weight=3];
24355 -> 10457[label="",style="dashed", color="red", weight=0];
24355[label="abs (Neg vvv222) `rem` Neg Zero",fontsize=16,color="magenta"];24355 -> 24362[label="",style="dashed", color="magenta", weight=3];
24356[label="vvv46",fontsize=16,color="green",shape="box"];24354[label="primQuotInt (Neg vvv1068) (gcd0Gcd' (Neg Zero) vvv1094)",fontsize=16,color="black",shape="triangle"];24354 -> 24363[label="",style="solid", color="black", weight=3];
5186[label="primQuotInt (Neg vvv46) (absReal2 (Neg vvv222))",fontsize=16,color="black",shape="box"];5186 -> 5456[label="",style="solid", color="black", weight=3];
10822[label="primQuotInt (Pos vvv429) (gcd0Gcd'0 (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="black",shape="box"];10822 -> 10977[label="",style="solid", color="black", weight=3];
10823 -> 14285[label="",style="dashed", color="red", weight=0];
10823[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (primEqNat vvv430 vvv43300) (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="magenta"];10823 -> 14286[label="",style="dashed", color="magenta", weight=3];
10823 -> 14287[label="",style="dashed", color="magenta", weight=3];
10823 -> 14288[label="",style="dashed", color="magenta", weight=3];
10823 -> 14289[label="",style="dashed", color="magenta", weight=3];
10823 -> 14290[label="",style="dashed", color="magenta", weight=3];
10824 -> 10562[label="",style="dashed", color="red", weight=0];
10824[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 False (abs (Pos (Succ vvv434))) (Neg (Succ vvv430)))",fontsize=16,color="magenta"];27454[label="vvv194",fontsize=16,color="green",shape="box"];27455 -> 10443[label="",style="dashed", color="red", weight=0];
27455[label="abs (Pos (Succ vvv1950)) `rem` Neg Zero",fontsize=16,color="magenta"];27455 -> 27465[label="",style="dashed", color="magenta", weight=3];
27453[label="primQuotInt (Pos vvv1249) (gcd0Gcd' (Neg Zero) vvv1261)",fontsize=16,color="black",shape="triangle"];27453 -> 27466[label="",style="solid", color="black", weight=3];
10828[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv416)) (Pos vvv4190)) (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="black",shape="box"];10828 -> 10985[label="",style="solid", color="black", weight=3];
10829[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv416)) (Neg vvv4190)) (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="burlywood",shape="box"];30392[label="vvv4190/Succ vvv41900",fontsize=10,color="white",style="solid",shape="box"];10829 -> 30392[label="",style="solid", color="burlywood", weight=9];
30392 -> 10986[label="",style="solid", color="burlywood", weight=3];
30393[label="vvv4190/Zero",fontsize=10,color="white",style="solid",shape="box"];10829 -> 30393[label="",style="solid", color="burlywood", weight=9];
30393 -> 10987[label="",style="solid", color="burlywood", weight=3];
5255[label="Zero",fontsize=16,color="green",shape="box"];5256[label="vvv194",fontsize=16,color="green",shape="box"];5257[label="vvv241",fontsize=16,color="green",shape="box"];5258 -> 27453[label="",style="dashed", color="red", weight=0];
5258[label="primQuotInt (Pos vvv194) (gcd0Gcd' (Neg Zero) (abs (Pos Zero) `rem` Neg Zero))",fontsize=16,color="magenta"];5258 -> 27456[label="",style="dashed", color="magenta", weight=3];
5258 -> 27457[label="",style="dashed", color="magenta", weight=3];
5259[label="Zero",fontsize=16,color="green",shape="box"];5260[label="vvv194",fontsize=16,color="green",shape="box"];5265 -> 13074[label="",style="dashed", color="red", weight=0];
5265[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat vvv520 vvv23700) (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="magenta"];5265 -> 13075[label="",style="dashed", color="magenta", weight=3];
5265 -> 13076[label="",style="dashed", color="magenta", weight=3];
5265 -> 13077[label="",style="dashed", color="magenta", weight=3];
5265 -> 13078[label="",style="dashed", color="magenta", weight=3];
5265 -> 13079[label="",style="dashed", color="magenta", weight=3];
5266 -> 5040[label="",style="dashed", color="red", weight=0];
5266[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="magenta"];5267[label="primQuotInt (Neg vvv51) (gcd0Gcd'0 (abs (Pos vvv224)) (Pos (Succ vvv520)))",fontsize=16,color="black",shape="box"];5267 -> 5487[label="",style="solid", color="black", weight=3];
10974[label="primQuotInt (Neg vvv436) (gcd0Gcd'0 (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="black",shape="box"];10974 -> 11226[label="",style="solid", color="black", weight=3];
10975 -> 13959[label="",style="dashed", color="red", weight=0];
10975[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqNat vvv437 vvv44000) (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="magenta"];10975 -> 13960[label="",style="dashed", color="magenta", weight=3];
10975 -> 13961[label="",style="dashed", color="magenta", weight=3];
10975 -> 13962[label="",style="dashed", color="magenta", weight=3];
10975 -> 13963[label="",style="dashed", color="magenta", weight=3];
10975 -> 13964[label="",style="dashed", color="magenta", weight=3];
10976 -> 10819[label="",style="dashed", color="red", weight=0];
10976[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 False (abs (Pos vvv441)) (Neg (Succ vvv437)))",fontsize=16,color="magenta"];5276[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv23700))) (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="black",shape="box"];5276 -> 5496[label="",style="solid", color="black", weight=3];
5277[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="black",shape="box"];5277 -> 5497[label="",style="solid", color="black", weight=3];
5278[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv23700))) (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="black",shape="box"];5278 -> 5498[label="",style="solid", color="black", weight=3];
5279[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="black",shape="box"];5279 -> 5499[label="",style="solid", color="black", weight=3];
24357 -> 10443[label="",style="dashed", color="red", weight=0];
24357[label="abs (Pos vvv224) `rem` Neg Zero",fontsize=16,color="magenta"];24357 -> 24364[label="",style="dashed", color="magenta", weight=3];
24358[label="vvv51",fontsize=16,color="green",shape="box"];5281[label="primQuotInt (Neg vvv51) (absReal2 (Pos vvv224))",fontsize=16,color="black",shape="box"];5281 -> 5501[label="",style="solid", color="black", weight=3];
11225[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (primNegInt (Pos (Succ vvv444))) vvv447) (abs (Neg (Succ vvv448))) (primNegInt (Pos (Succ vvv444))))",fontsize=16,color="black",shape="box"];11225 -> 11273[label="",style="solid", color="black", weight=3];
13279 -> 12871[label="",style="dashed", color="red", weight=0];
13279[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 (primEqNat vvv5220 vvv5230) (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="magenta"];13279 -> 13399[label="",style="dashed", color="magenta", weight=3];
13279 -> 13400[label="",style="dashed", color="magenta", weight=3];
13280 -> 4953[label="",style="dashed", color="red", weight=0];
13280[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 False (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="magenta"];13280 -> 13401[label="",style="dashed", color="magenta", weight=3];
13280 -> 13402[label="",style="dashed", color="magenta", weight=3];
13280 -> 13403[label="",style="dashed", color="magenta", weight=3];
13281 -> 4953[label="",style="dashed", color="red", weight=0];
13281[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 False (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="magenta"];13281 -> 13404[label="",style="dashed", color="magenta", weight=3];
13281 -> 13405[label="",style="dashed", color="magenta", weight=3];
13281 -> 13406[label="",style="dashed", color="magenta", weight=3];
13282[label="primQuotInt (Neg vvv521) (gcd0Gcd'1 True (abs (Neg vvv524)) (Pos (Succ vvv525)))",fontsize=16,color="black",shape="box"];13282 -> 13407[label="",style="solid", color="black", weight=3];
6056 -> 15[label="",style="dashed", color="red", weight=0];
6056[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6057[label="Succ vvv1990",fontsize=16,color="green",shape="box"];6058[label="vvv198",fontsize=16,color="green",shape="box"];6059[label="vvv720",fontsize=16,color="green",shape="box"];6055[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (abs (Neg vvv222) `rem` Pos (Succ vvv470) == vvv302) (Pos (Succ vvv470)) (abs (Neg vvv222) `rem` Pos (Succ vvv470)))",fontsize=16,color="black",shape="triangle"];6055 -> 6082[label="",style="solid", color="black", weight=3];
5308[label="Succ vvv1990",fontsize=16,color="green",shape="box"];5309[label="vvv198",fontsize=16,color="green",shape="box"];5310[label="vvv238",fontsize=16,color="green",shape="box"];23066 -> 10198[label="",style="dashed", color="red", weight=0];
23066[label="abs (Neg (Succ vvv1990)) `rem` Pos Zero",fontsize=16,color="magenta"];23066 -> 23077[label="",style="dashed", color="magenta", weight=3];
23067[label="vvv198",fontsize=16,color="green",shape="box"];23065[label="primQuotInt (Neg vvv1013) (gcd0Gcd' (Pos Zero) vvv1054)",fontsize=16,color="black",shape="triangle"];23065 -> 23078[label="",style="solid", color="black", weight=3];
11289[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (`negate` Pos (Succ vvv464)) vvv467) (abs (Neg Zero)) (`negate` Pos (Succ vvv464)))",fontsize=16,color="black",shape="box"];11289 -> 11307[label="",style="solid", color="black", weight=3];
5374 -> 6055[label="",style="dashed", color="red", weight=0];
5374[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (abs (Neg Zero) `rem` Pos (Succ vvv720) == fromInt (Pos Zero)) (Pos (Succ vvv720)) (abs (Neg Zero) `rem` Pos (Succ vvv720)))",fontsize=16,color="magenta"];5374 -> 6064[label="",style="dashed", color="magenta", weight=3];
5374 -> 6065[label="",style="dashed", color="magenta", weight=3];
5374 -> 6066[label="",style="dashed", color="magenta", weight=3];
5374 -> 6067[label="",style="dashed", color="magenta", weight=3];
5375 -> 4091[label="",style="dashed", color="red", weight=0];
5375[label="primQuotInt (Neg vvv198) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv243) (abs (Neg Zero)) (Neg Zero))",fontsize=16,color="magenta"];5375 -> 5555[label="",style="dashed", color="magenta", weight=3];
5375 -> 5556[label="",style="dashed", color="magenta", weight=3];
5375 -> 5557[label="",style="dashed", color="magenta", weight=3];
5376 -> 23065[label="",style="dashed", color="red", weight=0];
5376[label="primQuotInt (Neg vvv198) (gcd0Gcd' (Pos Zero) (abs (Neg Zero) `rem` Pos Zero))",fontsize=16,color="magenta"];5376 -> 23068[label="",style="dashed", color="magenta", weight=3];
5376 -> 23069[label="",style="dashed", color="magenta", weight=3];
5377[label="Zero",fontsize=16,color="green",shape="box"];5378[label="vvv198",fontsize=16,color="green",shape="box"];11272[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primNegInt (Pos (Succ vvv451))) vvv454) (abs (Neg vvv455)) (primNegInt (Pos (Succ vvv451))))",fontsize=16,color="black",shape="box"];11272 -> 11290[label="",style="solid", color="black", weight=3];
12361 -> 12116[label="",style="dashed", color="red", weight=0];
12361[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 (primEqNat vvv5090 vvv5100) (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="magenta"];12361 -> 12543[label="",style="dashed", color="magenta", weight=3];
12361 -> 12544[label="",style="dashed", color="magenta", weight=3];
12362 -> 4357[label="",style="dashed", color="red", weight=0];
12362[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 False (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="magenta"];12362 -> 12545[label="",style="dashed", color="magenta", weight=3];
12362 -> 12546[label="",style="dashed", color="magenta", weight=3];
12362 -> 12547[label="",style="dashed", color="magenta", weight=3];
12363 -> 4357[label="",style="dashed", color="red", weight=0];
12363[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 False (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="magenta"];12363 -> 12548[label="",style="dashed", color="magenta", weight=3];
12363 -> 12549[label="",style="dashed", color="magenta", weight=3];
12363 -> 12550[label="",style="dashed", color="magenta", weight=3];
12364[label="primQuotInt (Pos vvv508) (gcd0Gcd'1 True (abs (Neg vvv511)) (Pos (Succ vvv512)))",fontsize=16,color="black",shape="box"];12364 -> 12551[label="",style="solid", color="black", weight=3];
5396 -> 15[label="",style="dashed", color="red", weight=0];
5396[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5395[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (abs (Neg vvv226) `rem` Pos (Succ vvv720) == vvv286) (Pos (Succ vvv720)) (abs (Neg vvv226) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="triangle"];5395 -> 5574[label="",style="solid", color="black", weight=3];
5410[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2390)) (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30412[label="vvv2390/Succ vvv23900",fontsize=10,color="white",style="solid",shape="box"];5410 -> 30412[label="",style="solid", color="burlywood", weight=9];
30412 -> 5575[label="",style="solid", color="burlywood", weight=3];
30413[label="vvv2390/Zero",fontsize=10,color="white",style="solid",shape="box"];5410 -> 30413[label="",style="solid", color="burlywood", weight=9];
30413 -> 5576[label="",style="solid", color="burlywood", weight=3];
5411[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2390)) (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];30414[label="vvv2390/Succ vvv23900",fontsize=10,color="white",style="solid",shape="box"];5411 -> 30414[label="",style="solid", color="burlywood", weight=9];
30414 -> 5577[label="",style="solid", color="burlywood", weight=3];
30415[label="vvv2390/Zero",fontsize=10,color="white",style="solid",shape="box"];5411 -> 30415[label="",style="solid", color="burlywood", weight=9];
30415 -> 5578[label="",style="solid", color="burlywood", weight=3];
20971 -> 10198[label="",style="dashed", color="red", weight=0];
20971[label="abs (Neg vvv226) `rem` Pos Zero",fontsize=16,color="magenta"];20972[label="vvv71",fontsize=16,color="green",shape="box"];5413[label="primQuotInt (Pos vvv71) (absReal2 (Neg vvv226))",fontsize=16,color="black",shape="box"];5413 -> 5580[label="",style="solid", color="black", weight=3];
11726[label="vvv4870",fontsize=16,color="green",shape="box"];11727[label="vvv4860",fontsize=16,color="green",shape="box"];11728[label="vvv488",fontsize=16,color="green",shape="box"];11729[label="vvv485",fontsize=16,color="green",shape="box"];11730[label="vvv489",fontsize=16,color="green",shape="box"];11731[label="vvv488",fontsize=16,color="green",shape="box"];11732[label="vvv485",fontsize=16,color="green",shape="box"];11733[label="vvv489",fontsize=16,color="green",shape="box"];11734 -> 4747[label="",style="dashed", color="red", weight=0];
11734[label="primQuotInt (Pos vvv485) (abs (Pos vvv488))",fontsize=16,color="magenta"];11734 -> 11753[label="",style="dashed", color="magenta", weight=3];
11734 -> 11754[label="",style="dashed", color="magenta", weight=3];
5428[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (abs (Pos vvv220) `rem` Pos (Succ vvv1160)) vvv272) (Pos (Succ vvv1160)) (abs (Pos vvv220) `rem` Pos (Succ vvv1160)))",fontsize=16,color="black",shape="box"];5428 -> 5597[label="",style="solid", color="black", weight=3];
5429[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv23400))) (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="black",shape="box"];5429 -> 5598[label="",style="solid", color="black", weight=3];
5430[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="black",shape="box"];5430 -> 5599[label="",style="solid", color="black", weight=3];
5431[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv23400))) (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="black",shape="box"];5431 -> 5600[label="",style="solid", color="black", weight=3];
5432[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="black",shape="box"];5432 -> 5601[label="",style="solid", color="black", weight=3];
10196[label="abs (Pos vvv220) `rem` Pos Zero",fontsize=16,color="black",shape="triangle"];10196 -> 10404[label="",style="solid", color="black", weight=3];
20976[label="primQuotInt (Pos vvv870) (gcd0Gcd'2 (Pos Zero) vvv911)",fontsize=16,color="black",shape="box"];20976 -> 21005[label="",style="solid", color="black", weight=3];
5434 -> 5609[label="",style="dashed", color="red", weight=0];
5434[label="primQuotInt (Pos vvv115) (absReal1 (Pos vvv220) (Pos vvv220 >= fromInt (Pos Zero)))",fontsize=16,color="magenta"];5434 -> 5610[label="",style="dashed", color="magenta", weight=3];
12892[label="vvv470",fontsize=16,color="green",shape="box"];12893[label="vvv222",fontsize=16,color="green",shape="box"];12894[label="vvv46",fontsize=16,color="green",shape="box"];12895[label="vvv23500",fontsize=16,color="green",shape="box"];12896[label="vvv470",fontsize=16,color="green",shape="box"];5442[label="primQuotInt (Neg vvv46) (gcd0Gcd' (Pos (Succ vvv470)) (abs (Neg vvv222) `rem` Pos (Succ vvv470)))",fontsize=16,color="black",shape="box"];5442 -> 5625[label="",style="solid", color="black", weight=3];
10825[label="primQuotInt (Neg vvv422) (gcd0Gcd' (Neg (Succ vvv423)) (abs (Neg vvv427) `rem` Neg (Succ vvv423)))",fontsize=16,color="black",shape="box"];10825 -> 10980[label="",style="solid", color="black", weight=3];
13814[label="vvv422",fontsize=16,color="green",shape="box"];13815[label="vvv427",fontsize=16,color="green",shape="box"];13816[label="vvv423",fontsize=16,color="green",shape="box"];13817[label="vvv423",fontsize=16,color="green",shape="box"];13818[label="vvv42600",fontsize=16,color="green",shape="box"];13813[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat vvv542 vvv543) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="burlywood",shape="triangle"];30419[label="vvv542/Succ vvv5420",fontsize=10,color="white",style="solid",shape="box"];13813 -> 30419[label="",style="solid", color="burlywood", weight=9];
30419 -> 13859[label="",style="solid", color="burlywood", weight=3];
30420[label="vvv542/Zero",fontsize=10,color="white",style="solid",shape="box"];13813 -> 30420[label="",style="solid", color="burlywood", weight=9];
30420 -> 13860[label="",style="solid", color="burlywood", weight=3];
5451[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];5451 -> 5636[label="",style="solid", color="black", weight=3];
5452[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];5452 -> 5637[label="",style="solid", color="black", weight=3];
5453 -> 5451[label="",style="dashed", color="red", weight=0];
5453[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="magenta"];5454 -> 5452[label="",style="dashed", color="red", weight=0];
5454[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="magenta"];24362[label="vvv222",fontsize=16,color="green",shape="box"];10457[label="abs (Neg vvv226) `rem` Neg Zero",fontsize=16,color="black",shape="triangle"];10457 -> 10578[label="",style="solid", color="black", weight=3];
24363[label="primQuotInt (Neg vvv1068) (gcd0Gcd'2 (Neg Zero) vvv1094)",fontsize=16,color="black",shape="box"];24363 -> 24420[label="",style="solid", color="black", weight=3];
5456 -> 5651[label="",style="dashed", color="red", weight=0];
5456[label="primQuotInt (Neg vvv46) (absReal1 (Neg vvv222) (Neg vvv222 >= fromInt (Pos Zero)))",fontsize=16,color="magenta"];5456 -> 5652[label="",style="dashed", color="magenta", weight=3];
10977[label="primQuotInt (Pos vvv429) (gcd0Gcd' (Neg (Succ vvv430)) (abs (Pos (Succ vvv434)) `rem` Neg (Succ vvv430)))",fontsize=16,color="black",shape="box"];10977 -> 11229[label="",style="solid", color="black", weight=3];
14286[label="vvv430",fontsize=16,color="green",shape="box"];14287[label="vvv43300",fontsize=16,color="green",shape="box"];14288[label="vvv430",fontsize=16,color="green",shape="box"];14289[label="vvv429",fontsize=16,color="green",shape="box"];14290[label="Succ vvv434",fontsize=16,color="green",shape="box"];14285[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat vvv570 vvv571) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="burlywood",shape="triangle"];30424[label="vvv570/Succ vvv5700",fontsize=10,color="white",style="solid",shape="box"];14285 -> 30424[label="",style="solid", color="burlywood", weight=9];
30424 -> 14346[label="",style="solid", color="burlywood", weight=3];
30425[label="vvv570/Zero",fontsize=10,color="white",style="solid",shape="box"];14285 -> 30425[label="",style="solid", color="burlywood", weight=9];
30425 -> 14347[label="",style="solid", color="burlywood", weight=3];
27465[label="Succ vvv1950",fontsize=16,color="green",shape="box"];10443[label="abs (Pos vvv220) `rem` Neg Zero",fontsize=16,color="black",shape="triangle"];10443 -> 10569[label="",style="solid", color="black", weight=3];
27466[label="primQuotInt (Pos vvv1249) (gcd0Gcd'2 (Neg Zero) vvv1261)",fontsize=16,color="black",shape="box"];27466 -> 27507[label="",style="solid", color="black", weight=3];
10985[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 False (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="black",shape="triangle"];10985 -> 11239[label="",style="solid", color="black", weight=3];
10986[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv416)) (Neg (Succ vvv41900))) (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="black",shape="box"];10986 -> 11240[label="",style="solid", color="black", weight=3];
10987[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv416)) (Neg Zero)) (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="black",shape="box"];10987 -> 11241[label="",style="solid", color="black", weight=3];
27456[label="vvv194",fontsize=16,color="green",shape="box"];27457 -> 10443[label="",style="dashed", color="red", weight=0];
27457[label="abs (Pos Zero) `rem` Neg Zero",fontsize=16,color="magenta"];27457 -> 27467[label="",style="dashed", color="magenta", weight=3];
13075[label="vvv520",fontsize=16,color="green",shape="box"];13076[label="vvv224",fontsize=16,color="green",shape="box"];13077[label="vvv520",fontsize=16,color="green",shape="box"];13078[label="vvv23700",fontsize=16,color="green",shape="box"];13079[label="vvv51",fontsize=16,color="green",shape="box"];13074[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat vvv528 vvv529) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="burlywood",shape="triangle"];30427[label="vvv528/Succ vvv5280",fontsize=10,color="white",style="solid",shape="box"];13074 -> 30427[label="",style="solid", color="burlywood", weight=9];
30427 -> 13124[label="",style="solid", color="burlywood", weight=3];
30428[label="vvv528/Zero",fontsize=10,color="white",style="solid",shape="box"];13074 -> 30428[label="",style="solid", color="burlywood", weight=9];
30428 -> 13125[label="",style="solid", color="burlywood", weight=3];
5487[label="primQuotInt (Neg vvv51) (gcd0Gcd' (Pos (Succ vvv520)) (abs (Pos vvv224) `rem` Pos (Succ vvv520)))",fontsize=16,color="black",shape="box"];5487 -> 5715[label="",style="solid", color="black", weight=3];
11226[label="primQuotInt (Neg vvv436) (gcd0Gcd' (Neg (Succ vvv437)) (abs (Pos vvv441) `rem` Neg (Succ vvv437)))",fontsize=16,color="black",shape="box"];11226 -> 11274[label="",style="solid", color="black", weight=3];
13960[label="vvv437",fontsize=16,color="green",shape="box"];13961[label="vvv436",fontsize=16,color="green",shape="box"];13962[label="vvv441",fontsize=16,color="green",shape="box"];13963[label="vvv44000",fontsize=16,color="green",shape="box"];13964[label="vvv437",fontsize=16,color="green",shape="box"];13959[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat vvv554 vvv555) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="burlywood",shape="triangle"];30429[label="vvv554/Succ vvv5540",fontsize=10,color="white",style="solid",shape="box"];13959 -> 30429[label="",style="solid", color="burlywood", weight=9];
30429 -> 14005[label="",style="solid", color="burlywood", weight=3];
30430[label="vvv554/Zero",fontsize=10,color="white",style="solid",shape="box"];13959 -> 30430[label="",style="solid", color="burlywood", weight=9];
30430 -> 14006[label="",style="solid", color="burlywood", weight=3];
5496[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];5496 -> 5726[label="",style="solid", color="black", weight=3];
5497[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];5497 -> 5727[label="",style="solid", color="black", weight=3];
5498 -> 5496[label="",style="dashed", color="red", weight=0];
5498[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="magenta"];5499 -> 5497[label="",style="dashed", color="red", weight=0];
5499[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="magenta"];24364[label="vvv224",fontsize=16,color="green",shape="box"];5501 -> 5745[label="",style="dashed", color="red", weight=0];
5501[label="primQuotInt (Neg vvv51) (absReal1 (Pos vvv224) (Pos vvv224 >= fromInt (Pos Zero)))",fontsize=16,color="magenta"];5501 -> 5746[label="",style="dashed", color="magenta", weight=3];
11273 -> 10009[label="",style="dashed", color="red", weight=0];
11273[label="primQuotInt (Neg vvv443) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv444)) vvv447) (abs (Neg (Succ vvv448))) (Neg (Succ vvv444)))",fontsize=16,color="magenta"];11273 -> 11291[label="",style="dashed", color="magenta", weight=3];
11273 -> 11292[label="",style="dashed", color="magenta", weight=3];
11273 -> 11293[label="",style="dashed", color="magenta", weight=3];
11273 -> 11294[label="",style="dashed", color="magenta", weight=3];
13399[label="vvv5230",fontsize=16,color="green",shape="box"];13400[label="vvv5220",fontsize=16,color="green",shape="box"];13401[label="vvv524",fontsize=16,color="green",shape="box"];13402[label="vvv521",fontsize=16,color="green",shape="box"];13403[label="vvv525",fontsize=16,color="green",shape="box"];13404[label="vvv524",fontsize=16,color="green",shape="box"];13405[label="vvv521",fontsize=16,color="green",shape="box"];13406[label="vvv525",fontsize=16,color="green",shape="box"];13407 -> 4762[label="",style="dashed", color="red", weight=0];
13407[label="primQuotInt (Neg vvv521) (abs (Neg vvv524))",fontsize=16,color="magenta"];13407 -> 13554[label="",style="dashed", color="magenta", weight=3];
13407 -> 13555[label="",style="dashed", color="magenta", weight=3];
6082[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (abs (Neg vvv222) `rem` Pos (Succ vvv470)) vvv302) (Pos (Succ vvv470)) (abs (Neg vvv222) `rem` Pos (Succ vvv470)))",fontsize=16,color="black",shape="box"];6082 -> 6145[label="",style="solid", color="black", weight=3];
23077[label="Succ vvv1990",fontsize=16,color="green",shape="box"];10198[label="abs (Neg vvv226) `rem` Pos Zero",fontsize=16,color="black",shape="triangle"];10198 -> 10407[label="",style="solid", color="black", weight=3];
23078[label="primQuotInt (Neg vvv1013) (gcd0Gcd'2 (Pos Zero) vvv1054)",fontsize=16,color="black",shape="box"];23078 -> 23144[label="",style="solid", color="black", weight=3];
11307[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (primNegInt (Pos (Succ vvv464))) vvv467) (abs (Neg Zero)) (primNegInt (Pos (Succ vvv464))))",fontsize=16,color="black",shape="box"];11307 -> 11326[label="",style="solid", color="black", weight=3];
6064 -> 15[label="",style="dashed", color="red", weight=0];
6064[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6065[label="Zero",fontsize=16,color="green",shape="box"];6066[label="vvv198",fontsize=16,color="green",shape="box"];6067[label="vvv720",fontsize=16,color="green",shape="box"];5555[label="Zero",fontsize=16,color="green",shape="box"];5556[label="vvv198",fontsize=16,color="green",shape="box"];5557[label="vvv243",fontsize=16,color="green",shape="box"];23068 -> 10198[label="",style="dashed", color="red", weight=0];
23068[label="abs (Neg Zero) `rem` Pos Zero",fontsize=16,color="magenta"];23068 -> 23079[label="",style="dashed", color="magenta", weight=3];
23069[label="vvv198",fontsize=16,color="green",shape="box"];11290[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv451)) vvv454) (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="burlywood",shape="box"];30438[label="vvv454/Pos vvv4540",fontsize=10,color="white",style="solid",shape="box"];11290 -> 30438[label="",style="solid", color="burlywood", weight=9];
30438 -> 11308[label="",style="solid", color="burlywood", weight=3];
30439[label="vvv454/Neg vvv4540",fontsize=10,color="white",style="solid",shape="box"];11290 -> 30439[label="",style="solid", color="burlywood", weight=9];
30439 -> 11309[label="",style="solid", color="burlywood", weight=3];
12543[label="vvv5100",fontsize=16,color="green",shape="box"];12544[label="vvv5090",fontsize=16,color="green",shape="box"];12545[label="vvv511",fontsize=16,color="green",shape="box"];12546[label="vvv512",fontsize=16,color="green",shape="box"];12547[label="vvv508",fontsize=16,color="green",shape="box"];12548[label="vvv511",fontsize=16,color="green",shape="box"];12549[label="vvv512",fontsize=16,color="green",shape="box"];12550[label="vvv508",fontsize=16,color="green",shape="box"];12551 -> 4927[label="",style="dashed", color="red", weight=0];
12551[label="primQuotInt (Pos vvv508) (abs (Neg vvv511))",fontsize=16,color="magenta"];12551 -> 12739[label="",style="dashed", color="magenta", weight=3];
12551 -> 12740[label="",style="dashed", color="magenta", weight=3];
5574[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (abs (Neg vvv226) `rem` Pos (Succ vvv720)) vvv286) (Pos (Succ vvv720)) (abs (Neg vvv226) `rem` Pos (Succ vvv720)))",fontsize=16,color="black",shape="box"];5574 -> 5817[label="",style="solid", color="black", weight=3];
5575[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv23900))) (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="black",shape="box"];5575 -> 5818[label="",style="solid", color="black", weight=3];
5576[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="black",shape="box"];5576 -> 5819[label="",style="solid", color="black", weight=3];
5577[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv23900))) (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="black",shape="box"];5577 -> 5820[label="",style="solid", color="black", weight=3];
5578[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="black",shape="box"];5578 -> 5821[label="",style="solid", color="black", weight=3];
5580 -> 5834[label="",style="dashed", color="red", weight=0];
5580[label="primQuotInt (Pos vvv71) (absReal1 (Neg vvv226) (Neg vvv226 >= fromInt (Pos Zero)))",fontsize=16,color="magenta"];5580 -> 5835[label="",style="dashed", color="magenta", weight=3];
11753[label="vvv488",fontsize=16,color="green",shape="box"];11754[label="vvv485",fontsize=16,color="green",shape="box"];5597[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Pos vvv220)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (abs (Pos vvv220)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];5597 -> 5864[label="",style="solid", color="black", weight=3];
5598[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];5598 -> 5865[label="",style="solid", color="black", weight=3];
5599[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];5599 -> 5866[label="",style="solid", color="black", weight=3];
5600 -> 5598[label="",style="dashed", color="red", weight=0];
5600[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="magenta"];5601 -> 5599[label="",style="dashed", color="red", weight=0];
5601[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="magenta"];10404[label="primRemInt (abs (Pos vvv220)) (Pos Zero)",fontsize=16,color="black",shape="box"];10404 -> 10572[label="",style="solid", color="black", weight=3];
21005 -> 21026[label="",style="dashed", color="red", weight=0];
21005[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (vvv911 == fromInt (Pos Zero)) (Pos Zero) vvv911)",fontsize=16,color="magenta"];21005 -> 21027[label="",style="dashed", color="magenta", weight=3];
5610 -> 15[label="",style="dashed", color="red", weight=0];
5610[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5609[label="primQuotInt (Pos vvv115) (absReal1 (Pos vvv220) (Pos vvv220 >= vvv291))",fontsize=16,color="black",shape="triangle"];5609 -> 5868[label="",style="solid", color="black", weight=3];
5625[label="primQuotInt (Neg vvv46) (gcd0Gcd'2 (Pos (Succ vvv470)) (abs (Neg vvv222) `rem` Pos (Succ vvv470)))",fontsize=16,color="black",shape="box"];5625 -> 5877[label="",style="solid", color="black", weight=3];
10980[label="primQuotInt (Neg vvv422) (gcd0Gcd'2 (Neg (Succ vvv423)) (abs (Neg vvv427) `rem` Neg (Succ vvv423)))",fontsize=16,color="black",shape="box"];10980 -> 11234[label="",style="solid", color="black", weight=3];
13859[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat (Succ vvv5420) vvv543) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="burlywood",shape="box"];30446[label="vvv543/Succ vvv5430",fontsize=10,color="white",style="solid",shape="box"];13859 -> 30446[label="",style="solid", color="burlywood", weight=9];
30446 -> 13929[label="",style="solid", color="burlywood", weight=3];
30447[label="vvv543/Zero",fontsize=10,color="white",style="solid",shape="box"];13859 -> 30447[label="",style="solid", color="burlywood", weight=9];
30447 -> 13930[label="",style="solid", color="burlywood", weight=3];
13860[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat Zero vvv543) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="burlywood",shape="box"];30448[label="vvv543/Succ vvv5430",fontsize=10,color="white",style="solid",shape="box"];13860 -> 30448[label="",style="solid", color="burlywood", weight=9];
30448 -> 13931[label="",style="solid", color="burlywood", weight=3];
30449[label="vvv543/Zero",fontsize=10,color="white",style="solid",shape="box"];13860 -> 30449[label="",style="solid", color="burlywood", weight=9];
30449 -> 13932[label="",style="solid", color="burlywood", weight=3];
5636[label="primQuotInt (Neg vvv46) (gcd0Gcd'0 (abs (Neg vvv222)) (Pos Zero))",fontsize=16,color="black",shape="box"];5636 -> 5889[label="",style="solid", color="black", weight=3];
5637 -> 4762[label="",style="dashed", color="red", weight=0];
5637[label="primQuotInt (Neg vvv46) (abs (Neg vvv222))",fontsize=16,color="magenta"];10578[label="primRemInt (abs (Neg vvv226)) (Neg Zero)",fontsize=16,color="black",shape="box"];10578 -> 10851[label="",style="solid", color="black", weight=3];
24420 -> 24473[label="",style="dashed", color="red", weight=0];
24420[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (vvv1094 == fromInt (Pos Zero)) (Neg Zero) vvv1094)",fontsize=16,color="magenta"];24420 -> 24474[label="",style="dashed", color="magenta", weight=3];
5652 -> 15[label="",style="dashed", color="red", weight=0];
5652[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5651[label="primQuotInt (Neg vvv46) (absReal1 (Neg vvv222) (Neg vvv222 >= vvv293))",fontsize=16,color="black",shape="triangle"];5651 -> 5891[label="",style="solid", color="black", weight=3];
11229[label="primQuotInt (Pos vvv429) (gcd0Gcd'2 (Neg (Succ vvv430)) (abs (Pos (Succ vvv434)) `rem` Neg (Succ vvv430)))",fontsize=16,color="black",shape="box"];11229 -> 11279[label="",style="solid", color="black", weight=3];
14346[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat (Succ vvv5700) vvv571) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="burlywood",shape="box"];30453[label="vvv571/Succ vvv5710",fontsize=10,color="white",style="solid",shape="box"];14346 -> 30453[label="",style="solid", color="burlywood", weight=9];
30453 -> 14407[label="",style="solid", color="burlywood", weight=3];
30454[label="vvv571/Zero",fontsize=10,color="white",style="solid",shape="box"];14346 -> 30454[label="",style="solid", color="burlywood", weight=9];
30454 -> 14408[label="",style="solid", color="burlywood", weight=3];
14347[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat Zero vvv571) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="burlywood",shape="box"];30455[label="vvv571/Succ vvv5710",fontsize=10,color="white",style="solid",shape="box"];14347 -> 30455[label="",style="solid", color="burlywood", weight=9];
30455 -> 14409[label="",style="solid", color="burlywood", weight=3];
30456[label="vvv571/Zero",fontsize=10,color="white",style="solid",shape="box"];14347 -> 30456[label="",style="solid", color="burlywood", weight=9];
30456 -> 14410[label="",style="solid", color="burlywood", weight=3];
10569[label="primRemInt (abs (Pos vvv220)) (Neg Zero)",fontsize=16,color="black",shape="box"];10569 -> 10836[label="",style="solid", color="black", weight=3];
27507 -> 27551[label="",style="dashed", color="red", weight=0];
27507[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (vvv1261 == fromInt (Pos Zero)) (Neg Zero) vvv1261)",fontsize=16,color="magenta"];27507 -> 27552[label="",style="dashed", color="magenta", weight=3];
11239[label="primQuotInt (Pos vvv415) (gcd0Gcd'0 (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="black",shape="box"];11239 -> 11284[label="",style="solid", color="black", weight=3];
11240 -> 14285[label="",style="dashed", color="red", weight=0];
11240[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqNat vvv416 vvv41900) (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="magenta"];11240 -> 14296[label="",style="dashed", color="magenta", weight=3];
11240 -> 14297[label="",style="dashed", color="magenta", weight=3];
11240 -> 14298[label="",style="dashed", color="magenta", weight=3];
11240 -> 14299[label="",style="dashed", color="magenta", weight=3];
11240 -> 14300[label="",style="dashed", color="magenta", weight=3];
11241 -> 10985[label="",style="dashed", color="red", weight=0];
11241[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 False (abs (Pos vvv420)) (Neg (Succ vvv416)))",fontsize=16,color="magenta"];27467[label="Zero",fontsize=16,color="green",shape="box"];13124[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat (Succ vvv5280) vvv529) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="burlywood",shape="box"];30460[label="vvv529/Succ vvv5290",fontsize=10,color="white",style="solid",shape="box"];13124 -> 30460[label="",style="solid", color="burlywood", weight=9];
30460 -> 13283[label="",style="solid", color="burlywood", weight=3];
30461[label="vvv529/Zero",fontsize=10,color="white",style="solid",shape="box"];13124 -> 30461[label="",style="solid", color="burlywood", weight=9];
30461 -> 13284[label="",style="solid", color="burlywood", weight=3];
13125[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat Zero vvv529) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="burlywood",shape="box"];30462[label="vvv529/Succ vvv5290",fontsize=10,color="white",style="solid",shape="box"];13125 -> 30462[label="",style="solid", color="burlywood", weight=9];
30462 -> 13285[label="",style="solid", color="burlywood", weight=3];
30463[label="vvv529/Zero",fontsize=10,color="white",style="solid",shape="box"];13125 -> 30463[label="",style="solid", color="burlywood", weight=9];
30463 -> 13286[label="",style="solid", color="burlywood", weight=3];
5715[label="primQuotInt (Neg vvv51) (gcd0Gcd'2 (Pos (Succ vvv520)) (abs (Pos vvv224) `rem` Pos (Succ vvv520)))",fontsize=16,color="black",shape="box"];5715 -> 5937[label="",style="solid", color="black", weight=3];
11274[label="primQuotInt (Neg vvv436) (gcd0Gcd'2 (Neg (Succ vvv437)) (abs (Pos vvv441) `rem` Neg (Succ vvv437)))",fontsize=16,color="black",shape="box"];11274 -> 11295[label="",style="solid", color="black", weight=3];
14005[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat (Succ vvv5540) vvv555) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="burlywood",shape="box"];30464[label="vvv555/Succ vvv5550",fontsize=10,color="white",style="solid",shape="box"];14005 -> 30464[label="",style="solid", color="burlywood", weight=9];
30464 -> 14072[label="",style="solid", color="burlywood", weight=3];
30465[label="vvv555/Zero",fontsize=10,color="white",style="solid",shape="box"];14005 -> 30465[label="",style="solid", color="burlywood", weight=9];
30465 -> 14073[label="",style="solid", color="burlywood", weight=3];
14006[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat Zero vvv555) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="burlywood",shape="box"];30466[label="vvv555/Succ vvv5550",fontsize=10,color="white",style="solid",shape="box"];14006 -> 30466[label="",style="solid", color="burlywood", weight=9];
30466 -> 14074[label="",style="solid", color="burlywood", weight=3];
30467[label="vvv555/Zero",fontsize=10,color="white",style="solid",shape="box"];14006 -> 30467[label="",style="solid", color="burlywood", weight=9];
30467 -> 14075[label="",style="solid", color="burlywood", weight=3];
5726[label="primQuotInt (Neg vvv51) (gcd0Gcd'0 (abs (Pos vvv224)) (Pos Zero))",fontsize=16,color="black",shape="box"];5726 -> 5949[label="",style="solid", color="black", weight=3];
5727 -> 4841[label="",style="dashed", color="red", weight=0];
5727[label="primQuotInt (Neg vvv51) (abs (Pos vvv224))",fontsize=16,color="magenta"];5746 -> 15[label="",style="dashed", color="red", weight=0];
5746[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5745[label="primQuotInt (Neg vvv51) (absReal1 (Pos vvv224) (Pos vvv224 >= vvv296))",fontsize=16,color="black",shape="triangle"];5745 -> 5951[label="",style="solid", color="black", weight=3];
11291[label="vvv447",fontsize=16,color="green",shape="box"];11292[label="vvv443",fontsize=16,color="green",shape="box"];11293[label="Succ vvv448",fontsize=16,color="green",shape="box"];11294[label="vvv444",fontsize=16,color="green",shape="box"];13554[label="vvv524",fontsize=16,color="green",shape="box"];13555[label="vvv521",fontsize=16,color="green",shape="box"];6145[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Neg vvv222)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (abs (Neg vvv222)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];6145 -> 6272[label="",style="solid", color="black", weight=3];
10407[label="primRemInt (abs (Neg vvv226)) (Pos Zero)",fontsize=16,color="black",shape="box"];10407 -> 10577[label="",style="solid", color="black", weight=3];
23144 -> 23219[label="",style="dashed", color="red", weight=0];
23144[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (vvv1054 == fromInt (Pos Zero)) (Pos Zero) vvv1054)",fontsize=16,color="magenta"];23144 -> 23220[label="",style="dashed", color="magenta", weight=3];
11326 -> 10009[label="",style="dashed", color="red", weight=0];
11326[label="primQuotInt (Neg vvv463) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv464)) vvv467) (abs (Neg Zero)) (Neg (Succ vvv464)))",fontsize=16,color="magenta"];11326 -> 11389[label="",style="dashed", color="magenta", weight=3];
11326 -> 11390[label="",style="dashed", color="magenta", weight=3];
11326 -> 11391[label="",style="dashed", color="magenta", weight=3];
11326 -> 11392[label="",style="dashed", color="magenta", weight=3];
23079[label="Zero",fontsize=16,color="green",shape="box"];11308[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv451)) (Pos vvv4540)) (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="black",shape="box"];11308 -> 11327[label="",style="solid", color="black", weight=3];
11309[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv451)) (Neg vvv4540)) (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="burlywood",shape="box"];30472[label="vvv4540/Succ vvv45400",fontsize=10,color="white",style="solid",shape="box"];11309 -> 30472[label="",style="solid", color="burlywood", weight=9];
30472 -> 11328[label="",style="solid", color="burlywood", weight=3];
30473[label="vvv4540/Zero",fontsize=10,color="white",style="solid",shape="box"];11309 -> 30473[label="",style="solid", color="burlywood", weight=9];
30473 -> 11329[label="",style="solid", color="burlywood", weight=3];
12739[label="vvv511",fontsize=16,color="green",shape="box"];12740[label="vvv508",fontsize=16,color="green",shape="box"];5817[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Neg vvv226)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (abs (Neg vvv226)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];5817 -> 6019[label="",style="solid", color="black", weight=3];
5818[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 False (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];5818 -> 6020[label="",style="solid", color="black", weight=3];
5819[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 True (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];5819 -> 6021[label="",style="solid", color="black", weight=3];
5820 -> 5818[label="",style="dashed", color="red", weight=0];
5820[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 False (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="magenta"];5821 -> 5819[label="",style="dashed", color="red", weight=0];
5821[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 True (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="magenta"];5835 -> 15[label="",style="dashed", color="red", weight=0];
5835[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];5834[label="primQuotInt (Pos vvv71) (absReal1 (Neg vvv226) (Neg vvv226 >= vvv299))",fontsize=16,color="black",shape="triangle"];5834 -> 6023[label="",style="solid", color="black", weight=3];
5864[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Pos vvv220)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal (Pos vvv220)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];5864 -> 6041[label="",style="solid", color="black", weight=3];
5865[label="primQuotInt (Pos vvv115) (gcd0Gcd'0 (abs (Pos vvv220)) (Neg Zero))",fontsize=16,color="black",shape="box"];5865 -> 6042[label="",style="solid", color="black", weight=3];
5866 -> 4747[label="",style="dashed", color="red", weight=0];
5866[label="primQuotInt (Pos vvv115) (abs (Pos vvv220))",fontsize=16,color="magenta"];10572[label="primRemInt (absReal (Pos vvv220)) (Pos Zero)",fontsize=16,color="black",shape="box"];10572 -> 10841[label="",style="solid", color="black", weight=3];
21027 -> 15[label="",style="dashed", color="red", weight=0];
21027[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];21026[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (vvv911 == vvv922) (Pos Zero) vvv911)",fontsize=16,color="black",shape="triangle"];21026 -> 21028[label="",style="solid", color="black", weight=3];
5868[label="primQuotInt (Pos vvv115) (absReal1 (Pos vvv220) (compare (Pos vvv220) vvv291 /= LT))",fontsize=16,color="black",shape="box"];5868 -> 6044[label="",style="solid", color="black", weight=3];
5877 -> 6055[label="",style="dashed", color="red", weight=0];
5877[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (abs (Neg vvv222) `rem` Pos (Succ vvv470) == fromInt (Pos Zero)) (Pos (Succ vvv470)) (abs (Neg vvv222) `rem` Pos (Succ vvv470)))",fontsize=16,color="magenta"];5877 -> 6072[label="",style="dashed", color="magenta", weight=3];
11234 -> 11287[label="",style="dashed", color="red", weight=0];
11234[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (abs (Neg vvv427) `rem` Neg (Succ vvv423) == fromInt (Pos Zero)) (Neg (Succ vvv423)) (abs (Neg vvv427) `rem` Neg (Succ vvv423)))",fontsize=16,color="magenta"];11234 -> 11288[label="",style="dashed", color="magenta", weight=3];
13929[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat (Succ vvv5420) (Succ vvv5430)) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="black",shape="box"];13929 -> 14011[label="",style="solid", color="black", weight=3];
13930[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat (Succ vvv5420) Zero) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="black",shape="box"];13930 -> 14012[label="",style="solid", color="black", weight=3];
13931[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat Zero (Succ vvv5430)) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="black",shape="box"];13931 -> 14013[label="",style="solid", color="black", weight=3];
13932[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="black",shape="box"];13932 -> 14014[label="",style="solid", color="black", weight=3];
5889 -> 23065[label="",style="dashed", color="red", weight=0];
5889[label="primQuotInt (Neg vvv46) (gcd0Gcd' (Pos Zero) (abs (Neg vvv222) `rem` Pos Zero))",fontsize=16,color="magenta"];5889 -> 23070[label="",style="dashed", color="magenta", weight=3];
5889 -> 23071[label="",style="dashed", color="magenta", weight=3];
10851[label="primRemInt (absReal (Neg vvv226)) (Neg Zero)",fontsize=16,color="black",shape="box"];10851 -> 11017[label="",style="solid", color="black", weight=3];
24474 -> 15[label="",style="dashed", color="red", weight=0];
24474[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];24473[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (vvv1094 == vvv1097) (Neg Zero) vvv1094)",fontsize=16,color="black",shape="triangle"];24473 -> 24475[label="",style="solid", color="black", weight=3];
5891[label="primQuotInt (Neg vvv46) (absReal1 (Neg vvv222) (compare (Neg vvv222) vvv293 /= LT))",fontsize=16,color="black",shape="box"];5891 -> 6095[label="",style="solid", color="black", weight=3];
11279 -> 11412[label="",style="dashed", color="red", weight=0];
11279[label="primQuotInt (Pos vvv429) (gcd0Gcd'1 (abs (Pos (Succ vvv434)) `rem` Neg (Succ vvv430) == fromInt (Pos Zero)) (Neg (Succ vvv430)) (abs (Pos (Succ vvv434)) `rem` Neg (Succ vvv430)))",fontsize=16,color="magenta"];11279 -> 11413[label="",style="dashed", color="magenta", weight=3];
11279 -> 11414[label="",style="dashed", color="magenta", weight=3];
11279 -> 11415[label="",style="dashed", color="magenta", weight=3];
11279 -> 11416[label="",style="dashed", color="magenta", weight=3];
14407[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat (Succ vvv5700) (Succ vvv5710)) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="black",shape="box"];14407 -> 14476[label="",style="solid", color="black", weight=3];
14408[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat (Succ vvv5700) Zero) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="black",shape="box"];14408 -> 14477[label="",style="solid", color="black", weight=3];
14409[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat Zero (Succ vvv5710)) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="black",shape="box"];14409 -> 14478[label="",style="solid", color="black", weight=3];
14410[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="black",shape="box"];14410 -> 14479[label="",style="solid", color="black", weight=3];
10836[label="primRemInt (absReal (Pos vvv220)) (Neg Zero)",fontsize=16,color="black",shape="box"];10836 -> 10992[label="",style="solid", color="black", weight=3];
27552 -> 15[label="",style="dashed", color="red", weight=0];
27552[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];27551[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (vvv1261 == vvv1262) (Neg Zero) vvv1261)",fontsize=16,color="black",shape="triangle"];27551 -> 27553[label="",style="solid", color="black", weight=3];
11284[label="primQuotInt (Pos vvv415) (gcd0Gcd' (Neg (Succ vvv416)) (abs (Pos vvv420) `rem` Neg (Succ vvv416)))",fontsize=16,color="black",shape="box"];11284 -> 11319[label="",style="solid", color="black", weight=3];
14296[label="vvv416",fontsize=16,color="green",shape="box"];14297[label="vvv41900",fontsize=16,color="green",shape="box"];14298[label="vvv416",fontsize=16,color="green",shape="box"];14299[label="vvv415",fontsize=16,color="green",shape="box"];14300[label="vvv420",fontsize=16,color="green",shape="box"];13283[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat (Succ vvv5280) (Succ vvv5290)) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="black",shape="box"];13283 -> 13408[label="",style="solid", color="black", weight=3];
13284[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat (Succ vvv5280) Zero) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="black",shape="box"];13284 -> 13409[label="",style="solid", color="black", weight=3];
13285[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat Zero (Succ vvv5290)) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="black",shape="box"];13285 -> 13410[label="",style="solid", color="black", weight=3];
13286[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="black",shape="box"];13286 -> 13411[label="",style="solid", color="black", weight=3];
5937 -> 6134[label="",style="dashed", color="red", weight=0];
5937[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (abs (Pos vvv224) `rem` Pos (Succ vvv520) == fromInt (Pos Zero)) (Pos (Succ vvv520)) (abs (Pos vvv224) `rem` Pos (Succ vvv520)))",fontsize=16,color="magenta"];5937 -> 6135[label="",style="dashed", color="magenta", weight=3];
11295 -> 11324[label="",style="dashed", color="red", weight=0];
11295[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (abs (Pos vvv441) `rem` Neg (Succ vvv437) == fromInt (Pos Zero)) (Neg (Succ vvv437)) (abs (Pos vvv441) `rem` Neg (Succ vvv437)))",fontsize=16,color="magenta"];11295 -> 11325[label="",style="dashed", color="magenta", weight=3];
14072[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat (Succ vvv5540) (Succ vvv5550)) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="black",shape="box"];14072 -> 14121[label="",style="solid", color="black", weight=3];
14073[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat (Succ vvv5540) Zero) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="black",shape="box"];14073 -> 14122[label="",style="solid", color="black", weight=3];
14074[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat Zero (Succ vvv5550)) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="black",shape="box"];14074 -> 14123[label="",style="solid", color="black", weight=3];
14075[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="black",shape="box"];14075 -> 14124[label="",style="solid", color="black", weight=3];
5949 -> 23065[label="",style="dashed", color="red", weight=0];
5949[label="primQuotInt (Neg vvv51) (gcd0Gcd' (Pos Zero) (abs (Pos vvv224) `rem` Pos Zero))",fontsize=16,color="magenta"];5949 -> 23072[label="",style="dashed", color="magenta", weight=3];
5949 -> 23073[label="",style="dashed", color="magenta", weight=3];
5951[label="primQuotInt (Neg vvv51) (absReal1 (Pos vvv224) (compare (Pos vvv224) vvv296 /= LT))",fontsize=16,color="black",shape="box"];5951 -> 6158[label="",style="solid", color="black", weight=3];
6272[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Neg vvv222)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal (Neg vvv222)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];6272 -> 6301[label="",style="solid", color="black", weight=3];
10577[label="primRemInt (absReal (Neg vvv226)) (Pos Zero)",fontsize=16,color="black",shape="box"];10577 -> 10850[label="",style="solid", color="black", weight=3];
23220 -> 15[label="",style="dashed", color="red", weight=0];
23220[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];23219[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (vvv1054 == vvv1058) (Pos Zero) vvv1054)",fontsize=16,color="black",shape="triangle"];23219 -> 23221[label="",style="solid", color="black", weight=3];
11389[label="vvv467",fontsize=16,color="green",shape="box"];11390[label="vvv463",fontsize=16,color="green",shape="box"];11391[label="Zero",fontsize=16,color="green",shape="box"];11392[label="vvv464",fontsize=16,color="green",shape="box"];11327[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 False (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="black",shape="triangle"];11327 -> 11393[label="",style="solid", color="black", weight=3];
11328[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv451)) (Neg (Succ vvv45400))) (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="black",shape="box"];11328 -> 11394[label="",style="solid", color="black", weight=3];
11329[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv451)) (Neg Zero)) (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="black",shape="box"];11329 -> 11395[label="",style="solid", color="black", weight=3];
6019[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Neg vvv226)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal (Neg vvv226)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];6019 -> 6215[label="",style="solid", color="black", weight=3];
6020[label="primQuotInt (Pos vvv71) (gcd0Gcd'0 (abs (Neg vvv226)) (Neg Zero))",fontsize=16,color="black",shape="box"];6020 -> 6216[label="",style="solid", color="black", weight=3];
6021 -> 4927[label="",style="dashed", color="red", weight=0];
6021[label="primQuotInt (Pos vvv71) (abs (Neg vvv226))",fontsize=16,color="magenta"];6023[label="primQuotInt (Pos vvv71) (absReal1 (Neg vvv226) (compare (Neg vvv226) vvv299 /= LT))",fontsize=16,color="black",shape="box"];6023 -> 6218[label="",style="solid", color="black", weight=3];
6041[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Pos vvv220)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal2 (Pos vvv220)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];6041 -> 6238[label="",style="solid", color="black", weight=3];
6042 -> 27453[label="",style="dashed", color="red", weight=0];
6042[label="primQuotInt (Pos vvv115) (gcd0Gcd' (Neg Zero) (abs (Pos vvv220) `rem` Neg Zero))",fontsize=16,color="magenta"];6042 -> 27458[label="",style="dashed", color="magenta", weight=3];
6042 -> 27459[label="",style="dashed", color="magenta", weight=3];
10841[label="primRemInt (absReal2 (Pos vvv220)) (Pos Zero)",fontsize=16,color="black",shape="box"];10841 -> 11001[label="",style="solid", color="black", weight=3];
21028 -> 10195[label="",style="dashed", color="red", weight=0];
21028[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt vvv911 vvv922) (Pos Zero) vvv911)",fontsize=16,color="magenta"];21028 -> 21068[label="",style="dashed", color="magenta", weight=3];
21028 -> 21069[label="",style="dashed", color="magenta", weight=3];
21028 -> 21070[label="",style="dashed", color="magenta", weight=3];
21028 -> 21071[label="",style="dashed", color="magenta", weight=3];
6044[label="primQuotInt (Pos vvv115) (absReal1 (Pos vvv220) (not (compare (Pos vvv220) vvv291 == LT)))",fontsize=16,color="black",shape="box"];6044 -> 6241[label="",style="solid", color="black", weight=3];
6072 -> 15[label="",style="dashed", color="red", weight=0];
6072[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11288 -> 15[label="",style="dashed", color="red", weight=0];
11288[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11287[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (abs (Neg vvv427) `rem` Neg (Succ vvv423) == vvv477) (Neg (Succ vvv423)) (abs (Neg vvv427) `rem` Neg (Succ vvv423)))",fontsize=16,color="black",shape="triangle"];11287 -> 11335[label="",style="solid", color="black", weight=3];
14011 -> 13813[label="",style="dashed", color="red", weight=0];
14011[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 (primEqNat vvv5420 vvv5430) (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="magenta"];14011 -> 14080[label="",style="dashed", color="magenta", weight=3];
14011 -> 14081[label="",style="dashed", color="magenta", weight=3];
14012 -> 10400[label="",style="dashed", color="red", weight=0];
14012[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 False (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="magenta"];14012 -> 14082[label="",style="dashed", color="magenta", weight=3];
14012 -> 14083[label="",style="dashed", color="magenta", weight=3];
14012 -> 14084[label="",style="dashed", color="magenta", weight=3];
14013 -> 10400[label="",style="dashed", color="red", weight=0];
14013[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 False (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="magenta"];14013 -> 14085[label="",style="dashed", color="magenta", weight=3];
14013 -> 14086[label="",style="dashed", color="magenta", weight=3];
14013 -> 14087[label="",style="dashed", color="magenta", weight=3];
14014[label="primQuotInt (Neg vvv541) (gcd0Gcd'1 True (abs (Neg vvv544)) (Neg (Succ vvv545)))",fontsize=16,color="black",shape="box"];14014 -> 14088[label="",style="solid", color="black", weight=3];
23070 -> 10198[label="",style="dashed", color="red", weight=0];
23070[label="abs (Neg vvv222) `rem` Pos Zero",fontsize=16,color="magenta"];23070 -> 23080[label="",style="dashed", color="magenta", weight=3];
23071[label="vvv46",fontsize=16,color="green",shape="box"];11017[label="primRemInt (absReal2 (Neg vvv226)) (Neg Zero)",fontsize=16,color="black",shape="box"];11017 -> 11386[label="",style="solid", color="black", weight=3];
24475 -> 10600[label="",style="dashed", color="red", weight=0];
24475[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt vvv1094 vvv1097) (Neg Zero) vvv1094)",fontsize=16,color="magenta"];24475 -> 24517[label="",style="dashed", color="magenta", weight=3];
24475 -> 24518[label="",style="dashed", color="magenta", weight=3];
24475 -> 24519[label="",style="dashed", color="magenta", weight=3];
24475 -> 24520[label="",style="dashed", color="magenta", weight=3];
6095[label="primQuotInt (Neg vvv46) (absReal1 (Neg vvv222) (not (compare (Neg vvv222) vvv293 == LT)))",fontsize=16,color="black",shape="box"];6095 -> 6275[label="",style="solid", color="black", weight=3];
11413 -> 15[label="",style="dashed", color="red", weight=0];
11413[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11414[label="vvv430",fontsize=16,color="green",shape="box"];11415[label="Succ vvv434",fontsize=16,color="green",shape="box"];11416[label="vvv429",fontsize=16,color="green",shape="box"];11412[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (abs (Pos vvv420) `rem` Neg (Succ vvv416) == vvv481) (Neg (Succ vvv416)) (abs (Pos vvv420) `rem` Neg (Succ vvv416)))",fontsize=16,color="black",shape="triangle"];11412 -> 11422[label="",style="solid", color="black", weight=3];
14476 -> 14285[label="",style="dashed", color="red", weight=0];
14476[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 (primEqNat vvv5700 vvv5710) (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="magenta"];14476 -> 14611[label="",style="dashed", color="magenta", weight=3];
14476 -> 14612[label="",style="dashed", color="magenta", weight=3];
14477 -> 10985[label="",style="dashed", color="red", weight=0];
14477[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 False (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="magenta"];14477 -> 14613[label="",style="dashed", color="magenta", weight=3];
14477 -> 14614[label="",style="dashed", color="magenta", weight=3];
14477 -> 14615[label="",style="dashed", color="magenta", weight=3];
14478 -> 10985[label="",style="dashed", color="red", weight=0];
14478[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 False (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="magenta"];14478 -> 14616[label="",style="dashed", color="magenta", weight=3];
14478 -> 14617[label="",style="dashed", color="magenta", weight=3];
14478 -> 14618[label="",style="dashed", color="magenta", weight=3];
14479[label="primQuotInt (Pos vvv569) (gcd0Gcd'1 True (abs (Pos vvv572)) (Neg (Succ vvv573)))",fontsize=16,color="black",shape="box"];14479 -> 14619[label="",style="solid", color="black", weight=3];
10992[label="primRemInt (absReal2 (Pos vvv220)) (Neg Zero)",fontsize=16,color="black",shape="box"];10992 -> 11254[label="",style="solid", color="black", weight=3];
27553 -> 10442[label="",style="dashed", color="red", weight=0];
27553[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt vvv1261 vvv1262) (Neg Zero) vvv1261)",fontsize=16,color="magenta"];27553 -> 27605[label="",style="dashed", color="magenta", weight=3];
27553 -> 27606[label="",style="dashed", color="magenta", weight=3];
27553 -> 27607[label="",style="dashed", color="magenta", weight=3];
27553 -> 27608[label="",style="dashed", color="magenta", weight=3];
11319[label="primQuotInt (Pos vvv415) (gcd0Gcd'2 (Neg (Succ vvv416)) (abs (Pos vvv420) `rem` Neg (Succ vvv416)))",fontsize=16,color="black",shape="box"];11319 -> 11349[label="",style="solid", color="black", weight=3];
13408 -> 13074[label="",style="dashed", color="red", weight=0];
13408[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 (primEqNat vvv5280 vvv5290) (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="magenta"];13408 -> 13556[label="",style="dashed", color="magenta", weight=3];
13408 -> 13557[label="",style="dashed", color="magenta", weight=3];
13409 -> 5040[label="",style="dashed", color="red", weight=0];
13409[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 False (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="magenta"];13409 -> 13558[label="",style="dashed", color="magenta", weight=3];
13409 -> 13559[label="",style="dashed", color="magenta", weight=3];
13409 -> 13560[label="",style="dashed", color="magenta", weight=3];
13410 -> 5040[label="",style="dashed", color="red", weight=0];
13410[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 False (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="magenta"];13410 -> 13561[label="",style="dashed", color="magenta", weight=3];
13410 -> 13562[label="",style="dashed", color="magenta", weight=3];
13410 -> 13563[label="",style="dashed", color="magenta", weight=3];
13411[label="primQuotInt (Neg vvv527) (gcd0Gcd'1 True (abs (Pos vvv530)) (Pos (Succ vvv531)))",fontsize=16,color="black",shape="box"];13411 -> 13564[label="",style="solid", color="black", weight=3];
6135 -> 15[label="",style="dashed", color="red", weight=0];
6135[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6134[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (abs (Pos vvv224) `rem` Pos (Succ vvv520) == vvv303) (Pos (Succ vvv520)) (abs (Pos vvv224) `rem` Pos (Succ vvv520)))",fontsize=16,color="black",shape="triangle"];6134 -> 6327[label="",style="solid", color="black", weight=3];
11325 -> 15[label="",style="dashed", color="red", weight=0];
11325[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11324[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (abs (Pos vvv441) `rem` Neg (Succ vvv437) == vvv479) (Neg (Succ vvv437)) (abs (Pos vvv441) `rem` Neg (Succ vvv437)))",fontsize=16,color="black",shape="triangle"];11324 -> 11354[label="",style="solid", color="black", weight=3];
14121 -> 13959[label="",style="dashed", color="red", weight=0];
14121[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 (primEqNat vvv5540 vvv5550) (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="magenta"];14121 -> 14167[label="",style="dashed", color="magenta", weight=3];
14121 -> 14168[label="",style="dashed", color="magenta", weight=3];
14122 -> 10819[label="",style="dashed", color="red", weight=0];
14122[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 False (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="magenta"];14122 -> 14169[label="",style="dashed", color="magenta", weight=3];
14122 -> 14170[label="",style="dashed", color="magenta", weight=3];
14122 -> 14171[label="",style="dashed", color="magenta", weight=3];
14123 -> 10819[label="",style="dashed", color="red", weight=0];
14123[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 False (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="magenta"];14123 -> 14172[label="",style="dashed", color="magenta", weight=3];
14123 -> 14173[label="",style="dashed", color="magenta", weight=3];
14123 -> 14174[label="",style="dashed", color="magenta", weight=3];
14124[label="primQuotInt (Neg vvv553) (gcd0Gcd'1 True (abs (Pos vvv556)) (Neg (Succ vvv557)))",fontsize=16,color="black",shape="box"];14124 -> 14175[label="",style="solid", color="black", weight=3];
23072 -> 10196[label="",style="dashed", color="red", weight=0];
23072[label="abs (Pos vvv224) `rem` Pos Zero",fontsize=16,color="magenta"];23072 -> 23081[label="",style="dashed", color="magenta", weight=3];
23073[label="vvv51",fontsize=16,color="green",shape="box"];6158[label="primQuotInt (Neg vvv51) (absReal1 (Pos vvv224) (not (compare (Pos vvv224) vvv296 == LT)))",fontsize=16,color="black",shape="box"];6158 -> 6351[label="",style="solid", color="black", weight=3];
6301[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Neg vvv222)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal2 (Neg vvv222)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];6301 -> 6368[label="",style="solid", color="black", weight=3];
10850[label="primRemInt (absReal2 (Neg vvv226)) (Pos Zero)",fontsize=16,color="black",shape="box"];10850 -> 11016[label="",style="solid", color="black", weight=3];
23221 -> 11050[label="",style="dashed", color="red", weight=0];
23221[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt vvv1054 vvv1058) (Pos Zero) vvv1054)",fontsize=16,color="magenta"];23221 -> 23347[label="",style="dashed", color="magenta", weight=3];
23221 -> 23348[label="",style="dashed", color="magenta", weight=3];
23221 -> 23349[label="",style="dashed", color="magenta", weight=3];
23221 -> 23350[label="",style="dashed", color="magenta", weight=3];
11393[label="primQuotInt (Pos vvv450) (gcd0Gcd'0 (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="black",shape="box"];11393 -> 11423[label="",style="solid", color="black", weight=3];
11394 -> 14915[label="",style="dashed", color="red", weight=0];
11394[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqNat vvv451 vvv45400) (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="magenta"];11394 -> 14916[label="",style="dashed", color="magenta", weight=3];
11394 -> 14917[label="",style="dashed", color="magenta", weight=3];
11394 -> 14918[label="",style="dashed", color="magenta", weight=3];
11394 -> 14919[label="",style="dashed", color="magenta", weight=3];
11394 -> 14920[label="",style="dashed", color="magenta", weight=3];
11395 -> 11327[label="",style="dashed", color="red", weight=0];
11395[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 False (abs (Neg vvv455)) (Neg (Succ vvv451)))",fontsize=16,color="magenta"];6215[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Neg vvv226)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal2 (Neg vvv226)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];6215 -> 6402[label="",style="solid", color="black", weight=3];
6216 -> 27453[label="",style="dashed", color="red", weight=0];
6216[label="primQuotInt (Pos vvv71) (gcd0Gcd' (Neg Zero) (abs (Neg vvv226) `rem` Neg Zero))",fontsize=16,color="magenta"];6216 -> 27460[label="",style="dashed", color="magenta", weight=3];
6216 -> 27461[label="",style="dashed", color="magenta", weight=3];
6218[label="primQuotInt (Pos vvv71) (absReal1 (Neg vvv226) (not (compare (Neg vvv226) vvv299 == LT)))",fontsize=16,color="black",shape="box"];6218 -> 6405[label="",style="solid", color="black", weight=3];
6238 -> 6428[label="",style="dashed", color="red", weight=0];
6238[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= fromInt (Pos Zero))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= fromInt (Pos Zero))) (Pos (Succ vvv1160))))",fontsize=16,color="magenta"];6238 -> 6429[label="",style="dashed", color="magenta", weight=3];
6238 -> 6430[label="",style="dashed", color="magenta", weight=3];
27458[label="vvv115",fontsize=16,color="green",shape="box"];27459 -> 10443[label="",style="dashed", color="red", weight=0];
27459[label="abs (Pos vvv220) `rem` Neg Zero",fontsize=16,color="magenta"];11001 -> 11269[label="",style="dashed", color="red", weight=0];
11001[label="primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= fromInt (Pos Zero))) (Pos Zero)",fontsize=16,color="magenta"];11001 -> 11270[label="",style="dashed", color="magenta", weight=3];
21068[label="vvv911",fontsize=16,color="green",shape="box"];21069[label="vvv922",fontsize=16,color="green",shape="box"];21070[label="vvv911",fontsize=16,color="green",shape="box"];21071[label="vvv870",fontsize=16,color="green",shape="box"];10195[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt vvv469 vvv289) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="triangle"];30520[label="vvv469/Pos vvv4690",fontsize=10,color="white",style="solid",shape="box"];10195 -> 30520[label="",style="solid", color="burlywood", weight=9];
30520 -> 10405[label="",style="solid", color="burlywood", weight=3];
30521[label="vvv469/Neg vvv4690",fontsize=10,color="white",style="solid",shape="box"];10195 -> 30521[label="",style="solid", color="burlywood", weight=9];
30521 -> 10406[label="",style="solid", color="burlywood", weight=3];
6241[label="primQuotInt (Pos vvv115) (absReal1 (Pos vvv220) (not (primCmpInt (Pos vvv220) vvv291 == LT)))",fontsize=16,color="burlywood",shape="box"];30522[label="vvv220/Succ vvv2200",fontsize=10,color="white",style="solid",shape="box"];6241 -> 30522[label="",style="solid", color="burlywood", weight=9];
30522 -> 6443[label="",style="solid", color="burlywood", weight=3];
30523[label="vvv220/Zero",fontsize=10,color="white",style="solid",shape="box"];6241 -> 30523[label="",style="solid", color="burlywood", weight=9];
30523 -> 6444[label="",style="solid", color="burlywood", weight=3];
11335[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (abs (Neg vvv427) `rem` Neg (Succ vvv423)) vvv477) (Neg (Succ vvv423)) (abs (Neg vvv427) `rem` Neg (Succ vvv423)))",fontsize=16,color="black",shape="box"];11335 -> 11402[label="",style="solid", color="black", weight=3];
14080[label="vvv5420",fontsize=16,color="green",shape="box"];14081[label="vvv5430",fontsize=16,color="green",shape="box"];14082[label="vvv541",fontsize=16,color="green",shape="box"];14083[label="vvv544",fontsize=16,color="green",shape="box"];14084[label="vvv545",fontsize=16,color="green",shape="box"];14085[label="vvv541",fontsize=16,color="green",shape="box"];14086[label="vvv544",fontsize=16,color="green",shape="box"];14087[label="vvv545",fontsize=16,color="green",shape="box"];14088 -> 4762[label="",style="dashed", color="red", weight=0];
14088[label="primQuotInt (Neg vvv541) (abs (Neg vvv544))",fontsize=16,color="magenta"];14088 -> 14134[label="",style="dashed", color="magenta", weight=3];
14088 -> 14135[label="",style="dashed", color="magenta", weight=3];
23080[label="vvv222",fontsize=16,color="green",shape="box"];11386 -> 11541[label="",style="dashed", color="red", weight=0];
11386[label="primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= fromInt (Pos Zero))) (Neg Zero)",fontsize=16,color="magenta"];11386 -> 11542[label="",style="dashed", color="magenta", weight=3];
24517[label="vvv1094",fontsize=16,color="green",shape="box"];24518[label="vvv1097",fontsize=16,color="green",shape="box"];24519[label="vvv1094",fontsize=16,color="green",shape="box"];24520[label="vvv1068",fontsize=16,color="green",shape="box"];10600[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt vvv473 vvv295) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="triangle"];30526[label="vvv473/Pos vvv4730",fontsize=10,color="white",style="solid",shape="box"];10600 -> 30526[label="",style="solid", color="burlywood", weight=9];
30526 -> 10832[label="",style="solid", color="burlywood", weight=3];
30527[label="vvv473/Neg vvv4730",fontsize=10,color="white",style="solid",shape="box"];10600 -> 30527[label="",style="solid", color="burlywood", weight=9];
30527 -> 10833[label="",style="solid", color="burlywood", weight=3];
6275[label="primQuotInt (Neg vvv46) (absReal1 (Neg vvv222) (not (primCmpInt (Neg vvv222) vvv293 == LT)))",fontsize=16,color="burlywood",shape="box"];30528[label="vvv222/Succ vvv2220",fontsize=10,color="white",style="solid",shape="box"];6275 -> 30528[label="",style="solid", color="burlywood", weight=9];
30528 -> 6490[label="",style="solid", color="burlywood", weight=3];
30529[label="vvv222/Zero",fontsize=10,color="white",style="solid",shape="box"];6275 -> 30529[label="",style="solid", color="burlywood", weight=9];
30529 -> 6491[label="",style="solid", color="burlywood", weight=3];
11422[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (abs (Pos vvv420) `rem` Neg (Succ vvv416)) vvv481) (Neg (Succ vvv416)) (abs (Pos vvv420) `rem` Neg (Succ vvv416)))",fontsize=16,color="black",shape="box"];11422 -> 11489[label="",style="solid", color="black", weight=3];
14611[label="vvv5700",fontsize=16,color="green",shape="box"];14612[label="vvv5710",fontsize=16,color="green",shape="box"];14613[label="vvv573",fontsize=16,color="green",shape="box"];14614[label="vvv572",fontsize=16,color="green",shape="box"];14615[label="vvv569",fontsize=16,color="green",shape="box"];14616[label="vvv573",fontsize=16,color="green",shape="box"];14617[label="vvv572",fontsize=16,color="green",shape="box"];14618[label="vvv569",fontsize=16,color="green",shape="box"];14619 -> 4747[label="",style="dashed", color="red", weight=0];
14619[label="primQuotInt (Pos vvv569) (abs (Pos vvv572))",fontsize=16,color="magenta"];14619 -> 14682[label="",style="dashed", color="magenta", weight=3];
14619 -> 14683[label="",style="dashed", color="magenta", weight=3];
11254 -> 11387[label="",style="dashed", color="red", weight=0];
11254[label="primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= fromInt (Pos Zero))) (Neg Zero)",fontsize=16,color="magenta"];11254 -> 11388[label="",style="dashed", color="magenta", weight=3];
27605[label="vvv1262",fontsize=16,color="green",shape="box"];27606[label="vvv1249",fontsize=16,color="green",shape="box"];27607[label="vvv1261",fontsize=16,color="green",shape="box"];27608[label="vvv1261",fontsize=16,color="green",shape="box"];10442[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt vvv471 vvv316) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="triangle"];30532[label="vvv471/Pos vvv4710",fontsize=10,color="white",style="solid",shape="box"];10442 -> 30532[label="",style="solid", color="burlywood", weight=9];
30532 -> 10570[label="",style="solid", color="burlywood", weight=3];
30533[label="vvv471/Neg vvv4710",fontsize=10,color="white",style="solid",shape="box"];10442 -> 30533[label="",style="solid", color="burlywood", weight=9];
30533 -> 10571[label="",style="solid", color="burlywood", weight=3];
11349 -> 11412[label="",style="dashed", color="red", weight=0];
11349[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (abs (Pos vvv420) `rem` Neg (Succ vvv416) == fromInt (Pos Zero)) (Neg (Succ vvv416)) (abs (Pos vvv420) `rem` Neg (Succ vvv416)))",fontsize=16,color="magenta"];11349 -> 11421[label="",style="dashed", color="magenta", weight=3];
13556[label="vvv5280",fontsize=16,color="green",shape="box"];13557[label="vvv5290",fontsize=16,color="green",shape="box"];13558[label="vvv530",fontsize=16,color="green",shape="box"];13559[label="vvv527",fontsize=16,color="green",shape="box"];13560[label="vvv531",fontsize=16,color="green",shape="box"];13561[label="vvv530",fontsize=16,color="green",shape="box"];13562[label="vvv527",fontsize=16,color="green",shape="box"];13563[label="vvv531",fontsize=16,color="green",shape="box"];13564 -> 4841[label="",style="dashed", color="red", weight=0];
13564[label="primQuotInt (Neg vvv527) (abs (Pos vvv530))",fontsize=16,color="magenta"];13564 -> 13683[label="",style="dashed", color="magenta", weight=3];
13564 -> 13684[label="",style="dashed", color="magenta", weight=3];
6327[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (abs (Pos vvv224) `rem` Pos (Succ vvv520)) vvv303) (Pos (Succ vvv520)) (abs (Pos vvv224) `rem` Pos (Succ vvv520)))",fontsize=16,color="black",shape="box"];6327 -> 6542[label="",style="solid", color="black", weight=3];
11354[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (abs (Pos vvv441) `rem` Neg (Succ vvv437)) vvv479) (Neg (Succ vvv437)) (abs (Pos vvv441) `rem` Neg (Succ vvv437)))",fontsize=16,color="black",shape="box"];11354 -> 11431[label="",style="solid", color="black", weight=3];
14167[label="vvv5540",fontsize=16,color="green",shape="box"];14168[label="vvv5550",fontsize=16,color="green",shape="box"];14169[label="vvv557",fontsize=16,color="green",shape="box"];14170[label="vvv553",fontsize=16,color="green",shape="box"];14171[label="vvv556",fontsize=16,color="green",shape="box"];14172[label="vvv557",fontsize=16,color="green",shape="box"];14173[label="vvv553",fontsize=16,color="green",shape="box"];14174[label="vvv556",fontsize=16,color="green",shape="box"];14175 -> 4841[label="",style="dashed", color="red", weight=0];
14175[label="primQuotInt (Neg vvv553) (abs (Pos vvv556))",fontsize=16,color="magenta"];14175 -> 14180[label="",style="dashed", color="magenta", weight=3];
14175 -> 14181[label="",style="dashed", color="magenta", weight=3];
23081[label="vvv224",fontsize=16,color="green",shape="box"];6351[label="primQuotInt (Neg vvv51) (absReal1 (Pos vvv224) (not (primCmpInt (Pos vvv224) vvv296 == LT)))",fontsize=16,color="burlywood",shape="box"];30537[label="vvv224/Succ vvv2240",fontsize=10,color="white",style="solid",shape="box"];6351 -> 30537[label="",style="solid", color="burlywood", weight=9];
30537 -> 6569[label="",style="solid", color="burlywood", weight=3];
30538[label="vvv224/Zero",fontsize=10,color="white",style="solid",shape="box"];6351 -> 30538[label="",style="solid", color="burlywood", weight=9];
30538 -> 6570[label="",style="solid", color="burlywood", weight=3];
6368 -> 6594[label="",style="dashed", color="red", weight=0];
6368[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv222) (Neg vvv222 >= fromInt (Pos Zero))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg vvv222) (Neg vvv222 >= fromInt (Pos Zero))) (Pos (Succ vvv470))))",fontsize=16,color="magenta"];6368 -> 6595[label="",style="dashed", color="magenta", weight=3];
6368 -> 6596[label="",style="dashed", color="magenta", weight=3];
11016 -> 11487[label="",style="dashed", color="red", weight=0];
11016[label="primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= fromInt (Pos Zero))) (Pos Zero)",fontsize=16,color="magenta"];11016 -> 11488[label="",style="dashed", color="magenta", weight=3];
23347[label="vvv1013",fontsize=16,color="green",shape="box"];23348[label="vvv1054",fontsize=16,color="green",shape="box"];23349[label="vvv1058",fontsize=16,color="green",shape="box"];23350[label="vvv1054",fontsize=16,color="green",shape="box"];11050[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt vvv475 vvv309) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="triangle"];30541[label="vvv475/Pos vvv4750",fontsize=10,color="white",style="solid",shape="box"];11050 -> 30541[label="",style="solid", color="burlywood", weight=9];
30541 -> 11244[label="",style="solid", color="burlywood", weight=3];
30542[label="vvv475/Neg vvv4750",fontsize=10,color="white",style="solid",shape="box"];11050 -> 30542[label="",style="solid", color="burlywood", weight=9];
30542 -> 11245[label="",style="solid", color="burlywood", weight=3];
11423[label="primQuotInt (Pos vvv450) (gcd0Gcd' (Neg (Succ vvv451)) (abs (Neg vvv455) `rem` Neg (Succ vvv451)))",fontsize=16,color="black",shape="box"];11423 -> 11490[label="",style="solid", color="black", weight=3];
14916[label="vvv451",fontsize=16,color="green",shape="box"];14917[label="vvv455",fontsize=16,color="green",shape="box"];14918[label="vvv451",fontsize=16,color="green",shape="box"];14919[label="vvv45400",fontsize=16,color="green",shape="box"];14920[label="vvv450",fontsize=16,color="green",shape="box"];14915[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat vvv589 vvv590) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="burlywood",shape="triangle"];30543[label="vvv589/Succ vvv5890",fontsize=10,color="white",style="solid",shape="box"];14915 -> 30543[label="",style="solid", color="burlywood", weight=9];
30543 -> 14965[label="",style="solid", color="burlywood", weight=3];
30544[label="vvv589/Zero",fontsize=10,color="white",style="solid",shape="box"];14915 -> 30544[label="",style="solid", color="burlywood", weight=9];
30544 -> 14966[label="",style="solid", color="burlywood", weight=3];
6402 -> 6639[label="",style="dashed", color="red", weight=0];
6402[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= fromInt (Pos Zero))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= fromInt (Pos Zero))) (Pos (Succ vvv720))))",fontsize=16,color="magenta"];6402 -> 6640[label="",style="dashed", color="magenta", weight=3];
6402 -> 6641[label="",style="dashed", color="magenta", weight=3];
27460[label="vvv71",fontsize=16,color="green",shape="box"];27461 -> 10457[label="",style="dashed", color="red", weight=0];
27461[label="abs (Neg vvv226) `rem` Neg Zero",fontsize=16,color="magenta"];6405[label="primQuotInt (Pos vvv71) (absReal1 (Neg vvv226) (not (primCmpInt (Neg vvv226) vvv299 == LT)))",fontsize=16,color="burlywood",shape="box"];30547[label="vvv226/Succ vvv2260",fontsize=10,color="white",style="solid",shape="box"];6405 -> 30547[label="",style="solid", color="burlywood", weight=9];
30547 -> 6653[label="",style="solid", color="burlywood", weight=3];
30548[label="vvv226/Zero",fontsize=10,color="white",style="solid",shape="box"];6405 -> 30548[label="",style="solid", color="burlywood", weight=9];
30548 -> 6654[label="",style="solid", color="burlywood", weight=3];
6429 -> 15[label="",style="dashed", color="red", weight=0];
6429[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6430 -> 15[label="",style="dashed", color="red", weight=0];
6430[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6428[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= vvv308)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= vvv307)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="triangle"];6428 -> 6675[label="",style="solid", color="black", weight=3];
11270 -> 15[label="",style="dashed", color="red", weight=0];
11270[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11269[label="primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= vvv476)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];11269 -> 11534[label="",style="solid", color="black", weight=3];
10405[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos vvv4690) vvv289) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30552[label="vvv4690/Succ vvv46900",fontsize=10,color="white",style="solid",shape="box"];10405 -> 30552[label="",style="solid", color="burlywood", weight=9];
30552 -> 10573[label="",style="solid", color="burlywood", weight=3];
30553[label="vvv4690/Zero",fontsize=10,color="white",style="solid",shape="box"];10405 -> 30553[label="",style="solid", color="burlywood", weight=9];
30553 -> 10574[label="",style="solid", color="burlywood", weight=3];
10406[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg vvv4690) vvv289) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30554[label="vvv4690/Succ vvv46900",fontsize=10,color="white",style="solid",shape="box"];10406 -> 30554[label="",style="solid", color="burlywood", weight=9];
30554 -> 10575[label="",style="solid", color="burlywood", weight=3];
30555[label="vvv4690/Zero",fontsize=10,color="white",style="solid",shape="box"];10406 -> 30555[label="",style="solid", color="burlywood", weight=9];
30555 -> 10576[label="",style="solid", color="burlywood", weight=3];
6443[label="primQuotInt (Pos vvv115) (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) vvv291 == LT)))",fontsize=16,color="burlywood",shape="box"];30556[label="vvv291/Pos vvv2910",fontsize=10,color="white",style="solid",shape="box"];6443 -> 30556[label="",style="solid", color="burlywood", weight=9];
30556 -> 6702[label="",style="solid", color="burlywood", weight=3];
30557[label="vvv291/Neg vvv2910",fontsize=10,color="white",style="solid",shape="box"];6443 -> 30557[label="",style="solid", color="burlywood", weight=9];
30557 -> 6703[label="",style="solid", color="burlywood", weight=3];
6444[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv291 == LT)))",fontsize=16,color="burlywood",shape="box"];30558[label="vvv291/Pos vvv2910",fontsize=10,color="white",style="solid",shape="box"];6444 -> 30558[label="",style="solid", color="burlywood", weight=9];
30558 -> 6704[label="",style="solid", color="burlywood", weight=3];
30559[label="vvv291/Neg vvv2910",fontsize=10,color="white",style="solid",shape="box"];6444 -> 30559[label="",style="solid", color="burlywood", weight=9];
30559 -> 6705[label="",style="solid", color="burlywood", weight=3];
11402[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Neg vvv427)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (abs (Neg vvv427)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];11402 -> 11436[label="",style="solid", color="black", weight=3];
14134[label="vvv544",fontsize=16,color="green",shape="box"];14135[label="vvv541",fontsize=16,color="green",shape="box"];11542 -> 15[label="",style="dashed", color="red", weight=0];
11542[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11541[label="primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= vvv483)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];11541 -> 11602[label="",style="solid", color="black", weight=3];
10832[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos vvv4730) vvv295) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30561[label="vvv4730/Succ vvv47300",fontsize=10,color="white",style="solid",shape="box"];10832 -> 30561[label="",style="solid", color="burlywood", weight=9];
30561 -> 10988[label="",style="solid", color="burlywood", weight=3];
30562[label="vvv4730/Zero",fontsize=10,color="white",style="solid",shape="box"];10832 -> 30562[label="",style="solid", color="burlywood", weight=9];
30562 -> 10989[label="",style="solid", color="burlywood", weight=3];
10833[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg vvv4730) vvv295) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30563[label="vvv4730/Succ vvv47300",fontsize=10,color="white",style="solid",shape="box"];10833 -> 30563[label="",style="solid", color="burlywood", weight=9];
30563 -> 10990[label="",style="solid", color="burlywood", weight=3];
30564[label="vvv4730/Zero",fontsize=10,color="white",style="solid",shape="box"];10833 -> 30564[label="",style="solid", color="burlywood", weight=9];
30564 -> 10991[label="",style="solid", color="burlywood", weight=3];
6490[label="primQuotInt (Neg vvv46) (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) vvv293 == LT)))",fontsize=16,color="burlywood",shape="box"];30565[label="vvv293/Pos vvv2930",fontsize=10,color="white",style="solid",shape="box"];6490 -> 30565[label="",style="solid", color="burlywood", weight=9];
30565 -> 6778[label="",style="solid", color="burlywood", weight=3];
30566[label="vvv293/Neg vvv2930",fontsize=10,color="white",style="solid",shape="box"];6490 -> 30566[label="",style="solid", color="burlywood", weight=9];
30566 -> 6779[label="",style="solid", color="burlywood", weight=3];
6491[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv293 == LT)))",fontsize=16,color="burlywood",shape="box"];30567[label="vvv293/Pos vvv2930",fontsize=10,color="white",style="solid",shape="box"];6491 -> 30567[label="",style="solid", color="burlywood", weight=9];
30567 -> 6780[label="",style="solid", color="burlywood", weight=3];
30568[label="vvv293/Neg vvv2930",fontsize=10,color="white",style="solid",shape="box"];6491 -> 30568[label="",style="solid", color="burlywood", weight=9];
30568 -> 6781[label="",style="solid", color="burlywood", weight=3];
11489[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Pos vvv420)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (abs (Pos vvv420)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];11489 -> 11543[label="",style="solid", color="black", weight=3];
14682[label="vvv572",fontsize=16,color="green",shape="box"];14683[label="vvv569",fontsize=16,color="green",shape="box"];11388 -> 15[label="",style="dashed", color="red", weight=0];
11388[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11387[label="primRemInt (absReal1 (Pos vvv220) (Pos vvv220 >= vvv480)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];11387 -> 11588[label="",style="solid", color="black", weight=3];
10570[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos vvv4710) vvv316) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30570[label="vvv4710/Succ vvv47100",fontsize=10,color="white",style="solid",shape="box"];10570 -> 30570[label="",style="solid", color="burlywood", weight=9];
30570 -> 10837[label="",style="solid", color="burlywood", weight=3];
30571[label="vvv4710/Zero",fontsize=10,color="white",style="solid",shape="box"];10570 -> 30571[label="",style="solid", color="burlywood", weight=9];
30571 -> 10838[label="",style="solid", color="burlywood", weight=3];
10571[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg vvv4710) vvv316) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30572[label="vvv4710/Succ vvv47100",fontsize=10,color="white",style="solid",shape="box"];10571 -> 30572[label="",style="solid", color="burlywood", weight=9];
30572 -> 10839[label="",style="solid", color="burlywood", weight=3];
30573[label="vvv4710/Zero",fontsize=10,color="white",style="solid",shape="box"];10571 -> 30573[label="",style="solid", color="burlywood", weight=9];
30573 -> 10840[label="",style="solid", color="burlywood", weight=3];
11421 -> 15[label="",style="dashed", color="red", weight=0];
11421[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];13683[label="vvv530",fontsize=16,color="green",shape="box"];13684[label="vvv527",fontsize=16,color="green",shape="box"];6542[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Pos vvv224)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (abs (Pos vvv224)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];6542 -> 6916[label="",style="solid", color="black", weight=3];
11431[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Pos vvv441)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (abs (Pos vvv441)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];11431 -> 11501[label="",style="solid", color="black", weight=3];
14180[label="vvv556",fontsize=16,color="green",shape="box"];14181[label="vvv553",fontsize=16,color="green",shape="box"];6569[label="primQuotInt (Neg vvv51) (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) vvv296 == LT)))",fontsize=16,color="burlywood",shape="box"];30575[label="vvv296/Pos vvv2960",fontsize=10,color="white",style="solid",shape="box"];6569 -> 30575[label="",style="solid", color="burlywood", weight=9];
30575 -> 6931[label="",style="solid", color="burlywood", weight=3];
30576[label="vvv296/Neg vvv2960",fontsize=10,color="white",style="solid",shape="box"];6569 -> 30576[label="",style="solid", color="burlywood", weight=9];
30576 -> 6932[label="",style="solid", color="burlywood", weight=3];
6570[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv296 == LT)))",fontsize=16,color="burlywood",shape="box"];30577[label="vvv296/Pos vvv2960",fontsize=10,color="white",style="solid",shape="box"];6570 -> 30577[label="",style="solid", color="burlywood", weight=9];
30577 -> 6933[label="",style="solid", color="burlywood", weight=3];
30578[label="vvv296/Neg vvv2960",fontsize=10,color="white",style="solid",shape="box"];6570 -> 30578[label="",style="solid", color="burlywood", weight=9];
30578 -> 6934[label="",style="solid", color="burlywood", weight=3];
6595 -> 15[label="",style="dashed", color="red", weight=0];
6595[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6596 -> 15[label="",style="dashed", color="red", weight=0];
6596[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6594[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv222) (Neg vvv222 >= vvv313)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg vvv222) (Neg vvv222 >= vvv312)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="triangle"];6594 -> 7013[label="",style="solid", color="black", weight=3];
11488 -> 15[label="",style="dashed", color="red", weight=0];
11488[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11487[label="primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= vvv482)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];11487 -> 11595[label="",style="solid", color="black", weight=3];
11244[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos vvv4750) vvv309) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30582[label="vvv4750/Succ vvv47500",fontsize=10,color="white",style="solid",shape="box"];11244 -> 30582[label="",style="solid", color="burlywood", weight=9];
30582 -> 11355[label="",style="solid", color="burlywood", weight=3];
30583[label="vvv4750/Zero",fontsize=10,color="white",style="solid",shape="box"];11244 -> 30583[label="",style="solid", color="burlywood", weight=9];
30583 -> 11356[label="",style="solid", color="burlywood", weight=3];
11245[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg vvv4750) vvv309) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30584[label="vvv4750/Succ vvv47500",fontsize=10,color="white",style="solid",shape="box"];11245 -> 30584[label="",style="solid", color="burlywood", weight=9];
30584 -> 11357[label="",style="solid", color="burlywood", weight=3];
30585[label="vvv4750/Zero",fontsize=10,color="white",style="solid",shape="box"];11245 -> 30585[label="",style="solid", color="burlywood", weight=9];
30585 -> 11358[label="",style="solid", color="burlywood", weight=3];
11490[label="primQuotInt (Pos vvv450) (gcd0Gcd'2 (Neg (Succ vvv451)) (abs (Neg vvv455) `rem` Neg (Succ vvv451)))",fontsize=16,color="black",shape="box"];11490 -> 11544[label="",style="solid", color="black", weight=3];
14965[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat (Succ vvv5890) vvv590) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="burlywood",shape="box"];30586[label="vvv590/Succ vvv5900",fontsize=10,color="white",style="solid",shape="box"];14965 -> 30586[label="",style="solid", color="burlywood", weight=9];
30586 -> 15056[label="",style="solid", color="burlywood", weight=3];
30587[label="vvv590/Zero",fontsize=10,color="white",style="solid",shape="box"];14965 -> 30587[label="",style="solid", color="burlywood", weight=9];
30587 -> 15057[label="",style="solid", color="burlywood", weight=3];
14966[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat Zero vvv590) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="burlywood",shape="box"];30588[label="vvv590/Succ vvv5900",fontsize=10,color="white",style="solid",shape="box"];14966 -> 30588[label="",style="solid", color="burlywood", weight=9];
30588 -> 15058[label="",style="solid", color="burlywood", weight=3];
30589[label="vvv590/Zero",fontsize=10,color="white",style="solid",shape="box"];14966 -> 30589[label="",style="solid", color="burlywood", weight=9];
30589 -> 15059[label="",style="solid", color="burlywood", weight=3];
6640 -> 15[label="",style="dashed", color="red", weight=0];
6640[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6641 -> 15[label="",style="dashed", color="red", weight=0];
6641[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];6639[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= vvv315)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg vvv226) (Neg vvv226 >= vvv314)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="triangle"];6639 -> 7111[label="",style="solid", color="black", weight=3];
6653[label="primQuotInt (Pos vvv71) (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) vvv299 == LT)))",fontsize=16,color="burlywood",shape="box"];30592[label="vvv299/Pos vvv2990",fontsize=10,color="white",style="solid",shape="box"];6653 -> 30592[label="",style="solid", color="burlywood", weight=9];
30592 -> 7131[label="",style="solid", color="burlywood", weight=3];
30593[label="vvv299/Neg vvv2990",fontsize=10,color="white",style="solid",shape="box"];6653 -> 30593[label="",style="solid", color="burlywood", weight=9];
30593 -> 7132[label="",style="solid", color="burlywood", weight=3];
6654[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv299 == LT)))",fontsize=16,color="burlywood",shape="box"];30594[label="vvv299/Pos vvv2990",fontsize=10,color="white",style="solid",shape="box"];6654 -> 30594[label="",style="solid", color="burlywood", weight=9];
30594 -> 7133[label="",style="solid", color="burlywood", weight=3];
30595[label="vvv299/Neg vvv2990",fontsize=10,color="white",style="solid",shape="box"];6654 -> 30595[label="",style="solid", color="burlywood", weight=9];
30595 -> 7134[label="",style="solid", color="burlywood", weight=3];
6675[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv220) (compare (Pos vvv220) vvv308 /= LT)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos vvv220) (compare (Pos vvv220) vvv308 /= LT)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];6675 -> 7213[label="",style="solid", color="black", weight=3];
11534[label="primRemInt (absReal1 (Pos vvv220) (compare (Pos vvv220) vvv476 /= LT)) (Pos Zero)",fontsize=16,color="black",shape="box"];11534 -> 11596[label="",style="solid", color="black", weight=3];
10573[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv46900)) vvv289) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30596[label="vvv289/Pos vvv2890",fontsize=10,color="white",style="solid",shape="box"];10573 -> 30596[label="",style="solid", color="burlywood", weight=9];
30596 -> 10842[label="",style="solid", color="burlywood", weight=3];
30597[label="vvv289/Neg vvv2890",fontsize=10,color="white",style="solid",shape="box"];10573 -> 30597[label="",style="solid", color="burlywood", weight=9];
30597 -> 10843[label="",style="solid", color="burlywood", weight=3];
10574[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv289) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30598[label="vvv289/Pos vvv2890",fontsize=10,color="white",style="solid",shape="box"];10574 -> 30598[label="",style="solid", color="burlywood", weight=9];
30598 -> 10844[label="",style="solid", color="burlywood", weight=3];
30599[label="vvv289/Neg vvv2890",fontsize=10,color="white",style="solid",shape="box"];10574 -> 30599[label="",style="solid", color="burlywood", weight=9];
30599 -> 10845[label="",style="solid", color="burlywood", weight=3];
10575[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv46900)) vvv289) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30600[label="vvv289/Pos vvv2890",fontsize=10,color="white",style="solid",shape="box"];10575 -> 30600[label="",style="solid", color="burlywood", weight=9];
30600 -> 10846[label="",style="solid", color="burlywood", weight=3];
30601[label="vvv289/Neg vvv2890",fontsize=10,color="white",style="solid",shape="box"];10575 -> 30601[label="",style="solid", color="burlywood", weight=9];
30601 -> 10847[label="",style="solid", color="burlywood", weight=3];
10576[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv289) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30602[label="vvv289/Pos vvv2890",fontsize=10,color="white",style="solid",shape="box"];10576 -> 30602[label="",style="solid", color="burlywood", weight=9];
30602 -> 10848[label="",style="solid", color="burlywood", weight=3];
30603[label="vvv289/Neg vvv2890",fontsize=10,color="white",style="solid",shape="box"];10576 -> 30603[label="",style="solid", color="burlywood", weight=9];
30603 -> 10849[label="",style="solid", color="burlywood", weight=3];
6702[label="primQuotInt (Pos vvv115) (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Pos vvv2910) == LT)))",fontsize=16,color="black",shape="box"];6702 -> 7229[label="",style="solid", color="black", weight=3];
6703[label="primQuotInt (Pos vvv115) (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Neg vvv2910) == LT)))",fontsize=16,color="black",shape="box"];6703 -> 7230[label="",style="solid", color="black", weight=3];
6704[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2910) == LT)))",fontsize=16,color="burlywood",shape="box"];30604[label="vvv2910/Succ vvv29100",fontsize=10,color="white",style="solid",shape="box"];6704 -> 30604[label="",style="solid", color="burlywood", weight=9];
30604 -> 7231[label="",style="solid", color="burlywood", weight=3];
30605[label="vvv2910/Zero",fontsize=10,color="white",style="solid",shape="box"];6704 -> 30605[label="",style="solid", color="burlywood", weight=9];
30605 -> 7232[label="",style="solid", color="burlywood", weight=3];
6705[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2910) == LT)))",fontsize=16,color="burlywood",shape="box"];30606[label="vvv2910/Succ vvv29100",fontsize=10,color="white",style="solid",shape="box"];6705 -> 30606[label="",style="solid", color="burlywood", weight=9];
30606 -> 7233[label="",style="solid", color="burlywood", weight=3];
30607[label="vvv2910/Zero",fontsize=10,color="white",style="solid",shape="box"];6705 -> 30607[label="",style="solid", color="burlywood", weight=9];
30607 -> 7234[label="",style="solid", color="burlywood", weight=3];
11436[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Neg vvv427)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal (Neg vvv427)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];11436 -> 11507[label="",style="solid", color="black", weight=3];
11602[label="primRemInt (absReal1 (Neg vvv226) (compare (Neg vvv226) vvv483 /= LT)) (Neg Zero)",fontsize=16,color="black",shape="box"];11602 -> 11810[label="",style="solid", color="black", weight=3];
10988[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47300)) vvv295) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30608[label="vvv295/Pos vvv2950",fontsize=10,color="white",style="solid",shape="box"];10988 -> 30608[label="",style="solid", color="burlywood", weight=9];
30608 -> 11246[label="",style="solid", color="burlywood", weight=3];
30609[label="vvv295/Neg vvv2950",fontsize=10,color="white",style="solid",shape="box"];10988 -> 30609[label="",style="solid", color="burlywood", weight=9];
30609 -> 11247[label="",style="solid", color="burlywood", weight=3];
10989[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv295) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30610[label="vvv295/Pos vvv2950",fontsize=10,color="white",style="solid",shape="box"];10989 -> 30610[label="",style="solid", color="burlywood", weight=9];
30610 -> 11248[label="",style="solid", color="burlywood", weight=3];
30611[label="vvv295/Neg vvv2950",fontsize=10,color="white",style="solid",shape="box"];10989 -> 30611[label="",style="solid", color="burlywood", weight=9];
30611 -> 11249[label="",style="solid", color="burlywood", weight=3];
10990[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47300)) vvv295) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30612[label="vvv295/Pos vvv2950",fontsize=10,color="white",style="solid",shape="box"];10990 -> 30612[label="",style="solid", color="burlywood", weight=9];
30612 -> 11250[label="",style="solid", color="burlywood", weight=3];
30613[label="vvv295/Neg vvv2950",fontsize=10,color="white",style="solid",shape="box"];10990 -> 30613[label="",style="solid", color="burlywood", weight=9];
30613 -> 11251[label="",style="solid", color="burlywood", weight=3];
10991[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv295) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30614[label="vvv295/Pos vvv2950",fontsize=10,color="white",style="solid",shape="box"];10991 -> 30614[label="",style="solid", color="burlywood", weight=9];
30614 -> 11252[label="",style="solid", color="burlywood", weight=3];
30615[label="vvv295/Neg vvv2950",fontsize=10,color="white",style="solid",shape="box"];10991 -> 30615[label="",style="solid", color="burlywood", weight=9];
30615 -> 11253[label="",style="solid", color="burlywood", weight=3];
6778[label="primQuotInt (Neg vvv46) (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) (Pos vvv2930) == LT)))",fontsize=16,color="black",shape="box"];6778 -> 7271[label="",style="solid", color="black", weight=3];
6779[label="primQuotInt (Neg vvv46) (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) (Neg vvv2930) == LT)))",fontsize=16,color="black",shape="box"];6779 -> 7272[label="",style="solid", color="black", weight=3];
6780[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2930) == LT)))",fontsize=16,color="burlywood",shape="box"];30616[label="vvv2930/Succ vvv29300",fontsize=10,color="white",style="solid",shape="box"];6780 -> 30616[label="",style="solid", color="burlywood", weight=9];
30616 -> 7273[label="",style="solid", color="burlywood", weight=3];
30617[label="vvv2930/Zero",fontsize=10,color="white",style="solid",shape="box"];6780 -> 30617[label="",style="solid", color="burlywood", weight=9];
30617 -> 7274[label="",style="solid", color="burlywood", weight=3];
6781[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2930) == LT)))",fontsize=16,color="burlywood",shape="box"];30618[label="vvv2930/Succ vvv29300",fontsize=10,color="white",style="solid",shape="box"];6781 -> 30618[label="",style="solid", color="burlywood", weight=9];
30618 -> 7275[label="",style="solid", color="burlywood", weight=3];
30619[label="vvv2930/Zero",fontsize=10,color="white",style="solid",shape="box"];6781 -> 30619[label="",style="solid", color="burlywood", weight=9];
30619 -> 7276[label="",style="solid", color="burlywood", weight=3];
11543[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Pos vvv420)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal (Pos vvv420)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];11543 -> 11681[label="",style="solid", color="black", weight=3];
11588[label="primRemInt (absReal1 (Pos vvv220) (compare (Pos vvv220) vvv480 /= LT)) (Neg Zero)",fontsize=16,color="black",shape="box"];11588 -> 11791[label="",style="solid", color="black", weight=3];
10837[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47100)) vvv316) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30620[label="vvv316/Pos vvv3160",fontsize=10,color="white",style="solid",shape="box"];10837 -> 30620[label="",style="solid", color="burlywood", weight=9];
30620 -> 10993[label="",style="solid", color="burlywood", weight=3];
30621[label="vvv316/Neg vvv3160",fontsize=10,color="white",style="solid",shape="box"];10837 -> 30621[label="",style="solid", color="burlywood", weight=9];
30621 -> 10994[label="",style="solid", color="burlywood", weight=3];
10838[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv316) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30622[label="vvv316/Pos vvv3160",fontsize=10,color="white",style="solid",shape="box"];10838 -> 30622[label="",style="solid", color="burlywood", weight=9];
30622 -> 10995[label="",style="solid", color="burlywood", weight=3];
30623[label="vvv316/Neg vvv3160",fontsize=10,color="white",style="solid",shape="box"];10838 -> 30623[label="",style="solid", color="burlywood", weight=9];
30623 -> 10996[label="",style="solid", color="burlywood", weight=3];
10839[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47100)) vvv316) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30624[label="vvv316/Pos vvv3160",fontsize=10,color="white",style="solid",shape="box"];10839 -> 30624[label="",style="solid", color="burlywood", weight=9];
30624 -> 10997[label="",style="solid", color="burlywood", weight=3];
30625[label="vvv316/Neg vvv3160",fontsize=10,color="white",style="solid",shape="box"];10839 -> 30625[label="",style="solid", color="burlywood", weight=9];
30625 -> 10998[label="",style="solid", color="burlywood", weight=3];
10840[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv316) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30626[label="vvv316/Pos vvv3160",fontsize=10,color="white",style="solid",shape="box"];10840 -> 30626[label="",style="solid", color="burlywood", weight=9];
30626 -> 10999[label="",style="solid", color="burlywood", weight=3];
30627[label="vvv316/Neg vvv3160",fontsize=10,color="white",style="solid",shape="box"];10840 -> 30627[label="",style="solid", color="burlywood", weight=9];
30627 -> 11000[label="",style="solid", color="burlywood", weight=3];
6916[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Pos vvv224)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal (Pos vvv224)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];6916 -> 7319[label="",style="solid", color="black", weight=3];
11501[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Pos vvv441)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal (Pos vvv441)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];11501 -> 11553[label="",style="solid", color="black", weight=3];
6931[label="primQuotInt (Neg vvv51) (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) (Pos vvv2960) == LT)))",fontsize=16,color="black",shape="box"];6931 -> 7339[label="",style="solid", color="black", weight=3];
6932[label="primQuotInt (Neg vvv51) (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) (Neg vvv2960) == LT)))",fontsize=16,color="black",shape="box"];6932 -> 7340[label="",style="solid", color="black", weight=3];
6933[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv2960) == LT)))",fontsize=16,color="burlywood",shape="box"];30628[label="vvv2960/Succ vvv29600",fontsize=10,color="white",style="solid",shape="box"];6933 -> 30628[label="",style="solid", color="burlywood", weight=9];
30628 -> 7341[label="",style="solid", color="burlywood", weight=3];
30629[label="vvv2960/Zero",fontsize=10,color="white",style="solid",shape="box"];6933 -> 30629[label="",style="solid", color="burlywood", weight=9];
30629 -> 7342[label="",style="solid", color="burlywood", weight=3];
6934[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv2960) == LT)))",fontsize=16,color="burlywood",shape="box"];30630[label="vvv2960/Succ vvv29600",fontsize=10,color="white",style="solid",shape="box"];6934 -> 30630[label="",style="solid", color="burlywood", weight=9];
30630 -> 7343[label="",style="solid", color="burlywood", weight=3];
30631[label="vvv2960/Zero",fontsize=10,color="white",style="solid",shape="box"];6934 -> 30631[label="",style="solid", color="burlywood", weight=9];
30631 -> 7344[label="",style="solid", color="burlywood", weight=3];
7013[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv222) (compare (Neg vvv222) vvv313 /= LT)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg vvv222) (compare (Neg vvv222) vvv313 /= LT)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];7013 -> 7356[label="",style="solid", color="black", weight=3];
11595[label="primRemInt (absReal1 (Neg vvv226) (compare (Neg vvv226) vvv482 /= LT)) (Pos Zero)",fontsize=16,color="black",shape="box"];11595 -> 11803[label="",style="solid", color="black", weight=3];
11355[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47500)) vvv309) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30632[label="vvv309/Pos vvv3090",fontsize=10,color="white",style="solid",shape="box"];11355 -> 30632[label="",style="solid", color="burlywood", weight=9];
30632 -> 11451[label="",style="solid", color="burlywood", weight=3];
30633[label="vvv309/Neg vvv3090",fontsize=10,color="white",style="solid",shape="box"];11355 -> 30633[label="",style="solid", color="burlywood", weight=9];
30633 -> 11452[label="",style="solid", color="burlywood", weight=3];
11356[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv309) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30634[label="vvv309/Pos vvv3090",fontsize=10,color="white",style="solid",shape="box"];11356 -> 30634[label="",style="solid", color="burlywood", weight=9];
30634 -> 11453[label="",style="solid", color="burlywood", weight=3];
30635[label="vvv309/Neg vvv3090",fontsize=10,color="white",style="solid",shape="box"];11356 -> 30635[label="",style="solid", color="burlywood", weight=9];
30635 -> 11454[label="",style="solid", color="burlywood", weight=3];
11357[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47500)) vvv309) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30636[label="vvv309/Pos vvv3090",fontsize=10,color="white",style="solid",shape="box"];11357 -> 30636[label="",style="solid", color="burlywood", weight=9];
30636 -> 11455[label="",style="solid", color="burlywood", weight=3];
30637[label="vvv309/Neg vvv3090",fontsize=10,color="white",style="solid",shape="box"];11357 -> 30637[label="",style="solid", color="burlywood", weight=9];
30637 -> 11456[label="",style="solid", color="burlywood", weight=3];
11358[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv309) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30638[label="vvv309/Pos vvv3090",fontsize=10,color="white",style="solid",shape="box"];11358 -> 30638[label="",style="solid", color="burlywood", weight=9];
30638 -> 11457[label="",style="solid", color="burlywood", weight=3];
30639[label="vvv309/Neg vvv3090",fontsize=10,color="white",style="solid",shape="box"];11358 -> 30639[label="",style="solid", color="burlywood", weight=9];
30639 -> 11458[label="",style="solid", color="burlywood", weight=3];
11544 -> 11682[label="",style="dashed", color="red", weight=0];
11544[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (abs (Neg vvv455) `rem` Neg (Succ vvv451) == fromInt (Pos Zero)) (Neg (Succ vvv451)) (abs (Neg vvv455) `rem` Neg (Succ vvv451)))",fontsize=16,color="magenta"];11544 -> 11683[label="",style="dashed", color="magenta", weight=3];
15056[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat (Succ vvv5890) (Succ vvv5900)) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="black",shape="box"];15056 -> 15228[label="",style="solid", color="black", weight=3];
15057[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat (Succ vvv5890) Zero) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="black",shape="box"];15057 -> 15229[label="",style="solid", color="black", weight=3];
15058[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat Zero (Succ vvv5900)) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="black",shape="box"];15058 -> 15230[label="",style="solid", color="black", weight=3];
15059[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat Zero Zero) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="black",shape="box"];15059 -> 15231[label="",style="solid", color="black", weight=3];
7111[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv226) (compare (Neg vvv226) vvv315 /= LT)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg vvv226) (compare (Neg vvv226) vvv315 /= LT)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];7111 -> 7393[label="",style="solid", color="black", weight=3];
7131[label="primQuotInt (Pos vvv71) (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Pos vvv2990) == LT)))",fontsize=16,color="black",shape="box"];7131 -> 7398[label="",style="solid", color="black", weight=3];
7132[label="primQuotInt (Pos vvv71) (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Neg vvv2990) == LT)))",fontsize=16,color="black",shape="box"];7132 -> 7399[label="",style="solid", color="black", weight=3];
7133[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv2990) == LT)))",fontsize=16,color="burlywood",shape="box"];30641[label="vvv2990/Succ vvv29900",fontsize=10,color="white",style="solid",shape="box"];7133 -> 30641[label="",style="solid", color="burlywood", weight=9];
30641 -> 7400[label="",style="solid", color="burlywood", weight=3];
30642[label="vvv2990/Zero",fontsize=10,color="white",style="solid",shape="box"];7133 -> 30642[label="",style="solid", color="burlywood", weight=9];
30642 -> 7401[label="",style="solid", color="burlywood", weight=3];
7134[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv2990) == LT)))",fontsize=16,color="burlywood",shape="box"];30643[label="vvv2990/Succ vvv29900",fontsize=10,color="white",style="solid",shape="box"];7134 -> 30643[label="",style="solid", color="burlywood", weight=9];
30643 -> 7402[label="",style="solid", color="burlywood", weight=3];
30644[label="vvv2990/Zero",fontsize=10,color="white",style="solid",shape="box"];7134 -> 30644[label="",style="solid", color="burlywood", weight=9];
30644 -> 7403[label="",style="solid", color="burlywood", weight=3];
7213[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv220) (not (compare (Pos vvv220) vvv308 == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos vvv220) (not (compare (Pos vvv220) vvv308 == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];7213 -> 7436[label="",style="solid", color="black", weight=3];
11596[label="primRemInt (absReal1 (Pos vvv220) (not (compare (Pos vvv220) vvv476 == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];11596 -> 11804[label="",style="solid", color="black", weight=3];
10842[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv46900)) (Pos vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30645[label="vvv2890/Succ vvv28900",fontsize=10,color="white",style="solid",shape="box"];10842 -> 30645[label="",style="solid", color="burlywood", weight=9];
30645 -> 11002[label="",style="solid", color="burlywood", weight=3];
30646[label="vvv2890/Zero",fontsize=10,color="white",style="solid",shape="box"];10842 -> 30646[label="",style="solid", color="burlywood", weight=9];
30646 -> 11003[label="",style="solid", color="burlywood", weight=3];
10843[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv46900)) (Neg vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];10843 -> 11004[label="",style="solid", color="black", weight=3];
10844[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30647[label="vvv2890/Succ vvv28900",fontsize=10,color="white",style="solid",shape="box"];10844 -> 30647[label="",style="solid", color="burlywood", weight=9];
30647 -> 11005[label="",style="solid", color="burlywood", weight=3];
30648[label="vvv2890/Zero",fontsize=10,color="white",style="solid",shape="box"];10844 -> 30648[label="",style="solid", color="burlywood", weight=9];
30648 -> 11006[label="",style="solid", color="burlywood", weight=3];
10845[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30649[label="vvv2890/Succ vvv28900",fontsize=10,color="white",style="solid",shape="box"];10845 -> 30649[label="",style="solid", color="burlywood", weight=9];
30649 -> 11007[label="",style="solid", color="burlywood", weight=3];
30650[label="vvv2890/Zero",fontsize=10,color="white",style="solid",shape="box"];10845 -> 30650[label="",style="solid", color="burlywood", weight=9];
30650 -> 11008[label="",style="solid", color="burlywood", weight=3];
10846[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv46900)) (Pos vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];10846 -> 11009[label="",style="solid", color="black", weight=3];
10847[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv46900)) (Neg vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30651[label="vvv2890/Succ vvv28900",fontsize=10,color="white",style="solid",shape="box"];10847 -> 30651[label="",style="solid", color="burlywood", weight=9];
30651 -> 11010[label="",style="solid", color="burlywood", weight=3];
30652[label="vvv2890/Zero",fontsize=10,color="white",style="solid",shape="box"];10847 -> 30652[label="",style="solid", color="burlywood", weight=9];
30652 -> 11011[label="",style="solid", color="burlywood", weight=3];
10848[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30653[label="vvv2890/Succ vvv28900",fontsize=10,color="white",style="solid",shape="box"];10848 -> 30653[label="",style="solid", color="burlywood", weight=9];
30653 -> 11012[label="",style="solid", color="burlywood", weight=3];
30654[label="vvv2890/Zero",fontsize=10,color="white",style="solid",shape="box"];10848 -> 30654[label="",style="solid", color="burlywood", weight=9];
30654 -> 11013[label="",style="solid", color="burlywood", weight=3];
10849[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2890)) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30655[label="vvv2890/Succ vvv28900",fontsize=10,color="white",style="solid",shape="box"];10849 -> 30655[label="",style="solid", color="burlywood", weight=9];
30655 -> 11014[label="",style="solid", color="burlywood", weight=3];
30656[label="vvv2890/Zero",fontsize=10,color="white",style="solid",shape="box"];10849 -> 30656[label="",style="solid", color="burlywood", weight=9];
30656 -> 11015[label="",style="solid", color="burlywood", weight=3];
7229 -> 16193[label="",style="dashed", color="red", weight=0];
7229[label="primQuotInt (Pos vvv115) (absReal1 (Pos (Succ vvv2200)) (not (primCmpNat (Succ vvv2200) vvv2910 == LT)))",fontsize=16,color="magenta"];7229 -> 16194[label="",style="dashed", color="magenta", weight=3];
7229 -> 16195[label="",style="dashed", color="magenta", weight=3];
7229 -> 16196[label="",style="dashed", color="magenta", weight=3];
7229 -> 16197[label="",style="dashed", color="magenta", weight=3];
7230[label="primQuotInt (Pos vvv115) (absReal1 (Pos (Succ vvv2200)) (not (GT == LT)))",fontsize=16,color="black",shape="triangle"];7230 -> 7440[label="",style="solid", color="black", weight=3];
7231[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv29100)) == LT)))",fontsize=16,color="black",shape="box"];7231 -> 7441[label="",style="solid", color="black", weight=3];
7232[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT)))",fontsize=16,color="black",shape="box"];7232 -> 7442[label="",style="solid", color="black", weight=3];
7233[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv29100)) == LT)))",fontsize=16,color="black",shape="box"];7233 -> 7443[label="",style="solid", color="black", weight=3];
7234[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT)))",fontsize=16,color="black",shape="box"];7234 -> 7444[label="",style="solid", color="black", weight=3];
11507[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Neg vvv427)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal2 (Neg vvv427)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];11507 -> 11560[label="",style="solid", color="black", weight=3];
11810[label="primRemInt (absReal1 (Neg vvv226) (not (compare (Neg vvv226) vvv483 == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];11810 -> 11998[label="",style="solid", color="black", weight=3];
11246[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47300)) (Pos vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30658[label="vvv2950/Succ vvv29500",fontsize=10,color="white",style="solid",shape="box"];11246 -> 30658[label="",style="solid", color="burlywood", weight=9];
30658 -> 11359[label="",style="solid", color="burlywood", weight=3];
30659[label="vvv2950/Zero",fontsize=10,color="white",style="solid",shape="box"];11246 -> 30659[label="",style="solid", color="burlywood", weight=9];
30659 -> 11360[label="",style="solid", color="burlywood", weight=3];
11247[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47300)) (Neg vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11247 -> 11361[label="",style="solid", color="black", weight=3];
11248[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30660[label="vvv2950/Succ vvv29500",fontsize=10,color="white",style="solid",shape="box"];11248 -> 30660[label="",style="solid", color="burlywood", weight=9];
30660 -> 11362[label="",style="solid", color="burlywood", weight=3];
30661[label="vvv2950/Zero",fontsize=10,color="white",style="solid",shape="box"];11248 -> 30661[label="",style="solid", color="burlywood", weight=9];
30661 -> 11363[label="",style="solid", color="burlywood", weight=3];
11249[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30662[label="vvv2950/Succ vvv29500",fontsize=10,color="white",style="solid",shape="box"];11249 -> 30662[label="",style="solid", color="burlywood", weight=9];
30662 -> 11364[label="",style="solid", color="burlywood", weight=3];
30663[label="vvv2950/Zero",fontsize=10,color="white",style="solid",shape="box"];11249 -> 30663[label="",style="solid", color="burlywood", weight=9];
30663 -> 11365[label="",style="solid", color="burlywood", weight=3];
11250[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47300)) (Pos vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11250 -> 11366[label="",style="solid", color="black", weight=3];
11251[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47300)) (Neg vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30664[label="vvv2950/Succ vvv29500",fontsize=10,color="white",style="solid",shape="box"];11251 -> 30664[label="",style="solid", color="burlywood", weight=9];
30664 -> 11367[label="",style="solid", color="burlywood", weight=3];
30665[label="vvv2950/Zero",fontsize=10,color="white",style="solid",shape="box"];11251 -> 30665[label="",style="solid", color="burlywood", weight=9];
30665 -> 11368[label="",style="solid", color="burlywood", weight=3];
11252[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30666[label="vvv2950/Succ vvv29500",fontsize=10,color="white",style="solid",shape="box"];11252 -> 30666[label="",style="solid", color="burlywood", weight=9];
30666 -> 11369[label="",style="solid", color="burlywood", weight=3];
30667[label="vvv2950/Zero",fontsize=10,color="white",style="solid",shape="box"];11252 -> 30667[label="",style="solid", color="burlywood", weight=9];
30667 -> 11370[label="",style="solid", color="burlywood", weight=3];
11253[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv2950)) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30668[label="vvv2950/Succ vvv29500",fontsize=10,color="white",style="solid",shape="box"];11253 -> 30668[label="",style="solid", color="burlywood", weight=9];
30668 -> 11371[label="",style="solid", color="burlywood", weight=3];
30669[label="vvv2950/Zero",fontsize=10,color="white",style="solid",shape="box"];11253 -> 30669[label="",style="solid", color="burlywood", weight=9];
30669 -> 11372[label="",style="solid", color="burlywood", weight=3];
7271[label="primQuotInt (Neg vvv46) (absReal1 (Neg (Succ vvv2220)) (not (LT == LT)))",fontsize=16,color="black",shape="triangle"];7271 -> 7464[label="",style="solid", color="black", weight=3];
7272 -> 16271[label="",style="dashed", color="red", weight=0];
7272[label="primQuotInt (Neg vvv46) (absReal1 (Neg (Succ vvv2220)) (not (primCmpNat vvv2930 (Succ vvv2220) == LT)))",fontsize=16,color="magenta"];7272 -> 16272[label="",style="dashed", color="magenta", weight=3];
7272 -> 16273[label="",style="dashed", color="magenta", weight=3];
7272 -> 16274[label="",style="dashed", color="magenta", weight=3];
7272 -> 16275[label="",style="dashed", color="magenta", weight=3];
7273[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv29300)) == LT)))",fontsize=16,color="black",shape="box"];7273 -> 7467[label="",style="solid", color="black", weight=3];
7274[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT)))",fontsize=16,color="black",shape="box"];7274 -> 7468[label="",style="solid", color="black", weight=3];
7275[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv29300)) == LT)))",fontsize=16,color="black",shape="box"];7275 -> 7469[label="",style="solid", color="black", weight=3];
7276[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT)))",fontsize=16,color="black",shape="box"];7276 -> 7470[label="",style="solid", color="black", weight=3];
11681[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Pos vvv420)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal2 (Pos vvv420)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];11681 -> 11693[label="",style="solid", color="black", weight=3];
11791[label="primRemInt (absReal1 (Pos vvv220) (not (compare (Pos vvv220) vvv480 == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];11791 -> 11953[label="",style="solid", color="black", weight=3];
10993[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47100)) (Pos vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30671[label="vvv3160/Succ vvv31600",fontsize=10,color="white",style="solid",shape="box"];10993 -> 30671[label="",style="solid", color="burlywood", weight=9];
30671 -> 11255[label="",style="solid", color="burlywood", weight=3];
30672[label="vvv3160/Zero",fontsize=10,color="white",style="solid",shape="box"];10993 -> 30672[label="",style="solid", color="burlywood", weight=9];
30672 -> 11256[label="",style="solid", color="burlywood", weight=3];
10994[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47100)) (Neg vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];10994 -> 11257[label="",style="solid", color="black", weight=3];
10995[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30673[label="vvv3160/Succ vvv31600",fontsize=10,color="white",style="solid",shape="box"];10995 -> 30673[label="",style="solid", color="burlywood", weight=9];
30673 -> 11258[label="",style="solid", color="burlywood", weight=3];
30674[label="vvv3160/Zero",fontsize=10,color="white",style="solid",shape="box"];10995 -> 30674[label="",style="solid", color="burlywood", weight=9];
30674 -> 11259[label="",style="solid", color="burlywood", weight=3];
10996[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30675[label="vvv3160/Succ vvv31600",fontsize=10,color="white",style="solid",shape="box"];10996 -> 30675[label="",style="solid", color="burlywood", weight=9];
30675 -> 11260[label="",style="solid", color="burlywood", weight=3];
30676[label="vvv3160/Zero",fontsize=10,color="white",style="solid",shape="box"];10996 -> 30676[label="",style="solid", color="burlywood", weight=9];
30676 -> 11261[label="",style="solid", color="burlywood", weight=3];
10997[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47100)) (Pos vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];10997 -> 11262[label="",style="solid", color="black", weight=3];
10998[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47100)) (Neg vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30677[label="vvv3160/Succ vvv31600",fontsize=10,color="white",style="solid",shape="box"];10998 -> 30677[label="",style="solid", color="burlywood", weight=9];
30677 -> 11263[label="",style="solid", color="burlywood", weight=3];
30678[label="vvv3160/Zero",fontsize=10,color="white",style="solid",shape="box"];10998 -> 30678[label="",style="solid", color="burlywood", weight=9];
30678 -> 11264[label="",style="solid", color="burlywood", weight=3];
10999[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30679[label="vvv3160/Succ vvv31600",fontsize=10,color="white",style="solid",shape="box"];10999 -> 30679[label="",style="solid", color="burlywood", weight=9];
30679 -> 11265[label="",style="solid", color="burlywood", weight=3];
30680[label="vvv3160/Zero",fontsize=10,color="white",style="solid",shape="box"];10999 -> 30680[label="",style="solid", color="burlywood", weight=9];
30680 -> 11266[label="",style="solid", color="burlywood", weight=3];
11000[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv3160)) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30681[label="vvv3160/Succ vvv31600",fontsize=10,color="white",style="solid",shape="box"];11000 -> 30681[label="",style="solid", color="burlywood", weight=9];
30681 -> 11267[label="",style="solid", color="burlywood", weight=3];
30682[label="vvv3160/Zero",fontsize=10,color="white",style="solid",shape="box"];11000 -> 30682[label="",style="solid", color="burlywood", weight=9];
30682 -> 11268[label="",style="solid", color="burlywood", weight=3];
7319[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Pos vvv224)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal2 (Pos vvv224)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];7319 -> 7511[label="",style="solid", color="black", weight=3];
11553[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Pos vvv441)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal2 (Pos vvv441)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];11553 -> 11699[label="",style="solid", color="black", weight=3];
7339 -> 16460[label="",style="dashed", color="red", weight=0];
7339[label="primQuotInt (Neg vvv51) (absReal1 (Pos (Succ vvv2240)) (not (primCmpNat (Succ vvv2240) vvv2960 == LT)))",fontsize=16,color="magenta"];7339 -> 16461[label="",style="dashed", color="magenta", weight=3];
7339 -> 16462[label="",style="dashed", color="magenta", weight=3];
7339 -> 16463[label="",style="dashed", color="magenta", weight=3];
7339 -> 16464[label="",style="dashed", color="magenta", weight=3];
7340[label="primQuotInt (Neg vvv51) (absReal1 (Pos (Succ vvv2240)) (not (GT == LT)))",fontsize=16,color="black",shape="triangle"];7340 -> 7530[label="",style="solid", color="black", weight=3];
7341[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv29600)) == LT)))",fontsize=16,color="black",shape="box"];7341 -> 7531[label="",style="solid", color="black", weight=3];
7342[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT)))",fontsize=16,color="black",shape="box"];7342 -> 7532[label="",style="solid", color="black", weight=3];
7343[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv29600)) == LT)))",fontsize=16,color="black",shape="box"];7343 -> 7533[label="",style="solid", color="black", weight=3];
7344[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT)))",fontsize=16,color="black",shape="box"];7344 -> 7534[label="",style="solid", color="black", weight=3];
7356[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv222) (not (compare (Neg vvv222) vvv313 == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg vvv222) (not (compare (Neg vvv222) vvv313 == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];7356 -> 7554[label="",style="solid", color="black", weight=3];
11803[label="primRemInt (absReal1 (Neg vvv226) (not (compare (Neg vvv226) vvv482 == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];11803 -> 11965[label="",style="solid", color="black", weight=3];
11451[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47500)) (Pos vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30684[label="vvv3090/Succ vvv30900",fontsize=10,color="white",style="solid",shape="box"];11451 -> 30684[label="",style="solid", color="burlywood", weight=9];
30684 -> 11520[label="",style="solid", color="burlywood", weight=3];
30685[label="vvv3090/Zero",fontsize=10,color="white",style="solid",shape="box"];11451 -> 30685[label="",style="solid", color="burlywood", weight=9];
30685 -> 11521[label="",style="solid", color="burlywood", weight=3];
11452[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47500)) (Neg vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11452 -> 11522[label="",style="solid", color="black", weight=3];
11453[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30686[label="vvv3090/Succ vvv30900",fontsize=10,color="white",style="solid",shape="box"];11453 -> 30686[label="",style="solid", color="burlywood", weight=9];
30686 -> 11523[label="",style="solid", color="burlywood", weight=3];
30687[label="vvv3090/Zero",fontsize=10,color="white",style="solid",shape="box"];11453 -> 30687[label="",style="solid", color="burlywood", weight=9];
30687 -> 11524[label="",style="solid", color="burlywood", weight=3];
11454[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30688[label="vvv3090/Succ vvv30900",fontsize=10,color="white",style="solid",shape="box"];11454 -> 30688[label="",style="solid", color="burlywood", weight=9];
30688 -> 11525[label="",style="solid", color="burlywood", weight=3];
30689[label="vvv3090/Zero",fontsize=10,color="white",style="solid",shape="box"];11454 -> 30689[label="",style="solid", color="burlywood", weight=9];
30689 -> 11526[label="",style="solid", color="burlywood", weight=3];
11455[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47500)) (Pos vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11455 -> 11527[label="",style="solid", color="black", weight=3];
11456[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47500)) (Neg vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30690[label="vvv3090/Succ vvv30900",fontsize=10,color="white",style="solid",shape="box"];11456 -> 30690[label="",style="solid", color="burlywood", weight=9];
30690 -> 11528[label="",style="solid", color="burlywood", weight=3];
30691[label="vvv3090/Zero",fontsize=10,color="white",style="solid",shape="box"];11456 -> 30691[label="",style="solid", color="burlywood", weight=9];
30691 -> 11529[label="",style="solid", color="burlywood", weight=3];
11457[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30692[label="vvv3090/Succ vvv30900",fontsize=10,color="white",style="solid",shape="box"];11457 -> 30692[label="",style="solid", color="burlywood", weight=9];
30692 -> 11530[label="",style="solid", color="burlywood", weight=3];
30693[label="vvv3090/Zero",fontsize=10,color="white",style="solid",shape="box"];11457 -> 30693[label="",style="solid", color="burlywood", weight=9];
30693 -> 11531[label="",style="solid", color="burlywood", weight=3];
11458[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv3090)) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30694[label="vvv3090/Succ vvv30900",fontsize=10,color="white",style="solid",shape="box"];11458 -> 30694[label="",style="solid", color="burlywood", weight=9];
30694 -> 11532[label="",style="solid", color="burlywood", weight=3];
30695[label="vvv3090/Zero",fontsize=10,color="white",style="solid",shape="box"];11458 -> 30695[label="",style="solid", color="burlywood", weight=9];
30695 -> 11533[label="",style="solid", color="burlywood", weight=3];
11683 -> 15[label="",style="dashed", color="red", weight=0];
11683[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11682[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (abs (Neg vvv455) `rem` Neg (Succ vvv451) == vvv490) (Neg (Succ vvv451)) (abs (Neg vvv455) `rem` Neg (Succ vvv451)))",fontsize=16,color="black",shape="triangle"];11682 -> 11704[label="",style="solid", color="black", weight=3];
15228 -> 14915[label="",style="dashed", color="red", weight=0];
15228[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 (primEqNat vvv5890 vvv5900) (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="magenta"];15228 -> 15267[label="",style="dashed", color="magenta", weight=3];
15228 -> 15268[label="",style="dashed", color="magenta", weight=3];
15229 -> 11327[label="",style="dashed", color="red", weight=0];
15229[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 False (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="magenta"];15229 -> 15269[label="",style="dashed", color="magenta", weight=3];
15229 -> 15270[label="",style="dashed", color="magenta", weight=3];
15229 -> 15271[label="",style="dashed", color="magenta", weight=3];
15230 -> 11327[label="",style="dashed", color="red", weight=0];
15230[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 False (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="magenta"];15230 -> 15272[label="",style="dashed", color="magenta", weight=3];
15230 -> 15273[label="",style="dashed", color="magenta", weight=3];
15230 -> 15274[label="",style="dashed", color="magenta", weight=3];
15231[label="primQuotInt (Pos vvv588) (gcd0Gcd'1 True (abs (Neg vvv591)) (Neg (Succ vvv592)))",fontsize=16,color="black",shape="box"];15231 -> 15275[label="",style="solid", color="black", weight=3];
7393[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv226) (not (compare (Neg vvv226) vvv315 == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg vvv226) (not (compare (Neg vvv226) vvv315 == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];7393 -> 7592[label="",style="solid", color="black", weight=3];
7398[label="primQuotInt (Pos vvv71) (absReal1 (Neg (Succ vvv2260)) (not (LT == LT)))",fontsize=16,color="black",shape="triangle"];7398 -> 7595[label="",style="solid", color="black", weight=3];
7399 -> 16562[label="",style="dashed", color="red", weight=0];
7399[label="primQuotInt (Pos vvv71) (absReal1 (Neg (Succ vvv2260)) (not (primCmpNat vvv2990 (Succ vvv2260) == LT)))",fontsize=16,color="magenta"];7399 -> 16563[label="",style="dashed", color="magenta", weight=3];
7399 -> 16564[label="",style="dashed", color="magenta", weight=3];
7399 -> 16565[label="",style="dashed", color="magenta", weight=3];
7399 -> 16566[label="",style="dashed", color="magenta", weight=3];
7400[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv29900)) == LT)))",fontsize=16,color="black",shape="box"];7400 -> 7598[label="",style="solid", color="black", weight=3];
7401[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT)))",fontsize=16,color="black",shape="box"];7401 -> 7599[label="",style="solid", color="black", weight=3];
7402[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv29900)) == LT)))",fontsize=16,color="black",shape="box"];7402 -> 7600[label="",style="solid", color="black", weight=3];
7403[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT)))",fontsize=16,color="black",shape="box"];7403 -> 7601[label="",style="solid", color="black", weight=3];
7436[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv220) (not (primCmpInt (Pos vvv220) vvv308 == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos vvv220) (not (primCmpInt (Pos vvv220) vvv308 == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="burlywood",shape="box"];30701[label="vvv220/Succ vvv2200",fontsize=10,color="white",style="solid",shape="box"];7436 -> 30701[label="",style="solid", color="burlywood", weight=9];
30701 -> 7618[label="",style="solid", color="burlywood", weight=3];
30702[label="vvv220/Zero",fontsize=10,color="white",style="solid",shape="box"];7436 -> 30702[label="",style="solid", color="burlywood", weight=9];
30702 -> 7619[label="",style="solid", color="burlywood", weight=3];
11804[label="primRemInt (absReal1 (Pos vvv220) (not (primCmpInt (Pos vvv220) vvv476 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30703[label="vvv220/Succ vvv2200",fontsize=10,color="white",style="solid",shape="box"];11804 -> 30703[label="",style="solid", color="burlywood", weight=9];
30703 -> 11966[label="",style="solid", color="burlywood", weight=3];
30704[label="vvv220/Zero",fontsize=10,color="white",style="solid",shape="box"];11804 -> 30704[label="",style="solid", color="burlywood", weight=9];
30704 -> 11967[label="",style="solid", color="burlywood", weight=3];
11002[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv46900)) (Pos (Succ vvv28900))) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11002 -> 11373[label="",style="solid", color="black", weight=3];
11003[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv46900)) (Pos Zero)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11003 -> 11374[label="",style="solid", color="black", weight=3];
11004[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="black",shape="triangle"];11004 -> 11375[label="",style="solid", color="black", weight=3];
11005[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv28900))) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11005 -> 11376[label="",style="solid", color="black", weight=3];
11006[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11006 -> 11377[label="",style="solid", color="black", weight=3];
11007[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv28900))) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11007 -> 11378[label="",style="solid", color="black", weight=3];
11008[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11008 -> 11379[label="",style="solid", color="black", weight=3];
11009 -> 11004[label="",style="dashed", color="red", weight=0];
11009[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11010[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv46900)) (Neg (Succ vvv28900))) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11010 -> 11380[label="",style="solid", color="black", weight=3];
11011[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv46900)) (Neg Zero)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11011 -> 11381[label="",style="solid", color="black", weight=3];
11012[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv28900))) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11012 -> 11382[label="",style="solid", color="black", weight=3];
11013[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11013 -> 11383[label="",style="solid", color="black", weight=3];
11014[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv28900))) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11014 -> 11384[label="",style="solid", color="black", weight=3];
11015[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11015 -> 11385[label="",style="solid", color="black", weight=3];
16194[label="Succ vvv2200",fontsize=16,color="green",shape="box"];16195[label="vvv2910",fontsize=16,color="green",shape="box"];16196[label="vvv115",fontsize=16,color="green",shape="box"];16197[label="vvv2200",fontsize=16,color="green",shape="box"];16193[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat vvv633 vvv634 == LT)))",fontsize=16,color="burlywood",shape="triangle"];30706[label="vvv633/Succ vvv6330",fontsize=10,color="white",style="solid",shape="box"];16193 -> 30706[label="",style="solid", color="burlywood", weight=9];
30706 -> 16234[label="",style="solid", color="burlywood", weight=3];
30707[label="vvv633/Zero",fontsize=10,color="white",style="solid",shape="box"];16193 -> 30707[label="",style="solid", color="burlywood", weight=9];
30707 -> 16235[label="",style="solid", color="burlywood", weight=3];
7440[label="primQuotInt (Pos vvv115) (absReal1 (Pos (Succ vvv2200)) (not False))",fontsize=16,color="black",shape="triangle"];7440 -> 7623[label="",style="solid", color="black", weight=3];
7441[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv29100) == LT)))",fontsize=16,color="black",shape="box"];7441 -> 7624[label="",style="solid", color="black", weight=3];
7442[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (EQ == LT)))",fontsize=16,color="black",shape="triangle"];7442 -> 7625[label="",style="solid", color="black", weight=3];
7443[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (GT == LT)))",fontsize=16,color="black",shape="box"];7443 -> 7626[label="",style="solid", color="black", weight=3];
7444 -> 7442[label="",style="dashed", color="red", weight=0];
7444[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (EQ == LT)))",fontsize=16,color="magenta"];11560 -> 11705[label="",style="dashed", color="red", weight=0];
11560[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv427) (Neg vvv427 >= fromInt (Pos Zero))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg vvv427) (Neg vvv427 >= fromInt (Pos Zero))) (Neg (Succ vvv423))))",fontsize=16,color="magenta"];11560 -> 11706[label="",style="dashed", color="magenta", weight=3];
11560 -> 11707[label="",style="dashed", color="magenta", weight=3];
11998[label="primRemInt (absReal1 (Neg vvv226) (not (primCmpInt (Neg vvv226) vvv483 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30710[label="vvv226/Succ vvv2260",fontsize=10,color="white",style="solid",shape="box"];11998 -> 30710[label="",style="solid", color="burlywood", weight=9];
30710 -> 12070[label="",style="solid", color="burlywood", weight=3];
30711[label="vvv226/Zero",fontsize=10,color="white",style="solid",shape="box"];11998 -> 30711[label="",style="solid", color="burlywood", weight=9];
30711 -> 12071[label="",style="solid", color="burlywood", weight=3];
11359[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47300)) (Pos (Succ vvv29500))) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11359 -> 11459[label="",style="solid", color="black", weight=3];
11360[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47300)) (Pos Zero)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11360 -> 11460[label="",style="solid", color="black", weight=3];
11361[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="black",shape="triangle"];11361 -> 11461[label="",style="solid", color="black", weight=3];
11362[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv29500))) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11362 -> 11462[label="",style="solid", color="black", weight=3];
11363[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11363 -> 11463[label="",style="solid", color="black", weight=3];
11364[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv29500))) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11364 -> 11464[label="",style="solid", color="black", weight=3];
11365[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11365 -> 11465[label="",style="solid", color="black", weight=3];
11366 -> 11361[label="",style="dashed", color="red", weight=0];
11366[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11367[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47300)) (Neg (Succ vvv29500))) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11367 -> 11466[label="",style="solid", color="black", weight=3];
11368[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47300)) (Neg Zero)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11368 -> 11467[label="",style="solid", color="black", weight=3];
11369[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv29500))) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11369 -> 11468[label="",style="solid", color="black", weight=3];
11370[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11370 -> 11469[label="",style="solid", color="black", weight=3];
11371[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv29500))) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11371 -> 11470[label="",style="solid", color="black", weight=3];
11372[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11372 -> 11471[label="",style="solid", color="black", weight=3];
7464[label="primQuotInt (Neg vvv46) (absReal1 (Neg (Succ vvv2220)) (not True))",fontsize=16,color="black",shape="box"];7464 -> 7646[label="",style="solid", color="black", weight=3];
16272[label="vvv46",fontsize=16,color="green",shape="box"];16273[label="vvv2220",fontsize=16,color="green",shape="box"];16274[label="Succ vvv2220",fontsize=16,color="green",shape="box"];16275[label="vvv2930",fontsize=16,color="green",shape="box"];16271[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat vvv640 vvv641 == LT)))",fontsize=16,color="burlywood",shape="triangle"];30713[label="vvv640/Succ vvv6400",fontsize=10,color="white",style="solid",shape="box"];16271 -> 30713[label="",style="solid", color="burlywood", weight=9];
30713 -> 16312[label="",style="solid", color="burlywood", weight=3];
30714[label="vvv640/Zero",fontsize=10,color="white",style="solid",shape="box"];16271 -> 30714[label="",style="solid", color="burlywood", weight=9];
30714 -> 16313[label="",style="solid", color="burlywood", weight=3];
7467[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (LT == LT)))",fontsize=16,color="black",shape="box"];7467 -> 7649[label="",style="solid", color="black", weight=3];
7468[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (EQ == LT)))",fontsize=16,color="black",shape="triangle"];7468 -> 7650[label="",style="solid", color="black", weight=3];
7469[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv29300) Zero == LT)))",fontsize=16,color="black",shape="box"];7469 -> 7651[label="",style="solid", color="black", weight=3];
7470 -> 7468[label="",style="dashed", color="red", weight=0];
7470[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (EQ == LT)))",fontsize=16,color="magenta"];11693 -> 11723[label="",style="dashed", color="red", weight=0];
11693[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv420) (Pos vvv420 >= fromInt (Pos Zero))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos vvv420) (Pos vvv420 >= fromInt (Pos Zero))) (Neg (Succ vvv416))))",fontsize=16,color="magenta"];11693 -> 11724[label="",style="dashed", color="magenta", weight=3];
11693 -> 11725[label="",style="dashed", color="magenta", weight=3];
11953[label="primRemInt (absReal1 (Pos vvv220) (not (primCmpInt (Pos vvv220) vvv480 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30717[label="vvv220/Succ vvv2200",fontsize=10,color="white",style="solid",shape="box"];11953 -> 30717[label="",style="solid", color="burlywood", weight=9];
30717 -> 12017[label="",style="solid", color="burlywood", weight=3];
30718[label="vvv220/Zero",fontsize=10,color="white",style="solid",shape="box"];11953 -> 30718[label="",style="solid", color="burlywood", weight=9];
30718 -> 12018[label="",style="solid", color="burlywood", weight=3];
11255[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47100)) (Pos (Succ vvv31600))) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11255 -> 11472[label="",style="solid", color="black", weight=3];
11256[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47100)) (Pos Zero)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11256 -> 11473[label="",style="solid", color="black", weight=3];
11257[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="black",shape="triangle"];11257 -> 11474[label="",style="solid", color="black", weight=3];
11258[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv31600))) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11258 -> 11475[label="",style="solid", color="black", weight=3];
11259[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11259 -> 11476[label="",style="solid", color="black", weight=3];
11260[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv31600))) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11260 -> 11477[label="",style="solid", color="black", weight=3];
11261[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11261 -> 11478[label="",style="solid", color="black", weight=3];
11262 -> 11257[label="",style="dashed", color="red", weight=0];
11262[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11263[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47100)) (Neg (Succ vvv31600))) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11263 -> 11479[label="",style="solid", color="black", weight=3];
11264[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47100)) (Neg Zero)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11264 -> 11480[label="",style="solid", color="black", weight=3];
11265[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv31600))) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11265 -> 11481[label="",style="solid", color="black", weight=3];
11266[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11266 -> 11482[label="",style="solid", color="black", weight=3];
11267[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv31600))) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11267 -> 11483[label="",style="solid", color="black", weight=3];
11268[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11268 -> 11484[label="",style="solid", color="black", weight=3];
7511 -> 7691[label="",style="dashed", color="red", weight=0];
7511[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv224) (Pos vvv224 >= fromInt (Pos Zero))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos vvv224) (Pos vvv224 >= fromInt (Pos Zero))) (Pos (Succ vvv520))))",fontsize=16,color="magenta"];7511 -> 7692[label="",style="dashed", color="magenta", weight=3];
7511 -> 7693[label="",style="dashed", color="magenta", weight=3];
11699 -> 11750[label="",style="dashed", color="red", weight=0];
11699[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv441) (Pos vvv441 >= fromInt (Pos Zero))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos vvv441) (Pos vvv441 >= fromInt (Pos Zero))) (Neg (Succ vvv437))))",fontsize=16,color="magenta"];11699 -> 11751[label="",style="dashed", color="magenta", weight=3];
11699 -> 11752[label="",style="dashed", color="magenta", weight=3];
16461[label="vvv51",fontsize=16,color="green",shape="box"];16462[label="vvv2240",fontsize=16,color="green",shape="box"];16463[label="vvv2960",fontsize=16,color="green",shape="box"];16464[label="Succ vvv2240",fontsize=16,color="green",shape="box"];16460[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat vvv654 vvv655 == LT)))",fontsize=16,color="burlywood",shape="triangle"];30722[label="vvv654/Succ vvv6540",fontsize=10,color="white",style="solid",shape="box"];16460 -> 30722[label="",style="solid", color="burlywood", weight=9];
30722 -> 16501[label="",style="solid", color="burlywood", weight=3];
30723[label="vvv654/Zero",fontsize=10,color="white",style="solid",shape="box"];16460 -> 30723[label="",style="solid", color="burlywood", weight=9];
30723 -> 16502[label="",style="solid", color="burlywood", weight=3];
7530[label="primQuotInt (Neg vvv51) (absReal1 (Pos (Succ vvv2240)) (not False))",fontsize=16,color="black",shape="triangle"];7530 -> 7712[label="",style="solid", color="black", weight=3];
7531[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv29600) == LT)))",fontsize=16,color="black",shape="box"];7531 -> 7713[label="",style="solid", color="black", weight=3];
7532[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (EQ == LT)))",fontsize=16,color="black",shape="triangle"];7532 -> 7714[label="",style="solid", color="black", weight=3];
7533[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (GT == LT)))",fontsize=16,color="black",shape="box"];7533 -> 7715[label="",style="solid", color="black", weight=3];
7534 -> 7532[label="",style="dashed", color="red", weight=0];
7534[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (EQ == LT)))",fontsize=16,color="magenta"];7554[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv222) (not (primCmpInt (Neg vvv222) vvv313 == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg vvv222) (not (primCmpInt (Neg vvv222) vvv313 == LT))) (Pos (Succ vvv470))))",fontsize=16,color="burlywood",shape="box"];30725[label="vvv222/Succ vvv2220",fontsize=10,color="white",style="solid",shape="box"];7554 -> 30725[label="",style="solid", color="burlywood", weight=9];
30725 -> 7728[label="",style="solid", color="burlywood", weight=3];
30726[label="vvv222/Zero",fontsize=10,color="white",style="solid",shape="box"];7554 -> 30726[label="",style="solid", color="burlywood", weight=9];
30726 -> 7729[label="",style="solid", color="burlywood", weight=3];
11965[label="primRemInt (absReal1 (Neg vvv226) (not (primCmpInt (Neg vvv226) vvv482 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30727[label="vvv226/Succ vvv2260",fontsize=10,color="white",style="solid",shape="box"];11965 -> 30727[label="",style="solid", color="burlywood", weight=9];
30727 -> 12055[label="",style="solid", color="burlywood", weight=3];
30728[label="vvv226/Zero",fontsize=10,color="white",style="solid",shape="box"];11965 -> 30728[label="",style="solid", color="burlywood", weight=9];
30728 -> 12056[label="",style="solid", color="burlywood", weight=3];
11520[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47500)) (Pos (Succ vvv30900))) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11520 -> 11569[label="",style="solid", color="black", weight=3];
11521[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv47500)) (Pos Zero)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11521 -> 11570[label="",style="solid", color="black", weight=3];
11522[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="black",shape="triangle"];11522 -> 11571[label="",style="solid", color="black", weight=3];
11523[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv30900))) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11523 -> 11572[label="",style="solid", color="black", weight=3];
11524[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11524 -> 11573[label="",style="solid", color="black", weight=3];
11525[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv30900))) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11525 -> 11574[label="",style="solid", color="black", weight=3];
11526[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11526 -> 11575[label="",style="solid", color="black", weight=3];
11527 -> 11522[label="",style="dashed", color="red", weight=0];
11527[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11528[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47500)) (Neg (Succ vvv30900))) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11528 -> 11576[label="",style="solid", color="black", weight=3];
11529[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv47500)) (Neg Zero)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11529 -> 11577[label="",style="solid", color="black", weight=3];
11530[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv30900))) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11530 -> 11578[label="",style="solid", color="black", weight=3];
11531[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11531 -> 11579[label="",style="solid", color="black", weight=3];
11532[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv30900))) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11532 -> 11580[label="",style="solid", color="black", weight=3];
11533[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11533 -> 11581[label="",style="solid", color="black", weight=3];
11704[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (abs (Neg vvv455) `rem` Neg (Succ vvv451)) vvv490) (Neg (Succ vvv451)) (abs (Neg vvv455) `rem` Neg (Succ vvv451)))",fontsize=16,color="black",shape="box"];11704 -> 11766[label="",style="solid", color="black", weight=3];
15267[label="vvv5890",fontsize=16,color="green",shape="box"];15268[label="vvv5900",fontsize=16,color="green",shape="box"];15269[label="vvv591",fontsize=16,color="green",shape="box"];15270[label="vvv588",fontsize=16,color="green",shape="box"];15271[label="vvv592",fontsize=16,color="green",shape="box"];15272[label="vvv591",fontsize=16,color="green",shape="box"];15273[label="vvv588",fontsize=16,color="green",shape="box"];15274[label="vvv592",fontsize=16,color="green",shape="box"];15275 -> 4927[label="",style="dashed", color="red", weight=0];
15275[label="primQuotInt (Pos vvv588) (abs (Neg vvv591))",fontsize=16,color="magenta"];15275 -> 15410[label="",style="dashed", color="magenta", weight=3];
15275 -> 15411[label="",style="dashed", color="magenta", weight=3];
7592[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv226) (not (primCmpInt (Neg vvv226) vvv315 == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg vvv226) (not (primCmpInt (Neg vvv226) vvv315 == LT))) (Pos (Succ vvv720))))",fontsize=16,color="burlywood",shape="box"];30731[label="vvv226/Succ vvv2260",fontsize=10,color="white",style="solid",shape="box"];7592 -> 30731[label="",style="solid", color="burlywood", weight=9];
30731 -> 7771[label="",style="solid", color="burlywood", weight=3];
30732[label="vvv226/Zero",fontsize=10,color="white",style="solid",shape="box"];7592 -> 30732[label="",style="solid", color="burlywood", weight=9];
30732 -> 7772[label="",style="solid", color="burlywood", weight=3];
7595[label="primQuotInt (Pos vvv71) (absReal1 (Neg (Succ vvv2260)) (not True))",fontsize=16,color="black",shape="box"];7595 -> 7775[label="",style="solid", color="black", weight=3];
16563[label="vvv71",fontsize=16,color="green",shape="box"];16564[label="vvv2260",fontsize=16,color="green",shape="box"];16565[label="Succ vvv2260",fontsize=16,color="green",shape="box"];16566[label="vvv2990",fontsize=16,color="green",shape="box"];16562[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat vvv659 vvv660 == LT)))",fontsize=16,color="burlywood",shape="triangle"];30733[label="vvv659/Succ vvv6590",fontsize=10,color="white",style="solid",shape="box"];16562 -> 30733[label="",style="solid", color="burlywood", weight=9];
30733 -> 16603[label="",style="solid", color="burlywood", weight=3];
30734[label="vvv659/Zero",fontsize=10,color="white",style="solid",shape="box"];16562 -> 30734[label="",style="solid", color="burlywood", weight=9];
30734 -> 16604[label="",style="solid", color="burlywood", weight=3];
7598[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (LT == LT)))",fontsize=16,color="black",shape="box"];7598 -> 7778[label="",style="solid", color="black", weight=3];
7599[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (EQ == LT)))",fontsize=16,color="black",shape="triangle"];7599 -> 7779[label="",style="solid", color="black", weight=3];
7600[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv29900) Zero == LT)))",fontsize=16,color="black",shape="box"];7600 -> 7780[label="",style="solid", color="black", weight=3];
7601 -> 7599[label="",style="dashed", color="red", weight=0];
7601[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (EQ == LT)))",fontsize=16,color="magenta"];7618[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) vvv308 == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) vvv308 == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="burlywood",shape="box"];30736[label="vvv308/Pos vvv3080",fontsize=10,color="white",style="solid",shape="box"];7618 -> 30736[label="",style="solid", color="burlywood", weight=9];
30736 -> 7798[label="",style="solid", color="burlywood", weight=3];
30737[label="vvv308/Neg vvv3080",fontsize=10,color="white",style="solid",shape="box"];7618 -> 30737[label="",style="solid", color="burlywood", weight=9];
30737 -> 7799[label="",style="solid", color="burlywood", weight=3];
7619[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv308 == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv308 == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="burlywood",shape="box"];30738[label="vvv308/Pos vvv3080",fontsize=10,color="white",style="solid",shape="box"];7619 -> 30738[label="",style="solid", color="burlywood", weight=9];
30738 -> 7800[label="",style="solid", color="burlywood", weight=3];
30739[label="vvv308/Neg vvv3080",fontsize=10,color="white",style="solid",shape="box"];7619 -> 30739[label="",style="solid", color="burlywood", weight=9];
30739 -> 7801[label="",style="solid", color="burlywood", weight=3];
11966[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) vvv476 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30740[label="vvv476/Pos vvv4760",fontsize=10,color="white",style="solid",shape="box"];11966 -> 30740[label="",style="solid", color="burlywood", weight=9];
30740 -> 12057[label="",style="solid", color="burlywood", weight=3];
30741[label="vvv476/Neg vvv4760",fontsize=10,color="white",style="solid",shape="box"];11966 -> 30741[label="",style="solid", color="burlywood", weight=9];
30741 -> 12058[label="",style="solid", color="burlywood", weight=3];
11967[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv476 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30742[label="vvv476/Pos vvv4760",fontsize=10,color="white",style="solid",shape="box"];11967 -> 30742[label="",style="solid", color="burlywood", weight=9];
30742 -> 12059[label="",style="solid", color="burlywood", weight=3];
30743[label="vvv476/Neg vvv4760",fontsize=10,color="white",style="solid",shape="box"];11967 -> 30743[label="",style="solid", color="burlywood", weight=9];
30743 -> 12060[label="",style="solid", color="burlywood", weight=3];
11373[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat vvv46900 vvv28900) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="triangle"];30744[label="vvv46900/Succ vvv469000",fontsize=10,color="white",style="solid",shape="box"];11373 -> 30744[label="",style="solid", color="burlywood", weight=9];
30744 -> 11535[label="",style="solid", color="burlywood", weight=3];
30745[label="vvv46900/Zero",fontsize=10,color="white",style="solid",shape="box"];11373 -> 30745[label="",style="solid", color="burlywood", weight=9];
30745 -> 11536[label="",style="solid", color="burlywood", weight=3];
11374 -> 11004[label="",style="dashed", color="red", weight=0];
11374[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11375[label="primQuotInt (Pos vvv115) (gcd0Gcd'0 (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11375 -> 11537[label="",style="solid", color="black", weight=3];
11376 -> 11004[label="",style="dashed", color="red", weight=0];
11376[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11377[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Pos Zero) vvv468)",fontsize=16,color="black",shape="triangle"];11377 -> 11538[label="",style="solid", color="black", weight=3];
11378 -> 11004[label="",style="dashed", color="red", weight=0];
11378[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11379 -> 11377[label="",style="dashed", color="red", weight=0];
11379[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Pos Zero) vvv468)",fontsize=16,color="magenta"];11380 -> 11373[label="",style="dashed", color="red", weight=0];
11380[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat vvv46900 vvv28900) (Pos Zero) vvv468)",fontsize=16,color="magenta"];11380 -> 11539[label="",style="dashed", color="magenta", weight=3];
11380 -> 11540[label="",style="dashed", color="magenta", weight=3];
11381 -> 11004[label="",style="dashed", color="red", weight=0];
11381[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11382 -> 11004[label="",style="dashed", color="red", weight=0];
11382[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11383 -> 11377[label="",style="dashed", color="red", weight=0];
11383[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Pos Zero) vvv468)",fontsize=16,color="magenta"];11384 -> 11004[label="",style="dashed", color="red", weight=0];
11384[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11385 -> 11377[label="",style="dashed", color="red", weight=0];
11385[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Pos Zero) vvv468)",fontsize=16,color="magenta"];16234[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat (Succ vvv6330) vvv634 == LT)))",fontsize=16,color="burlywood",shape="box"];30756[label="vvv634/Succ vvv6340",fontsize=10,color="white",style="solid",shape="box"];16234 -> 30756[label="",style="solid", color="burlywood", weight=9];
30756 -> 16258[label="",style="solid", color="burlywood", weight=3];
30757[label="vvv634/Zero",fontsize=10,color="white",style="solid",shape="box"];16234 -> 30757[label="",style="solid", color="burlywood", weight=9];
30757 -> 16259[label="",style="solid", color="burlywood", weight=3];
16235[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat Zero vvv634 == LT)))",fontsize=16,color="burlywood",shape="box"];30758[label="vvv634/Succ vvv6340",fontsize=10,color="white",style="solid",shape="box"];16235 -> 30758[label="",style="solid", color="burlywood", weight=9];
30758 -> 16260[label="",style="solid", color="burlywood", weight=3];
30759[label="vvv634/Zero",fontsize=10,color="white",style="solid",shape="box"];16235 -> 30759[label="",style="solid", color="burlywood", weight=9];
30759 -> 16261[label="",style="solid", color="burlywood", weight=3];
7623[label="primQuotInt (Pos vvv115) (absReal1 (Pos (Succ vvv2200)) True)",fontsize=16,color="black",shape="box"];7623 -> 7805[label="",style="solid", color="black", weight=3];
7624[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not (LT == LT)))",fontsize=16,color="black",shape="box"];7624 -> 7806[label="",style="solid", color="black", weight=3];
7625[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not False))",fontsize=16,color="black",shape="triangle"];7625 -> 7807[label="",style="solid", color="black", weight=3];
7626 -> 7625[label="",style="dashed", color="red", weight=0];
7626[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not False))",fontsize=16,color="magenta"];11706 -> 15[label="",style="dashed", color="red", weight=0];
11706[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11707 -> 15[label="",style="dashed", color="red", weight=0];
11707[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11705[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv427) (Neg vvv427 >= vvv492)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg vvv427) (Neg vvv427 >= vvv491)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="triangle"];11705 -> 11771[label="",style="solid", color="black", weight=3];
12070[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) vvv483 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30763[label="vvv483/Pos vvv4830",fontsize=10,color="white",style="solid",shape="box"];12070 -> 30763[label="",style="solid", color="burlywood", weight=9];
30763 -> 12195[label="",style="solid", color="burlywood", weight=3];
30764[label="vvv483/Neg vvv4830",fontsize=10,color="white",style="solid",shape="box"];12070 -> 30764[label="",style="solid", color="burlywood", weight=9];
30764 -> 12196[label="",style="solid", color="burlywood", weight=3];
12071[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv483 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30765[label="vvv483/Pos vvv4830",fontsize=10,color="white",style="solid",shape="box"];12071 -> 30765[label="",style="solid", color="burlywood", weight=9];
30765 -> 12197[label="",style="solid", color="burlywood", weight=3];
30766[label="vvv483/Neg vvv4830",fontsize=10,color="white",style="solid",shape="box"];12071 -> 30766[label="",style="solid", color="burlywood", weight=9];
30766 -> 12198[label="",style="solid", color="burlywood", weight=3];
11459[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat vvv47300 vvv29500) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="triangle"];30767[label="vvv47300/Succ vvv473000",fontsize=10,color="white",style="solid",shape="box"];11459 -> 30767[label="",style="solid", color="burlywood", weight=9];
30767 -> 11582[label="",style="solid", color="burlywood", weight=3];
30768[label="vvv47300/Zero",fontsize=10,color="white",style="solid",shape="box"];11459 -> 30768[label="",style="solid", color="burlywood", weight=9];
30768 -> 11583[label="",style="solid", color="burlywood", weight=3];
11460 -> 11361[label="",style="dashed", color="red", weight=0];
11460[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11461[label="primQuotInt (Neg vvv51) (gcd0Gcd'0 (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11461 -> 11584[label="",style="solid", color="black", weight=3];
11462 -> 11361[label="",style="dashed", color="red", weight=0];
11462[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11463[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (Neg Zero) vvv472)",fontsize=16,color="black",shape="triangle"];11463 -> 11585[label="",style="solid", color="black", weight=3];
11464 -> 11361[label="",style="dashed", color="red", weight=0];
11464[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11465 -> 11463[label="",style="dashed", color="red", weight=0];
11465[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (Neg Zero) vvv472)",fontsize=16,color="magenta"];11466 -> 11459[label="",style="dashed", color="red", weight=0];
11466[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat vvv47300 vvv29500) (Neg Zero) vvv472)",fontsize=16,color="magenta"];11466 -> 11586[label="",style="dashed", color="magenta", weight=3];
11466 -> 11587[label="",style="dashed", color="magenta", weight=3];
11467 -> 11361[label="",style="dashed", color="red", weight=0];
11467[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11468 -> 11361[label="",style="dashed", color="red", weight=0];
11468[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11469 -> 11463[label="",style="dashed", color="red", weight=0];
11469[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (Neg Zero) vvv472)",fontsize=16,color="magenta"];11470 -> 11361[label="",style="dashed", color="red", weight=0];
11470[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11471 -> 11463[label="",style="dashed", color="red", weight=0];
11471[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (Neg Zero) vvv472)",fontsize=16,color="magenta"];7646[label="primQuotInt (Neg vvv46) (absReal1 (Neg (Succ vvv2220)) False)",fontsize=16,color="black",shape="box"];7646 -> 7832[label="",style="solid", color="black", weight=3];
16312[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat (Succ vvv6400) vvv641 == LT)))",fontsize=16,color="burlywood",shape="box"];30779[label="vvv641/Succ vvv6410",fontsize=10,color="white",style="solid",shape="box"];16312 -> 30779[label="",style="solid", color="burlywood", weight=9];
30779 -> 16342[label="",style="solid", color="burlywood", weight=3];
30780[label="vvv641/Zero",fontsize=10,color="white",style="solid",shape="box"];16312 -> 30780[label="",style="solid", color="burlywood", weight=9];
30780 -> 16343[label="",style="solid", color="burlywood", weight=3];
16313[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat Zero vvv641 == LT)))",fontsize=16,color="burlywood",shape="box"];30781[label="vvv641/Succ vvv6410",fontsize=10,color="white",style="solid",shape="box"];16313 -> 30781[label="",style="solid", color="burlywood", weight=9];
30781 -> 16344[label="",style="solid", color="burlywood", weight=3];
30782[label="vvv641/Zero",fontsize=10,color="white",style="solid",shape="box"];16313 -> 30782[label="",style="solid", color="burlywood", weight=9];
30782 -> 16345[label="",style="solid", color="burlywood", weight=3];
7649[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not True))",fontsize=16,color="black",shape="box"];7649 -> 7835[label="",style="solid", color="black", weight=3];
7650[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not False))",fontsize=16,color="black",shape="triangle"];7650 -> 7836[label="",style="solid", color="black", weight=3];
7651[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not (GT == LT)))",fontsize=16,color="black",shape="box"];7651 -> 7837[label="",style="solid", color="black", weight=3];
11724 -> 15[label="",style="dashed", color="red", weight=0];
11724[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11725 -> 15[label="",style="dashed", color="red", weight=0];
11725[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11723[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv420) (Pos vvv420 >= vvv494)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos vvv420) (Pos vvv420 >= vvv493)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="triangle"];11723 -> 11784[label="",style="solid", color="black", weight=3];
12017[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) vvv480 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30785[label="vvv480/Pos vvv4800",fontsize=10,color="white",style="solid",shape="box"];12017 -> 30785[label="",style="solid", color="burlywood", weight=9];
30785 -> 12081[label="",style="solid", color="burlywood", weight=3];
30786[label="vvv480/Neg vvv4800",fontsize=10,color="white",style="solid",shape="box"];12017 -> 30786[label="",style="solid", color="burlywood", weight=9];
30786 -> 12082[label="",style="solid", color="burlywood", weight=3];
12018[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv480 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30787[label="vvv480/Pos vvv4800",fontsize=10,color="white",style="solid",shape="box"];12018 -> 30787[label="",style="solid", color="burlywood", weight=9];
30787 -> 12083[label="",style="solid", color="burlywood", weight=3];
30788[label="vvv480/Neg vvv4800",fontsize=10,color="white",style="solid",shape="box"];12018 -> 30788[label="",style="solid", color="burlywood", weight=9];
30788 -> 12084[label="",style="solid", color="burlywood", weight=3];
11472[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat vvv47100 vvv31600) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="triangle"];30789[label="vvv47100/Succ vvv471000",fontsize=10,color="white",style="solid",shape="box"];11472 -> 30789[label="",style="solid", color="burlywood", weight=9];
30789 -> 11589[label="",style="solid", color="burlywood", weight=3];
30790[label="vvv47100/Zero",fontsize=10,color="white",style="solid",shape="box"];11472 -> 30790[label="",style="solid", color="burlywood", weight=9];
30790 -> 11590[label="",style="solid", color="burlywood", weight=3];
11473 -> 11257[label="",style="dashed", color="red", weight=0];
11473[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11474[label="primQuotInt (Pos vvv115) (gcd0Gcd'0 (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11474 -> 11591[label="",style="solid", color="black", weight=3];
11475 -> 11257[label="",style="dashed", color="red", weight=0];
11475[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11476[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Neg Zero) vvv470)",fontsize=16,color="black",shape="triangle"];11476 -> 11592[label="",style="solid", color="black", weight=3];
11477 -> 11257[label="",style="dashed", color="red", weight=0];
11477[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11478 -> 11476[label="",style="dashed", color="red", weight=0];
11478[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Neg Zero) vvv470)",fontsize=16,color="magenta"];11479 -> 11472[label="",style="dashed", color="red", weight=0];
11479[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat vvv47100 vvv31600) (Neg Zero) vvv470)",fontsize=16,color="magenta"];11479 -> 11593[label="",style="dashed", color="magenta", weight=3];
11479 -> 11594[label="",style="dashed", color="magenta", weight=3];
11480 -> 11257[label="",style="dashed", color="red", weight=0];
11480[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11481 -> 11257[label="",style="dashed", color="red", weight=0];
11481[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11482 -> 11476[label="",style="dashed", color="red", weight=0];
11482[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Neg Zero) vvv470)",fontsize=16,color="magenta"];11483 -> 11257[label="",style="dashed", color="red", weight=0];
11483[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11484 -> 11476[label="",style="dashed", color="red", weight=0];
11484[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Neg Zero) vvv470)",fontsize=16,color="magenta"];7692 -> 15[label="",style="dashed", color="red", weight=0];
7692[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];7693 -> 15[label="",style="dashed", color="red", weight=0];
7693[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];7691[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv224) (Pos vvv224 >= vvv371)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos vvv224) (Pos vvv224 >= vvv370)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="triangle"];7691 -> 7933[label="",style="solid", color="black", weight=3];
11751 -> 15[label="",style="dashed", color="red", weight=0];
11751[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11752 -> 15[label="",style="dashed", color="red", weight=0];
11752[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11750[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv441) (Pos vvv441 >= vvv496)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos vvv441) (Pos vvv441 >= vvv495)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="triangle"];11750 -> 11802[label="",style="solid", color="black", weight=3];
16501[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat (Succ vvv6540) vvv655 == LT)))",fontsize=16,color="burlywood",shape="box"];30805[label="vvv655/Succ vvv6550",fontsize=10,color="white",style="solid",shape="box"];16501 -> 30805[label="",style="solid", color="burlywood", weight=9];
30805 -> 16605[label="",style="solid", color="burlywood", weight=3];
30806[label="vvv655/Zero",fontsize=10,color="white",style="solid",shape="box"];16501 -> 30806[label="",style="solid", color="burlywood", weight=9];
30806 -> 16606[label="",style="solid", color="burlywood", weight=3];
16502[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat Zero vvv655 == LT)))",fontsize=16,color="burlywood",shape="box"];30807[label="vvv655/Succ vvv6550",fontsize=10,color="white",style="solid",shape="box"];16502 -> 30807[label="",style="solid", color="burlywood", weight=9];
30807 -> 16607[label="",style="solid", color="burlywood", weight=3];
30808[label="vvv655/Zero",fontsize=10,color="white",style="solid",shape="box"];16502 -> 30808[label="",style="solid", color="burlywood", weight=9];
30808 -> 16608[label="",style="solid", color="burlywood", weight=3];
7712[label="primQuotInt (Neg vvv51) (absReal1 (Pos (Succ vvv2240)) True)",fontsize=16,color="black",shape="box"];7712 -> 7966[label="",style="solid", color="black", weight=3];
7713[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not (LT == LT)))",fontsize=16,color="black",shape="box"];7713 -> 7967[label="",style="solid", color="black", weight=3];
7714[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not False))",fontsize=16,color="black",shape="triangle"];7714 -> 7968[label="",style="solid", color="black", weight=3];
7715 -> 7714[label="",style="dashed", color="red", weight=0];
7715[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not False))",fontsize=16,color="magenta"];7728[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) vvv313 == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) vvv313 == LT))) (Pos (Succ vvv470))))",fontsize=16,color="burlywood",shape="box"];30810[label="vvv313/Pos vvv3130",fontsize=10,color="white",style="solid",shape="box"];7728 -> 30810[label="",style="solid", color="burlywood", weight=9];
30810 -> 7980[label="",style="solid", color="burlywood", weight=3];
30811[label="vvv313/Neg vvv3130",fontsize=10,color="white",style="solid",shape="box"];7728 -> 30811[label="",style="solid", color="burlywood", weight=9];
30811 -> 7981[label="",style="solid", color="burlywood", weight=3];
7729[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv313 == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv313 == LT))) (Pos (Succ vvv470))))",fontsize=16,color="burlywood",shape="box"];30812[label="vvv313/Pos vvv3130",fontsize=10,color="white",style="solid",shape="box"];7729 -> 30812[label="",style="solid", color="burlywood", weight=9];
30812 -> 7982[label="",style="solid", color="burlywood", weight=3];
30813[label="vvv313/Neg vvv3130",fontsize=10,color="white",style="solid",shape="box"];7729 -> 30813[label="",style="solid", color="burlywood", weight=9];
30813 -> 7983[label="",style="solid", color="burlywood", weight=3];
12055[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) vvv482 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30814[label="vvv482/Pos vvv4820",fontsize=10,color="white",style="solid",shape="box"];12055 -> 30814[label="",style="solid", color="burlywood", weight=9];
30814 -> 12176[label="",style="solid", color="burlywood", weight=3];
30815[label="vvv482/Neg vvv4820",fontsize=10,color="white",style="solid",shape="box"];12055 -> 30815[label="",style="solid", color="burlywood", weight=9];
30815 -> 12177[label="",style="solid", color="burlywood", weight=3];
12056[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv482 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30816[label="vvv482/Pos vvv4820",fontsize=10,color="white",style="solid",shape="box"];12056 -> 30816[label="",style="solid", color="burlywood", weight=9];
30816 -> 12178[label="",style="solid", color="burlywood", weight=3];
30817[label="vvv482/Neg vvv4820",fontsize=10,color="white",style="solid",shape="box"];12056 -> 30817[label="",style="solid", color="burlywood", weight=9];
30817 -> 12179[label="",style="solid", color="burlywood", weight=3];
11569[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat vvv47500 vvv30900) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="triangle"];30818[label="vvv47500/Succ vvv475000",fontsize=10,color="white",style="solid",shape="box"];11569 -> 30818[label="",style="solid", color="burlywood", weight=9];
30818 -> 11760[label="",style="solid", color="burlywood", weight=3];
30819[label="vvv47500/Zero",fontsize=10,color="white",style="solid",shape="box"];11569 -> 30819[label="",style="solid", color="burlywood", weight=9];
30819 -> 11761[label="",style="solid", color="burlywood", weight=3];
11570 -> 11522[label="",style="dashed", color="red", weight=0];
11570[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11571[label="primQuotInt (Neg vvv46) (gcd0Gcd'0 (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11571 -> 11762[label="",style="solid", color="black", weight=3];
11572 -> 11522[label="",style="dashed", color="red", weight=0];
11572[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11573[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (Pos Zero) vvv474)",fontsize=16,color="black",shape="triangle"];11573 -> 11763[label="",style="solid", color="black", weight=3];
11574 -> 11522[label="",style="dashed", color="red", weight=0];
11574[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11575 -> 11573[label="",style="dashed", color="red", weight=0];
11575[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (Pos Zero) vvv474)",fontsize=16,color="magenta"];11576 -> 11569[label="",style="dashed", color="red", weight=0];
11576[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat vvv47500 vvv30900) (Pos Zero) vvv474)",fontsize=16,color="magenta"];11576 -> 11764[label="",style="dashed", color="magenta", weight=3];
11576 -> 11765[label="",style="dashed", color="magenta", weight=3];
11577 -> 11522[label="",style="dashed", color="red", weight=0];
11577[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11578 -> 11522[label="",style="dashed", color="red", weight=0];
11578[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11579 -> 11573[label="",style="dashed", color="red", weight=0];
11579[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (Pos Zero) vvv474)",fontsize=16,color="magenta"];11580 -> 11522[label="",style="dashed", color="red", weight=0];
11580[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11581 -> 11573[label="",style="dashed", color="red", weight=0];
11581[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (Pos Zero) vvv474)",fontsize=16,color="magenta"];11766[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (abs (Neg vvv455)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (abs (Neg vvv455)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];11766 -> 11932[label="",style="solid", color="black", weight=3];
15410[label="vvv591",fontsize=16,color="green",shape="box"];15411[label="vvv588",fontsize=16,color="green",shape="box"];7771[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) vvv315 == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) vvv315 == LT))) (Pos (Succ vvv720))))",fontsize=16,color="burlywood",shape="box"];30830[label="vvv315/Pos vvv3150",fontsize=10,color="white",style="solid",shape="box"];7771 -> 30830[label="",style="solid", color="burlywood", weight=9];
30830 -> 8063[label="",style="solid", color="burlywood", weight=3];
30831[label="vvv315/Neg vvv3150",fontsize=10,color="white",style="solid",shape="box"];7771 -> 30831[label="",style="solid", color="burlywood", weight=9];
30831 -> 8064[label="",style="solid", color="burlywood", weight=3];
7772[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv315 == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv315 == LT))) (Pos (Succ vvv720))))",fontsize=16,color="burlywood",shape="box"];30832[label="vvv315/Pos vvv3150",fontsize=10,color="white",style="solid",shape="box"];7772 -> 30832[label="",style="solid", color="burlywood", weight=9];
30832 -> 8065[label="",style="solid", color="burlywood", weight=3];
30833[label="vvv315/Neg vvv3150",fontsize=10,color="white",style="solid",shape="box"];7772 -> 30833[label="",style="solid", color="burlywood", weight=9];
30833 -> 8066[label="",style="solid", color="burlywood", weight=3];
7775[label="primQuotInt (Pos vvv71) (absReal1 (Neg (Succ vvv2260)) False)",fontsize=16,color="black",shape="box"];7775 -> 8069[label="",style="solid", color="black", weight=3];
16603[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat (Succ vvv6590) vvv660 == LT)))",fontsize=16,color="burlywood",shape="box"];30834[label="vvv660/Succ vvv6600",fontsize=10,color="white",style="solid",shape="box"];16603 -> 30834[label="",style="solid", color="burlywood", weight=9];
30834 -> 16664[label="",style="solid", color="burlywood", weight=3];
30835[label="vvv660/Zero",fontsize=10,color="white",style="solid",shape="box"];16603 -> 30835[label="",style="solid", color="burlywood", weight=9];
30835 -> 16665[label="",style="solid", color="burlywood", weight=3];
16604[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat Zero vvv660 == LT)))",fontsize=16,color="burlywood",shape="box"];30836[label="vvv660/Succ vvv6600",fontsize=10,color="white",style="solid",shape="box"];16604 -> 30836[label="",style="solid", color="burlywood", weight=9];
30836 -> 16666[label="",style="solid", color="burlywood", weight=3];
30837[label="vvv660/Zero",fontsize=10,color="white",style="solid",shape="box"];16604 -> 30837[label="",style="solid", color="burlywood", weight=9];
30837 -> 16667[label="",style="solid", color="burlywood", weight=3];
7778[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not True))",fontsize=16,color="black",shape="box"];7778 -> 8072[label="",style="solid", color="black", weight=3];
7779[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not False))",fontsize=16,color="black",shape="triangle"];7779 -> 8073[label="",style="solid", color="black", weight=3];
7780[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not (GT == LT)))",fontsize=16,color="black",shape="box"];7780 -> 8074[label="",style="solid", color="black", weight=3];
7798[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Pos vvv3080) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Pos vvv3080) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];7798 -> 8113[label="",style="solid", color="black", weight=3];
7799[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Neg vvv3080) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Neg vvv3080) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];7799 -> 8114[label="",style="solid", color="black", weight=3];
7800[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv3080) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv3080) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="burlywood",shape="box"];30838[label="vvv3080/Succ vvv30800",fontsize=10,color="white",style="solid",shape="box"];7800 -> 30838[label="",style="solid", color="burlywood", weight=9];
30838 -> 8115[label="",style="solid", color="burlywood", weight=3];
30839[label="vvv3080/Zero",fontsize=10,color="white",style="solid",shape="box"];7800 -> 30839[label="",style="solid", color="burlywood", weight=9];
30839 -> 8116[label="",style="solid", color="burlywood", weight=3];
7801[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv3080) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv3080) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="burlywood",shape="box"];30840[label="vvv3080/Succ vvv30800",fontsize=10,color="white",style="solid",shape="box"];7801 -> 30840[label="",style="solid", color="burlywood", weight=9];
30840 -> 8117[label="",style="solid", color="burlywood", weight=3];
30841[label="vvv3080/Zero",fontsize=10,color="white",style="solid",shape="box"];7801 -> 30841[label="",style="solid", color="burlywood", weight=9];
30841 -> 8118[label="",style="solid", color="burlywood", weight=3];
12057[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Pos vvv4760) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12057 -> 12180[label="",style="solid", color="black", weight=3];
12058[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Neg vvv4760) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12058 -> 12181[label="",style="solid", color="black", weight=3];
12059[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv4760) == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30842[label="vvv4760/Succ vvv47600",fontsize=10,color="white",style="solid",shape="box"];12059 -> 30842[label="",style="solid", color="burlywood", weight=9];
30842 -> 12182[label="",style="solid", color="burlywood", weight=3];
30843[label="vvv4760/Zero",fontsize=10,color="white",style="solid",shape="box"];12059 -> 30843[label="",style="solid", color="burlywood", weight=9];
30843 -> 12183[label="",style="solid", color="burlywood", weight=3];
12060[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv4760) == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30844[label="vvv4760/Succ vvv47600",fontsize=10,color="white",style="solid",shape="box"];12060 -> 30844[label="",style="solid", color="burlywood", weight=9];
30844 -> 12184[label="",style="solid", color="burlywood", weight=3];
30845[label="vvv4760/Zero",fontsize=10,color="white",style="solid",shape="box"];12060 -> 30845[label="",style="solid", color="burlywood", weight=9];
30845 -> 12185[label="",style="solid", color="burlywood", weight=3];
11535[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat (Succ vvv469000) vvv28900) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30846[label="vvv28900/Succ vvv289000",fontsize=10,color="white",style="solid",shape="box"];11535 -> 30846[label="",style="solid", color="burlywood", weight=9];
30846 -> 11597[label="",style="solid", color="burlywood", weight=3];
30847[label="vvv28900/Zero",fontsize=10,color="white",style="solid",shape="box"];11535 -> 30847[label="",style="solid", color="burlywood", weight=9];
30847 -> 11598[label="",style="solid", color="burlywood", weight=3];
11536[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat Zero vvv28900) (Pos Zero) vvv468)",fontsize=16,color="burlywood",shape="box"];30848[label="vvv28900/Succ vvv289000",fontsize=10,color="white",style="solid",shape="box"];11536 -> 30848[label="",style="solid", color="burlywood", weight=9];
30848 -> 11599[label="",style="solid", color="burlywood", weight=3];
30849[label="vvv28900/Zero",fontsize=10,color="white",style="solid",shape="box"];11536 -> 30849[label="",style="solid", color="burlywood", weight=9];
30849 -> 11600[label="",style="solid", color="burlywood", weight=3];
11537[label="primQuotInt (Pos vvv115) (gcd0Gcd' vvv468 (Pos Zero `rem` vvv468))",fontsize=16,color="black",shape="box"];11537 -> 11601[label="",style="solid", color="black", weight=3];
11538 -> 8127[label="",style="dashed", color="red", weight=0];
11538[label="primQuotInt (Pos vvv115) (Pos Zero)",fontsize=16,color="magenta"];11539[label="vvv28900",fontsize=16,color="green",shape="box"];11540[label="vvv46900",fontsize=16,color="green",shape="box"];16258[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat (Succ vvv6330) (Succ vvv6340) == LT)))",fontsize=16,color="black",shape="box"];16258 -> 16314[label="",style="solid", color="black", weight=3];
16259[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat (Succ vvv6330) Zero == LT)))",fontsize=16,color="black",shape="box"];16259 -> 16315[label="",style="solid", color="black", weight=3];
16260[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat Zero (Succ vvv6340) == LT)))",fontsize=16,color="black",shape="box"];16260 -> 16316[label="",style="solid", color="black", weight=3];
16261[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat Zero Zero == LT)))",fontsize=16,color="black",shape="box"];16261 -> 16317[label="",style="solid", color="black", weight=3];
7805[label="primQuotInt (Pos vvv115) (Pos (Succ vvv2200))",fontsize=16,color="black",shape="triangle"];7805 -> 8125[label="",style="solid", color="black", weight=3];
7806[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) (not True))",fontsize=16,color="black",shape="box"];7806 -> 8126[label="",style="solid", color="black", weight=3];
7807[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) True)",fontsize=16,color="black",shape="box"];7807 -> 8127[label="",style="solid", color="black", weight=3];
11771[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv427) (compare (Neg vvv427) vvv492 /= LT)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg vvv427) (compare (Neg vvv427) vvv492 /= LT)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];11771 -> 11938[label="",style="solid", color="black", weight=3];
12195[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Pos vvv4830) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12195 -> 12397[label="",style="solid", color="black", weight=3];
12196[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Neg vvv4830) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12196 -> 12398[label="",style="solid", color="black", weight=3];
12197[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv4830) == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30851[label="vvv4830/Succ vvv48300",fontsize=10,color="white",style="solid",shape="box"];12197 -> 30851[label="",style="solid", color="burlywood", weight=9];
30851 -> 12399[label="",style="solid", color="burlywood", weight=3];
30852[label="vvv4830/Zero",fontsize=10,color="white",style="solid",shape="box"];12197 -> 30852[label="",style="solid", color="burlywood", weight=9];
30852 -> 12400[label="",style="solid", color="burlywood", weight=3];
12198[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv4830) == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30853[label="vvv4830/Succ vvv48300",fontsize=10,color="white",style="solid",shape="box"];12198 -> 30853[label="",style="solid", color="burlywood", weight=9];
30853 -> 12401[label="",style="solid", color="burlywood", weight=3];
30854[label="vvv4830/Zero",fontsize=10,color="white",style="solid",shape="box"];12198 -> 30854[label="",style="solid", color="burlywood", weight=9];
30854 -> 12402[label="",style="solid", color="burlywood", weight=3];
11582[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat (Succ vvv473000) vvv29500) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30855[label="vvv29500/Succ vvv295000",fontsize=10,color="white",style="solid",shape="box"];11582 -> 30855[label="",style="solid", color="burlywood", weight=9];
30855 -> 11778[label="",style="solid", color="burlywood", weight=3];
30856[label="vvv29500/Zero",fontsize=10,color="white",style="solid",shape="box"];11582 -> 30856[label="",style="solid", color="burlywood", weight=9];
30856 -> 11779[label="",style="solid", color="burlywood", weight=3];
11583[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat Zero vvv29500) (Neg Zero) vvv472)",fontsize=16,color="burlywood",shape="box"];30857[label="vvv29500/Succ vvv295000",fontsize=10,color="white",style="solid",shape="box"];11583 -> 30857[label="",style="solid", color="burlywood", weight=9];
30857 -> 11780[label="",style="solid", color="burlywood", weight=3];
30858[label="vvv29500/Zero",fontsize=10,color="white",style="solid",shape="box"];11583 -> 30858[label="",style="solid", color="burlywood", weight=9];
30858 -> 11781[label="",style="solid", color="burlywood", weight=3];
11584[label="primQuotInt (Neg vvv51) (gcd0Gcd' vvv472 (Neg Zero `rem` vvv472))",fontsize=16,color="black",shape="box"];11584 -> 11782[label="",style="solid", color="black", weight=3];
11585 -> 8156[label="",style="dashed", color="red", weight=0];
11585[label="primQuotInt (Neg vvv51) (Neg Zero)",fontsize=16,color="magenta"];11585 -> 11783[label="",style="dashed", color="magenta", weight=3];
11586[label="vvv47300",fontsize=16,color="green",shape="box"];11587[label="vvv29500",fontsize=16,color="green",shape="box"];7832[label="primQuotInt (Neg vvv46) (absReal0 (Neg (Succ vvv2220)) otherwise)",fontsize=16,color="black",shape="box"];7832 -> 8150[label="",style="solid", color="black", weight=3];
16342[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat (Succ vvv6400) (Succ vvv6410) == LT)))",fontsize=16,color="black",shape="box"];16342 -> 16366[label="",style="solid", color="black", weight=3];
16343[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat (Succ vvv6400) Zero == LT)))",fontsize=16,color="black",shape="box"];16343 -> 16367[label="",style="solid", color="black", weight=3];
16344[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat Zero (Succ vvv6410) == LT)))",fontsize=16,color="black",shape="box"];16344 -> 16368[label="",style="solid", color="black", weight=3];
16345[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat Zero Zero == LT)))",fontsize=16,color="black",shape="box"];16345 -> 16369[label="",style="solid", color="black", weight=3];
7835[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) False)",fontsize=16,color="black",shape="box"];7835 -> 8155[label="",style="solid", color="black", weight=3];
7836[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) True)",fontsize=16,color="black",shape="box"];7836 -> 8156[label="",style="solid", color="black", weight=3];
7837 -> 7650[label="",style="dashed", color="red", weight=0];
7837[label="primQuotInt (Neg vvv46) (absReal1 (Neg Zero) (not False))",fontsize=16,color="magenta"];11784[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv420) (compare (Pos vvv420) vvv494 /= LT)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos vvv420) (compare (Pos vvv420) vvv494 /= LT)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];11784 -> 11948[label="",style="solid", color="black", weight=3];
12081[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Pos vvv4800) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12081 -> 12208[label="",style="solid", color="black", weight=3];
12082[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpInt (Pos (Succ vvv2200)) (Neg vvv4800) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12082 -> 12209[label="",style="solid", color="black", weight=3];
12083[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv4800) == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30861[label="vvv4800/Succ vvv48000",fontsize=10,color="white",style="solid",shape="box"];12083 -> 30861[label="",style="solid", color="burlywood", weight=9];
30861 -> 12210[label="",style="solid", color="burlywood", weight=3];
30862[label="vvv4800/Zero",fontsize=10,color="white",style="solid",shape="box"];12083 -> 30862[label="",style="solid", color="burlywood", weight=9];
30862 -> 12211[label="",style="solid", color="burlywood", weight=3];
12084[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv4800) == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30863[label="vvv4800/Succ vvv48000",fontsize=10,color="white",style="solid",shape="box"];12084 -> 30863[label="",style="solid", color="burlywood", weight=9];
30863 -> 12212[label="",style="solid", color="burlywood", weight=3];
30864[label="vvv4800/Zero",fontsize=10,color="white",style="solid",shape="box"];12084 -> 30864[label="",style="solid", color="burlywood", weight=9];
30864 -> 12213[label="",style="solid", color="burlywood", weight=3];
11589[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat (Succ vvv471000) vvv31600) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30865[label="vvv31600/Succ vvv316000",fontsize=10,color="white",style="solid",shape="box"];11589 -> 30865[label="",style="solid", color="burlywood", weight=9];
30865 -> 11792[label="",style="solid", color="burlywood", weight=3];
30866[label="vvv31600/Zero",fontsize=10,color="white",style="solid",shape="box"];11589 -> 30866[label="",style="solid", color="burlywood", weight=9];
30866 -> 11793[label="",style="solid", color="burlywood", weight=3];
11590[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat Zero vvv31600) (Neg Zero) vvv470)",fontsize=16,color="burlywood",shape="box"];30867[label="vvv31600/Succ vvv316000",fontsize=10,color="white",style="solid",shape="box"];11590 -> 30867[label="",style="solid", color="burlywood", weight=9];
30867 -> 11794[label="",style="solid", color="burlywood", weight=3];
30868[label="vvv31600/Zero",fontsize=10,color="white",style="solid",shape="box"];11590 -> 30868[label="",style="solid", color="burlywood", weight=9];
30868 -> 11795[label="",style="solid", color="burlywood", weight=3];
11591[label="primQuotInt (Pos vvv115) (gcd0Gcd' vvv470 (Neg Zero `rem` vvv470))",fontsize=16,color="black",shape="box"];11591 -> 11796[label="",style="solid", color="black", weight=3];
11592 -> 8315[label="",style="dashed", color="red", weight=0];
11592[label="primQuotInt (Pos vvv115) (Neg Zero)",fontsize=16,color="magenta"];11592 -> 11797[label="",style="dashed", color="magenta", weight=3];
11593[label="vvv31600",fontsize=16,color="green",shape="box"];11594[label="vvv47100",fontsize=16,color="green",shape="box"];7933[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv224) (compare (Pos vvv224) vvv371 /= LT)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos vvv224) (compare (Pos vvv224) vvv371 /= LT)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];7933 -> 8199[label="",style="solid", color="black", weight=3];
11802[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv441) (compare (Pos vvv441) vvv496 /= LT)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos vvv441) (compare (Pos vvv441) vvv496 /= LT)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];11802 -> 11964[label="",style="solid", color="black", weight=3];
16605[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat (Succ vvv6540) (Succ vvv6550) == LT)))",fontsize=16,color="black",shape="box"];16605 -> 16668[label="",style="solid", color="black", weight=3];
16606[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat (Succ vvv6540) Zero == LT)))",fontsize=16,color="black",shape="box"];16606 -> 16669[label="",style="solid", color="black", weight=3];
16607[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat Zero (Succ vvv6550) == LT)))",fontsize=16,color="black",shape="box"];16607 -> 16670[label="",style="solid", color="black", weight=3];
16608[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat Zero Zero == LT)))",fontsize=16,color="black",shape="box"];16608 -> 16671[label="",style="solid", color="black", weight=3];
7966[label="primQuotInt (Neg vvv51) (Pos (Succ vvv2240))",fontsize=16,color="black",shape="triangle"];7966 -> 8235[label="",style="solid", color="black", weight=3];
7967[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) (not True))",fontsize=16,color="black",shape="box"];7967 -> 8236[label="",style="solid", color="black", weight=3];
7968[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) True)",fontsize=16,color="black",shape="box"];7968 -> 8237[label="",style="solid", color="black", weight=3];
7980[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) (Pos vvv3130) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) (Pos vvv3130) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];7980 -> 8257[label="",style="solid", color="black", weight=3];
7981[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) (Neg vvv3130) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpInt (Neg (Succ vvv2220)) (Neg vvv3130) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];7981 -> 8258[label="",style="solid", color="black", weight=3];
7982[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv3130) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv3130) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="burlywood",shape="box"];30870[label="vvv3130/Succ vvv31300",fontsize=10,color="white",style="solid",shape="box"];7982 -> 30870[label="",style="solid", color="burlywood", weight=9];
30870 -> 8259[label="",style="solid", color="burlywood", weight=3];
30871[label="vvv3130/Zero",fontsize=10,color="white",style="solid",shape="box"];7982 -> 30871[label="",style="solid", color="burlywood", weight=9];
30871 -> 8260[label="",style="solid", color="burlywood", weight=3];
7983[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv3130) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv3130) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="burlywood",shape="box"];30872[label="vvv3130/Succ vvv31300",fontsize=10,color="white",style="solid",shape="box"];7983 -> 30872[label="",style="solid", color="burlywood", weight=9];
30872 -> 8261[label="",style="solid", color="burlywood", weight=3];
30873[label="vvv3130/Zero",fontsize=10,color="white",style="solid",shape="box"];7983 -> 30873[label="",style="solid", color="burlywood", weight=9];
30873 -> 8262[label="",style="solid", color="burlywood", weight=3];
12176[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Pos vvv4820) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12176 -> 12371[label="",style="solid", color="black", weight=3];
12177[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Neg vvv4820) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12177 -> 12372[label="",style="solid", color="black", weight=3];
12178[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv4820) == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30874[label="vvv4820/Succ vvv48200",fontsize=10,color="white",style="solid",shape="box"];12178 -> 30874[label="",style="solid", color="burlywood", weight=9];
30874 -> 12373[label="",style="solid", color="burlywood", weight=3];
30875[label="vvv4820/Zero",fontsize=10,color="white",style="solid",shape="box"];12178 -> 30875[label="",style="solid", color="burlywood", weight=9];
30875 -> 12374[label="",style="solid", color="burlywood", weight=3];
12179[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv4820) == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30876[label="vvv4820/Succ vvv48200",fontsize=10,color="white",style="solid",shape="box"];12179 -> 30876[label="",style="solid", color="burlywood", weight=9];
30876 -> 12375[label="",style="solid", color="burlywood", weight=3];
30877[label="vvv4820/Zero",fontsize=10,color="white",style="solid",shape="box"];12179 -> 30877[label="",style="solid", color="burlywood", weight=9];
30877 -> 12376[label="",style="solid", color="burlywood", weight=3];
11760[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat (Succ vvv475000) vvv30900) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30878[label="vvv30900/Succ vvv309000",fontsize=10,color="white",style="solid",shape="box"];11760 -> 30878[label="",style="solid", color="burlywood", weight=9];
30878 -> 11926[label="",style="solid", color="burlywood", weight=3];
30879[label="vvv30900/Zero",fontsize=10,color="white",style="solid",shape="box"];11760 -> 30879[label="",style="solid", color="burlywood", weight=9];
30879 -> 11927[label="",style="solid", color="burlywood", weight=3];
11761[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat Zero vvv30900) (Pos Zero) vvv474)",fontsize=16,color="burlywood",shape="box"];30880[label="vvv30900/Succ vvv309000",fontsize=10,color="white",style="solid",shape="box"];11761 -> 30880[label="",style="solid", color="burlywood", weight=9];
30880 -> 11928[label="",style="solid", color="burlywood", weight=3];
30881[label="vvv30900/Zero",fontsize=10,color="white",style="solid",shape="box"];11761 -> 30881[label="",style="solid", color="burlywood", weight=9];
30881 -> 11929[label="",style="solid", color="burlywood", weight=3];
11762[label="primQuotInt (Neg vvv46) (gcd0Gcd' vvv474 (Pos Zero `rem` vvv474))",fontsize=16,color="black",shape="box"];11762 -> 11930[label="",style="solid", color="black", weight=3];
11763 -> 8237[label="",style="dashed", color="red", weight=0];
11763[label="primQuotInt (Neg vvv46) (Pos Zero)",fontsize=16,color="magenta"];11763 -> 11931[label="",style="dashed", color="magenta", weight=3];
11764[label="vvv47500",fontsize=16,color="green",shape="box"];11765[label="vvv30900",fontsize=16,color="green",shape="box"];11932[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal (Neg vvv455)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal (Neg vvv455)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];11932 -> 11985[label="",style="solid", color="black", weight=3];
8063[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Pos vvv3150) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Pos vvv3150) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8063 -> 8300[label="",style="solid", color="black", weight=3];
8064[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Neg vvv3150) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpInt (Neg (Succ vvv2260)) (Neg vvv3150) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8064 -> 8301[label="",style="solid", color="black", weight=3];
8065[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv3150) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv3150) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="burlywood",shape="box"];30883[label="vvv3150/Succ vvv31500",fontsize=10,color="white",style="solid",shape="box"];8065 -> 30883[label="",style="solid", color="burlywood", weight=9];
30883 -> 8302[label="",style="solid", color="burlywood", weight=3];
30884[label="vvv3150/Zero",fontsize=10,color="white",style="solid",shape="box"];8065 -> 30884[label="",style="solid", color="burlywood", weight=9];
30884 -> 8303[label="",style="solid", color="burlywood", weight=3];
8066[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv3150) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv3150) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="burlywood",shape="box"];30885[label="vvv3150/Succ vvv31500",fontsize=10,color="white",style="solid",shape="box"];8066 -> 30885[label="",style="solid", color="burlywood", weight=9];
30885 -> 8304[label="",style="solid", color="burlywood", weight=3];
30886[label="vvv3150/Zero",fontsize=10,color="white",style="solid",shape="box"];8066 -> 30886[label="",style="solid", color="burlywood", weight=9];
30886 -> 8305[label="",style="solid", color="burlywood", weight=3];
8069[label="primQuotInt (Pos vvv71) (absReal0 (Neg (Succ vvv2260)) otherwise)",fontsize=16,color="black",shape="box"];8069 -> 8309[label="",style="solid", color="black", weight=3];
16664[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat (Succ vvv6590) (Succ vvv6600) == LT)))",fontsize=16,color="black",shape="box"];16664 -> 16785[label="",style="solid", color="black", weight=3];
16665[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat (Succ vvv6590) Zero == LT)))",fontsize=16,color="black",shape="box"];16665 -> 16786[label="",style="solid", color="black", weight=3];
16666[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat Zero (Succ vvv6600) == LT)))",fontsize=16,color="black",shape="box"];16666 -> 16787[label="",style="solid", color="black", weight=3];
16667[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat Zero Zero == LT)))",fontsize=16,color="black",shape="box"];16667 -> 16788[label="",style="solid", color="black", weight=3];
8072[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) False)",fontsize=16,color="black",shape="box"];8072 -> 8314[label="",style="solid", color="black", weight=3];
8073[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) True)",fontsize=16,color="black",shape="box"];8073 -> 8315[label="",style="solid", color="black", weight=3];
8074 -> 7779[label="",style="dashed", color="red", weight=0];
8074[label="primQuotInt (Pos vvv71) (absReal1 (Neg Zero) (not False))",fontsize=16,color="magenta"];8113 -> 17328[label="",style="dashed", color="red", weight=0];
8113[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpNat (Succ vvv2200) vvv3080 == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpNat (Succ vvv2200) vvv3080 == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="magenta"];8113 -> 17329[label="",style="dashed", color="magenta", weight=3];
8113 -> 17330[label="",style="dashed", color="magenta", weight=3];
8113 -> 17331[label="",style="dashed", color="magenta", weight=3];
8113 -> 17332[label="",style="dashed", color="magenta", weight=3];
8113 -> 17333[label="",style="dashed", color="magenta", weight=3];
8113 -> 17334[label="",style="dashed", color="magenta", weight=3];
8114[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (GT == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos (Succ vvv2200)) (not (GT == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="triangle"];8114 -> 8335[label="",style="solid", color="black", weight=3];
8115[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv30800)) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv30800)) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8115 -> 8336[label="",style="solid", color="black", weight=3];
8116[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8116 -> 8337[label="",style="solid", color="black", weight=3];
8117[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv30800)) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv30800)) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8117 -> 8338[label="",style="solid", color="black", weight=3];
8118[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8118 -> 8339[label="",style="solid", color="black", weight=3];
12180 -> 18652[label="",style="dashed", color="red", weight=0];
12180[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpNat (Succ vvv2200) vvv4760 == LT))) (Pos Zero)",fontsize=16,color="magenta"];12180 -> 18653[label="",style="dashed", color="magenta", weight=3];
12180 -> 18654[label="",style="dashed", color="magenta", weight=3];
12180 -> 18655[label="",style="dashed", color="magenta", weight=3];
12181[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (GT == LT))) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12181 -> 12379[label="",style="solid", color="black", weight=3];
12182[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv47600)) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12182 -> 12380[label="",style="solid", color="black", weight=3];
12183[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12183 -> 12381[label="",style="solid", color="black", weight=3];
12184[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv47600)) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12184 -> 12382[label="",style="solid", color="black", weight=3];
12185[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12185 -> 12383[label="",style="solid", color="black", weight=3];
11597[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat (Succ vvv469000) (Succ vvv289000)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11597 -> 11805[label="",style="solid", color="black", weight=3];
11598[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat (Succ vvv469000) Zero) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11598 -> 11806[label="",style="solid", color="black", weight=3];
11599[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat Zero (Succ vvv289000)) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11599 -> 11807[label="",style="solid", color="black", weight=3];
11600[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat Zero Zero) (Pos Zero) vvv468)",fontsize=16,color="black",shape="box"];11600 -> 11808[label="",style="solid", color="black", weight=3];
11601[label="primQuotInt (Pos vvv115) (gcd0Gcd'2 vvv468 (Pos Zero `rem` vvv468))",fontsize=16,color="black",shape="box"];11601 -> 11809[label="",style="solid", color="black", weight=3];
8127[label="primQuotInt (Pos vvv115) (Pos Zero)",fontsize=16,color="black",shape="triangle"];8127 -> 8350[label="",style="solid", color="black", weight=3];
16314 -> 16193[label="",style="dashed", color="red", weight=0];
16314[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (primCmpNat vvv6330 vvv6340 == LT)))",fontsize=16,color="magenta"];16314 -> 16346[label="",style="dashed", color="magenta", weight=3];
16314 -> 16347[label="",style="dashed", color="magenta", weight=3];
16315 -> 7230[label="",style="dashed", color="red", weight=0];
16315[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (GT == LT)))",fontsize=16,color="magenta"];16315 -> 16348[label="",style="dashed", color="magenta", weight=3];
16315 -> 16349[label="",style="dashed", color="magenta", weight=3];
16316[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (LT == LT)))",fontsize=16,color="black",shape="box"];16316 -> 16350[label="",style="solid", color="black", weight=3];
16317[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not (EQ == LT)))",fontsize=16,color="black",shape="box"];16317 -> 16351[label="",style="solid", color="black", weight=3];
8125[label="Pos (primDivNatS vvv115 (Succ vvv2200))",fontsize=16,color="green",shape="box"];8125 -> 8348[label="",style="dashed", color="green", weight=3];
8126[label="primQuotInt (Pos vvv115) (absReal1 (Pos Zero) False)",fontsize=16,color="black",shape="box"];8126 -> 8349[label="",style="solid", color="black", weight=3];
11938[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv427) (not (compare (Neg vvv427) vvv492 == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg vvv427) (not (compare (Neg vvv427) vvv492 == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];11938 -> 11992[label="",style="solid", color="black", weight=3];
12397[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (LT == LT))) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12397 -> 12586[label="",style="solid", color="black", weight=3];
12398 -> 19367[label="",style="dashed", color="red", weight=0];
12398[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpNat vvv4830 (Succ vvv2260) == LT))) (Neg Zero)",fontsize=16,color="magenta"];12398 -> 19368[label="",style="dashed", color="magenta", weight=3];
12398 -> 19369[label="",style="dashed", color="magenta", weight=3];
12398 -> 19370[label="",style="dashed", color="magenta", weight=3];
12399[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv48300)) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12399 -> 12589[label="",style="solid", color="black", weight=3];
12400[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12400 -> 12590[label="",style="solid", color="black", weight=3];
12401[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv48300)) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12401 -> 12591[label="",style="solid", color="black", weight=3];
12402[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12402 -> 12592[label="",style="solid", color="black", weight=3];
11778[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat (Succ vvv473000) (Succ vvv295000)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11778 -> 11943[label="",style="solid", color="black", weight=3];
11779[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat (Succ vvv473000) Zero) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11779 -> 11944[label="",style="solid", color="black", weight=3];
11780[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat Zero (Succ vvv295000)) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11780 -> 11945[label="",style="solid", color="black", weight=3];
11781[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat Zero Zero) (Neg Zero) vvv472)",fontsize=16,color="black",shape="box"];11781 -> 11946[label="",style="solid", color="black", weight=3];
11782[label="primQuotInt (Neg vvv51) (gcd0Gcd'2 vvv472 (Neg Zero `rem` vvv472))",fontsize=16,color="black",shape="box"];11782 -> 11947[label="",style="solid", color="black", weight=3];
11783[label="vvv51",fontsize=16,color="green",shape="box"];8156[label="primQuotInt (Neg vvv46) (Neg Zero)",fontsize=16,color="black",shape="triangle"];8156 -> 8382[label="",style="solid", color="black", weight=3];
8150[label="primQuotInt (Neg vvv46) (absReal0 (Neg (Succ vvv2220)) True)",fontsize=16,color="black",shape="box"];8150 -> 8376[label="",style="solid", color="black", weight=3];
16366 -> 16271[label="",style="dashed", color="red", weight=0];
16366[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (primCmpNat vvv6400 vvv6410 == LT)))",fontsize=16,color="magenta"];16366 -> 16397[label="",style="dashed", color="magenta", weight=3];
16366 -> 16398[label="",style="dashed", color="magenta", weight=3];
16367[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (GT == LT)))",fontsize=16,color="black",shape="box"];16367 -> 16399[label="",style="solid", color="black", weight=3];
16368 -> 7271[label="",style="dashed", color="red", weight=0];
16368[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (LT == LT)))",fontsize=16,color="magenta"];16368 -> 16400[label="",style="dashed", color="magenta", weight=3];
16368 -> 16401[label="",style="dashed", color="magenta", weight=3];
16369[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not (EQ == LT)))",fontsize=16,color="black",shape="box"];16369 -> 16402[label="",style="solid", color="black", weight=3];
8155[label="primQuotInt (Neg vvv46) (absReal0 (Neg Zero) otherwise)",fontsize=16,color="black",shape="box"];8155 -> 8381[label="",style="solid", color="black", weight=3];
11948[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv420) (not (compare (Pos vvv420) vvv494 == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos vvv420) (not (compare (Pos vvv420) vvv494 == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];11948 -> 12007[label="",style="solid", color="black", weight=3];
12208 -> 18779[label="",style="dashed", color="red", weight=0];
12208[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (primCmpNat (Succ vvv2200) vvv4800 == LT))) (Neg Zero)",fontsize=16,color="magenta"];12208 -> 18780[label="",style="dashed", color="magenta", weight=3];
12208 -> 18781[label="",style="dashed", color="magenta", weight=3];
12208 -> 18782[label="",style="dashed", color="magenta", weight=3];
12209[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not (GT == LT))) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12209 -> 12422[label="",style="solid", color="black", weight=3];
12210[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv48000)) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12210 -> 12423[label="",style="solid", color="black", weight=3];
12211[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12211 -> 12424[label="",style="solid", color="black", weight=3];
12212[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv48000)) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12212 -> 12425[label="",style="solid", color="black", weight=3];
12213[label="primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12213 -> 12426[label="",style="solid", color="black", weight=3];
11792[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat (Succ vvv471000) (Succ vvv316000)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11792 -> 11954[label="",style="solid", color="black", weight=3];
11793[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat (Succ vvv471000) Zero) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11793 -> 11955[label="",style="solid", color="black", weight=3];
11794[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat Zero (Succ vvv316000)) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11794 -> 11956[label="",style="solid", color="black", weight=3];
11795[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat Zero Zero) (Neg Zero) vvv470)",fontsize=16,color="black",shape="box"];11795 -> 11957[label="",style="solid", color="black", weight=3];
11796[label="primQuotInt (Pos vvv115) (gcd0Gcd'2 vvv470 (Neg Zero `rem` vvv470))",fontsize=16,color="black",shape="box"];11796 -> 11958[label="",style="solid", color="black", weight=3];
11797[label="vvv115",fontsize=16,color="green",shape="box"];8315[label="primQuotInt (Pos vvv71) (Neg Zero)",fontsize=16,color="black",shape="triangle"];8315 -> 8534[label="",style="solid", color="black", weight=3];
8199[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv224) (not (compare (Pos vvv224) vvv371 == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos vvv224) (not (compare (Pos vvv224) vvv371 == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];8199 -> 8423[label="",style="solid", color="black", weight=3];
11964[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv441) (not (compare (Pos vvv441) vvv496 == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos vvv441) (not (compare (Pos vvv441) vvv496 == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];11964 -> 12038[label="",style="solid", color="black", weight=3];
16668 -> 16460[label="",style="dashed", color="red", weight=0];
16668[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (primCmpNat vvv6540 vvv6550 == LT)))",fontsize=16,color="magenta"];16668 -> 16789[label="",style="dashed", color="magenta", weight=3];
16668 -> 16790[label="",style="dashed", color="magenta", weight=3];
16669 -> 7340[label="",style="dashed", color="red", weight=0];
16669[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (GT == LT)))",fontsize=16,color="magenta"];16669 -> 16791[label="",style="dashed", color="magenta", weight=3];
16669 -> 16792[label="",style="dashed", color="magenta", weight=3];
16670[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (LT == LT)))",fontsize=16,color="black",shape="box"];16670 -> 16793[label="",style="solid", color="black", weight=3];
16671[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not (EQ == LT)))",fontsize=16,color="black",shape="box"];16671 -> 16794[label="",style="solid", color="black", weight=3];
8235[label="Neg (primDivNatS vvv51 (Succ vvv2240))",fontsize=16,color="green",shape="box"];8235 -> 8449[label="",style="dashed", color="green", weight=3];
8236[label="primQuotInt (Neg vvv51) (absReal1 (Pos Zero) False)",fontsize=16,color="black",shape="box"];8236 -> 8450[label="",style="solid", color="black", weight=3];
8237[label="primQuotInt (Neg vvv51) (Pos Zero)",fontsize=16,color="black",shape="triangle"];8237 -> 8451[label="",style="solid", color="black", weight=3];
8257[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (LT == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (LT == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="triangle"];8257 -> 8464[label="",style="solid", color="black", weight=3];
8258 -> 17542[label="",style="dashed", color="red", weight=0];
8258[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpNat vvv3130 (Succ vvv2220) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg (Succ vvv2220)) (not (primCmpNat vvv3130 (Succ vvv2220) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="magenta"];8258 -> 17543[label="",style="dashed", color="magenta", weight=3];
8258 -> 17544[label="",style="dashed", color="magenta", weight=3];
8258 -> 17545[label="",style="dashed", color="magenta", weight=3];
8258 -> 17546[label="",style="dashed", color="magenta", weight=3];
8258 -> 17547[label="",style="dashed", color="magenta", weight=3];
8258 -> 17548[label="",style="dashed", color="magenta", weight=3];
8259[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv31300)) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv31300)) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8259 -> 8467[label="",style="solid", color="black", weight=3];
8260[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8260 -> 8468[label="",style="solid", color="black", weight=3];
8261[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv31300)) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv31300)) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8261 -> 8469[label="",style="solid", color="black", weight=3];
8262[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8262 -> 8470[label="",style="solid", color="black", weight=3];
12371[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (LT == LT))) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12371 -> 12556[label="",style="solid", color="black", weight=3];
12372 -> 18211[label="",style="dashed", color="red", weight=0];
12372[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpNat vvv4820 (Succ vvv2260) == LT))) (Pos Zero)",fontsize=16,color="magenta"];12372 -> 18212[label="",style="dashed", color="magenta", weight=3];
12372 -> 18213[label="",style="dashed", color="magenta", weight=3];
12372 -> 18214[label="",style="dashed", color="magenta", weight=3];
12373[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv48200)) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12373 -> 12559[label="",style="solid", color="black", weight=3];
12374[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12374 -> 12560[label="",style="solid", color="black", weight=3];
12375[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv48200)) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12375 -> 12561[label="",style="solid", color="black", weight=3];
12376[label="primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12376 -> 12562[label="",style="solid", color="black", weight=3];
11926[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat (Succ vvv475000) (Succ vvv309000)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11926 -> 11980[label="",style="solid", color="black", weight=3];
11927[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat (Succ vvv475000) Zero) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11927 -> 11981[label="",style="solid", color="black", weight=3];
11928[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat Zero (Succ vvv309000)) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11928 -> 11982[label="",style="solid", color="black", weight=3];
11929[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat Zero Zero) (Pos Zero) vvv474)",fontsize=16,color="black",shape="box"];11929 -> 11983[label="",style="solid", color="black", weight=3];
11930[label="primQuotInt (Neg vvv46) (gcd0Gcd'2 vvv474 (Pos Zero `rem` vvv474))",fontsize=16,color="black",shape="box"];11930 -> 11984[label="",style="solid", color="black", weight=3];
11931[label="vvv46",fontsize=16,color="green",shape="box"];11985[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal2 (Neg vvv455)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal2 (Neg vvv455)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];11985 -> 12050[label="",style="solid", color="black", weight=3];
8300[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (LT == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (LT == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="triangle"];8300 -> 8514[label="",style="solid", color="black", weight=3];
8301 -> 17619[label="",style="dashed", color="red", weight=0];
8301[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpNat vvv3150 (Succ vvv2260) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg (Succ vvv2260)) (not (primCmpNat vvv3150 (Succ vvv2260) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="magenta"];8301 -> 17620[label="",style="dashed", color="magenta", weight=3];
8301 -> 17621[label="",style="dashed", color="magenta", weight=3];
8301 -> 17622[label="",style="dashed", color="magenta", weight=3];
8301 -> 17623[label="",style="dashed", color="magenta", weight=3];
8301 -> 17624[label="",style="dashed", color="magenta", weight=3];
8301 -> 17625[label="",style="dashed", color="magenta", weight=3];
8302[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv31500)) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv31500)) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8302 -> 8517[label="",style="solid", color="black", weight=3];
8303[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8303 -> 8518[label="",style="solid", color="black", weight=3];
8304[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv31500)) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv31500)) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8304 -> 8519[label="",style="solid", color="black", weight=3];
8305[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8305 -> 8520[label="",style="solid", color="black", weight=3];
8309[label="primQuotInt (Pos vvv71) (absReal0 (Neg (Succ vvv2260)) True)",fontsize=16,color="black",shape="box"];8309 -> 8528[label="",style="solid", color="black", weight=3];
16785 -> 16562[label="",style="dashed", color="red", weight=0];
16785[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (primCmpNat vvv6590 vvv6600 == LT)))",fontsize=16,color="magenta"];16785 -> 16827[label="",style="dashed", color="magenta", weight=3];
16785 -> 16828[label="",style="dashed", color="magenta", weight=3];
16786[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (GT == LT)))",fontsize=16,color="black",shape="box"];16786 -> 16829[label="",style="solid", color="black", weight=3];
16787 -> 7398[label="",style="dashed", color="red", weight=0];
16787[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (LT == LT)))",fontsize=16,color="magenta"];16787 -> 16830[label="",style="dashed", color="magenta", weight=3];
16787 -> 16831[label="",style="dashed", color="magenta", weight=3];
16788[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not (EQ == LT)))",fontsize=16,color="black",shape="box"];16788 -> 16832[label="",style="solid", color="black", weight=3];
8314[label="primQuotInt (Pos vvv71) (absReal0 (Neg Zero) otherwise)",fontsize=16,color="black",shape="box"];8314 -> 8533[label="",style="solid", color="black", weight=3];
17329[label="Succ vvv2200",fontsize=16,color="green",shape="box"];17330[label="vvv2200",fontsize=16,color="green",shape="box"];17331[label="vvv115",fontsize=16,color="green",shape="box"];17332[label="vvv272",fontsize=16,color="green",shape="box"];17333[label="vvv1160",fontsize=16,color="green",shape="box"];17334[label="vvv3080",fontsize=16,color="green",shape="box"];17328[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat vvv692 vvv693 == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat vvv692 vvv693 == LT))) (Pos (Succ vvv694))))",fontsize=16,color="burlywood",shape="triangle"];30903[label="vvv692/Succ vvv6920",fontsize=10,color="white",style="solid",shape="box"];17328 -> 30903[label="",style="solid", color="burlywood", weight=9];
30903 -> 17389[label="",style="solid", color="burlywood", weight=3];
30904[label="vvv692/Zero",fontsize=10,color="white",style="solid",shape="box"];17328 -> 30904[label="",style="solid", color="burlywood", weight=9];
30904 -> 17390[label="",style="solid", color="burlywood", weight=3];
8335[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2200)) (not False)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos (Succ vvv2200)) (not False)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="triangle"];8335 -> 8554[label="",style="solid", color="black", weight=3];
8336[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv30800) == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv30800) == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8336 -> 8555[label="",style="solid", color="black", weight=3];
8337[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="triangle"];8337 -> 8556[label="",style="solid", color="black", weight=3];
8338[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8338 -> 8557[label="",style="solid", color="black", weight=3];
8339 -> 8337[label="",style="dashed", color="red", weight=0];
8339[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="magenta"];18653[label="Succ vvv2200",fontsize=16,color="green",shape="box"];18654[label="vvv4760",fontsize=16,color="green",shape="box"];18655[label="vvv2200",fontsize=16,color="green",shape="box"];18652[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat vvv757 vvv758 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="triangle"];30906[label="vvv757/Succ vvv7570",fontsize=10,color="white",style="solid",shape="box"];18652 -> 30906[label="",style="solid", color="burlywood", weight=9];
30906 -> 18683[label="",style="solid", color="burlywood", weight=3];
30907[label="vvv757/Zero",fontsize=10,color="white",style="solid",shape="box"];18652 -> 30907[label="",style="solid", color="burlywood", weight=9];
30907 -> 18684[label="",style="solid", color="burlywood", weight=3];
12379[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not False)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12379 -> 12565[label="",style="solid", color="black", weight=3];
12380[label="primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv47600) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12380 -> 12566[label="",style="solid", color="black", weight=3];
12381[label="primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12381 -> 12567[label="",style="solid", color="black", weight=3];
12382[label="primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12382 -> 12568[label="",style="solid", color="black", weight=3];
12383 -> 12381[label="",style="dashed", color="red", weight=0];
12383[label="primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos Zero)",fontsize=16,color="magenta"];11805 -> 11373[label="",style="dashed", color="red", weight=0];
11805[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat vvv469000 vvv289000) (Pos Zero) vvv468)",fontsize=16,color="magenta"];11805 -> 11968[label="",style="dashed", color="magenta", weight=3];
11805 -> 11969[label="",style="dashed", color="magenta", weight=3];
11806 -> 11004[label="",style="dashed", color="red", weight=0];
11806[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11807 -> 11004[label="",style="dashed", color="red", weight=0];
11807[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Pos Zero) vvv468)",fontsize=16,color="magenta"];11808 -> 11377[label="",style="dashed", color="red", weight=0];
11808[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Pos Zero) vvv468)",fontsize=16,color="magenta"];11809 -> 11970[label="",style="dashed", color="red", weight=0];
11809[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (Pos Zero `rem` vvv468 == fromInt (Pos Zero)) vvv468 (Pos Zero `rem` vvv468))",fontsize=16,color="magenta"];11809 -> 11971[label="",style="dashed", color="magenta", weight=3];
8350[label="error []",fontsize=16,color="black",shape="triangle"];8350 -> 8572[label="",style="solid", color="black", weight=3];
16346[label="vvv6330",fontsize=16,color="green",shape="box"];16347[label="vvv6340",fontsize=16,color="green",shape="box"];16348[label="vvv632",fontsize=16,color="green",shape="box"];16349[label="vvv631",fontsize=16,color="green",shape="box"];16350[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not True))",fontsize=16,color="black",shape="box"];16350 -> 16370[label="",style="solid", color="black", weight=3];
16351 -> 7440[label="",style="dashed", color="red", weight=0];
16351[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) (not False))",fontsize=16,color="magenta"];16351 -> 16371[label="",style="dashed", color="magenta", weight=3];
16351 -> 16372[label="",style="dashed", color="magenta", weight=3];
8348[label="primDivNatS vvv115 (Succ vvv2200)",fontsize=16,color="burlywood",shape="triangle"];30915[label="vvv115/Succ vvv1150",fontsize=10,color="white",style="solid",shape="box"];8348 -> 30915[label="",style="solid", color="burlywood", weight=9];
30915 -> 8569[label="",style="solid", color="burlywood", weight=3];
30916[label="vvv115/Zero",fontsize=10,color="white",style="solid",shape="box"];8348 -> 30916[label="",style="solid", color="burlywood", weight=9];
30916 -> 8570[label="",style="solid", color="burlywood", weight=3];
8349[label="primQuotInt (Pos vvv115) (absReal0 (Pos Zero) otherwise)",fontsize=16,color="black",shape="box"];8349 -> 8571[label="",style="solid", color="black", weight=3];
11992[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv427) (not (primCmpInt (Neg vvv427) vvv492 == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg vvv427) (not (primCmpInt (Neg vvv427) vvv492 == LT))) (Neg (Succ vvv423))))",fontsize=16,color="burlywood",shape="box"];30917[label="vvv427/Succ vvv4270",fontsize=10,color="white",style="solid",shape="box"];11992 -> 30917[label="",style="solid", color="burlywood", weight=9];
30917 -> 12062[label="",style="solid", color="burlywood", weight=3];
30918[label="vvv427/Zero",fontsize=10,color="white",style="solid",shape="box"];11992 -> 30918[label="",style="solid", color="burlywood", weight=9];
30918 -> 12063[label="",style="solid", color="burlywood", weight=3];
12586[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not True)) (Neg Zero)",fontsize=16,color="black",shape="box"];12586 -> 12771[label="",style="solid", color="black", weight=3];
19368[label="vvv4830",fontsize=16,color="green",shape="box"];19369[label="Succ vvv2260",fontsize=16,color="green",shape="box"];19370[label="vvv2260",fontsize=16,color="green",shape="box"];19367[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat vvv810 vvv811 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="triangle"];30919[label="vvv810/Succ vvv8100",fontsize=10,color="white",style="solid",shape="box"];19367 -> 30919[label="",style="solid", color="burlywood", weight=9];
30919 -> 19398[label="",style="solid", color="burlywood", weight=3];
30920[label="vvv810/Zero",fontsize=10,color="white",style="solid",shape="box"];19367 -> 30920[label="",style="solid", color="burlywood", weight=9];
30920 -> 19399[label="",style="solid", color="burlywood", weight=3];
12589[label="primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12589 -> 12774[label="",style="solid", color="black", weight=3];
12590[label="primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12590 -> 12775[label="",style="solid", color="black", weight=3];
12591[label="primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv48300) Zero == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12591 -> 12776[label="",style="solid", color="black", weight=3];
12592 -> 12590[label="",style="dashed", color="red", weight=0];
12592[label="primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg Zero)",fontsize=16,color="magenta"];11943 -> 11459[label="",style="dashed", color="red", weight=0];
11943[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqNat vvv473000 vvv295000) (Neg Zero) vvv472)",fontsize=16,color="magenta"];11943 -> 11999[label="",style="dashed", color="magenta", weight=3];
11943 -> 12000[label="",style="dashed", color="magenta", weight=3];
11944 -> 11361[label="",style="dashed", color="red", weight=0];
11944[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11945 -> 11361[label="",style="dashed", color="red", weight=0];
11945[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 False (Neg Zero) vvv472)",fontsize=16,color="magenta"];11946 -> 11463[label="",style="dashed", color="red", weight=0];
11946[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 True (Neg Zero) vvv472)",fontsize=16,color="magenta"];11947 -> 12001[label="",style="dashed", color="red", weight=0];
11947[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (Neg Zero `rem` vvv472 == fromInt (Pos Zero)) vvv472 (Neg Zero `rem` vvv472))",fontsize=16,color="magenta"];11947 -> 12002[label="",style="dashed", color="magenta", weight=3];
8382 -> 8350[label="",style="dashed", color="red", weight=0];
8382[label="error []",fontsize=16,color="magenta"];8376[label="primQuotInt (Neg vvv46) (`negate` Neg (Succ vvv2220))",fontsize=16,color="black",shape="box"];8376 -> 8603[label="",style="solid", color="black", weight=3];
16397[label="vvv6410",fontsize=16,color="green",shape="box"];16398[label="vvv6400",fontsize=16,color="green",shape="box"];16399[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not False))",fontsize=16,color="black",shape="triangle"];16399 -> 16416[label="",style="solid", color="black", weight=3];
16400[label="vvv639",fontsize=16,color="green",shape="box"];16401[label="vvv638",fontsize=16,color="green",shape="box"];16402 -> 16399[label="",style="dashed", color="red", weight=0];
16402[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) (not False))",fontsize=16,color="magenta"];8381[label="primQuotInt (Neg vvv46) (absReal0 (Neg Zero) True)",fontsize=16,color="black",shape="box"];8381 -> 8609[label="",style="solid", color="black", weight=3];
12007[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv420) (not (primCmpInt (Pos vvv420) vvv494 == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos vvv420) (not (primCmpInt (Pos vvv420) vvv494 == LT))) (Neg (Succ vvv416))))",fontsize=16,color="burlywood",shape="box"];30929[label="vvv420/Succ vvv4200",fontsize=10,color="white",style="solid",shape="box"];12007 -> 30929[label="",style="solid", color="burlywood", weight=9];
30929 -> 12073[label="",style="solid", color="burlywood", weight=3];
30930[label="vvv420/Zero",fontsize=10,color="white",style="solid",shape="box"];12007 -> 30930[label="",style="solid", color="burlywood", weight=9];
30930 -> 12074[label="",style="solid", color="burlywood", weight=3];
18780[label="Succ vvv2200",fontsize=16,color="green",shape="box"];18781[label="vvv2200",fontsize=16,color="green",shape="box"];18782[label="vvv4800",fontsize=16,color="green",shape="box"];18779[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat vvv761 vvv762 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="triangle"];30931[label="vvv761/Succ vvv7610",fontsize=10,color="white",style="solid",shape="box"];18779 -> 30931[label="",style="solid", color="burlywood", weight=9];
30931 -> 18810[label="",style="solid", color="burlywood", weight=3];
30932[label="vvv761/Zero",fontsize=10,color="white",style="solid",shape="box"];18779 -> 30932[label="",style="solid", color="burlywood", weight=9];
30932 -> 18811[label="",style="solid", color="burlywood", weight=3];
12422[label="primRemInt (absReal1 (Pos (Succ vvv2200)) (not False)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12422 -> 12612[label="",style="solid", color="black", weight=3];
12423[label="primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv48000) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12423 -> 12613[label="",style="solid", color="black", weight=3];
12424[label="primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12424 -> 12614[label="",style="solid", color="black", weight=3];
12425[label="primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12425 -> 12615[label="",style="solid", color="black", weight=3];
12426 -> 12424[label="",style="dashed", color="red", weight=0];
12426[label="primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg Zero)",fontsize=16,color="magenta"];11954 -> 11472[label="",style="dashed", color="red", weight=0];
11954[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqNat vvv471000 vvv316000) (Neg Zero) vvv470)",fontsize=16,color="magenta"];11954 -> 12019[label="",style="dashed", color="magenta", weight=3];
11954 -> 12020[label="",style="dashed", color="magenta", weight=3];
11955 -> 11257[label="",style="dashed", color="red", weight=0];
11955[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11956 -> 11257[label="",style="dashed", color="red", weight=0];
11956[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 False (Neg Zero) vvv470)",fontsize=16,color="magenta"];11957 -> 11476[label="",style="dashed", color="red", weight=0];
11957[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 True (Neg Zero) vvv470)",fontsize=16,color="magenta"];11958 -> 12021[label="",style="dashed", color="red", weight=0];
11958[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (Neg Zero `rem` vvv470 == fromInt (Pos Zero)) vvv470 (Neg Zero `rem` vvv470))",fontsize=16,color="magenta"];11958 -> 12022[label="",style="dashed", color="magenta", weight=3];
8534 -> 8350[label="",style="dashed", color="red", weight=0];
8534[label="error []",fontsize=16,color="magenta"];8423[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv224) (not (primCmpInt (Pos vvv224) vvv371 == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos vvv224) (not (primCmpInt (Pos vvv224) vvv371 == LT))) (Pos (Succ vvv520))))",fontsize=16,color="burlywood",shape="box"];30940[label="vvv224/Succ vvv2240",fontsize=10,color="white",style="solid",shape="box"];8423 -> 30940[label="",style="solid", color="burlywood", weight=9];
30940 -> 8658[label="",style="solid", color="burlywood", weight=3];
30941[label="vvv224/Zero",fontsize=10,color="white",style="solid",shape="box"];8423 -> 30941[label="",style="solid", color="burlywood", weight=9];
30941 -> 8659[label="",style="solid", color="burlywood", weight=3];
12038[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos vvv441) (not (primCmpInt (Pos vvv441) vvv496 == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos vvv441) (not (primCmpInt (Pos vvv441) vvv496 == LT))) (Neg (Succ vvv437))))",fontsize=16,color="burlywood",shape="box"];30942[label="vvv441/Succ vvv4410",fontsize=10,color="white",style="solid",shape="box"];12038 -> 30942[label="",style="solid", color="burlywood", weight=9];
30942 -> 12090[label="",style="solid", color="burlywood", weight=3];
30943[label="vvv441/Zero",fontsize=10,color="white",style="solid",shape="box"];12038 -> 30943[label="",style="solid", color="burlywood", weight=9];
30943 -> 12091[label="",style="solid", color="burlywood", weight=3];
16789[label="vvv6550",fontsize=16,color="green",shape="box"];16790[label="vvv6540",fontsize=16,color="green",shape="box"];16791[label="vvv652",fontsize=16,color="green",shape="box"];16792[label="vvv653",fontsize=16,color="green",shape="box"];16793[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not True))",fontsize=16,color="black",shape="box"];16793 -> 16833[label="",style="solid", color="black", weight=3];
16794 -> 7530[label="",style="dashed", color="red", weight=0];
16794[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) (not False))",fontsize=16,color="magenta"];16794 -> 16834[label="",style="dashed", color="magenta", weight=3];
16794 -> 16835[label="",style="dashed", color="magenta", weight=3];
8449 -> 8348[label="",style="dashed", color="red", weight=0];
8449[label="primDivNatS vvv51 (Succ vvv2240)",fontsize=16,color="magenta"];8449 -> 8692[label="",style="dashed", color="magenta", weight=3];
8449 -> 8693[label="",style="dashed", color="magenta", weight=3];
8450[label="primQuotInt (Neg vvv51) (absReal0 (Pos Zero) otherwise)",fontsize=16,color="black",shape="box"];8450 -> 8694[label="",style="solid", color="black", weight=3];
8451 -> 8350[label="",style="dashed", color="red", weight=0];
8451[label="error []",fontsize=16,color="magenta"];8464[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2220)) (not True)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg (Succ vvv2220)) (not True)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8464 -> 8706[label="",style="solid", color="black", weight=3];
17543[label="Succ vvv2220",fontsize=16,color="green",shape="box"];17544[label="vvv470",fontsize=16,color="green",shape="box"];17545[label="vvv46",fontsize=16,color="green",shape="box"];17546[label="vvv302",fontsize=16,color="green",shape="box"];17547[label="vvv3130",fontsize=16,color="green",shape="box"];17548[label="vvv2220",fontsize=16,color="green",shape="box"];17542[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat vvv701 vvv702 == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat vvv701 vvv702 == LT))) (Pos (Succ vvv703))))",fontsize=16,color="burlywood",shape="triangle"];30947[label="vvv701/Succ vvv7010",fontsize=10,color="white",style="solid",shape="box"];17542 -> 30947[label="",style="solid", color="burlywood", weight=9];
30947 -> 17603[label="",style="solid", color="burlywood", weight=3];
30948[label="vvv701/Zero",fontsize=10,color="white",style="solid",shape="box"];17542 -> 30948[label="",style="solid", color="burlywood", weight=9];
30948 -> 17604[label="",style="solid", color="burlywood", weight=3];
8467[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8467 -> 8709[label="",style="solid", color="black", weight=3];
8468[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="triangle"];8468 -> 8710[label="",style="solid", color="black", weight=3];
8469[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv31300) Zero == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv31300) Zero == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8469 -> 8711[label="",style="solid", color="black", weight=3];
8470 -> 8468[label="",style="dashed", color="red", weight=0];
8470[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv470))))",fontsize=16,color="magenta"];12556[label="primRemInt (absReal1 (Neg (Succ vvv2260)) (not True)) (Pos Zero)",fontsize=16,color="black",shape="box"];12556 -> 12746[label="",style="solid", color="black", weight=3];
18212[label="vvv4820",fontsize=16,color="green",shape="box"];18213[label="vvv2260",fontsize=16,color="green",shape="box"];18214[label="Succ vvv2260",fontsize=16,color="green",shape="box"];18211[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat vvv738 vvv739 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="triangle"];30950[label="vvv738/Succ vvv7380",fontsize=10,color="white",style="solid",shape="box"];18211 -> 30950[label="",style="solid", color="burlywood", weight=9];
30950 -> 18242[label="",style="solid", color="burlywood", weight=3];
30951[label="vvv738/Zero",fontsize=10,color="white",style="solid",shape="box"];18211 -> 30951[label="",style="solid", color="burlywood", weight=9];
30951 -> 18243[label="",style="solid", color="burlywood", weight=3];
12559[label="primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12559 -> 12749[label="",style="solid", color="black", weight=3];
12560[label="primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12560 -> 12750[label="",style="solid", color="black", weight=3];
12561[label="primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv48200) Zero == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12561 -> 12751[label="",style="solid", color="black", weight=3];
12562 -> 12560[label="",style="dashed", color="red", weight=0];
12562[label="primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos Zero)",fontsize=16,color="magenta"];11980 -> 11569[label="",style="dashed", color="red", weight=0];
11980[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqNat vvv475000 vvv309000) (Pos Zero) vvv474)",fontsize=16,color="magenta"];11980 -> 12044[label="",style="dashed", color="magenta", weight=3];
11980 -> 12045[label="",style="dashed", color="magenta", weight=3];
11981 -> 11522[label="",style="dashed", color="red", weight=0];
11981[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11982 -> 11522[label="",style="dashed", color="red", weight=0];
11982[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 False (Pos Zero) vvv474)",fontsize=16,color="magenta"];11983 -> 11573[label="",style="dashed", color="red", weight=0];
11983[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 True (Pos Zero) vvv474)",fontsize=16,color="magenta"];11984 -> 12046[label="",style="dashed", color="red", weight=0];
11984[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (Pos Zero `rem` vvv474 == fromInt (Pos Zero)) vvv474 (Pos Zero `rem` vvv474))",fontsize=16,color="magenta"];11984 -> 12047[label="",style="dashed", color="magenta", weight=3];
12050 -> 12164[label="",style="dashed", color="red", weight=0];
12050[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv455) (Neg vvv455 >= fromInt (Pos Zero))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg vvv455) (Neg vvv455 >= fromInt (Pos Zero))) (Neg (Succ vvv451))))",fontsize=16,color="magenta"];12050 -> 12165[label="",style="dashed", color="magenta", weight=3];
12050 -> 12166[label="",style="dashed", color="magenta", weight=3];
8514[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2260)) (not True)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg (Succ vvv2260)) (not True)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8514 -> 8749[label="",style="solid", color="black", weight=3];
17620[label="vvv286",fontsize=16,color="green",shape="box"];17621[label="vvv3150",fontsize=16,color="green",shape="box"];17622[label="Succ vvv2260",fontsize=16,color="green",shape="box"];17623[label="vvv2260",fontsize=16,color="green",shape="box"];17624[label="vvv71",fontsize=16,color="green",shape="box"];17625[label="vvv720",fontsize=16,color="green",shape="box"];17619[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat vvv708 vvv709 == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat vvv708 vvv709 == LT))) (Pos (Succ vvv710))))",fontsize=16,color="burlywood",shape="triangle"];30959[label="vvv708/Succ vvv7080",fontsize=10,color="white",style="solid",shape="box"];17619 -> 30959[label="",style="solid", color="burlywood", weight=9];
30959 -> 17680[label="",style="solid", color="burlywood", weight=3];
30960[label="vvv708/Zero",fontsize=10,color="white",style="solid",shape="box"];17619 -> 30960[label="",style="solid", color="burlywood", weight=9];
30960 -> 17681[label="",style="solid", color="burlywood", weight=3];
8517[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8517 -> 8752[label="",style="solid", color="black", weight=3];
8518[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="triangle"];8518 -> 8753[label="",style="solid", color="black", weight=3];
8519[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv31500) Zero == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv31500) Zero == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8519 -> 8754[label="",style="solid", color="black", weight=3];
8520 -> 8518[label="",style="dashed", color="red", weight=0];
8520[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Pos (Succ vvv720))))",fontsize=16,color="magenta"];8528[label="primQuotInt (Pos vvv71) (`negate` Neg (Succ vvv2260))",fontsize=16,color="black",shape="box"];8528 -> 8762[label="",style="solid", color="black", weight=3];
16827[label="vvv6600",fontsize=16,color="green",shape="box"];16828[label="vvv6590",fontsize=16,color="green",shape="box"];16829[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not False))",fontsize=16,color="black",shape="triangle"];16829 -> 16870[label="",style="solid", color="black", weight=3];
16830[label="vvv658",fontsize=16,color="green",shape="box"];16831[label="vvv657",fontsize=16,color="green",shape="box"];16832 -> 16829[label="",style="dashed", color="red", weight=0];
16832[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) (not False))",fontsize=16,color="magenta"];8533[label="primQuotInt (Pos vvv71) (absReal0 (Neg Zero) True)",fontsize=16,color="black",shape="box"];8533 -> 8768[label="",style="solid", color="black", weight=3];
17389[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat (Succ vvv6920) vvv693 == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat (Succ vvv6920) vvv693 == LT))) (Pos (Succ vvv694))))",fontsize=16,color="burlywood",shape="box"];30963[label="vvv693/Succ vvv6930",fontsize=10,color="white",style="solid",shape="box"];17389 -> 30963[label="",style="solid", color="burlywood", weight=9];
30963 -> 17459[label="",style="solid", color="burlywood", weight=3];
30964[label="vvv693/Zero",fontsize=10,color="white",style="solid",shape="box"];17389 -> 30964[label="",style="solid", color="burlywood", weight=9];
30964 -> 17460[label="",style="solid", color="burlywood", weight=3];
17390[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat Zero vvv693 == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat Zero vvv693 == LT))) (Pos (Succ vvv694))))",fontsize=16,color="burlywood",shape="box"];30965[label="vvv693/Succ vvv6930",fontsize=10,color="white",style="solid",shape="box"];17390 -> 30965[label="",style="solid", color="burlywood", weight=9];
30965 -> 17461[label="",style="solid", color="burlywood", weight=3];
30966[label="vvv693/Zero",fontsize=10,color="white",style="solid",shape="box"];17390 -> 30966[label="",style="solid", color="burlywood", weight=9];
30966 -> 17462[label="",style="solid", color="burlywood", weight=3];
8554[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2200)) True) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos (Succ vvv2200)) True) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8554 -> 8805[label="",style="solid", color="black", weight=3];
8555[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8555 -> 8806[label="",style="solid", color="black", weight=3];
8556[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="triangle"];8556 -> 8807[label="",style="solid", color="black", weight=3];
8557 -> 8556[label="",style="dashed", color="red", weight=0];
8557[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv1160))))",fontsize=16,color="magenta"];18683[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat (Succ vvv7570) vvv758 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30968[label="vvv758/Succ vvv7580",fontsize=10,color="white",style="solid",shape="box"];18683 -> 30968[label="",style="solid", color="burlywood", weight=9];
30968 -> 18812[label="",style="solid", color="burlywood", weight=3];
30969[label="vvv758/Zero",fontsize=10,color="white",style="solid",shape="box"];18683 -> 30969[label="",style="solid", color="burlywood", weight=9];
30969 -> 18813[label="",style="solid", color="burlywood", weight=3];
18684[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat Zero vvv758 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];30970[label="vvv758/Succ vvv7580",fontsize=10,color="white",style="solid",shape="box"];18684 -> 30970[label="",style="solid", color="burlywood", weight=9];
30970 -> 18814[label="",style="solid", color="burlywood", weight=3];
30971[label="vvv758/Zero",fontsize=10,color="white",style="solid",shape="box"];18684 -> 30971[label="",style="solid", color="burlywood", weight=9];
30971 -> 18815[label="",style="solid", color="burlywood", weight=3];
12565[label="primRemInt (absReal1 (Pos (Succ vvv2200)) True) (Pos Zero)",fontsize=16,color="black",shape="box"];12565 -> 12754[label="",style="solid", color="black", weight=3];
12566[label="primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12566 -> 12755[label="",style="solid", color="black", weight=3];
12567[label="primRemInt (absReal1 (Pos Zero) (not False)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12567 -> 12756[label="",style="solid", color="black", weight=3];
12568 -> 12567[label="",style="dashed", color="red", weight=0];
12568[label="primRemInt (absReal1 (Pos Zero) (not False)) (Pos Zero)",fontsize=16,color="magenta"];11968[label="vvv289000",fontsize=16,color="green",shape="box"];11969[label="vvv469000",fontsize=16,color="green",shape="box"];11971 -> 15[label="",style="dashed", color="red", weight=0];
11971[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];11970[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (Pos Zero `rem` vvv468 == vvv503) vvv468 (Pos Zero `rem` vvv468))",fontsize=16,color="black",shape="triangle"];11970 -> 12061[label="",style="solid", color="black", weight=3];
8572[label="error []",fontsize=16,color="red",shape="box"];16370[label="primQuotInt (Pos vvv631) (absReal1 (Pos (Succ vvv632)) False)",fontsize=16,color="black",shape="box"];16370 -> 16403[label="",style="solid", color="black", weight=3];
16371[label="vvv632",fontsize=16,color="green",shape="box"];16372[label="vvv631",fontsize=16,color="green",shape="box"];8569[label="primDivNatS (Succ vvv1150) (Succ vvv2200)",fontsize=16,color="black",shape="box"];8569 -> 8821[label="",style="solid", color="black", weight=3];
8570[label="primDivNatS Zero (Succ vvv2200)",fontsize=16,color="black",shape="box"];8570 -> 8822[label="",style="solid", color="black", weight=3];
8571[label="primQuotInt (Pos vvv115) (absReal0 (Pos Zero) True)",fontsize=16,color="black",shape="box"];8571 -> 8823[label="",style="solid", color="black", weight=3];
12062[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpInt (Neg (Succ vvv4270)) vvv492 == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpInt (Neg (Succ vvv4270)) vvv492 == LT))) (Neg (Succ vvv423))))",fontsize=16,color="burlywood",shape="box"];30974[label="vvv492/Pos vvv4920",fontsize=10,color="white",style="solid",shape="box"];12062 -> 30974[label="",style="solid", color="burlywood", weight=9];
30974 -> 12187[label="",style="solid", color="burlywood", weight=3];
30975[label="vvv492/Neg vvv4920",fontsize=10,color="white",style="solid",shape="box"];12062 -> 30975[label="",style="solid", color="burlywood", weight=9];
30975 -> 12188[label="",style="solid", color="burlywood", weight=3];
12063[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv492 == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv492 == LT))) (Neg (Succ vvv423))))",fontsize=16,color="burlywood",shape="box"];30976[label="vvv492/Pos vvv4920",fontsize=10,color="white",style="solid",shape="box"];12063 -> 30976[label="",style="solid", color="burlywood", weight=9];
30976 -> 12189[label="",style="solid", color="burlywood", weight=3];
30977[label="vvv492/Neg vvv4920",fontsize=10,color="white",style="solid",shape="box"];12063 -> 30977[label="",style="solid", color="burlywood", weight=9];
30977 -> 12190[label="",style="solid", color="burlywood", weight=3];
12771[label="primRemInt (absReal1 (Neg (Succ vvv2260)) False) (Neg Zero)",fontsize=16,color="black",shape="box"];12771 -> 12988[label="",style="solid", color="black", weight=3];
19398[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat (Succ vvv8100) vvv811 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30978[label="vvv811/Succ vvv8110",fontsize=10,color="white",style="solid",shape="box"];19398 -> 30978[label="",style="solid", color="burlywood", weight=9];
30978 -> 19467[label="",style="solid", color="burlywood", weight=3];
30979[label="vvv811/Zero",fontsize=10,color="white",style="solid",shape="box"];19398 -> 30979[label="",style="solid", color="burlywood", weight=9];
30979 -> 19468[label="",style="solid", color="burlywood", weight=3];
19399[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat Zero vvv811 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30980[label="vvv811/Succ vvv8110",fontsize=10,color="white",style="solid",shape="box"];19399 -> 30980[label="",style="solid", color="burlywood", weight=9];
30980 -> 19469[label="",style="solid", color="burlywood", weight=3];
30981[label="vvv811/Zero",fontsize=10,color="white",style="solid",shape="box"];19399 -> 30981[label="",style="solid", color="burlywood", weight=9];
30981 -> 19470[label="",style="solid", color="burlywood", weight=3];
12774[label="primRemInt (absReal1 (Neg Zero) (not True)) (Neg Zero)",fontsize=16,color="black",shape="box"];12774 -> 12991[label="",style="solid", color="black", weight=3];
12775[label="primRemInt (absReal1 (Neg Zero) (not False)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12775 -> 12992[label="",style="solid", color="black", weight=3];
12776[label="primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12776 -> 12993[label="",style="solid", color="black", weight=3];
11999[label="vvv473000",fontsize=16,color="green",shape="box"];12000[label="vvv295000",fontsize=16,color="green",shape="box"];12002 -> 15[label="",style="dashed", color="red", weight=0];
12002[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];12001[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (Neg Zero `rem` vvv472 == vvv504) vvv472 (Neg Zero `rem` vvv472))",fontsize=16,color="black",shape="triangle"];12001 -> 12072[label="",style="solid", color="black", weight=3];
8603[label="primQuotInt (Neg vvv46) (primNegInt (Neg (Succ vvv2220)))",fontsize=16,color="black",shape="box"];8603 -> 8853[label="",style="solid", color="black", weight=3];
16416[label="primQuotInt (Neg vvv638) (absReal1 (Neg (Succ vvv639)) True)",fontsize=16,color="black",shape="box"];16416 -> 16440[label="",style="solid", color="black", weight=3];
8609[label="primQuotInt (Neg vvv46) (`negate` Neg Zero)",fontsize=16,color="black",shape="box"];8609 -> 8859[label="",style="solid", color="black", weight=3];
12073[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpInt (Pos (Succ vvv4200)) vvv494 == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpInt (Pos (Succ vvv4200)) vvv494 == LT))) (Neg (Succ vvv416))))",fontsize=16,color="burlywood",shape="box"];30983[label="vvv494/Pos vvv4940",fontsize=10,color="white",style="solid",shape="box"];12073 -> 30983[label="",style="solid", color="burlywood", weight=9];
30983 -> 12200[label="",style="solid", color="burlywood", weight=3];
30984[label="vvv494/Neg vvv4940",fontsize=10,color="white",style="solid",shape="box"];12073 -> 30984[label="",style="solid", color="burlywood", weight=9];
30984 -> 12201[label="",style="solid", color="burlywood", weight=3];
12074[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv494 == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv494 == LT))) (Neg (Succ vvv416))))",fontsize=16,color="burlywood",shape="box"];30985[label="vvv494/Pos vvv4940",fontsize=10,color="white",style="solid",shape="box"];12074 -> 30985[label="",style="solid", color="burlywood", weight=9];
30985 -> 12202[label="",style="solid", color="burlywood", weight=3];
30986[label="vvv494/Neg vvv4940",fontsize=10,color="white",style="solid",shape="box"];12074 -> 30986[label="",style="solid", color="burlywood", weight=9];
30986 -> 12203[label="",style="solid", color="burlywood", weight=3];
18810[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat (Succ vvv7610) vvv762 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30987[label="vvv762/Succ vvv7620",fontsize=10,color="white",style="solid",shape="box"];18810 -> 30987[label="",style="solid", color="burlywood", weight=9];
30987 -> 18836[label="",style="solid", color="burlywood", weight=3];
30988[label="vvv762/Zero",fontsize=10,color="white",style="solid",shape="box"];18810 -> 30988[label="",style="solid", color="burlywood", weight=9];
30988 -> 18837[label="",style="solid", color="burlywood", weight=3];
18811[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat Zero vvv762 == LT))) (Neg Zero)",fontsize=16,color="burlywood",shape="box"];30989[label="vvv762/Succ vvv7620",fontsize=10,color="white",style="solid",shape="box"];18811 -> 30989[label="",style="solid", color="burlywood", weight=9];
30989 -> 18838[label="",style="solid", color="burlywood", weight=3];
30990[label="vvv762/Zero",fontsize=10,color="white",style="solid",shape="box"];18811 -> 30990[label="",style="solid", color="burlywood", weight=9];
30990 -> 18839[label="",style="solid", color="burlywood", weight=3];
12612[label="primRemInt (absReal1 (Pos (Succ vvv2200)) True) (Neg Zero)",fontsize=16,color="black",shape="box"];12612 -> 12793[label="",style="solid", color="black", weight=3];
12613[label="primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];12613 -> 12794[label="",style="solid", color="black", weight=3];
12614[label="primRemInt (absReal1 (Pos Zero) (not False)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12614 -> 12795[label="",style="solid", color="black", weight=3];
12615 -> 12614[label="",style="dashed", color="red", weight=0];
12615[label="primRemInt (absReal1 (Pos Zero) (not False)) (Neg Zero)",fontsize=16,color="magenta"];12019[label="vvv316000",fontsize=16,color="green",shape="box"];12020[label="vvv471000",fontsize=16,color="green",shape="box"];12022 -> 15[label="",style="dashed", color="red", weight=0];
12022[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];12021[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (Neg Zero `rem` vvv470 == vvv505) vvv470 (Neg Zero `rem` vvv470))",fontsize=16,color="black",shape="triangle"];12021 -> 12085[label="",style="solid", color="black", weight=3];
8658[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) vvv371 == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) vvv371 == LT))) (Pos (Succ vvv520))))",fontsize=16,color="burlywood",shape="box"];30993[label="vvv371/Pos vvv3710",fontsize=10,color="white",style="solid",shape="box"];8658 -> 30993[label="",style="solid", color="burlywood", weight=9];
30993 -> 8910[label="",style="solid", color="burlywood", weight=3];
30994[label="vvv371/Neg vvv3710",fontsize=10,color="white",style="solid",shape="box"];8658 -> 30994[label="",style="solid", color="burlywood", weight=9];
30994 -> 8911[label="",style="solid", color="burlywood", weight=3];
8659[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv371 == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv371 == LT))) (Pos (Succ vvv520))))",fontsize=16,color="burlywood",shape="box"];30995[label="vvv371/Pos vvv3710",fontsize=10,color="white",style="solid",shape="box"];8659 -> 30995[label="",style="solid", color="burlywood", weight=9];
30995 -> 8912[label="",style="solid", color="burlywood", weight=3];
30996[label="vvv371/Neg vvv3710",fontsize=10,color="white",style="solid",shape="box"];8659 -> 30996[label="",style="solid", color="burlywood", weight=9];
30996 -> 8913[label="",style="solid", color="burlywood", weight=3];
12090[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpInt (Pos (Succ vvv4410)) vvv496 == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpInt (Pos (Succ vvv4410)) vvv496 == LT))) (Neg (Succ vvv437))))",fontsize=16,color="burlywood",shape="box"];30997[label="vvv496/Pos vvv4960",fontsize=10,color="white",style="solid",shape="box"];12090 -> 30997[label="",style="solid", color="burlywood", weight=9];
30997 -> 12220[label="",style="solid", color="burlywood", weight=3];
30998[label="vvv496/Neg vvv4960",fontsize=10,color="white",style="solid",shape="box"];12090 -> 30998[label="",style="solid", color="burlywood", weight=9];
30998 -> 12221[label="",style="solid", color="burlywood", weight=3];
12091[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv496 == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) vvv496 == LT))) (Neg (Succ vvv437))))",fontsize=16,color="burlywood",shape="box"];30999[label="vvv496/Pos vvv4960",fontsize=10,color="white",style="solid",shape="box"];12091 -> 30999[label="",style="solid", color="burlywood", weight=9];
30999 -> 12222[label="",style="solid", color="burlywood", weight=3];
31000[label="vvv496/Neg vvv4960",fontsize=10,color="white",style="solid",shape="box"];12091 -> 31000[label="",style="solid", color="burlywood", weight=9];
31000 -> 12223[label="",style="solid", color="burlywood", weight=3];
16833[label="primQuotInt (Neg vvv652) (absReal1 (Pos (Succ vvv653)) False)",fontsize=16,color="black",shape="box"];16833 -> 16871[label="",style="solid", color="black", weight=3];
16834[label="vvv652",fontsize=16,color="green",shape="box"];16835[label="vvv653",fontsize=16,color="green",shape="box"];8692[label="vvv2240",fontsize=16,color="green",shape="box"];8693[label="vvv51",fontsize=16,color="green",shape="box"];8694[label="primQuotInt (Neg vvv51) (absReal0 (Pos Zero) True)",fontsize=16,color="black",shape="box"];8694 -> 8946[label="",style="solid", color="black", weight=3];
8706[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2220)) False) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg (Succ vvv2220)) False) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8706 -> 8966[label="",style="solid", color="black", weight=3];
17603[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat (Succ vvv7010) vvv702 == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat (Succ vvv7010) vvv702 == LT))) (Pos (Succ vvv703))))",fontsize=16,color="burlywood",shape="box"];31001[label="vvv702/Succ vvv7020",fontsize=10,color="white",style="solid",shape="box"];17603 -> 31001[label="",style="solid", color="burlywood", weight=9];
31001 -> 17682[label="",style="solid", color="burlywood", weight=3];
31002[label="vvv702/Zero",fontsize=10,color="white",style="solid",shape="box"];17603 -> 31002[label="",style="solid", color="burlywood", weight=9];
31002 -> 17683[label="",style="solid", color="burlywood", weight=3];
17604[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat Zero vvv702 == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat Zero vvv702 == LT))) (Pos (Succ vvv703))))",fontsize=16,color="burlywood",shape="box"];31003[label="vvv702/Succ vvv7020",fontsize=10,color="white",style="solid",shape="box"];17604 -> 31003[label="",style="solid", color="burlywood", weight=9];
31003 -> 17684[label="",style="solid", color="burlywood", weight=3];
31004[label="vvv702/Zero",fontsize=10,color="white",style="solid",shape="box"];17604 -> 31004[label="",style="solid", color="burlywood", weight=9];
31004 -> 17685[label="",style="solid", color="burlywood", weight=3];
8709[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not True)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not True)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8709 -> 8969[label="",style="solid", color="black", weight=3];
8710[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="triangle"];8710 -> 8970[label="",style="solid", color="black", weight=3];
8711[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8711 -> 8971[label="",style="solid", color="black", weight=3];
12746[label="primRemInt (absReal1 (Neg (Succ vvv2260)) False) (Pos Zero)",fontsize=16,color="black",shape="box"];12746 -> 12955[label="",style="solid", color="black", weight=3];
18242[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat (Succ vvv7380) vvv739 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];31005[label="vvv739/Succ vvv7390",fontsize=10,color="white",style="solid",shape="box"];18242 -> 31005[label="",style="solid", color="burlywood", weight=9];
31005 -> 18276[label="",style="solid", color="burlywood", weight=3];
31006[label="vvv739/Zero",fontsize=10,color="white",style="solid",shape="box"];18242 -> 31006[label="",style="solid", color="burlywood", weight=9];
31006 -> 18277[label="",style="solid", color="burlywood", weight=3];
18243[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat Zero vvv739 == LT))) (Pos Zero)",fontsize=16,color="burlywood",shape="box"];31007[label="vvv739/Succ vvv7390",fontsize=10,color="white",style="solid",shape="box"];18243 -> 31007[label="",style="solid", color="burlywood", weight=9];
31007 -> 18278[label="",style="solid", color="burlywood", weight=3];
31008[label="vvv739/Zero",fontsize=10,color="white",style="solid",shape="box"];18243 -> 31008[label="",style="solid", color="burlywood", weight=9];
31008 -> 18279[label="",style="solid", color="burlywood", weight=3];
12749[label="primRemInt (absReal1 (Neg Zero) (not True)) (Pos Zero)",fontsize=16,color="black",shape="box"];12749 -> 12958[label="",style="solid", color="black", weight=3];
12750[label="primRemInt (absReal1 (Neg Zero) (not False)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12750 -> 12959[label="",style="solid", color="black", weight=3];
12751[label="primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];12751 -> 12960[label="",style="solid", color="black", weight=3];
12044[label="vvv475000",fontsize=16,color="green",shape="box"];12045[label="vvv309000",fontsize=16,color="green",shape="box"];12047 -> 15[label="",style="dashed", color="red", weight=0];
12047[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];12046[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (Pos Zero `rem` vvv474 == vvv506) vvv474 (Pos Zero `rem` vvv474))",fontsize=16,color="black",shape="triangle"];12046 -> 12098[label="",style="solid", color="black", weight=3];
12165 -> 15[label="",style="dashed", color="red", weight=0];
12165[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];12166 -> 15[label="",style="dashed", color="red", weight=0];
12166[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];12164[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv455) (Neg vvv455 >= vvv514)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg vvv455) (Neg vvv455 >= vvv513)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="triangle"];12164 -> 12229[label="",style="solid", color="black", weight=3];
8749[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv2260)) False) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg (Succ vvv2260)) False) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8749 -> 9017[label="",style="solid", color="black", weight=3];
17680[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat (Succ vvv7080) vvv709 == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat (Succ vvv7080) vvv709 == LT))) (Pos (Succ vvv710))))",fontsize=16,color="burlywood",shape="box"];31012[label="vvv709/Succ vvv7090",fontsize=10,color="white",style="solid",shape="box"];17680 -> 31012[label="",style="solid", color="burlywood", weight=9];
31012 -> 17714[label="",style="solid", color="burlywood", weight=3];
31013[label="vvv709/Zero",fontsize=10,color="white",style="solid",shape="box"];17680 -> 31013[label="",style="solid", color="burlywood", weight=9];
31013 -> 17715[label="",style="solid", color="burlywood", weight=3];
17681[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat Zero vvv709 == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat Zero vvv709 == LT))) (Pos (Succ vvv710))))",fontsize=16,color="burlywood",shape="box"];31014[label="vvv709/Succ vvv7090",fontsize=10,color="white",style="solid",shape="box"];17681 -> 31014[label="",style="solid", color="burlywood", weight=9];
31014 -> 17716[label="",style="solid", color="burlywood", weight=3];
31015[label="vvv709/Zero",fontsize=10,color="white",style="solid",shape="box"];17681 -> 31015[label="",style="solid", color="burlywood", weight=9];
31015 -> 17717[label="",style="solid", color="burlywood", weight=3];
8752[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not True)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not True)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8752 -> 9020[label="",style="solid", color="black", weight=3];
8753[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="triangle"];8753 -> 9021[label="",style="solid", color="black", weight=3];
8754[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];8754 -> 9022[label="",style="solid", color="black", weight=3];
8762[label="primQuotInt (Pos vvv71) (primNegInt (Neg (Succ vvv2260)))",fontsize=16,color="black",shape="box"];8762 -> 9031[label="",style="solid", color="black", weight=3];
16870[label="primQuotInt (Pos vvv657) (absReal1 (Neg (Succ vvv658)) True)",fontsize=16,color="black",shape="box"];16870 -> 16889[label="",style="solid", color="black", weight=3];
8768[label="primQuotInt (Pos vvv71) (`negate` Neg Zero)",fontsize=16,color="black",shape="box"];8768 -> 9037[label="",style="solid", color="black", weight=3];
17459[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat (Succ vvv6920) (Succ vvv6930) == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat (Succ vvv6920) (Succ vvv6930) == LT))) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17459 -> 17605[label="",style="solid", color="black", weight=3];
17460[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat (Succ vvv6920) Zero == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat (Succ vvv6920) Zero == LT))) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17460 -> 17606[label="",style="solid", color="black", weight=3];
17461[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat Zero (Succ vvv6930) == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat Zero (Succ vvv6930) == LT))) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17461 -> 17607[label="",style="solid", color="black", weight=3];
17462[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17462 -> 17608[label="",style="solid", color="black", weight=3];
8805[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv2200)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (Pos (Succ vvv2200)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="triangle"];8805 -> 9060[label="",style="solid", color="black", weight=3];
8806[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not True)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) (not True)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8806 -> 9061[label="",style="solid", color="black", weight=3];
8807[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) True) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) True) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];8807 -> 9062[label="",style="solid", color="black", weight=3];
18812[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat (Succ vvv7570) (Succ vvv7580) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18812 -> 18840[label="",style="solid", color="black", weight=3];
18813[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat (Succ vvv7570) Zero == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18813 -> 18841[label="",style="solid", color="black", weight=3];
18814[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat Zero (Succ vvv7580) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18814 -> 18842[label="",style="solid", color="black", weight=3];
18815[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat Zero Zero == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18815 -> 18843[label="",style="solid", color="black", weight=3];
12754[label="primRemInt (Pos (Succ vvv2200)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12754 -> 12965[label="",style="solid", color="black", weight=3];
12755[label="primRemInt (absReal1 (Pos Zero) (not True)) (Pos Zero)",fontsize=16,color="black",shape="box"];12755 -> 12966[label="",style="solid", color="black", weight=3];
12756[label="primRemInt (absReal1 (Pos Zero) True) (Pos Zero)",fontsize=16,color="black",shape="box"];12756 -> 12967[label="",style="solid", color="black", weight=3];
12061[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos Zero `rem` vvv468) vvv503) vvv468 (Pos Zero `rem` vvv468))",fontsize=16,color="black",shape="box"];12061 -> 12186[label="",style="solid", color="black", weight=3];
16403[label="primQuotInt (Pos vvv631) (absReal0 (Pos (Succ vvv632)) otherwise)",fontsize=16,color="black",shape="box"];16403 -> 16417[label="",style="solid", color="black", weight=3];
8821[label="primDivNatS0 vvv1150 vvv2200 (primGEqNatS vvv1150 vvv2200)",fontsize=16,color="burlywood",shape="box"];31016[label="vvv1150/Succ vvv11500",fontsize=10,color="white",style="solid",shape="box"];8821 -> 31016[label="",style="solid", color="burlywood", weight=9];
31016 -> 9074[label="",style="solid", color="burlywood", weight=3];
31017[label="vvv1150/Zero",fontsize=10,color="white",style="solid",shape="box"];8821 -> 31017[label="",style="solid", color="burlywood", weight=9];
31017 -> 9075[label="",style="solid", color="burlywood", weight=3];
8822[label="Zero",fontsize=16,color="green",shape="box"];8823[label="primQuotInt (Pos vvv115) (`negate` Pos Zero)",fontsize=16,color="black",shape="box"];8823 -> 9076[label="",style="solid", color="black", weight=3];
12187[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpInt (Neg (Succ vvv4270)) (Pos vvv4920) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpInt (Neg (Succ vvv4270)) (Pos vvv4920) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12187 -> 12386[label="",style="solid", color="black", weight=3];
12188[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpInt (Neg (Succ vvv4270)) (Neg vvv4920) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpInt (Neg (Succ vvv4270)) (Neg vvv4920) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12188 -> 12387[label="",style="solid", color="black", weight=3];
12189[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv4920) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv4920) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="burlywood",shape="box"];31018[label="vvv4920/Succ vvv49200",fontsize=10,color="white",style="solid",shape="box"];12189 -> 31018[label="",style="solid", color="burlywood", weight=9];
31018 -> 12388[label="",style="solid", color="burlywood", weight=3];
31019[label="vvv4920/Zero",fontsize=10,color="white",style="solid",shape="box"];12189 -> 31019[label="",style="solid", color="burlywood", weight=9];
31019 -> 12389[label="",style="solid", color="burlywood", weight=3];
12190[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv4920) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv4920) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="burlywood",shape="box"];31020[label="vvv4920/Succ vvv49200",fontsize=10,color="white",style="solid",shape="box"];12190 -> 31020[label="",style="solid", color="burlywood", weight=9];
31020 -> 12390[label="",style="solid", color="burlywood", weight=3];
31021[label="vvv4920/Zero",fontsize=10,color="white",style="solid",shape="box"];12190 -> 31021[label="",style="solid", color="burlywood", weight=9];
31021 -> 12391[label="",style="solid", color="burlywood", weight=3];
12988[label="primRemInt (absReal0 (Neg (Succ vvv2260)) otherwise) (Neg Zero)",fontsize=16,color="black",shape="box"];12988 -> 13158[label="",style="solid", color="black", weight=3];
19467[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat (Succ vvv8100) (Succ vvv8110) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];19467 -> 19558[label="",style="solid", color="black", weight=3];
19468[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat (Succ vvv8100) Zero == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];19468 -> 19559[label="",style="solid", color="black", weight=3];
19469[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat Zero (Succ vvv8110) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];19469 -> 19560[label="",style="solid", color="black", weight=3];
19470[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat Zero Zero == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];19470 -> 19561[label="",style="solid", color="black", weight=3];
12991[label="primRemInt (absReal1 (Neg Zero) False) (Neg Zero)",fontsize=16,color="black",shape="box"];12991 -> 13163[label="",style="solid", color="black", weight=3];
12992[label="primRemInt (absReal1 (Neg Zero) True) (Neg Zero)",fontsize=16,color="black",shape="box"];12992 -> 13164[label="",style="solid", color="black", weight=3];
12993 -> 12775[label="",style="dashed", color="red", weight=0];
12993[label="primRemInt (absReal1 (Neg Zero) (not False)) (Neg Zero)",fontsize=16,color="magenta"];12072[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg Zero `rem` vvv472) vvv504) vvv472 (Neg Zero `rem` vvv472))",fontsize=16,color="black",shape="box"];12072 -> 12199[label="",style="solid", color="black", weight=3];
8853 -> 7966[label="",style="dashed", color="red", weight=0];
8853[label="primQuotInt (Neg vvv46) (Pos (Succ vvv2220))",fontsize=16,color="magenta"];8853 -> 9108[label="",style="dashed", color="magenta", weight=3];
8853 -> 9109[label="",style="dashed", color="magenta", weight=3];
16440 -> 13605[label="",style="dashed", color="red", weight=0];
16440[label="primQuotInt (Neg vvv638) (Neg (Succ vvv639))",fontsize=16,color="magenta"];16440 -> 16456[label="",style="dashed", color="magenta", weight=3];
16440 -> 16457[label="",style="dashed", color="magenta", weight=3];
8859[label="primQuotInt (Neg vvv46) (primNegInt (Neg Zero))",fontsize=16,color="black",shape="box"];8859 -> 9115[label="",style="solid", color="black", weight=3];
12200[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpInt (Pos (Succ vvv4200)) (Pos vvv4940) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpInt (Pos (Succ vvv4200)) (Pos vvv4940) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12200 -> 12405[label="",style="solid", color="black", weight=3];
12201[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpInt (Pos (Succ vvv4200)) (Neg vvv4940) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpInt (Pos (Succ vvv4200)) (Neg vvv4940) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12201 -> 12406[label="",style="solid", color="black", weight=3];
12202[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv4940) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv4940) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="burlywood",shape="box"];31025[label="vvv4940/Succ vvv49400",fontsize=10,color="white",style="solid",shape="box"];12202 -> 31025[label="",style="solid", color="burlywood", weight=9];
31025 -> 12407[label="",style="solid", color="burlywood", weight=3];
31026[label="vvv4940/Zero",fontsize=10,color="white",style="solid",shape="box"];12202 -> 31026[label="",style="solid", color="burlywood", weight=9];
31026 -> 12408[label="",style="solid", color="burlywood", weight=3];
12203[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv4940) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv4940) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="burlywood",shape="box"];31027[label="vvv4940/Succ vvv49400",fontsize=10,color="white",style="solid",shape="box"];12203 -> 31027[label="",style="solid", color="burlywood", weight=9];
31027 -> 12409[label="",style="solid", color="burlywood", weight=3];
31028[label="vvv4940/Zero",fontsize=10,color="white",style="solid",shape="box"];12203 -> 31028[label="",style="solid", color="burlywood", weight=9];
31028 -> 12410[label="",style="solid", color="burlywood", weight=3];
18836[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat (Succ vvv7610) (Succ vvv7620) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];18836 -> 18859[label="",style="solid", color="black", weight=3];
18837[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat (Succ vvv7610) Zero == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];18837 -> 18860[label="",style="solid", color="black", weight=3];
18838[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat Zero (Succ vvv7620) == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];18838 -> 18861[label="",style="solid", color="black", weight=3];
18839[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat Zero Zero == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];18839 -> 18862[label="",style="solid", color="black", weight=3];
12793[label="primRemInt (Pos (Succ vvv2200)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];12793 -> 13023[label="",style="solid", color="black", weight=3];
12794[label="primRemInt (absReal1 (Pos Zero) (not True)) (Neg Zero)",fontsize=16,color="black",shape="box"];12794 -> 13024[label="",style="solid", color="black", weight=3];
12795[label="primRemInt (absReal1 (Pos Zero) True) (Neg Zero)",fontsize=16,color="black",shape="box"];12795 -> 13025[label="",style="solid", color="black", weight=3];
12085[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg Zero `rem` vvv470) vvv505) vvv470 (Neg Zero `rem` vvv470))",fontsize=16,color="black",shape="box"];12085 -> 12214[label="",style="solid", color="black", weight=3];
8910[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) (Pos vvv3710) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) (Pos vvv3710) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];8910 -> 9164[label="",style="solid", color="black", weight=3];
8911[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) (Neg vvv3710) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpInt (Pos (Succ vvv2240)) (Neg vvv3710) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];8911 -> 9165[label="",style="solid", color="black", weight=3];
8912[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv3710) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv3710) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="burlywood",shape="box"];31029[label="vvv3710/Succ vvv37100",fontsize=10,color="white",style="solid",shape="box"];8912 -> 31029[label="",style="solid", color="burlywood", weight=9];
31029 -> 9166[label="",style="solid", color="burlywood", weight=3];
31030[label="vvv3710/Zero",fontsize=10,color="white",style="solid",shape="box"];8912 -> 31030[label="",style="solid", color="burlywood", weight=9];
31030 -> 9167[label="",style="solid", color="burlywood", weight=3];
8913[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv3710) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv3710) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="burlywood",shape="box"];31031[label="vvv3710/Succ vvv37100",fontsize=10,color="white",style="solid",shape="box"];8913 -> 31031[label="",style="solid", color="burlywood", weight=9];
31031 -> 9168[label="",style="solid", color="burlywood", weight=3];
31032[label="vvv3710/Zero",fontsize=10,color="white",style="solid",shape="box"];8913 -> 31032[label="",style="solid", color="burlywood", weight=9];
31032 -> 9169[label="",style="solid", color="burlywood", weight=3];
12220[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpInt (Pos (Succ vvv4410)) (Pos vvv4960) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpInt (Pos (Succ vvv4410)) (Pos vvv4960) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12220 -> 12435[label="",style="solid", color="black", weight=3];
12221[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpInt (Pos (Succ vvv4410)) (Neg vvv4960) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpInt (Pos (Succ vvv4410)) (Neg vvv4960) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12221 -> 12436[label="",style="solid", color="black", weight=3];
12222[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv4960) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos vvv4960) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="burlywood",shape="box"];31033[label="vvv4960/Succ vvv49600",fontsize=10,color="white",style="solid",shape="box"];12222 -> 31033[label="",style="solid", color="burlywood", weight=9];
31033 -> 12437[label="",style="solid", color="burlywood", weight=3];
31034[label="vvv4960/Zero",fontsize=10,color="white",style="solid",shape="box"];12222 -> 31034[label="",style="solid", color="burlywood", weight=9];
31034 -> 12438[label="",style="solid", color="burlywood", weight=3];
12223[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv4960) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg vvv4960) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="burlywood",shape="box"];31035[label="vvv4960/Succ vvv49600",fontsize=10,color="white",style="solid",shape="box"];12223 -> 31035[label="",style="solid", color="burlywood", weight=9];
31035 -> 12439[label="",style="solid", color="burlywood", weight=3];
31036[label="vvv4960/Zero",fontsize=10,color="white",style="solid",shape="box"];12223 -> 31036[label="",style="solid", color="burlywood", weight=9];
31036 -> 12440[label="",style="solid", color="burlywood", weight=3];
16871[label="primQuotInt (Neg vvv652) (absReal0 (Pos (Succ vvv653)) otherwise)",fontsize=16,color="black",shape="box"];16871 -> 16890[label="",style="solid", color="black", weight=3];
8946[label="primQuotInt (Neg vvv51) (`negate` Pos Zero)",fontsize=16,color="black",shape="box"];8946 -> 9203[label="",style="solid", color="black", weight=3];
8966[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv2220)) otherwise) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal0 (Neg (Succ vvv2220)) otherwise) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8966 -> 9216[label="",style="solid", color="black", weight=3];
17682[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat (Succ vvv7010) (Succ vvv7020) == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat (Succ vvv7010) (Succ vvv7020) == LT))) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="box"];17682 -> 17718[label="",style="solid", color="black", weight=3];
17683[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat (Succ vvv7010) Zero == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat (Succ vvv7010) Zero == LT))) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="box"];17683 -> 17719[label="",style="solid", color="black", weight=3];
17684[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat Zero (Succ vvv7020) == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat Zero (Succ vvv7020) == LT))) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="box"];17684 -> 17720[label="",style="solid", color="black", weight=3];
17685[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="box"];17685 -> 17721[label="",style="solid", color="black", weight=3];
8969[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) False) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) False) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8969 -> 9221[label="",style="solid", color="black", weight=3];
8970[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) True) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) True) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];8970 -> 9222[label="",style="solid", color="black", weight=3];
8971 -> 8710[label="",style="dashed", color="red", weight=0];
8971[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv470))))",fontsize=16,color="magenta"];12955[label="primRemInt (absReal0 (Neg (Succ vvv2260)) otherwise) (Pos Zero)",fontsize=16,color="black",shape="box"];12955 -> 13130[label="",style="solid", color="black", weight=3];
18276[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat (Succ vvv7380) (Succ vvv7390) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18276 -> 18302[label="",style="solid", color="black", weight=3];
18277[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat (Succ vvv7380) Zero == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18277 -> 18303[label="",style="solid", color="black", weight=3];
18278[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat Zero (Succ vvv7390) == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18278 -> 18304[label="",style="solid", color="black", weight=3];
18279[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat Zero Zero == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18279 -> 18305[label="",style="solid", color="black", weight=3];
12958[label="primRemInt (absReal1 (Neg Zero) False) (Pos Zero)",fontsize=16,color="black",shape="box"];12958 -> 13135[label="",style="solid", color="black", weight=3];
12959[label="primRemInt (absReal1 (Neg Zero) True) (Pos Zero)",fontsize=16,color="black",shape="box"];12959 -> 13136[label="",style="solid", color="black", weight=3];
12960 -> 12750[label="",style="dashed", color="red", weight=0];
12960[label="primRemInt (absReal1 (Neg Zero) (not False)) (Pos Zero)",fontsize=16,color="magenta"];12098[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos Zero `rem` vvv474) vvv506) vvv474 (Pos Zero `rem` vvv474))",fontsize=16,color="black",shape="box"];12098 -> 12228[label="",style="solid", color="black", weight=3];
12229[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv455) (compare (Neg vvv455) vvv514 /= LT)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg vvv455) (compare (Neg vvv455) vvv514 /= LT)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];12229 -> 12448[label="",style="solid", color="black", weight=3];
9017[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv2260)) otherwise) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal0 (Neg (Succ vvv2260)) otherwise) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];9017 -> 9270[label="",style="solid", color="black", weight=3];
17714[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat (Succ vvv7080) (Succ vvv7090) == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat (Succ vvv7080) (Succ vvv7090) == LT))) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="box"];17714 -> 17745[label="",style="solid", color="black", weight=3];
17715[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat (Succ vvv7080) Zero == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat (Succ vvv7080) Zero == LT))) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="box"];17715 -> 17746[label="",style="solid", color="black", weight=3];
17716[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat Zero (Succ vvv7090) == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat Zero (Succ vvv7090) == LT))) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="box"];17716 -> 17747[label="",style="solid", color="black", weight=3];
17717[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="box"];17717 -> 17748[label="",style="solid", color="black", weight=3];
9020[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) False) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) False) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];9020 -> 9275[label="",style="solid", color="black", weight=3];
9021[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) True) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) True) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];9021 -> 9276[label="",style="solid", color="black", weight=3];
9022 -> 8753[label="",style="dashed", color="red", weight=0];
9022[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal1 (Neg Zero) (not False)) (Pos (Succ vvv720))))",fontsize=16,color="magenta"];9031 -> 7805[label="",style="dashed", color="red", weight=0];
9031[label="primQuotInt (Pos vvv71) (Pos (Succ vvv2260))",fontsize=16,color="magenta"];9031 -> 9284[label="",style="dashed", color="magenta", weight=3];
9031 -> 9285[label="",style="dashed", color="magenta", weight=3];
16889 -> 13583[label="",style="dashed", color="red", weight=0];
16889[label="primQuotInt (Pos vvv657) (Neg (Succ vvv658))",fontsize=16,color="magenta"];16889 -> 16893[label="",style="dashed", color="magenta", weight=3];
16889 -> 16894[label="",style="dashed", color="magenta", weight=3];
9037[label="primQuotInt (Pos vvv71) (primNegInt (Neg Zero))",fontsize=16,color="black",shape="box"];9037 -> 9291[label="",style="solid", color="black", weight=3];
17605 -> 17328[label="",style="dashed", color="red", weight=0];
17605[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat vvv6920 vvv6930 == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (primCmpNat vvv6920 vvv6930 == LT))) (Pos (Succ vvv694))))",fontsize=16,color="magenta"];17605 -> 17686[label="",style="dashed", color="magenta", weight=3];
17605 -> 17687[label="",style="dashed", color="magenta", weight=3];
17606 -> 8114[label="",style="dashed", color="red", weight=0];
17606[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (GT == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (GT == LT))) (Pos (Succ vvv694))))",fontsize=16,color="magenta"];17606 -> 17688[label="",style="dashed", color="magenta", weight=3];
17606 -> 17689[label="",style="dashed", color="magenta", weight=3];
17606 -> 17690[label="",style="dashed", color="magenta", weight=3];
17606 -> 17691[label="",style="dashed", color="magenta", weight=3];
17607[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (LT == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (LT == LT))) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17607 -> 17692[label="",style="solid", color="black", weight=3];
17608[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not (EQ == LT))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not (EQ == LT))) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17608 -> 17693[label="",style="solid", color="black", weight=3];
9060 -> 20697[label="",style="dashed", color="red", weight=0];
9060[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv2200) (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (Pos (primModNatS (Succ vvv2200) (Succ vvv1160))))",fontsize=16,color="magenta"];9060 -> 20698[label="",style="dashed", color="magenta", weight=3];
9060 -> 20699[label="",style="dashed", color="magenta", weight=3];
9060 -> 20700[label="",style="dashed", color="magenta", weight=3];
9060 -> 20701[label="",style="dashed", color="magenta", weight=3];
9060 -> 20702[label="",style="dashed", color="magenta", weight=3];
9061[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) False) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal1 (Pos Zero) False) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];9061 -> 9364[label="",style="solid", color="black", weight=3];
9062[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (Pos Zero) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="triangle"];9062 -> 9365[label="",style="solid", color="black", weight=3];
18840 -> 18652[label="",style="dashed", color="red", weight=0];
18840[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (primCmpNat vvv7570 vvv7580 == LT))) (Pos Zero)",fontsize=16,color="magenta"];18840 -> 18863[label="",style="dashed", color="magenta", weight=3];
18840 -> 18864[label="",style="dashed", color="magenta", weight=3];
18841 -> 12181[label="",style="dashed", color="red", weight=0];
18841[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (GT == LT))) (Pos Zero)",fontsize=16,color="magenta"];18841 -> 18865[label="",style="dashed", color="magenta", weight=3];
18842[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (LT == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18842 -> 18866[label="",style="solid", color="black", weight=3];
18843[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not (EQ == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18843 -> 18867[label="",style="solid", color="black", weight=3];
12965 -> 8350[label="",style="dashed", color="red", weight=0];
12965[label="error []",fontsize=16,color="magenta"];12966[label="primRemInt (absReal1 (Pos Zero) False) (Pos Zero)",fontsize=16,color="black",shape="box"];12966 -> 13141[label="",style="solid", color="black", weight=3];
12967[label="primRemInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="triangle"];12967 -> 13142[label="",style="solid", color="black", weight=3];
12186[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) vvv468) vvv503) vvv468 (primRemInt (Pos Zero) vvv468))",fontsize=16,color="burlywood",shape="triangle"];31048[label="vvv468/Pos vvv4680",fontsize=10,color="white",style="solid",shape="box"];12186 -> 31048[label="",style="solid", color="burlywood", weight=9];
31048 -> 12384[label="",style="solid", color="burlywood", weight=3];
31049[label="vvv468/Neg vvv4680",fontsize=10,color="white",style="solid",shape="box"];12186 -> 31049[label="",style="solid", color="burlywood", weight=9];
31049 -> 12385[label="",style="solid", color="burlywood", weight=3];
16417[label="primQuotInt (Pos vvv631) (absReal0 (Pos (Succ vvv632)) True)",fontsize=16,color="black",shape="box"];16417 -> 16441[label="",style="solid", color="black", weight=3];
9074[label="primDivNatS0 (Succ vvv11500) vvv2200 (primGEqNatS (Succ vvv11500) vvv2200)",fontsize=16,color="burlywood",shape="box"];31050[label="vvv2200/Succ vvv22000",fontsize=10,color="white",style="solid",shape="box"];9074 -> 31050[label="",style="solid", color="burlywood", weight=9];
31050 -> 9377[label="",style="solid", color="burlywood", weight=3];
31051[label="vvv2200/Zero",fontsize=10,color="white",style="solid",shape="box"];9074 -> 31051[label="",style="solid", color="burlywood", weight=9];
31051 -> 9378[label="",style="solid", color="burlywood", weight=3];
9075[label="primDivNatS0 Zero vvv2200 (primGEqNatS Zero vvv2200)",fontsize=16,color="burlywood",shape="box"];31052[label="vvv2200/Succ vvv22000",fontsize=10,color="white",style="solid",shape="box"];9075 -> 31052[label="",style="solid", color="burlywood", weight=9];
31052 -> 9379[label="",style="solid", color="burlywood", weight=3];
31053[label="vvv2200/Zero",fontsize=10,color="white",style="solid",shape="box"];9075 -> 31053[label="",style="solid", color="burlywood", weight=9];
31053 -> 9380[label="",style="solid", color="burlywood", weight=3];
9076[label="primQuotInt (Pos vvv115) (primNegInt (Pos Zero))",fontsize=16,color="black",shape="box"];9076 -> 9381[label="",style="solid", color="black", weight=3];
12386[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (LT == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (LT == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="triangle"];12386 -> 12573[label="",style="solid", color="black", weight=3];
12387 -> 19304[label="",style="dashed", color="red", weight=0];
12387[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpNat vvv4920 (Succ vvv4270) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg (Succ vvv4270)) (not (primCmpNat vvv4920 (Succ vvv4270) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="magenta"];12387 -> 19305[label="",style="dashed", color="magenta", weight=3];
12387 -> 19306[label="",style="dashed", color="magenta", weight=3];
12387 -> 19307[label="",style="dashed", color="magenta", weight=3];
12387 -> 19308[label="",style="dashed", color="magenta", weight=3];
12387 -> 19309[label="",style="dashed", color="magenta", weight=3];
12387 -> 19310[label="",style="dashed", color="magenta", weight=3];
12388[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv49200)) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv49200)) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12388 -> 12576[label="",style="solid", color="black", weight=3];
12389[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12389 -> 12577[label="",style="solid", color="black", weight=3];
12390[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv49200)) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv49200)) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12390 -> 12578[label="",style="solid", color="black", weight=3];
12391[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12391 -> 12579[label="",style="solid", color="black", weight=3];
13158[label="primRemInt (absReal0 (Neg (Succ vvv2260)) True) (Neg Zero)",fontsize=16,color="black",shape="box"];13158 -> 13322[label="",style="solid", color="black", weight=3];
19558 -> 19367[label="",style="dashed", color="red", weight=0];
19558[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (primCmpNat vvv8100 vvv8110 == LT))) (Neg Zero)",fontsize=16,color="magenta"];19558 -> 19657[label="",style="dashed", color="magenta", weight=3];
19558 -> 19658[label="",style="dashed", color="magenta", weight=3];
19559[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (GT == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];19559 -> 19659[label="",style="solid", color="black", weight=3];
19560 -> 12397[label="",style="dashed", color="red", weight=0];
19560[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (LT == LT))) (Neg Zero)",fontsize=16,color="magenta"];19560 -> 19660[label="",style="dashed", color="magenta", weight=3];
19561[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not (EQ == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];19561 -> 19661[label="",style="solid", color="black", weight=3];
13163[label="primRemInt (absReal0 (Neg Zero) otherwise) (Neg Zero)",fontsize=16,color="black",shape="box"];13163 -> 13327[label="",style="solid", color="black", weight=3];
13164[label="primRemInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="triangle"];13164 -> 13328[label="",style="solid", color="black", weight=3];
12199[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) vvv472) vvv504) vvv472 (primRemInt (Neg Zero) vvv472))",fontsize=16,color="burlywood",shape="triangle"];31057[label="vvv472/Pos vvv4720",fontsize=10,color="white",style="solid",shape="box"];12199 -> 31057[label="",style="solid", color="burlywood", weight=9];
31057 -> 12403[label="",style="solid", color="burlywood", weight=3];
31058[label="vvv472/Neg vvv4720",fontsize=10,color="white",style="solid",shape="box"];12199 -> 31058[label="",style="solid", color="burlywood", weight=9];
31058 -> 12404[label="",style="solid", color="burlywood", weight=3];
9108[label="vvv46",fontsize=16,color="green",shape="box"];9109[label="vvv2220",fontsize=16,color="green",shape="box"];16456[label="vvv639",fontsize=16,color="green",shape="box"];16457[label="vvv638",fontsize=16,color="green",shape="box"];13605[label="primQuotInt (Neg vvv51) (Neg (Succ vvv47200))",fontsize=16,color="black",shape="triangle"];13605 -> 13728[label="",style="solid", color="black", weight=3];
9115 -> 8237[label="",style="dashed", color="red", weight=0];
9115[label="primQuotInt (Neg vvv46) (Pos Zero)",fontsize=16,color="magenta"];9115 -> 9465[label="",style="dashed", color="magenta", weight=3];
12405 -> 19404[label="",style="dashed", color="red", weight=0];
12405[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpNat (Succ vvv4200) vvv4940 == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (primCmpNat (Succ vvv4200) vvv4940 == LT))) (Neg (Succ vvv416))))",fontsize=16,color="magenta"];12405 -> 19405[label="",style="dashed", color="magenta", weight=3];
12405 -> 19406[label="",style="dashed", color="magenta", weight=3];
12405 -> 19407[label="",style="dashed", color="magenta", weight=3];
12405 -> 19408[label="",style="dashed", color="magenta", weight=3];
12405 -> 19409[label="",style="dashed", color="magenta", weight=3];
12405 -> 19410[label="",style="dashed", color="magenta", weight=3];
12406[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (GT == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos (Succ vvv4200)) (not (GT == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="triangle"];12406 -> 12599[label="",style="solid", color="black", weight=3];
12407[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv49400)) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv49400)) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12407 -> 12600[label="",style="solid", color="black", weight=3];
12408[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12408 -> 12601[label="",style="solid", color="black", weight=3];
12409[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv49400)) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv49400)) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12409 -> 12602[label="",style="solid", color="black", weight=3];
12410[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12410 -> 12603[label="",style="solid", color="black", weight=3];
18859 -> 18779[label="",style="dashed", color="red", weight=0];
18859[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (primCmpNat vvv7610 vvv7620 == LT))) (Neg Zero)",fontsize=16,color="magenta"];18859 -> 18882[label="",style="dashed", color="magenta", weight=3];
18859 -> 18883[label="",style="dashed", color="magenta", weight=3];
18860 -> 12209[label="",style="dashed", color="red", weight=0];
18860[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (GT == LT))) (Neg Zero)",fontsize=16,color="magenta"];18860 -> 18884[label="",style="dashed", color="magenta", weight=3];
18861[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (LT == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];18861 -> 18885[label="",style="solid", color="black", weight=3];
18862[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not (EQ == LT))) (Neg Zero)",fontsize=16,color="black",shape="box"];18862 -> 18886[label="",style="solid", color="black", weight=3];
13023 -> 8350[label="",style="dashed", color="red", weight=0];
13023[label="error []",fontsize=16,color="magenta"];13024[label="primRemInt (absReal1 (Pos Zero) False) (Neg Zero)",fontsize=16,color="black",shape="box"];13024 -> 13184[label="",style="solid", color="black", weight=3];
13025[label="primRemInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="triangle"];13025 -> 13185[label="",style="solid", color="black", weight=3];
12214[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) vvv470) vvv505) vvv470 (primRemInt (Neg Zero) vvv470))",fontsize=16,color="burlywood",shape="triangle"];31064[label="vvv470/Pos vvv4700",fontsize=10,color="white",style="solid",shape="box"];12214 -> 31064[label="",style="solid", color="burlywood", weight=9];
31064 -> 12427[label="",style="solid", color="burlywood", weight=3];
31065[label="vvv470/Neg vvv4700",fontsize=10,color="white",style="solid",shape="box"];12214 -> 31065[label="",style="solid", color="burlywood", weight=9];
31065 -> 12428[label="",style="solid", color="burlywood", weight=3];
9164 -> 19491[label="",style="dashed", color="red", weight=0];
9164[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpNat (Succ vvv2240) vvv3710 == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (primCmpNat (Succ vvv2240) vvv3710 == LT))) (Pos (Succ vvv520))))",fontsize=16,color="magenta"];9164 -> 19492[label="",style="dashed", color="magenta", weight=3];
9164 -> 19493[label="",style="dashed", color="magenta", weight=3];
9164 -> 19494[label="",style="dashed", color="magenta", weight=3];
9164 -> 19495[label="",style="dashed", color="magenta", weight=3];
9164 -> 19496[label="",style="dashed", color="magenta", weight=3];
9164 -> 19497[label="",style="dashed", color="magenta", weight=3];
9165[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (GT == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos (Succ vvv2240)) (not (GT == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="triangle"];9165 -> 9562[label="",style="solid", color="black", weight=3];
9166[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv37100)) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv37100)) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];9166 -> 9563[label="",style="solid", color="black", weight=3];
9167[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];9167 -> 9564[label="",style="solid", color="black", weight=3];
9168[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv37100)) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv37100)) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];9168 -> 9565[label="",style="solid", color="black", weight=3];
9169[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];9169 -> 9566[label="",style="solid", color="black", weight=3];
12435 -> 19586[label="",style="dashed", color="red", weight=0];
12435[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpNat (Succ vvv4410) vvv4960 == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (primCmpNat (Succ vvv4410) vvv4960 == LT))) (Neg (Succ vvv437))))",fontsize=16,color="magenta"];12435 -> 19587[label="",style="dashed", color="magenta", weight=3];
12435 -> 19588[label="",style="dashed", color="magenta", weight=3];
12435 -> 19589[label="",style="dashed", color="magenta", weight=3];
12435 -> 19590[label="",style="dashed", color="magenta", weight=3];
12435 -> 19591[label="",style="dashed", color="magenta", weight=3];
12435 -> 19592[label="",style="dashed", color="magenta", weight=3];
12436[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (GT == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos (Succ vvv4410)) (not (GT == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="triangle"];12436 -> 12626[label="",style="solid", color="black", weight=3];
12437[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv49600)) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos (Succ vvv49600)) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12437 -> 12627[label="",style="solid", color="black", weight=3];
12438[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Pos Zero) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12438 -> 12628[label="",style="solid", color="black", weight=3];
12439[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv49600)) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg (Succ vvv49600)) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12439 -> 12629[label="",style="solid", color="black", weight=3];
12440[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpInt (Pos Zero) (Neg Zero) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12440 -> 12630[label="",style="solid", color="black", weight=3];
16890[label="primQuotInt (Neg vvv652) (absReal0 (Pos (Succ vvv653)) True)",fontsize=16,color="black",shape="box"];16890 -> 16895[label="",style="solid", color="black", weight=3];
9203[label="primQuotInt (Neg vvv51) (primNegInt (Pos Zero))",fontsize=16,color="black",shape="box"];9203 -> 9661[label="",style="solid", color="black", weight=3];
9216[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv2220)) True) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal0 (Neg (Succ vvv2220)) True) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];9216 -> 9750[label="",style="solid", color="black", weight=3];
17718 -> 17542[label="",style="dashed", color="red", weight=0];
17718[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat vvv7010 vvv7020 == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (primCmpNat vvv7010 vvv7020 == LT))) (Pos (Succ vvv703))))",fontsize=16,color="magenta"];17718 -> 17749[label="",style="dashed", color="magenta", weight=3];
17718 -> 17750[label="",style="dashed", color="magenta", weight=3];
17719[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (GT == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (GT == LT))) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="box"];17719 -> 17751[label="",style="solid", color="black", weight=3];
17720 -> 8257[label="",style="dashed", color="red", weight=0];
17720[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (LT == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (LT == LT))) (Pos (Succ vvv703))))",fontsize=16,color="magenta"];17720 -> 17752[label="",style="dashed", color="magenta", weight=3];
17720 -> 17753[label="",style="dashed", color="magenta", weight=3];
17720 -> 17754[label="",style="dashed", color="magenta", weight=3];
17720 -> 17755[label="",style="dashed", color="magenta", weight=3];
17721[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not (EQ == LT))) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not (EQ == LT))) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="box"];17721 -> 17756[label="",style="solid", color="black", weight=3];
9221[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) otherwise) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal0 (Neg Zero) otherwise) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];9221 -> 9755[label="",style="solid", color="black", weight=3];
9222[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (Neg Zero) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];9222 -> 9756[label="",style="solid", color="black", weight=3];
13130[label="primRemInt (absReal0 (Neg (Succ vvv2260)) True) (Pos Zero)",fontsize=16,color="black",shape="box"];13130 -> 13292[label="",style="solid", color="black", weight=3];
18302 -> 18211[label="",style="dashed", color="red", weight=0];
18302[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (primCmpNat vvv7380 vvv7390 == LT))) (Pos Zero)",fontsize=16,color="magenta"];18302 -> 18600[label="",style="dashed", color="magenta", weight=3];
18302 -> 18601[label="",style="dashed", color="magenta", weight=3];
18303[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (GT == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18303 -> 18602[label="",style="solid", color="black", weight=3];
18304 -> 12371[label="",style="dashed", color="red", weight=0];
18304[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (LT == LT))) (Pos Zero)",fontsize=16,color="magenta"];18304 -> 18603[label="",style="dashed", color="magenta", weight=3];
18305[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not (EQ == LT))) (Pos Zero)",fontsize=16,color="black",shape="box"];18305 -> 18604[label="",style="solid", color="black", weight=3];
13135[label="primRemInt (absReal0 (Neg Zero) otherwise) (Pos Zero)",fontsize=16,color="black",shape="box"];13135 -> 13297[label="",style="solid", color="black", weight=3];
13136[label="primRemInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="triangle"];13136 -> 13298[label="",style="solid", color="black", weight=3];
12228[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) vvv474) vvv506) vvv474 (primRemInt (Pos Zero) vvv474))",fontsize=16,color="burlywood",shape="triangle"];31072[label="vvv474/Pos vvv4740",fontsize=10,color="white",style="solid",shape="box"];12228 -> 31072[label="",style="solid", color="burlywood", weight=9];
31072 -> 12446[label="",style="solid", color="burlywood", weight=3];
31073[label="vvv474/Neg vvv4740",fontsize=10,color="white",style="solid",shape="box"];12228 -> 31073[label="",style="solid", color="burlywood", weight=9];
31073 -> 12447[label="",style="solid", color="burlywood", weight=3];
12448[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv455) (not (compare (Neg vvv455) vvv514 == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg vvv455) (not (compare (Neg vvv455) vvv514 == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];12448 -> 12641[label="",style="solid", color="black", weight=3];
9270[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv2260)) True) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal0 (Neg (Succ vvv2260)) True) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];9270 -> 9860[label="",style="solid", color="black", weight=3];
17745 -> 17619[label="",style="dashed", color="red", weight=0];
17745[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat vvv7080 vvv7090 == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (primCmpNat vvv7080 vvv7090 == LT))) (Pos (Succ vvv710))))",fontsize=16,color="magenta"];17745 -> 17760[label="",style="dashed", color="magenta", weight=3];
17745 -> 17761[label="",style="dashed", color="magenta", weight=3];
17746[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (GT == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (GT == LT))) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="box"];17746 -> 17762[label="",style="solid", color="black", weight=3];
17747 -> 8300[label="",style="dashed", color="red", weight=0];
17747[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (LT == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (LT == LT))) (Pos (Succ vvv710))))",fontsize=16,color="magenta"];17747 -> 17763[label="",style="dashed", color="magenta", weight=3];
17747 -> 17764[label="",style="dashed", color="magenta", weight=3];
17747 -> 17765[label="",style="dashed", color="magenta", weight=3];
17747 -> 17766[label="",style="dashed", color="magenta", weight=3];
17748[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not (EQ == LT))) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not (EQ == LT))) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="box"];17748 -> 17767[label="",style="solid", color="black", weight=3];
9275[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) otherwise) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal0 (Neg Zero) otherwise) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];9275 -> 9865[label="",style="solid", color="black", weight=3];
9276[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (Neg Zero) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="triangle"];9276 -> 9866[label="",style="solid", color="black", weight=3];
9284[label="vvv2260",fontsize=16,color="green",shape="box"];9285[label="vvv71",fontsize=16,color="green",shape="box"];16893[label="vvv658",fontsize=16,color="green",shape="box"];16894[label="vvv657",fontsize=16,color="green",shape="box"];13583[label="primQuotInt (Pos vvv115) (Neg (Succ vvv46800))",fontsize=16,color="black",shape="triangle"];13583 -> 13705[label="",style="solid", color="black", weight=3];
9291 -> 8127[label="",style="dashed", color="red", weight=0];
9291[label="primQuotInt (Pos vvv71) (Pos Zero)",fontsize=16,color="magenta"];9291 -> 9881[label="",style="dashed", color="magenta", weight=3];
17686[label="vvv6920",fontsize=16,color="green",shape="box"];17687[label="vvv6930",fontsize=16,color="green",shape="box"];17688[label="vvv695",fontsize=16,color="green",shape="box"];17689[label="vvv691",fontsize=16,color="green",shape="box"];17690[label="vvv690",fontsize=16,color="green",shape="box"];17691[label="vvv694",fontsize=16,color="green",shape="box"];17692[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not True)) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not True)) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17692 -> 17722[label="",style="solid", color="black", weight=3];
17693 -> 8335[label="",style="dashed", color="red", weight=0];
17693[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) (not False)) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) (not False)) (Pos (Succ vvv694))))",fontsize=16,color="magenta"];17693 -> 17723[label="",style="dashed", color="magenta", weight=3];
17693 -> 17724[label="",style="dashed", color="magenta", weight=3];
17693 -> 17725[label="",style="dashed", color="magenta", weight=3];
17693 -> 17726[label="",style="dashed", color="magenta", weight=3];
20698[label="vvv1160",fontsize=16,color="green",shape="box"];20699[label="Succ vvv2200",fontsize=16,color="green",shape="box"];20700[label="vvv272",fontsize=16,color="green",shape="box"];20701[label="vvv115",fontsize=16,color="green",shape="box"];20702[label="Succ vvv2200",fontsize=16,color="green",shape="box"];20697[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS vvv889 (Succ vvv872))) vvv875) (Pos (Succ vvv872)) (Pos (primModNatS vvv888 (Succ vvv872))))",fontsize=16,color="burlywood",shape="triangle"];31078[label="vvv889/Succ vvv8890",fontsize=10,color="white",style="solid",shape="box"];20697 -> 31078[label="",style="solid", color="burlywood", weight=9];
31078 -> 20735[label="",style="solid", color="burlywood", weight=3];
31079[label="vvv889/Zero",fontsize=10,color="white",style="solid",shape="box"];20697 -> 31079[label="",style="solid", color="burlywood", weight=9];
31079 -> 20736[label="",style="solid", color="burlywood", weight=3];
9364[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) otherwise) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal0 (Pos Zero) otherwise) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];9364 -> 9894[label="",style="solid", color="black", weight=3];
9365 -> 20697[label="",style="dashed", color="red", weight=0];
9365[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (Pos (primModNatS Zero (Succ vvv1160))))",fontsize=16,color="magenta"];9365 -> 20703[label="",style="dashed", color="magenta", weight=3];
9365 -> 20704[label="",style="dashed", color="magenta", weight=3];
9365 -> 20705[label="",style="dashed", color="magenta", weight=3];
9365 -> 20706[label="",style="dashed", color="magenta", weight=3];
9365 -> 20707[label="",style="dashed", color="magenta", weight=3];
18863[label="vvv7570",fontsize=16,color="green",shape="box"];18864[label="vvv7580",fontsize=16,color="green",shape="box"];18865[label="vvv756",fontsize=16,color="green",shape="box"];18866[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not True)) (Pos Zero)",fontsize=16,color="black",shape="box"];18866 -> 18887[label="",style="solid", color="black", weight=3];
18867 -> 12379[label="",style="dashed", color="red", weight=0];
18867[label="primRemInt (absReal1 (Pos (Succ vvv756)) (not False)) (Pos Zero)",fontsize=16,color="magenta"];18867 -> 18888[label="",style="dashed", color="magenta", weight=3];
13141[label="primRemInt (absReal0 (Pos Zero) otherwise) (Pos Zero)",fontsize=16,color="black",shape="box"];13141 -> 13304[label="",style="solid", color="black", weight=3];
13142 -> 8350[label="",style="dashed", color="red", weight=0];
13142[label="error []",fontsize=16,color="magenta"];12384[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos vvv4680)) vvv503) (Pos vvv4680) (primRemInt (Pos Zero) (Pos vvv4680)))",fontsize=16,color="burlywood",shape="box"];31083[label="vvv4680/Succ vvv46800",fontsize=10,color="white",style="solid",shape="box"];12384 -> 31083[label="",style="solid", color="burlywood", weight=9];
31083 -> 12569[label="",style="solid", color="burlywood", weight=3];
31084[label="vvv4680/Zero",fontsize=10,color="white",style="solid",shape="box"];12384 -> 31084[label="",style="solid", color="burlywood", weight=9];
31084 -> 12570[label="",style="solid", color="burlywood", weight=3];
12385[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg vvv4680)) vvv503) (Neg vvv4680) (primRemInt (Pos Zero) (Neg vvv4680)))",fontsize=16,color="burlywood",shape="box"];31085[label="vvv4680/Succ vvv46800",fontsize=10,color="white",style="solid",shape="box"];12385 -> 31085[label="",style="solid", color="burlywood", weight=9];
31085 -> 12571[label="",style="solid", color="burlywood", weight=3];
31086[label="vvv4680/Zero",fontsize=10,color="white",style="solid",shape="box"];12385 -> 31086[label="",style="solid", color="burlywood", weight=9];
31086 -> 12572[label="",style="solid", color="burlywood", weight=3];
16441[label="primQuotInt (Pos vvv631) (`negate` Pos (Succ vvv632))",fontsize=16,color="black",shape="box"];16441 -> 16458[label="",style="solid", color="black", weight=3];
9377[label="primDivNatS0 (Succ vvv11500) (Succ vvv22000) (primGEqNatS (Succ vvv11500) (Succ vvv22000))",fontsize=16,color="black",shape="box"];9377 -> 9910[label="",style="solid", color="black", weight=3];
9378[label="primDivNatS0 (Succ vvv11500) Zero (primGEqNatS (Succ vvv11500) Zero)",fontsize=16,color="black",shape="box"];9378 -> 9911[label="",style="solid", color="black", weight=3];
9379[label="primDivNatS0 Zero (Succ vvv22000) (primGEqNatS Zero (Succ vvv22000))",fontsize=16,color="black",shape="box"];9379 -> 9912[label="",style="solid", color="black", weight=3];
9380[label="primDivNatS0 Zero Zero (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];9380 -> 9913[label="",style="solid", color="black", weight=3];
9381 -> 8315[label="",style="dashed", color="red", weight=0];
9381[label="primQuotInt (Pos vvv115) (Neg Zero)",fontsize=16,color="magenta"];9381 -> 9914[label="",style="dashed", color="magenta", weight=3];
12573[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4270)) (not True)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg (Succ vvv4270)) (not True)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12573 -> 12761[label="",style="solid", color="black", weight=3];
19305[label="vvv4270",fontsize=16,color="green",shape="box"];19306[label="vvv477",fontsize=16,color="green",shape="box"];19307[label="vvv423",fontsize=16,color="green",shape="box"];19308[label="Succ vvv4270",fontsize=16,color="green",shape="box"];19309[label="vvv4920",fontsize=16,color="green",shape="box"];19310[label="vvv422",fontsize=16,color="green",shape="box"];19304[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat vvv804 vvv805 == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat vvv804 vvv805 == LT))) (Neg (Succ vvv806))))",fontsize=16,color="burlywood",shape="triangle"];31088[label="vvv804/Succ vvv8040",fontsize=10,color="white",style="solid",shape="box"];19304 -> 31088[label="",style="solid", color="burlywood", weight=9];
31088 -> 19365[label="",style="solid", color="burlywood", weight=3];
31089[label="vvv804/Zero",fontsize=10,color="white",style="solid",shape="box"];19304 -> 31089[label="",style="solid", color="burlywood", weight=9];
31089 -> 19366[label="",style="solid", color="burlywood", weight=3];
12576[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12576 -> 12764[label="",style="solid", color="black", weight=3];
12577[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="triangle"];12577 -> 12765[label="",style="solid", color="black", weight=3];
12578[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv49200) Zero == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv49200) Zero == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12578 -> 12766[label="",style="solid", color="black", weight=3];
12579 -> 12577[label="",style="dashed", color="red", weight=0];
12579[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv423))))",fontsize=16,color="magenta"];13322[label="primRemInt (`negate` Neg (Succ vvv2260)) (Neg Zero)",fontsize=16,color="black",shape="box"];13322 -> 13448[label="",style="solid", color="black", weight=3];
19657[label="vvv8100",fontsize=16,color="green",shape="box"];19658[label="vvv8110",fontsize=16,color="green",shape="box"];19659[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not False)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];19659 -> 19729[label="",style="solid", color="black", weight=3];
19660[label="vvv809",fontsize=16,color="green",shape="box"];19661 -> 19659[label="",style="dashed", color="red", weight=0];
19661[label="primRemInt (absReal1 (Neg (Succ vvv809)) (not False)) (Neg Zero)",fontsize=16,color="magenta"];13327[label="primRemInt (absReal0 (Neg Zero) True) (Neg Zero)",fontsize=16,color="black",shape="box"];13327 -> 13454[label="",style="solid", color="black", weight=3];
13328 -> 8350[label="",style="dashed", color="red", weight=0];
13328[label="error []",fontsize=16,color="magenta"];12403[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos vvv4720)) vvv504) (Pos vvv4720) (primRemInt (Neg Zero) (Pos vvv4720)))",fontsize=16,color="burlywood",shape="box"];31093[label="vvv4720/Succ vvv47200",fontsize=10,color="white",style="solid",shape="box"];12403 -> 31093[label="",style="solid", color="burlywood", weight=9];
31093 -> 12593[label="",style="solid", color="burlywood", weight=3];
31094[label="vvv4720/Zero",fontsize=10,color="white",style="solid",shape="box"];12403 -> 31094[label="",style="solid", color="burlywood", weight=9];
31094 -> 12594[label="",style="solid", color="burlywood", weight=3];
12404[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg vvv4720)) vvv504) (Neg vvv4720) (primRemInt (Neg Zero) (Neg vvv4720)))",fontsize=16,color="burlywood",shape="box"];31095[label="vvv4720/Succ vvv47200",fontsize=10,color="white",style="solid",shape="box"];12404 -> 31095[label="",style="solid", color="burlywood", weight=9];
31095 -> 12595[label="",style="solid", color="burlywood", weight=3];
31096[label="vvv4720/Zero",fontsize=10,color="white",style="solid",shape="box"];12404 -> 31096[label="",style="solid", color="burlywood", weight=9];
31096 -> 12596[label="",style="solid", color="burlywood", weight=3];
13728[label="Pos (primDivNatS vvv51 (Succ vvv47200))",fontsize=16,color="green",shape="box"];13728 -> 13868[label="",style="dashed", color="green", weight=3];
9465[label="vvv46",fontsize=16,color="green",shape="box"];19405[label="vvv4940",fontsize=16,color="green",shape="box"];19406[label="vvv481",fontsize=16,color="green",shape="box"];19407[label="vvv4200",fontsize=16,color="green",shape="box"];19408[label="vvv415",fontsize=16,color="green",shape="box"];19409[label="vvv416",fontsize=16,color="green",shape="box"];19410[label="Succ vvv4200",fontsize=16,color="green",shape="box"];19404[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat vvv815 vvv816 == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat vvv815 vvv816 == LT))) (Neg (Succ vvv817))))",fontsize=16,color="burlywood",shape="triangle"];31097[label="vvv815/Succ vvv8150",fontsize=10,color="white",style="solid",shape="box"];19404 -> 31097[label="",style="solid", color="burlywood", weight=9];
31097 -> 19465[label="",style="solid", color="burlywood", weight=3];
31098[label="vvv815/Zero",fontsize=10,color="white",style="solid",shape="box"];19404 -> 31098[label="",style="solid", color="burlywood", weight=9];
31098 -> 19466[label="",style="solid", color="burlywood", weight=3];
12599[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4200)) (not False)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos (Succ vvv4200)) (not False)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="triangle"];12599 -> 12783[label="",style="solid", color="black", weight=3];
12600[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv49400) == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv49400) == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12600 -> 12784[label="",style="solid", color="black", weight=3];
12601[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="triangle"];12601 -> 12785[label="",style="solid", color="black", weight=3];
12602[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12602 -> 12786[label="",style="solid", color="black", weight=3];
12603 -> 12601[label="",style="dashed", color="red", weight=0];
12603[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv416))))",fontsize=16,color="magenta"];18882[label="vvv7610",fontsize=16,color="green",shape="box"];18883[label="vvv7620",fontsize=16,color="green",shape="box"];18884[label="vvv760",fontsize=16,color="green",shape="box"];18885[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not True)) (Neg Zero)",fontsize=16,color="black",shape="box"];18885 -> 18931[label="",style="solid", color="black", weight=3];
18886 -> 12422[label="",style="dashed", color="red", weight=0];
18886[label="primRemInt (absReal1 (Pos (Succ vvv760)) (not False)) (Neg Zero)",fontsize=16,color="magenta"];18886 -> 18932[label="",style="dashed", color="magenta", weight=3];
13184[label="primRemInt (absReal0 (Pos Zero) otherwise) (Neg Zero)",fontsize=16,color="black",shape="box"];13184 -> 13351[label="",style="solid", color="black", weight=3];
13185 -> 8350[label="",style="dashed", color="red", weight=0];
13185[label="error []",fontsize=16,color="magenta"];12427[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos vvv4700)) vvv505) (Pos vvv4700) (primRemInt (Neg Zero) (Pos vvv4700)))",fontsize=16,color="burlywood",shape="box"];31102[label="vvv4700/Succ vvv47000",fontsize=10,color="white",style="solid",shape="box"];12427 -> 31102[label="",style="solid", color="burlywood", weight=9];
31102 -> 12616[label="",style="solid", color="burlywood", weight=3];
31103[label="vvv4700/Zero",fontsize=10,color="white",style="solid",shape="box"];12427 -> 31103[label="",style="solid", color="burlywood", weight=9];
31103 -> 12617[label="",style="solid", color="burlywood", weight=3];
12428[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg vvv4700)) vvv505) (Neg vvv4700) (primRemInt (Neg Zero) (Neg vvv4700)))",fontsize=16,color="burlywood",shape="box"];31104[label="vvv4700/Succ vvv47000",fontsize=10,color="white",style="solid",shape="box"];12428 -> 31104[label="",style="solid", color="burlywood", weight=9];
31104 -> 12618[label="",style="solid", color="burlywood", weight=3];
31105[label="vvv4700/Zero",fontsize=10,color="white",style="solid",shape="box"];12428 -> 31105[label="",style="solid", color="burlywood", weight=9];
31105 -> 12619[label="",style="solid", color="burlywood", weight=3];
19492[label="vvv520",fontsize=16,color="green",shape="box"];19493[label="vvv51",fontsize=16,color="green",shape="box"];19494[label="vvv303",fontsize=16,color="green",shape="box"];19495[label="Succ vvv2240",fontsize=16,color="green",shape="box"];19496[label="vvv2240",fontsize=16,color="green",shape="box"];19497[label="vvv3710",fontsize=16,color="green",shape="box"];19491[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat vvv822 vvv823 == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat vvv822 vvv823 == LT))) (Pos (Succ vvv824))))",fontsize=16,color="burlywood",shape="triangle"];31106[label="vvv822/Succ vvv8220",fontsize=10,color="white",style="solid",shape="box"];19491 -> 31106[label="",style="solid", color="burlywood", weight=9];
31106 -> 19552[label="",style="solid", color="burlywood", weight=3];
31107[label="vvv822/Zero",fontsize=10,color="white",style="solid",shape="box"];19491 -> 31107[label="",style="solid", color="burlywood", weight=9];
31107 -> 19553[label="",style="solid", color="burlywood", weight=3];
9562[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2240)) (not False)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos (Succ vvv2240)) (not False)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="triangle"];9562 -> 10017[label="",style="solid", color="black", weight=3];
9563[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv37100) == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv37100) == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];9563 -> 10018[label="",style="solid", color="black", weight=3];
9564[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="triangle"];9564 -> 10019[label="",style="solid", color="black", weight=3];
9565[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];9565 -> 10020[label="",style="solid", color="black", weight=3];
9566 -> 9564[label="",style="dashed", color="red", weight=0];
9566[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Pos (Succ vvv520))))",fontsize=16,color="magenta"];19587[label="vvv4960",fontsize=16,color="green",shape="box"];19588[label="vvv437",fontsize=16,color="green",shape="box"];19589[label="Succ vvv4410",fontsize=16,color="green",shape="box"];19590[label="vvv479",fontsize=16,color="green",shape="box"];19591[label="vvv436",fontsize=16,color="green",shape="box"];19592[label="vvv4410",fontsize=16,color="green",shape="box"];19586[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat vvv829 vvv830 == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat vvv829 vvv830 == LT))) (Neg (Succ vvv831))))",fontsize=16,color="burlywood",shape="triangle"];31109[label="vvv829/Succ vvv8290",fontsize=10,color="white",style="solid",shape="box"];19586 -> 31109[label="",style="solid", color="burlywood", weight=9];
31109 -> 19647[label="",style="solid", color="burlywood", weight=3];
31110[label="vvv829/Zero",fontsize=10,color="white",style="solid",shape="box"];19586 -> 31110[label="",style="solid", color="burlywood", weight=9];
31110 -> 19648[label="",style="solid", color="burlywood", weight=3];
12626[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4410)) (not False)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos (Succ vvv4410)) (not False)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="triangle"];12626 -> 12807[label="",style="solid", color="black", weight=3];
12627[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv49600) == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (primCmpNat Zero (Succ vvv49600) == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12627 -> 12808[label="",style="solid", color="black", weight=3];
12628[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="triangle"];12628 -> 12809[label="",style="solid", color="black", weight=3];
12629[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (GT == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12629 -> 12810[label="",style="solid", color="black", weight=3];
12630 -> 12628[label="",style="dashed", color="red", weight=0];
12630[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (EQ == LT))) (Neg (Succ vvv437))))",fontsize=16,color="magenta"];16895[label="primQuotInt (Neg vvv652) (`negate` Pos (Succ vvv653))",fontsize=16,color="black",shape="box"];16895 -> 17010[label="",style="solid", color="black", weight=3];
9661 -> 8156[label="",style="dashed", color="red", weight=0];
9661[label="primQuotInt (Neg vvv51) (Neg Zero)",fontsize=16,color="magenta"];9661 -> 10041[label="",style="dashed", color="magenta", weight=3];
9750[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg (Succ vvv2220)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (`negate` Neg (Succ vvv2220)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];9750 -> 10051[label="",style="solid", color="black", weight=3];
17749[label="vvv7020",fontsize=16,color="green",shape="box"];17750[label="vvv7010",fontsize=16,color="green",shape="box"];17751[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not False)) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not False)) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="triangle"];17751 -> 17768[label="",style="solid", color="black", weight=3];
17752[label="vvv704",fontsize=16,color="green",shape="box"];17753[label="vvv700",fontsize=16,color="green",shape="box"];17754[label="vvv699",fontsize=16,color="green",shape="box"];17755[label="vvv703",fontsize=16,color="green",shape="box"];17756 -> 17751[label="",style="dashed", color="red", weight=0];
17756[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) (not False)) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) (not False)) (Pos (Succ vvv703))))",fontsize=16,color="magenta"];9755[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) True) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (absReal0 (Neg Zero) True) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];9755 -> 10057[label="",style="solid", color="black", weight=3];
9756 -> 22735[label="",style="dashed", color="red", weight=0];
9756[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (Neg (primModNatS Zero (Succ vvv470))))",fontsize=16,color="magenta"];9756 -> 22736[label="",style="dashed", color="magenta", weight=3];
9756 -> 22737[label="",style="dashed", color="magenta", weight=3];
9756 -> 22738[label="",style="dashed", color="magenta", weight=3];
9756 -> 22739[label="",style="dashed", color="magenta", weight=3];
9756 -> 22740[label="",style="dashed", color="magenta", weight=3];
13292[label="primRemInt (`negate` Neg (Succ vvv2260)) (Pos Zero)",fontsize=16,color="black",shape="box"];13292 -> 13418[label="",style="solid", color="black", weight=3];
18600[label="vvv7380",fontsize=16,color="green",shape="box"];18601[label="vvv7390",fontsize=16,color="green",shape="box"];18602[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not False)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];18602 -> 18616[label="",style="solid", color="black", weight=3];
18603[label="vvv737",fontsize=16,color="green",shape="box"];18604 -> 18602[label="",style="dashed", color="red", weight=0];
18604[label="primRemInt (absReal1 (Neg (Succ vvv737)) (not False)) (Pos Zero)",fontsize=16,color="magenta"];13297[label="primRemInt (absReal0 (Neg Zero) True) (Pos Zero)",fontsize=16,color="black",shape="box"];13297 -> 13424[label="",style="solid", color="black", weight=3];
13298 -> 8350[label="",style="dashed", color="red", weight=0];
13298[label="error []",fontsize=16,color="magenta"];12446[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos vvv4740)) vvv506) (Pos vvv4740) (primRemInt (Pos Zero) (Pos vvv4740)))",fontsize=16,color="burlywood",shape="box"];31117[label="vvv4740/Succ vvv47400",fontsize=10,color="white",style="solid",shape="box"];12446 -> 31117[label="",style="solid", color="burlywood", weight=9];
31117 -> 12637[label="",style="solid", color="burlywood", weight=3];
31118[label="vvv4740/Zero",fontsize=10,color="white",style="solid",shape="box"];12446 -> 31118[label="",style="solid", color="burlywood", weight=9];
31118 -> 12638[label="",style="solid", color="burlywood", weight=3];
12447[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg vvv4740)) vvv506) (Neg vvv4740) (primRemInt (Pos Zero) (Neg vvv4740)))",fontsize=16,color="burlywood",shape="box"];31119[label="vvv4740/Succ vvv47400",fontsize=10,color="white",style="solid",shape="box"];12447 -> 31119[label="",style="solid", color="burlywood", weight=9];
31119 -> 12639[label="",style="solid", color="burlywood", weight=3];
31120[label="vvv4740/Zero",fontsize=10,color="white",style="solid",shape="box"];12447 -> 31120[label="",style="solid", color="burlywood", weight=9];
31120 -> 12640[label="",style="solid", color="burlywood", weight=3];
12641[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg vvv455) (not (primCmpInt (Neg vvv455) vvv514 == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg vvv455) (not (primCmpInt (Neg vvv455) vvv514 == LT))) (Neg (Succ vvv451))))",fontsize=16,color="burlywood",shape="box"];31121[label="vvv455/Succ vvv4550",fontsize=10,color="white",style="solid",shape="box"];12641 -> 31121[label="",style="solid", color="burlywood", weight=9];
31121 -> 12819[label="",style="solid", color="burlywood", weight=3];
31122[label="vvv455/Zero",fontsize=10,color="white",style="solid",shape="box"];12641 -> 31122[label="",style="solid", color="burlywood", weight=9];
31122 -> 12820[label="",style="solid", color="burlywood", weight=3];
9860[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg (Succ vvv2260)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (`negate` Neg (Succ vvv2260)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];9860 -> 10149[label="",style="solid", color="black", weight=3];
17760[label="vvv7080",fontsize=16,color="green",shape="box"];17761[label="vvv7090",fontsize=16,color="green",shape="box"];17762[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not False)) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not False)) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="triangle"];17762 -> 17788[label="",style="solid", color="black", weight=3];
17763[label="vvv707",fontsize=16,color="green",shape="box"];17764[label="vvv710",fontsize=16,color="green",shape="box"];17765[label="vvv706",fontsize=16,color="green",shape="box"];17766[label="vvv711",fontsize=16,color="green",shape="box"];17767 -> 17762[label="",style="dashed", color="red", weight=0];
17767[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) (not False)) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) (not False)) (Pos (Succ vvv710))))",fontsize=16,color="magenta"];9865[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) True) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (absReal0 (Neg Zero) True) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];9865 -> 10155[label="",style="solid", color="black", weight=3];
9866 -> 22992[label="",style="dashed", color="red", weight=0];
9866[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (Neg (primModNatS Zero (Succ vvv720))))",fontsize=16,color="magenta"];9866 -> 22993[label="",style="dashed", color="magenta", weight=3];
9866 -> 22994[label="",style="dashed", color="magenta", weight=3];
9866 -> 22995[label="",style="dashed", color="magenta", weight=3];
9866 -> 22996[label="",style="dashed", color="magenta", weight=3];
9866 -> 22997[label="",style="dashed", color="magenta", weight=3];
13705[label="Neg (primDivNatS vvv115 (Succ vvv46800))",fontsize=16,color="green",shape="box"];13705 -> 13803[label="",style="dashed", color="green", weight=3];
9881[label="vvv71",fontsize=16,color="green",shape="box"];17722[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv691)) False) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal1 (Pos (Succ vvv691)) False) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17722 -> 17757[label="",style="solid", color="black", weight=3];
17723[label="vvv695",fontsize=16,color="green",shape="box"];17724[label="vvv691",fontsize=16,color="green",shape="box"];17725[label="vvv690",fontsize=16,color="green",shape="box"];17726[label="vvv694",fontsize=16,color="green",shape="box"];20735[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv8890) (Succ vvv872))) vvv875) (Pos (Succ vvv872)) (Pos (primModNatS vvv888 (Succ vvv872))))",fontsize=16,color="black",shape="box"];20735 -> 20748[label="",style="solid", color="black", weight=3];
20736[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv872))) vvv875) (Pos (Succ vvv872)) (Pos (primModNatS vvv888 (Succ vvv872))))",fontsize=16,color="black",shape="box"];20736 -> 20749[label="",style="solid", color="black", weight=3];
9894[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) True) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (absReal0 (Pos Zero) True) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];9894 -> 10188[label="",style="solid", color="black", weight=3];
20703[label="vvv1160",fontsize=16,color="green",shape="box"];20704[label="Zero",fontsize=16,color="green",shape="box"];20705[label="vvv272",fontsize=16,color="green",shape="box"];20706[label="vvv115",fontsize=16,color="green",shape="box"];20707[label="Zero",fontsize=16,color="green",shape="box"];18887[label="primRemInt (absReal1 (Pos (Succ vvv756)) False) (Pos Zero)",fontsize=16,color="black",shape="box"];18887 -> 18933[label="",style="solid", color="black", weight=3];
18888[label="vvv756",fontsize=16,color="green",shape="box"];13304[label="primRemInt (absReal0 (Pos Zero) True) (Pos Zero)",fontsize=16,color="black",shape="box"];13304 -> 13431[label="",style="solid", color="black", weight=3];
12569[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos (Succ vvv46800))) vvv503) (Pos (Succ vvv46800)) (primRemInt (Pos Zero) (Pos (Succ vvv46800))))",fontsize=16,color="black",shape="box"];12569 -> 12757[label="",style="solid", color="black", weight=3];
12570[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos Zero)) vvv503) (Pos Zero) (primRemInt (Pos Zero) (Pos Zero)))",fontsize=16,color="black",shape="box"];12570 -> 12758[label="",style="solid", color="black", weight=3];
12571[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg (Succ vvv46800))) vvv503) (Neg (Succ vvv46800)) (primRemInt (Pos Zero) (Neg (Succ vvv46800))))",fontsize=16,color="black",shape="box"];12571 -> 12759[label="",style="solid", color="black", weight=3];
12572[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg Zero)) vvv503) (Neg Zero) (primRemInt (Pos Zero) (Neg Zero)))",fontsize=16,color="black",shape="box"];12572 -> 12760[label="",style="solid", color="black", weight=3];
16458[label="primQuotInt (Pos vvv631) (primNegInt (Pos (Succ vvv632)))",fontsize=16,color="black",shape="box"];16458 -> 16503[label="",style="solid", color="black", weight=3];
9910 -> 19765[label="",style="dashed", color="red", weight=0];
9910[label="primDivNatS0 (Succ vvv11500) (Succ vvv22000) (primGEqNatS vvv11500 vvv22000)",fontsize=16,color="magenta"];9910 -> 19766[label="",style="dashed", color="magenta", weight=3];
9910 -> 19767[label="",style="dashed", color="magenta", weight=3];
9910 -> 19768[label="",style="dashed", color="magenta", weight=3];
9910 -> 19769[label="",style="dashed", color="magenta", weight=3];
9911[label="primDivNatS0 (Succ vvv11500) Zero True",fontsize=16,color="black",shape="box"];9911 -> 10416[label="",style="solid", color="black", weight=3];
9912[label="primDivNatS0 Zero (Succ vvv22000) False",fontsize=16,color="black",shape="box"];9912 -> 10417[label="",style="solid", color="black", weight=3];
9913[label="primDivNatS0 Zero Zero True",fontsize=16,color="black",shape="box"];9913 -> 10418[label="",style="solid", color="black", weight=3];
9914[label="vvv115",fontsize=16,color="green",shape="box"];12761[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4270)) False) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg (Succ vvv4270)) False) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12761 -> 12977[label="",style="solid", color="black", weight=3];
19365[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat (Succ vvv8040) vvv805 == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat (Succ vvv8040) vvv805 == LT))) (Neg (Succ vvv806))))",fontsize=16,color="burlywood",shape="box"];31126[label="vvv805/Succ vvv8050",fontsize=10,color="white",style="solid",shape="box"];19365 -> 31126[label="",style="solid", color="burlywood", weight=9];
31126 -> 19400[label="",style="solid", color="burlywood", weight=3];
31127[label="vvv805/Zero",fontsize=10,color="white",style="solid",shape="box"];19365 -> 31127[label="",style="solid", color="burlywood", weight=9];
31127 -> 19401[label="",style="solid", color="burlywood", weight=3];
19366[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat Zero vvv805 == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat Zero vvv805 == LT))) (Neg (Succ vvv806))))",fontsize=16,color="burlywood",shape="box"];31128[label="vvv805/Succ vvv8050",fontsize=10,color="white",style="solid",shape="box"];19366 -> 31128[label="",style="solid", color="burlywood", weight=9];
31128 -> 19402[label="",style="solid", color="burlywood", weight=3];
31129[label="vvv805/Zero",fontsize=10,color="white",style="solid",shape="box"];19366 -> 31129[label="",style="solid", color="burlywood", weight=9];
31129 -> 19403[label="",style="solid", color="burlywood", weight=3];
12764[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not True)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not True)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12764 -> 12980[label="",style="solid", color="black", weight=3];
12765[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="triangle"];12765 -> 12981[label="",style="solid", color="black", weight=3];
12766[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12766 -> 12982[label="",style="solid", color="black", weight=3];
13448[label="primRemInt (primNegInt (Neg (Succ vvv2260))) (Neg Zero)",fontsize=16,color="black",shape="box"];13448 -> 13597[label="",style="solid", color="black", weight=3];
19729[label="primRemInt (absReal1 (Neg (Succ vvv809)) True) (Neg Zero)",fontsize=16,color="black",shape="box"];19729 -> 19825[label="",style="solid", color="black", weight=3];
13454[label="primRemInt (`negate` Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];13454 -> 13603[label="",style="solid", color="black", weight=3];
12593[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos (Succ vvv47200))) vvv504) (Pos (Succ vvv47200)) (primRemInt (Neg Zero) (Pos (Succ vvv47200))))",fontsize=16,color="black",shape="box"];12593 -> 12777[label="",style="solid", color="black", weight=3];
12594[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos Zero)) vvv504) (Pos Zero) (primRemInt (Neg Zero) (Pos Zero)))",fontsize=16,color="black",shape="box"];12594 -> 12778[label="",style="solid", color="black", weight=3];
12595[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg (Succ vvv47200))) vvv504) (Neg (Succ vvv47200)) (primRemInt (Neg Zero) (Neg (Succ vvv47200))))",fontsize=16,color="black",shape="box"];12595 -> 12779[label="",style="solid", color="black", weight=3];
12596[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg Zero)) vvv504) (Neg Zero) (primRemInt (Neg Zero) (Neg Zero)))",fontsize=16,color="black",shape="box"];12596 -> 12780[label="",style="solid", color="black", weight=3];
13868 -> 8348[label="",style="dashed", color="red", weight=0];
13868[label="primDivNatS vvv51 (Succ vvv47200)",fontsize=16,color="magenta"];13868 -> 14054[label="",style="dashed", color="magenta", weight=3];
13868 -> 14055[label="",style="dashed", color="magenta", weight=3];
19465[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat (Succ vvv8150) vvv816 == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat (Succ vvv8150) vvv816 == LT))) (Neg (Succ vvv817))))",fontsize=16,color="burlywood",shape="box"];31131[label="vvv816/Succ vvv8160",fontsize=10,color="white",style="solid",shape="box"];19465 -> 31131[label="",style="solid", color="burlywood", weight=9];
31131 -> 19554[label="",style="solid", color="burlywood", weight=3];
31132[label="vvv816/Zero",fontsize=10,color="white",style="solid",shape="box"];19465 -> 31132[label="",style="solid", color="burlywood", weight=9];
31132 -> 19555[label="",style="solid", color="burlywood", weight=3];
19466[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat Zero vvv816 == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat Zero vvv816 == LT))) (Neg (Succ vvv817))))",fontsize=16,color="burlywood",shape="box"];31133[label="vvv816/Succ vvv8160",fontsize=10,color="white",style="solid",shape="box"];19466 -> 31133[label="",style="solid", color="burlywood", weight=9];
31133 -> 19556[label="",style="solid", color="burlywood", weight=3];
31134[label="vvv816/Zero",fontsize=10,color="white",style="solid",shape="box"];19466 -> 31134[label="",style="solid", color="burlywood", weight=9];
31134 -> 19557[label="",style="solid", color="burlywood", weight=3];
12783[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4200)) True) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos (Succ vvv4200)) True) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12783 -> 13007[label="",style="solid", color="black", weight=3];
12784[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];12784 -> 13008[label="",style="solid", color="black", weight=3];
12785[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="triangle"];12785 -> 13009[label="",style="solid", color="black", weight=3];
12786 -> 12785[label="",style="dashed", color="red", weight=0];
12786[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv416))))",fontsize=16,color="magenta"];18931[label="primRemInt (absReal1 (Pos (Succ vvv760)) False) (Neg Zero)",fontsize=16,color="black",shape="box"];18931 -> 18955[label="",style="solid", color="black", weight=3];
18932[label="vvv760",fontsize=16,color="green",shape="box"];13351[label="primRemInt (absReal0 (Pos Zero) True) (Neg Zero)",fontsize=16,color="black",shape="box"];13351 -> 13482[label="",style="solid", color="black", weight=3];
12616[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos (Succ vvv47000))) vvv505) (Pos (Succ vvv47000)) (primRemInt (Neg Zero) (Pos (Succ vvv47000))))",fontsize=16,color="black",shape="box"];12616 -> 12796[label="",style="solid", color="black", weight=3];
12617[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos Zero)) vvv505) (Pos Zero) (primRemInt (Neg Zero) (Pos Zero)))",fontsize=16,color="black",shape="box"];12617 -> 12797[label="",style="solid", color="black", weight=3];
12618[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg (Succ vvv47000))) vvv505) (Neg (Succ vvv47000)) (primRemInt (Neg Zero) (Neg (Succ vvv47000))))",fontsize=16,color="black",shape="box"];12618 -> 12798[label="",style="solid", color="black", weight=3];
12619[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg Zero)) vvv505) (Neg Zero) (primRemInt (Neg Zero) (Neg Zero)))",fontsize=16,color="black",shape="box"];12619 -> 12799[label="",style="solid", color="black", weight=3];
19552[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat (Succ vvv8220) vvv823 == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat (Succ vvv8220) vvv823 == LT))) (Pos (Succ vvv824))))",fontsize=16,color="burlywood",shape="box"];31136[label="vvv823/Succ vvv8230",fontsize=10,color="white",style="solid",shape="box"];19552 -> 31136[label="",style="solid", color="burlywood", weight=9];
31136 -> 19649[label="",style="solid", color="burlywood", weight=3];
31137[label="vvv823/Zero",fontsize=10,color="white",style="solid",shape="box"];19552 -> 31137[label="",style="solid", color="burlywood", weight=9];
31137 -> 19650[label="",style="solid", color="burlywood", weight=3];
19553[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat Zero vvv823 == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat Zero vvv823 == LT))) (Pos (Succ vvv824))))",fontsize=16,color="burlywood",shape="box"];31138[label="vvv823/Succ vvv8230",fontsize=10,color="white",style="solid",shape="box"];19553 -> 31138[label="",style="solid", color="burlywood", weight=9];
31138 -> 19651[label="",style="solid", color="burlywood", weight=3];
31139[label="vvv823/Zero",fontsize=10,color="white",style="solid",shape="box"];19553 -> 31139[label="",style="solid", color="burlywood", weight=9];
31139 -> 19652[label="",style="solid", color="burlywood", weight=3];
10017[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv2240)) True) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos (Succ vvv2240)) True) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];10017 -> 10586[label="",style="solid", color="black", weight=3];
10018[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];10018 -> 10587[label="",style="solid", color="black", weight=3];
10019[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="triangle"];10019 -> 10588[label="",style="solid", color="black", weight=3];
10020 -> 10019[label="",style="dashed", color="red", weight=0];
10020[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not False)) (Pos (Succ vvv520))))",fontsize=16,color="magenta"];19647[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat (Succ vvv8290) vvv830 == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat (Succ vvv8290) vvv830 == LT))) (Neg (Succ vvv831))))",fontsize=16,color="burlywood",shape="box"];31141[label="vvv830/Succ vvv8300",fontsize=10,color="white",style="solid",shape="box"];19647 -> 31141[label="",style="solid", color="burlywood", weight=9];
31141 -> 19713[label="",style="solid", color="burlywood", weight=3];
31142[label="vvv830/Zero",fontsize=10,color="white",style="solid",shape="box"];19647 -> 31142[label="",style="solid", color="burlywood", weight=9];
31142 -> 19714[label="",style="solid", color="burlywood", weight=3];
19648[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat Zero vvv830 == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat Zero vvv830 == LT))) (Neg (Succ vvv831))))",fontsize=16,color="burlywood",shape="box"];31143[label="vvv830/Succ vvv8300",fontsize=10,color="white",style="solid",shape="box"];19648 -> 31143[label="",style="solid", color="burlywood", weight=9];
31143 -> 19715[label="",style="solid", color="burlywood", weight=3];
31144[label="vvv830/Zero",fontsize=10,color="white",style="solid",shape="box"];19648 -> 31144[label="",style="solid", color="burlywood", weight=9];
31144 -> 19716[label="",style="solid", color="burlywood", weight=3];
12807[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv4410)) True) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos (Succ vvv4410)) True) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12807 -> 13044[label="",style="solid", color="black", weight=3];
12808[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not (LT == LT))) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];12808 -> 13045[label="",style="solid", color="black", weight=3];
12809[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="triangle"];12809 -> 13046[label="",style="solid", color="black", weight=3];
12810 -> 12809[label="",style="dashed", color="red", weight=0];
12810[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not False)) (Neg (Succ vvv437))))",fontsize=16,color="magenta"];17010[label="primQuotInt (Neg vvv652) (primNegInt (Pos (Succ vvv653)))",fontsize=16,color="black",shape="box"];17010 -> 17037[label="",style="solid", color="black", weight=3];
10041[label="vvv51",fontsize=16,color="green",shape="box"];10051[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg (Succ vvv2220))) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (primNegInt (Neg (Succ vvv2220))) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];10051 -> 10864[label="",style="solid", color="black", weight=3];
17768[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv700)) True) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (absReal1 (Neg (Succ vvv700)) True) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="box"];17768 -> 17789[label="",style="solid", color="black", weight=3];
10057[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg Zero) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (`negate` Neg Zero) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];10057 -> 10870[label="",style="solid", color="black", weight=3];
22736[label="Zero",fontsize=16,color="green",shape="box"];22737[label="Zero",fontsize=16,color="green",shape="box"];22738[label="vvv302",fontsize=16,color="green",shape="box"];22739[label="vvv470",fontsize=16,color="green",shape="box"];22740[label="vvv46",fontsize=16,color="green",shape="box"];22735[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS vvv1048 (Succ vvv1030))) vvv1033) (Pos (Succ vvv1030)) (Neg (primModNatS vvv1047 (Succ vvv1030))))",fontsize=16,color="burlywood",shape="triangle"];31146[label="vvv1048/Succ vvv10480",fontsize=10,color="white",style="solid",shape="box"];22735 -> 31146[label="",style="solid", color="burlywood", weight=9];
31146 -> 22768[label="",style="solid", color="burlywood", weight=3];
31147[label="vvv1048/Zero",fontsize=10,color="white",style="solid",shape="box"];22735 -> 31147[label="",style="solid", color="burlywood", weight=9];
31147 -> 22769[label="",style="solid", color="burlywood", weight=3];
13418[label="primRemInt (primNegInt (Neg (Succ vvv2260))) (Pos Zero)",fontsize=16,color="black",shape="box"];13418 -> 13569[label="",style="solid", color="black", weight=3];
18616[label="primRemInt (absReal1 (Neg (Succ vvv737)) True) (Pos Zero)",fontsize=16,color="black",shape="box"];18616 -> 18685[label="",style="solid", color="black", weight=3];
13424[label="primRemInt (`negate` Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];13424 -> 13575[label="",style="solid", color="black", weight=3];
12637[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos (Succ vvv47400))) vvv506) (Pos (Succ vvv47400)) (primRemInt (Pos Zero) (Pos (Succ vvv47400))))",fontsize=16,color="black",shape="box"];12637 -> 12815[label="",style="solid", color="black", weight=3];
12638[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos Zero)) vvv506) (Pos Zero) (primRemInt (Pos Zero) (Pos Zero)))",fontsize=16,color="black",shape="box"];12638 -> 12816[label="",style="solid", color="black", weight=3];
12639[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg (Succ vvv47400))) vvv506) (Neg (Succ vvv47400)) (primRemInt (Pos Zero) (Neg (Succ vvv47400))))",fontsize=16,color="black",shape="box"];12639 -> 12817[label="",style="solid", color="black", weight=3];
12640[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg Zero)) vvv506) (Neg Zero) (primRemInt (Pos Zero) (Neg Zero)))",fontsize=16,color="black",shape="box"];12640 -> 12818[label="",style="solid", color="black", weight=3];
12819[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpInt (Neg (Succ vvv4550)) vvv514 == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpInt (Neg (Succ vvv4550)) vvv514 == LT))) (Neg (Succ vvv451))))",fontsize=16,color="burlywood",shape="box"];31148[label="vvv514/Pos vvv5140",fontsize=10,color="white",style="solid",shape="box"];12819 -> 31148[label="",style="solid", color="burlywood", weight=9];
31148 -> 13063[label="",style="solid", color="burlywood", weight=3];
31149[label="vvv514/Neg vvv5140",fontsize=10,color="white",style="solid",shape="box"];12819 -> 31149[label="",style="solid", color="burlywood", weight=9];
31149 -> 13064[label="",style="solid", color="burlywood", weight=3];
12820[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv514 == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) vvv514 == LT))) (Neg (Succ vvv451))))",fontsize=16,color="burlywood",shape="box"];31150[label="vvv514/Pos vvv5140",fontsize=10,color="white",style="solid",shape="box"];12820 -> 31150[label="",style="solid", color="burlywood", weight=9];
31150 -> 13065[label="",style="solid", color="burlywood", weight=3];
31151[label="vvv514/Neg vvv5140",fontsize=10,color="white",style="solid",shape="box"];12820 -> 31151[label="",style="solid", color="burlywood", weight=9];
31151 -> 13066[label="",style="solid", color="burlywood", weight=3];
10149[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg (Succ vvv2260))) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (primNegInt (Neg (Succ vvv2260))) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];10149 -> 10893[label="",style="solid", color="black", weight=3];
17788[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv707)) True) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (absReal1 (Neg (Succ vvv707)) True) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="box"];17788 -> 17826[label="",style="solid", color="black", weight=3];
10155[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg Zero) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (`negate` Neg Zero) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];10155 -> 10899[label="",style="solid", color="black", weight=3];
22993[label="vvv71",fontsize=16,color="green",shape="box"];22994[label="Zero",fontsize=16,color="green",shape="box"];22995[label="vvv286",fontsize=16,color="green",shape="box"];22996[label="vvv720",fontsize=16,color="green",shape="box"];22997[label="Zero",fontsize=16,color="green",shape="box"];22992[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS vvv1053 (Succ vvv1043))) vvv1046) (Pos (Succ vvv1043)) (Neg (primModNatS vvv1052 (Succ vvv1043))))",fontsize=16,color="burlywood",shape="triangle"];31152[label="vvv1053/Succ vvv10530",fontsize=10,color="white",style="solid",shape="box"];22992 -> 31152[label="",style="solid", color="burlywood", weight=9];
31152 -> 23025[label="",style="solid", color="burlywood", weight=3];
31153[label="vvv1053/Zero",fontsize=10,color="white",style="solid",shape="box"];22992 -> 31153[label="",style="solid", color="burlywood", weight=9];
31153 -> 23026[label="",style="solid", color="burlywood", weight=3];
13803 -> 8348[label="",style="dashed", color="red", weight=0];
13803[label="primDivNatS vvv115 (Succ vvv46800)",fontsize=16,color="magenta"];13803 -> 14041[label="",style="dashed", color="magenta", weight=3];
17757[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv691)) otherwise) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal0 (Pos (Succ vvv691)) otherwise) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17757 -> 17769[label="",style="solid", color="black", weight=3];
20748[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 vvv8890 vvv872 (primGEqNatS vvv8890 vvv872))) vvv875) (Pos (Succ vvv872)) (Pos (primModNatS0 vvv8890 vvv872 (primGEqNatS vvv8890 vvv872))))",fontsize=16,color="burlywood",shape="box"];31155[label="vvv8890/Succ vvv88900",fontsize=10,color="white",style="solid",shape="box"];20748 -> 31155[label="",style="solid", color="burlywood", weight=9];
31155 -> 20797[label="",style="solid", color="burlywood", weight=3];
31156[label="vvv8890/Zero",fontsize=10,color="white",style="solid",shape="box"];20748 -> 31156[label="",style="solid", color="burlywood", weight=9];
31156 -> 20798[label="",style="solid", color="burlywood", weight=3];
20749[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv875) (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31157[label="vvv875/Pos vvv8750",fontsize=10,color="white",style="solid",shape="box"];20749 -> 31157[label="",style="solid", color="burlywood", weight=9];
31157 -> 20799[label="",style="solid", color="burlywood", weight=3];
31158[label="vvv875/Neg vvv8750",fontsize=10,color="white",style="solid",shape="box"];20749 -> 31158[label="",style="solid", color="burlywood", weight=9];
31158 -> 20800[label="",style="solid", color="burlywood", weight=3];
10188[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos Zero) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (`negate` Pos Zero) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];10188 -> 10922[label="",style="solid", color="black", weight=3];
18933[label="primRemInt (absReal0 (Pos (Succ vvv756)) otherwise) (Pos Zero)",fontsize=16,color="black",shape="box"];18933 -> 18956[label="",style="solid", color="black", weight=3];
13431[label="primRemInt (`negate` Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];13431 -> 13581[label="",style="solid", color="black", weight=3];
12757 -> 20697[label="",style="dashed", color="red", weight=0];
12757[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv46800))) vvv503) (Pos (Succ vvv46800)) (Pos (primModNatS Zero (Succ vvv46800))))",fontsize=16,color="magenta"];12757 -> 20708[label="",style="dashed", color="magenta", weight=3];
12757 -> 20709[label="",style="dashed", color="magenta", weight=3];
12757 -> 20710[label="",style="dashed", color="magenta", weight=3];
12757 -> 20711[label="",style="dashed", color="magenta", weight=3];
12757 -> 20712[label="",style="dashed", color="magenta", weight=3];
12758 -> 10195[label="",style="dashed", color="red", weight=0];
12758[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (error []) vvv503) (Pos Zero) (error []))",fontsize=16,color="magenta"];12758 -> 12970[label="",style="dashed", color="magenta", weight=3];
12758 -> 12971[label="",style="dashed", color="magenta", weight=3];
12758 -> 12972[label="",style="dashed", color="magenta", weight=3];
12759 -> 22527[label="",style="dashed", color="red", weight=0];
12759[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv46800))) vvv503) (Neg (Succ vvv46800)) (Pos (primModNatS Zero (Succ vvv46800))))",fontsize=16,color="magenta"];12759 -> 22528[label="",style="dashed", color="magenta", weight=3];
12759 -> 22529[label="",style="dashed", color="magenta", weight=3];
12759 -> 22530[label="",style="dashed", color="magenta", weight=3];
12759 -> 22531[label="",style="dashed", color="magenta", weight=3];
12759 -> 22532[label="",style="dashed", color="magenta", weight=3];
12760 -> 10442[label="",style="dashed", color="red", weight=0];
12760[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (error []) vvv503) (Neg Zero) (error []))",fontsize=16,color="magenta"];12760 -> 12974[label="",style="dashed", color="magenta", weight=3];
12760 -> 12975[label="",style="dashed", color="magenta", weight=3];
12760 -> 12976[label="",style="dashed", color="magenta", weight=3];
16503 -> 13583[label="",style="dashed", color="red", weight=0];
16503[label="primQuotInt (Pos vvv631) (Neg (Succ vvv632))",fontsize=16,color="magenta"];16503 -> 16609[label="",style="dashed", color="magenta", weight=3];
16503 -> 16610[label="",style="dashed", color="magenta", weight=3];
19766[label="vvv22000",fontsize=16,color="green",shape="box"];19767[label="vvv11500",fontsize=16,color="green",shape="box"];19768[label="vvv22000",fontsize=16,color="green",shape="box"];19769[label="vvv11500",fontsize=16,color="green",shape="box"];19765[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS vvv839 vvv840)",fontsize=16,color="burlywood",shape="triangle"];31164[label="vvv839/Succ vvv8390",fontsize=10,color="white",style="solid",shape="box"];19765 -> 31164[label="",style="solid", color="burlywood", weight=9];
31164 -> 19806[label="",style="solid", color="burlywood", weight=3];
31165[label="vvv839/Zero",fontsize=10,color="white",style="solid",shape="box"];19765 -> 31165[label="",style="solid", color="burlywood", weight=9];
31165 -> 19807[label="",style="solid", color="burlywood", weight=3];
10416[label="Succ (primDivNatS (primMinusNatS (Succ vvv11500) Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];10416 -> 10938[label="",style="dashed", color="green", weight=3];
10417[label="Zero",fontsize=16,color="green",shape="box"];10418[label="Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];10418 -> 10939[label="",style="dashed", color="green", weight=3];
12977[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv4270)) otherwise) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal0 (Neg (Succ vvv4270)) otherwise) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12977 -> 13145[label="",style="solid", color="black", weight=3];
19400[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat (Succ vvv8040) (Succ vvv8050) == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat (Succ vvv8040) (Succ vvv8050) == LT))) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="box"];19400 -> 19471[label="",style="solid", color="black", weight=3];
19401[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat (Succ vvv8040) Zero == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat (Succ vvv8040) Zero == LT))) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="box"];19401 -> 19472[label="",style="solid", color="black", weight=3];
19402[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat Zero (Succ vvv8050) == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat Zero (Succ vvv8050) == LT))) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="box"];19402 -> 19473[label="",style="solid", color="black", weight=3];
19403[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="box"];19403 -> 19474[label="",style="solid", color="black", weight=3];
12980[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) False) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) False) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12980 -> 13150[label="",style="solid", color="black", weight=3];
12981[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) True) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) True) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];12981 -> 13151[label="",style="solid", color="black", weight=3];
12982 -> 12765[label="",style="dashed", color="red", weight=0];
12982[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv423))))",fontsize=16,color="magenta"];13597 -> 12793[label="",style="dashed", color="red", weight=0];
13597[label="primRemInt (Pos (Succ vvv2260)) (Neg Zero)",fontsize=16,color="magenta"];13597 -> 13720[label="",style="dashed", color="magenta", weight=3];
19825 -> 15075[label="",style="dashed", color="red", weight=0];
19825[label="primRemInt (Neg (Succ vvv809)) (Neg Zero)",fontsize=16,color="magenta"];19825 -> 19854[label="",style="dashed", color="magenta", weight=3];
13603[label="primRemInt (primNegInt (Neg Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];13603 -> 13726[label="",style="solid", color="black", weight=3];
12777 -> 22735[label="",style="dashed", color="red", weight=0];
12777[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv47200))) vvv504) (Pos (Succ vvv47200)) (Neg (primModNatS Zero (Succ vvv47200))))",fontsize=16,color="magenta"];12777 -> 22741[label="",style="dashed", color="magenta", weight=3];
12777 -> 22742[label="",style="dashed", color="magenta", weight=3];
12777 -> 22743[label="",style="dashed", color="magenta", weight=3];
12777 -> 22744[label="",style="dashed", color="magenta", weight=3];
12777 -> 22745[label="",style="dashed", color="magenta", weight=3];
12778 -> 11050[label="",style="dashed", color="red", weight=0];
12778[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (error []) vvv504) (Pos Zero) (error []))",fontsize=16,color="magenta"];12778 -> 12997[label="",style="dashed", color="magenta", weight=3];
12778 -> 12998[label="",style="dashed", color="magenta", weight=3];
12778 -> 12999[label="",style="dashed", color="magenta", weight=3];
12778 -> 13000[label="",style="dashed", color="magenta", weight=3];
12779 -> 23956[label="",style="dashed", color="red", weight=0];
12779[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv47200))) vvv504) (Neg (Succ vvv47200)) (Neg (primModNatS Zero (Succ vvv47200))))",fontsize=16,color="magenta"];12779 -> 23957[label="",style="dashed", color="magenta", weight=3];
12779 -> 23958[label="",style="dashed", color="magenta", weight=3];
12779 -> 23959[label="",style="dashed", color="magenta", weight=3];
12779 -> 23960[label="",style="dashed", color="magenta", weight=3];
12779 -> 23961[label="",style="dashed", color="magenta", weight=3];
12780 -> 10600[label="",style="dashed", color="red", weight=0];
12780[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (error []) vvv504) (Neg Zero) (error []))",fontsize=16,color="magenta"];12780 -> 13002[label="",style="dashed", color="magenta", weight=3];
12780 -> 13003[label="",style="dashed", color="magenta", weight=3];
12780 -> 13004[label="",style="dashed", color="magenta", weight=3];
14054[label="vvv47200",fontsize=16,color="green",shape="box"];14055[label="vvv51",fontsize=16,color="green",shape="box"];19554[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat (Succ vvv8150) (Succ vvv8160) == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat (Succ vvv8150) (Succ vvv8160) == LT))) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19554 -> 19653[label="",style="solid", color="black", weight=3];
19555[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat (Succ vvv8150) Zero == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat (Succ vvv8150) Zero == LT))) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19555 -> 19654[label="",style="solid", color="black", weight=3];
19556[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat Zero (Succ vvv8160) == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat Zero (Succ vvv8160) == LT))) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19556 -> 19655[label="",style="solid", color="black", weight=3];
19557[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19557 -> 19656[label="",style="solid", color="black", weight=3];
13007[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv4200)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (Pos (Succ vvv4200)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="triangle"];13007 -> 13171[label="",style="solid", color="black", weight=3];
13008[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not True)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) (not True)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];13008 -> 13172[label="",style="solid", color="black", weight=3];
13009[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) True) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) True) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];13009 -> 13173[label="",style="solid", color="black", weight=3];
18955[label="primRemInt (absReal0 (Pos (Succ vvv760)) otherwise) (Neg Zero)",fontsize=16,color="black",shape="box"];18955 -> 18974[label="",style="solid", color="black", weight=3];
13482[label="primRemInt (`negate` Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];13482 -> 13628[label="",style="solid", color="black", weight=3];
12796 -> 22992[label="",style="dashed", color="red", weight=0];
12796[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv47000))) vvv505) (Pos (Succ vvv47000)) (Neg (primModNatS Zero (Succ vvv47000))))",fontsize=16,color="magenta"];12796 -> 22998[label="",style="dashed", color="magenta", weight=3];
12796 -> 22999[label="",style="dashed", color="magenta", weight=3];
12796 -> 23000[label="",style="dashed", color="magenta", weight=3];
12796 -> 23001[label="",style="dashed", color="magenta", weight=3];
12796 -> 23002[label="",style="dashed", color="magenta", weight=3];
12797 -> 10195[label="",style="dashed", color="red", weight=0];
12797[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (error []) vvv505) (Pos Zero) (error []))",fontsize=16,color="magenta"];12797 -> 13029[label="",style="dashed", color="magenta", weight=3];
12797 -> 13030[label="",style="dashed", color="magenta", weight=3];
12797 -> 13031[label="",style="dashed", color="magenta", weight=3];
12798 -> 27145[label="",style="dashed", color="red", weight=0];
12798[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv47000))) vvv505) (Neg (Succ vvv47000)) (Neg (primModNatS Zero (Succ vvv47000))))",fontsize=16,color="magenta"];12798 -> 27146[label="",style="dashed", color="magenta", weight=3];
12798 -> 27147[label="",style="dashed", color="magenta", weight=3];
12798 -> 27148[label="",style="dashed", color="magenta", weight=3];
12798 -> 27149[label="",style="dashed", color="magenta", weight=3];
12798 -> 27150[label="",style="dashed", color="magenta", weight=3];
12799 -> 10442[label="",style="dashed", color="red", weight=0];
12799[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (error []) vvv505) (Neg Zero) (error []))",fontsize=16,color="magenta"];12799 -> 13033[label="",style="dashed", color="magenta", weight=3];
12799 -> 13034[label="",style="dashed", color="magenta", weight=3];
12799 -> 13035[label="",style="dashed", color="magenta", weight=3];
19649[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat (Succ vvv8220) (Succ vvv8230) == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat (Succ vvv8220) (Succ vvv8230) == LT))) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19649 -> 19717[label="",style="solid", color="black", weight=3];
19650[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat (Succ vvv8220) Zero == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat (Succ vvv8220) Zero == LT))) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19650 -> 19718[label="",style="solid", color="black", weight=3];
19651[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat Zero (Succ vvv8230) == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat Zero (Succ vvv8230) == LT))) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19651 -> 19719[label="",style="solid", color="black", weight=3];
19652[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat Zero Zero == LT))) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19652 -> 19720[label="",style="solid", color="black", weight=3];
10586[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv2240)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (Pos (Succ vvv2240)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="triangle"];10586 -> 10958[label="",style="solid", color="black", weight=3];
10587[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not True)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) (not True)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];10587 -> 10959[label="",style="solid", color="black", weight=3];
10588[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) True) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) True) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];10588 -> 10960[label="",style="solid", color="black", weight=3];
19713[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat (Succ vvv8290) (Succ vvv8300) == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat (Succ vvv8290) (Succ vvv8300) == LT))) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19713 -> 19808[label="",style="solid", color="black", weight=3];
19714[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat (Succ vvv8290) Zero == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat (Succ vvv8290) Zero == LT))) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19714 -> 19809[label="",style="solid", color="black", weight=3];
19715[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat Zero (Succ vvv8300) == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat Zero (Succ vvv8300) == LT))) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19715 -> 19810[label="",style="solid", color="black", weight=3];
19716[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19716 -> 19811[label="",style="solid", color="black", weight=3];
13044[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv4410)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (Pos (Succ vvv4410)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="triangle"];13044 -> 13196[label="",style="solid", color="black", weight=3];
13045[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) (not True)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) (not True)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];13045 -> 13197[label="",style="solid", color="black", weight=3];
13046[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) True) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) True) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];13046 -> 13198[label="",style="solid", color="black", weight=3];
17037 -> 13605[label="",style="dashed", color="red", weight=0];
17037[label="primQuotInt (Neg vvv652) (Neg (Succ vvv653))",fontsize=16,color="magenta"];17037 -> 17072[label="",style="dashed", color="magenta", weight=3];
17037 -> 17073[label="",style="dashed", color="magenta", weight=3];
10864 -> 10586[label="",style="dashed", color="red", weight=0];
10864[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv2220)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (Pos (Succ vvv2220)) (Pos (Succ vvv470))))",fontsize=16,color="magenta"];10864 -> 11029[label="",style="dashed", color="magenta", weight=3];
10864 -> 11030[label="",style="dashed", color="magenta", weight=3];
10864 -> 11031[label="",style="dashed", color="magenta", weight=3];
10864 -> 11032[label="",style="dashed", color="magenta", weight=3];
17789[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv700)) (Pos (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (primRemInt (Neg (Succ vvv700)) (Pos (Succ vvv703))))",fontsize=16,color="black",shape="triangle"];17789 -> 17827[label="",style="solid", color="black", weight=3];
10870[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg Zero)) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (primNegInt (Neg Zero)) (Pos (Succ vvv470))))",fontsize=16,color="black",shape="box"];10870 -> 11038[label="",style="solid", color="black", weight=3];
22768[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv10480) (Succ vvv1030))) vvv1033) (Pos (Succ vvv1030)) (Neg (primModNatS vvv1047 (Succ vvv1030))))",fontsize=16,color="black",shape="box"];22768 -> 22811[label="",style="solid", color="black", weight=3];
22769[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv1030))) vvv1033) (Pos (Succ vvv1030)) (Neg (primModNatS vvv1047 (Succ vvv1030))))",fontsize=16,color="black",shape="box"];22769 -> 22812[label="",style="solid", color="black", weight=3];
13569 -> 12754[label="",style="dashed", color="red", weight=0];
13569[label="primRemInt (Pos (Succ vvv2260)) (Pos Zero)",fontsize=16,color="magenta"];13569 -> 13690[label="",style="dashed", color="magenta", weight=3];
18685 -> 15027[label="",style="dashed", color="red", weight=0];
18685[label="primRemInt (Neg (Succ vvv737)) (Pos Zero)",fontsize=16,color="magenta"];18685 -> 18816[label="",style="dashed", color="magenta", weight=3];
13575[label="primRemInt (primNegInt (Neg Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];13575 -> 13696[label="",style="solid", color="black", weight=3];
12815 -> 22565[label="",style="dashed", color="red", weight=0];
12815[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv47400))) vvv506) (Pos (Succ vvv47400)) (Pos (primModNatS Zero (Succ vvv47400))))",fontsize=16,color="magenta"];12815 -> 22566[label="",style="dashed", color="magenta", weight=3];
12815 -> 22567[label="",style="dashed", color="magenta", weight=3];
12815 -> 22568[label="",style="dashed", color="magenta", weight=3];
12815 -> 22569[label="",style="dashed", color="magenta", weight=3];
12815 -> 22570[label="",style="dashed", color="magenta", weight=3];
12816 -> 11050[label="",style="dashed", color="red", weight=0];
12816[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (error []) vvv506) (Pos Zero) (error []))",fontsize=16,color="magenta"];12816 -> 13055[label="",style="dashed", color="magenta", weight=3];
12816 -> 13056[label="",style="dashed", color="magenta", weight=3];
12816 -> 13057[label="",style="dashed", color="magenta", weight=3];
12817 -> 22606[label="",style="dashed", color="red", weight=0];
12817[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv47400))) vvv506) (Neg (Succ vvv47400)) (Pos (primModNatS Zero (Succ vvv47400))))",fontsize=16,color="magenta"];12817 -> 22607[label="",style="dashed", color="magenta", weight=3];
12817 -> 22608[label="",style="dashed", color="magenta", weight=3];
12817 -> 22609[label="",style="dashed", color="magenta", weight=3];
12817 -> 22610[label="",style="dashed", color="magenta", weight=3];
12817 -> 22611[label="",style="dashed", color="magenta", weight=3];
12818 -> 10600[label="",style="dashed", color="red", weight=0];
12818[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (error []) vvv506) (Neg Zero) (error []))",fontsize=16,color="magenta"];12818 -> 13059[label="",style="dashed", color="magenta", weight=3];
12818 -> 13060[label="",style="dashed", color="magenta", weight=3];
12818 -> 13061[label="",style="dashed", color="magenta", weight=3];
12818 -> 13062[label="",style="dashed", color="magenta", weight=3];
13063[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpInt (Neg (Succ vvv4550)) (Pos vvv5140) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpInt (Neg (Succ vvv4550)) (Pos vvv5140) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13063 -> 13207[label="",style="solid", color="black", weight=3];
13064[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpInt (Neg (Succ vvv4550)) (Neg vvv5140) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpInt (Neg (Succ vvv4550)) (Neg vvv5140) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13064 -> 13208[label="",style="solid", color="black", weight=3];
13065[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv5140) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos vvv5140) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="burlywood",shape="box"];31185[label="vvv5140/Succ vvv51400",fontsize=10,color="white",style="solid",shape="box"];13065 -> 31185[label="",style="solid", color="burlywood", weight=9];
31185 -> 13209[label="",style="solid", color="burlywood", weight=3];
31186[label="vvv5140/Zero",fontsize=10,color="white",style="solid",shape="box"];13065 -> 31186[label="",style="solid", color="burlywood", weight=9];
31186 -> 13210[label="",style="solid", color="burlywood", weight=3];
13066[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv5140) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg vvv5140) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="burlywood",shape="box"];31187[label="vvv5140/Succ vvv51400",fontsize=10,color="white",style="solid",shape="box"];13066 -> 31187[label="",style="solid", color="burlywood", weight=9];
31187 -> 13211[label="",style="solid", color="burlywood", weight=3];
31188[label="vvv5140/Zero",fontsize=10,color="white",style="solid",shape="box"];13066 -> 31188[label="",style="solid", color="burlywood", weight=9];
31188 -> 13212[label="",style="solid", color="burlywood", weight=3];
10893 -> 8805[label="",style="dashed", color="red", weight=0];
10893[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv2260)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (Pos (Succ vvv2260)) (Pos (Succ vvv720))))",fontsize=16,color="magenta"];10893 -> 11613[label="",style="dashed", color="magenta", weight=3];
10893 -> 11614[label="",style="dashed", color="magenta", weight=3];
10893 -> 11615[label="",style="dashed", color="magenta", weight=3];
10893 -> 11616[label="",style="dashed", color="magenta", weight=3];
17826[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv707)) (Pos (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (primRemInt (Neg (Succ vvv707)) (Pos (Succ vvv710))))",fontsize=16,color="black",shape="triangle"];17826 -> 17898[label="",style="solid", color="black", weight=3];
10899[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg Zero)) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (primNegInt (Neg Zero)) (Pos (Succ vvv720))))",fontsize=16,color="black",shape="box"];10899 -> 11622[label="",style="solid", color="black", weight=3];
23025[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv10530) (Succ vvv1043))) vvv1046) (Pos (Succ vvv1043)) (Neg (primModNatS vvv1052 (Succ vvv1043))))",fontsize=16,color="black",shape="box"];23025 -> 23082[label="",style="solid", color="black", weight=3];
23026[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv1043))) vvv1046) (Pos (Succ vvv1043)) (Neg (primModNatS vvv1052 (Succ vvv1043))))",fontsize=16,color="black",shape="box"];23026 -> 23083[label="",style="solid", color="black", weight=3];
14041[label="vvv46800",fontsize=16,color="green",shape="box"];17769[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv691)) True) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (absReal0 (Pos (Succ vvv691)) True) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17769 -> 17790[label="",style="solid", color="black", weight=3];
20797[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv88900) vvv872 (primGEqNatS (Succ vvv88900) vvv872))) vvv875) (Pos (Succ vvv872)) (Pos (primModNatS0 (Succ vvv88900) vvv872 (primGEqNatS (Succ vvv88900) vvv872))))",fontsize=16,color="burlywood",shape="box"];31190[label="vvv872/Succ vvv8720",fontsize=10,color="white",style="solid",shape="box"];20797 -> 31190[label="",style="solid", color="burlywood", weight=9];
31190 -> 20813[label="",style="solid", color="burlywood", weight=3];
31191[label="vvv872/Zero",fontsize=10,color="white",style="solid",shape="box"];20797 -> 31191[label="",style="solid", color="burlywood", weight=9];
31191 -> 20814[label="",style="solid", color="burlywood", weight=3];
20798[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero vvv872 (primGEqNatS Zero vvv872))) vvv875) (Pos (Succ vvv872)) (Pos (primModNatS0 Zero vvv872 (primGEqNatS Zero vvv872))))",fontsize=16,color="burlywood",shape="box"];31192[label="vvv872/Succ vvv8720",fontsize=10,color="white",style="solid",shape="box"];20798 -> 31192[label="",style="solid", color="burlywood", weight=9];
31192 -> 20815[label="",style="solid", color="burlywood", weight=3];
31193[label="vvv872/Zero",fontsize=10,color="white",style="solid",shape="box"];20798 -> 31193[label="",style="solid", color="burlywood", weight=9];
31193 -> 20816[label="",style="solid", color="burlywood", weight=3];
20799[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv8750)) (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31194[label="vvv8750/Succ vvv87500",fontsize=10,color="white",style="solid",shape="box"];20799 -> 31194[label="",style="solid", color="burlywood", weight=9];
31194 -> 20817[label="",style="solid", color="burlywood", weight=3];
31195[label="vvv8750/Zero",fontsize=10,color="white",style="solid",shape="box"];20799 -> 31195[label="",style="solid", color="burlywood", weight=9];
31195 -> 20818[label="",style="solid", color="burlywood", weight=3];
20800[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv8750)) (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31196[label="vvv8750/Succ vvv87500",fontsize=10,color="white",style="solid",shape="box"];20800 -> 31196[label="",style="solid", color="burlywood", weight=9];
31196 -> 20819[label="",style="solid", color="burlywood", weight=3];
31197[label="vvv8750/Zero",fontsize=10,color="white",style="solid",shape="box"];20800 -> 31197[label="",style="solid", color="burlywood", weight=9];
31197 -> 20820[label="",style="solid", color="burlywood", weight=3];
10922[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos Zero)) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (primNegInt (Pos Zero)) (Pos (Succ vvv1160))))",fontsize=16,color="black",shape="box"];10922 -> 11822[label="",style="solid", color="black", weight=3];
18956[label="primRemInt (absReal0 (Pos (Succ vvv756)) True) (Pos Zero)",fontsize=16,color="black",shape="box"];18956 -> 18975[label="",style="solid", color="black", weight=3];
13581[label="primRemInt (primNegInt (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];13581 -> 13703[label="",style="solid", color="black", weight=3];
20708[label="vvv46800",fontsize=16,color="green",shape="box"];20709[label="Zero",fontsize=16,color="green",shape="box"];20710[label="vvv503",fontsize=16,color="green",shape="box"];20711[label="vvv115",fontsize=16,color="green",shape="box"];20712[label="Zero",fontsize=16,color="green",shape="box"];12970 -> 8350[label="",style="dashed", color="red", weight=0];
12970[label="error []",fontsize=16,color="magenta"];12971[label="vvv503",fontsize=16,color="green",shape="box"];12972 -> 8350[label="",style="dashed", color="red", weight=0];
12972[label="error []",fontsize=16,color="magenta"];22528[label="Zero",fontsize=16,color="green",shape="box"];22529[label="Zero",fontsize=16,color="green",shape="box"];22530[label="vvv115",fontsize=16,color="green",shape="box"];22531[label="vvv46800",fontsize=16,color="green",shape="box"];22532[label="vvv503",fontsize=16,color="green",shape="box"];22527[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS vvv1035 (Succ vvv1008))) vvv1011) (Neg (Succ vvv1008)) (Pos (primModNatS vvv1034 (Succ vvv1008))))",fontsize=16,color="burlywood",shape="triangle"];31200[label="vvv1035/Succ vvv10350",fontsize=10,color="white",style="solid",shape="box"];22527 -> 31200[label="",style="solid", color="burlywood", weight=9];
31200 -> 22555[label="",style="solid", color="burlywood", weight=3];
31201[label="vvv1035/Zero",fontsize=10,color="white",style="solid",shape="box"];22527 -> 31201[label="",style="solid", color="burlywood", weight=9];
31201 -> 22556[label="",style="solid", color="burlywood", weight=3];
12974[label="vvv503",fontsize=16,color="green",shape="box"];12975 -> 8350[label="",style="dashed", color="red", weight=0];
12975[label="error []",fontsize=16,color="magenta"];12976 -> 8350[label="",style="dashed", color="red", weight=0];
12976[label="error []",fontsize=16,color="magenta"];16609[label="vvv632",fontsize=16,color="green",shape="box"];16610[label="vvv631",fontsize=16,color="green",shape="box"];19806[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS (Succ vvv8390) vvv840)",fontsize=16,color="burlywood",shape="box"];31204[label="vvv840/Succ vvv8400",fontsize=10,color="white",style="solid",shape="box"];19806 -> 31204[label="",style="solid", color="burlywood", weight=9];
31204 -> 19836[label="",style="solid", color="burlywood", weight=3];
31205[label="vvv840/Zero",fontsize=10,color="white",style="solid",shape="box"];19806 -> 31205[label="",style="solid", color="burlywood", weight=9];
31205 -> 19837[label="",style="solid", color="burlywood", weight=3];
19807[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS Zero vvv840)",fontsize=16,color="burlywood",shape="box"];31206[label="vvv840/Succ vvv8400",fontsize=10,color="white",style="solid",shape="box"];19807 -> 31206[label="",style="solid", color="burlywood", weight=9];
31206 -> 19838[label="",style="solid", color="burlywood", weight=3];
31207[label="vvv840/Zero",fontsize=10,color="white",style="solid",shape="box"];19807 -> 31207[label="",style="solid", color="burlywood", weight=9];
31207 -> 19839[label="",style="solid", color="burlywood", weight=3];
10938 -> 8348[label="",style="dashed", color="red", weight=0];
10938[label="primDivNatS (primMinusNatS (Succ vvv11500) Zero) (Succ Zero)",fontsize=16,color="magenta"];10938 -> 11839[label="",style="dashed", color="magenta", weight=3];
10938 -> 11840[label="",style="dashed", color="magenta", weight=3];
10939 -> 8348[label="",style="dashed", color="red", weight=0];
10939[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];10939 -> 11841[label="",style="dashed", color="magenta", weight=3];
10939 -> 11842[label="",style="dashed", color="magenta", weight=3];
13145[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv4270)) True) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal0 (Neg (Succ vvv4270)) True) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];13145 -> 13309[label="",style="solid", color="black", weight=3];
19471 -> 19304[label="",style="dashed", color="red", weight=0];
19471[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat vvv8040 vvv8050 == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (primCmpNat vvv8040 vvv8050 == LT))) (Neg (Succ vvv806))))",fontsize=16,color="magenta"];19471 -> 19562[label="",style="dashed", color="magenta", weight=3];
19471 -> 19563[label="",style="dashed", color="magenta", weight=3];
19472[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (GT == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (GT == LT))) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="box"];19472 -> 19564[label="",style="solid", color="black", weight=3];
19473 -> 12386[label="",style="dashed", color="red", weight=0];
19473[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (LT == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (LT == LT))) (Neg (Succ vvv806))))",fontsize=16,color="magenta"];19473 -> 19565[label="",style="dashed", color="magenta", weight=3];
19473 -> 19566[label="",style="dashed", color="magenta", weight=3];
19473 -> 19567[label="",style="dashed", color="magenta", weight=3];
19473 -> 19568[label="",style="dashed", color="magenta", weight=3];
19474[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not (EQ == LT))) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not (EQ == LT))) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="box"];19474 -> 19569[label="",style="solid", color="black", weight=3];
13150[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) otherwise) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal0 (Neg Zero) otherwise) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];13150 -> 13314[label="",style="solid", color="black", weight=3];
13151 -> 12199[label="",style="dashed", color="red", weight=0];
13151[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (Neg Zero) (Neg (Succ vvv423))))",fontsize=16,color="magenta"];13151 -> 13315[label="",style="dashed", color="magenta", weight=3];
13151 -> 13316[label="",style="dashed", color="magenta", weight=3];
13151 -> 13317[label="",style="dashed", color="magenta", weight=3];
13720[label="vvv2260",fontsize=16,color="green",shape="box"];19854[label="vvv809",fontsize=16,color="green",shape="box"];15075[label="primRemInt (Neg (Succ vvv47200)) (Neg Zero)",fontsize=16,color="black",shape="triangle"];15075 -> 15320[label="",style="solid", color="black", weight=3];
13726 -> 13025[label="",style="dashed", color="red", weight=0];
13726[label="primRemInt (Pos Zero) (Neg Zero)",fontsize=16,color="magenta"];22741[label="Zero",fontsize=16,color="green",shape="box"];22742[label="Zero",fontsize=16,color="green",shape="box"];22743[label="vvv504",fontsize=16,color="green",shape="box"];22744[label="vvv47200",fontsize=16,color="green",shape="box"];22745[label="vvv51",fontsize=16,color="green",shape="box"];12997[label="vvv51",fontsize=16,color="green",shape="box"];12998 -> 8350[label="",style="dashed", color="red", weight=0];
12998[label="error []",fontsize=16,color="magenta"];12999[label="vvv504",fontsize=16,color="green",shape="box"];13000 -> 8350[label="",style="dashed", color="red", weight=0];
13000[label="error []",fontsize=16,color="magenta"];23957[label="vvv504",fontsize=16,color="green",shape="box"];23958[label="vvv47200",fontsize=16,color="green",shape="box"];23959[label="Zero",fontsize=16,color="green",shape="box"];23960[label="Zero",fontsize=16,color="green",shape="box"];23961[label="vvv51",fontsize=16,color="green",shape="box"];23956[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS vvv1084 (Succ vvv1070))) vvv1073) (Neg (Succ vvv1070)) (Neg (primModNatS vvv1083 (Succ vvv1070))))",fontsize=16,color="burlywood",shape="triangle"];31216[label="vvv1084/Succ vvv10840",fontsize=10,color="white",style="solid",shape="box"];23956 -> 31216[label="",style="solid", color="burlywood", weight=9];
31216 -> 23984[label="",style="solid", color="burlywood", weight=3];
31217[label="vvv1084/Zero",fontsize=10,color="white",style="solid",shape="box"];23956 -> 31217[label="",style="solid", color="burlywood", weight=9];
31217 -> 23985[label="",style="solid", color="burlywood", weight=3];
13002 -> 8350[label="",style="dashed", color="red", weight=0];
13002[label="error []",fontsize=16,color="magenta"];13003[label="vvv504",fontsize=16,color="green",shape="box"];13004 -> 8350[label="",style="dashed", color="red", weight=0];
13004[label="error []",fontsize=16,color="magenta"];19653 -> 19404[label="",style="dashed", color="red", weight=0];
19653[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat vvv8150 vvv8160 == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (primCmpNat vvv8150 vvv8160 == LT))) (Neg (Succ vvv817))))",fontsize=16,color="magenta"];19653 -> 19721[label="",style="dashed", color="magenta", weight=3];
19653 -> 19722[label="",style="dashed", color="magenta", weight=3];
19654 -> 12406[label="",style="dashed", color="red", weight=0];
19654[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (GT == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (GT == LT))) (Neg (Succ vvv817))))",fontsize=16,color="magenta"];19654 -> 19723[label="",style="dashed", color="magenta", weight=3];
19654 -> 19724[label="",style="dashed", color="magenta", weight=3];
19654 -> 19725[label="",style="dashed", color="magenta", weight=3];
19654 -> 19726[label="",style="dashed", color="magenta", weight=3];
19655[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (LT == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (LT == LT))) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19655 -> 19727[label="",style="solid", color="black", weight=3];
19656[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not (EQ == LT))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not (EQ == LT))) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19656 -> 19728[label="",style="solid", color="black", weight=3];
13171 -> 22527[label="",style="dashed", color="red", weight=0];
13171[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv4200) (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (Pos (primModNatS (Succ vvv4200) (Succ vvv416))))",fontsize=16,color="magenta"];13171 -> 22533[label="",style="dashed", color="magenta", weight=3];
13171 -> 22534[label="",style="dashed", color="magenta", weight=3];
13171 -> 22535[label="",style="dashed", color="magenta", weight=3];
13171 -> 22536[label="",style="dashed", color="magenta", weight=3];
13171 -> 22537[label="",style="dashed", color="magenta", weight=3];
13172[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) False) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal1 (Pos Zero) False) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];13172 -> 13338[label="",style="solid", color="black", weight=3];
13173 -> 12186[label="",style="dashed", color="red", weight=0];
13173[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (Pos Zero) (Neg (Succ vvv416))))",fontsize=16,color="magenta"];13173 -> 13339[label="",style="dashed", color="magenta", weight=3];
13173 -> 13340[label="",style="dashed", color="magenta", weight=3];
13173 -> 13341[label="",style="dashed", color="magenta", weight=3];
18974[label="primRemInt (absReal0 (Pos (Succ vvv760)) True) (Neg Zero)",fontsize=16,color="black",shape="box"];18974 -> 18995[label="",style="solid", color="black", weight=3];
13628[label="primRemInt (primNegInt (Pos Zero)) (Neg Zero)",fontsize=16,color="black",shape="box"];13628 -> 13749[label="",style="solid", color="black", weight=3];
22998[label="vvv115",fontsize=16,color="green",shape="box"];22999[label="Zero",fontsize=16,color="green",shape="box"];23000[label="vvv505",fontsize=16,color="green",shape="box"];23001[label="vvv47000",fontsize=16,color="green",shape="box"];23002[label="Zero",fontsize=16,color="green",shape="box"];13029 -> 8350[label="",style="dashed", color="red", weight=0];
13029[label="error []",fontsize=16,color="magenta"];13030[label="vvv505",fontsize=16,color="green",shape="box"];13031 -> 8350[label="",style="dashed", color="red", weight=0];
13031[label="error []",fontsize=16,color="magenta"];27146[label="vvv115",fontsize=16,color="green",shape="box"];27147[label="Zero",fontsize=16,color="green",shape="box"];27148[label="vvv505",fontsize=16,color="green",shape="box"];27149[label="Zero",fontsize=16,color="green",shape="box"];27150[label="vvv47000",fontsize=16,color="green",shape="box"];27145[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS vvv1256 (Succ vvv1251))) vvv1254) (Neg (Succ vvv1251)) (Neg (primModNatS vvv1255 (Succ vvv1251))))",fontsize=16,color="burlywood",shape="triangle"];31226[label="vvv1256/Succ vvv12560",fontsize=10,color="white",style="solid",shape="box"];27145 -> 31226[label="",style="solid", color="burlywood", weight=9];
31226 -> 27173[label="",style="solid", color="burlywood", weight=3];
31227[label="vvv1256/Zero",fontsize=10,color="white",style="solid",shape="box"];27145 -> 31227[label="",style="solid", color="burlywood", weight=9];
31227 -> 27174[label="",style="solid", color="burlywood", weight=3];
13033[label="vvv505",fontsize=16,color="green",shape="box"];13034 -> 8350[label="",style="dashed", color="red", weight=0];
13034[label="error []",fontsize=16,color="magenta"];13035 -> 8350[label="",style="dashed", color="red", weight=0];
13035[label="error []",fontsize=16,color="magenta"];19717 -> 19491[label="",style="dashed", color="red", weight=0];
19717[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat vvv8220 vvv8230 == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (primCmpNat vvv8220 vvv8230 == LT))) (Pos (Succ vvv824))))",fontsize=16,color="magenta"];19717 -> 19812[label="",style="dashed", color="magenta", weight=3];
19717 -> 19813[label="",style="dashed", color="magenta", weight=3];
19718 -> 9165[label="",style="dashed", color="red", weight=0];
19718[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (GT == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (GT == LT))) (Pos (Succ vvv824))))",fontsize=16,color="magenta"];19718 -> 19814[label="",style="dashed", color="magenta", weight=3];
19718 -> 19815[label="",style="dashed", color="magenta", weight=3];
19718 -> 19816[label="",style="dashed", color="magenta", weight=3];
19718 -> 19817[label="",style="dashed", color="magenta", weight=3];
19719[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (LT == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (LT == LT))) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19719 -> 19818[label="",style="solid", color="black", weight=3];
19720[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not (EQ == LT))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not (EQ == LT))) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19720 -> 19819[label="",style="solid", color="black", weight=3];
10958 -> 22565[label="",style="dashed", color="red", weight=0];
10958[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv2240) (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (Pos (primModNatS (Succ vvv2240) (Succ vvv520))))",fontsize=16,color="magenta"];10958 -> 22576[label="",style="dashed", color="magenta", weight=3];
10958 -> 22577[label="",style="dashed", color="magenta", weight=3];
10958 -> 22578[label="",style="dashed", color="magenta", weight=3];
10958 -> 22579[label="",style="dashed", color="magenta", weight=3];
10958 -> 22580[label="",style="dashed", color="magenta", weight=3];
10959[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) False) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal1 (Pos Zero) False) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];10959 -> 11862[label="",style="solid", color="black", weight=3];
10960[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (Pos Zero) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="triangle"];10960 -> 11863[label="",style="solid", color="black", weight=3];
19808 -> 19586[label="",style="dashed", color="red", weight=0];
19808[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat vvv8290 vvv8300 == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (primCmpNat vvv8290 vvv8300 == LT))) (Neg (Succ vvv831))))",fontsize=16,color="magenta"];19808 -> 19840[label="",style="dashed", color="magenta", weight=3];
19808 -> 19841[label="",style="dashed", color="magenta", weight=3];
19809 -> 12436[label="",style="dashed", color="red", weight=0];
19809[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (GT == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (GT == LT))) (Neg (Succ vvv831))))",fontsize=16,color="magenta"];19809 -> 19842[label="",style="dashed", color="magenta", weight=3];
19809 -> 19843[label="",style="dashed", color="magenta", weight=3];
19809 -> 19844[label="",style="dashed", color="magenta", weight=3];
19809 -> 19845[label="",style="dashed", color="magenta", weight=3];
19810[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (LT == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (LT == LT))) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19810 -> 19846[label="",style="solid", color="black", weight=3];
19811[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not (EQ == LT))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not (EQ == LT))) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19811 -> 19847[label="",style="solid", color="black", weight=3];
13196 -> 22606[label="",style="dashed", color="red", weight=0];
13196[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv4410) (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (Pos (primModNatS (Succ vvv4410) (Succ vvv437))))",fontsize=16,color="magenta"];13196 -> 22612[label="",style="dashed", color="magenta", weight=3];
13196 -> 22613[label="",style="dashed", color="magenta", weight=3];
13196 -> 22614[label="",style="dashed", color="magenta", weight=3];
13196 -> 22615[label="",style="dashed", color="magenta", weight=3];
13196 -> 22616[label="",style="dashed", color="magenta", weight=3];
13197[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos Zero) False) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal1 (Pos Zero) False) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];13197 -> 13366[label="",style="solid", color="black", weight=3];
13198 -> 12228[label="",style="dashed", color="red", weight=0];
13198[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (Pos Zero) (Neg (Succ vvv437))))",fontsize=16,color="magenta"];13198 -> 13367[label="",style="dashed", color="magenta", weight=3];
13198 -> 13368[label="",style="dashed", color="magenta", weight=3];
13198 -> 13369[label="",style="dashed", color="magenta", weight=3];
17072[label="vvv653",fontsize=16,color="green",shape="box"];17073[label="vvv652",fontsize=16,color="green",shape="box"];11029[label="vvv46",fontsize=16,color="green",shape="box"];11030[label="vvv2220",fontsize=16,color="green",shape="box"];11031[label="vvv302",fontsize=16,color="green",shape="box"];11032[label="vvv470",fontsize=16,color="green",shape="box"];17827 -> 22735[label="",style="dashed", color="red", weight=0];
17827[label="primQuotInt (Neg vvv699) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv700) (Succ vvv703))) vvv704) (Pos (Succ vvv703)) (Neg (primModNatS (Succ vvv700) (Succ vvv703))))",fontsize=16,color="magenta"];17827 -> 22746[label="",style="dashed", color="magenta", weight=3];
17827 -> 22747[label="",style="dashed", color="magenta", weight=3];
17827 -> 22748[label="",style="dashed", color="magenta", weight=3];
17827 -> 22749[label="",style="dashed", color="magenta", weight=3];
17827 -> 22750[label="",style="dashed", color="magenta", weight=3];
11038 -> 10960[label="",style="dashed", color="red", weight=0];
11038[label="primQuotInt (Neg vvv46) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos (Succ vvv470))) vvv302) (Pos (Succ vvv470)) (primRemInt (Pos Zero) (Pos (Succ vvv470))))",fontsize=16,color="magenta"];11038 -> 12105[label="",style="dashed", color="magenta", weight=3];
11038 -> 12106[label="",style="dashed", color="magenta", weight=3];
11038 -> 12107[label="",style="dashed", color="magenta", weight=3];
22811[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 vvv10480 vvv1030 (primGEqNatS vvv10480 vvv1030))) vvv1033) (Pos (Succ vvv1030)) (Neg (primModNatS0 vvv10480 vvv1030 (primGEqNatS vvv10480 vvv1030))))",fontsize=16,color="burlywood",shape="box"];31239[label="vvv10480/Succ vvv104800",fontsize=10,color="white",style="solid",shape="box"];22811 -> 31239[label="",style="solid", color="burlywood", weight=9];
31239 -> 22855[label="",style="solid", color="burlywood", weight=3];
31240[label="vvv10480/Zero",fontsize=10,color="white",style="solid",shape="box"];22811 -> 31240[label="",style="solid", color="burlywood", weight=9];
31240 -> 22856[label="",style="solid", color="burlywood", weight=3];
22812[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv1033) (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31241[label="vvv1033/Pos vvv10330",fontsize=10,color="white",style="solid",shape="box"];22812 -> 31241[label="",style="solid", color="burlywood", weight=9];
31241 -> 22857[label="",style="solid", color="burlywood", weight=3];
31242[label="vvv1033/Neg vvv10330",fontsize=10,color="white",style="solid",shape="box"];22812 -> 31242[label="",style="solid", color="burlywood", weight=9];
31242 -> 22858[label="",style="solid", color="burlywood", weight=3];
13690[label="vvv2260",fontsize=16,color="green",shape="box"];18816[label="vvv737",fontsize=16,color="green",shape="box"];15027[label="primRemInt (Neg (Succ vvv46800)) (Pos Zero)",fontsize=16,color="black",shape="triangle"];15027 -> 15238[label="",style="solid", color="black", weight=3];
13696 -> 12967[label="",style="dashed", color="red", weight=0];
13696[label="primRemInt (Pos Zero) (Pos Zero)",fontsize=16,color="magenta"];22566[label="vvv506",fontsize=16,color="green",shape="box"];22567[label="Zero",fontsize=16,color="green",shape="box"];22568[label="vvv47400",fontsize=16,color="green",shape="box"];22569[label="Zero",fontsize=16,color="green",shape="box"];22570[label="vvv46",fontsize=16,color="green",shape="box"];22565[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS vvv1037 (Succ vvv1015))) vvv1018) (Pos (Succ vvv1015)) (Pos (primModNatS vvv1036 (Succ vvv1015))))",fontsize=16,color="burlywood",shape="triangle"];31244[label="vvv1037/Succ vvv10370",fontsize=10,color="white",style="solid",shape="box"];22565 -> 31244[label="",style="solid", color="burlywood", weight=9];
31244 -> 22598[label="",style="solid", color="burlywood", weight=3];
31245[label="vvv1037/Zero",fontsize=10,color="white",style="solid",shape="box"];22565 -> 31245[label="",style="solid", color="burlywood", weight=9];
31245 -> 22599[label="",style="solid", color="burlywood", weight=3];
13055 -> 8350[label="",style="dashed", color="red", weight=0];
13055[label="error []",fontsize=16,color="magenta"];13056[label="vvv506",fontsize=16,color="green",shape="box"];13057 -> 8350[label="",style="dashed", color="red", weight=0];
13057[label="error []",fontsize=16,color="magenta"];22607[label="Zero",fontsize=16,color="green",shape="box"];22608[label="vvv47400",fontsize=16,color="green",shape="box"];22609[label="Zero",fontsize=16,color="green",shape="box"];22610[label="vvv46",fontsize=16,color="green",shape="box"];22611[label="vvv506",fontsize=16,color="green",shape="box"];22606[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS vvv1039 (Succ vvv1022))) vvv1025) (Neg (Succ vvv1022)) (Pos (primModNatS vvv1038 (Succ vvv1022))))",fontsize=16,color="burlywood",shape="triangle"];31248[label="vvv1039/Succ vvv10390",fontsize=10,color="white",style="solid",shape="box"];22606 -> 31248[label="",style="solid", color="burlywood", weight=9];
31248 -> 22634[label="",style="solid", color="burlywood", weight=3];
31249[label="vvv1039/Zero",fontsize=10,color="white",style="solid",shape="box"];22606 -> 31249[label="",style="solid", color="burlywood", weight=9];
31249 -> 22635[label="",style="solid", color="burlywood", weight=3];
13059 -> 8350[label="",style="dashed", color="red", weight=0];
13059[label="error []",fontsize=16,color="magenta"];13060[label="vvv506",fontsize=16,color="green",shape="box"];13061 -> 8350[label="",style="dashed", color="red", weight=0];
13061[label="error []",fontsize=16,color="magenta"];13062[label="vvv46",fontsize=16,color="green",shape="box"];13207[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (LT == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (LT == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="triangle"];13207 -> 13378[label="",style="solid", color="black", weight=3];
13208 -> 21645[label="",style="dashed", color="red", weight=0];
13208[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpNat vvv5140 (Succ vvv4550) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg (Succ vvv4550)) (not (primCmpNat vvv5140 (Succ vvv4550) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="magenta"];13208 -> 21646[label="",style="dashed", color="magenta", weight=3];
13208 -> 21647[label="",style="dashed", color="magenta", weight=3];
13208 -> 21648[label="",style="dashed", color="magenta", weight=3];
13208 -> 21649[label="",style="dashed", color="magenta", weight=3];
13208 -> 21650[label="",style="dashed", color="magenta", weight=3];
13208 -> 21651[label="",style="dashed", color="magenta", weight=3];
13209[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv51400)) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos (Succ vvv51400)) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13209 -> 13381[label="",style="solid", color="black", weight=3];
13210[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Pos Zero) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13210 -> 13382[label="",style="solid", color="black", weight=3];
13211[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv51400)) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg (Succ vvv51400)) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13211 -> 13383[label="",style="solid", color="black", weight=3];
13212[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpInt (Neg Zero) (Neg Zero) == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13212 -> 13384[label="",style="solid", color="black", weight=3];
11613[label="vvv286",fontsize=16,color="green",shape="box"];11614[label="vvv2260",fontsize=16,color="green",shape="box"];11615[label="vvv71",fontsize=16,color="green",shape="box"];11616[label="vvv720",fontsize=16,color="green",shape="box"];17898 -> 22992[label="",style="dashed", color="red", weight=0];
17898[label="primQuotInt (Pos vvv706) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv707) (Succ vvv710))) vvv711) (Pos (Succ vvv710)) (Neg (primModNatS (Succ vvv707) (Succ vvv710))))",fontsize=16,color="magenta"];17898 -> 23003[label="",style="dashed", color="magenta", weight=3];
17898 -> 23004[label="",style="dashed", color="magenta", weight=3];
17898 -> 23005[label="",style="dashed", color="magenta", weight=3];
17898 -> 23006[label="",style="dashed", color="magenta", weight=3];
17898 -> 23007[label="",style="dashed", color="magenta", weight=3];
11622 -> 9062[label="",style="dashed", color="red", weight=0];
11622[label="primQuotInt (Pos vvv71) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Pos (Succ vvv720))) vvv286) (Pos (Succ vvv720)) (primRemInt (Pos Zero) (Pos (Succ vvv720))))",fontsize=16,color="magenta"];11622 -> 12236[label="",style="dashed", color="magenta", weight=3];
11622 -> 12237[label="",style="dashed", color="magenta", weight=3];
11622 -> 12238[label="",style="dashed", color="magenta", weight=3];
23082[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 vvv10530 vvv1043 (primGEqNatS vvv10530 vvv1043))) vvv1046) (Pos (Succ vvv1043)) (Neg (primModNatS0 vvv10530 vvv1043 (primGEqNatS vvv10530 vvv1043))))",fontsize=16,color="burlywood",shape="box"];31255[label="vvv10530/Succ vvv105300",fontsize=10,color="white",style="solid",shape="box"];23082 -> 31255[label="",style="solid", color="burlywood", weight=9];
31255 -> 23145[label="",style="solid", color="burlywood", weight=3];
31256[label="vvv10530/Zero",fontsize=10,color="white",style="solid",shape="box"];23082 -> 31256[label="",style="solid", color="burlywood", weight=9];
31256 -> 23146[label="",style="solid", color="burlywood", weight=3];
23083[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv1046) (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31257[label="vvv1046/Pos vvv10460",fontsize=10,color="white",style="solid",shape="box"];23083 -> 31257[label="",style="solid", color="burlywood", weight=9];
31257 -> 23147[label="",style="solid", color="burlywood", weight=3];
31258[label="vvv1046/Neg vvv10460",fontsize=10,color="white",style="solid",shape="box"];23083 -> 31258[label="",style="solid", color="burlywood", weight=9];
31258 -> 23148[label="",style="solid", color="burlywood", weight=3];
17790[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos (Succ vvv691)) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (`negate` Pos (Succ vvv691)) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17790 -> 17828[label="",style="solid", color="black", weight=3];
20813[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv88900) (Succ vvv8720) (primGEqNatS (Succ vvv88900) (Succ vvv8720)))) vvv875) (Pos (Succ (Succ vvv8720))) (Pos (primModNatS0 (Succ vvv88900) (Succ vvv8720) (primGEqNatS (Succ vvv88900) (Succ vvv8720)))))",fontsize=16,color="black",shape="box"];20813 -> 20833[label="",style="solid", color="black", weight=3];
20814[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv88900) Zero (primGEqNatS (Succ vvv88900) Zero))) vvv875) (Pos (Succ Zero)) (Pos (primModNatS0 (Succ vvv88900) Zero (primGEqNatS (Succ vvv88900) Zero))))",fontsize=16,color="black",shape="box"];20814 -> 20834[label="",style="solid", color="black", weight=3];
20815[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv8720) (primGEqNatS Zero (Succ vvv8720)))) vvv875) (Pos (Succ (Succ vvv8720))) (Pos (primModNatS0 Zero (Succ vvv8720) (primGEqNatS Zero (Succ vvv8720)))))",fontsize=16,color="black",shape="box"];20815 -> 20835[label="",style="solid", color="black", weight=3];
20816[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv875) (Pos (Succ Zero)) (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];20816 -> 20836[label="",style="solid", color="black", weight=3];
20817[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv87500))) (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="black",shape="box"];20817 -> 20837[label="",style="solid", color="black", weight=3];
20818[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="black",shape="box"];20818 -> 20838[label="",style="solid", color="black", weight=3];
20819[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv87500))) (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="black",shape="box"];20819 -> 20839[label="",style="solid", color="black", weight=3];
20820[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="black",shape="box"];20820 -> 20840[label="",style="solid", color="black", weight=3];
11822 -> 9276[label="",style="dashed", color="red", weight=0];
11822[label="primQuotInt (Pos vvv115) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos (Succ vvv1160))) vvv272) (Pos (Succ vvv1160)) (primRemInt (Neg Zero) (Pos (Succ vvv1160))))",fontsize=16,color="magenta"];11822 -> 12264[label="",style="dashed", color="magenta", weight=3];
11822 -> 12265[label="",style="dashed", color="magenta", weight=3];
11822 -> 12266[label="",style="dashed", color="magenta", weight=3];
18975[label="primRemInt (`negate` Pos (Succ vvv756)) (Pos Zero)",fontsize=16,color="black",shape="box"];18975 -> 18996[label="",style="solid", color="black", weight=3];
13703 -> 13136[label="",style="dashed", color="red", weight=0];
13703[label="primRemInt (Neg Zero) (Pos Zero)",fontsize=16,color="magenta"];22555[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv10350) (Succ vvv1008))) vvv1011) (Neg (Succ vvv1008)) (Pos (primModNatS vvv1034 (Succ vvv1008))))",fontsize=16,color="black",shape="box"];22555 -> 22600[label="",style="solid", color="black", weight=3];
22556[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv1008))) vvv1011) (Neg (Succ vvv1008)) (Pos (primModNatS vvv1034 (Succ vvv1008))))",fontsize=16,color="black",shape="box"];22556 -> 22601[label="",style="solid", color="black", weight=3];
19836[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS (Succ vvv8390) (Succ vvv8400))",fontsize=16,color="black",shape="box"];19836 -> 19870[label="",style="solid", color="black", weight=3];
19837[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS (Succ vvv8390) Zero)",fontsize=16,color="black",shape="box"];19837 -> 19871[label="",style="solid", color="black", weight=3];
19838[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS Zero (Succ vvv8400))",fontsize=16,color="black",shape="box"];19838 -> 19872[label="",style="solid", color="black", weight=3];
19839[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];19839 -> 19873[label="",style="solid", color="black", weight=3];
11839[label="Zero",fontsize=16,color="green",shape="box"];11840[label="primMinusNatS (Succ vvv11500) Zero",fontsize=16,color="black",shape="triangle"];11840 -> 12280[label="",style="solid", color="black", weight=3];
11841[label="Zero",fontsize=16,color="green",shape="box"];11842[label="primMinusNatS Zero Zero",fontsize=16,color="black",shape="triangle"];11842 -> 12281[label="",style="solid", color="black", weight=3];
13309[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg (Succ vvv4270)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (`negate` Neg (Succ vvv4270)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];13309 -> 13436[label="",style="solid", color="black", weight=3];
19562[label="vvv8050",fontsize=16,color="green",shape="box"];19563[label="vvv8040",fontsize=16,color="green",shape="box"];19564[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not False)) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not False)) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="triangle"];19564 -> 19662[label="",style="solid", color="black", weight=3];
19565[label="vvv802",fontsize=16,color="green",shape="box"];19566[label="vvv806",fontsize=16,color="green",shape="box"];19567[label="vvv803",fontsize=16,color="green",shape="box"];19568[label="vvv807",fontsize=16,color="green",shape="box"];19569 -> 19564[label="",style="dashed", color="red", weight=0];
19569[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) (not False)) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) (not False)) (Neg (Succ vvv806))))",fontsize=16,color="magenta"];13314[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) True) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (absReal0 (Neg Zero) True) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];13314 -> 13442[label="",style="solid", color="black", weight=3];
13315[label="Neg (Succ vvv423)",fontsize=16,color="green",shape="box"];13316[label="vvv477",fontsize=16,color="green",shape="box"];13317[label="vvv422",fontsize=16,color="green",shape="box"];15320 -> 8350[label="",style="dashed", color="red", weight=0];
15320[label="error []",fontsize=16,color="magenta"];23984[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv10840) (Succ vvv1070))) vvv1073) (Neg (Succ vvv1070)) (Neg (primModNatS vvv1083 (Succ vvv1070))))",fontsize=16,color="black",shape="box"];23984 -> 24003[label="",style="solid", color="black", weight=3];
23985[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv1070))) vvv1073) (Neg (Succ vvv1070)) (Neg (primModNatS vvv1083 (Succ vvv1070))))",fontsize=16,color="black",shape="box"];23985 -> 24004[label="",style="solid", color="black", weight=3];
19721[label="vvv8160",fontsize=16,color="green",shape="box"];19722[label="vvv8150",fontsize=16,color="green",shape="box"];19723[label="vvv818",fontsize=16,color="green",shape="box"];19724[label="vvv817",fontsize=16,color="green",shape="box"];19725[label="vvv813",fontsize=16,color="green",shape="box"];19726[label="vvv814",fontsize=16,color="green",shape="box"];19727[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not True)) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not True)) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19727 -> 19820[label="",style="solid", color="black", weight=3];
19728 -> 12599[label="",style="dashed", color="red", weight=0];
19728[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) (not False)) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) (not False)) (Neg (Succ vvv817))))",fontsize=16,color="magenta"];19728 -> 19821[label="",style="dashed", color="magenta", weight=3];
19728 -> 19822[label="",style="dashed", color="magenta", weight=3];
19728 -> 19823[label="",style="dashed", color="magenta", weight=3];
19728 -> 19824[label="",style="dashed", color="magenta", weight=3];
22533[label="Succ vvv4200",fontsize=16,color="green",shape="box"];22534[label="Succ vvv4200",fontsize=16,color="green",shape="box"];22535[label="vvv415",fontsize=16,color="green",shape="box"];22536[label="vvv416",fontsize=16,color="green",shape="box"];22537[label="vvv481",fontsize=16,color="green",shape="box"];13338[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) otherwise) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal0 (Pos Zero) otherwise) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];13338 -> 13466[label="",style="solid", color="black", weight=3];
13339[label="Neg (Succ vvv416)",fontsize=16,color="green",shape="box"];13340[label="vvv481",fontsize=16,color="green",shape="box"];13341[label="vvv415",fontsize=16,color="green",shape="box"];18995[label="primRemInt (`negate` Pos (Succ vvv760)) (Neg Zero)",fontsize=16,color="black",shape="box"];18995 -> 19011[label="",style="solid", color="black", weight=3];
13749 -> 13164[label="",style="dashed", color="red", weight=0];
13749[label="primRemInt (Neg Zero) (Neg Zero)",fontsize=16,color="magenta"];27173[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv12560) (Succ vvv1251))) vvv1254) (Neg (Succ vvv1251)) (Neg (primModNatS vvv1255 (Succ vvv1251))))",fontsize=16,color="black",shape="box"];27173 -> 27208[label="",style="solid", color="black", weight=3];
27174[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS Zero (Succ vvv1251))) vvv1254) (Neg (Succ vvv1251)) (Neg (primModNatS vvv1255 (Succ vvv1251))))",fontsize=16,color="black",shape="box"];27174 -> 27209[label="",style="solid", color="black", weight=3];
19812[label="vvv8220",fontsize=16,color="green",shape="box"];19813[label="vvv8230",fontsize=16,color="green",shape="box"];19814[label="vvv820",fontsize=16,color="green",shape="box"];19815[label="vvv821",fontsize=16,color="green",shape="box"];19816[label="vvv825",fontsize=16,color="green",shape="box"];19817[label="vvv824",fontsize=16,color="green",shape="box"];19818[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not True)) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not True)) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19818 -> 19848[label="",style="solid", color="black", weight=3];
19819 -> 9562[label="",style="dashed", color="red", weight=0];
19819[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) (not False)) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) (not False)) (Pos (Succ vvv824))))",fontsize=16,color="magenta"];19819 -> 19849[label="",style="dashed", color="magenta", weight=3];
19819 -> 19850[label="",style="dashed", color="magenta", weight=3];
19819 -> 19851[label="",style="dashed", color="magenta", weight=3];
19819 -> 19852[label="",style="dashed", color="magenta", weight=3];
22576[label="vvv303",fontsize=16,color="green",shape="box"];22577[label="Succ vvv2240",fontsize=16,color="green",shape="box"];22578[label="vvv520",fontsize=16,color="green",shape="box"];22579[label="Succ vvv2240",fontsize=16,color="green",shape="box"];22580[label="vvv51",fontsize=16,color="green",shape="box"];11862[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) otherwise) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal0 (Pos Zero) otherwise) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];11862 -> 12306[label="",style="solid", color="black", weight=3];
11863 -> 22565[label="",style="dashed", color="red", weight=0];
11863[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (Pos (primModNatS Zero (Succ vvv520))))",fontsize=16,color="magenta"];11863 -> 22571[label="",style="dashed", color="magenta", weight=3];
11863 -> 22572[label="",style="dashed", color="magenta", weight=3];
11863 -> 22573[label="",style="dashed", color="magenta", weight=3];
11863 -> 22574[label="",style="dashed", color="magenta", weight=3];
11863 -> 22575[label="",style="dashed", color="magenta", weight=3];
19840[label="vvv8300",fontsize=16,color="green",shape="box"];19841[label="vvv8290",fontsize=16,color="green",shape="box"];19842[label="vvv832",fontsize=16,color="green",shape="box"];19843[label="vvv831",fontsize=16,color="green",shape="box"];19844[label="vvv827",fontsize=16,color="green",shape="box"];19845[label="vvv828",fontsize=16,color="green",shape="box"];19846[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not True)) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not True)) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19846 -> 19874[label="",style="solid", color="black", weight=3];
19847 -> 12626[label="",style="dashed", color="red", weight=0];
19847[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) (not False)) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) (not False)) (Neg (Succ vvv831))))",fontsize=16,color="magenta"];19847 -> 19875[label="",style="dashed", color="magenta", weight=3];
19847 -> 19876[label="",style="dashed", color="magenta", weight=3];
19847 -> 19877[label="",style="dashed", color="magenta", weight=3];
19847 -> 19878[label="",style="dashed", color="magenta", weight=3];
22612[label="Succ vvv4410",fontsize=16,color="green",shape="box"];22613[label="vvv437",fontsize=16,color="green",shape="box"];22614[label="Succ vvv4410",fontsize=16,color="green",shape="box"];22615[label="vvv436",fontsize=16,color="green",shape="box"];22616[label="vvv479",fontsize=16,color="green",shape="box"];13366[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) otherwise) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal0 (Pos Zero) otherwise) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];13366 -> 13500[label="",style="solid", color="black", weight=3];
13367[label="vvv479",fontsize=16,color="green",shape="box"];13368[label="vvv436",fontsize=16,color="green",shape="box"];13369[label="Neg (Succ vvv437)",fontsize=16,color="green",shape="box"];22746[label="Succ vvv700",fontsize=16,color="green",shape="box"];22747[label="Succ vvv700",fontsize=16,color="green",shape="box"];22748[label="vvv704",fontsize=16,color="green",shape="box"];22749[label="vvv703",fontsize=16,color="green",shape="box"];22750[label="vvv699",fontsize=16,color="green",shape="box"];12105[label="vvv46",fontsize=16,color="green",shape="box"];12106[label="vvv302",fontsize=16,color="green",shape="box"];12107[label="vvv470",fontsize=16,color="green",shape="box"];22855[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv104800) vvv1030 (primGEqNatS (Succ vvv104800) vvv1030))) vvv1033) (Pos (Succ vvv1030)) (Neg (primModNatS0 (Succ vvv104800) vvv1030 (primGEqNatS (Succ vvv104800) vvv1030))))",fontsize=16,color="burlywood",shape="box"];31268[label="vvv1030/Succ vvv10300",fontsize=10,color="white",style="solid",shape="box"];22855 -> 31268[label="",style="solid", color="burlywood", weight=9];
31268 -> 22945[label="",style="solid", color="burlywood", weight=3];
31269[label="vvv1030/Zero",fontsize=10,color="white",style="solid",shape="box"];22855 -> 31269[label="",style="solid", color="burlywood", weight=9];
31269 -> 22946[label="",style="solid", color="burlywood", weight=3];
22856[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero vvv1030 (primGEqNatS Zero vvv1030))) vvv1033) (Pos (Succ vvv1030)) (Neg (primModNatS0 Zero vvv1030 (primGEqNatS Zero vvv1030))))",fontsize=16,color="burlywood",shape="box"];31270[label="vvv1030/Succ vvv10300",fontsize=10,color="white",style="solid",shape="box"];22856 -> 31270[label="",style="solid", color="burlywood", weight=9];
31270 -> 22947[label="",style="solid", color="burlywood", weight=3];
31271[label="vvv1030/Zero",fontsize=10,color="white",style="solid",shape="box"];22856 -> 31271[label="",style="solid", color="burlywood", weight=9];
31271 -> 22948[label="",style="solid", color="burlywood", weight=3];
22857[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv10330)) (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31272[label="vvv10330/Succ vvv103300",fontsize=10,color="white",style="solid",shape="box"];22857 -> 31272[label="",style="solid", color="burlywood", weight=9];
31272 -> 22949[label="",style="solid", color="burlywood", weight=3];
31273[label="vvv10330/Zero",fontsize=10,color="white",style="solid",shape="box"];22857 -> 31273[label="",style="solid", color="burlywood", weight=9];
31273 -> 22950[label="",style="solid", color="burlywood", weight=3];
22858[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv10330)) (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31274[label="vvv10330/Succ vvv103300",fontsize=10,color="white",style="solid",shape="box"];22858 -> 31274[label="",style="solid", color="burlywood", weight=9];
31274 -> 22951[label="",style="solid", color="burlywood", weight=3];
31275[label="vvv10330/Zero",fontsize=10,color="white",style="solid",shape="box"];22858 -> 31275[label="",style="solid", color="burlywood", weight=9];
31275 -> 22952[label="",style="solid", color="burlywood", weight=3];
15238 -> 8350[label="",style="dashed", color="red", weight=0];
15238[label="error []",fontsize=16,color="magenta"];22598[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv10370) (Succ vvv1015))) vvv1018) (Pos (Succ vvv1015)) (Pos (primModNatS vvv1036 (Succ vvv1015))))",fontsize=16,color="black",shape="box"];22598 -> 22636[label="",style="solid", color="black", weight=3];
22599[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv1015))) vvv1018) (Pos (Succ vvv1015)) (Pos (primModNatS vvv1036 (Succ vvv1015))))",fontsize=16,color="black",shape="box"];22599 -> 22637[label="",style="solid", color="black", weight=3];
22634[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (Succ vvv10390) (Succ vvv1022))) vvv1025) (Neg (Succ vvv1022)) (Pos (primModNatS vvv1038 (Succ vvv1022))))",fontsize=16,color="black",shape="box"];22634 -> 22719[label="",style="solid", color="black", weight=3];
22635[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS Zero (Succ vvv1022))) vvv1025) (Neg (Succ vvv1022)) (Pos (primModNatS vvv1038 (Succ vvv1022))))",fontsize=16,color="black",shape="box"];22635 -> 22720[label="",style="solid", color="black", weight=3];
13378[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4550)) (not True)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg (Succ vvv4550)) (not True)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13378 -> 13510[label="",style="solid", color="black", weight=3];
21646[label="vvv490",fontsize=16,color="green",shape="box"];21647[label="vvv5140",fontsize=16,color="green",shape="box"];21648[label="vvv4550",fontsize=16,color="green",shape="box"];21649[label="vvv450",fontsize=16,color="green",shape="box"];21650[label="Succ vvv4550",fontsize=16,color="green",shape="box"];21651[label="vvv451",fontsize=16,color="green",shape="box"];21645[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat vvv975 vvv976 == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat vvv975 vvv976 == LT))) (Neg (Succ vvv977))))",fontsize=16,color="burlywood",shape="triangle"];31277[label="vvv975/Succ vvv9750",fontsize=10,color="white",style="solid",shape="box"];21645 -> 31277[label="",style="solid", color="burlywood", weight=9];
31277 -> 21706[label="",style="solid", color="burlywood", weight=3];
31278[label="vvv975/Zero",fontsize=10,color="white",style="solid",shape="box"];21645 -> 31278[label="",style="solid", color="burlywood", weight=9];
31278 -> 21707[label="",style="solid", color="burlywood", weight=3];
13381[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (LT == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13381 -> 13513[label="",style="solid", color="black", weight=3];
13382[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="triangle"];13382 -> 13514[label="",style="solid", color="black", weight=3];
13383[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv51400) Zero == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (primCmpNat (Succ vvv51400) Zero == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13383 -> 13515[label="",style="solid", color="black", weight=3];
13384 -> 13382[label="",style="dashed", color="red", weight=0];
13384[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (EQ == LT))) (Neg (Succ vvv451))))",fontsize=16,color="magenta"];23003[label="vvv706",fontsize=16,color="green",shape="box"];23004[label="Succ vvv707",fontsize=16,color="green",shape="box"];23005[label="vvv711",fontsize=16,color="green",shape="box"];23006[label="vvv710",fontsize=16,color="green",shape="box"];23007[label="Succ vvv707",fontsize=16,color="green",shape="box"];12236[label="vvv286",fontsize=16,color="green",shape="box"];12237[label="vvv71",fontsize=16,color="green",shape="box"];12238[label="vvv720",fontsize=16,color="green",shape="box"];23145[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv105300) vvv1043 (primGEqNatS (Succ vvv105300) vvv1043))) vvv1046) (Pos (Succ vvv1043)) (Neg (primModNatS0 (Succ vvv105300) vvv1043 (primGEqNatS (Succ vvv105300) vvv1043))))",fontsize=16,color="burlywood",shape="box"];31280[label="vvv1043/Succ vvv10430",fontsize=10,color="white",style="solid",shape="box"];23145 -> 31280[label="",style="solid", color="burlywood", weight=9];
31280 -> 23222[label="",style="solid", color="burlywood", weight=3];
31281[label="vvv1043/Zero",fontsize=10,color="white",style="solid",shape="box"];23145 -> 31281[label="",style="solid", color="burlywood", weight=9];
31281 -> 23223[label="",style="solid", color="burlywood", weight=3];
23146[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero vvv1043 (primGEqNatS Zero vvv1043))) vvv1046) (Pos (Succ vvv1043)) (Neg (primModNatS0 Zero vvv1043 (primGEqNatS Zero vvv1043))))",fontsize=16,color="burlywood",shape="box"];31282[label="vvv1043/Succ vvv10430",fontsize=10,color="white",style="solid",shape="box"];23146 -> 31282[label="",style="solid", color="burlywood", weight=9];
31282 -> 23224[label="",style="solid", color="burlywood", weight=3];
31283[label="vvv1043/Zero",fontsize=10,color="white",style="solid",shape="box"];23146 -> 31283[label="",style="solid", color="burlywood", weight=9];
31283 -> 23225[label="",style="solid", color="burlywood", weight=3];
23147[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv10460)) (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31284[label="vvv10460/Succ vvv104600",fontsize=10,color="white",style="solid",shape="box"];23147 -> 31284[label="",style="solid", color="burlywood", weight=9];
31284 -> 23226[label="",style="solid", color="burlywood", weight=3];
31285[label="vvv10460/Zero",fontsize=10,color="white",style="solid",shape="box"];23147 -> 31285[label="",style="solid", color="burlywood", weight=9];
31285 -> 23227[label="",style="solid", color="burlywood", weight=3];
23148[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv10460)) (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31286[label="vvv10460/Succ vvv104600",fontsize=10,color="white",style="solid",shape="box"];23148 -> 31286[label="",style="solid", color="burlywood", weight=9];
31286 -> 23228[label="",style="solid", color="burlywood", weight=3];
31287[label="vvv10460/Zero",fontsize=10,color="white",style="solid",shape="box"];23148 -> 31287[label="",style="solid", color="burlywood", weight=9];
31287 -> 23229[label="",style="solid", color="burlywood", weight=3];
17828[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos (Succ vvv691))) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (primNegInt (Pos (Succ vvv691))) (Pos (Succ vvv694))))",fontsize=16,color="black",shape="box"];17828 -> 17900[label="",style="solid", color="black", weight=3];
20833 -> 21740[label="",style="dashed", color="red", weight=0];
20833[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv88900) (Succ vvv8720) (primGEqNatS vvv88900 vvv8720))) vvv875) (Pos (Succ (Succ vvv8720))) (Pos (primModNatS0 (Succ vvv88900) (Succ vvv8720) (primGEqNatS vvv88900 vvv8720))))",fontsize=16,color="magenta"];20833 -> 21741[label="",style="dashed", color="magenta", weight=3];
20833 -> 21742[label="",style="dashed", color="magenta", weight=3];
20833 -> 21743[label="",style="dashed", color="magenta", weight=3];
20833 -> 21744[label="",style="dashed", color="magenta", weight=3];
20833 -> 21745[label="",style="dashed", color="magenta", weight=3];
20833 -> 21746[label="",style="dashed", color="magenta", weight=3];
20834[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv88900) Zero True)) vvv875) (Pos (Succ Zero)) (Pos (primModNatS0 (Succ vvv88900) Zero True)))",fontsize=16,color="black",shape="box"];20834 -> 20902[label="",style="solid", color="black", weight=3];
20835[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv8720) False)) vvv875) (Pos (Succ (Succ vvv8720))) (Pos (primModNatS0 Zero (Succ vvv8720) False)))",fontsize=16,color="black",shape="box"];20835 -> 20903[label="",style="solid", color="black", weight=3];
20836[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero True)) vvv875) (Pos (Succ Zero)) (Pos (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];20836 -> 20904[label="",style="solid", color="black", weight=3];
20837[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 False (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];20837 -> 20905[label="",style="solid", color="black", weight=3];
20838[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 True (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];20838 -> 20906[label="",style="solid", color="black", weight=3];
20839 -> 20837[label="",style="dashed", color="red", weight=0];
20839[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 False (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="magenta"];20840 -> 20838[label="",style="dashed", color="red", weight=0];
20840[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 True (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="magenta"];12264[label="vvv1160",fontsize=16,color="green",shape="box"];12265[label="vvv115",fontsize=16,color="green",shape="box"];12266[label="vvv272",fontsize=16,color="green",shape="box"];18996[label="primRemInt (primNegInt (Pos (Succ vvv756))) (Pos Zero)",fontsize=16,color="black",shape="box"];18996 -> 19012[label="",style="solid", color="black", weight=3];
22600[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 vvv10350 vvv1008 (primGEqNatS vvv10350 vvv1008))) vvv1011) (Neg (Succ vvv1008)) (Pos (primModNatS0 vvv10350 vvv1008 (primGEqNatS vvv10350 vvv1008))))",fontsize=16,color="burlywood",shape="box"];31291[label="vvv10350/Succ vvv103500",fontsize=10,color="white",style="solid",shape="box"];22600 -> 31291[label="",style="solid", color="burlywood", weight=9];
31291 -> 22638[label="",style="solid", color="burlywood", weight=3];
31292[label="vvv10350/Zero",fontsize=10,color="white",style="solid",shape="box"];22600 -> 31292[label="",style="solid", color="burlywood", weight=9];
31292 -> 22639[label="",style="solid", color="burlywood", weight=3];
22601[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv1011) (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31293[label="vvv1011/Pos vvv10110",fontsize=10,color="white",style="solid",shape="box"];22601 -> 31293[label="",style="solid", color="burlywood", weight=9];
31293 -> 22640[label="",style="solid", color="burlywood", weight=3];
31294[label="vvv1011/Neg vvv10110",fontsize=10,color="white",style="solid",shape="box"];22601 -> 31294[label="",style="solid", color="burlywood", weight=9];
31294 -> 22641[label="",style="solid", color="burlywood", weight=3];
19870 -> 19765[label="",style="dashed", color="red", weight=0];
19870[label="primDivNatS0 (Succ vvv837) (Succ vvv838) (primGEqNatS vvv8390 vvv8400)",fontsize=16,color="magenta"];19870 -> 19898[label="",style="dashed", color="magenta", weight=3];
19870 -> 19899[label="",style="dashed", color="magenta", weight=3];
19871[label="primDivNatS0 (Succ vvv837) (Succ vvv838) True",fontsize=16,color="black",shape="triangle"];19871 -> 19900[label="",style="solid", color="black", weight=3];
19872[label="primDivNatS0 (Succ vvv837) (Succ vvv838) False",fontsize=16,color="black",shape="box"];19872 -> 19901[label="",style="solid", color="black", weight=3];
19873 -> 19871[label="",style="dashed", color="red", weight=0];
19873[label="primDivNatS0 (Succ vvv837) (Succ vvv838) True",fontsize=16,color="magenta"];12280[label="Succ vvv11500",fontsize=16,color="green",shape="box"];12281[label="Zero",fontsize=16,color="green",shape="box"];13436[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg (Succ vvv4270))) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (primNegInt (Neg (Succ vvv4270))) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];13436 -> 13584[label="",style="solid", color="black", weight=3];
19662[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv803)) True) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (absReal1 (Neg (Succ vvv803)) True) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="box"];19662 -> 19730[label="",style="solid", color="black", weight=3];
13442[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg Zero) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (`negate` Neg Zero) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];13442 -> 13590[label="",style="solid", color="black", weight=3];
24003[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 vvv10840 vvv1070 (primGEqNatS vvv10840 vvv1070))) vvv1073) (Neg (Succ vvv1070)) (Neg (primModNatS0 vvv10840 vvv1070 (primGEqNatS vvv10840 vvv1070))))",fontsize=16,color="burlywood",shape="box"];31297[label="vvv10840/Succ vvv108400",fontsize=10,color="white",style="solid",shape="box"];24003 -> 31297[label="",style="solid", color="burlywood", weight=9];
31297 -> 24050[label="",style="solid", color="burlywood", weight=3];
31298[label="vvv10840/Zero",fontsize=10,color="white",style="solid",shape="box"];24003 -> 31298[label="",style="solid", color="burlywood", weight=9];
31298 -> 24051[label="",style="solid", color="burlywood", weight=3];
24004[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv1073) (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31299[label="vvv1073/Pos vvv10730",fontsize=10,color="white",style="solid",shape="box"];24004 -> 31299[label="",style="solid", color="burlywood", weight=9];
31299 -> 24052[label="",style="solid", color="burlywood", weight=3];
31300[label="vvv1073/Neg vvv10730",fontsize=10,color="white",style="solid",shape="box"];24004 -> 31300[label="",style="solid", color="burlywood", weight=9];
31300 -> 24053[label="",style="solid", color="burlywood", weight=3];
19820[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv814)) False) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal1 (Pos (Succ vvv814)) False) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19820 -> 19853[label="",style="solid", color="black", weight=3];
19821[label="vvv818",fontsize=16,color="green",shape="box"];19822[label="vvv817",fontsize=16,color="green",shape="box"];19823[label="vvv813",fontsize=16,color="green",shape="box"];19824[label="vvv814",fontsize=16,color="green",shape="box"];13466[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) True) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (absReal0 (Pos Zero) True) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];13466 -> 13616[label="",style="solid", color="black", weight=3];
19011[label="primRemInt (primNegInt (Pos (Succ vvv760))) (Neg Zero)",fontsize=16,color="black",shape="box"];19011 -> 19109[label="",style="solid", color="black", weight=3];
27208[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 vvv12560 vvv1251 (primGEqNatS vvv12560 vvv1251))) vvv1254) (Neg (Succ vvv1251)) (Neg (primModNatS0 vvv12560 vvv1251 (primGEqNatS vvv12560 vvv1251))))",fontsize=16,color="burlywood",shape="box"];31301[label="vvv12560/Succ vvv125600",fontsize=10,color="white",style="solid",shape="box"];27208 -> 31301[label="",style="solid", color="burlywood", weight=9];
31301 -> 27237[label="",style="solid", color="burlywood", weight=3];
31302[label="vvv12560/Zero",fontsize=10,color="white",style="solid",shape="box"];27208 -> 31302[label="",style="solid", color="burlywood", weight=9];
31302 -> 27238[label="",style="solid", color="burlywood", weight=3];
27209[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg Zero) vvv1254) (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31303[label="vvv1254/Pos vvv12540",fontsize=10,color="white",style="solid",shape="box"];27209 -> 31303[label="",style="solid", color="burlywood", weight=9];
31303 -> 27239[label="",style="solid", color="burlywood", weight=3];
31304[label="vvv1254/Neg vvv12540",fontsize=10,color="white",style="solid",shape="box"];27209 -> 31304[label="",style="solid", color="burlywood", weight=9];
31304 -> 27240[label="",style="solid", color="burlywood", weight=3];
19848[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv821)) False) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal1 (Pos (Succ vvv821)) False) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19848 -> 19879[label="",style="solid", color="black", weight=3];
19849[label="vvv820",fontsize=16,color="green",shape="box"];19850[label="vvv821",fontsize=16,color="green",shape="box"];19851[label="vvv825",fontsize=16,color="green",shape="box"];19852[label="vvv824",fontsize=16,color="green",shape="box"];12306[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) True) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (absReal0 (Pos Zero) True) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];12306 -> 12519[label="",style="solid", color="black", weight=3];
22571[label="vvv303",fontsize=16,color="green",shape="box"];22572[label="Zero",fontsize=16,color="green",shape="box"];22573[label="vvv520",fontsize=16,color="green",shape="box"];22574[label="Zero",fontsize=16,color="green",shape="box"];22575[label="vvv51",fontsize=16,color="green",shape="box"];19874[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Pos (Succ vvv828)) False) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal1 (Pos (Succ vvv828)) False) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19874 -> 19902[label="",style="solid", color="black", weight=3];
19875[label="vvv832",fontsize=16,color="green",shape="box"];19876[label="vvv831",fontsize=16,color="green",shape="box"];19877[label="vvv827",fontsize=16,color="green",shape="box"];19878[label="vvv828",fontsize=16,color="green",shape="box"];13500[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos Zero) True) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (absReal0 (Pos Zero) True) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];13500 -> 13645[label="",style="solid", color="black", weight=3];
22945[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv104800) (Succ vvv10300) (primGEqNatS (Succ vvv104800) (Succ vvv10300)))) vvv1033) (Pos (Succ (Succ vvv10300))) (Neg (primModNatS0 (Succ vvv104800) (Succ vvv10300) (primGEqNatS (Succ vvv104800) (Succ vvv10300)))))",fontsize=16,color="black",shape="box"];22945 -> 23027[label="",style="solid", color="black", weight=3];
22946[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv104800) Zero (primGEqNatS (Succ vvv104800) Zero))) vvv1033) (Pos (Succ Zero)) (Neg (primModNatS0 (Succ vvv104800) Zero (primGEqNatS (Succ vvv104800) Zero))))",fontsize=16,color="black",shape="box"];22946 -> 23028[label="",style="solid", color="black", weight=3];
22947[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv10300) (primGEqNatS Zero (Succ vvv10300)))) vvv1033) (Pos (Succ (Succ vvv10300))) (Neg (primModNatS0 Zero (Succ vvv10300) (primGEqNatS Zero (Succ vvv10300)))))",fontsize=16,color="black",shape="box"];22947 -> 23029[label="",style="solid", color="black", weight=3];
22948[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv1033) (Pos (Succ Zero)) (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];22948 -> 23030[label="",style="solid", color="black", weight=3];
22949[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv103300))) (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="black",shape="box"];22949 -> 23031[label="",style="solid", color="black", weight=3];
22950[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="black",shape="box"];22950 -> 23032[label="",style="solid", color="black", weight=3];
22951[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv103300))) (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="black",shape="box"];22951 -> 23033[label="",style="solid", color="black", weight=3];
22952[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="black",shape="box"];22952 -> 23034[label="",style="solid", color="black", weight=3];
22636[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 vvv10370 vvv1015 (primGEqNatS vvv10370 vvv1015))) vvv1018) (Pos (Succ vvv1015)) (Pos (primModNatS0 vvv10370 vvv1015 (primGEqNatS vvv10370 vvv1015))))",fontsize=16,color="burlywood",shape="box"];31305[label="vvv10370/Succ vvv103700",fontsize=10,color="white",style="solid",shape="box"];22636 -> 31305[label="",style="solid", color="burlywood", weight=9];
31305 -> 22721[label="",style="solid", color="burlywood", weight=3];
31306[label="vvv10370/Zero",fontsize=10,color="white",style="solid",shape="box"];22636 -> 31306[label="",style="solid", color="burlywood", weight=9];
31306 -> 22722[label="",style="solid", color="burlywood", weight=3];
22637[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv1018) (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31307[label="vvv1018/Pos vvv10180",fontsize=10,color="white",style="solid",shape="box"];22637 -> 31307[label="",style="solid", color="burlywood", weight=9];
31307 -> 22723[label="",style="solid", color="burlywood", weight=3];
31308[label="vvv1018/Neg vvv10180",fontsize=10,color="white",style="solid",shape="box"];22637 -> 31308[label="",style="solid", color="burlywood", weight=9];
31308 -> 22724[label="",style="solid", color="burlywood", weight=3];
22719[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 vvv10390 vvv1022 (primGEqNatS vvv10390 vvv1022))) vvv1025) (Neg (Succ vvv1022)) (Pos (primModNatS0 vvv10390 vvv1022 (primGEqNatS vvv10390 vvv1022))))",fontsize=16,color="burlywood",shape="box"];31309[label="vvv10390/Succ vvv103900",fontsize=10,color="white",style="solid",shape="box"];22719 -> 31309[label="",style="solid", color="burlywood", weight=9];
31309 -> 22770[label="",style="solid", color="burlywood", weight=3];
31310[label="vvv10390/Zero",fontsize=10,color="white",style="solid",shape="box"];22719 -> 31310[label="",style="solid", color="burlywood", weight=9];
31310 -> 22771[label="",style="solid", color="burlywood", weight=3];
22720[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos Zero) vvv1025) (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31311[label="vvv1025/Pos vvv10250",fontsize=10,color="white",style="solid",shape="box"];22720 -> 31311[label="",style="solid", color="burlywood", weight=9];
31311 -> 22772[label="",style="solid", color="burlywood", weight=3];
31312[label="vvv1025/Neg vvv10250",fontsize=10,color="white",style="solid",shape="box"];22720 -> 31312[label="",style="solid", color="burlywood", weight=9];
31312 -> 22773[label="",style="solid", color="burlywood", weight=3];
13510[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv4550)) False) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg (Succ vvv4550)) False) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13510 -> 13654[label="",style="solid", color="black", weight=3];
21706[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat (Succ vvv9750) vvv976 == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat (Succ vvv9750) vvv976 == LT))) (Neg (Succ vvv977))))",fontsize=16,color="burlywood",shape="box"];31313[label="vvv976/Succ vvv9760",fontsize=10,color="white",style="solid",shape="box"];21706 -> 31313[label="",style="solid", color="burlywood", weight=9];
31313 -> 21717[label="",style="solid", color="burlywood", weight=3];
31314[label="vvv976/Zero",fontsize=10,color="white",style="solid",shape="box"];21706 -> 31314[label="",style="solid", color="burlywood", weight=9];
31314 -> 21718[label="",style="solid", color="burlywood", weight=3];
21707[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat Zero vvv976 == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat Zero vvv976 == LT))) (Neg (Succ vvv977))))",fontsize=16,color="burlywood",shape="box"];31315[label="vvv976/Succ vvv9760",fontsize=10,color="white",style="solid",shape="box"];21707 -> 31315[label="",style="solid", color="burlywood", weight=9];
31315 -> 21719[label="",style="solid", color="burlywood", weight=3];
31316[label="vvv976/Zero",fontsize=10,color="white",style="solid",shape="box"];21707 -> 31316[label="",style="solid", color="burlywood", weight=9];
31316 -> 21720[label="",style="solid", color="burlywood", weight=3];
13513[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not True)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not True)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13513 -> 13657[label="",style="solid", color="black", weight=3];
13514[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="triangle"];13514 -> 13658[label="",style="solid", color="black", weight=3];
13515[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not (GT == LT))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13515 -> 13659[label="",style="solid", color="black", weight=3];
23222[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv105300) (Succ vvv10430) (primGEqNatS (Succ vvv105300) (Succ vvv10430)))) vvv1046) (Pos (Succ (Succ vvv10430))) (Neg (primModNatS0 (Succ vvv105300) (Succ vvv10430) (primGEqNatS (Succ vvv105300) (Succ vvv10430)))))",fontsize=16,color="black",shape="box"];23222 -> 23351[label="",style="solid", color="black", weight=3];
23223[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv105300) Zero (primGEqNatS (Succ vvv105300) Zero))) vvv1046) (Pos (Succ Zero)) (Neg (primModNatS0 (Succ vvv105300) Zero (primGEqNatS (Succ vvv105300) Zero))))",fontsize=16,color="black",shape="box"];23223 -> 23352[label="",style="solid", color="black", weight=3];
23224[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv10430) (primGEqNatS Zero (Succ vvv10430)))) vvv1046) (Pos (Succ (Succ vvv10430))) (Neg (primModNatS0 Zero (Succ vvv10430) (primGEqNatS Zero (Succ vvv10430)))))",fontsize=16,color="black",shape="box"];23224 -> 23353[label="",style="solid", color="black", weight=3];
23225[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv1046) (Pos (Succ Zero)) (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];23225 -> 23354[label="",style="solid", color="black", weight=3];
23226[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv104600))) (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="black",shape="box"];23226 -> 23355[label="",style="solid", color="black", weight=3];
23227[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="black",shape="box"];23227 -> 23356[label="",style="solid", color="black", weight=3];
23228[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv104600))) (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="black",shape="box"];23228 -> 23357[label="",style="solid", color="black", weight=3];
23229[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="black",shape="box"];23229 -> 23358[label="",style="solid", color="black", weight=3];
17900 -> 17826[label="",style="dashed", color="red", weight=0];
17900[label="primQuotInt (Pos vvv690) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv691)) (Pos (Succ vvv694))) vvv695) (Pos (Succ vvv694)) (primRemInt (Neg (Succ vvv691)) (Pos (Succ vvv694))))",fontsize=16,color="magenta"];17900 -> 17935[label="",style="dashed", color="magenta", weight=3];
17900 -> 17936[label="",style="dashed", color="magenta", weight=3];
17900 -> 17937[label="",style="dashed", color="magenta", weight=3];
17900 -> 17938[label="",style="dashed", color="magenta", weight=3];
21741[label="vvv8720",fontsize=16,color="green",shape="box"];21742[label="vvv88900",fontsize=16,color="green",shape="box"];21743[label="Succ vvv8720",fontsize=16,color="green",shape="box"];21744[label="vvv88900",fontsize=16,color="green",shape="box"];21745[label="vvv870",fontsize=16,color="green",shape="box"];21746[label="vvv875",fontsize=16,color="green",shape="box"];21740[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS vvv985 vvv986))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS vvv985 vvv986))))",fontsize=16,color="burlywood",shape="triangle"];31318[label="vvv985/Succ vvv9850",fontsize=10,color="white",style="solid",shape="box"];21740 -> 31318[label="",style="solid", color="burlywood", weight=9];
31318 -> 21801[label="",style="solid", color="burlywood", weight=3];
31319[label="vvv985/Zero",fontsize=10,color="white",style="solid",shape="box"];21740 -> 31319[label="",style="solid", color="burlywood", weight=9];
31319 -> 21802[label="",style="solid", color="burlywood", weight=3];
20902 -> 20697[label="",style="dashed", color="red", weight=0];
20902[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv88900) Zero) (Succ Zero))) vvv875) (Pos (Succ Zero)) (Pos (primModNatS (primMinusNatS (Succ vvv88900) Zero) (Succ Zero))))",fontsize=16,color="magenta"];20902 -> 20924[label="",style="dashed", color="magenta", weight=3];
20902 -> 20925[label="",style="dashed", color="magenta", weight=3];
20902 -> 20926[label="",style="dashed", color="magenta", weight=3];
20903[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) vvv875) (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31321[label="vvv875/Pos vvv8750",fontsize=10,color="white",style="solid",shape="box"];20903 -> 31321[label="",style="solid", color="burlywood", weight=9];
31321 -> 20927[label="",style="solid", color="burlywood", weight=3];
31322[label="vvv875/Neg vvv8750",fontsize=10,color="white",style="solid",shape="box"];20903 -> 31322[label="",style="solid", color="burlywood", weight=9];
31322 -> 20928[label="",style="solid", color="burlywood", weight=3];
20904 -> 20697[label="",style="dashed", color="red", weight=0];
20904[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv875) (Pos (Succ Zero)) (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];20904 -> 20929[label="",style="dashed", color="magenta", weight=3];
20904 -> 20930[label="",style="dashed", color="magenta", weight=3];
20904 -> 20931[label="",style="dashed", color="magenta", weight=3];
20905[label="primQuotInt (Pos vvv870) (gcd0Gcd'0 (Pos (Succ vvv872)) (Pos Zero))",fontsize=16,color="black",shape="box"];20905 -> 20932[label="",style="solid", color="black", weight=3];
20906 -> 7805[label="",style="dashed", color="red", weight=0];
20906[label="primQuotInt (Pos vvv870) (Pos (Succ vvv872))",fontsize=16,color="magenta"];20906 -> 20933[label="",style="dashed", color="magenta", weight=3];
20906 -> 20934[label="",style="dashed", color="magenta", weight=3];
19012 -> 15027[label="",style="dashed", color="red", weight=0];
19012[label="primRemInt (Neg (Succ vvv756)) (Pos Zero)",fontsize=16,color="magenta"];19012 -> 19110[label="",style="dashed", color="magenta", weight=3];
22638[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103500) vvv1008 (primGEqNatS (Succ vvv103500) vvv1008))) vvv1011) (Neg (Succ vvv1008)) (Pos (primModNatS0 (Succ vvv103500) vvv1008 (primGEqNatS (Succ vvv103500) vvv1008))))",fontsize=16,color="burlywood",shape="box"];31326[label="vvv1008/Succ vvv10080",fontsize=10,color="white",style="solid",shape="box"];22638 -> 31326[label="",style="solid", color="burlywood", weight=9];
31326 -> 22725[label="",style="solid", color="burlywood", weight=3];
31327[label="vvv1008/Zero",fontsize=10,color="white",style="solid",shape="box"];22638 -> 31327[label="",style="solid", color="burlywood", weight=9];
31327 -> 22726[label="",style="solid", color="burlywood", weight=3];
22639[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero vvv1008 (primGEqNatS Zero vvv1008))) vvv1011) (Neg (Succ vvv1008)) (Pos (primModNatS0 Zero vvv1008 (primGEqNatS Zero vvv1008))))",fontsize=16,color="burlywood",shape="box"];31328[label="vvv1008/Succ vvv10080",fontsize=10,color="white",style="solid",shape="box"];22639 -> 31328[label="",style="solid", color="burlywood", weight=9];
31328 -> 22727[label="",style="solid", color="burlywood", weight=3];
31329[label="vvv1008/Zero",fontsize=10,color="white",style="solid",shape="box"];22639 -> 31329[label="",style="solid", color="burlywood", weight=9];
31329 -> 22728[label="",style="solid", color="burlywood", weight=3];
22640[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv10110)) (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31330[label="vvv10110/Succ vvv101100",fontsize=10,color="white",style="solid",shape="box"];22640 -> 31330[label="",style="solid", color="burlywood", weight=9];
31330 -> 22729[label="",style="solid", color="burlywood", weight=3];
31331[label="vvv10110/Zero",fontsize=10,color="white",style="solid",shape="box"];22640 -> 31331[label="",style="solid", color="burlywood", weight=9];
31331 -> 22730[label="",style="solid", color="burlywood", weight=3];
22641[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv10110)) (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31332[label="vvv10110/Succ vvv101100",fontsize=10,color="white",style="solid",shape="box"];22641 -> 31332[label="",style="solid", color="burlywood", weight=9];
31332 -> 22731[label="",style="solid", color="burlywood", weight=3];
31333[label="vvv10110/Zero",fontsize=10,color="white",style="solid",shape="box"];22641 -> 31333[label="",style="solid", color="burlywood", weight=9];
31333 -> 22732[label="",style="solid", color="burlywood", weight=3];
19898[label="vvv8400",fontsize=16,color="green",shape="box"];19899[label="vvv8390",fontsize=16,color="green",shape="box"];19900[label="Succ (primDivNatS (primMinusNatS (Succ vvv837) (Succ vvv838)) (Succ (Succ vvv838)))",fontsize=16,color="green",shape="box"];19900 -> 19921[label="",style="dashed", color="green", weight=3];
19901[label="Zero",fontsize=16,color="green",shape="box"];13584 -> 13044[label="",style="dashed", color="red", weight=0];
13584[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv4270)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (Pos (Succ vvv4270)) (Neg (Succ vvv423))))",fontsize=16,color="magenta"];13584 -> 13706[label="",style="dashed", color="magenta", weight=3];
13584 -> 13707[label="",style="dashed", color="magenta", weight=3];
13584 -> 13708[label="",style="dashed", color="magenta", weight=3];
13584 -> 13709[label="",style="dashed", color="magenta", weight=3];
19730[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv803)) (Neg (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (primRemInt (Neg (Succ vvv803)) (Neg (Succ vvv806))))",fontsize=16,color="black",shape="triangle"];19730 -> 19826[label="",style="solid", color="black", weight=3];
13590[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg Zero)) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (primNegInt (Neg Zero)) (Neg (Succ vvv423))))",fontsize=16,color="black",shape="box"];13590 -> 13715[label="",style="solid", color="black", weight=3];
24050[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv108400) vvv1070 (primGEqNatS (Succ vvv108400) vvv1070))) vvv1073) (Neg (Succ vvv1070)) (Neg (primModNatS0 (Succ vvv108400) vvv1070 (primGEqNatS (Succ vvv108400) vvv1070))))",fontsize=16,color="burlywood",shape="box"];31335[label="vvv1070/Succ vvv10700",fontsize=10,color="white",style="solid",shape="box"];24050 -> 31335[label="",style="solid", color="burlywood", weight=9];
31335 -> 24092[label="",style="solid", color="burlywood", weight=3];
31336[label="vvv1070/Zero",fontsize=10,color="white",style="solid",shape="box"];24050 -> 31336[label="",style="solid", color="burlywood", weight=9];
31336 -> 24093[label="",style="solid", color="burlywood", weight=3];
24051[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero vvv1070 (primGEqNatS Zero vvv1070))) vvv1073) (Neg (Succ vvv1070)) (Neg (primModNatS0 Zero vvv1070 (primGEqNatS Zero vvv1070))))",fontsize=16,color="burlywood",shape="box"];31337[label="vvv1070/Succ vvv10700",fontsize=10,color="white",style="solid",shape="box"];24051 -> 31337[label="",style="solid", color="burlywood", weight=9];
31337 -> 24094[label="",style="solid", color="burlywood", weight=3];
31338[label="vvv1070/Zero",fontsize=10,color="white",style="solid",shape="box"];24051 -> 31338[label="",style="solid", color="burlywood", weight=9];
31338 -> 24095[label="",style="solid", color="burlywood", weight=3];
24052[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv10730)) (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31339[label="vvv10730/Succ vvv107300",fontsize=10,color="white",style="solid",shape="box"];24052 -> 31339[label="",style="solid", color="burlywood", weight=9];
31339 -> 24096[label="",style="solid", color="burlywood", weight=3];
31340[label="vvv10730/Zero",fontsize=10,color="white",style="solid",shape="box"];24052 -> 31340[label="",style="solid", color="burlywood", weight=9];
31340 -> 24097[label="",style="solid", color="burlywood", weight=3];
24053[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv10730)) (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31341[label="vvv10730/Succ vvv107300",fontsize=10,color="white",style="solid",shape="box"];24053 -> 31341[label="",style="solid", color="burlywood", weight=9];
31341 -> 24098[label="",style="solid", color="burlywood", weight=3];
31342[label="vvv10730/Zero",fontsize=10,color="white",style="solid",shape="box"];24053 -> 31342[label="",style="solid", color="burlywood", weight=9];
31342 -> 24099[label="",style="solid", color="burlywood", weight=3];
19853[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv814)) otherwise) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal0 (Pos (Succ vvv814)) otherwise) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19853 -> 19880[label="",style="solid", color="black", weight=3];
13616[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos Zero) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (`negate` Pos Zero) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];13616 -> 13738[label="",style="solid", color="black", weight=3];
19109 -> 15075[label="",style="dashed", color="red", weight=0];
19109[label="primRemInt (Neg (Succ vvv760)) (Neg Zero)",fontsize=16,color="magenta"];19109 -> 19138[label="",style="dashed", color="magenta", weight=3];
27237[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv125600) vvv1251 (primGEqNatS (Succ vvv125600) vvv1251))) vvv1254) (Neg (Succ vvv1251)) (Neg (primModNatS0 (Succ vvv125600) vvv1251 (primGEqNatS (Succ vvv125600) vvv1251))))",fontsize=16,color="burlywood",shape="box"];31344[label="vvv1251/Succ vvv12510",fontsize=10,color="white",style="solid",shape="box"];27237 -> 31344[label="",style="solid", color="burlywood", weight=9];
31344 -> 27271[label="",style="solid", color="burlywood", weight=3];
31345[label="vvv1251/Zero",fontsize=10,color="white",style="solid",shape="box"];27237 -> 31345[label="",style="solid", color="burlywood", weight=9];
31345 -> 27272[label="",style="solid", color="burlywood", weight=3];
27238[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero vvv1251 (primGEqNatS Zero vvv1251))) vvv1254) (Neg (Succ vvv1251)) (Neg (primModNatS0 Zero vvv1251 (primGEqNatS Zero vvv1251))))",fontsize=16,color="burlywood",shape="box"];31346[label="vvv1251/Succ vvv12510",fontsize=10,color="white",style="solid",shape="box"];27238 -> 31346[label="",style="solid", color="burlywood", weight=9];
31346 -> 27273[label="",style="solid", color="burlywood", weight=3];
31347[label="vvv1251/Zero",fontsize=10,color="white",style="solid",shape="box"];27238 -> 31347[label="",style="solid", color="burlywood", weight=9];
31347 -> 27274[label="",style="solid", color="burlywood", weight=3];
27239[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos vvv12540)) (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31348[label="vvv12540/Succ vvv125400",fontsize=10,color="white",style="solid",shape="box"];27239 -> 31348[label="",style="solid", color="burlywood", weight=9];
31348 -> 27275[label="",style="solid", color="burlywood", weight=3];
31349[label="vvv12540/Zero",fontsize=10,color="white",style="solid",shape="box"];27239 -> 31349[label="",style="solid", color="burlywood", weight=9];
31349 -> 27276[label="",style="solid", color="burlywood", weight=3];
27240[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg vvv12540)) (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="burlywood",shape="box"];31350[label="vvv12540/Succ vvv125400",fontsize=10,color="white",style="solid",shape="box"];27240 -> 31350[label="",style="solid", color="burlywood", weight=9];
31350 -> 27277[label="",style="solid", color="burlywood", weight=3];
31351[label="vvv12540/Zero",fontsize=10,color="white",style="solid",shape="box"];27240 -> 31351[label="",style="solid", color="burlywood", weight=9];
31351 -> 27278[label="",style="solid", color="burlywood", weight=3];
19879[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv821)) otherwise) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal0 (Pos (Succ vvv821)) otherwise) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19879 -> 19903[label="",style="solid", color="black", weight=3];
12519[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos Zero) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (`negate` Pos Zero) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];12519 -> 12713[label="",style="solid", color="black", weight=3];
19902[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv828)) otherwise) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal0 (Pos (Succ vvv828)) otherwise) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19902 -> 19922[label="",style="solid", color="black", weight=3];
13645[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos Zero) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (`negate` Pos Zero) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];13645 -> 13766[label="",style="solid", color="black", weight=3];
23027 -> 25914[label="",style="dashed", color="red", weight=0];
23027[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv104800) (Succ vvv10300) (primGEqNatS vvv104800 vvv10300))) vvv1033) (Pos (Succ (Succ vvv10300))) (Neg (primModNatS0 (Succ vvv104800) (Succ vvv10300) (primGEqNatS vvv104800 vvv10300))))",fontsize=16,color="magenta"];23027 -> 25915[label="",style="dashed", color="magenta", weight=3];
23027 -> 25916[label="",style="dashed", color="magenta", weight=3];
23027 -> 25917[label="",style="dashed", color="magenta", weight=3];
23027 -> 25918[label="",style="dashed", color="magenta", weight=3];
23027 -> 25919[label="",style="dashed", color="magenta", weight=3];
23027 -> 25920[label="",style="dashed", color="magenta", weight=3];
23028[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv104800) Zero True)) vvv1033) (Pos (Succ Zero)) (Neg (primModNatS0 (Succ vvv104800) Zero True)))",fontsize=16,color="black",shape="box"];23028 -> 23086[label="",style="solid", color="black", weight=3];
23029[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv10300) False)) vvv1033) (Pos (Succ (Succ vvv10300))) (Neg (primModNatS0 Zero (Succ vvv10300) False)))",fontsize=16,color="black",shape="box"];23029 -> 23087[label="",style="solid", color="black", weight=3];
23030[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero True)) vvv1033) (Pos (Succ Zero)) (Neg (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];23030 -> 23088[label="",style="solid", color="black", weight=3];
23031[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 False (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];23031 -> 23089[label="",style="solid", color="black", weight=3];
23032[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 True (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];23032 -> 23090[label="",style="solid", color="black", weight=3];
23033 -> 23031[label="",style="dashed", color="red", weight=0];
23033[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 False (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="magenta"];23034 -> 23032[label="",style="dashed", color="red", weight=0];
23034[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 True (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="magenta"];22721[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103700) vvv1015 (primGEqNatS (Succ vvv103700) vvv1015))) vvv1018) (Pos (Succ vvv1015)) (Pos (primModNatS0 (Succ vvv103700) vvv1015 (primGEqNatS (Succ vvv103700) vvv1015))))",fontsize=16,color="burlywood",shape="box"];31355[label="vvv1015/Succ vvv10150",fontsize=10,color="white",style="solid",shape="box"];22721 -> 31355[label="",style="solid", color="burlywood", weight=9];
31355 -> 22774[label="",style="solid", color="burlywood", weight=3];
31356[label="vvv1015/Zero",fontsize=10,color="white",style="solid",shape="box"];22721 -> 31356[label="",style="solid", color="burlywood", weight=9];
31356 -> 22775[label="",style="solid", color="burlywood", weight=3];
22722[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero vvv1015 (primGEqNatS Zero vvv1015))) vvv1018) (Pos (Succ vvv1015)) (Pos (primModNatS0 Zero vvv1015 (primGEqNatS Zero vvv1015))))",fontsize=16,color="burlywood",shape="box"];31357[label="vvv1015/Succ vvv10150",fontsize=10,color="white",style="solid",shape="box"];22722 -> 31357[label="",style="solid", color="burlywood", weight=9];
31357 -> 22776[label="",style="solid", color="burlywood", weight=3];
31358[label="vvv1015/Zero",fontsize=10,color="white",style="solid",shape="box"];22722 -> 31358[label="",style="solid", color="burlywood", weight=9];
31358 -> 22777[label="",style="solid", color="burlywood", weight=3];
22723[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv10180)) (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31359[label="vvv10180/Succ vvv101800",fontsize=10,color="white",style="solid",shape="box"];22723 -> 31359[label="",style="solid", color="burlywood", weight=9];
31359 -> 22778[label="",style="solid", color="burlywood", weight=3];
31360[label="vvv10180/Zero",fontsize=10,color="white",style="solid",shape="box"];22723 -> 31360[label="",style="solid", color="burlywood", weight=9];
31360 -> 22779[label="",style="solid", color="burlywood", weight=3];
22724[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv10180)) (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31361[label="vvv10180/Succ vvv101800",fontsize=10,color="white",style="solid",shape="box"];22724 -> 31361[label="",style="solid", color="burlywood", weight=9];
31361 -> 22780[label="",style="solid", color="burlywood", weight=3];
31362[label="vvv10180/Zero",fontsize=10,color="white",style="solid",shape="box"];22724 -> 31362[label="",style="solid", color="burlywood", weight=9];
31362 -> 22781[label="",style="solid", color="burlywood", weight=3];
22770[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103900) vvv1022 (primGEqNatS (Succ vvv103900) vvv1022))) vvv1025) (Neg (Succ vvv1022)) (Pos (primModNatS0 (Succ vvv103900) vvv1022 (primGEqNatS (Succ vvv103900) vvv1022))))",fontsize=16,color="burlywood",shape="box"];31363[label="vvv1022/Succ vvv10220",fontsize=10,color="white",style="solid",shape="box"];22770 -> 31363[label="",style="solid", color="burlywood", weight=9];
31363 -> 22813[label="",style="solid", color="burlywood", weight=3];
31364[label="vvv1022/Zero",fontsize=10,color="white",style="solid",shape="box"];22770 -> 31364[label="",style="solid", color="burlywood", weight=9];
31364 -> 22814[label="",style="solid", color="burlywood", weight=3];
22771[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero vvv1022 (primGEqNatS Zero vvv1022))) vvv1025) (Neg (Succ vvv1022)) (Pos (primModNatS0 Zero vvv1022 (primGEqNatS Zero vvv1022))))",fontsize=16,color="burlywood",shape="box"];31365[label="vvv1022/Succ vvv10220",fontsize=10,color="white",style="solid",shape="box"];22771 -> 31365[label="",style="solid", color="burlywood", weight=9];
31365 -> 22815[label="",style="solid", color="burlywood", weight=3];
31366[label="vvv1022/Zero",fontsize=10,color="white",style="solid",shape="box"];22771 -> 31366[label="",style="solid", color="burlywood", weight=9];
31366 -> 22816[label="",style="solid", color="burlywood", weight=3];
22772[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos vvv10250)) (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31367[label="vvv10250/Succ vvv102500",fontsize=10,color="white",style="solid",shape="box"];22772 -> 31367[label="",style="solid", color="burlywood", weight=9];
31367 -> 22817[label="",style="solid", color="burlywood", weight=3];
31368[label="vvv10250/Zero",fontsize=10,color="white",style="solid",shape="box"];22772 -> 31368[label="",style="solid", color="burlywood", weight=9];
31368 -> 22818[label="",style="solid", color="burlywood", weight=3];
22773[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg vvv10250)) (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="burlywood",shape="box"];31369[label="vvv10250/Succ vvv102500",fontsize=10,color="white",style="solid",shape="box"];22773 -> 31369[label="",style="solid", color="burlywood", weight=9];
31369 -> 22819[label="",style="solid", color="burlywood", weight=3];
31370[label="vvv10250/Zero",fontsize=10,color="white",style="solid",shape="box"];22773 -> 31370[label="",style="solid", color="burlywood", weight=9];
31370 -> 22820[label="",style="solid", color="burlywood", weight=3];
13654[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv4550)) otherwise) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal0 (Neg (Succ vvv4550)) otherwise) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13654 -> 13774[label="",style="solid", color="black", weight=3];
21717[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat (Succ vvv9750) (Succ vvv9760) == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat (Succ vvv9750) (Succ vvv9760) == LT))) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="box"];21717 -> 21803[label="",style="solid", color="black", weight=3];
21718[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat (Succ vvv9750) Zero == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat (Succ vvv9750) Zero == LT))) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="box"];21718 -> 21804[label="",style="solid", color="black", weight=3];
21719[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat Zero (Succ vvv9760) == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat Zero (Succ vvv9760) == LT))) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="box"];21719 -> 21805[label="",style="solid", color="black", weight=3];
21720[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat Zero Zero == LT))) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="box"];21720 -> 21806[label="",style="solid", color="black", weight=3];
13657[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) False) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) False) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13657 -> 13779[label="",style="solid", color="black", weight=3];
13658[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) True) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) True) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13658 -> 13780[label="",style="solid", color="black", weight=3];
13659 -> 13514[label="",style="dashed", color="red", weight=0];
13659[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal1 (Neg Zero) (not False)) (Neg (Succ vvv451))))",fontsize=16,color="magenta"];23351 -> 26032[label="",style="dashed", color="red", weight=0];
23351[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv105300) (Succ vvv10430) (primGEqNatS vvv105300 vvv10430))) vvv1046) (Pos (Succ (Succ vvv10430))) (Neg (primModNatS0 (Succ vvv105300) (Succ vvv10430) (primGEqNatS vvv105300 vvv10430))))",fontsize=16,color="magenta"];23351 -> 26033[label="",style="dashed", color="magenta", weight=3];
23351 -> 26034[label="",style="dashed", color="magenta", weight=3];
23351 -> 26035[label="",style="dashed", color="magenta", weight=3];
23351 -> 26036[label="",style="dashed", color="magenta", weight=3];
23351 -> 26037[label="",style="dashed", color="magenta", weight=3];
23351 -> 26038[label="",style="dashed", color="magenta", weight=3];
23352[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv105300) Zero True)) vvv1046) (Pos (Succ Zero)) (Neg (primModNatS0 (Succ vvv105300) Zero True)))",fontsize=16,color="black",shape="box"];23352 -> 23400[label="",style="solid", color="black", weight=3];
23353[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv10430) False)) vvv1046) (Pos (Succ (Succ vvv10430))) (Neg (primModNatS0 Zero (Succ vvv10430) False)))",fontsize=16,color="black",shape="box"];23353 -> 23401[label="",style="solid", color="black", weight=3];
23354[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero True)) vvv1046) (Pos (Succ Zero)) (Neg (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];23354 -> 23402[label="",style="solid", color="black", weight=3];
23355[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 False (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];23355 -> 23403[label="",style="solid", color="black", weight=3];
23356[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 True (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];23356 -> 23404[label="",style="solid", color="black", weight=3];
23357 -> 23355[label="",style="dashed", color="red", weight=0];
23357[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 False (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="magenta"];23358 -> 23356[label="",style="dashed", color="red", weight=0];
23358[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 True (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="magenta"];17935[label="vvv695",fontsize=16,color="green",shape="box"];17936[label="vvv691",fontsize=16,color="green",shape="box"];17937[label="vvv690",fontsize=16,color="green",shape="box"];17938[label="vvv694",fontsize=16,color="green",shape="box"];21801[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS (Succ vvv9850) vvv986))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS (Succ vvv9850) vvv986))))",fontsize=16,color="burlywood",shape="box"];31375[label="vvv986/Succ vvv9860",fontsize=10,color="white",style="solid",shape="box"];21801 -> 31375[label="",style="solid", color="burlywood", weight=9];
31375 -> 21816[label="",style="solid", color="burlywood", weight=3];
31376[label="vvv986/Zero",fontsize=10,color="white",style="solid",shape="box"];21801 -> 31376[label="",style="solid", color="burlywood", weight=9];
31376 -> 21817[label="",style="solid", color="burlywood", weight=3];
21802[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS Zero vvv986))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS Zero vvv986))))",fontsize=16,color="burlywood",shape="box"];31377[label="vvv986/Succ vvv9860",fontsize=10,color="white",style="solid",shape="box"];21802 -> 31377[label="",style="solid", color="burlywood", weight=9];
31377 -> 21818[label="",style="solid", color="burlywood", weight=3];
31378[label="vvv986/Zero",fontsize=10,color="white",style="solid",shape="box"];21802 -> 31378[label="",style="solid", color="burlywood", weight=9];
31378 -> 21819[label="",style="solid", color="burlywood", weight=3];
20924[label="Zero",fontsize=16,color="green",shape="box"];20925 -> 18617[label="",style="dashed", color="red", weight=0];
20925[label="primMinusNatS (Succ vvv88900) Zero",fontsize=16,color="magenta"];20925 -> 20957[label="",style="dashed", color="magenta", weight=3];
20925 -> 20958[label="",style="dashed", color="magenta", weight=3];
20926 -> 18617[label="",style="dashed", color="red", weight=0];
20926[label="primMinusNatS (Succ vvv88900) Zero",fontsize=16,color="magenta"];20926 -> 20959[label="",style="dashed", color="magenta", weight=3];
20926 -> 20960[label="",style="dashed", color="magenta", weight=3];
20927[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos vvv8750)) (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31381[label="vvv8750/Succ vvv87500",fontsize=10,color="white",style="solid",shape="box"];20927 -> 31381[label="",style="solid", color="burlywood", weight=9];
31381 -> 20961[label="",style="solid", color="burlywood", weight=3];
31382[label="vvv8750/Zero",fontsize=10,color="white",style="solid",shape="box"];20927 -> 31382[label="",style="solid", color="burlywood", weight=9];
31382 -> 20962[label="",style="solid", color="burlywood", weight=3];
20928[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Neg vvv8750)) (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];20928 -> 20963[label="",style="solid", color="black", weight=3];
20929[label="Zero",fontsize=16,color="green",shape="box"];20930 -> 18617[label="",style="dashed", color="red", weight=0];
20930[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];20930 -> 20964[label="",style="dashed", color="magenta", weight=3];
20930 -> 20965[label="",style="dashed", color="magenta", weight=3];
20931 -> 18617[label="",style="dashed", color="red", weight=0];
20931[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];20931 -> 20966[label="",style="dashed", color="magenta", weight=3];
20931 -> 20967[label="",style="dashed", color="magenta", weight=3];
20932 -> 20968[label="",style="dashed", color="red", weight=0];
20932[label="primQuotInt (Pos vvv870) (gcd0Gcd' (Pos Zero) (Pos (Succ vvv872) `rem` Pos Zero))",fontsize=16,color="magenta"];20932 -> 20973[label="",style="dashed", color="magenta", weight=3];
20933[label="vvv872",fontsize=16,color="green",shape="box"];20934[label="vvv870",fontsize=16,color="green",shape="box"];19110[label="vvv756",fontsize=16,color="green",shape="box"];22725[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103500) (Succ vvv10080) (primGEqNatS (Succ vvv103500) (Succ vvv10080)))) vvv1011) (Neg (Succ (Succ vvv10080))) (Pos (primModNatS0 (Succ vvv103500) (Succ vvv10080) (primGEqNatS (Succ vvv103500) (Succ vvv10080)))))",fontsize=16,color="black",shape="box"];22725 -> 22782[label="",style="solid", color="black", weight=3];
22726[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103500) Zero (primGEqNatS (Succ vvv103500) Zero))) vvv1011) (Neg (Succ Zero)) (Pos (primModNatS0 (Succ vvv103500) Zero (primGEqNatS (Succ vvv103500) Zero))))",fontsize=16,color="black",shape="box"];22726 -> 22783[label="",style="solid", color="black", weight=3];
22727[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv10080) (primGEqNatS Zero (Succ vvv10080)))) vvv1011) (Neg (Succ (Succ vvv10080))) (Pos (primModNatS0 Zero (Succ vvv10080) (primGEqNatS Zero (Succ vvv10080)))))",fontsize=16,color="black",shape="box"];22727 -> 22784[label="",style="solid", color="black", weight=3];
22728[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv1011) (Neg (Succ Zero)) (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];22728 -> 22785[label="",style="solid", color="black", weight=3];
22729[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv101100))) (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="black",shape="box"];22729 -> 22786[label="",style="solid", color="black", weight=3];
22730[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="black",shape="box"];22730 -> 22787[label="",style="solid", color="black", weight=3];
22731[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv101100))) (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="black",shape="box"];22731 -> 22788[label="",style="solid", color="black", weight=3];
22732[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="black",shape="box"];22732 -> 22789[label="",style="solid", color="black", weight=3];
19921 -> 8348[label="",style="dashed", color="red", weight=0];
19921[label="primDivNatS (primMinusNatS (Succ vvv837) (Succ vvv838)) (Succ (Succ vvv838))",fontsize=16,color="magenta"];19921 -> 19943[label="",style="dashed", color="magenta", weight=3];
19921 -> 19944[label="",style="dashed", color="magenta", weight=3];
13706[label="vvv477",fontsize=16,color="green",shape="box"];13707[label="vvv423",fontsize=16,color="green",shape="box"];13708[label="vvv422",fontsize=16,color="green",shape="box"];13709[label="vvv4270",fontsize=16,color="green",shape="box"];19826 -> 23956[label="",style="dashed", color="red", weight=0];
19826[label="primQuotInt (Neg vvv802) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv803) (Succ vvv806))) vvv807) (Neg (Succ vvv806)) (Neg (primModNatS (Succ vvv803) (Succ vvv806))))",fontsize=16,color="magenta"];19826 -> 23962[label="",style="dashed", color="magenta", weight=3];
19826 -> 23963[label="",style="dashed", color="magenta", weight=3];
19826 -> 23964[label="",style="dashed", color="magenta", weight=3];
19826 -> 23965[label="",style="dashed", color="magenta", weight=3];
19826 -> 23966[label="",style="dashed", color="magenta", weight=3];
13715 -> 12228[label="",style="dashed", color="red", weight=0];
13715[label="primQuotInt (Neg vvv422) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg (Succ vvv423))) vvv477) (Neg (Succ vvv423)) (primRemInt (Pos Zero) (Neg (Succ vvv423))))",fontsize=16,color="magenta"];13715 -> 13810[label="",style="dashed", color="magenta", weight=3];
13715 -> 13811[label="",style="dashed", color="magenta", weight=3];
13715 -> 13812[label="",style="dashed", color="magenta", weight=3];
24092[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv108400) (Succ vvv10700) (primGEqNatS (Succ vvv108400) (Succ vvv10700)))) vvv1073) (Neg (Succ (Succ vvv10700))) (Neg (primModNatS0 (Succ vvv108400) (Succ vvv10700) (primGEqNatS (Succ vvv108400) (Succ vvv10700)))))",fontsize=16,color="black",shape="box"];24092 -> 24123[label="",style="solid", color="black", weight=3];
24093[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv108400) Zero (primGEqNatS (Succ vvv108400) Zero))) vvv1073) (Neg (Succ Zero)) (Neg (primModNatS0 (Succ vvv108400) Zero (primGEqNatS (Succ vvv108400) Zero))))",fontsize=16,color="black",shape="box"];24093 -> 24124[label="",style="solid", color="black", weight=3];
24094[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv10700) (primGEqNatS Zero (Succ vvv10700)))) vvv1073) (Neg (Succ (Succ vvv10700))) (Neg (primModNatS0 Zero (Succ vvv10700) (primGEqNatS Zero (Succ vvv10700)))))",fontsize=16,color="black",shape="box"];24094 -> 24125[label="",style="solid", color="black", weight=3];
24095[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv1073) (Neg (Succ Zero)) (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];24095 -> 24126[label="",style="solid", color="black", weight=3];
24096[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv107300))) (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="black",shape="box"];24096 -> 24127[label="",style="solid", color="black", weight=3];
24097[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="black",shape="box"];24097 -> 24128[label="",style="solid", color="black", weight=3];
24098[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv107300))) (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="black",shape="box"];24098 -> 24129[label="",style="solid", color="black", weight=3];
24099[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="black",shape="box"];24099 -> 24130[label="",style="solid", color="black", weight=3];
19880[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv814)) True) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (absReal0 (Pos (Succ vvv814)) True) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19880 -> 19904[label="",style="solid", color="black", weight=3];
13738[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos Zero)) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (primNegInt (Pos Zero)) (Neg (Succ vvv416))))",fontsize=16,color="black",shape="box"];13738 -> 13880[label="",style="solid", color="black", weight=3];
19138[label="vvv760",fontsize=16,color="green",shape="box"];27271[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv125600) (Succ vvv12510) (primGEqNatS (Succ vvv125600) (Succ vvv12510)))) vvv1254) (Neg (Succ (Succ vvv12510))) (Neg (primModNatS0 (Succ vvv125600) (Succ vvv12510) (primGEqNatS (Succ vvv125600) (Succ vvv12510)))))",fontsize=16,color="black",shape="box"];27271 -> 27315[label="",style="solid", color="black", weight=3];
27272[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv125600) Zero (primGEqNatS (Succ vvv125600) Zero))) vvv1254) (Neg (Succ Zero)) (Neg (primModNatS0 (Succ vvv125600) Zero (primGEqNatS (Succ vvv125600) Zero))))",fontsize=16,color="black",shape="box"];27272 -> 27316[label="",style="solid", color="black", weight=3];
27273[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv12510) (primGEqNatS Zero (Succ vvv12510)))) vvv1254) (Neg (Succ (Succ vvv12510))) (Neg (primModNatS0 Zero (Succ vvv12510) (primGEqNatS Zero (Succ vvv12510)))))",fontsize=16,color="black",shape="box"];27273 -> 27317[label="",style="solid", color="black", weight=3];
27274[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv1254) (Neg (Succ Zero)) (Neg (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];27274 -> 27318[label="",style="solid", color="black", weight=3];
27275[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos (Succ vvv125400))) (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="black",shape="box"];27275 -> 27319[label="",style="solid", color="black", weight=3];
27276[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg Zero) (Pos Zero)) (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="black",shape="box"];27276 -> 27320[label="",style="solid", color="black", weight=3];
27277[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg (Succ vvv125400))) (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="black",shape="box"];27277 -> 27321[label="",style="solid", color="black", weight=3];
27278[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg Zero) (Neg Zero)) (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="black",shape="box"];27278 -> 27322[label="",style="solid", color="black", weight=3];
19903[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv821)) True) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (absReal0 (Pos (Succ vvv821)) True) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19903 -> 19923[label="",style="solid", color="black", weight=3];
12713[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos Zero)) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (primNegInt (Pos Zero)) (Pos (Succ vvv520))))",fontsize=16,color="black",shape="box"];12713 -> 13228[label="",style="solid", color="black", weight=3];
19922[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Pos (Succ vvv828)) True) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (absReal0 (Pos (Succ vvv828)) True) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19922 -> 19945[label="",style="solid", color="black", weight=3];
13766[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos Zero)) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (primNegInt (Pos Zero)) (Neg (Succ vvv437))))",fontsize=16,color="black",shape="box"];13766 -> 13958[label="",style="solid", color="black", weight=3];
25915[label="vvv1028",fontsize=16,color="green",shape="box"];25916[label="vvv1033",fontsize=16,color="green",shape="box"];25917[label="vvv104800",fontsize=16,color="green",shape="box"];25918[label="vvv104800",fontsize=16,color="green",shape="box"];25919[label="Succ vvv10300",fontsize=16,color="green",shape="box"];25920[label="vvv10300",fontsize=16,color="green",shape="box"];25914[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS vvv1189 vvv1190))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS vvv1189 vvv1190))))",fontsize=16,color="burlywood",shape="triangle"];31389[label="vvv1189/Succ vvv11890",fontsize=10,color="white",style="solid",shape="box"];25914 -> 31389[label="",style="solid", color="burlywood", weight=9];
31389 -> 25975[label="",style="solid", color="burlywood", weight=3];
31390[label="vvv1189/Zero",fontsize=10,color="white",style="solid",shape="box"];25914 -> 31390[label="",style="solid", color="burlywood", weight=9];
31390 -> 25976[label="",style="solid", color="burlywood", weight=3];
23086 -> 22735[label="",style="dashed", color="red", weight=0];
23086[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv104800) Zero) (Succ Zero))) vvv1033) (Pos (Succ Zero)) (Neg (primModNatS (primMinusNatS (Succ vvv104800) Zero) (Succ Zero))))",fontsize=16,color="magenta"];23086 -> 23153[label="",style="dashed", color="magenta", weight=3];
23086 -> 23154[label="",style="dashed", color="magenta", weight=3];
23086 -> 23155[label="",style="dashed", color="magenta", weight=3];
23087[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) vvv1033) (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31392[label="vvv1033/Pos vvv10330",fontsize=10,color="white",style="solid",shape="box"];23087 -> 31392[label="",style="solid", color="burlywood", weight=9];
31392 -> 23156[label="",style="solid", color="burlywood", weight=3];
31393[label="vvv1033/Neg vvv10330",fontsize=10,color="white",style="solid",shape="box"];23087 -> 31393[label="",style="solid", color="burlywood", weight=9];
31393 -> 23157[label="",style="solid", color="burlywood", weight=3];
23088 -> 22735[label="",style="dashed", color="red", weight=0];
23088[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv1033) (Pos (Succ Zero)) (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];23088 -> 23158[label="",style="dashed", color="magenta", weight=3];
23088 -> 23159[label="",style="dashed", color="magenta", weight=3];
23088 -> 23160[label="",style="dashed", color="magenta", weight=3];
23089[label="primQuotInt (Neg vvv1028) (gcd0Gcd'0 (Pos (Succ vvv1030)) (Neg Zero))",fontsize=16,color="black",shape="box"];23089 -> 23161[label="",style="solid", color="black", weight=3];
23090 -> 7966[label="",style="dashed", color="red", weight=0];
23090[label="primQuotInt (Neg vvv1028) (Pos (Succ vvv1030))",fontsize=16,color="magenta"];23090 -> 23162[label="",style="dashed", color="magenta", weight=3];
23090 -> 23163[label="",style="dashed", color="magenta", weight=3];
22774[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103700) (Succ vvv10150) (primGEqNatS (Succ vvv103700) (Succ vvv10150)))) vvv1018) (Pos (Succ (Succ vvv10150))) (Pos (primModNatS0 (Succ vvv103700) (Succ vvv10150) (primGEqNatS (Succ vvv103700) (Succ vvv10150)))))",fontsize=16,color="black",shape="box"];22774 -> 22821[label="",style="solid", color="black", weight=3];
22775[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103700) Zero (primGEqNatS (Succ vvv103700) Zero))) vvv1018) (Pos (Succ Zero)) (Pos (primModNatS0 (Succ vvv103700) Zero (primGEqNatS (Succ vvv103700) Zero))))",fontsize=16,color="black",shape="box"];22775 -> 22822[label="",style="solid", color="black", weight=3];
22776[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv10150) (primGEqNatS Zero (Succ vvv10150)))) vvv1018) (Pos (Succ (Succ vvv10150))) (Pos (primModNatS0 Zero (Succ vvv10150) (primGEqNatS Zero (Succ vvv10150)))))",fontsize=16,color="black",shape="box"];22776 -> 22823[label="",style="solid", color="black", weight=3];
22777[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv1018) (Pos (Succ Zero)) (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];22777 -> 22824[label="",style="solid", color="black", weight=3];
22778[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv101800))) (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="black",shape="box"];22778 -> 22825[label="",style="solid", color="black", weight=3];
22779[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="black",shape="box"];22779 -> 22826[label="",style="solid", color="black", weight=3];
22780[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv101800))) (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="black",shape="box"];22780 -> 22827[label="",style="solid", color="black", weight=3];
22781[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="black",shape="box"];22781 -> 22828[label="",style="solid", color="black", weight=3];
22813[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103900) (Succ vvv10220) (primGEqNatS (Succ vvv103900) (Succ vvv10220)))) vvv1025) (Neg (Succ (Succ vvv10220))) (Pos (primModNatS0 (Succ vvv103900) (Succ vvv10220) (primGEqNatS (Succ vvv103900) (Succ vvv10220)))))",fontsize=16,color="black",shape="box"];22813 -> 22859[label="",style="solid", color="black", weight=3];
22814[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103900) Zero (primGEqNatS (Succ vvv103900) Zero))) vvv1025) (Neg (Succ Zero)) (Pos (primModNatS0 (Succ vvv103900) Zero (primGEqNatS (Succ vvv103900) Zero))))",fontsize=16,color="black",shape="box"];22814 -> 22860[label="",style="solid", color="black", weight=3];
22815[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv10220) (primGEqNatS Zero (Succ vvv10220)))) vvv1025) (Neg (Succ (Succ vvv10220))) (Pos (primModNatS0 Zero (Succ vvv10220) (primGEqNatS Zero (Succ vvv10220)))))",fontsize=16,color="black",shape="box"];22815 -> 22861[label="",style="solid", color="black", weight=3];
22816[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))) vvv1025) (Neg (Succ Zero)) (Pos (primModNatS0 Zero Zero (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];22816 -> 22862[label="",style="solid", color="black", weight=3];
22817[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos (Succ vvv102500))) (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="black",shape="box"];22817 -> 22863[label="",style="solid", color="black", weight=3];
22818[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos Zero) (Pos Zero)) (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="black",shape="box"];22818 -> 22864[label="",style="solid", color="black", weight=3];
22819[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg (Succ vvv102500))) (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="black",shape="box"];22819 -> 22865[label="",style="solid", color="black", weight=3];
22820[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos Zero) (Neg Zero)) (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="black",shape="box"];22820 -> 22866[label="",style="solid", color="black", weight=3];
13774[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg (Succ vvv4550)) True) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal0 (Neg (Succ vvv4550)) True) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13774 -> 14016[label="",style="solid", color="black", weight=3];
21803 -> 21645[label="",style="dashed", color="red", weight=0];
21803[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat vvv9750 vvv9760 == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (primCmpNat vvv9750 vvv9760 == LT))) (Neg (Succ vvv977))))",fontsize=16,color="magenta"];21803 -> 21820[label="",style="dashed", color="magenta", weight=3];
21803 -> 21821[label="",style="dashed", color="magenta", weight=3];
21804[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (GT == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (GT == LT))) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="box"];21804 -> 21822[label="",style="solid", color="black", weight=3];
21805 -> 13207[label="",style="dashed", color="red", weight=0];
21805[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (LT == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (LT == LT))) (Neg (Succ vvv977))))",fontsize=16,color="magenta"];21805 -> 21823[label="",style="dashed", color="magenta", weight=3];
21805 -> 21824[label="",style="dashed", color="magenta", weight=3];
21805 -> 21825[label="",style="dashed", color="magenta", weight=3];
21805 -> 21826[label="",style="dashed", color="magenta", weight=3];
21806[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not (EQ == LT))) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not (EQ == LT))) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="box"];21806 -> 21827[label="",style="solid", color="black", weight=3];
13779[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) otherwise) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal0 (Neg Zero) otherwise) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];13779 -> 14021[label="",style="solid", color="black", weight=3];
13780 -> 12214[label="",style="dashed", color="red", weight=0];
13780[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (Neg Zero) (Neg (Succ vvv451))))",fontsize=16,color="magenta"];13780 -> 14022[label="",style="dashed", color="magenta", weight=3];
13780 -> 14023[label="",style="dashed", color="magenta", weight=3];
13780 -> 14024[label="",style="dashed", color="magenta", weight=3];
26033[label="vvv105300",fontsize=16,color="green",shape="box"];26034[label="vvv10430",fontsize=16,color="green",shape="box"];26035[label="vvv105300",fontsize=16,color="green",shape="box"];26036[label="vvv1041",fontsize=16,color="green",shape="box"];26037[label="Succ vvv10430",fontsize=16,color="green",shape="box"];26038[label="vvv1046",fontsize=16,color="green",shape="box"];26032[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS vvv1197 vvv1198))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS vvv1197 vvv1198))))",fontsize=16,color="burlywood",shape="triangle"];31399[label="vvv1197/Succ vvv11970",fontsize=10,color="white",style="solid",shape="box"];26032 -> 31399[label="",style="solid", color="burlywood", weight=9];
31399 -> 26093[label="",style="solid", color="burlywood", weight=3];
31400[label="vvv1197/Zero",fontsize=10,color="white",style="solid",shape="box"];26032 -> 31400[label="",style="solid", color="burlywood", weight=9];
31400 -> 26094[label="",style="solid", color="burlywood", weight=3];
23400 -> 22992[label="",style="dashed", color="red", weight=0];
23400[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv105300) Zero) (Succ Zero))) vvv1046) (Pos (Succ Zero)) (Neg (primModNatS (primMinusNatS (Succ vvv105300) Zero) (Succ Zero))))",fontsize=16,color="magenta"];23400 -> 23426[label="",style="dashed", color="magenta", weight=3];
23400 -> 23427[label="",style="dashed", color="magenta", weight=3];
23400 -> 23428[label="",style="dashed", color="magenta", weight=3];
23401[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) vvv1046) (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31402[label="vvv1046/Pos vvv10460",fontsize=10,color="white",style="solid",shape="box"];23401 -> 31402[label="",style="solid", color="burlywood", weight=9];
31402 -> 23429[label="",style="solid", color="burlywood", weight=3];
31403[label="vvv1046/Neg vvv10460",fontsize=10,color="white",style="solid",shape="box"];23401 -> 31403[label="",style="solid", color="burlywood", weight=9];
31403 -> 23430[label="",style="solid", color="burlywood", weight=3];
23402 -> 22992[label="",style="dashed", color="red", weight=0];
23402[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv1046) (Pos (Succ Zero)) (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];23402 -> 23431[label="",style="dashed", color="magenta", weight=3];
23402 -> 23432[label="",style="dashed", color="magenta", weight=3];
23402 -> 23433[label="",style="dashed", color="magenta", weight=3];
23403[label="primQuotInt (Pos vvv1041) (gcd0Gcd'0 (Pos (Succ vvv1043)) (Neg Zero))",fontsize=16,color="black",shape="box"];23403 -> 23434[label="",style="solid", color="black", weight=3];
23404 -> 7805[label="",style="dashed", color="red", weight=0];
23404[label="primQuotInt (Pos vvv1041) (Pos (Succ vvv1043))",fontsize=16,color="magenta"];23404 -> 23435[label="",style="dashed", color="magenta", weight=3];
23404 -> 23436[label="",style="dashed", color="magenta", weight=3];
21816[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS (Succ vvv9850) (Succ vvv9860)))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS (Succ vvv9850) (Succ vvv9860)))))",fontsize=16,color="black",shape="box"];21816 -> 21840[label="",style="solid", color="black", weight=3];
21817[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS (Succ vvv9850) Zero))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS (Succ vvv9850) Zero))))",fontsize=16,color="black",shape="box"];21817 -> 21841[label="",style="solid", color="black", weight=3];
21818[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS Zero (Succ vvv9860)))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS Zero (Succ vvv9860)))))",fontsize=16,color="black",shape="box"];21818 -> 21842[label="",style="solid", color="black", weight=3];
21819[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS Zero Zero))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];21819 -> 21843[label="",style="solid", color="black", weight=3];
20957[label="Succ vvv88900",fontsize=16,color="green",shape="box"];20958[label="Zero",fontsize=16,color="green",shape="box"];18617[label="primMinusNatS vvv7510 vvv752",fontsize=16,color="burlywood",shape="triangle"];31406[label="vvv7510/Succ vvv75100",fontsize=10,color="white",style="solid",shape="box"];18617 -> 31406[label="",style="solid", color="burlywood", weight=9];
31406 -> 18686[label="",style="solid", color="burlywood", weight=3];
31407[label="vvv7510/Zero",fontsize=10,color="white",style="solid",shape="box"];18617 -> 31407[label="",style="solid", color="burlywood", weight=9];
31407 -> 18687[label="",style="solid", color="burlywood", weight=3];
20959[label="Succ vvv88900",fontsize=16,color="green",shape="box"];20960[label="Zero",fontsize=16,color="green",shape="box"];20961[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos (Succ vvv87500))) (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];20961 -> 20982[label="",style="solid", color="black", weight=3];
20962[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];20962 -> 20983[label="",style="solid", color="black", weight=3];
20963[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 False (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="triangle"];20963 -> 20984[label="",style="solid", color="black", weight=3];
20964[label="Zero",fontsize=16,color="green",shape="box"];20965[label="Zero",fontsize=16,color="green",shape="box"];20966[label="Zero",fontsize=16,color="green",shape="box"];20967[label="Zero",fontsize=16,color="green",shape="box"];20973 -> 14480[label="",style="dashed", color="red", weight=0];
20973[label="Pos (Succ vvv872) `rem` Pos Zero",fontsize=16,color="magenta"];20973 -> 20985[label="",style="dashed", color="magenta", weight=3];
22782 -> 26183[label="",style="dashed", color="red", weight=0];
22782[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103500) (Succ vvv10080) (primGEqNatS vvv103500 vvv10080))) vvv1011) (Neg (Succ (Succ vvv10080))) (Pos (primModNatS0 (Succ vvv103500) (Succ vvv10080) (primGEqNatS vvv103500 vvv10080))))",fontsize=16,color="magenta"];22782 -> 26184[label="",style="dashed", color="magenta", weight=3];
22782 -> 26185[label="",style="dashed", color="magenta", weight=3];
22782 -> 26186[label="",style="dashed", color="magenta", weight=3];
22782 -> 26187[label="",style="dashed", color="magenta", weight=3];
22782 -> 26188[label="",style="dashed", color="magenta", weight=3];
22782 -> 26189[label="",style="dashed", color="magenta", weight=3];
22783[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103500) Zero True)) vvv1011) (Neg (Succ Zero)) (Pos (primModNatS0 (Succ vvv103500) Zero True)))",fontsize=16,color="black",shape="box"];22783 -> 22831[label="",style="solid", color="black", weight=3];
22784[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv10080) False)) vvv1011) (Neg (Succ (Succ vvv10080))) (Pos (primModNatS0 Zero (Succ vvv10080) False)))",fontsize=16,color="black",shape="box"];22784 -> 22832[label="",style="solid", color="black", weight=3];
22785[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero True)) vvv1011) (Neg (Succ Zero)) (Pos (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];22785 -> 22833[label="",style="solid", color="black", weight=3];
22786[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 False (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];22786 -> 22834[label="",style="solid", color="black", weight=3];
22787[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 True (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];22787 -> 22835[label="",style="solid", color="black", weight=3];
22788 -> 22786[label="",style="dashed", color="red", weight=0];
22788[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 False (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="magenta"];22789 -> 22787[label="",style="dashed", color="red", weight=0];
22789[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 True (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="magenta"];19943[label="Succ vvv838",fontsize=16,color="green",shape="box"];19944 -> 18617[label="",style="dashed", color="red", weight=0];
19944[label="primMinusNatS (Succ vvv837) (Succ vvv838)",fontsize=16,color="magenta"];19944 -> 19980[label="",style="dashed", color="magenta", weight=3];
19944 -> 19981[label="",style="dashed", color="magenta", weight=3];
23962[label="vvv807",fontsize=16,color="green",shape="box"];23963[label="vvv806",fontsize=16,color="green",shape="box"];23964[label="Succ vvv803",fontsize=16,color="green",shape="box"];23965[label="Succ vvv803",fontsize=16,color="green",shape="box"];23966[label="vvv802",fontsize=16,color="green",shape="box"];13810[label="vvv477",fontsize=16,color="green",shape="box"];13811[label="vvv422",fontsize=16,color="green",shape="box"];13812[label="Neg (Succ vvv423)",fontsize=16,color="green",shape="box"];24123 -> 26257[label="",style="dashed", color="red", weight=0];
24123[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv108400) (Succ vvv10700) (primGEqNatS vvv108400 vvv10700))) vvv1073) (Neg (Succ (Succ vvv10700))) (Neg (primModNatS0 (Succ vvv108400) (Succ vvv10700) (primGEqNatS vvv108400 vvv10700))))",fontsize=16,color="magenta"];24123 -> 26258[label="",style="dashed", color="magenta", weight=3];
24123 -> 26259[label="",style="dashed", color="magenta", weight=3];
24123 -> 26260[label="",style="dashed", color="magenta", weight=3];
24123 -> 26261[label="",style="dashed", color="magenta", weight=3];
24123 -> 26262[label="",style="dashed", color="magenta", weight=3];
24123 -> 26263[label="",style="dashed", color="magenta", weight=3];
24124[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv108400) Zero True)) vvv1073) (Neg (Succ Zero)) (Neg (primModNatS0 (Succ vvv108400) Zero True)))",fontsize=16,color="black",shape="box"];24124 -> 24185[label="",style="solid", color="black", weight=3];
24125[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv10700) False)) vvv1073) (Neg (Succ (Succ vvv10700))) (Neg (primModNatS0 Zero (Succ vvv10700) False)))",fontsize=16,color="black",shape="box"];24125 -> 24186[label="",style="solid", color="black", weight=3];
24126[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero True)) vvv1073) (Neg (Succ Zero)) (Neg (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];24126 -> 24187[label="",style="solid", color="black", weight=3];
24127[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 False (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];24127 -> 24188[label="",style="solid", color="black", weight=3];
24128[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 True (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];24128 -> 24189[label="",style="solid", color="black", weight=3];
24129 -> 24127[label="",style="dashed", color="red", weight=0];
24129[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 False (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="magenta"];24130 -> 24128[label="",style="dashed", color="red", weight=0];
24130[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 True (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="magenta"];19904[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos (Succ vvv814)) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (`negate` Pos (Succ vvv814)) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19904 -> 19924[label="",style="solid", color="black", weight=3];
13880 -> 12214[label="",style="dashed", color="red", weight=0];
13880[label="primQuotInt (Pos vvv415) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg (Succ vvv416))) vvv481) (Neg (Succ vvv416)) (primRemInt (Neg Zero) (Neg (Succ vvv416))))",fontsize=16,color="magenta"];13880 -> 14091[label="",style="dashed", color="magenta", weight=3];
13880 -> 14092[label="",style="dashed", color="magenta", weight=3];
13880 -> 14093[label="",style="dashed", color="magenta", weight=3];
27315 -> 28651[label="",style="dashed", color="red", weight=0];
27315[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv125600) (Succ vvv12510) (primGEqNatS vvv125600 vvv12510))) vvv1254) (Neg (Succ (Succ vvv12510))) (Neg (primModNatS0 (Succ vvv125600) (Succ vvv12510) (primGEqNatS vvv125600 vvv12510))))",fontsize=16,color="magenta"];27315 -> 28652[label="",style="dashed", color="magenta", weight=3];
27315 -> 28653[label="",style="dashed", color="magenta", weight=3];
27315 -> 28654[label="",style="dashed", color="magenta", weight=3];
27315 -> 28655[label="",style="dashed", color="magenta", weight=3];
27315 -> 28656[label="",style="dashed", color="magenta", weight=3];
27315 -> 28657[label="",style="dashed", color="magenta", weight=3];
27316[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv125600) Zero True)) vvv1254) (Neg (Succ Zero)) (Neg (primModNatS0 (Succ vvv125600) Zero True)))",fontsize=16,color="black",shape="box"];27316 -> 27355[label="",style="solid", color="black", weight=3];
27317[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero (Succ vvv12510) False)) vvv1254) (Neg (Succ (Succ vvv12510))) (Neg (primModNatS0 Zero (Succ vvv12510) False)))",fontsize=16,color="black",shape="box"];27317 -> 27356[label="",style="solid", color="black", weight=3];
27318[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 Zero Zero True)) vvv1254) (Neg (Succ Zero)) (Neg (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];27318 -> 27357[label="",style="solid", color="black", weight=3];
27319[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 False (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];27319 -> 27358[label="",style="solid", color="black", weight=3];
27320[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 True (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="black",shape="triangle"];27320 -> 27359[label="",style="solid", color="black", weight=3];
27321 -> 27319[label="",style="dashed", color="red", weight=0];
27321[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 False (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="magenta"];27322 -> 27320[label="",style="dashed", color="red", weight=0];
27322[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 True (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="magenta"];19923[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos (Succ vvv821)) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (`negate` Pos (Succ vvv821)) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19923 -> 19946[label="",style="solid", color="black", weight=3];
13228 -> 12199[label="",style="dashed", color="red", weight=0];
13228[label="primQuotInt (Neg vvv51) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Pos (Succ vvv520))) vvv303) (Pos (Succ vvv520)) (primRemInt (Neg Zero) (Pos (Succ vvv520))))",fontsize=16,color="magenta"];13228 -> 13662[label="",style="dashed", color="magenta", weight=3];
13228 -> 13663[label="",style="dashed", color="magenta", weight=3];
19945[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Pos (Succ vvv828)) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (`negate` Pos (Succ vvv828)) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19945 -> 19982[label="",style="solid", color="black", weight=3];
13958 -> 12199[label="",style="dashed", color="red", weight=0];
13958[label="primQuotInt (Neg vvv436) (gcd0Gcd'1 (primEqInt (primRemInt (Neg Zero) (Neg (Succ vvv437))) vvv479) (Neg (Succ vvv437)) (primRemInt (Neg Zero) (Neg (Succ vvv437))))",fontsize=16,color="magenta"];13958 -> 14138[label="",style="dashed", color="magenta", weight=3];
13958 -> 14139[label="",style="dashed", color="magenta", weight=3];
13958 -> 14140[label="",style="dashed", color="magenta", weight=3];
25975[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS (Succ vvv11890) vvv1190))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS (Succ vvv11890) vvv1190))))",fontsize=16,color="burlywood",shape="box"];31422[label="vvv1190/Succ vvv11900",fontsize=10,color="white",style="solid",shape="box"];25975 -> 31422[label="",style="solid", color="burlywood", weight=9];
31422 -> 26022[label="",style="solid", color="burlywood", weight=3];
31423[label="vvv1190/Zero",fontsize=10,color="white",style="solid",shape="box"];25975 -> 31423[label="",style="solid", color="burlywood", weight=9];
31423 -> 26023[label="",style="solid", color="burlywood", weight=3];
25976[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS Zero vvv1190))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS Zero vvv1190))))",fontsize=16,color="burlywood",shape="box"];31424[label="vvv1190/Succ vvv11900",fontsize=10,color="white",style="solid",shape="box"];25976 -> 31424[label="",style="solid", color="burlywood", weight=9];
31424 -> 26024[label="",style="solid", color="burlywood", weight=3];
31425[label="vvv1190/Zero",fontsize=10,color="white",style="solid",shape="box"];25976 -> 31425[label="",style="solid", color="burlywood", weight=9];
31425 -> 26025[label="",style="solid", color="burlywood", weight=3];
23153 -> 18617[label="",style="dashed", color="red", weight=0];
23153[label="primMinusNatS (Succ vvv104800) Zero",fontsize=16,color="magenta"];23153 -> 23234[label="",style="dashed", color="magenta", weight=3];
23153 -> 23235[label="",style="dashed", color="magenta", weight=3];
23154 -> 18617[label="",style="dashed", color="red", weight=0];
23154[label="primMinusNatS (Succ vvv104800) Zero",fontsize=16,color="magenta"];23154 -> 23236[label="",style="dashed", color="magenta", weight=3];
23154 -> 23237[label="",style="dashed", color="magenta", weight=3];
23155[label="Zero",fontsize=16,color="green",shape="box"];23156[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Pos vvv10330)) (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23156 -> 23238[label="",style="solid", color="black", weight=3];
23157[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg vvv10330)) (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31428[label="vvv10330/Succ vvv103300",fontsize=10,color="white",style="solid",shape="box"];23157 -> 31428[label="",style="solid", color="burlywood", weight=9];
31428 -> 23239[label="",style="solid", color="burlywood", weight=3];
31429[label="vvv10330/Zero",fontsize=10,color="white",style="solid",shape="box"];23157 -> 31429[label="",style="solid", color="burlywood", weight=9];
31429 -> 23240[label="",style="solid", color="burlywood", weight=3];
23158 -> 18617[label="",style="dashed", color="red", weight=0];
23158[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];23158 -> 23241[label="",style="dashed", color="magenta", weight=3];
23158 -> 23242[label="",style="dashed", color="magenta", weight=3];
23159 -> 18617[label="",style="dashed", color="red", weight=0];
23159[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];23159 -> 23243[label="",style="dashed", color="magenta", weight=3];
23159 -> 23244[label="",style="dashed", color="magenta", weight=3];
23160[label="Zero",fontsize=16,color="green",shape="box"];23161 -> 24354[label="",style="dashed", color="red", weight=0];
23161[label="primQuotInt (Neg vvv1028) (gcd0Gcd' (Neg Zero) (Pos (Succ vvv1030) `rem` Neg Zero))",fontsize=16,color="magenta"];23161 -> 24359[label="",style="dashed", color="magenta", weight=3];
23161 -> 24360[label="",style="dashed", color="magenta", weight=3];
23162[label="vvv1028",fontsize=16,color="green",shape="box"];23163[label="vvv1030",fontsize=16,color="green",shape="box"];22821 -> 26335[label="",style="dashed", color="red", weight=0];
22821[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103700) (Succ vvv10150) (primGEqNatS vvv103700 vvv10150))) vvv1018) (Pos (Succ (Succ vvv10150))) (Pos (primModNatS0 (Succ vvv103700) (Succ vvv10150) (primGEqNatS vvv103700 vvv10150))))",fontsize=16,color="magenta"];22821 -> 26336[label="",style="dashed", color="magenta", weight=3];
22821 -> 26337[label="",style="dashed", color="magenta", weight=3];
22821 -> 26338[label="",style="dashed", color="magenta", weight=3];
22821 -> 26339[label="",style="dashed", color="magenta", weight=3];
22821 -> 26340[label="",style="dashed", color="magenta", weight=3];
22821 -> 26341[label="",style="dashed", color="magenta", weight=3];
22822[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103700) Zero True)) vvv1018) (Pos (Succ Zero)) (Pos (primModNatS0 (Succ vvv103700) Zero True)))",fontsize=16,color="black",shape="box"];22822 -> 22869[label="",style="solid", color="black", weight=3];
22823[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv10150) False)) vvv1018) (Pos (Succ (Succ vvv10150))) (Pos (primModNatS0 Zero (Succ vvv10150) False)))",fontsize=16,color="black",shape="box"];22823 -> 22870[label="",style="solid", color="black", weight=3];
22824[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero True)) vvv1018) (Pos (Succ Zero)) (Pos (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];22824 -> 22871[label="",style="solid", color="black", weight=3];
22825[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 False (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];22825 -> 22872[label="",style="solid", color="black", weight=3];
22826[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 True (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];22826 -> 22873[label="",style="solid", color="black", weight=3];
22827 -> 22825[label="",style="dashed", color="red", weight=0];
22827[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 False (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="magenta"];22828 -> 22826[label="",style="dashed", color="red", weight=0];
22828[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 True (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="magenta"];22859 -> 26416[label="",style="dashed", color="red", weight=0];
22859[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103900) (Succ vvv10220) (primGEqNatS vvv103900 vvv10220))) vvv1025) (Neg (Succ (Succ vvv10220))) (Pos (primModNatS0 (Succ vvv103900) (Succ vvv10220) (primGEqNatS vvv103900 vvv10220))))",fontsize=16,color="magenta"];22859 -> 26417[label="",style="dashed", color="magenta", weight=3];
22859 -> 26418[label="",style="dashed", color="magenta", weight=3];
22859 -> 26419[label="",style="dashed", color="magenta", weight=3];
22859 -> 26420[label="",style="dashed", color="magenta", weight=3];
22859 -> 26421[label="",style="dashed", color="magenta", weight=3];
22859 -> 26422[label="",style="dashed", color="magenta", weight=3];
22860[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv103900) Zero True)) vvv1025) (Neg (Succ Zero)) (Pos (primModNatS0 (Succ vvv103900) Zero True)))",fontsize=16,color="black",shape="box"];22860 -> 22955[label="",style="solid", color="black", weight=3];
22861[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero (Succ vvv10220) False)) vvv1025) (Neg (Succ (Succ vvv10220))) (Pos (primModNatS0 Zero (Succ vvv10220) False)))",fontsize=16,color="black",shape="box"];22861 -> 22956[label="",style="solid", color="black", weight=3];
22862[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 Zero Zero True)) vvv1025) (Neg (Succ Zero)) (Pos (primModNatS0 Zero Zero True)))",fontsize=16,color="black",shape="box"];22862 -> 22957[label="",style="solid", color="black", weight=3];
22863[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 False (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];22863 -> 22958[label="",style="solid", color="black", weight=3];
22864[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 True (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="black",shape="triangle"];22864 -> 22959[label="",style="solid", color="black", weight=3];
22865 -> 22863[label="",style="dashed", color="red", weight=0];
22865[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 False (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="magenta"];22866 -> 22864[label="",style="dashed", color="red", weight=0];
22866[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 True (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="magenta"];14016[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg (Succ vvv4550)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (`negate` Neg (Succ vvv4550)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];14016 -> 14143[label="",style="solid", color="black", weight=3];
21820[label="vvv9750",fontsize=16,color="green",shape="box"];21821[label="vvv9760",fontsize=16,color="green",shape="box"];21822[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not False)) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not False)) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="triangle"];21822 -> 21844[label="",style="solid", color="black", weight=3];
21823[label="vvv978",fontsize=16,color="green",shape="box"];21824[label="vvv973",fontsize=16,color="green",shape="box"];21825[label="vvv977",fontsize=16,color="green",shape="box"];21826[label="vvv974",fontsize=16,color="green",shape="box"];21827 -> 21822[label="",style="dashed", color="red", weight=0];
21827[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) (not False)) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) (not False)) (Neg (Succ vvv977))))",fontsize=16,color="magenta"];14021[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (absReal0 (Neg Zero) True) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (absReal0 (Neg Zero) True) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];14021 -> 14149[label="",style="solid", color="black", weight=3];
14022[label="vvv450",fontsize=16,color="green",shape="box"];14023[label="vvv490",fontsize=16,color="green",shape="box"];14024[label="Neg (Succ vvv451)",fontsize=16,color="green",shape="box"];26093[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS (Succ vvv11970) vvv1198))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS (Succ vvv11970) vvv1198))))",fontsize=16,color="burlywood",shape="box"];31440[label="vvv1198/Succ vvv11980",fontsize=10,color="white",style="solid",shape="box"];26093 -> 31440[label="",style="solid", color="burlywood", weight=9];
31440 -> 26170[label="",style="solid", color="burlywood", weight=3];
31441[label="vvv1198/Zero",fontsize=10,color="white",style="solid",shape="box"];26093 -> 31441[label="",style="solid", color="burlywood", weight=9];
31441 -> 26171[label="",style="solid", color="burlywood", weight=3];
26094[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS Zero vvv1198))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS Zero vvv1198))))",fontsize=16,color="burlywood",shape="box"];31442[label="vvv1198/Succ vvv11980",fontsize=10,color="white",style="solid",shape="box"];26094 -> 31442[label="",style="solid", color="burlywood", weight=9];
31442 -> 26172[label="",style="solid", color="burlywood", weight=3];
31443[label="vvv1198/Zero",fontsize=10,color="white",style="solid",shape="box"];26094 -> 31443[label="",style="solid", color="burlywood", weight=9];
31443 -> 26173[label="",style="solid", color="burlywood", weight=3];
23426 -> 18617[label="",style="dashed", color="red", weight=0];
23426[label="primMinusNatS (Succ vvv105300) Zero",fontsize=16,color="magenta"];23426 -> 23499[label="",style="dashed", color="magenta", weight=3];
23426 -> 23500[label="",style="dashed", color="magenta", weight=3];
23427[label="Zero",fontsize=16,color="green",shape="box"];23428 -> 18617[label="",style="dashed", color="red", weight=0];
23428[label="primMinusNatS (Succ vvv105300) Zero",fontsize=16,color="magenta"];23428 -> 23501[label="",style="dashed", color="magenta", weight=3];
23428 -> 23502[label="",style="dashed", color="magenta", weight=3];
23429[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Pos vvv10460)) (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23429 -> 23503[label="",style="solid", color="black", weight=3];
23430[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg vvv10460)) (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31446[label="vvv10460/Succ vvv104600",fontsize=10,color="white",style="solid",shape="box"];23430 -> 31446[label="",style="solid", color="burlywood", weight=9];
31446 -> 23504[label="",style="solid", color="burlywood", weight=3];
31447[label="vvv10460/Zero",fontsize=10,color="white",style="solid",shape="box"];23430 -> 31447[label="",style="solid", color="burlywood", weight=9];
31447 -> 23505[label="",style="solid", color="burlywood", weight=3];
23431 -> 18617[label="",style="dashed", color="red", weight=0];
23431[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];23431 -> 23506[label="",style="dashed", color="magenta", weight=3];
23431 -> 23507[label="",style="dashed", color="magenta", weight=3];
23432[label="Zero",fontsize=16,color="green",shape="box"];23433 -> 18617[label="",style="dashed", color="red", weight=0];
23433[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];23433 -> 23508[label="",style="dashed", color="magenta", weight=3];
23433 -> 23509[label="",style="dashed", color="magenta", weight=3];
23434 -> 27453[label="",style="dashed", color="red", weight=0];
23434[label="primQuotInt (Pos vvv1041) (gcd0Gcd' (Neg Zero) (Pos (Succ vvv1043) `rem` Neg Zero))",fontsize=16,color="magenta"];23434 -> 27462[label="",style="dashed", color="magenta", weight=3];
23434 -> 27463[label="",style="dashed", color="magenta", weight=3];
23435[label="vvv1043",fontsize=16,color="green",shape="box"];23436[label="vvv1041",fontsize=16,color="green",shape="box"];21840 -> 21740[label="",style="dashed", color="red", weight=0];
21840[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS vvv9850 vvv9860))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 (primGEqNatS vvv9850 vvv9860))))",fontsize=16,color="magenta"];21840 -> 21989[label="",style="dashed", color="magenta", weight=3];
21840 -> 21990[label="",style="dashed", color="magenta", weight=3];
21841[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 True)) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 True)))",fontsize=16,color="black",shape="triangle"];21841 -> 21991[label="",style="solid", color="black", weight=3];
21842[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 False)) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 False)))",fontsize=16,color="black",shape="box"];21842 -> 21992[label="",style="solid", color="black", weight=3];
21843 -> 21841[label="",style="dashed", color="red", weight=0];
21843[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv983) vvv984 True)) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS0 (Succ vvv983) vvv984 True)))",fontsize=16,color="magenta"];18686[label="primMinusNatS (Succ vvv75100) vvv752",fontsize=16,color="burlywood",shape="box"];31453[label="vvv752/Succ vvv7520",fontsize=10,color="white",style="solid",shape="box"];18686 -> 31453[label="",style="solid", color="burlywood", weight=9];
31453 -> 18817[label="",style="solid", color="burlywood", weight=3];
31454[label="vvv752/Zero",fontsize=10,color="white",style="solid",shape="box"];18686 -> 31454[label="",style="solid", color="burlywood", weight=9];
31454 -> 18818[label="",style="solid", color="burlywood", weight=3];
18687[label="primMinusNatS Zero vvv752",fontsize=16,color="burlywood",shape="box"];31455[label="vvv752/Succ vvv7520",fontsize=10,color="white",style="solid",shape="box"];18687 -> 31455[label="",style="solid", color="burlywood", weight=9];
31455 -> 18819[label="",style="solid", color="burlywood", weight=3];
31456[label="vvv752/Zero",fontsize=10,color="white",style="solid",shape="box"];18687 -> 31456[label="",style="solid", color="burlywood", weight=9];
31456 -> 18820[label="",style="solid", color="burlywood", weight=3];
20982 -> 26595[label="",style="dashed", color="red", weight=0];
20982[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (primEqNat Zero vvv87500) (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];20982 -> 26596[label="",style="dashed", color="magenta", weight=3];
20982 -> 26597[label="",style="dashed", color="magenta", weight=3];
20982 -> 26598[label="",style="dashed", color="magenta", weight=3];
20982 -> 26599[label="",style="dashed", color="magenta", weight=3];
20982 -> 26600[label="",style="dashed", color="magenta", weight=3];
20983 -> 20963[label="",style="dashed", color="red", weight=0];
20983[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 False (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];20984[label="primQuotInt (Pos vvv870) (gcd0Gcd'0 (Pos (Succ (Succ vvv8720))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];20984 -> 21020[label="",style="solid", color="black", weight=3];
20985[label="vvv872",fontsize=16,color="green",shape="box"];14480[label="Pos (Succ vvv1160) `rem` Pos Zero",fontsize=16,color="black",shape="triangle"];14480 -> 14695[label="",style="solid", color="black", weight=3];
26184[label="Succ vvv10080",fontsize=16,color="green",shape="box"];26185[label="vvv1006",fontsize=16,color="green",shape="box"];26186[label="vvv1011",fontsize=16,color="green",shape="box"];26187[label="vvv10080",fontsize=16,color="green",shape="box"];26188[label="vvv103500",fontsize=16,color="green",shape="box"];26189[label="vvv103500",fontsize=16,color="green",shape="box"];26183[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS vvv1208 vvv1209))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS vvv1208 vvv1209))))",fontsize=16,color="burlywood",shape="triangle"];31459[label="vvv1208/Succ vvv12080",fontsize=10,color="white",style="solid",shape="box"];26183 -> 31459[label="",style="solid", color="burlywood", weight=9];
31459 -> 26244[label="",style="solid", color="burlywood", weight=3];
31460[label="vvv1208/Zero",fontsize=10,color="white",style="solid",shape="box"];26183 -> 31460[label="",style="solid", color="burlywood", weight=9];
31460 -> 26245[label="",style="solid", color="burlywood", weight=3];
22831 -> 22527[label="",style="dashed", color="red", weight=0];
22831[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv103500) Zero) (Succ Zero))) vvv1011) (Neg (Succ Zero)) (Pos (primModNatS (primMinusNatS (Succ vvv103500) Zero) (Succ Zero))))",fontsize=16,color="magenta"];22831 -> 22878[label="",style="dashed", color="magenta", weight=3];
22831 -> 22879[label="",style="dashed", color="magenta", weight=3];
22831 -> 22880[label="",style="dashed", color="magenta", weight=3];
22832[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) vvv1011) (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31462[label="vvv1011/Pos vvv10110",fontsize=10,color="white",style="solid",shape="box"];22832 -> 31462[label="",style="solid", color="burlywood", weight=9];
31462 -> 22881[label="",style="solid", color="burlywood", weight=3];
31463[label="vvv1011/Neg vvv10110",fontsize=10,color="white",style="solid",shape="box"];22832 -> 31463[label="",style="solid", color="burlywood", weight=9];
31463 -> 22882[label="",style="solid", color="burlywood", weight=3];
22833 -> 22527[label="",style="dashed", color="red", weight=0];
22833[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv1011) (Neg (Succ Zero)) (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];22833 -> 22883[label="",style="dashed", color="magenta", weight=3];
22833 -> 22884[label="",style="dashed", color="magenta", weight=3];
22833 -> 22885[label="",style="dashed", color="magenta", weight=3];
22834[label="primQuotInt (Pos vvv1006) (gcd0Gcd'0 (Neg (Succ vvv1008)) (Pos Zero))",fontsize=16,color="black",shape="box"];22834 -> 22886[label="",style="solid", color="black", weight=3];
22835 -> 13583[label="",style="dashed", color="red", weight=0];
22835[label="primQuotInt (Pos vvv1006) (Neg (Succ vvv1008))",fontsize=16,color="magenta"];22835 -> 22887[label="",style="dashed", color="magenta", weight=3];
22835 -> 22888[label="",style="dashed", color="magenta", weight=3];
19980[label="Succ vvv837",fontsize=16,color="green",shape="box"];19981[label="Succ vvv838",fontsize=16,color="green",shape="box"];26258[label="vvv1073",fontsize=16,color="green",shape="box"];26259[label="Succ vvv10700",fontsize=16,color="green",shape="box"];26260[label="vvv108400",fontsize=16,color="green",shape="box"];26261[label="vvv10700",fontsize=16,color="green",shape="box"];26262[label="vvv108400",fontsize=16,color="green",shape="box"];26263[label="vvv1068",fontsize=16,color="green",shape="box"];26257[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS vvv1215 vvv1216))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS vvv1215 vvv1216))))",fontsize=16,color="burlywood",shape="triangle"];31466[label="vvv1215/Succ vvv12150",fontsize=10,color="white",style="solid",shape="box"];26257 -> 31466[label="",style="solid", color="burlywood", weight=9];
31466 -> 26318[label="",style="solid", color="burlywood", weight=3];
31467[label="vvv1215/Zero",fontsize=10,color="white",style="solid",shape="box"];26257 -> 31467[label="",style="solid", color="burlywood", weight=9];
31467 -> 26319[label="",style="solid", color="burlywood", weight=3];
24185 -> 23956[label="",style="dashed", color="red", weight=0];
24185[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv108400) Zero) (Succ Zero))) vvv1073) (Neg (Succ Zero)) (Neg (primModNatS (primMinusNatS (Succ vvv108400) Zero) (Succ Zero))))",fontsize=16,color="magenta"];24185 -> 24261[label="",style="dashed", color="magenta", weight=3];
24185 -> 24262[label="",style="dashed", color="magenta", weight=3];
24185 -> 24263[label="",style="dashed", color="magenta", weight=3];
24186[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) vvv1073) (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31469[label="vvv1073/Pos vvv10730",fontsize=10,color="white",style="solid",shape="box"];24186 -> 31469[label="",style="solid", color="burlywood", weight=9];
31469 -> 24264[label="",style="solid", color="burlywood", weight=3];
31470[label="vvv1073/Neg vvv10730",fontsize=10,color="white",style="solid",shape="box"];24186 -> 31470[label="",style="solid", color="burlywood", weight=9];
31470 -> 24265[label="",style="solid", color="burlywood", weight=3];
24187 -> 23956[label="",style="dashed", color="red", weight=0];
24187[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv1073) (Neg (Succ Zero)) (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];24187 -> 24266[label="",style="dashed", color="magenta", weight=3];
24187 -> 24267[label="",style="dashed", color="magenta", weight=3];
24187 -> 24268[label="",style="dashed", color="magenta", weight=3];
24188[label="primQuotInt (Neg vvv1068) (gcd0Gcd'0 (Neg (Succ vvv1070)) (Neg Zero))",fontsize=16,color="black",shape="box"];24188 -> 24269[label="",style="solid", color="black", weight=3];
24189 -> 13605[label="",style="dashed", color="red", weight=0];
24189[label="primQuotInt (Neg vvv1068) (Neg (Succ vvv1070))",fontsize=16,color="magenta"];24189 -> 24270[label="",style="dashed", color="magenta", weight=3];
24189 -> 24271[label="",style="dashed", color="magenta", weight=3];
19924[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos (Succ vvv814))) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (primNegInt (Pos (Succ vvv814))) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="box"];19924 -> 19947[label="",style="solid", color="black", weight=3];
14091[label="vvv415",fontsize=16,color="green",shape="box"];14092[label="vvv481",fontsize=16,color="green",shape="box"];14093[label="Neg (Succ vvv416)",fontsize=16,color="green",shape="box"];28652[label="vvv1254",fontsize=16,color="green",shape="box"];28653[label="vvv125600",fontsize=16,color="green",shape="box"];28654[label="Succ vvv12510",fontsize=16,color="green",shape="box"];28655[label="vvv125600",fontsize=16,color="green",shape="box"];28656[label="vvv1249",fontsize=16,color="green",shape="box"];28657[label="vvv12510",fontsize=16,color="green",shape="box"];28651[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS vvv1325 vvv1326))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS vvv1325 vvv1326))))",fontsize=16,color="burlywood",shape="triangle"];31473[label="vvv1325/Succ vvv13250",fontsize=10,color="white",style="solid",shape="box"];28651 -> 31473[label="",style="solid", color="burlywood", weight=9];
31473 -> 28712[label="",style="solid", color="burlywood", weight=3];
31474[label="vvv1325/Zero",fontsize=10,color="white",style="solid",shape="box"];28651 -> 31474[label="",style="solid", color="burlywood", weight=9];
31474 -> 28713[label="",style="solid", color="burlywood", weight=3];
27355 -> 27145[label="",style="dashed", color="red", weight=0];
27355[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv125600) Zero) (Succ Zero))) vvv1254) (Neg (Succ Zero)) (Neg (primModNatS (primMinusNatS (Succ vvv125600) Zero) (Succ Zero))))",fontsize=16,color="magenta"];27355 -> 27394[label="",style="dashed", color="magenta", weight=3];
27355 -> 27395[label="",style="dashed", color="magenta", weight=3];
27355 -> 27396[label="",style="dashed", color="magenta", weight=3];
27356[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) vvv1254) (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31476[label="vvv1254/Pos vvv12540",fontsize=10,color="white",style="solid",shape="box"];27356 -> 31476[label="",style="solid", color="burlywood", weight=9];
31476 -> 27397[label="",style="solid", color="burlywood", weight=3];
31477[label="vvv1254/Neg vvv12540",fontsize=10,color="white",style="solid",shape="box"];27356 -> 31477[label="",style="solid", color="burlywood", weight=9];
31477 -> 27398[label="",style="solid", color="burlywood", weight=3];
27357 -> 27145[label="",style="dashed", color="red", weight=0];
27357[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv1254) (Neg (Succ Zero)) (Neg (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];27357 -> 27399[label="",style="dashed", color="magenta", weight=3];
27357 -> 27400[label="",style="dashed", color="magenta", weight=3];
27357 -> 27401[label="",style="dashed", color="magenta", weight=3];
27358[label="primQuotInt (Pos vvv1249) (gcd0Gcd'0 (Neg (Succ vvv1251)) (Neg Zero))",fontsize=16,color="black",shape="box"];27358 -> 27402[label="",style="solid", color="black", weight=3];
27359 -> 13583[label="",style="dashed", color="red", weight=0];
27359[label="primQuotInt (Pos vvv1249) (Neg (Succ vvv1251))",fontsize=16,color="magenta"];27359 -> 27403[label="",style="dashed", color="magenta", weight=3];
27359 -> 27404[label="",style="dashed", color="magenta", weight=3];
19946[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos (Succ vvv821))) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (primNegInt (Pos (Succ vvv821))) (Pos (Succ vvv824))))",fontsize=16,color="black",shape="box"];19946 -> 19983[label="",style="solid", color="black", weight=3];
13662[label="Pos (Succ vvv520)",fontsize=16,color="green",shape="box"];13663[label="vvv303",fontsize=16,color="green",shape="box"];19982[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Pos (Succ vvv828))) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (primNegInt (Pos (Succ vvv828))) (Neg (Succ vvv831))))",fontsize=16,color="black",shape="box"];19982 -> 19994[label="",style="solid", color="black", weight=3];
14138[label="Neg (Succ vvv437)",fontsize=16,color="green",shape="box"];14139[label="vvv479",fontsize=16,color="green",shape="box"];14140[label="vvv436",fontsize=16,color="green",shape="box"];26022[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS (Succ vvv11890) (Succ vvv11900)))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS (Succ vvv11890) (Succ vvv11900)))))",fontsize=16,color="black",shape="box"];26022 -> 26095[label="",style="solid", color="black", weight=3];
26023[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS (Succ vvv11890) Zero))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS (Succ vvv11890) Zero))))",fontsize=16,color="black",shape="box"];26023 -> 26096[label="",style="solid", color="black", weight=3];
26024[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS Zero (Succ vvv11900)))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS Zero (Succ vvv11900)))))",fontsize=16,color="black",shape="box"];26024 -> 26097[label="",style="solid", color="black", weight=3];
26025[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS Zero Zero))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];26025 -> 26098[label="",style="solid", color="black", weight=3];
23234[label="Succ vvv104800",fontsize=16,color="green",shape="box"];23235[label="Zero",fontsize=16,color="green",shape="box"];23236[label="Succ vvv104800",fontsize=16,color="green",shape="box"];23237[label="Zero",fontsize=16,color="green",shape="box"];23238[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 False (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="triangle"];23238 -> 23364[label="",style="solid", color="black", weight=3];
23239[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg (Succ vvv103300))) (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23239 -> 23365[label="",style="solid", color="black", weight=3];
23240[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg Zero)) (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23240 -> 23366[label="",style="solid", color="black", weight=3];
23241[label="Zero",fontsize=16,color="green",shape="box"];23242[label="Zero",fontsize=16,color="green",shape="box"];23243[label="Zero",fontsize=16,color="green",shape="box"];23244[label="Zero",fontsize=16,color="green",shape="box"];24359 -> 23521[label="",style="dashed", color="red", weight=0];
24359[label="Pos (Succ vvv1030) `rem` Neg Zero",fontsize=16,color="magenta"];24360[label="vvv1028",fontsize=16,color="green",shape="box"];26336[label="vvv1013",fontsize=16,color="green",shape="box"];26337[label="vvv103700",fontsize=16,color="green",shape="box"];26338[label="vvv1018",fontsize=16,color="green",shape="box"];26339[label="Succ vvv10150",fontsize=16,color="green",shape="box"];26340[label="vvv103700",fontsize=16,color="green",shape="box"];26341[label="vvv10150",fontsize=16,color="green",shape="box"];26335[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS vvv1222 vvv1223))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS vvv1222 vvv1223))))",fontsize=16,color="burlywood",shape="triangle"];31481[label="vvv1222/Succ vvv12220",fontsize=10,color="white",style="solid",shape="box"];26335 -> 31481[label="",style="solid", color="burlywood", weight=9];
31481 -> 26396[label="",style="solid", color="burlywood", weight=3];
31482[label="vvv1222/Zero",fontsize=10,color="white",style="solid",shape="box"];26335 -> 31482[label="",style="solid", color="burlywood", weight=9];
31482 -> 26397[label="",style="solid", color="burlywood", weight=3];
22869 -> 22565[label="",style="dashed", color="red", weight=0];
22869[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv103700) Zero) (Succ Zero))) vvv1018) (Pos (Succ Zero)) (Pos (primModNatS (primMinusNatS (Succ vvv103700) Zero) (Succ Zero))))",fontsize=16,color="magenta"];22869 -> 22964[label="",style="dashed", color="magenta", weight=3];
22869 -> 22965[label="",style="dashed", color="magenta", weight=3];
22869 -> 22966[label="",style="dashed", color="magenta", weight=3];
22870[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) vvv1018) (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31484[label="vvv1018/Pos vvv10180",fontsize=10,color="white",style="solid",shape="box"];22870 -> 31484[label="",style="solid", color="burlywood", weight=9];
31484 -> 22967[label="",style="solid", color="burlywood", weight=3];
31485[label="vvv1018/Neg vvv10180",fontsize=10,color="white",style="solid",shape="box"];22870 -> 31485[label="",style="solid", color="burlywood", weight=9];
31485 -> 22968[label="",style="solid", color="burlywood", weight=3];
22871 -> 22565[label="",style="dashed", color="red", weight=0];
22871[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv1018) (Pos (Succ Zero)) (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];22871 -> 22969[label="",style="dashed", color="magenta", weight=3];
22871 -> 22970[label="",style="dashed", color="magenta", weight=3];
22871 -> 22971[label="",style="dashed", color="magenta", weight=3];
22872[label="primQuotInt (Neg vvv1013) (gcd0Gcd'0 (Pos (Succ vvv1015)) (Pos Zero))",fontsize=16,color="black",shape="box"];22872 -> 22972[label="",style="solid", color="black", weight=3];
22873 -> 7966[label="",style="dashed", color="red", weight=0];
22873[label="primQuotInt (Neg vvv1013) (Pos (Succ vvv1015))",fontsize=16,color="magenta"];22873 -> 22973[label="",style="dashed", color="magenta", weight=3];
22873 -> 22974[label="",style="dashed", color="magenta", weight=3];
26417[label="vvv1025",fontsize=16,color="green",shape="box"];26418[label="vvv1020",fontsize=16,color="green",shape="box"];26419[label="vvv103900",fontsize=16,color="green",shape="box"];26420[label="vvv10220",fontsize=16,color="green",shape="box"];26421[label="Succ vvv10220",fontsize=16,color="green",shape="box"];26422[label="vvv103900",fontsize=16,color="green",shape="box"];26416[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS vvv1229 vvv1230))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS vvv1229 vvv1230))))",fontsize=16,color="burlywood",shape="triangle"];31488[label="vvv1229/Succ vvv12290",fontsize=10,color="white",style="solid",shape="box"];26416 -> 31488[label="",style="solid", color="burlywood", weight=9];
31488 -> 26477[label="",style="solid", color="burlywood", weight=3];
31489[label="vvv1229/Zero",fontsize=10,color="white",style="solid",shape="box"];26416 -> 31489[label="",style="solid", color="burlywood", weight=9];
31489 -> 26478[label="",style="solid", color="burlywood", weight=3];
22955 -> 22606[label="",style="dashed", color="red", weight=0];
22955[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv103900) Zero) (Succ Zero))) vvv1025) (Neg (Succ Zero)) (Pos (primModNatS (primMinusNatS (Succ vvv103900) Zero) (Succ Zero))))",fontsize=16,color="magenta"];22955 -> 23039[label="",style="dashed", color="magenta", weight=3];
22955 -> 23040[label="",style="dashed", color="magenta", weight=3];
22955 -> 23041[label="",style="dashed", color="magenta", weight=3];
22956[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) vvv1025) (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31491[label="vvv1025/Pos vvv10250",fontsize=10,color="white",style="solid",shape="box"];22956 -> 31491[label="",style="solid", color="burlywood", weight=9];
31491 -> 23042[label="",style="solid", color="burlywood", weight=3];
31492[label="vvv1025/Neg vvv10250",fontsize=10,color="white",style="solid",shape="box"];22956 -> 31492[label="",style="solid", color="burlywood", weight=9];
31492 -> 23043[label="",style="solid", color="burlywood", weight=3];
22957 -> 22606[label="",style="dashed", color="red", weight=0];
22957[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))) vvv1025) (Neg (Succ Zero)) (Pos (primModNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="magenta"];22957 -> 23044[label="",style="dashed", color="magenta", weight=3];
22957 -> 23045[label="",style="dashed", color="magenta", weight=3];
22957 -> 23046[label="",style="dashed", color="magenta", weight=3];
22958[label="primQuotInt (Neg vvv1020) (gcd0Gcd'0 (Neg (Succ vvv1022)) (Pos Zero))",fontsize=16,color="black",shape="box"];22958 -> 23047[label="",style="solid", color="black", weight=3];
22959 -> 13605[label="",style="dashed", color="red", weight=0];
22959[label="primQuotInt (Neg vvv1020) (Neg (Succ vvv1022))",fontsize=16,color="magenta"];22959 -> 23048[label="",style="dashed", color="magenta", weight=3];
22959 -> 23049[label="",style="dashed", color="magenta", weight=3];
14143[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg (Succ vvv4550))) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (primNegInt (Neg (Succ vvv4550))) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];14143 -> 14411[label="",style="solid", color="black", weight=3];
21844[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (absReal1 (Neg (Succ vvv974)) True) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (absReal1 (Neg (Succ vvv974)) True) (Neg (Succ vvv977))))",fontsize=16,color="black",shape="box"];21844 -> 21993[label="",style="solid", color="black", weight=3];
14149[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (`negate` Neg Zero) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (`negate` Neg Zero) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];14149 -> 14417[label="",style="solid", color="black", weight=3];
26170[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS (Succ vvv11970) (Succ vvv11980)))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS (Succ vvv11970) (Succ vvv11980)))))",fontsize=16,color="black",shape="box"];26170 -> 26246[label="",style="solid", color="black", weight=3];
26171[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS (Succ vvv11970) Zero))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS (Succ vvv11970) Zero))))",fontsize=16,color="black",shape="box"];26171 -> 26247[label="",style="solid", color="black", weight=3];
26172[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS Zero (Succ vvv11980)))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS Zero (Succ vvv11980)))))",fontsize=16,color="black",shape="box"];26172 -> 26248[label="",style="solid", color="black", weight=3];
26173[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS Zero Zero))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];26173 -> 26249[label="",style="solid", color="black", weight=3];
23499[label="Succ vvv105300",fontsize=16,color="green",shape="box"];23500[label="Zero",fontsize=16,color="green",shape="box"];23501[label="Succ vvv105300",fontsize=16,color="green",shape="box"];23502[label="Zero",fontsize=16,color="green",shape="box"];23503[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 False (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="triangle"];23503 -> 23549[label="",style="solid", color="black", weight=3];
23504[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg (Succ vvv104600))) (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23504 -> 23550[label="",style="solid", color="black", weight=3];
23505[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg Zero)) (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23505 -> 23551[label="",style="solid", color="black", weight=3];
23506[label="Zero",fontsize=16,color="green",shape="box"];23507[label="Zero",fontsize=16,color="green",shape="box"];23508[label="Zero",fontsize=16,color="green",shape="box"];23509[label="Zero",fontsize=16,color="green",shape="box"];27462[label="vvv1041",fontsize=16,color="green",shape="box"];27463 -> 23521[label="",style="dashed", color="red", weight=0];
27463[label="Pos (Succ vvv1043) `rem` Neg Zero",fontsize=16,color="magenta"];27463 -> 27468[label="",style="dashed", color="magenta", weight=3];
21989[label="vvv9860",fontsize=16,color="green",shape="box"];21990[label="vvv9850",fontsize=16,color="green",shape="box"];21991 -> 20697[label="",style="dashed", color="red", weight=0];
21991[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv983) vvv984) (Succ vvv984))) vvv987) (Pos (Succ vvv984)) (Pos (primModNatS (primMinusNatS (Succ vvv983) vvv984) (Succ vvv984))))",fontsize=16,color="magenta"];21991 -> 22038[label="",style="dashed", color="magenta", weight=3];
21991 -> 22039[label="",style="dashed", color="magenta", weight=3];
21991 -> 22040[label="",style="dashed", color="magenta", weight=3];
21991 -> 22041[label="",style="dashed", color="magenta", weight=3];
21991 -> 22042[label="",style="dashed", color="magenta", weight=3];
21992[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv983))) vvv987) (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="burlywood",shape="box"];31497[label="vvv987/Pos vvv9870",fontsize=10,color="white",style="solid",shape="box"];21992 -> 31497[label="",style="solid", color="burlywood", weight=9];
31497 -> 22043[label="",style="solid", color="burlywood", weight=3];
31498[label="vvv987/Neg vvv9870",fontsize=10,color="white",style="solid",shape="box"];21992 -> 31498[label="",style="solid", color="burlywood", weight=9];
31498 -> 22044[label="",style="solid", color="burlywood", weight=3];
18817[label="primMinusNatS (Succ vvv75100) (Succ vvv7520)",fontsize=16,color="black",shape="box"];18817 -> 18844[label="",style="solid", color="black", weight=3];
18818[label="primMinusNatS (Succ vvv75100) Zero",fontsize=16,color="black",shape="box"];18818 -> 18845[label="",style="solid", color="black", weight=3];
18819[label="primMinusNatS Zero (Succ vvv7520)",fontsize=16,color="black",shape="box"];18819 -> 18846[label="",style="solid", color="black", weight=3];
18820[label="primMinusNatS Zero Zero",fontsize=16,color="black",shape="box"];18820 -> 18847[label="",style="solid", color="black", weight=3];
26596[label="Zero",fontsize=16,color="green",shape="box"];26597[label="vvv870",fontsize=16,color="green",shape="box"];26598[label="Zero",fontsize=16,color="green",shape="box"];26599[label="vvv87500",fontsize=16,color="green",shape="box"];26600[label="Succ vvv8720",fontsize=16,color="green",shape="box"];26595[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat vvv1237 vvv1238) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="burlywood",shape="triangle"];31499[label="vvv1237/Succ vvv12370",fontsize=10,color="white",style="solid",shape="box"];26595 -> 31499[label="",style="solid", color="burlywood", weight=9];
31499 -> 26646[label="",style="solid", color="burlywood", weight=3];
31500[label="vvv1237/Zero",fontsize=10,color="white",style="solid",shape="box"];26595 -> 31500[label="",style="solid", color="burlywood", weight=9];
31500 -> 26647[label="",style="solid", color="burlywood", weight=3];
21020[label="primQuotInt (Pos vvv870) (gcd0Gcd' (Pos (Succ Zero)) (Pos (Succ (Succ vvv8720)) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];21020 -> 21046[label="",style="solid", color="black", weight=3];
14695 -> 12754[label="",style="dashed", color="red", weight=0];
14695[label="primRemInt (Pos (Succ vvv1160)) (Pos Zero)",fontsize=16,color="magenta"];14695 -> 15019[label="",style="dashed", color="magenta", weight=3];
26244[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS (Succ vvv12080) vvv1209))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS (Succ vvv12080) vvv1209))))",fontsize=16,color="burlywood",shape="box"];31502[label="vvv1209/Succ vvv12090",fontsize=10,color="white",style="solid",shape="box"];26244 -> 31502[label="",style="solid", color="burlywood", weight=9];
31502 -> 26320[label="",style="solid", color="burlywood", weight=3];
31503[label="vvv1209/Zero",fontsize=10,color="white",style="solid",shape="box"];26244 -> 31503[label="",style="solid", color="burlywood", weight=9];
31503 -> 26321[label="",style="solid", color="burlywood", weight=3];
26245[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS Zero vvv1209))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS Zero vvv1209))))",fontsize=16,color="burlywood",shape="box"];31504[label="vvv1209/Succ vvv12090",fontsize=10,color="white",style="solid",shape="box"];26245 -> 31504[label="",style="solid", color="burlywood", weight=9];
31504 -> 26322[label="",style="solid", color="burlywood", weight=3];
31505[label="vvv1209/Zero",fontsize=10,color="white",style="solid",shape="box"];26245 -> 31505[label="",style="solid", color="burlywood", weight=9];
31505 -> 26323[label="",style="solid", color="burlywood", weight=3];
22878 -> 18617[label="",style="dashed", color="red", weight=0];
22878[label="primMinusNatS (Succ vvv103500) Zero",fontsize=16,color="magenta"];22878 -> 22979[label="",style="dashed", color="magenta", weight=3];
22878 -> 22980[label="",style="dashed", color="magenta", weight=3];
22879 -> 18617[label="",style="dashed", color="red", weight=0];
22879[label="primMinusNatS (Succ vvv103500) Zero",fontsize=16,color="magenta"];22879 -> 22981[label="",style="dashed", color="magenta", weight=3];
22879 -> 22982[label="",style="dashed", color="magenta", weight=3];
22880[label="Zero",fontsize=16,color="green",shape="box"];22881[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos vvv10110)) (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31508[label="vvv10110/Succ vvv101100",fontsize=10,color="white",style="solid",shape="box"];22881 -> 31508[label="",style="solid", color="burlywood", weight=9];
31508 -> 22983[label="",style="solid", color="burlywood", weight=3];
31509[label="vvv10110/Zero",fontsize=10,color="white",style="solid",shape="box"];22881 -> 31509[label="",style="solid", color="burlywood", weight=9];
31509 -> 22984[label="",style="solid", color="burlywood", weight=3];
22882[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Neg vvv10110)) (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];22882 -> 22985[label="",style="solid", color="black", weight=3];
22883 -> 18617[label="",style="dashed", color="red", weight=0];
22883[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];22883 -> 22986[label="",style="dashed", color="magenta", weight=3];
22883 -> 22987[label="",style="dashed", color="magenta", weight=3];
22884 -> 18617[label="",style="dashed", color="red", weight=0];
22884[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];22884 -> 22988[label="",style="dashed", color="magenta", weight=3];
22884 -> 22989[label="",style="dashed", color="magenta", weight=3];
22885[label="Zero",fontsize=16,color="green",shape="box"];22886 -> 20968[label="",style="dashed", color="red", weight=0];
22886[label="primQuotInt (Pos vvv1006) (gcd0Gcd' (Pos Zero) (Neg (Succ vvv1008) `rem` Pos Zero))",fontsize=16,color="magenta"];22886 -> 22990[label="",style="dashed", color="magenta", weight=3];
22886 -> 22991[label="",style="dashed", color="magenta", weight=3];
22887[label="vvv1008",fontsize=16,color="green",shape="box"];22888[label="vvv1006",fontsize=16,color="green",shape="box"];26318[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS (Succ vvv12150) vvv1216))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS (Succ vvv12150) vvv1216))))",fontsize=16,color="burlywood",shape="box"];31513[label="vvv1216/Succ vvv12160",fontsize=10,color="white",style="solid",shape="box"];26318 -> 31513[label="",style="solid", color="burlywood", weight=9];
31513 -> 26398[label="",style="solid", color="burlywood", weight=3];
31514[label="vvv1216/Zero",fontsize=10,color="white",style="solid",shape="box"];26318 -> 31514[label="",style="solid", color="burlywood", weight=9];
31514 -> 26399[label="",style="solid", color="burlywood", weight=3];
26319[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS Zero vvv1216))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS Zero vvv1216))))",fontsize=16,color="burlywood",shape="box"];31515[label="vvv1216/Succ vvv12160",fontsize=10,color="white",style="solid",shape="box"];26319 -> 31515[label="",style="solid", color="burlywood", weight=9];
31515 -> 26400[label="",style="solid", color="burlywood", weight=3];
31516[label="vvv1216/Zero",fontsize=10,color="white",style="solid",shape="box"];26319 -> 31516[label="",style="solid", color="burlywood", weight=9];
31516 -> 26401[label="",style="solid", color="burlywood", weight=3];
24261[label="Zero",fontsize=16,color="green",shape="box"];24262 -> 18617[label="",style="dashed", color="red", weight=0];
24262[label="primMinusNatS (Succ vvv108400) Zero",fontsize=16,color="magenta"];24262 -> 24343[label="",style="dashed", color="magenta", weight=3];
24262 -> 24344[label="",style="dashed", color="magenta", weight=3];
24263 -> 18617[label="",style="dashed", color="red", weight=0];
24263[label="primMinusNatS (Succ vvv108400) Zero",fontsize=16,color="magenta"];24263 -> 24345[label="",style="dashed", color="magenta", weight=3];
24263 -> 24346[label="",style="dashed", color="magenta", weight=3];
24264[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Pos vvv10730)) (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];24264 -> 24347[label="",style="solid", color="black", weight=3];
24265[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg vvv10730)) (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31519[label="vvv10730/Succ vvv107300",fontsize=10,color="white",style="solid",shape="box"];24265 -> 31519[label="",style="solid", color="burlywood", weight=9];
31519 -> 24348[label="",style="solid", color="burlywood", weight=3];
31520[label="vvv10730/Zero",fontsize=10,color="white",style="solid",shape="box"];24265 -> 31520[label="",style="solid", color="burlywood", weight=9];
31520 -> 24349[label="",style="solid", color="burlywood", weight=3];
24266[label="Zero",fontsize=16,color="green",shape="box"];24267 -> 18617[label="",style="dashed", color="red", weight=0];
24267[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];24267 -> 24350[label="",style="dashed", color="magenta", weight=3];
24267 -> 24351[label="",style="dashed", color="magenta", weight=3];
24268 -> 18617[label="",style="dashed", color="red", weight=0];
24268[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];24268 -> 24352[label="",style="dashed", color="magenta", weight=3];
24268 -> 24353[label="",style="dashed", color="magenta", weight=3];
24269 -> 24354[label="",style="dashed", color="red", weight=0];
24269[label="primQuotInt (Neg vvv1068) (gcd0Gcd' (Neg Zero) (Neg (Succ vvv1070) `rem` Neg Zero))",fontsize=16,color="magenta"];24269 -> 24361[label="",style="dashed", color="magenta", weight=3];
24270[label="vvv1070",fontsize=16,color="green",shape="box"];24271[label="vvv1068",fontsize=16,color="green",shape="box"];19947[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv814)) (Neg (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (primRemInt (Neg (Succ vvv814)) (Neg (Succ vvv817))))",fontsize=16,color="black",shape="triangle"];19947 -> 19984[label="",style="solid", color="black", weight=3];
28712[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS (Succ vvv13250) vvv1326))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS (Succ vvv13250) vvv1326))))",fontsize=16,color="burlywood",shape="box"];31524[label="vvv1326/Succ vvv13260",fontsize=10,color="white",style="solid",shape="box"];28712 -> 31524[label="",style="solid", color="burlywood", weight=9];
31524 -> 28714[label="",style="solid", color="burlywood", weight=3];
31525[label="vvv1326/Zero",fontsize=10,color="white",style="solid",shape="box"];28712 -> 31525[label="",style="solid", color="burlywood", weight=9];
31525 -> 28715[label="",style="solid", color="burlywood", weight=3];
28713[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS Zero vvv1326))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS Zero vvv1326))))",fontsize=16,color="burlywood",shape="box"];31526[label="vvv1326/Succ vvv13260",fontsize=10,color="white",style="solid",shape="box"];28713 -> 31526[label="",style="solid", color="burlywood", weight=9];
31526 -> 28716[label="",style="solid", color="burlywood", weight=3];
31527[label="vvv1326/Zero",fontsize=10,color="white",style="solid",shape="box"];28713 -> 31527[label="",style="solid", color="burlywood", weight=9];
31527 -> 28717[label="",style="solid", color="burlywood", weight=3];
27394 -> 18617[label="",style="dashed", color="red", weight=0];
27394[label="primMinusNatS (Succ vvv125600) Zero",fontsize=16,color="magenta"];27394 -> 27442[label="",style="dashed", color="magenta", weight=3];
27394 -> 27443[label="",style="dashed", color="magenta", weight=3];
27395 -> 18617[label="",style="dashed", color="red", weight=0];
27395[label="primMinusNatS (Succ vvv125600) Zero",fontsize=16,color="magenta"];27395 -> 27444[label="",style="dashed", color="magenta", weight=3];
27395 -> 27445[label="",style="dashed", color="magenta", weight=3];
27396[label="Zero",fontsize=16,color="green",shape="box"];27397[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Pos vvv12540)) (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];27397 -> 27446[label="",style="solid", color="black", weight=3];
27398[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg vvv12540)) (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31530[label="vvv12540/Succ vvv125400",fontsize=10,color="white",style="solid",shape="box"];27398 -> 31530[label="",style="solid", color="burlywood", weight=9];
31530 -> 27447[label="",style="solid", color="burlywood", weight=3];
31531[label="vvv12540/Zero",fontsize=10,color="white",style="solid",shape="box"];27398 -> 31531[label="",style="solid", color="burlywood", weight=9];
31531 -> 27448[label="",style="solid", color="burlywood", weight=3];
27399 -> 18617[label="",style="dashed", color="red", weight=0];
27399[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];27399 -> 27449[label="",style="dashed", color="magenta", weight=3];
27399 -> 27450[label="",style="dashed", color="magenta", weight=3];
27400 -> 18617[label="",style="dashed", color="red", weight=0];
27400[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];27400 -> 27451[label="",style="dashed", color="magenta", weight=3];
27400 -> 27452[label="",style="dashed", color="magenta", weight=3];
27401[label="Zero",fontsize=16,color="green",shape="box"];27402 -> 27453[label="",style="dashed", color="red", weight=0];
27402[label="primQuotInt (Pos vvv1249) (gcd0Gcd' (Neg Zero) (Neg (Succ vvv1251) `rem` Neg Zero))",fontsize=16,color="magenta"];27402 -> 27464[label="",style="dashed", color="magenta", weight=3];
27403[label="vvv1251",fontsize=16,color="green",shape="box"];27404[label="vvv1249",fontsize=16,color="green",shape="box"];19983 -> 17789[label="",style="dashed", color="red", weight=0];
19983[label="primQuotInt (Neg vvv820) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv821)) (Pos (Succ vvv824))) vvv825) (Pos (Succ vvv824)) (primRemInt (Neg (Succ vvv821)) (Pos (Succ vvv824))))",fontsize=16,color="magenta"];19983 -> 19995[label="",style="dashed", color="magenta", weight=3];
19983 -> 19996[label="",style="dashed", color="magenta", weight=3];
19983 -> 19997[label="",style="dashed", color="magenta", weight=3];
19983 -> 19998[label="",style="dashed", color="magenta", weight=3];
19994 -> 19730[label="",style="dashed", color="red", weight=0];
19994[label="primQuotInt (Neg vvv827) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv828)) (Neg (Succ vvv831))) vvv832) (Neg (Succ vvv831)) (primRemInt (Neg (Succ vvv828)) (Neg (Succ vvv831))))",fontsize=16,color="magenta"];19994 -> 20028[label="",style="dashed", color="magenta", weight=3];
19994 -> 20029[label="",style="dashed", color="magenta", weight=3];
19994 -> 20030[label="",style="dashed", color="magenta", weight=3];
19994 -> 20031[label="",style="dashed", color="magenta", weight=3];
26095 -> 25914[label="",style="dashed", color="red", weight=0];
26095[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS vvv11890 vvv11900))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 (primGEqNatS vvv11890 vvv11900))))",fontsize=16,color="magenta"];26095 -> 26174[label="",style="dashed", color="magenta", weight=3];
26095 -> 26175[label="",style="dashed", color="magenta", weight=3];
26096[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 True)) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 True)))",fontsize=16,color="black",shape="triangle"];26096 -> 26176[label="",style="solid", color="black", weight=3];
26097[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 False)) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 False)))",fontsize=16,color="black",shape="box"];26097 -> 26177[label="",style="solid", color="black", weight=3];
26098 -> 26096[label="",style="dashed", color="red", weight=0];
26098[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1187) vvv1188 True)) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS0 (Succ vvv1187) vvv1188 True)))",fontsize=16,color="magenta"];23364[label="primQuotInt (Neg vvv1028) (gcd0Gcd'0 (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23364 -> 23417[label="",style="solid", color="black", weight=3];
23365 -> 27752[label="",style="dashed", color="red", weight=0];
23365[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (primEqNat Zero vvv103300) (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];23365 -> 27753[label="",style="dashed", color="magenta", weight=3];
23365 -> 27754[label="",style="dashed", color="magenta", weight=3];
23365 -> 27755[label="",style="dashed", color="magenta", weight=3];
23365 -> 27756[label="",style="dashed", color="magenta", weight=3];
23365 -> 27757[label="",style="dashed", color="magenta", weight=3];
23366 -> 23238[label="",style="dashed", color="red", weight=0];
23366[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 False (Pos (Succ (Succ vvv10300))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];23521[label="Pos (Succ vvv1030) `rem` Neg Zero",fontsize=16,color="black",shape="triangle"];23521 -> 23608[label="",style="solid", color="black", weight=3];
26396[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS (Succ vvv12220) vvv1223))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS (Succ vvv12220) vvv1223))))",fontsize=16,color="burlywood",shape="box"];31541[label="vvv1223/Succ vvv12230",fontsize=10,color="white",style="solid",shape="box"];26396 -> 31541[label="",style="solid", color="burlywood", weight=9];
31541 -> 26479[label="",style="solid", color="burlywood", weight=3];
31542[label="vvv1223/Zero",fontsize=10,color="white",style="solid",shape="box"];26396 -> 31542[label="",style="solid", color="burlywood", weight=9];
31542 -> 26480[label="",style="solid", color="burlywood", weight=3];
26397[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS Zero vvv1223))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS Zero vvv1223))))",fontsize=16,color="burlywood",shape="box"];31543[label="vvv1223/Succ vvv12230",fontsize=10,color="white",style="solid",shape="box"];26397 -> 31543[label="",style="solid", color="burlywood", weight=9];
31543 -> 26481[label="",style="solid", color="burlywood", weight=3];
31544[label="vvv1223/Zero",fontsize=10,color="white",style="solid",shape="box"];26397 -> 31544[label="",style="solid", color="burlywood", weight=9];
31544 -> 26482[label="",style="solid", color="burlywood", weight=3];
22964 -> 18617[label="",style="dashed", color="red", weight=0];
22964[label="primMinusNatS (Succ vvv103700) Zero",fontsize=16,color="magenta"];22964 -> 23054[label="",style="dashed", color="magenta", weight=3];
22964 -> 23055[label="",style="dashed", color="magenta", weight=3];
22965[label="Zero",fontsize=16,color="green",shape="box"];22966 -> 18617[label="",style="dashed", color="red", weight=0];
22966[label="primMinusNatS (Succ vvv103700) Zero",fontsize=16,color="magenta"];22966 -> 23056[label="",style="dashed", color="magenta", weight=3];
22966 -> 23057[label="",style="dashed", color="magenta", weight=3];
22967[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos vvv10180)) (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31547[label="vvv10180/Succ vvv101800",fontsize=10,color="white",style="solid",shape="box"];22967 -> 31547[label="",style="solid", color="burlywood", weight=9];
31547 -> 23058[label="",style="solid", color="burlywood", weight=3];
31548[label="vvv10180/Zero",fontsize=10,color="white",style="solid",shape="box"];22967 -> 31548[label="",style="solid", color="burlywood", weight=9];
31548 -> 23059[label="",style="solid", color="burlywood", weight=3];
22968[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Neg vvv10180)) (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];22968 -> 23060[label="",style="solid", color="black", weight=3];
22969 -> 18617[label="",style="dashed", color="red", weight=0];
22969[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];22969 -> 23061[label="",style="dashed", color="magenta", weight=3];
22969 -> 23062[label="",style="dashed", color="magenta", weight=3];
22970[label="Zero",fontsize=16,color="green",shape="box"];22971 -> 18617[label="",style="dashed", color="red", weight=0];
22971[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];22971 -> 23063[label="",style="dashed", color="magenta", weight=3];
22971 -> 23064[label="",style="dashed", color="magenta", weight=3];
22972 -> 23065[label="",style="dashed", color="red", weight=0];
22972[label="primQuotInt (Neg vvv1013) (gcd0Gcd' (Pos Zero) (Pos (Succ vvv1015) `rem` Pos Zero))",fontsize=16,color="magenta"];22972 -> 23074[label="",style="dashed", color="magenta", weight=3];
22973[label="vvv1013",fontsize=16,color="green",shape="box"];22974[label="vvv1015",fontsize=16,color="green",shape="box"];26477[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS (Succ vvv12290) vvv1230))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS (Succ vvv12290) vvv1230))))",fontsize=16,color="burlywood",shape="box"];31552[label="vvv1230/Succ vvv12300",fontsize=10,color="white",style="solid",shape="box"];26477 -> 31552[label="",style="solid", color="burlywood", weight=9];
31552 -> 26527[label="",style="solid", color="burlywood", weight=3];
31553[label="vvv1230/Zero",fontsize=10,color="white",style="solid",shape="box"];26477 -> 31553[label="",style="solid", color="burlywood", weight=9];
31553 -> 26528[label="",style="solid", color="burlywood", weight=3];
26478[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS Zero vvv1230))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS Zero vvv1230))))",fontsize=16,color="burlywood",shape="box"];31554[label="vvv1230/Succ vvv12300",fontsize=10,color="white",style="solid",shape="box"];26478 -> 31554[label="",style="solid", color="burlywood", weight=9];
31554 -> 26529[label="",style="solid", color="burlywood", weight=3];
31555[label="vvv1230/Zero",fontsize=10,color="white",style="solid",shape="box"];26478 -> 31555[label="",style="solid", color="burlywood", weight=9];
31555 -> 26530[label="",style="solid", color="burlywood", weight=3];
23039 -> 18617[label="",style="dashed", color="red", weight=0];
23039[label="primMinusNatS (Succ vvv103900) Zero",fontsize=16,color="magenta"];23039 -> 23104[label="",style="dashed", color="magenta", weight=3];
23039 -> 23105[label="",style="dashed", color="magenta", weight=3];
23040[label="Zero",fontsize=16,color="green",shape="box"];23041 -> 18617[label="",style="dashed", color="red", weight=0];
23041[label="primMinusNatS (Succ vvv103900) Zero",fontsize=16,color="magenta"];23041 -> 23106[label="",style="dashed", color="magenta", weight=3];
23041 -> 23107[label="",style="dashed", color="magenta", weight=3];
23042[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos vvv10250)) (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];31558[label="vvv10250/Succ vvv102500",fontsize=10,color="white",style="solid",shape="box"];23042 -> 31558[label="",style="solid", color="burlywood", weight=9];
31558 -> 23108[label="",style="solid", color="burlywood", weight=3];
31559[label="vvv10250/Zero",fontsize=10,color="white",style="solid",shape="box"];23042 -> 31559[label="",style="solid", color="burlywood", weight=9];
31559 -> 23109[label="",style="solid", color="burlywood", weight=3];
23043[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Neg vvv10250)) (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23043 -> 23110[label="",style="solid", color="black", weight=3];
23044 -> 18617[label="",style="dashed", color="red", weight=0];
23044[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];23044 -> 23111[label="",style="dashed", color="magenta", weight=3];
23044 -> 23112[label="",style="dashed", color="magenta", weight=3];
23045[label="Zero",fontsize=16,color="green",shape="box"];23046 -> 18617[label="",style="dashed", color="red", weight=0];
23046[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];23046 -> 23113[label="",style="dashed", color="magenta", weight=3];
23046 -> 23114[label="",style="dashed", color="magenta", weight=3];
23047 -> 23065[label="",style="dashed", color="red", weight=0];
23047[label="primQuotInt (Neg vvv1020) (gcd0Gcd' (Pos Zero) (Neg (Succ vvv1022) `rem` Pos Zero))",fontsize=16,color="magenta"];23047 -> 23075[label="",style="dashed", color="magenta", weight=3];
23047 -> 23076[label="",style="dashed", color="magenta", weight=3];
23048[label="vvv1022",fontsize=16,color="green",shape="box"];23049[label="vvv1020",fontsize=16,color="green",shape="box"];14411 -> 13007[label="",style="dashed", color="red", weight=0];
14411[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv4550)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (Pos (Succ vvv4550)) (Neg (Succ vvv451))))",fontsize=16,color="magenta"];14411 -> 14621[label="",style="dashed", color="magenta", weight=3];
14411 -> 14622[label="",style="dashed", color="magenta", weight=3];
14411 -> 14623[label="",style="dashed", color="magenta", weight=3];
14411 -> 14624[label="",style="dashed", color="magenta", weight=3];
21993 -> 19947[label="",style="dashed", color="red", weight=0];
21993[label="primQuotInt (Pos vvv973) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv974)) (Neg (Succ vvv977))) vvv978) (Neg (Succ vvv977)) (primRemInt (Neg (Succ vvv974)) (Neg (Succ vvv977))))",fontsize=16,color="magenta"];21993 -> 22045[label="",style="dashed", color="magenta", weight=3];
21993 -> 22046[label="",style="dashed", color="magenta", weight=3];
21993 -> 22047[label="",style="dashed", color="magenta", weight=3];
21993 -> 22048[label="",style="dashed", color="magenta", weight=3];
14417[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (primNegInt (Neg Zero)) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (primNegInt (Neg Zero)) (Neg (Succ vvv451))))",fontsize=16,color="black",shape="box"];14417 -> 14630[label="",style="solid", color="black", weight=3];
26246 -> 26032[label="",style="dashed", color="red", weight=0];
26246[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS vvv11970 vvv11980))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 (primGEqNatS vvv11970 vvv11980))))",fontsize=16,color="magenta"];26246 -> 26324[label="",style="dashed", color="magenta", weight=3];
26246 -> 26325[label="",style="dashed", color="magenta", weight=3];
26247[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 True)) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 True)))",fontsize=16,color="black",shape="triangle"];26247 -> 26326[label="",style="solid", color="black", weight=3];
26248[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 False)) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 False)))",fontsize=16,color="black",shape="box"];26248 -> 26327[label="",style="solid", color="black", weight=3];
26249 -> 26247[label="",style="dashed", color="red", weight=0];
26249[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1195) vvv1196 True)) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS0 (Succ vvv1195) vvv1196 True)))",fontsize=16,color="magenta"];23549[label="primQuotInt (Pos vvv1041) (gcd0Gcd'0 (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23549 -> 23582[label="",style="solid", color="black", weight=3];
23550 -> 27863[label="",style="dashed", color="red", weight=0];
23550[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (primEqNat Zero vvv104600) (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];23550 -> 27864[label="",style="dashed", color="magenta", weight=3];
23550 -> 27865[label="",style="dashed", color="magenta", weight=3];
23550 -> 27866[label="",style="dashed", color="magenta", weight=3];
23550 -> 27867[label="",style="dashed", color="magenta", weight=3];
23550 -> 27868[label="",style="dashed", color="magenta", weight=3];
23551 -> 23503[label="",style="dashed", color="red", weight=0];
23551[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 False (Pos (Succ (Succ vvv10430))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];27468[label="vvv1043",fontsize=16,color="green",shape="box"];22038[label="vvv984",fontsize=16,color="green",shape="box"];22039 -> 18617[label="",style="dashed", color="red", weight=0];
22039[label="primMinusNatS (Succ vvv983) vvv984",fontsize=16,color="magenta"];22039 -> 22061[label="",style="dashed", color="magenta", weight=3];
22039 -> 22062[label="",style="dashed", color="magenta", weight=3];
22040[label="vvv987",fontsize=16,color="green",shape="box"];22041[label="vvv982",fontsize=16,color="green",shape="box"];22042 -> 18617[label="",style="dashed", color="red", weight=0];
22042[label="primMinusNatS (Succ vvv983) vvv984",fontsize=16,color="magenta"];22042 -> 22063[label="",style="dashed", color="magenta", weight=3];
22042 -> 22064[label="",style="dashed", color="magenta", weight=3];
22043[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv983))) (Pos vvv9870)) (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="burlywood",shape="box"];31571[label="vvv9870/Succ vvv98700",fontsize=10,color="white",style="solid",shape="box"];22043 -> 31571[label="",style="solid", color="burlywood", weight=9];
31571 -> 22065[label="",style="solid", color="burlywood", weight=3];
31572[label="vvv9870/Zero",fontsize=10,color="white",style="solid",shape="box"];22043 -> 31572[label="",style="solid", color="burlywood", weight=9];
31572 -> 22066[label="",style="solid", color="burlywood", weight=3];
22044[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv983))) (Neg vvv9870)) (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="black",shape="box"];22044 -> 22067[label="",style="solid", color="black", weight=3];
18844 -> 18617[label="",style="dashed", color="red", weight=0];
18844[label="primMinusNatS vvv75100 vvv7520",fontsize=16,color="magenta"];18844 -> 18868[label="",style="dashed", color="magenta", weight=3];
18844 -> 18869[label="",style="dashed", color="magenta", weight=3];
18845[label="Succ vvv75100",fontsize=16,color="green",shape="box"];18846[label="Zero",fontsize=16,color="green",shape="box"];18847[label="Zero",fontsize=16,color="green",shape="box"];26646[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat (Succ vvv12370) vvv1238) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="burlywood",shape="box"];31574[label="vvv1238/Succ vvv12380",fontsize=10,color="white",style="solid",shape="box"];26646 -> 31574[label="",style="solid", color="burlywood", weight=9];
31574 -> 26674[label="",style="solid", color="burlywood", weight=3];
31575[label="vvv1238/Zero",fontsize=10,color="white",style="solid",shape="box"];26646 -> 31575[label="",style="solid", color="burlywood", weight=9];
31575 -> 26675[label="",style="solid", color="burlywood", weight=3];
26647[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat Zero vvv1238) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="burlywood",shape="box"];31576[label="vvv1238/Succ vvv12380",fontsize=10,color="white",style="solid",shape="box"];26647 -> 31576[label="",style="solid", color="burlywood", weight=9];
31576 -> 26676[label="",style="solid", color="burlywood", weight=3];
31577[label="vvv1238/Zero",fontsize=10,color="white",style="solid",shape="box"];26647 -> 31577[label="",style="solid", color="burlywood", weight=9];
31577 -> 26677[label="",style="solid", color="burlywood", weight=3];
21046[label="primQuotInt (Pos vvv870) (gcd0Gcd'2 (Pos (Succ Zero)) (Pos (Succ (Succ vvv8720)) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];21046 -> 21081[label="",style="solid", color="black", weight=3];
15019[label="vvv1160",fontsize=16,color="green",shape="box"];26320[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS (Succ vvv12080) (Succ vvv12090)))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS (Succ vvv12080) (Succ vvv12090)))))",fontsize=16,color="black",shape="box"];26320 -> 26402[label="",style="solid", color="black", weight=3];
26321[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS (Succ vvv12080) Zero))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS (Succ vvv12080) Zero))))",fontsize=16,color="black",shape="box"];26321 -> 26403[label="",style="solid", color="black", weight=3];
26322[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS Zero (Succ vvv12090)))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS Zero (Succ vvv12090)))))",fontsize=16,color="black",shape="box"];26322 -> 26404[label="",style="solid", color="black", weight=3];
26323[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS Zero Zero))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];26323 -> 26405[label="",style="solid", color="black", weight=3];
22979[label="Succ vvv103500",fontsize=16,color="green",shape="box"];22980[label="Zero",fontsize=16,color="green",shape="box"];22981[label="Succ vvv103500",fontsize=16,color="green",shape="box"];22982[label="Zero",fontsize=16,color="green",shape="box"];22983[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos (Succ vvv101100))) (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];22983 -> 23096[label="",style="solid", color="black", weight=3];
22984[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];22984 -> 23097[label="",style="solid", color="black", weight=3];
22985[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 False (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="triangle"];22985 -> 23098[label="",style="solid", color="black", weight=3];
22986[label="Zero",fontsize=16,color="green",shape="box"];22987[label="Zero",fontsize=16,color="green",shape="box"];22988[label="Zero",fontsize=16,color="green",shape="box"];22989[label="Zero",fontsize=16,color="green",shape="box"];22990[label="Neg (Succ vvv1008) `rem` Pos Zero",fontsize=16,color="black",shape="triangle"];22990 -> 23099[label="",style="solid", color="black", weight=3];
22991[label="vvv1006",fontsize=16,color="green",shape="box"];26398[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS (Succ vvv12150) (Succ vvv12160)))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS (Succ vvv12150) (Succ vvv12160)))))",fontsize=16,color="black",shape="box"];26398 -> 26483[label="",style="solid", color="black", weight=3];
26399[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS (Succ vvv12150) Zero))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS (Succ vvv12150) Zero))))",fontsize=16,color="black",shape="box"];26399 -> 26484[label="",style="solid", color="black", weight=3];
26400[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS Zero (Succ vvv12160)))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS Zero (Succ vvv12160)))))",fontsize=16,color="black",shape="box"];26400 -> 26485[label="",style="solid", color="black", weight=3];
26401[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS Zero Zero))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];26401 -> 26486[label="",style="solid", color="black", weight=3];
24343[label="Succ vvv108400",fontsize=16,color="green",shape="box"];24344[label="Zero",fontsize=16,color="green",shape="box"];24345[label="Succ vvv108400",fontsize=16,color="green",shape="box"];24346[label="Zero",fontsize=16,color="green",shape="box"];24347[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 False (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="triangle"];24347 -> 24370[label="",style="solid", color="black", weight=3];
24348[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg (Succ vvv107300))) (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];24348 -> 24371[label="",style="solid", color="black", weight=3];
24349[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg Zero)) (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];24349 -> 24372[label="",style="solid", color="black", weight=3];
24350[label="Zero",fontsize=16,color="green",shape="box"];24351[label="Zero",fontsize=16,color="green",shape="box"];24352[label="Zero",fontsize=16,color="green",shape="box"];24353[label="Zero",fontsize=16,color="green",shape="box"];24361 -> 14732[label="",style="dashed", color="red", weight=0];
24361[label="Neg (Succ vvv1070) `rem` Neg Zero",fontsize=16,color="magenta"];24361 -> 24373[label="",style="dashed", color="magenta", weight=3];
19984 -> 27145[label="",style="dashed", color="red", weight=0];
19984[label="primQuotInt (Pos vvv813) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (Succ vvv814) (Succ vvv817))) vvv818) (Neg (Succ vvv817)) (Neg (primModNatS (Succ vvv814) (Succ vvv817))))",fontsize=16,color="magenta"];19984 -> 27151[label="",style="dashed", color="magenta", weight=3];
19984 -> 27152[label="",style="dashed", color="magenta", weight=3];
19984 -> 27153[label="",style="dashed", color="magenta", weight=3];
19984 -> 27154[label="",style="dashed", color="magenta", weight=3];
19984 -> 27155[label="",style="dashed", color="magenta", weight=3];
28714[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS (Succ vvv13250) (Succ vvv13260)))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS (Succ vvv13250) (Succ vvv13260)))))",fontsize=16,color="black",shape="box"];28714 -> 28718[label="",style="solid", color="black", weight=3];
28715[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS (Succ vvv13250) Zero))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS (Succ vvv13250) Zero))))",fontsize=16,color="black",shape="box"];28715 -> 28719[label="",style="solid", color="black", weight=3];
28716[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS Zero (Succ vvv13260)))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS Zero (Succ vvv13260)))))",fontsize=16,color="black",shape="box"];28716 -> 28720[label="",style="solid", color="black", weight=3];
28717[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS Zero Zero))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];28717 -> 28721[label="",style="solid", color="black", weight=3];
27442[label="Succ vvv125600",fontsize=16,color="green",shape="box"];27443[label="Zero",fontsize=16,color="green",shape="box"];27444[label="Succ vvv125600",fontsize=16,color="green",shape="box"];27445[label="Zero",fontsize=16,color="green",shape="box"];27446[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 False (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="triangle"];27446 -> 27474[label="",style="solid", color="black", weight=3];
27447[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg (Succ vvv125400))) (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];27447 -> 27475[label="",style="solid", color="black", weight=3];
27448[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqInt (Neg (Succ Zero)) (Neg Zero)) (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];27448 -> 27476[label="",style="solid", color="black", weight=3];
27449[label="Zero",fontsize=16,color="green",shape="box"];27450[label="Zero",fontsize=16,color="green",shape="box"];27451[label="Zero",fontsize=16,color="green",shape="box"];27452[label="Zero",fontsize=16,color="green",shape="box"];27464 -> 14732[label="",style="dashed", color="red", weight=0];
27464[label="Neg (Succ vvv1251) `rem` Neg Zero",fontsize=16,color="magenta"];27464 -> 27477[label="",style="dashed", color="magenta", weight=3];
19995[label="vvv824",fontsize=16,color="green",shape="box"];19996[label="vvv820",fontsize=16,color="green",shape="box"];19997[label="vvv825",fontsize=16,color="green",shape="box"];19998[label="vvv821",fontsize=16,color="green",shape="box"];20028[label="vvv828",fontsize=16,color="green",shape="box"];20029[label="vvv832",fontsize=16,color="green",shape="box"];20030[label="vvv831",fontsize=16,color="green",shape="box"];20031[label="vvv827",fontsize=16,color="green",shape="box"];26174[label="vvv11890",fontsize=16,color="green",shape="box"];26175[label="vvv11900",fontsize=16,color="green",shape="box"];26176 -> 22735[label="",style="dashed", color="red", weight=0];
26176[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv1187) vvv1188) (Succ vvv1188))) vvv1191) (Pos (Succ vvv1188)) (Neg (primModNatS (primMinusNatS (Succ vvv1187) vvv1188) (Succ vvv1188))))",fontsize=16,color="magenta"];26176 -> 26250[label="",style="dashed", color="magenta", weight=3];
26176 -> 26251[label="",style="dashed", color="magenta", weight=3];
26176 -> 26252[label="",style="dashed", color="magenta", weight=3];
26176 -> 26253[label="",style="dashed", color="magenta", weight=3];
26176 -> 26254[label="",style="dashed", color="magenta", weight=3];
26177[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1187))) vvv1191) (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="burlywood",shape="box"];31582[label="vvv1191/Pos vvv11910",fontsize=10,color="white",style="solid",shape="box"];26177 -> 31582[label="",style="solid", color="burlywood", weight=9];
31582 -> 26255[label="",style="solid", color="burlywood", weight=3];
31583[label="vvv1191/Neg vvv11910",fontsize=10,color="white",style="solid",shape="box"];26177 -> 31583[label="",style="solid", color="burlywood", weight=9];
31583 -> 26256[label="",style="solid", color="burlywood", weight=3];
23417[label="primQuotInt (Neg vvv1028) (gcd0Gcd' (Neg (Succ Zero)) (Pos (Succ (Succ vvv10300)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23417 -> 23452[label="",style="solid", color="black", weight=3];
27753[label="Zero",fontsize=16,color="green",shape="box"];27754[label="Succ vvv10300",fontsize=16,color="green",shape="box"];27755[label="vvv103300",fontsize=16,color="green",shape="box"];27756[label="Zero",fontsize=16,color="green",shape="box"];27757[label="vvv1028",fontsize=16,color="green",shape="box"];27752[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat vvv1266 vvv1267) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="burlywood",shape="triangle"];31584[label="vvv1266/Succ vvv12660",fontsize=10,color="white",style="solid",shape="box"];27752 -> 31584[label="",style="solid", color="burlywood", weight=9];
31584 -> 27803[label="",style="solid", color="burlywood", weight=3];
31585[label="vvv1266/Zero",fontsize=10,color="white",style="solid",shape="box"];27752 -> 31585[label="",style="solid", color="burlywood", weight=9];
31585 -> 27804[label="",style="solid", color="burlywood", weight=3];
23608 -> 12793[label="",style="dashed", color="red", weight=0];
23608[label="primRemInt (Pos (Succ vvv1030)) (Neg Zero)",fontsize=16,color="magenta"];23608 -> 23771[label="",style="dashed", color="magenta", weight=3];
26479[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS (Succ vvv12220) (Succ vvv12230)))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS (Succ vvv12220) (Succ vvv12230)))))",fontsize=16,color="black",shape="box"];26479 -> 26531[label="",style="solid", color="black", weight=3];
26480[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS (Succ vvv12220) Zero))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS (Succ vvv12220) Zero))))",fontsize=16,color="black",shape="box"];26480 -> 26532[label="",style="solid", color="black", weight=3];
26481[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS Zero (Succ vvv12230)))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS Zero (Succ vvv12230)))))",fontsize=16,color="black",shape="box"];26481 -> 26533[label="",style="solid", color="black", weight=3];
26482[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS Zero Zero))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];26482 -> 26534[label="",style="solid", color="black", weight=3];
23054[label="Succ vvv103700",fontsize=16,color="green",shape="box"];23055[label="Zero",fontsize=16,color="green",shape="box"];23056[label="Succ vvv103700",fontsize=16,color="green",shape="box"];23057[label="Zero",fontsize=16,color="green",shape="box"];23058[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos (Succ vvv101800))) (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23058 -> 23120[label="",style="solid", color="black", weight=3];
23059[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23059 -> 23121[label="",style="solid", color="black", weight=3];
23060[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 False (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="triangle"];23060 -> 23122[label="",style="solid", color="black", weight=3];
23061[label="Zero",fontsize=16,color="green",shape="box"];23062[label="Zero",fontsize=16,color="green",shape="box"];23063[label="Zero",fontsize=16,color="green",shape="box"];23064[label="Zero",fontsize=16,color="green",shape="box"];23074 -> 14480[label="",style="dashed", color="red", weight=0];
23074[label="Pos (Succ vvv1015) `rem` Pos Zero",fontsize=16,color="magenta"];23074 -> 23123[label="",style="dashed", color="magenta", weight=3];
26527[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS (Succ vvv12290) (Succ vvv12300)))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS (Succ vvv12290) (Succ vvv12300)))))",fontsize=16,color="black",shape="box"];26527 -> 26567[label="",style="solid", color="black", weight=3];
26528[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS (Succ vvv12290) Zero))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS (Succ vvv12290) Zero))))",fontsize=16,color="black",shape="box"];26528 -> 26568[label="",style="solid", color="black", weight=3];
26529[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS Zero (Succ vvv12300)))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS Zero (Succ vvv12300)))))",fontsize=16,color="black",shape="box"];26529 -> 26569[label="",style="solid", color="black", weight=3];
26530[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS Zero Zero))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS Zero Zero))))",fontsize=16,color="black",shape="box"];26530 -> 26570[label="",style="solid", color="black", weight=3];
23104[label="Succ vvv103900",fontsize=16,color="green",shape="box"];23105[label="Zero",fontsize=16,color="green",shape="box"];23106[label="Succ vvv103900",fontsize=16,color="green",shape="box"];23107[label="Zero",fontsize=16,color="green",shape="box"];23108[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos (Succ vvv102500))) (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23108 -> 23185[label="",style="solid", color="black", weight=3];
23109[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23109 -> 23186[label="",style="solid", color="black", weight=3];
23110[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 False (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="triangle"];23110 -> 23187[label="",style="solid", color="black", weight=3];
23111[label="Zero",fontsize=16,color="green",shape="box"];23112[label="Zero",fontsize=16,color="green",shape="box"];23113[label="Zero",fontsize=16,color="green",shape="box"];23114[label="Zero",fontsize=16,color="green",shape="box"];23075 -> 22990[label="",style="dashed", color="red", weight=0];
23075[label="Neg (Succ vvv1022) `rem` Pos Zero",fontsize=16,color="magenta"];23075 -> 23124[label="",style="dashed", color="magenta", weight=3];
23076[label="vvv1020",fontsize=16,color="green",shape="box"];14621[label="vvv490",fontsize=16,color="green",shape="box"];14622[label="vvv451",fontsize=16,color="green",shape="box"];14623[label="vvv450",fontsize=16,color="green",shape="box"];14624[label="vvv4550",fontsize=16,color="green",shape="box"];22045[label="vvv978",fontsize=16,color="green",shape="box"];22046[label="vvv974",fontsize=16,color="green",shape="box"];22047[label="vvv973",fontsize=16,color="green",shape="box"];22048[label="vvv977",fontsize=16,color="green",shape="box"];14630 -> 12186[label="",style="dashed", color="red", weight=0];
14630[label="primQuotInt (Pos vvv450) (gcd0Gcd'1 (primEqInt (primRemInt (Pos Zero) (Neg (Succ vvv451))) vvv490) (Neg (Succ vvv451)) (primRemInt (Pos Zero) (Neg (Succ vvv451))))",fontsize=16,color="magenta"];14630 -> 14912[label="",style="dashed", color="magenta", weight=3];
14630 -> 14913[label="",style="dashed", color="magenta", weight=3];
14630 -> 14914[label="",style="dashed", color="magenta", weight=3];
26324[label="vvv11980",fontsize=16,color="green",shape="box"];26325[label="vvv11970",fontsize=16,color="green",shape="box"];26326 -> 22992[label="",style="dashed", color="red", weight=0];
26326[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv1195) vvv1196) (Succ vvv1196))) vvv1199) (Pos (Succ vvv1196)) (Neg (primModNatS (primMinusNatS (Succ vvv1195) vvv1196) (Succ vvv1196))))",fontsize=16,color="magenta"];26326 -> 26406[label="",style="dashed", color="magenta", weight=3];
26326 -> 26407[label="",style="dashed", color="magenta", weight=3];
26326 -> 26408[label="",style="dashed", color="magenta", weight=3];
26326 -> 26409[label="",style="dashed", color="magenta", weight=3];
26326 -> 26410[label="",style="dashed", color="magenta", weight=3];
26327[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1195))) vvv1199) (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="burlywood",shape="box"];31591[label="vvv1199/Pos vvv11990",fontsize=10,color="white",style="solid",shape="box"];26327 -> 31591[label="",style="solid", color="burlywood", weight=9];
31591 -> 26411[label="",style="solid", color="burlywood", weight=3];
31592[label="vvv1199/Neg vvv11990",fontsize=10,color="white",style="solid",shape="box"];26327 -> 31592[label="",style="solid", color="burlywood", weight=9];
31592 -> 26412[label="",style="solid", color="burlywood", weight=3];
23582[label="primQuotInt (Pos vvv1041) (gcd0Gcd' (Neg (Succ Zero)) (Pos (Succ (Succ vvv10430)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23582 -> 23602[label="",style="solid", color="black", weight=3];
27864[label="Succ vvv10430",fontsize=16,color="green",shape="box"];27865[label="Zero",fontsize=16,color="green",shape="box"];27866[label="vvv104600",fontsize=16,color="green",shape="box"];27867[label="vvv1041",fontsize=16,color="green",shape="box"];27868[label="Zero",fontsize=16,color="green",shape="box"];27863[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat vvv1273 vvv1274) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="burlywood",shape="triangle"];31593[label="vvv1273/Succ vvv12730",fontsize=10,color="white",style="solid",shape="box"];27863 -> 31593[label="",style="solid", color="burlywood", weight=9];
31593 -> 27914[label="",style="solid", color="burlywood", weight=3];
31594[label="vvv1273/Zero",fontsize=10,color="white",style="solid",shape="box"];27863 -> 31594[label="",style="solid", color="burlywood", weight=9];
31594 -> 27915[label="",style="solid", color="burlywood", weight=3];
22061[label="Succ vvv983",fontsize=16,color="green",shape="box"];22062[label="vvv984",fontsize=16,color="green",shape="box"];22063[label="Succ vvv983",fontsize=16,color="green",shape="box"];22064[label="vvv984",fontsize=16,color="green",shape="box"];22065[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv983))) (Pos (Succ vvv98700))) (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="black",shape="box"];22065 -> 22168[label="",style="solid", color="black", weight=3];
22066[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv983))) (Pos Zero)) (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="black",shape="box"];22066 -> 22169[label="",style="solid", color="black", weight=3];
22067[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 False (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="black",shape="triangle"];22067 -> 22170[label="",style="solid", color="black", weight=3];
18868[label="vvv75100",fontsize=16,color="green",shape="box"];18869[label="vvv7520",fontsize=16,color="green",shape="box"];26674[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat (Succ vvv12370) (Succ vvv12380)) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26674 -> 26735[label="",style="solid", color="black", weight=3];
26675[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat (Succ vvv12370) Zero) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26675 -> 26736[label="",style="solid", color="black", weight=3];
26676[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat Zero (Succ vvv12380)) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26676 -> 26737[label="",style="solid", color="black", weight=3];
26677[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat Zero Zero) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26677 -> 26738[label="",style="solid", color="black", weight=3];
21081 -> 26850[label="",style="dashed", color="red", weight=0];
21081[label="primQuotInt (Pos vvv870) (gcd0Gcd'1 (Pos (Succ (Succ vvv8720)) `rem` Pos (Succ Zero) == fromInt (Pos Zero)) (Pos (Succ Zero)) (Pos (Succ (Succ vvv8720)) `rem` Pos (Succ Zero)))",fontsize=16,color="magenta"];21081 -> 26851[label="",style="dashed", color="magenta", weight=3];
21081 -> 26852[label="",style="dashed", color="magenta", weight=3];
21081 -> 26853[label="",style="dashed", color="magenta", weight=3];
21081 -> 26854[label="",style="dashed", color="magenta", weight=3];
26402 -> 26183[label="",style="dashed", color="red", weight=0];
26402[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS vvv12080 vvv12090))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 (primGEqNatS vvv12080 vvv12090))))",fontsize=16,color="magenta"];26402 -> 26487[label="",style="dashed", color="magenta", weight=3];
26402 -> 26488[label="",style="dashed", color="magenta", weight=3];
26403[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 True)) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 True)))",fontsize=16,color="black",shape="triangle"];26403 -> 26489[label="",style="solid", color="black", weight=3];
26404[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 False)) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 False)))",fontsize=16,color="black",shape="box"];26404 -> 26490[label="",style="solid", color="black", weight=3];
26405 -> 26403[label="",style="dashed", color="red", weight=0];
26405[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1206) vvv1207 True)) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS0 (Succ vvv1206) vvv1207 True)))",fontsize=16,color="magenta"];23096 -> 28008[label="",style="dashed", color="red", weight=0];
23096[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (primEqNat Zero vvv101100) (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];23096 -> 28009[label="",style="dashed", color="magenta", weight=3];
23096 -> 28010[label="",style="dashed", color="magenta", weight=3];
23096 -> 28011[label="",style="dashed", color="magenta", weight=3];
23096 -> 28012[label="",style="dashed", color="magenta", weight=3];
23096 -> 28013[label="",style="dashed", color="magenta", weight=3];
23097 -> 22985[label="",style="dashed", color="red", weight=0];
23097[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 False (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];23098[label="primQuotInt (Pos vvv1006) (gcd0Gcd'0 (Neg (Succ (Succ vvv10080))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23098 -> 23178[label="",style="solid", color="black", weight=3];
23099 -> 15027[label="",style="dashed", color="red", weight=0];
23099[label="primRemInt (Neg (Succ vvv1008)) (Pos Zero)",fontsize=16,color="magenta"];23099 -> 23179[label="",style="dashed", color="magenta", weight=3];
26483 -> 26257[label="",style="dashed", color="red", weight=0];
26483[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS vvv12150 vvv12160))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 (primGEqNatS vvv12150 vvv12160))))",fontsize=16,color="magenta"];26483 -> 26535[label="",style="dashed", color="magenta", weight=3];
26483 -> 26536[label="",style="dashed", color="magenta", weight=3];
26484[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 True)) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 True)))",fontsize=16,color="black",shape="triangle"];26484 -> 26537[label="",style="solid", color="black", weight=3];
26485[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 False)) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 False)))",fontsize=16,color="black",shape="box"];26485 -> 26538[label="",style="solid", color="black", weight=3];
26486 -> 26484[label="",style="dashed", color="red", weight=0];
26486[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1213) vvv1214 True)) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS0 (Succ vvv1213) vvv1214 True)))",fontsize=16,color="magenta"];24370[label="primQuotInt (Neg vvv1068) (gcd0Gcd'0 (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];24370 -> 24433[label="",style="solid", color="black", weight=3];
24371 -> 28080[label="",style="dashed", color="red", weight=0];
24371[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (primEqNat Zero vvv107300) (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];24371 -> 28081[label="",style="dashed", color="magenta", weight=3];
24371 -> 28082[label="",style="dashed", color="magenta", weight=3];
24371 -> 28083[label="",style="dashed", color="magenta", weight=3];
24371 -> 28084[label="",style="dashed", color="magenta", weight=3];
24371 -> 28085[label="",style="dashed", color="magenta", weight=3];
24372 -> 24347[label="",style="dashed", color="red", weight=0];
24372[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 False (Neg (Succ (Succ vvv10700))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];24373[label="vvv1070",fontsize=16,color="green",shape="box"];14732[label="Neg (Succ vvv47200) `rem` Neg Zero",fontsize=16,color="black",shape="triangle"];14732 -> 15075[label="",style="solid", color="black", weight=3];
27151[label="vvv813",fontsize=16,color="green",shape="box"];27152[label="Succ vvv814",fontsize=16,color="green",shape="box"];27153[label="vvv818",fontsize=16,color="green",shape="box"];27154[label="Succ vvv814",fontsize=16,color="green",shape="box"];27155[label="vvv817",fontsize=16,color="green",shape="box"];28718 -> 28651[label="",style="dashed", color="red", weight=0];
28718[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS vvv13250 vvv13260))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 (primGEqNatS vvv13250 vvv13260))))",fontsize=16,color="magenta"];28718 -> 28722[label="",style="dashed", color="magenta", weight=3];
28718 -> 28723[label="",style="dashed", color="magenta", weight=3];
28719[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 True)) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 True)))",fontsize=16,color="black",shape="triangle"];28719 -> 28724[label="",style="solid", color="black", weight=3];
28720[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 False)) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 False)))",fontsize=16,color="black",shape="box"];28720 -> 28725[label="",style="solid", color="black", weight=3];
28721 -> 28719[label="",style="dashed", color="red", weight=0];
28721[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS0 (Succ vvv1323) vvv1324 True)) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS0 (Succ vvv1323) vvv1324 True)))",fontsize=16,color="magenta"];27474[label="primQuotInt (Pos vvv1249) (gcd0Gcd'0 (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];27474 -> 27520[label="",style="solid", color="black", weight=3];
27475 -> 28874[label="",style="dashed", color="red", weight=0];
27475[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (primEqNat Zero vvv125400) (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];27475 -> 28875[label="",style="dashed", color="magenta", weight=3];
27475 -> 28876[label="",style="dashed", color="magenta", weight=3];
27475 -> 28877[label="",style="dashed", color="magenta", weight=3];
27475 -> 28878[label="",style="dashed", color="magenta", weight=3];
27475 -> 28879[label="",style="dashed", color="magenta", weight=3];
27476 -> 27446[label="",style="dashed", color="red", weight=0];
27476[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 False (Neg (Succ (Succ vvv12510))) (Neg (Succ Zero)))",fontsize=16,color="magenta"];27477[label="vvv1251",fontsize=16,color="green",shape="box"];26250 -> 18617[label="",style="dashed", color="red", weight=0];
26250[label="primMinusNatS (Succ vvv1187) vvv1188",fontsize=16,color="magenta"];26250 -> 26328[label="",style="dashed", color="magenta", weight=3];
26250 -> 26329[label="",style="dashed", color="magenta", weight=3];
26251 -> 18617[label="",style="dashed", color="red", weight=0];
26251[label="primMinusNatS (Succ vvv1187) vvv1188",fontsize=16,color="magenta"];26251 -> 26330[label="",style="dashed", color="magenta", weight=3];
26251 -> 26331[label="",style="dashed", color="magenta", weight=3];
26252[label="vvv1191",fontsize=16,color="green",shape="box"];26253[label="vvv1188",fontsize=16,color="green",shape="box"];26254[label="vvv1186",fontsize=16,color="green",shape="box"];26255[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1187))) (Pos vvv11910)) (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="black",shape="box"];26255 -> 26332[label="",style="solid", color="black", weight=3];
26256[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1187))) (Neg vvv11910)) (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="burlywood",shape="box"];31611[label="vvv11910/Succ vvv119100",fontsize=10,color="white",style="solid",shape="box"];26256 -> 31611[label="",style="solid", color="burlywood", weight=9];
31611 -> 26333[label="",style="solid", color="burlywood", weight=3];
31612[label="vvv11910/Zero",fontsize=10,color="white",style="solid",shape="box"];26256 -> 31612[label="",style="solid", color="burlywood", weight=9];
31612 -> 26334[label="",style="solid", color="burlywood", weight=3];
23452[label="primQuotInt (Neg vvv1028) (gcd0Gcd'2 (Neg (Succ Zero)) (Pos (Succ (Succ vvv10300)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23452 -> 23519[label="",style="solid", color="black", weight=3];
27803[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat (Succ vvv12660) vvv1267) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="burlywood",shape="box"];31613[label="vvv1267/Succ vvv12670",fontsize=10,color="white",style="solid",shape="box"];27803 -> 31613[label="",style="solid", color="burlywood", weight=9];
31613 -> 27822[label="",style="solid", color="burlywood", weight=3];
31614[label="vvv1267/Zero",fontsize=10,color="white",style="solid",shape="box"];27803 -> 31614[label="",style="solid", color="burlywood", weight=9];
31614 -> 27823[label="",style="solid", color="burlywood", weight=3];
27804[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat Zero vvv1267) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="burlywood",shape="box"];31615[label="vvv1267/Succ vvv12670",fontsize=10,color="white",style="solid",shape="box"];27804 -> 31615[label="",style="solid", color="burlywood", weight=9];
31615 -> 27824[label="",style="solid", color="burlywood", weight=3];
31616[label="vvv1267/Zero",fontsize=10,color="white",style="solid",shape="box"];27804 -> 31616[label="",style="solid", color="burlywood", weight=9];
31616 -> 27825[label="",style="solid", color="burlywood", weight=3];
23771[label="vvv1030",fontsize=16,color="green",shape="box"];26531 -> 26335[label="",style="dashed", color="red", weight=0];
26531[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS vvv12220 vvv12230))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 (primGEqNatS vvv12220 vvv12230))))",fontsize=16,color="magenta"];26531 -> 26571[label="",style="dashed", color="magenta", weight=3];
26531 -> 26572[label="",style="dashed", color="magenta", weight=3];
26532[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 True)) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 True)))",fontsize=16,color="black",shape="triangle"];26532 -> 26573[label="",style="solid", color="black", weight=3];
26533[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 False)) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 False)))",fontsize=16,color="black",shape="box"];26533 -> 26574[label="",style="solid", color="black", weight=3];
26534 -> 26532[label="",style="dashed", color="red", weight=0];
26534[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1220) vvv1221 True)) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS0 (Succ vvv1220) vvv1221 True)))",fontsize=16,color="magenta"];23120 -> 28223[label="",style="dashed", color="red", weight=0];
23120[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (primEqNat Zero vvv101800) (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];23120 -> 28224[label="",style="dashed", color="magenta", weight=3];
23120 -> 28225[label="",style="dashed", color="magenta", weight=3];
23120 -> 28226[label="",style="dashed", color="magenta", weight=3];
23120 -> 28227[label="",style="dashed", color="magenta", weight=3];
23120 -> 28228[label="",style="dashed", color="magenta", weight=3];
23121 -> 23060[label="",style="dashed", color="red", weight=0];
23121[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 False (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];23122[label="primQuotInt (Neg vvv1013) (gcd0Gcd'0 (Pos (Succ (Succ vvv10150))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23122 -> 23202[label="",style="solid", color="black", weight=3];
23123[label="vvv1015",fontsize=16,color="green",shape="box"];26567 -> 26416[label="",style="dashed", color="red", weight=0];
26567[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS vvv12290 vvv12300))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 (primGEqNatS vvv12290 vvv12300))))",fontsize=16,color="magenta"];26567 -> 26648[label="",style="dashed", color="magenta", weight=3];
26567 -> 26649[label="",style="dashed", color="magenta", weight=3];
26568[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 True)) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 True)))",fontsize=16,color="black",shape="triangle"];26568 -> 26650[label="",style="solid", color="black", weight=3];
26569[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 False)) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 False)))",fontsize=16,color="black",shape="box"];26569 -> 26651[label="",style="solid", color="black", weight=3];
26570 -> 26568[label="",style="dashed", color="red", weight=0];
26570[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS0 (Succ vvv1227) vvv1228 True)) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS0 (Succ vvv1227) vvv1228 True)))",fontsize=16,color="magenta"];23185 -> 28331[label="",style="dashed", color="red", weight=0];
23185[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 (primEqNat Zero vvv102500) (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];23185 -> 28332[label="",style="dashed", color="magenta", weight=3];
23185 -> 28333[label="",style="dashed", color="magenta", weight=3];
23185 -> 28334[label="",style="dashed", color="magenta", weight=3];
23185 -> 28335[label="",style="dashed", color="magenta", weight=3];
23185 -> 28336[label="",style="dashed", color="magenta", weight=3];
23186 -> 23110[label="",style="dashed", color="red", weight=0];
23186[label="primQuotInt (Neg vvv1020) (gcd0Gcd'1 False (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="magenta"];23187[label="primQuotInt (Neg vvv1020) (gcd0Gcd'0 (Neg (Succ (Succ vvv10220))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23187 -> 23278[label="",style="solid", color="black", weight=3];
23124[label="vvv1022",fontsize=16,color="green",shape="box"];14912[label="Neg (Succ vvv451)",fontsize=16,color="green",shape="box"];14913[label="vvv490",fontsize=16,color="green",shape="box"];14914[label="vvv450",fontsize=16,color="green",shape="box"];26406[label="vvv1194",fontsize=16,color="green",shape="box"];26407 -> 18617[label="",style="dashed", color="red", weight=0];
26407[label="primMinusNatS (Succ vvv1195) vvv1196",fontsize=16,color="magenta"];26407 -> 26491[label="",style="dashed", color="magenta", weight=3];
26407 -> 26492[label="",style="dashed", color="magenta", weight=3];
26408[label="vvv1199",fontsize=16,color="green",shape="box"];26409[label="vvv1196",fontsize=16,color="green",shape="box"];26410 -> 18617[label="",style="dashed", color="red", weight=0];
26410[label="primMinusNatS (Succ vvv1195) vvv1196",fontsize=16,color="magenta"];26410 -> 26493[label="",style="dashed", color="magenta", weight=3];
26410 -> 26494[label="",style="dashed", color="magenta", weight=3];
26411[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1195))) (Pos vvv11990)) (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="black",shape="box"];26411 -> 26495[label="",style="solid", color="black", weight=3];
26412[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1195))) (Neg vvv11990)) (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="burlywood",shape="box"];31627[label="vvv11990/Succ vvv119900",fontsize=10,color="white",style="solid",shape="box"];26412 -> 31627[label="",style="solid", color="burlywood", weight=9];
31627 -> 26496[label="",style="solid", color="burlywood", weight=3];
31628[label="vvv11990/Zero",fontsize=10,color="white",style="solid",shape="box"];26412 -> 31628[label="",style="solid", color="burlywood", weight=9];
31628 -> 26497[label="",style="solid", color="burlywood", weight=3];
23602[label="primQuotInt (Pos vvv1041) (gcd0Gcd'2 (Neg (Succ Zero)) (Pos (Succ (Succ vvv10430)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];23602 -> 23765[label="",style="solid", color="black", weight=3];
27914[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat (Succ vvv12730) vvv1274) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="burlywood",shape="box"];31629[label="vvv1274/Succ vvv12740",fontsize=10,color="white",style="solid",shape="box"];27914 -> 31629[label="",style="solid", color="burlywood", weight=9];
31629 -> 27949[label="",style="solid", color="burlywood", weight=3];
31630[label="vvv1274/Zero",fontsize=10,color="white",style="solid",shape="box"];27914 -> 31630[label="",style="solid", color="burlywood", weight=9];
31630 -> 27950[label="",style="solid", color="burlywood", weight=3];
27915[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat Zero vvv1274) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="burlywood",shape="box"];31631[label="vvv1274/Succ vvv12740",fontsize=10,color="white",style="solid",shape="box"];27915 -> 31631[label="",style="solid", color="burlywood", weight=9];
31631 -> 27951[label="",style="solid", color="burlywood", weight=3];
31632[label="vvv1274/Zero",fontsize=10,color="white",style="solid",shape="box"];27915 -> 31632[label="",style="solid", color="burlywood", weight=9];
31632 -> 27952[label="",style="solid", color="burlywood", weight=3];
22168 -> 26595[label="",style="dashed", color="red", weight=0];
22168[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (primEqNat (Succ vvv983) vvv98700) (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="magenta"];22168 -> 26601[label="",style="dashed", color="magenta", weight=3];
22168 -> 26602[label="",style="dashed", color="magenta", weight=3];
22168 -> 26603[label="",style="dashed", color="magenta", weight=3];
22168 -> 26604[label="",style="dashed", color="magenta", weight=3];
22168 -> 26605[label="",style="dashed", color="magenta", weight=3];
22169 -> 22067[label="",style="dashed", color="red", weight=0];
22169[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 False (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="magenta"];22170[label="primQuotInt (Pos vvv982) (gcd0Gcd'0 (Pos (Succ vvv984)) (Pos (Succ (Succ vvv983))))",fontsize=16,color="black",shape="box"];22170 -> 22178[label="",style="solid", color="black", weight=3];
26735 -> 26595[label="",style="dashed", color="red", weight=0];
26735[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqNat vvv12370 vvv12380) (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="magenta"];26735 -> 26757[label="",style="dashed", color="magenta", weight=3];
26735 -> 26758[label="",style="dashed", color="magenta", weight=3];
26736[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 False (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="black",shape="triangle"];26736 -> 26759[label="",style="solid", color="black", weight=3];
26737 -> 26736[label="",style="dashed", color="red", weight=0];
26737[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 False (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="magenta"];26738[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 True (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26738 -> 26760[label="",style="solid", color="black", weight=3];
26851 -> 15[label="",style="dashed", color="red", weight=0];
26851[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];26852[label="vvv870",fontsize=16,color="green",shape="box"];26853[label="Zero",fontsize=16,color="green",shape="box"];26854[label="Succ vvv8720",fontsize=16,color="green",shape="box"];26850[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240) == vvv1246) (Pos (Succ vvv1240)) (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240)))",fontsize=16,color="black",shape="triangle"];26850 -> 26868[label="",style="solid", color="black", weight=3];
26487[label="vvv12090",fontsize=16,color="green",shape="box"];26488[label="vvv12080",fontsize=16,color="green",shape="box"];26489 -> 22527[label="",style="dashed", color="red", weight=0];
26489[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv1206) vvv1207) (Succ vvv1207))) vvv1210) (Neg (Succ vvv1207)) (Pos (primModNatS (primMinusNatS (Succ vvv1206) vvv1207) (Succ vvv1207))))",fontsize=16,color="magenta"];26489 -> 26539[label="",style="dashed", color="magenta", weight=3];
26489 -> 26540[label="",style="dashed", color="magenta", weight=3];
26489 -> 26541[label="",style="dashed", color="magenta", weight=3];
26489 -> 26542[label="",style="dashed", color="magenta", weight=3];
26489 -> 26543[label="",style="dashed", color="magenta", weight=3];
26490[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1206))) vvv1210) (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="burlywood",shape="box"];31639[label="vvv1210/Pos vvv12100",fontsize=10,color="white",style="solid",shape="box"];26490 -> 31639[label="",style="solid", color="burlywood", weight=9];
31639 -> 26544[label="",style="solid", color="burlywood", weight=3];
31640[label="vvv1210/Neg vvv12100",fontsize=10,color="white",style="solid",shape="box"];26490 -> 31640[label="",style="solid", color="burlywood", weight=9];
31640 -> 26545[label="",style="solid", color="burlywood", weight=3];
28009[label="vvv1006",fontsize=16,color="green",shape="box"];28010[label="Zero",fontsize=16,color="green",shape="box"];28011[label="Succ vvv10080",fontsize=16,color="green",shape="box"];28012[label="vvv101100",fontsize=16,color="green",shape="box"];28013[label="Zero",fontsize=16,color="green",shape="box"];28008[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat vvv1280 vvv1281) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="burlywood",shape="triangle"];31641[label="vvv1280/Succ vvv12800",fontsize=10,color="white",style="solid",shape="box"];28008 -> 31641[label="",style="solid", color="burlywood", weight=9];
31641 -> 28059[label="",style="solid", color="burlywood", weight=3];
31642[label="vvv1280/Zero",fontsize=10,color="white",style="solid",shape="box"];28008 -> 31642[label="",style="solid", color="burlywood", weight=9];
31642 -> 28060[label="",style="solid", color="burlywood", weight=3];
23178[label="primQuotInt (Pos vvv1006) (gcd0Gcd' (Pos (Succ Zero)) (Neg (Succ (Succ vvv10080)) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23178 -> 23263[label="",style="solid", color="black", weight=3];
23179[label="vvv1008",fontsize=16,color="green",shape="box"];26535[label="vvv12150",fontsize=16,color="green",shape="box"];26536[label="vvv12160",fontsize=16,color="green",shape="box"];26537 -> 23956[label="",style="dashed", color="red", weight=0];
26537[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv1213) vvv1214) (Succ vvv1214))) vvv1217) (Neg (Succ vvv1214)) (Neg (primModNatS (primMinusNatS (Succ vvv1213) vvv1214) (Succ vvv1214))))",fontsize=16,color="magenta"];26537 -> 26575[label="",style="dashed", color="magenta", weight=3];
26537 -> 26576[label="",style="dashed", color="magenta", weight=3];
26537 -> 26577[label="",style="dashed", color="magenta", weight=3];
26537 -> 26578[label="",style="dashed", color="magenta", weight=3];
26537 -> 26579[label="",style="dashed", color="magenta", weight=3];
26538[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1213))) vvv1217) (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="burlywood",shape="box"];31644[label="vvv1217/Pos vvv12170",fontsize=10,color="white",style="solid",shape="box"];26538 -> 31644[label="",style="solid", color="burlywood", weight=9];
31644 -> 26580[label="",style="solid", color="burlywood", weight=3];
31645[label="vvv1217/Neg vvv12170",fontsize=10,color="white",style="solid",shape="box"];26538 -> 31645[label="",style="solid", color="burlywood", weight=9];
31645 -> 26581[label="",style="solid", color="burlywood", weight=3];
24433[label="primQuotInt (Neg vvv1068) (gcd0Gcd' (Neg (Succ Zero)) (Neg (Succ (Succ vvv10700)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];24433 -> 24491[label="",style="solid", color="black", weight=3];
28081[label="Succ vvv10700",fontsize=16,color="green",shape="box"];28082[label="Zero",fontsize=16,color="green",shape="box"];28083[label="vvv107300",fontsize=16,color="green",shape="box"];28084[label="Zero",fontsize=16,color="green",shape="box"];28085[label="vvv1068",fontsize=16,color="green",shape="box"];28080[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat vvv1286 vvv1287) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="burlywood",shape="triangle"];31646[label="vvv1286/Succ vvv12860",fontsize=10,color="white",style="solid",shape="box"];28080 -> 31646[label="",style="solid", color="burlywood", weight=9];
31646 -> 28131[label="",style="solid", color="burlywood", weight=3];
31647[label="vvv1286/Zero",fontsize=10,color="white",style="solid",shape="box"];28080 -> 31647[label="",style="solid", color="burlywood", weight=9];
31647 -> 28132[label="",style="solid", color="burlywood", weight=3];
28722[label="vvv13250",fontsize=16,color="green",shape="box"];28723[label="vvv13260",fontsize=16,color="green",shape="box"];28724 -> 27145[label="",style="dashed", color="red", weight=0];
28724[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (primModNatS (primMinusNatS (Succ vvv1323) vvv1324) (Succ vvv1324))) vvv1327) (Neg (Succ vvv1324)) (Neg (primModNatS (primMinusNatS (Succ vvv1323) vvv1324) (Succ vvv1324))))",fontsize=16,color="magenta"];28724 -> 28726[label="",style="dashed", color="magenta", weight=3];
28724 -> 28727[label="",style="dashed", color="magenta", weight=3];
28724 -> 28728[label="",style="dashed", color="magenta", weight=3];
28724 -> 28729[label="",style="dashed", color="magenta", weight=3];
28724 -> 28730[label="",style="dashed", color="magenta", weight=3];
28725[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1323))) vvv1327) (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="burlywood",shape="box"];31649[label="vvv1327/Pos vvv13270",fontsize=10,color="white",style="solid",shape="box"];28725 -> 31649[label="",style="solid", color="burlywood", weight=9];
31649 -> 28731[label="",style="solid", color="burlywood", weight=3];
31650[label="vvv1327/Neg vvv13270",fontsize=10,color="white",style="solid",shape="box"];28725 -> 31650[label="",style="solid", color="burlywood", weight=9];
31650 -> 28732[label="",style="solid", color="burlywood", weight=3];
27520[label="primQuotInt (Pos vvv1249) (gcd0Gcd' (Neg (Succ Zero)) (Neg (Succ (Succ vvv12510)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];27520 -> 27569[label="",style="solid", color="black", weight=3];
28875[label="Zero",fontsize=16,color="green",shape="box"];28876[label="Succ vvv12510",fontsize=16,color="green",shape="box"];28877[label="vvv125400",fontsize=16,color="green",shape="box"];28878[label="vvv1249",fontsize=16,color="green",shape="box"];28879[label="Zero",fontsize=16,color="green",shape="box"];28874[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat vvv1335 vvv1336) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="burlywood",shape="triangle"];31651[label="vvv1335/Succ vvv13350",fontsize=10,color="white",style="solid",shape="box"];28874 -> 31651[label="",style="solid", color="burlywood", weight=9];
31651 -> 28925[label="",style="solid", color="burlywood", weight=3];
31652[label="vvv1335/Zero",fontsize=10,color="white",style="solid",shape="box"];28874 -> 31652[label="",style="solid", color="burlywood", weight=9];
31652 -> 28926[label="",style="solid", color="burlywood", weight=3];
26328[label="Succ vvv1187",fontsize=16,color="green",shape="box"];26329[label="vvv1188",fontsize=16,color="green",shape="box"];26330[label="Succ vvv1187",fontsize=16,color="green",shape="box"];26331[label="vvv1188",fontsize=16,color="green",shape="box"];26332[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 False (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="black",shape="triangle"];26332 -> 26413[label="",style="solid", color="black", weight=3];
26333[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1187))) (Neg (Succ vvv119100))) (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="black",shape="box"];26333 -> 26414[label="",style="solid", color="black", weight=3];
26334[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1187))) (Neg Zero)) (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="black",shape="box"];26334 -> 26415[label="",style="solid", color="black", weight=3];
23519 -> 28169[label="",style="dashed", color="red", weight=0];
23519[label="primQuotInt (Neg vvv1028) (gcd0Gcd'1 (Pos (Succ (Succ vvv10300)) `rem` Neg (Succ Zero) == fromInt (Pos Zero)) (Neg (Succ Zero)) (Pos (Succ (Succ vvv10300)) `rem` Neg (Succ Zero)))",fontsize=16,color="magenta"];23519 -> 28170[label="",style="dashed", color="magenta", weight=3];
23519 -> 28171[label="",style="dashed", color="magenta", weight=3];
23519 -> 28172[label="",style="dashed", color="magenta", weight=3];
23519 -> 28173[label="",style="dashed", color="magenta", weight=3];
27822[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat (Succ vvv12660) (Succ vvv12670)) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];27822 -> 27916[label="",style="solid", color="black", weight=3];
27823[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat (Succ vvv12660) Zero) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];27823 -> 27917[label="",style="solid", color="black", weight=3];
27824[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat Zero (Succ vvv12670)) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];27824 -> 27918[label="",style="solid", color="black", weight=3];
27825[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat Zero Zero) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];27825 -> 27919[label="",style="solid", color="black", weight=3];
26571[label="vvv12220",fontsize=16,color="green",shape="box"];26572[label="vvv12230",fontsize=16,color="green",shape="box"];26573 -> 22565[label="",style="dashed", color="red", weight=0];
26573[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv1220) vvv1221) (Succ vvv1221))) vvv1224) (Pos (Succ vvv1221)) (Pos (primModNatS (primMinusNatS (Succ vvv1220) vvv1221) (Succ vvv1221))))",fontsize=16,color="magenta"];26573 -> 26652[label="",style="dashed", color="magenta", weight=3];
26573 -> 26653[label="",style="dashed", color="magenta", weight=3];
26573 -> 26654[label="",style="dashed", color="magenta", weight=3];
26573 -> 26655[label="",style="dashed", color="magenta", weight=3];
26573 -> 26656[label="",style="dashed", color="magenta", weight=3];
26574[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1220))) vvv1224) (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="burlywood",shape="box"];31655[label="vvv1224/Pos vvv12240",fontsize=10,color="white",style="solid",shape="box"];26574 -> 31655[label="",style="solid", color="burlywood", weight=9];
31655 -> 26657[label="",style="solid", color="burlywood", weight=3];
31656[label="vvv1224/Neg vvv12240",fontsize=10,color="white",style="solid",shape="box"];26574 -> 31656[label="",style="solid", color="burlywood", weight=9];
31656 -> 26658[label="",style="solid", color="burlywood", weight=3];
28224[label="Succ vvv10150",fontsize=16,color="green",shape="box"];28225[label="vvv101800",fontsize=16,color="green",shape="box"];28226[label="Zero",fontsize=16,color="green",shape="box"];28227[label="vvv1013",fontsize=16,color="green",shape="box"];28228[label="Zero",fontsize=16,color="green",shape="box"];28223[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat vvv1294 vvv1295) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="burlywood",shape="triangle"];31657[label="vvv1294/Succ vvv12940",fontsize=10,color="white",style="solid",shape="box"];28223 -> 31657[label="",style="solid", color="burlywood", weight=9];
31657 -> 28274[label="",style="solid", color="burlywood", weight=3];
31658[label="vvv1294/Zero",fontsize=10,color="white",style="solid",shape="box"];28223 -> 31658[label="",style="solid", color="burlywood", weight=9];
31658 -> 28275[label="",style="solid", color="burlywood", weight=3];
23202[label="primQuotInt (Neg vvv1013) (gcd0Gcd' (Pos (Succ Zero)) (Pos (Succ (Succ vvv10150)) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23202 -> 23296[label="",style="solid", color="black", weight=3];
26648[label="vvv12290",fontsize=16,color="green",shape="box"];26649[label="vvv12300",fontsize=16,color="green",shape="box"];26650 -> 22606[label="",style="dashed", color="red", weight=0];
26650[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (primModNatS (primMinusNatS (Succ vvv1227) vvv1228) (Succ vvv1228))) vvv1231) (Neg (Succ vvv1228)) (Pos (primModNatS (primMinusNatS (Succ vvv1227) vvv1228) (Succ vvv1228))))",fontsize=16,color="magenta"];26650 -> 26678[label="",style="dashed", color="magenta", weight=3];
26650 -> 26679[label="",style="dashed", color="magenta", weight=3];
26650 -> 26680[label="",style="dashed", color="magenta", weight=3];
26650 -> 26681[label="",style="dashed", color="magenta", weight=3];
26650 -> 26682[label="",style="dashed", color="magenta", weight=3];
26651[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1227))) vvv1231) (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="burlywood",shape="box"];31660[label="vvv1231/Pos vvv12310",fontsize=10,color="white",style="solid",shape="box"];26651 -> 31660[label="",style="solid", color="burlywood", weight=9];
31660 -> 26683[label="",style="solid", color="burlywood", weight=3];
31661[label="vvv1231/Neg vvv12310",fontsize=10,color="white",style="solid",shape="box"];26651 -> 31661[label="",style="solid", color="burlywood", weight=9];
31661 -> 26684[label="",style="solid", color="burlywood", weight=3];
28332[label="Succ vvv10220",fontsize=16,color="green",shape="box"];28333[label="vvv102500",fontsize=16,color="green",shape="box"];28334[label="Zero",fontsize=16,color="green",shape="box"];28335[label="Zero",fontsize=16,color="green",shape="box"];28336[label="vvv1020",fontsize=16,color="green",shape="box"];28331[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat vvv1301 vvv1302) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="burlywood",shape="triangle"];31662[label="vvv1301/Succ vvv13010",fontsize=10,color="white",style="solid",shape="box"];28331 -> 31662[label="",style="solid", color="burlywood", weight=9];
31662 -> 28382[label="",style="solid", color="burlywood", weight=3];
31663[label="vvv1301/Zero",fontsize=10,color="white",style="solid",shape="box"];28331 -> 31663[label="",style="solid", color="burlywood", weight=9];
31663 -> 28383[label="",style="solid", color="burlywood", weight=3];
23278 -> 23395[label="",style="dashed", color="red", weight=0];
23278[label="primQuotInt (Neg vvv1020) (gcd0Gcd' (Pos (Succ Zero)) (Neg (Succ (Succ vvv10220)) `rem` Pos (Succ Zero)))",fontsize=16,color="magenta"];23278 -> 23396[label="",style="dashed", color="magenta", weight=3];
23278 -> 23397[label="",style="dashed", color="magenta", weight=3];
26491[label="Succ vvv1195",fontsize=16,color="green",shape="box"];26492[label="vvv1196",fontsize=16,color="green",shape="box"];26493[label="Succ vvv1195",fontsize=16,color="green",shape="box"];26494[label="vvv1196",fontsize=16,color="green",shape="box"];26495[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 False (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="black",shape="triangle"];26495 -> 26546[label="",style="solid", color="black", weight=3];
26496[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1195))) (Neg (Succ vvv119900))) (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="black",shape="box"];26496 -> 26547[label="",style="solid", color="black", weight=3];
26497[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1195))) (Neg Zero)) (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="black",shape="box"];26497 -> 26548[label="",style="solid", color="black", weight=3];
23765 -> 28284[label="",style="dashed", color="red", weight=0];
23765[label="primQuotInt (Pos vvv1041) (gcd0Gcd'1 (Pos (Succ (Succ vvv10430)) `rem` Neg (Succ Zero) == fromInt (Pos Zero)) (Neg (Succ Zero)) (Pos (Succ (Succ vvv10430)) `rem` Neg (Succ Zero)))",fontsize=16,color="magenta"];23765 -> 28285[label="",style="dashed", color="magenta", weight=3];
23765 -> 28286[label="",style="dashed", color="magenta", weight=3];
23765 -> 28287[label="",style="dashed", color="magenta", weight=3];
23765 -> 28288[label="",style="dashed", color="magenta", weight=3];
27949[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat (Succ vvv12730) (Succ vvv12740)) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];27949 -> 27976[label="",style="solid", color="black", weight=3];
27950[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat (Succ vvv12730) Zero) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];27950 -> 27977[label="",style="solid", color="black", weight=3];
27951[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat Zero (Succ vvv12740)) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];27951 -> 27978[label="",style="solid", color="black", weight=3];
27952[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat Zero Zero) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];27952 -> 27979[label="",style="solid", color="black", weight=3];
26601[label="Succ vvv983",fontsize=16,color="green",shape="box"];26602[label="vvv982",fontsize=16,color="green",shape="box"];26603[label="Succ vvv983",fontsize=16,color="green",shape="box"];26604[label="vvv98700",fontsize=16,color="green",shape="box"];26605[label="vvv984",fontsize=16,color="green",shape="box"];22178[label="primQuotInt (Pos vvv982) (gcd0Gcd' (Pos (Succ (Succ vvv983))) (Pos (Succ vvv984) `rem` Pos (Succ (Succ vvv983))))",fontsize=16,color="black",shape="box"];22178 -> 22285[label="",style="solid", color="black", weight=3];
26757[label="vvv12370",fontsize=16,color="green",shape="box"];26758[label="vvv12380",fontsize=16,color="green",shape="box"];26759[label="primQuotInt (Pos vvv1236) (gcd0Gcd'0 (Pos (Succ vvv1239)) (Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26759 -> 26800[label="",style="solid", color="black", weight=3];
26760 -> 7805[label="",style="dashed", color="red", weight=0];
26760[label="primQuotInt (Pos vvv1236) (Pos (Succ vvv1239))",fontsize=16,color="magenta"];26760 -> 26801[label="",style="dashed", color="magenta", weight=3];
26760 -> 26802[label="",style="dashed", color="magenta", weight=3];
26868[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240)) vvv1246) (Pos (Succ vvv1240)) (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26868 -> 26875[label="",style="solid", color="black", weight=3];
26539 -> 18617[label="",style="dashed", color="red", weight=0];
26539[label="primMinusNatS (Succ vvv1206) vvv1207",fontsize=16,color="magenta"];26539 -> 26582[label="",style="dashed", color="magenta", weight=3];
26539 -> 26583[label="",style="dashed", color="magenta", weight=3];
26540 -> 18617[label="",style="dashed", color="red", weight=0];
26540[label="primMinusNatS (Succ vvv1206) vvv1207",fontsize=16,color="magenta"];26540 -> 26584[label="",style="dashed", color="magenta", weight=3];
26540 -> 26585[label="",style="dashed", color="magenta", weight=3];
26541[label="vvv1205",fontsize=16,color="green",shape="box"];26542[label="vvv1207",fontsize=16,color="green",shape="box"];26543[label="vvv1210",fontsize=16,color="green",shape="box"];26544[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1206))) (Pos vvv12100)) (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="burlywood",shape="box"];31669[label="vvv12100/Succ vvv121000",fontsize=10,color="white",style="solid",shape="box"];26544 -> 31669[label="",style="solid", color="burlywood", weight=9];
31669 -> 26586[label="",style="solid", color="burlywood", weight=3];
31670[label="vvv12100/Zero",fontsize=10,color="white",style="solid",shape="box"];26544 -> 31670[label="",style="solid", color="burlywood", weight=9];
31670 -> 26587[label="",style="solid", color="burlywood", weight=3];
26545[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1206))) (Neg vvv12100)) (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="black",shape="box"];26545 -> 26588[label="",style="solid", color="black", weight=3];
28059[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat (Succ vvv12800) vvv1281) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="burlywood",shape="box"];31671[label="vvv1281/Succ vvv12810",fontsize=10,color="white",style="solid",shape="box"];28059 -> 31671[label="",style="solid", color="burlywood", weight=9];
31671 -> 28133[label="",style="solid", color="burlywood", weight=3];
31672[label="vvv1281/Zero",fontsize=10,color="white",style="solid",shape="box"];28059 -> 31672[label="",style="solid", color="burlywood", weight=9];
31672 -> 28134[label="",style="solid", color="burlywood", weight=3];
28060[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat Zero vvv1281) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="burlywood",shape="box"];31673[label="vvv1281/Succ vvv12810",fontsize=10,color="white",style="solid",shape="box"];28060 -> 31673[label="",style="solid", color="burlywood", weight=9];
31673 -> 28135[label="",style="solid", color="burlywood", weight=3];
31674[label="vvv1281/Zero",fontsize=10,color="white",style="solid",shape="box"];28060 -> 31674[label="",style="solid", color="burlywood", weight=9];
31674 -> 28136[label="",style="solid", color="burlywood", weight=3];
23263[label="primQuotInt (Pos vvv1006) (gcd0Gcd'2 (Pos (Succ Zero)) (Neg (Succ (Succ vvv10080)) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23263 -> 23377[label="",style="solid", color="black", weight=3];
26575[label="vvv1217",fontsize=16,color="green",shape="box"];26576[label="vvv1214",fontsize=16,color="green",shape="box"];26577 -> 18617[label="",style="dashed", color="red", weight=0];
26577[label="primMinusNatS (Succ vvv1213) vvv1214",fontsize=16,color="magenta"];26577 -> 26659[label="",style="dashed", color="magenta", weight=3];
26577 -> 26660[label="",style="dashed", color="magenta", weight=3];
26578 -> 18617[label="",style="dashed", color="red", weight=0];
26578[label="primMinusNatS (Succ vvv1213) vvv1214",fontsize=16,color="magenta"];26578 -> 26661[label="",style="dashed", color="magenta", weight=3];
26578 -> 26662[label="",style="dashed", color="magenta", weight=3];
26579[label="vvv1212",fontsize=16,color="green",shape="box"];26580[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1213))) (Pos vvv12170)) (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="black",shape="box"];26580 -> 26663[label="",style="solid", color="black", weight=3];
26581[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1213))) (Neg vvv12170)) (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="burlywood",shape="box"];31677[label="vvv12170/Succ vvv121700",fontsize=10,color="white",style="solid",shape="box"];26581 -> 31677[label="",style="solid", color="burlywood", weight=9];
31677 -> 26664[label="",style="solid", color="burlywood", weight=3];
31678[label="vvv12170/Zero",fontsize=10,color="white",style="solid",shape="box"];26581 -> 31678[label="",style="solid", color="burlywood", weight=9];
31678 -> 26665[label="",style="solid", color="burlywood", weight=3];
24491[label="primQuotInt (Neg vvv1068) (gcd0Gcd'2 (Neg (Succ Zero)) (Neg (Succ (Succ vvv10700)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];24491 -> 24529[label="",style="solid", color="black", weight=3];
28131[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat (Succ vvv12860) vvv1287) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="burlywood",shape="box"];31679[label="vvv1287/Succ vvv12870",fontsize=10,color="white",style="solid",shape="box"];28131 -> 31679[label="",style="solid", color="burlywood", weight=9];
31679 -> 28160[label="",style="solid", color="burlywood", weight=3];
31680[label="vvv1287/Zero",fontsize=10,color="white",style="solid",shape="box"];28131 -> 31680[label="",style="solid", color="burlywood", weight=9];
31680 -> 28161[label="",style="solid", color="burlywood", weight=3];
28132[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat Zero vvv1287) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="burlywood",shape="box"];31681[label="vvv1287/Succ vvv12870",fontsize=10,color="white",style="solid",shape="box"];28132 -> 31681[label="",style="solid", color="burlywood", weight=9];
31681 -> 28162[label="",style="solid", color="burlywood", weight=3];
31682[label="vvv1287/Zero",fontsize=10,color="white",style="solid",shape="box"];28132 -> 31682[label="",style="solid", color="burlywood", weight=9];
31682 -> 28163[label="",style="solid", color="burlywood", weight=3];
28726[label="vvv1322",fontsize=16,color="green",shape="box"];28727 -> 18617[label="",style="dashed", color="red", weight=0];
28727[label="primMinusNatS (Succ vvv1323) vvv1324",fontsize=16,color="magenta"];28727 -> 28733[label="",style="dashed", color="magenta", weight=3];
28727 -> 28734[label="",style="dashed", color="magenta", weight=3];
28728[label="vvv1327",fontsize=16,color="green",shape="box"];28729 -> 18617[label="",style="dashed", color="red", weight=0];
28729[label="primMinusNatS (Succ vvv1323) vvv1324",fontsize=16,color="magenta"];28729 -> 28735[label="",style="dashed", color="magenta", weight=3];
28729 -> 28736[label="",style="dashed", color="magenta", weight=3];
28730[label="vvv1324",fontsize=16,color="green",shape="box"];28731[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1323))) (Pos vvv13270)) (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="black",shape="box"];28731 -> 28737[label="",style="solid", color="black", weight=3];
28732[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1323))) (Neg vvv13270)) (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="burlywood",shape="box"];31685[label="vvv13270/Succ vvv132700",fontsize=10,color="white",style="solid",shape="box"];28732 -> 31685[label="",style="solid", color="burlywood", weight=9];
31685 -> 28738[label="",style="solid", color="burlywood", weight=3];
31686[label="vvv13270/Zero",fontsize=10,color="white",style="solid",shape="box"];28732 -> 31686[label="",style="solid", color="burlywood", weight=9];
31686 -> 28739[label="",style="solid", color="burlywood", weight=3];
27569[label="primQuotInt (Pos vvv1249) (gcd0Gcd'2 (Neg (Succ Zero)) (Neg (Succ (Succ vvv12510)) `rem` Neg (Succ Zero)))",fontsize=16,color="black",shape="box"];27569 -> 27617[label="",style="solid", color="black", weight=3];
28925[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat (Succ vvv13350) vvv1336) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="burlywood",shape="box"];31687[label="vvv1336/Succ vvv13360",fontsize=10,color="white",style="solid",shape="box"];28925 -> 31687[label="",style="solid", color="burlywood", weight=9];
31687 -> 28927[label="",style="solid", color="burlywood", weight=3];
31688[label="vvv1336/Zero",fontsize=10,color="white",style="solid",shape="box"];28925 -> 31688[label="",style="solid", color="burlywood", weight=9];
31688 -> 28928[label="",style="solid", color="burlywood", weight=3];
28926[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat Zero vvv1336) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="burlywood",shape="box"];31689[label="vvv1336/Succ vvv13360",fontsize=10,color="white",style="solid",shape="box"];28926 -> 31689[label="",style="solid", color="burlywood", weight=9];
31689 -> 28929[label="",style="solid", color="burlywood", weight=3];
31690[label="vvv1336/Zero",fontsize=10,color="white",style="solid",shape="box"];28926 -> 31690[label="",style="solid", color="burlywood", weight=9];
31690 -> 28930[label="",style="solid", color="burlywood", weight=3];
26413[label="primQuotInt (Neg vvv1186) (gcd0Gcd'0 (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="black",shape="box"];26413 -> 26498[label="",style="solid", color="black", weight=3];
26414 -> 27752[label="",style="dashed", color="red", weight=0];
26414[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (primEqNat (Succ vvv1187) vvv119100) (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="magenta"];26414 -> 27758[label="",style="dashed", color="magenta", weight=3];
26414 -> 27759[label="",style="dashed", color="magenta", weight=3];
26414 -> 27760[label="",style="dashed", color="magenta", weight=3];
26414 -> 27761[label="",style="dashed", color="magenta", weight=3];
26414 -> 27762[label="",style="dashed", color="magenta", weight=3];
26415 -> 26332[label="",style="dashed", color="red", weight=0];
26415[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 False (Pos (Succ vvv1188)) (Neg (Succ (Succ vvv1187))))",fontsize=16,color="magenta"];28170[label="Zero",fontsize=16,color="green",shape="box"];28171[label="Succ vvv10300",fontsize=16,color="green",shape="box"];28172 -> 15[label="",style="dashed", color="red", weight=0];
28172[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28173[label="vvv1028",fontsize=16,color="green",shape="box"];28169[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269) == vvv1291) (Neg (Succ vvv1269)) (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269)))",fontsize=16,color="black",shape="triangle"];28169 -> 28187[label="",style="solid", color="black", weight=3];
27916 -> 27752[label="",style="dashed", color="red", weight=0];
27916[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqNat vvv12660 vvv12670) (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="magenta"];27916 -> 27953[label="",style="dashed", color="magenta", weight=3];
27916 -> 27954[label="",style="dashed", color="magenta", weight=3];
27917[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 False (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="black",shape="triangle"];27917 -> 27955[label="",style="solid", color="black", weight=3];
27918 -> 27917[label="",style="dashed", color="red", weight=0];
27918[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 False (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="magenta"];27919[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 True (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];27919 -> 27956[label="",style="solid", color="black", weight=3];
26652[label="vvv1224",fontsize=16,color="green",shape="box"];26653 -> 18617[label="",style="dashed", color="red", weight=0];
26653[label="primMinusNatS (Succ vvv1220) vvv1221",fontsize=16,color="magenta"];26653 -> 26685[label="",style="dashed", color="magenta", weight=3];
26653 -> 26686[label="",style="dashed", color="magenta", weight=3];
26654[label="vvv1221",fontsize=16,color="green",shape="box"];26655 -> 18617[label="",style="dashed", color="red", weight=0];
26655[label="primMinusNatS (Succ vvv1220) vvv1221",fontsize=16,color="magenta"];26655 -> 26687[label="",style="dashed", color="magenta", weight=3];
26655 -> 26688[label="",style="dashed", color="magenta", weight=3];
26656[label="vvv1219",fontsize=16,color="green",shape="box"];26657[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1220))) (Pos vvv12240)) (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="burlywood",shape="box"];31698[label="vvv12240/Succ vvv122400",fontsize=10,color="white",style="solid",shape="box"];26657 -> 31698[label="",style="solid", color="burlywood", weight=9];
31698 -> 26689[label="",style="solid", color="burlywood", weight=3];
31699[label="vvv12240/Zero",fontsize=10,color="white",style="solid",shape="box"];26657 -> 31699[label="",style="solid", color="burlywood", weight=9];
31699 -> 26690[label="",style="solid", color="burlywood", weight=3];
26658[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1220))) (Neg vvv12240)) (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="black",shape="box"];26658 -> 26691[label="",style="solid", color="black", weight=3];
28274[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat (Succ vvv12940) vvv1295) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="burlywood",shape="box"];31700[label="vvv1295/Succ vvv12950",fontsize=10,color="white",style="solid",shape="box"];28274 -> 31700[label="",style="solid", color="burlywood", weight=9];
31700 -> 28302[label="",style="solid", color="burlywood", weight=3];
31701[label="vvv1295/Zero",fontsize=10,color="white",style="solid",shape="box"];28274 -> 31701[label="",style="solid", color="burlywood", weight=9];
31701 -> 28303[label="",style="solid", color="burlywood", weight=3];
28275[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat Zero vvv1295) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="burlywood",shape="box"];31702[label="vvv1295/Succ vvv12950",fontsize=10,color="white",style="solid",shape="box"];28275 -> 31702[label="",style="solid", color="burlywood", weight=9];
31702 -> 28304[label="",style="solid", color="burlywood", weight=3];
31703[label="vvv1295/Zero",fontsize=10,color="white",style="solid",shape="box"];28275 -> 31703[label="",style="solid", color="burlywood", weight=9];
31703 -> 28305[label="",style="solid", color="burlywood", weight=3];
23296[label="primQuotInt (Neg vvv1013) (gcd0Gcd'2 (Pos (Succ Zero)) (Pos (Succ (Succ vvv10150)) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23296 -> 23465[label="",style="solid", color="black", weight=3];
26678 -> 18617[label="",style="dashed", color="red", weight=0];
26678[label="primMinusNatS (Succ vvv1227) vvv1228",fontsize=16,color="magenta"];26678 -> 26739[label="",style="dashed", color="magenta", weight=3];
26678 -> 26740[label="",style="dashed", color="magenta", weight=3];
26679[label="vvv1228",fontsize=16,color="green",shape="box"];26680 -> 18617[label="",style="dashed", color="red", weight=0];
26680[label="primMinusNatS (Succ vvv1227) vvv1228",fontsize=16,color="magenta"];26680 -> 26741[label="",style="dashed", color="magenta", weight=3];
26680 -> 26742[label="",style="dashed", color="magenta", weight=3];
26681[label="vvv1226",fontsize=16,color="green",shape="box"];26682[label="vvv1231",fontsize=16,color="green",shape="box"];26683[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1227))) (Pos vvv12310)) (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="burlywood",shape="box"];31706[label="vvv12310/Succ vvv123100",fontsize=10,color="white",style="solid",shape="box"];26683 -> 31706[label="",style="solid", color="burlywood", weight=9];
31706 -> 26743[label="",style="solid", color="burlywood", weight=3];
31707[label="vvv12310/Zero",fontsize=10,color="white",style="solid",shape="box"];26683 -> 31707[label="",style="solid", color="burlywood", weight=9];
31707 -> 26744[label="",style="solid", color="burlywood", weight=3];
26684[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1227))) (Neg vvv12310)) (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="black",shape="box"];26684 -> 26745[label="",style="solid", color="black", weight=3];
28382[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat (Succ vvv13010) vvv1302) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="burlywood",shape="box"];31708[label="vvv1302/Succ vvv13020",fontsize=10,color="white",style="solid",shape="box"];28382 -> 31708[label="",style="solid", color="burlywood", weight=9];
31708 -> 28410[label="",style="solid", color="burlywood", weight=3];
31709[label="vvv1302/Zero",fontsize=10,color="white",style="solid",shape="box"];28382 -> 31709[label="",style="solid", color="burlywood", weight=9];
31709 -> 28411[label="",style="solid", color="burlywood", weight=3];
28383[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat Zero vvv1302) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="burlywood",shape="box"];31710[label="vvv1302/Succ vvv13020",fontsize=10,color="white",style="solid",shape="box"];28383 -> 31710[label="",style="solid", color="burlywood", weight=9];
31710 -> 28412[label="",style="solid", color="burlywood", weight=3];
31711[label="vvv1302/Zero",fontsize=10,color="white",style="solid",shape="box"];28383 -> 31711[label="",style="solid", color="burlywood", weight=9];
31711 -> 28413[label="",style="solid", color="burlywood", weight=3];
23396[label="vvv1020",fontsize=16,color="green",shape="box"];23397[label="Succ vvv10220",fontsize=16,color="green",shape="box"];23395[label="primQuotInt (Neg vvv1060) (gcd0Gcd' (Pos (Succ Zero)) (Neg (Succ vvv1061) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="triangle"];23395 -> 23475[label="",style="solid", color="black", weight=3];
26546[label="primQuotInt (Pos vvv1194) (gcd0Gcd'0 (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="black",shape="box"];26546 -> 26589[label="",style="solid", color="black", weight=3];
26547 -> 27863[label="",style="dashed", color="red", weight=0];
26547[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (primEqNat (Succ vvv1195) vvv119900) (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="magenta"];26547 -> 27869[label="",style="dashed", color="magenta", weight=3];
26547 -> 27870[label="",style="dashed", color="magenta", weight=3];
26547 -> 27871[label="",style="dashed", color="magenta", weight=3];
26547 -> 27872[label="",style="dashed", color="magenta", weight=3];
26547 -> 27873[label="",style="dashed", color="magenta", weight=3];
26548 -> 26495[label="",style="dashed", color="red", weight=0];
26548[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 False (Pos (Succ vvv1196)) (Neg (Succ (Succ vvv1195))))",fontsize=16,color="magenta"];28285 -> 15[label="",style="dashed", color="red", weight=0];
28285[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28286[label="Succ vvv10430",fontsize=16,color="green",shape="box"];28287[label="Zero",fontsize=16,color="green",shape="box"];28288[label="vvv1041",fontsize=16,color="green",shape="box"];28284[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276) == vvv1298) (Neg (Succ vvv1276)) (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276)))",fontsize=16,color="black",shape="triangle"];28284 -> 28306[label="",style="solid", color="black", weight=3];
27976 -> 27863[label="",style="dashed", color="red", weight=0];
27976[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqNat vvv12730 vvv12740) (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="magenta"];27976 -> 28061[label="",style="dashed", color="magenta", weight=3];
27976 -> 28062[label="",style="dashed", color="magenta", weight=3];
27977[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 False (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="black",shape="triangle"];27977 -> 28063[label="",style="solid", color="black", weight=3];
27978 -> 27977[label="",style="dashed", color="red", weight=0];
27978[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 False (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="magenta"];27979[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 True (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];27979 -> 28064[label="",style="solid", color="black", weight=3];
22285[label="primQuotInt (Pos vvv982) (gcd0Gcd'2 (Pos (Succ (Succ vvv983))) (Pos (Succ vvv984) `rem` Pos (Succ (Succ vvv983))))",fontsize=16,color="black",shape="box"];22285 -> 22355[label="",style="solid", color="black", weight=3];
26800[label="primQuotInt (Pos vvv1236) (gcd0Gcd' (Pos (Succ vvv1240)) (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26800 -> 26822[label="",style="solid", color="black", weight=3];
26801[label="vvv1239",fontsize=16,color="green",shape="box"];26802[label="vvv1236",fontsize=16,color="green",shape="box"];26875 -> 8805[label="",style="dashed", color="red", weight=0];
26875[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv1239)) (Pos (Succ vvv1240))) vvv1246) (Pos (Succ vvv1240)) (primRemInt (Pos (Succ vvv1239)) (Pos (Succ vvv1240))))",fontsize=16,color="magenta"];26875 -> 26983[label="",style="dashed", color="magenta", weight=3];
26875 -> 26984[label="",style="dashed", color="magenta", weight=3];
26875 -> 26985[label="",style="dashed", color="magenta", weight=3];
26875 -> 26986[label="",style="dashed", color="magenta", weight=3];
26582[label="Succ vvv1206",fontsize=16,color="green",shape="box"];26583[label="vvv1207",fontsize=16,color="green",shape="box"];26584[label="Succ vvv1206",fontsize=16,color="green",shape="box"];26585[label="vvv1207",fontsize=16,color="green",shape="box"];26586[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1206))) (Pos (Succ vvv121000))) (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="black",shape="box"];26586 -> 26666[label="",style="solid", color="black", weight=3];
26587[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1206))) (Pos Zero)) (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="black",shape="box"];26587 -> 26667[label="",style="solid", color="black", weight=3];
26588[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 False (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="black",shape="triangle"];26588 -> 26668[label="",style="solid", color="black", weight=3];
28133[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat (Succ vvv12800) (Succ vvv12810)) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28133 -> 28164[label="",style="solid", color="black", weight=3];
28134[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat (Succ vvv12800) Zero) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28134 -> 28165[label="",style="solid", color="black", weight=3];
28135[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat Zero (Succ vvv12810)) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28135 -> 28166[label="",style="solid", color="black", weight=3];
28136[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat Zero Zero) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28136 -> 28167[label="",style="solid", color="black", weight=3];
23377 -> 28423[label="",style="dashed", color="red", weight=0];
23377[label="primQuotInt (Pos vvv1006) (gcd0Gcd'1 (Neg (Succ (Succ vvv10080)) `rem` Pos (Succ Zero) == fromInt (Pos Zero)) (Pos (Succ Zero)) (Neg (Succ (Succ vvv10080)) `rem` Pos (Succ Zero)))",fontsize=16,color="magenta"];23377 -> 28424[label="",style="dashed", color="magenta", weight=3];
23377 -> 28425[label="",style="dashed", color="magenta", weight=3];
23377 -> 28426[label="",style="dashed", color="magenta", weight=3];
23377 -> 28427[label="",style="dashed", color="magenta", weight=3];
26659[label="Succ vvv1213",fontsize=16,color="green",shape="box"];26660[label="vvv1214",fontsize=16,color="green",shape="box"];26661[label="Succ vvv1213",fontsize=16,color="green",shape="box"];26662[label="vvv1214",fontsize=16,color="green",shape="box"];26663[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 False (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="black",shape="triangle"];26663 -> 26692[label="",style="solid", color="black", weight=3];
26664[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1213))) (Neg (Succ vvv121700))) (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="black",shape="box"];26664 -> 26693[label="",style="solid", color="black", weight=3];
26665[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1213))) (Neg Zero)) (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="black",shape="box"];26665 -> 26694[label="",style="solid", color="black", weight=3];
24529 -> 28449[label="",style="dashed", color="red", weight=0];
24529[label="primQuotInt (Neg vvv1068) (gcd0Gcd'1 (Neg (Succ (Succ vvv10700)) `rem` Neg (Succ Zero) == fromInt (Pos Zero)) (Neg (Succ Zero)) (Neg (Succ (Succ vvv10700)) `rem` Neg (Succ Zero)))",fontsize=16,color="magenta"];24529 -> 28450[label="",style="dashed", color="magenta", weight=3];
24529 -> 28451[label="",style="dashed", color="magenta", weight=3];
24529 -> 28452[label="",style="dashed", color="magenta", weight=3];
24529 -> 28453[label="",style="dashed", color="magenta", weight=3];
28160[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat (Succ vvv12860) (Succ vvv12870)) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28160 -> 28188[label="",style="solid", color="black", weight=3];
28161[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat (Succ vvv12860) Zero) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28161 -> 28189[label="",style="solid", color="black", weight=3];
28162[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat Zero (Succ vvv12870)) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28162 -> 28190[label="",style="solid", color="black", weight=3];
28163[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat Zero Zero) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28163 -> 28191[label="",style="solid", color="black", weight=3];
28733[label="Succ vvv1323",fontsize=16,color="green",shape="box"];28734[label="vvv1324",fontsize=16,color="green",shape="box"];28735[label="Succ vvv1323",fontsize=16,color="green",shape="box"];28736[label="vvv1324",fontsize=16,color="green",shape="box"];28737[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 False (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="black",shape="triangle"];28737 -> 28740[label="",style="solid", color="black", weight=3];
28738[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1323))) (Neg (Succ vvv132700))) (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="black",shape="box"];28738 -> 28741[label="",style="solid", color="black", weight=3];
28739[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqInt (Neg (Succ (Succ vvv1323))) (Neg Zero)) (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="black",shape="box"];28739 -> 28742[label="",style="solid", color="black", weight=3];
27617 -> 28944[label="",style="dashed", color="red", weight=0];
27617[label="primQuotInt (Pos vvv1249) (gcd0Gcd'1 (Neg (Succ (Succ vvv12510)) `rem` Neg (Succ Zero) == fromInt (Pos Zero)) (Neg (Succ Zero)) (Neg (Succ (Succ vvv12510)) `rem` Neg (Succ Zero)))",fontsize=16,color="magenta"];27617 -> 28945[label="",style="dashed", color="magenta", weight=3];
27617 -> 28946[label="",style="dashed", color="magenta", weight=3];
27617 -> 28947[label="",style="dashed", color="magenta", weight=3];
27617 -> 28948[label="",style="dashed", color="magenta", weight=3];
28927[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat (Succ vvv13350) (Succ vvv13360)) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28927 -> 28931[label="",style="solid", color="black", weight=3];
28928[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat (Succ vvv13350) Zero) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28928 -> 28932[label="",style="solid", color="black", weight=3];
28929[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat Zero (Succ vvv13360)) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28929 -> 28933[label="",style="solid", color="black", weight=3];
28930[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat Zero Zero) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28930 -> 28934[label="",style="solid", color="black", weight=3];
26498[label="primQuotInt (Neg vvv1186) (gcd0Gcd' (Neg (Succ (Succ vvv1187))) (Pos (Succ vvv1188) `rem` Neg (Succ (Succ vvv1187))))",fontsize=16,color="black",shape="box"];26498 -> 26549[label="",style="solid", color="black", weight=3];
27758[label="Succ vvv1187",fontsize=16,color="green",shape="box"];27759[label="vvv1188",fontsize=16,color="green",shape="box"];27760[label="vvv119100",fontsize=16,color="green",shape="box"];27761[label="Succ vvv1187",fontsize=16,color="green",shape="box"];27762[label="vvv1186",fontsize=16,color="green",shape="box"];28187[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269)) vvv1291) (Neg (Succ vvv1269)) (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];28187 -> 28276[label="",style="solid", color="black", weight=3];
27953[label="vvv12670",fontsize=16,color="green",shape="box"];27954[label="vvv12660",fontsize=16,color="green",shape="box"];27955[label="primQuotInt (Neg vvv1265) (gcd0Gcd'0 (Pos (Succ vvv1268)) (Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];27955 -> 27980[label="",style="solid", color="black", weight=3];
27956 -> 7966[label="",style="dashed", color="red", weight=0];
27956[label="primQuotInt (Neg vvv1265) (Pos (Succ vvv1268))",fontsize=16,color="magenta"];27956 -> 27981[label="",style="dashed", color="magenta", weight=3];
27956 -> 27982[label="",style="dashed", color="magenta", weight=3];
26685[label="Succ vvv1220",fontsize=16,color="green",shape="box"];26686[label="vvv1221",fontsize=16,color="green",shape="box"];26687[label="Succ vvv1220",fontsize=16,color="green",shape="box"];26688[label="vvv1221",fontsize=16,color="green",shape="box"];26689[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1220))) (Pos (Succ vvv122400))) (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="black",shape="box"];26689 -> 26746[label="",style="solid", color="black", weight=3];
26690[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1220))) (Pos Zero)) (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="black",shape="box"];26690 -> 26747[label="",style="solid", color="black", weight=3];
26691[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 False (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="black",shape="triangle"];26691 -> 26748[label="",style="solid", color="black", weight=3];
28302[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat (Succ vvv12940) (Succ vvv12950)) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28302 -> 28384[label="",style="solid", color="black", weight=3];
28303[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat (Succ vvv12940) Zero) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28303 -> 28385[label="",style="solid", color="black", weight=3];
28304[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat Zero (Succ vvv12950)) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28304 -> 28386[label="",style="solid", color="black", weight=3];
28305[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat Zero Zero) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28305 -> 28387[label="",style="solid", color="black", weight=3];
23465 -> 28525[label="",style="dashed", color="red", weight=0];
23465[label="primQuotInt (Neg vvv1013) (gcd0Gcd'1 (Pos (Succ (Succ vvv10150)) `rem` Pos (Succ Zero) == fromInt (Pos Zero)) (Pos (Succ Zero)) (Pos (Succ (Succ vvv10150)) `rem` Pos (Succ Zero)))",fontsize=16,color="magenta"];23465 -> 28526[label="",style="dashed", color="magenta", weight=3];
23465 -> 28527[label="",style="dashed", color="magenta", weight=3];
23465 -> 28528[label="",style="dashed", color="magenta", weight=3];
23465 -> 28529[label="",style="dashed", color="magenta", weight=3];
26739[label="Succ vvv1227",fontsize=16,color="green",shape="box"];26740[label="vvv1228",fontsize=16,color="green",shape="box"];26741[label="Succ vvv1227",fontsize=16,color="green",shape="box"];26742[label="vvv1228",fontsize=16,color="green",shape="box"];26743[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1227))) (Pos (Succ vvv123100))) (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="black",shape="box"];26743 -> 26761[label="",style="solid", color="black", weight=3];
26744[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqInt (Pos (Succ (Succ vvv1227))) (Pos Zero)) (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="black",shape="box"];26744 -> 26762[label="",style="solid", color="black", weight=3];
26745[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 False (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="black",shape="triangle"];26745 -> 26763[label="",style="solid", color="black", weight=3];
28410[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat (Succ vvv13010) (Succ vvv13020)) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28410 -> 28441[label="",style="solid", color="black", weight=3];
28411[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat (Succ vvv13010) Zero) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28411 -> 28442[label="",style="solid", color="black", weight=3];
28412[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat Zero (Succ vvv13020)) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28412 -> 28443[label="",style="solid", color="black", weight=3];
28413[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat Zero Zero) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28413 -> 28444[label="",style="solid", color="black", weight=3];
23475[label="primQuotInt (Neg vvv1060) (gcd0Gcd'2 (Pos (Succ Zero)) (Neg (Succ vvv1061) `rem` Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];23475 -> 23645[label="",style="solid", color="black", weight=3];
26589[label="primQuotInt (Pos vvv1194) (gcd0Gcd' (Neg (Succ (Succ vvv1195))) (Pos (Succ vvv1196) `rem` Neg (Succ (Succ vvv1195))))",fontsize=16,color="black",shape="box"];26589 -> 26669[label="",style="solid", color="black", weight=3];
27869[label="vvv1196",fontsize=16,color="green",shape="box"];27870[label="Succ vvv1195",fontsize=16,color="green",shape="box"];27871[label="vvv119900",fontsize=16,color="green",shape="box"];27872[label="vvv1194",fontsize=16,color="green",shape="box"];27873[label="Succ vvv1195",fontsize=16,color="green",shape="box"];28306[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276)) vvv1298) (Neg (Succ vvv1276)) (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];28306 -> 28388[label="",style="solid", color="black", weight=3];
28061[label="vvv12740",fontsize=16,color="green",shape="box"];28062[label="vvv12730",fontsize=16,color="green",shape="box"];28063[label="primQuotInt (Pos vvv1272) (gcd0Gcd'0 (Pos (Succ vvv1275)) (Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];28063 -> 28137[label="",style="solid", color="black", weight=3];
28064 -> 7805[label="",style="dashed", color="red", weight=0];
28064[label="primQuotInt (Pos vvv1272) (Pos (Succ vvv1275))",fontsize=16,color="magenta"];28064 -> 28138[label="",style="dashed", color="magenta", weight=3];
28064 -> 28139[label="",style="dashed", color="magenta", weight=3];
22355 -> 26850[label="",style="dashed", color="red", weight=0];
22355[label="primQuotInt (Pos vvv982) (gcd0Gcd'1 (Pos (Succ vvv984) `rem` Pos (Succ (Succ vvv983)) == fromInt (Pos Zero)) (Pos (Succ (Succ vvv983))) (Pos (Succ vvv984) `rem` Pos (Succ (Succ vvv983))))",fontsize=16,color="magenta"];22355 -> 26859[label="",style="dashed", color="magenta", weight=3];
22355 -> 26860[label="",style="dashed", color="magenta", weight=3];
22355 -> 26861[label="",style="dashed", color="magenta", weight=3];
22355 -> 26862[label="",style="dashed", color="magenta", weight=3];
26822[label="primQuotInt (Pos vvv1236) (gcd0Gcd'2 (Pos (Succ vvv1240)) (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240)))",fontsize=16,color="black",shape="box"];26822 -> 26831[label="",style="solid", color="black", weight=3];
26983[label="vvv1246",fontsize=16,color="green",shape="box"];26984[label="vvv1239",fontsize=16,color="green",shape="box"];26985[label="vvv1236",fontsize=16,color="green",shape="box"];26986[label="vvv1240",fontsize=16,color="green",shape="box"];26666 -> 28008[label="",style="dashed", color="red", weight=0];
26666[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (primEqNat (Succ vvv1206) vvv121000) (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="magenta"];26666 -> 28014[label="",style="dashed", color="magenta", weight=3];
26666 -> 28015[label="",style="dashed", color="magenta", weight=3];
26666 -> 28016[label="",style="dashed", color="magenta", weight=3];
26666 -> 28017[label="",style="dashed", color="magenta", weight=3];
26666 -> 28018[label="",style="dashed", color="magenta", weight=3];
26667 -> 26588[label="",style="dashed", color="red", weight=0];
26667[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 False (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="magenta"];26668[label="primQuotInt (Pos vvv1205) (gcd0Gcd'0 (Neg (Succ vvv1207)) (Pos (Succ (Succ vvv1206))))",fontsize=16,color="black",shape="box"];26668 -> 26697[label="",style="solid", color="black", weight=3];
28164 -> 28008[label="",style="dashed", color="red", weight=0];
28164[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqNat vvv12800 vvv12810) (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="magenta"];28164 -> 28192[label="",style="dashed", color="magenta", weight=3];
28164 -> 28193[label="",style="dashed", color="magenta", weight=3];
28165[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 False (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="black",shape="triangle"];28165 -> 28194[label="",style="solid", color="black", weight=3];
28166 -> 28165[label="",style="dashed", color="red", weight=0];
28166[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 False (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="magenta"];28167[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 True (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28167 -> 28195[label="",style="solid", color="black", weight=3];
28424[label="vvv1006",fontsize=16,color="green",shape="box"];28425 -> 15[label="",style="dashed", color="red", weight=0];
28425[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28426[label="Succ vvv10080",fontsize=16,color="green",shape="box"];28427[label="Zero",fontsize=16,color="green",shape="box"];28423[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283) == vvv1306) (Pos (Succ vvv1283)) (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283)))",fontsize=16,color="black",shape="triangle"];28423 -> 28445[label="",style="solid", color="black", weight=3];
26692[label="primQuotInt (Neg vvv1212) (gcd0Gcd'0 (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="black",shape="box"];26692 -> 26749[label="",style="solid", color="black", weight=3];
26693 -> 28080[label="",style="dashed", color="red", weight=0];
26693[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (primEqNat (Succ vvv1213) vvv121700) (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="magenta"];26693 -> 28086[label="",style="dashed", color="magenta", weight=3];
26693 -> 28087[label="",style="dashed", color="magenta", weight=3];
26693 -> 28088[label="",style="dashed", color="magenta", weight=3];
26693 -> 28089[label="",style="dashed", color="magenta", weight=3];
26693 -> 28090[label="",style="dashed", color="magenta", weight=3];
26694 -> 26663[label="",style="dashed", color="red", weight=0];
26694[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 False (Neg (Succ vvv1214)) (Neg (Succ (Succ vvv1213))))",fontsize=16,color="magenta"];28450[label="Succ vvv10700",fontsize=16,color="green",shape="box"];28451[label="Zero",fontsize=16,color="green",shape="box"];28452[label="vvv1068",fontsize=16,color="green",shape="box"];28453 -> 15[label="",style="dashed", color="red", weight=0];
28453[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28449[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289) == vvv1307) (Neg (Succ vvv1289)) (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289)))",fontsize=16,color="black",shape="triangle"];28449 -> 28467[label="",style="solid", color="black", weight=3];
28188 -> 28080[label="",style="dashed", color="red", weight=0];
28188[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqNat vvv12860 vvv12870) (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="magenta"];28188 -> 28277[label="",style="dashed", color="magenta", weight=3];
28188 -> 28278[label="",style="dashed", color="magenta", weight=3];
28189[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 False (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="black",shape="triangle"];28189 -> 28279[label="",style="solid", color="black", weight=3];
28190 -> 28189[label="",style="dashed", color="red", weight=0];
28190[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 False (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="magenta"];28191[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 True (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28191 -> 28280[label="",style="solid", color="black", weight=3];
28740[label="primQuotInt (Pos vvv1322) (gcd0Gcd'0 (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="black",shape="box"];28740 -> 28743[label="",style="solid", color="black", weight=3];
28741 -> 28874[label="",style="dashed", color="red", weight=0];
28741[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (primEqNat (Succ vvv1323) vvv132700) (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="magenta"];28741 -> 28880[label="",style="dashed", color="magenta", weight=3];
28741 -> 28881[label="",style="dashed", color="magenta", weight=3];
28741 -> 28882[label="",style="dashed", color="magenta", weight=3];
28741 -> 28883[label="",style="dashed", color="magenta", weight=3];
28741 -> 28884[label="",style="dashed", color="magenta", weight=3];
28742 -> 28737[label="",style="dashed", color="red", weight=0];
28742[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 False (Neg (Succ vvv1324)) (Neg (Succ (Succ vvv1323))))",fontsize=16,color="magenta"];28945[label="Zero",fontsize=16,color="green",shape="box"];28946[label="Succ vvv12510",fontsize=16,color="green",shape="box"];28947 -> 15[label="",style="dashed", color="red", weight=0];
28947[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28948[label="vvv1249",fontsize=16,color="green",shape="box"];28944[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338) == vvv1339) (Neg (Succ vvv1338)) (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338)))",fontsize=16,color="black",shape="triangle"];28944 -> 28962[label="",style="solid", color="black", weight=3];
28931 -> 28874[label="",style="dashed", color="red", weight=0];
28931[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqNat vvv13350 vvv13360) (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="magenta"];28931 -> 28935[label="",style="dashed", color="magenta", weight=3];
28931 -> 28936[label="",style="dashed", color="magenta", weight=3];
28932[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 False (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="black",shape="triangle"];28932 -> 28937[label="",style="solid", color="black", weight=3];
28933 -> 28932[label="",style="dashed", color="red", weight=0];
28933[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 False (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="magenta"];28934[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 True (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28934 -> 28938[label="",style="solid", color="black", weight=3];
26549[label="primQuotInt (Neg vvv1186) (gcd0Gcd'2 (Neg (Succ (Succ vvv1187))) (Pos (Succ vvv1188) `rem` Neg (Succ (Succ vvv1187))))",fontsize=16,color="black",shape="box"];26549 -> 26592[label="",style="solid", color="black", weight=3];
28276 -> 13044[label="",style="dashed", color="red", weight=0];
28276[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv1268)) (Neg (Succ vvv1269))) vvv1291) (Neg (Succ vvv1269)) (primRemInt (Pos (Succ vvv1268)) (Neg (Succ vvv1269))))",fontsize=16,color="magenta"];28276 -> 28307[label="",style="dashed", color="magenta", weight=3];
28276 -> 28308[label="",style="dashed", color="magenta", weight=3];
28276 -> 28309[label="",style="dashed", color="magenta", weight=3];
28276 -> 28310[label="",style="dashed", color="magenta", weight=3];
27980[label="primQuotInt (Neg vvv1265) (gcd0Gcd' (Neg (Succ vvv1269)) (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];27980 -> 28065[label="",style="solid", color="black", weight=3];
27981[label="vvv1265",fontsize=16,color="green",shape="box"];27982[label="vvv1268",fontsize=16,color="green",shape="box"];26746 -> 28223[label="",style="dashed", color="red", weight=0];
26746[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (primEqNat (Succ vvv1220) vvv122400) (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="magenta"];26746 -> 28229[label="",style="dashed", color="magenta", weight=3];
26746 -> 28230[label="",style="dashed", color="magenta", weight=3];
26746 -> 28231[label="",style="dashed", color="magenta", weight=3];
26746 -> 28232[label="",style="dashed", color="magenta", weight=3];
26746 -> 28233[label="",style="dashed", color="magenta", weight=3];
26747 -> 26691[label="",style="dashed", color="red", weight=0];
26747[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 False (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="magenta"];26748[label="primQuotInt (Neg vvv1219) (gcd0Gcd'0 (Pos (Succ vvv1221)) (Pos (Succ (Succ vvv1220))))",fontsize=16,color="black",shape="box"];26748 -> 26766[label="",style="solid", color="black", weight=3];
28384 -> 28223[label="",style="dashed", color="red", weight=0];
28384[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqNat vvv12940 vvv12950) (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="magenta"];28384 -> 28414[label="",style="dashed", color="magenta", weight=3];
28384 -> 28415[label="",style="dashed", color="magenta", weight=3];
28385[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 False (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="black",shape="triangle"];28385 -> 28416[label="",style="solid", color="black", weight=3];
28386 -> 28385[label="",style="dashed", color="red", weight=0];
28386[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 False (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="magenta"];28387[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 True (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28387 -> 28417[label="",style="solid", color="black", weight=3];
28526[label="Succ vvv10150",fontsize=16,color="green",shape="box"];28527 -> 15[label="",style="dashed", color="red", weight=0];
28527[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28528[label="vvv1013",fontsize=16,color="green",shape="box"];28529[label="Zero",fontsize=16,color="green",shape="box"];28525[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297) == vvv1314) (Pos (Succ vvv1297)) (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297)))",fontsize=16,color="black",shape="triangle"];28525 -> 28543[label="",style="solid", color="black", weight=3];
26761 -> 28331[label="",style="dashed", color="red", weight=0];
26761[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (primEqNat (Succ vvv1227) vvv123100) (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="magenta"];26761 -> 28337[label="",style="dashed", color="magenta", weight=3];
26761 -> 28338[label="",style="dashed", color="magenta", weight=3];
26761 -> 28339[label="",style="dashed", color="magenta", weight=3];
26761 -> 28340[label="",style="dashed", color="magenta", weight=3];
26761 -> 28341[label="",style="dashed", color="magenta", weight=3];
26762 -> 26745[label="",style="dashed", color="red", weight=0];
26762[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 False (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="magenta"];26763[label="primQuotInt (Neg vvv1226) (gcd0Gcd'0 (Neg (Succ vvv1228)) (Pos (Succ (Succ vvv1227))))",fontsize=16,color="black",shape="box"];26763 -> 26805[label="",style="solid", color="black", weight=3];
28441 -> 28331[label="",style="dashed", color="red", weight=0];
28441[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqNat vvv13010 vvv13020) (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="magenta"];28441 -> 28468[label="",style="dashed", color="magenta", weight=3];
28441 -> 28469[label="",style="dashed", color="magenta", weight=3];
28442[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 False (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="black",shape="triangle"];28442 -> 28470[label="",style="solid", color="black", weight=3];
28443 -> 28442[label="",style="dashed", color="red", weight=0];
28443[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 False (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="magenta"];28444[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 True (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28444 -> 28471[label="",style="solid", color="black", weight=3];
23645 -> 28551[label="",style="dashed", color="red", weight=0];
23645[label="primQuotInt (Neg vvv1060) (gcd0Gcd'1 (Neg (Succ vvv1061) `rem` Pos (Succ Zero) == fromInt (Pos Zero)) (Pos (Succ Zero)) (Neg (Succ vvv1061) `rem` Pos (Succ Zero)))",fontsize=16,color="magenta"];23645 -> 28552[label="",style="dashed", color="magenta", weight=3];
23645 -> 28553[label="",style="dashed", color="magenta", weight=3];
23645 -> 28554[label="",style="dashed", color="magenta", weight=3];
23645 -> 28555[label="",style="dashed", color="magenta", weight=3];
26669[label="primQuotInt (Pos vvv1194) (gcd0Gcd'2 (Neg (Succ (Succ vvv1195))) (Pos (Succ vvv1196) `rem` Neg (Succ (Succ vvv1195))))",fontsize=16,color="black",shape="box"];26669 -> 26698[label="",style="solid", color="black", weight=3];
28388 -> 13007[label="",style="dashed", color="red", weight=0];
28388[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv1275)) (Neg (Succ vvv1276))) vvv1298) (Neg (Succ vvv1276)) (primRemInt (Pos (Succ vvv1275)) (Neg (Succ vvv1276))))",fontsize=16,color="magenta"];28388 -> 28418[label="",style="dashed", color="magenta", weight=3];
28388 -> 28419[label="",style="dashed", color="magenta", weight=3];
28388 -> 28420[label="",style="dashed", color="magenta", weight=3];
28388 -> 28421[label="",style="dashed", color="magenta", weight=3];
28137[label="primQuotInt (Pos vvv1272) (gcd0Gcd' (Neg (Succ vvv1276)) (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];28137 -> 28168[label="",style="solid", color="black", weight=3];
28138[label="vvv1275",fontsize=16,color="green",shape="box"];28139[label="vvv1272",fontsize=16,color="green",shape="box"];26859 -> 15[label="",style="dashed", color="red", weight=0];
26859[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];26860[label="vvv982",fontsize=16,color="green",shape="box"];26861[label="Succ vvv983",fontsize=16,color="green",shape="box"];26862[label="vvv984",fontsize=16,color="green",shape="box"];26831 -> 26850[label="",style="dashed", color="red", weight=0];
26831[label="primQuotInt (Pos vvv1236) (gcd0Gcd'1 (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240) == fromInt (Pos Zero)) (Pos (Succ vvv1240)) (Pos (Succ vvv1239) `rem` Pos (Succ vvv1240)))",fontsize=16,color="magenta"];26831 -> 26867[label="",style="dashed", color="magenta", weight=3];
28014[label="vvv1205",fontsize=16,color="green",shape="box"];28015[label="Succ vvv1206",fontsize=16,color="green",shape="box"];28016[label="vvv1207",fontsize=16,color="green",shape="box"];28017[label="vvv121000",fontsize=16,color="green",shape="box"];28018[label="Succ vvv1206",fontsize=16,color="green",shape="box"];26697[label="primQuotInt (Pos vvv1205) (gcd0Gcd' (Pos (Succ (Succ vvv1206))) (Neg (Succ vvv1207) `rem` Pos (Succ (Succ vvv1206))))",fontsize=16,color="black",shape="box"];26697 -> 26754[label="",style="solid", color="black", weight=3];
28192[label="vvv12800",fontsize=16,color="green",shape="box"];28193[label="vvv12810",fontsize=16,color="green",shape="box"];28194[label="primQuotInt (Pos vvv1279) (gcd0Gcd'0 (Neg (Succ vvv1282)) (Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28194 -> 28281[label="",style="solid", color="black", weight=3];
28195 -> 13583[label="",style="dashed", color="red", weight=0];
28195[label="primQuotInt (Pos vvv1279) (Neg (Succ vvv1282))",fontsize=16,color="magenta"];28195 -> 28282[label="",style="dashed", color="magenta", weight=3];
28195 -> 28283[label="",style="dashed", color="magenta", weight=3];
28445[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283)) vvv1306) (Pos (Succ vvv1283)) (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28445 -> 28472[label="",style="solid", color="black", weight=3];
26749[label="primQuotInt (Neg vvv1212) (gcd0Gcd' (Neg (Succ (Succ vvv1213))) (Neg (Succ vvv1214) `rem` Neg (Succ (Succ vvv1213))))",fontsize=16,color="black",shape="box"];26749 -> 26767[label="",style="solid", color="black", weight=3];
28086[label="vvv1214",fontsize=16,color="green",shape="box"];28087[label="Succ vvv1213",fontsize=16,color="green",shape="box"];28088[label="vvv121700",fontsize=16,color="green",shape="box"];28089[label="Succ vvv1213",fontsize=16,color="green",shape="box"];28090[label="vvv1212",fontsize=16,color="green",shape="box"];28467[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289)) vvv1307) (Neg (Succ vvv1289)) (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28467 -> 28501[label="",style="solid", color="black", weight=3];
28277[label="vvv12870",fontsize=16,color="green",shape="box"];28278[label="vvv12860",fontsize=16,color="green",shape="box"];28279[label="primQuotInt (Neg vvv1285) (gcd0Gcd'0 (Neg (Succ vvv1288)) (Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28279 -> 28311[label="",style="solid", color="black", weight=3];
28280 -> 13605[label="",style="dashed", color="red", weight=0];
28280[label="primQuotInt (Neg vvv1285) (Neg (Succ vvv1288))",fontsize=16,color="magenta"];28280 -> 28312[label="",style="dashed", color="magenta", weight=3];
28280 -> 28313[label="",style="dashed", color="magenta", weight=3];
28743[label="primQuotInt (Pos vvv1322) (gcd0Gcd' (Neg (Succ (Succ vvv1323))) (Neg (Succ vvv1324) `rem` Neg (Succ (Succ vvv1323))))",fontsize=16,color="black",shape="box"];28743 -> 28746[label="",style="solid", color="black", weight=3];
28880[label="Succ vvv1323",fontsize=16,color="green",shape="box"];28881[label="vvv1324",fontsize=16,color="green",shape="box"];28882[label="vvv132700",fontsize=16,color="green",shape="box"];28883[label="vvv1322",fontsize=16,color="green",shape="box"];28884[label="Succ vvv1323",fontsize=16,color="green",shape="box"];28962[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338)) vvv1339) (Neg (Succ vvv1338)) (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28962 -> 28963[label="",style="solid", color="black", weight=3];
28935[label="vvv13360",fontsize=16,color="green",shape="box"];28936[label="vvv13350",fontsize=16,color="green",shape="box"];28937[label="primQuotInt (Pos vvv1334) (gcd0Gcd'0 (Neg (Succ vvv1337)) (Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28937 -> 28939[label="",style="solid", color="black", weight=3];
28938 -> 13583[label="",style="dashed", color="red", weight=0];
28938[label="primQuotInt (Pos vvv1334) (Neg (Succ vvv1337))",fontsize=16,color="magenta"];28938 -> 28940[label="",style="dashed", color="magenta", weight=3];
28938 -> 28941[label="",style="dashed", color="magenta", weight=3];
26592 -> 28169[label="",style="dashed", color="red", weight=0];
26592[label="primQuotInt (Neg vvv1186) (gcd0Gcd'1 (Pos (Succ vvv1188) `rem` Neg (Succ (Succ vvv1187)) == fromInt (Pos Zero)) (Neg (Succ (Succ vvv1187))) (Pos (Succ vvv1188) `rem` Neg (Succ (Succ vvv1187))))",fontsize=16,color="magenta"];26592 -> 28178[label="",style="dashed", color="magenta", weight=3];
26592 -> 28179[label="",style="dashed", color="magenta", weight=3];
26592 -> 28180[label="",style="dashed", color="magenta", weight=3];
26592 -> 28181[label="",style="dashed", color="magenta", weight=3];
28307[label="vvv1291",fontsize=16,color="green",shape="box"];28308[label="vvv1269",fontsize=16,color="green",shape="box"];28309[label="vvv1265",fontsize=16,color="green",shape="box"];28310[label="vvv1268",fontsize=16,color="green",shape="box"];28065[label="primQuotInt (Neg vvv1265) (gcd0Gcd'2 (Neg (Succ vvv1269)) (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269)))",fontsize=16,color="black",shape="box"];28065 -> 28140[label="",style="solid", color="black", weight=3];
28229[label="vvv1221",fontsize=16,color="green",shape="box"];28230[label="vvv122400",fontsize=16,color="green",shape="box"];28231[label="Succ vvv1220",fontsize=16,color="green",shape="box"];28232[label="vvv1219",fontsize=16,color="green",shape="box"];28233[label="Succ vvv1220",fontsize=16,color="green",shape="box"];26766[label="primQuotInt (Neg vvv1219) (gcd0Gcd' (Pos (Succ (Succ vvv1220))) (Pos (Succ vvv1221) `rem` Pos (Succ (Succ vvv1220))))",fontsize=16,color="black",shape="box"];26766 -> 26808[label="",style="solid", color="black", weight=3];
28414[label="vvv12950",fontsize=16,color="green",shape="box"];28415[label="vvv12940",fontsize=16,color="green",shape="box"];28416[label="primQuotInt (Neg vvv1293) (gcd0Gcd'0 (Pos (Succ vvv1296)) (Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28416 -> 28446[label="",style="solid", color="black", weight=3];
28417 -> 7966[label="",style="dashed", color="red", weight=0];
28417[label="primQuotInt (Neg vvv1293) (Pos (Succ vvv1296))",fontsize=16,color="magenta"];28417 -> 28447[label="",style="dashed", color="magenta", weight=3];
28417 -> 28448[label="",style="dashed", color="magenta", weight=3];
28543[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqInt (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297)) vvv1314) (Pos (Succ vvv1297)) (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28543 -> 28550[label="",style="solid", color="black", weight=3];
28337[label="vvv1228",fontsize=16,color="green",shape="box"];28338[label="vvv123100",fontsize=16,color="green",shape="box"];28339[label="Succ vvv1227",fontsize=16,color="green",shape="box"];28340[label="Succ vvv1227",fontsize=16,color="green",shape="box"];28341[label="vvv1226",fontsize=16,color="green",shape="box"];26805[label="primQuotInt (Neg vvv1226) (gcd0Gcd' (Pos (Succ (Succ vvv1227))) (Neg (Succ vvv1228) `rem` Pos (Succ (Succ vvv1227))))",fontsize=16,color="black",shape="box"];26805 -> 26825[label="",style="solid", color="black", weight=3];
28468[label="vvv13020",fontsize=16,color="green",shape="box"];28469[label="vvv13010",fontsize=16,color="green",shape="box"];28470[label="primQuotInt (Neg vvv1300) (gcd0Gcd'0 (Neg (Succ vvv1303)) (Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28470 -> 28502[label="",style="solid", color="black", weight=3];
28471 -> 13605[label="",style="dashed", color="red", weight=0];
28471[label="primQuotInt (Neg vvv1300) (Neg (Succ vvv1303))",fontsize=16,color="magenta"];28471 -> 28503[label="",style="dashed", color="magenta", weight=3];
28471 -> 28504[label="",style="dashed", color="magenta", weight=3];
28552[label="vvv1061",fontsize=16,color="green",shape="box"];28553 -> 15[label="",style="dashed", color="red", weight=0];
28553[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28554[label="Zero",fontsize=16,color="green",shape="box"];28555[label="vvv1060",fontsize=16,color="green",shape="box"];28551[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304) == vvv1319) (Pos (Succ vvv1304)) (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304)))",fontsize=16,color="black",shape="triangle"];28551 -> 28569[label="",style="solid", color="black", weight=3];
26698 -> 28284[label="",style="dashed", color="red", weight=0];
26698[label="primQuotInt (Pos vvv1194) (gcd0Gcd'1 (Pos (Succ vvv1196) `rem` Neg (Succ (Succ vvv1195)) == fromInt (Pos Zero)) (Neg (Succ (Succ vvv1195))) (Pos (Succ vvv1196) `rem` Neg (Succ (Succ vvv1195))))",fontsize=16,color="magenta"];26698 -> 28293[label="",style="dashed", color="magenta", weight=3];
26698 -> 28294[label="",style="dashed", color="magenta", weight=3];
26698 -> 28295[label="",style="dashed", color="magenta", weight=3];
26698 -> 28296[label="",style="dashed", color="magenta", weight=3];
28418[label="vvv1298",fontsize=16,color="green",shape="box"];28419[label="vvv1276",fontsize=16,color="green",shape="box"];28420[label="vvv1272",fontsize=16,color="green",shape="box"];28421[label="vvv1275",fontsize=16,color="green",shape="box"];28168[label="primQuotInt (Pos vvv1272) (gcd0Gcd'2 (Neg (Succ vvv1276)) (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276)))",fontsize=16,color="black",shape="box"];28168 -> 28196[label="",style="solid", color="black", weight=3];
26867 -> 15[label="",style="dashed", color="red", weight=0];
26867[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];26754[label="primQuotInt (Pos vvv1205) (gcd0Gcd'2 (Pos (Succ (Succ vvv1206))) (Neg (Succ vvv1207) `rem` Pos (Succ (Succ vvv1206))))",fontsize=16,color="black",shape="box"];26754 -> 26776[label="",style="solid", color="black", weight=3];
28281[label="primQuotInt (Pos vvv1279) (gcd0Gcd' (Pos (Succ vvv1283)) (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28281 -> 28314[label="",style="solid", color="black", weight=3];
28282[label="vvv1282",fontsize=16,color="green",shape="box"];28283[label="vvv1279",fontsize=16,color="green",shape="box"];28472 -> 17826[label="",style="dashed", color="red", weight=0];
28472[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv1282)) (Pos (Succ vvv1283))) vvv1306) (Pos (Succ vvv1283)) (primRemInt (Neg (Succ vvv1282)) (Pos (Succ vvv1283))))",fontsize=16,color="magenta"];28472 -> 28505[label="",style="dashed", color="magenta", weight=3];
28472 -> 28506[label="",style="dashed", color="magenta", weight=3];
28472 -> 28507[label="",style="dashed", color="magenta", weight=3];
28472 -> 28508[label="",style="dashed", color="magenta", weight=3];
26767[label="primQuotInt (Neg vvv1212) (gcd0Gcd'2 (Neg (Succ (Succ vvv1213))) (Neg (Succ vvv1214) `rem` Neg (Succ (Succ vvv1213))))",fontsize=16,color="black",shape="box"];26767 -> 26809[label="",style="solid", color="black", weight=3];
28501 -> 19730[label="",style="dashed", color="red", weight=0];
28501[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv1288)) (Neg (Succ vvv1289))) vvv1307) (Neg (Succ vvv1289)) (primRemInt (Neg (Succ vvv1288)) (Neg (Succ vvv1289))))",fontsize=16,color="magenta"];28501 -> 28520[label="",style="dashed", color="magenta", weight=3];
28501 -> 28521[label="",style="dashed", color="magenta", weight=3];
28501 -> 28522[label="",style="dashed", color="magenta", weight=3];
28501 -> 28523[label="",style="dashed", color="magenta", weight=3];
28311[label="primQuotInt (Neg vvv1285) (gcd0Gcd' (Neg (Succ vvv1289)) (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28311 -> 28389[label="",style="solid", color="black", weight=3];
28312[label="vvv1288",fontsize=16,color="green",shape="box"];28313[label="vvv1285",fontsize=16,color="green",shape="box"];28746[label="primQuotInt (Pos vvv1322) (gcd0Gcd'2 (Neg (Succ (Succ vvv1323))) (Neg (Succ vvv1324) `rem` Neg (Succ (Succ vvv1323))))",fontsize=16,color="black",shape="box"];28746 -> 28749[label="",style="solid", color="black", weight=3];
28963 -> 19947[label="",style="dashed", color="red", weight=0];
28963[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv1337)) (Neg (Succ vvv1338))) vvv1339) (Neg (Succ vvv1338)) (primRemInt (Neg (Succ vvv1337)) (Neg (Succ vvv1338))))",fontsize=16,color="magenta"];28963 -> 28964[label="",style="dashed", color="magenta", weight=3];
28963 -> 28965[label="",style="dashed", color="magenta", weight=3];
28963 -> 28966[label="",style="dashed", color="magenta", weight=3];
28963 -> 28967[label="",style="dashed", color="magenta", weight=3];
28939[label="primQuotInt (Pos vvv1334) (gcd0Gcd' (Neg (Succ vvv1338)) (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28939 -> 28942[label="",style="solid", color="black", weight=3];
28940[label="vvv1337",fontsize=16,color="green",shape="box"];28941[label="vvv1334",fontsize=16,color="green",shape="box"];28178[label="Succ vvv1187",fontsize=16,color="green",shape="box"];28179[label="vvv1188",fontsize=16,color="green",shape="box"];28180 -> 15[label="",style="dashed", color="red", weight=0];
28180[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28181[label="vvv1186",fontsize=16,color="green",shape="box"];28140 -> 28169[label="",style="dashed", color="red", weight=0];
28140[label="primQuotInt (Neg vvv1265) (gcd0Gcd'1 (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269) == fromInt (Pos Zero)) (Neg (Succ vvv1269)) (Pos (Succ vvv1268) `rem` Neg (Succ vvv1269)))",fontsize=16,color="magenta"];28140 -> 28186[label="",style="dashed", color="magenta", weight=3];
26808[label="primQuotInt (Neg vvv1219) (gcd0Gcd'2 (Pos (Succ (Succ vvv1220))) (Pos (Succ vvv1221) `rem` Pos (Succ (Succ vvv1220))))",fontsize=16,color="black",shape="box"];26808 -> 26828[label="",style="solid", color="black", weight=3];
28446[label="primQuotInt (Neg vvv1293) (gcd0Gcd' (Pos (Succ vvv1297)) (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28446 -> 28473[label="",style="solid", color="black", weight=3];
28447[label="vvv1293",fontsize=16,color="green",shape="box"];28448[label="vvv1296",fontsize=16,color="green",shape="box"];28550 -> 10586[label="",style="dashed", color="red", weight=0];
28550[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (primEqInt (primRemInt (Pos (Succ vvv1296)) (Pos (Succ vvv1297))) vvv1314) (Pos (Succ vvv1297)) (primRemInt (Pos (Succ vvv1296)) (Pos (Succ vvv1297))))",fontsize=16,color="magenta"];28550 -> 28570[label="",style="dashed", color="magenta", weight=3];
28550 -> 28571[label="",style="dashed", color="magenta", weight=3];
28550 -> 28572[label="",style="dashed", color="magenta", weight=3];
28550 -> 28573[label="",style="dashed", color="magenta", weight=3];
26825[label="primQuotInt (Neg vvv1226) (gcd0Gcd'2 (Pos (Succ (Succ vvv1227))) (Neg (Succ vvv1228) `rem` Pos (Succ (Succ vvv1227))))",fontsize=16,color="black",shape="box"];26825 -> 26834[label="",style="solid", color="black", weight=3];
28502[label="primQuotInt (Neg vvv1300) (gcd0Gcd' (Pos (Succ vvv1304)) (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28502 -> 28524[label="",style="solid", color="black", weight=3];
28503[label="vvv1303",fontsize=16,color="green",shape="box"];28504[label="vvv1300",fontsize=16,color="green",shape="box"];28569[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqInt (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304)) vvv1319) (Pos (Succ vvv1304)) (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28569 -> 28591[label="",style="solid", color="black", weight=3];
28293 -> 15[label="",style="dashed", color="red", weight=0];
28293[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28294[label="vvv1196",fontsize=16,color="green",shape="box"];28295[label="Succ vvv1195",fontsize=16,color="green",shape="box"];28296[label="vvv1194",fontsize=16,color="green",shape="box"];28196 -> 28284[label="",style="dashed", color="red", weight=0];
28196[label="primQuotInt (Pos vvv1272) (gcd0Gcd'1 (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276) == fromInt (Pos Zero)) (Neg (Succ vvv1276)) (Pos (Succ vvv1275) `rem` Neg (Succ vvv1276)))",fontsize=16,color="magenta"];28196 -> 28301[label="",style="dashed", color="magenta", weight=3];
26776 -> 28423[label="",style="dashed", color="red", weight=0];
26776[label="primQuotInt (Pos vvv1205) (gcd0Gcd'1 (Neg (Succ vvv1207) `rem` Pos (Succ (Succ vvv1206)) == fromInt (Pos Zero)) (Pos (Succ (Succ vvv1206))) (Neg (Succ vvv1207) `rem` Pos (Succ (Succ vvv1206))))",fontsize=16,color="magenta"];26776 -> 28432[label="",style="dashed", color="magenta", weight=3];
26776 -> 28433[label="",style="dashed", color="magenta", weight=3];
26776 -> 28434[label="",style="dashed", color="magenta", weight=3];
26776 -> 28435[label="",style="dashed", color="magenta", weight=3];
28314[label="primQuotInt (Pos vvv1279) (gcd0Gcd'2 (Pos (Succ vvv1283)) (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283)))",fontsize=16,color="black",shape="box"];28314 -> 28390[label="",style="solid", color="black", weight=3];
28505[label="vvv1306",fontsize=16,color="green",shape="box"];28506[label="vvv1282",fontsize=16,color="green",shape="box"];28507[label="vvv1279",fontsize=16,color="green",shape="box"];28508[label="vvv1283",fontsize=16,color="green",shape="box"];26809 -> 28449[label="",style="dashed", color="red", weight=0];
26809[label="primQuotInt (Neg vvv1212) (gcd0Gcd'1 (Neg (Succ vvv1214) `rem` Neg (Succ (Succ vvv1213)) == fromInt (Pos Zero)) (Neg (Succ (Succ vvv1213))) (Neg (Succ vvv1214) `rem` Neg (Succ (Succ vvv1213))))",fontsize=16,color="magenta"];26809 -> 28458[label="",style="dashed", color="magenta", weight=3];
26809 -> 28459[label="",style="dashed", color="magenta", weight=3];
26809 -> 28460[label="",style="dashed", color="magenta", weight=3];
26809 -> 28461[label="",style="dashed", color="magenta", weight=3];
28520[label="vvv1288",fontsize=16,color="green",shape="box"];28521[label="vvv1307",fontsize=16,color="green",shape="box"];28522[label="vvv1289",fontsize=16,color="green",shape="box"];28523[label="vvv1285",fontsize=16,color="green",shape="box"];28389[label="primQuotInt (Neg vvv1285) (gcd0Gcd'2 (Neg (Succ vvv1289)) (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289)))",fontsize=16,color="black",shape="box"];28389 -> 28422[label="",style="solid", color="black", weight=3];
28749 -> 28944[label="",style="dashed", color="red", weight=0];
28749[label="primQuotInt (Pos vvv1322) (gcd0Gcd'1 (Neg (Succ vvv1324) `rem` Neg (Succ (Succ vvv1323)) == fromInt (Pos Zero)) (Neg (Succ (Succ vvv1323))) (Neg (Succ vvv1324) `rem` Neg (Succ (Succ vvv1323))))",fontsize=16,color="magenta"];28749 -> 28953[label="",style="dashed", color="magenta", weight=3];
28749 -> 28954[label="",style="dashed", color="magenta", weight=3];
28749 -> 28955[label="",style="dashed", color="magenta", weight=3];
28749 -> 28956[label="",style="dashed", color="magenta", weight=3];
28964[label="vvv1339",fontsize=16,color="green",shape="box"];28965[label="vvv1337",fontsize=16,color="green",shape="box"];28966[label="vvv1334",fontsize=16,color="green",shape="box"];28967[label="vvv1338",fontsize=16,color="green",shape="box"];28942[label="primQuotInt (Pos vvv1334) (gcd0Gcd'2 (Neg (Succ vvv1338)) (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338)))",fontsize=16,color="black",shape="box"];28942 -> 28943[label="",style="solid", color="black", weight=3];
28186 -> 15[label="",style="dashed", color="red", weight=0];
28186[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];26828 -> 28525[label="",style="dashed", color="red", weight=0];
26828[label="primQuotInt (Neg vvv1219) (gcd0Gcd'1 (Pos (Succ vvv1221) `rem` Pos (Succ (Succ vvv1220)) == fromInt (Pos Zero)) (Pos (Succ (Succ vvv1220))) (Pos (Succ vvv1221) `rem` Pos (Succ (Succ vvv1220))))",fontsize=16,color="magenta"];26828 -> 28534[label="",style="dashed", color="magenta", weight=3];
26828 -> 28535[label="",style="dashed", color="magenta", weight=3];
26828 -> 28536[label="",style="dashed", color="magenta", weight=3];
26828 -> 28537[label="",style="dashed", color="magenta", weight=3];
28473[label="primQuotInt (Neg vvv1293) (gcd0Gcd'2 (Pos (Succ vvv1297)) (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297)))",fontsize=16,color="black",shape="box"];28473 -> 28509[label="",style="solid", color="black", weight=3];
28570[label="vvv1293",fontsize=16,color="green",shape="box"];28571[label="vvv1296",fontsize=16,color="green",shape="box"];28572[label="vvv1314",fontsize=16,color="green",shape="box"];28573[label="vvv1297",fontsize=16,color="green",shape="box"];26834 -> 28551[label="",style="dashed", color="red", weight=0];
26834[label="primQuotInt (Neg vvv1226) (gcd0Gcd'1 (Neg (Succ vvv1228) `rem` Pos (Succ (Succ vvv1227)) == fromInt (Pos Zero)) (Pos (Succ (Succ vvv1227))) (Neg (Succ vvv1228) `rem` Pos (Succ (Succ vvv1227))))",fontsize=16,color="magenta"];26834 -> 28560[label="",style="dashed", color="magenta", weight=3];
26834 -> 28561[label="",style="dashed", color="magenta", weight=3];
26834 -> 28562[label="",style="dashed", color="magenta", weight=3];
26834 -> 28563[label="",style="dashed", color="magenta", weight=3];
28524[label="primQuotInt (Neg vvv1300) (gcd0Gcd'2 (Pos (Succ vvv1304)) (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304)))",fontsize=16,color="black",shape="box"];28524 -> 28544[label="",style="solid", color="black", weight=3];
28591 -> 17789[label="",style="dashed", color="red", weight=0];
28591[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (primEqInt (primRemInt (Neg (Succ vvv1303)) (Pos (Succ vvv1304))) vvv1319) (Pos (Succ vvv1304)) (primRemInt (Neg (Succ vvv1303)) (Pos (Succ vvv1304))))",fontsize=16,color="magenta"];28591 -> 28600[label="",style="dashed", color="magenta", weight=3];
28591 -> 28601[label="",style="dashed", color="magenta", weight=3];
28591 -> 28602[label="",style="dashed", color="magenta", weight=3];
28591 -> 28603[label="",style="dashed", color="magenta", weight=3];
28301 -> 15[label="",style="dashed", color="red", weight=0];
28301[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28432[label="vvv1205",fontsize=16,color="green",shape="box"];28433 -> 15[label="",style="dashed", color="red", weight=0];
28433[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28434[label="vvv1207",fontsize=16,color="green",shape="box"];28435[label="Succ vvv1206",fontsize=16,color="green",shape="box"];28390 -> 28423[label="",style="dashed", color="red", weight=0];
28390[label="primQuotInt (Pos vvv1279) (gcd0Gcd'1 (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283) == fromInt (Pos Zero)) (Pos (Succ vvv1283)) (Neg (Succ vvv1282) `rem` Pos (Succ vvv1283)))",fontsize=16,color="magenta"];28390 -> 28440[label="",style="dashed", color="magenta", weight=3];
28458[label="vvv1214",fontsize=16,color="green",shape="box"];28459[label="Succ vvv1213",fontsize=16,color="green",shape="box"];28460[label="vvv1212",fontsize=16,color="green",shape="box"];28461 -> 15[label="",style="dashed", color="red", weight=0];
28461[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28422 -> 28449[label="",style="dashed", color="red", weight=0];
28422[label="primQuotInt (Neg vvv1285) (gcd0Gcd'1 (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289) == fromInt (Pos Zero)) (Neg (Succ vvv1289)) (Neg (Succ vvv1288) `rem` Neg (Succ vvv1289)))",fontsize=16,color="magenta"];28422 -> 28466[label="",style="dashed", color="magenta", weight=3];
28953[label="Succ vvv1323",fontsize=16,color="green",shape="box"];28954[label="vvv1324",fontsize=16,color="green",shape="box"];28955 -> 15[label="",style="dashed", color="red", weight=0];
28955[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28956[label="vvv1322",fontsize=16,color="green",shape="box"];28943 -> 28944[label="",style="dashed", color="red", weight=0];
28943[label="primQuotInt (Pos vvv1334) (gcd0Gcd'1 (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338) == fromInt (Pos Zero)) (Neg (Succ vvv1338)) (Neg (Succ vvv1337) `rem` Neg (Succ vvv1338)))",fontsize=16,color="magenta"];28943 -> 28961[label="",style="dashed", color="magenta", weight=3];
28534[label="vvv1221",fontsize=16,color="green",shape="box"];28535 -> 15[label="",style="dashed", color="red", weight=0];
28535[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28536[label="vvv1219",fontsize=16,color="green",shape="box"];28537[label="Succ vvv1220",fontsize=16,color="green",shape="box"];28509 -> 28525[label="",style="dashed", color="red", weight=0];
28509[label="primQuotInt (Neg vvv1293) (gcd0Gcd'1 (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297) == fromInt (Pos Zero)) (Pos (Succ vvv1297)) (Pos (Succ vvv1296) `rem` Pos (Succ vvv1297)))",fontsize=16,color="magenta"];28509 -> 28542[label="",style="dashed", color="magenta", weight=3];
28560[label="vvv1228",fontsize=16,color="green",shape="box"];28561 -> 15[label="",style="dashed", color="red", weight=0];
28561[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28562[label="Succ vvv1227",fontsize=16,color="green",shape="box"];28563[label="vvv1226",fontsize=16,color="green",shape="box"];28544 -> 28551[label="",style="dashed", color="red", weight=0];
28544[label="primQuotInt (Neg vvv1300) (gcd0Gcd'1 (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304) == fromInt (Pos Zero)) (Pos (Succ vvv1304)) (Neg (Succ vvv1303) `rem` Pos (Succ vvv1304)))",fontsize=16,color="magenta"];28544 -> 28568[label="",style="dashed", color="magenta", weight=3];
28600[label="vvv1304",fontsize=16,color="green",shape="box"];28601[label="vvv1300",fontsize=16,color="green",shape="box"];28602[label="vvv1319",fontsize=16,color="green",shape="box"];28603[label="vvv1303",fontsize=16,color="green",shape="box"];28440 -> 15[label="",style="dashed", color="red", weight=0];
28440[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28466 -> 15[label="",style="dashed", color="red", weight=0];
28466[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28961 -> 15[label="",style="dashed", color="red", weight=0];
28961[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28542 -> 15[label="",style="dashed", color="red", weight=0];
28542[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];28568 -> 15[label="",style="dashed", color="red", weight=0];
28568[label="fromInt (Pos Zero)",fontsize=16,color="magenta"];}

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primPlusNat(Succ(vvv4500), Succ(vvv41000)) → new_primPlusNat(vvv4500, vvv41000)

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(vvv4500), Succ(vvv41000)) → new_primPlusNat(vvv4500, vvv41000)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primMulNat(Succ(vvv5000), vvv4100) → new_primMulNat(vvv5000, vvv4100)

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

new_primMulNat(Succ(vvv5000), vvv4100) → new_primMulNat(vvv5000, vvv4100)
The graph contains the following edges 1 > 1, 2 >= 2

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primRemInt(vvv737, Succ(vvv7380), Succ(vvv7390)) → new_primRemInt(vvv737, vvv7380, vvv7390)

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

new_primRemInt(vvv737, Succ(vvv7380), Succ(vvv7390)) → new_primRemInt(vvv737, vvv7380, vvv7390)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primRemInt0(vvv756, Succ(vvv7570), Succ(vvv7580)) → new_primRemInt0(vvv756, vvv7570, vvv7580)

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

new_primRemInt0(vvv756, Succ(vvv7570), Succ(vvv7580)) → new_primRemInt0(vvv756, vvv7570, vvv7580)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primRemInt1(vvv809, Succ(vvv8100), Succ(vvv8110)) → new_primRemInt1(vvv809, vvv8100, vvv8110)

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

new_primRemInt1(vvv809, Succ(vvv8100), Succ(vvv8110)) → new_primRemInt1(vvv809, vvv8100, vvv8110)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primRemInt2(vvv760, Succ(vvv7610), Succ(vvv7620)) → new_primRemInt2(vvv760, vvv7610, vvv7620)

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

new_primRemInt2(vvv760, Succ(vvv7610), Succ(vvv7620)) → new_primRemInt2(vvv760, vvv7610, vvv7620)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primMinusNatS(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS(vvv75100, vvv7520)

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

new_primMinusNatS(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS(vvv75100, vvv7520)
The graph contains the following edges 1 > 1, 2 > 2

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS(Succ(Succ(vvv11500)), Succ(vvv22000)) → new_primDivNatS0(vvv11500, vvv22000, vvv11500, vvv22000)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)
new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))
new_primDivNatS(Succ(Succ(vvv11500)), Zero) → new_primDivNatS(new_primMinusNatS0(vvv11500), Zero)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))
new_primDivNatS(Succ(Zero), Zero) → new_primDivNatS(new_primMinusNatS1, Zero)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS1 → Zero
new_primMinusNatS0(vvv11500) → Succ(vvv11500)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS0(x0)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS1
new_primMinusNatS2(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS(Succ(Succ(vvv11500)), Zero) → new_primDivNatS(new_primMinusNatS0(vvv11500), Zero)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS1 → Zero
new_primMinusNatS0(vvv11500) → Succ(vvv11500)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS0(x0)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS1
new_primMinusNatS2(Zero, Succ(x0))

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

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS(Succ(Succ(vvv11500)), Zero) → new_primDivNatS(new_primMinusNatS0(vvv11500), Zero)

The TRS R consists of the following rules:

new_primMinusNatS0(vvv11500) → Succ(vvv11500)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS0(x0)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS1
new_primMinusNatS2(Zero, Succ(x0))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS1
new_primMinusNatS2(Zero, Succ(x0))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS(Succ(Succ(vvv11500)), Zero) → new_primDivNatS(new_primMinusNatS0(vvv11500), Zero)

The TRS R consists of the following rules:

new_primMinusNatS0(vvv11500) → Succ(vvv11500)

The set Q consists of the following terms:

new_primMinusNatS0(x0)

We have to consider all minimal (P,Q,R)-chains.
By using the rule removal processor [15] with the following polynomial ordering [25], at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.
Strictly oriented dependency pairs:

new_primDivNatS(Succ(Succ(vvv11500)), Zero) → new_primDivNatS(new_primMinusNatS0(vvv11500), Zero)

Strictly oriented rules of the TRS R:

new_primMinusNatS0(vvv11500) → Succ(vvv11500)

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primDivNatS(x₁, x₂)) = x₁ + x₂
POL(new_primMinusNatS0(x₁)) = 2 + 2·x₁

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primMinusNatS0(x0)

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)
new_primDivNatS(Succ(Succ(vvv11500)), Succ(vvv22000)) → new_primDivNatS0(vvv11500, vvv22000, vvv11500, vvv22000)
new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS1 → Zero
new_primMinusNatS0(vvv11500) → Succ(vvv11500)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS0(x0)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS1
new_primMinusNatS2(Zero, Succ(x0))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)
new_primDivNatS(Succ(Succ(vvv11500)), Succ(vvv22000)) → new_primDivNatS0(vvv11500, vvv22000, vvv11500, vvv22000)
new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS0(x0)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS1
new_primMinusNatS2(Zero, Succ(x0))

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

new_primMinusNatS0(x0)
new_primMinusNatS1

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS(Succ(Succ(vvv11500)), Succ(vvv22000)) → new_primDivNatS0(vvv11500, vvv22000, vvv11500, vvv22000)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)
new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS2(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838)) at position [0] we obtained the following new rules:

new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(vvv837, vvv838), Succ(vvv838))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)
new_primDivNatS(Succ(Succ(vvv11500)), Succ(vvv22000)) → new_primDivNatS0(vvv11500, vvv22000, vvv11500, vvv22000)
new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(vvv837, vvv838), Succ(vvv838))
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS2(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(Succ(vvv837), Succ(vvv838)), Succ(vvv838)) at position [0] we obtained the following new rules:

new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(vvv837, vvv838), Succ(vvv838))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ QDPOrderProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(vvv837, vvv838), Succ(vvv838))
new_primDivNatS(Succ(Succ(vvv11500)), Succ(vvv22000)) → new_primDivNatS0(vvv11500, vvv22000, vvv11500, vvv22000)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)
new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(vvv837, vvv838), Succ(vvv838))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS2(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Zero) → new_primDivNatS(new_primMinusNatS2(vvv837, vvv838), Succ(vvv838))
new_primDivNatS(Succ(Succ(vvv11500)), Succ(vvv22000)) → new_primDivNatS0(vvv11500, vvv22000, vvv11500, vvv22000)
new_primDivNatS00(vvv837, vvv838) → new_primDivNatS(new_primMinusNatS2(vvv837, vvv838), Succ(vvv838))

The remaining pairs can at least be oriented weakly.

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)

Used ordering: Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(new_primDivNatS(x₁, x₂)) = x₁
POL(new_primDivNatS0(x₁, x₂, x₃, x₄)) = 1 + x₁
POL(new_primDivNatS00(x₁, x₂)) = 1 + x₁
POL(new_primMinusNatS2(x₁, x₂)) = x₁

The following usable rules [17] were oriented:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ QDPOrderProof

                                                    ↳ QDP

                                                      ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Zero, Zero) → new_primDivNatS00(vvv837, vvv838)
new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS2(Zero, Succ(x0))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ QDPOrderProof

                                                    ↳ QDP

                                                      ↳ DependencyGraphProof

                                                        ↳ QDP

                                                          ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS2(Zero, Succ(x0))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ QDPOrderProof

                                                    ↳ QDP

                                                      ↳ DependencyGraphProof

                                                        ↳ QDP

                                                          ↳ UsableRulesProof

                                                            ↳ QDP

                                                              ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS2(Zero, Succ(x0))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primMinusNatS2(Zero, Succ(x0))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ QDPOrderProof

                                                    ↳ QDP

                                                      ↳ DependencyGraphProof

                                                        ↳ QDP

                                                          ↳ UsableRulesProof

                                                            ↳ QDP

                                                              ↳ QReductionProof

                                                                ↳ QDP

                                                                  ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)

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

new_primDivNatS0(vvv837, vvv838, Succ(vvv8390), Succ(vvv8400)) → new_primDivNatS0(vvv837, vvv838, vvv8390, vvv8400)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt(vvv652, vvv653, Succ(vvv6540), Succ(vvv6550)) → new_primQuotInt(vvv652, vvv653, vvv6540, vvv6550)

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

new_primQuotInt(vvv652, vvv653, Succ(vvv6540), Succ(vvv6550)) → new_primQuotInt(vvv652, vvv653, vvv6540, vvv6550)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt0(vvv638, vvv639, Succ(vvv6400), Succ(vvv6410)) → new_primQuotInt0(vvv638, vvv639, vvv6400, vvv6410)

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

new_primQuotInt0(vvv638, vvv639, Succ(vvv6400), Succ(vvv6410)) → new_primQuotInt0(vvv638, vvv639, vvv6400, vvv6410)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Zero, vvv1025, vvv1038) → new_primQuotInt17(vvv1020, new_primMinusNatS2(Succ(vvv103900), Zero), Zero, vvv1025, new_primMinusNatS2(Succ(vvv103900), Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt42(vvv51, Succ(vvv473000), Zero, vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Zero, Succ(vvv295000), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt45(vvv1068, Zero, vvv1070, Pos(Succ(vvv107300)), vvv1083) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt18(vvv51, Pos(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt45(vvv1068, Zero, vvv1070, Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt51(vvv1068, vvv1070)
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt44(vvv51, Pos(Zero), vvv504) → new_primQuotInt13(vvv51, new_error, vvv504, new_error)
new_primQuotInt41(vvv1068, vvv1094, vvv1097) → new_primQuotInt18(vvv1068, vvv1094, vvv1097, vvv1094)
new_primQuotInt13(vvv46, Pos(Succ(Zero)), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Zero)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt19(vvv46, Pos(Zero), vvv506) → new_primQuotInt13(vvv46, new_error, vvv506, new_error)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt15(vvv46, vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt42(vvv51, vvv47300, vvv29500, vvv472)
new_primQuotInt44(vvv51, Neg(Zero), vvv504) → new_primQuotInt18(vvv51, new_error, vvv504, new_error)
new_primQuotInt16(vvv46, Pos(Succ(vvv47400)), vvv506) → new_primQuotInt5(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt16(vvv46, Pos(Zero), vvv506) → new_primQuotInt13(vvv46, new_error, vvv506, new_error)
new_primQuotInt14(vvv46, Succ(vvv475000), Zero, vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt14(vvv46, Zero, Succ(vvv309000), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt5(vvv1013, Succ(Zero), Zero, vvv1018, vvv1036) → new_primQuotInt5(vvv1013, new_primMinusNatS2(Zero, Zero), Zero, vvv1018, new_primMinusNatS2(Zero, Zero))
new_primQuotInt24(vvv1020, vvv1022) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt5(vvv1013, Zero, vvv1015, Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt43(vvv51, vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Neg(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt30(vvv1028, Succ(Zero), Zero, vvv1033, vvv1047) → new_primQuotInt30(vvv1028, new_primMinusNatS2(Zero, Zero), Zero, vvv1033, new_primMinusNatS2(Zero, Zero))
new_primQuotInt36(vvv1028, vvv1030) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Neg(vvv3090), vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt13(vvv46, Neg(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt19(vvv46, Neg(Succ(vvv47400)), vvv506) → new_primQuotInt17(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt46(vvv51, Pos(Succ(vvv47200)), vvv504) → new_primQuotInt30(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Zero, vvv1073, vvv1083) → new_primQuotInt45(vvv1068, new_primMinusNatS2(Succ(vvv108400), Zero), Zero, vvv1073, new_primMinusNatS2(Succ(vvv108400), Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Zero, vvv1018, vvv1036) → new_primQuotInt5(vvv1013, new_primMinusNatS2(Succ(vvv103700), Zero), Zero, vvv1018, new_primMinusNatS2(Succ(vvv103700), Zero))
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt14(vvv46, vvv47500, vvv30900, vvv474)
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt16(vvv46, Neg(Succ(vvv47400)), vvv506) → new_primQuotInt17(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Zero, vvv1073, vvv1083) → new_primQuotInt45(vvv1068, new_primMinusNatS2(Zero, Zero), Zero, vvv1073, new_primMinusNatS2(Zero, Zero))
new_primQuotInt16(vvv46, Neg(Zero), vvv506) → new_primQuotInt18(vvv46, new_error, vvv506, new_error)
new_primQuotInt17(vvv1020, Zero, vvv1022, Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt19(vvv46, Neg(Zero), vvv506) → new_primQuotInt18(vvv46, new_error, vvv506, new_error)
new_primQuotInt35(vvv1068, vvv1094) → new_primQuotInt41(vvv1068, vvv1094, new_fromInt)
new_primQuotInt14(vvv46, Succ(vvv475000), Succ(vvv309000), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Zero, vvv1033, vvv1047) → new_primQuotInt30(vvv1028, new_primMinusNatS2(Succ(vvv104800), Zero), Zero, vvv1033, new_primMinusNatS2(Succ(vvv104800), Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Zero, vvv1025, vvv1038) → new_primQuotInt17(vvv1020, new_primMinusNatS2(Zero, Zero), Zero, vvv1025, new_primMinusNatS2(Zero, Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt8(vvv1013, vvv1054) → new_primQuotInt12(vvv1013, vvv1054, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt51(vvv1068, vvv1070) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt5(vvv1013, Zero, vvv1015, Neg(Succ(vvv101800)), vvv1036) → new_primQuotInt9(vvv1013, vvv1015)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))
new_primQuotInt44(vvv51, Neg(Succ(vvv47200)), vvv504) → new_primQuotInt45(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt46(vvv51, Neg(Zero), vvv504) → new_primQuotInt18(vvv51, new_error, vvv504, new_error)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt9(vvv1013, vvv1015) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Pos(vvv3090), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Zero, vvv1022, Neg(Succ(vvv102500)), vvv1038) → new_primQuotInt24(vvv1020, vvv1022)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Zero, vvv1030, Pos(Succ(vvv103300)), vvv1047) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt30(vvv1028, Zero, vvv1030, Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt36(vvv1028, vvv1030)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Pos(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Neg(vvv2950), vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt12(vvv1013, vvv1054, vvv1058) → new_primQuotInt13(vvv1013, vvv1054, vvv1058, vvv1054)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Zero)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Zero)), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt44(vvv51, Pos(Succ(vvv47200)), vvv504) → new_primQuotInt30(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt46(vvv51, Pos(Zero), vvv504) → new_primQuotInt13(vvv51, new_error, vvv504, new_error)
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt42(vvv51, Succ(vvv473000), Succ(vvv295000), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt46(vvv51, Neg(Succ(vvv47200)), vvv504) → new_primQuotInt45(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Pos(vvv2950), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt19(vvv46, Pos(Succ(vvv47400)), vvv506) → new_primQuotInt5(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Pos(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 9 SCCs with 16 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt16(vvv46, Pos(Succ(vvv47400)), vvv506) → new_primQuotInt5(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt14(vvv46, Zero, Succ(vvv309000), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt14(vvv46, Succ(vvv475000), Zero, vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt9(vvv1013, vvv1015) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt14(vvv46, vvv47500, vvv30900, vvv474)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Pos(vvv3090), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt16(vvv46, Neg(Succ(vvv47400)), vvv506) → new_primQuotInt17(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt24(vvv1020, vvv1022) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt17(vvv1020, Zero, vvv1022, Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt5(vvv1013, Zero, vvv1015, Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt17(vvv1020, Zero, vvv1022, Neg(Succ(vvv102500)), vvv1038) → new_primQuotInt24(vvv1020, vvv1022)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Neg(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt12(vvv1013, vvv1054, vvv1058) → new_primQuotInt13(vvv1013, vvv1054, vvv1058, vvv1054)
new_primQuotInt14(vvv46, Succ(vvv475000), Succ(vvv309000), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Zero)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Zero)), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Neg(vvv3090), vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt8(vvv1013, vvv1054) → new_primQuotInt12(vvv1013, vvv1054, new_fromInt)
new_primQuotInt13(vvv46, Neg(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt15(vvv46, vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt5(vvv1013, Zero, vvv1015, Neg(Succ(vvv101800)), vvv1036) → new_primQuotInt9(vvv1013, vvv1015)
new_primQuotInt13(vvv46, Pos(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Pos(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt16(vvv46, Pos(Succ(vvv47400)), vvv506) → new_primQuotInt5(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt14(vvv46, Zero, Succ(vvv309000), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt14(vvv46, Succ(vvv475000), Zero, vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt9(vvv1013, vvv1015) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt14(vvv46, vvv47500, vvv30900, vvv474)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Pos(vvv3090), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt16(vvv46, Neg(Succ(vvv47400)), vvv506) → new_primQuotInt17(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt24(vvv1020, vvv1022) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt17(vvv1020, Zero, vvv1022, Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt5(vvv1013, Zero, vvv1015, Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt17(vvv1020, Zero, vvv1022, Neg(Succ(vvv102500)), vvv1038) → new_primQuotInt24(vvv1020, vvv1022)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Neg(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt12(vvv1013, vvv1054, vvv1058) → new_primQuotInt13(vvv1013, vvv1054, vvv1058, vvv1054)
new_primQuotInt14(vvv46, Succ(vvv475000), Succ(vvv309000), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Zero)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Zero)), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Neg(vvv3090), vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt8(vvv1013, vvv1054) → new_primQuotInt12(vvv1013, vvv1054, new_fromInt)
new_primQuotInt13(vvv46, Neg(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt15(vvv46, vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt5(vvv1013, Zero, vvv1015, Neg(Succ(vvv101800)), vvv1036) → new_primQuotInt9(vvv1013, vvv1015)
new_primQuotInt13(vvv46, Pos(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Pos(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_primRemInt5(vvv2200) → new_error
new_error → error([])
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primRemInt3(vvv46800) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_primMinusNatS2(Succ(x0), Zero)
new_rem2(x0)
new_rem1(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt4(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt16(vvv46, Pos(Succ(vvv47400)), vvv506) → new_primQuotInt5(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt14(vvv46, Succ(vvv475000), Zero, vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt14(vvv46, Zero, Succ(vvv309000), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt14(vvv46, vvv47500, vvv30900, vvv474)
new_primQuotInt9(vvv1013, vvv1015) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Pos(vvv3090), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt24(vvv1020, vvv1022) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt16(vvv46, Neg(Succ(vvv47400)), vvv506) → new_primQuotInt17(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt17(vvv1020, Zero, vvv1022, Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt5(vvv1013, Zero, vvv1015, Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt17(vvv1020, Zero, vvv1022, Neg(Succ(vvv102500)), vvv1038) → new_primQuotInt24(vvv1020, vvv1022)
new_primQuotInt13(vvv46, Neg(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt12(vvv1013, vvv1054, vvv1058) → new_primQuotInt13(vvv1013, vvv1054, vvv1058, vvv1054)
new_primQuotInt14(vvv46, Succ(vvv475000), Succ(vvv309000), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Zero)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Zero)), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Neg(vvv3090), vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt8(vvv1013, vvv1054) → new_primQuotInt12(vvv1013, vvv1054, new_fromInt)
new_primQuotInt13(vvv46, Neg(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt15(vvv46, vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt5(vvv1013, Zero, vvv1015, Neg(Succ(vvv101800)), vvv1036) → new_primQuotInt9(vvv1013, vvv1015)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Pos(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_primRemInt5(vvv2200) → new_error
new_error → error([])
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primRemInt3(vvv46800) → new_error

The set Q consists of the following terms:

new_rem0(x0)
new_rem(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt5(x0)

We have to consider all minimal (P,Q,R)-chains.
By using the usable rules with reduction pair processor [15] with a polynomial ordering [25], all dependency pairs and the corresponding usable rules [17] can be oriented non-strictly. All non-usable rules are removed, and those dependency pairs and usable rules that have been oriented strictly or contain non-usable symbols in their left-hand side are removed as well.

The following dependency pairs can be deleted:

new_primQuotInt16(vvv46, Pos(Succ(vvv47400)), vvv506) → new_primQuotInt5(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt14(vvv46, Succ(vvv475000), Zero, vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt14(vvv46, Zero, Succ(vvv309000), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt14(vvv46, vvv47500, vvv30900, vvv474)
new_primQuotInt9(vvv1013, vvv1015) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Pos(vvv3090), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt24(vvv1020, vvv1022) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt16(vvv46, Neg(Succ(vvv47400)), vvv506) → new_primQuotInt17(vvv46, Zero, vvv47400, vvv506, Zero)
new_primQuotInt17(vvv1020, Zero, vvv1022, Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt8(vvv1020, new_rem0(vvv1022))
new_primQuotInt5(vvv1013, Zero, vvv1015, Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt8(vvv1013, new_rem(vvv1015))
new_primQuotInt17(vvv1020, Zero, vvv1022, Neg(Succ(vvv102500)), vvv1038) → new_primQuotInt24(vvv1020, vvv1022)
new_primQuotInt13(vvv46, Neg(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Neg(Succ(vvv47500)), Neg(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt12(vvv1013, vvv1054, vvv1058) → new_primQuotInt13(vvv1013, vvv1054, vvv1058, vvv1054)
new_primQuotInt14(vvv46, Succ(vvv475000), Succ(vvv309000), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt14(vvv46, vvv475000, vvv309000, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Succ(vvv475000))), Pos(Succ(Zero)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(Zero)), Pos(Succ(Succ(vvv309000))), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Neg(vvv3090), vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt13(vvv46, Neg(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Neg(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt5(vvv1013, Zero, vvv1015, Neg(Succ(vvv101800)), vvv1036) → new_primQuotInt9(vvv1013, vvv1015)
new_primQuotInt13(vvv46, Pos(Succ(vvv47500)), Pos(Zero), vvv474) → new_primQuotInt15(vvv46, vvv474)
new_primQuotInt13(vvv46, Pos(Zero), Pos(Succ(vvv30900)), vvv474) → new_primQuotInt15(vvv46, vvv474)

No rules are removed from R.

Used ordering: POLO with Polynomial interpretation [25]:

POL(Neg(x₁)) = 2 + x₁
POL(Pos(x₁)) = 2·x₁
POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL([]) = 0
POL(error(x₁)) = 2·x₁
POL(new_error) = 0
POL(new_fromInt) = 0
POL(new_primQuotInt12(x₁, x₂, x₃)) = 1 + x₁ + 2·x₂ + 2·x₃
POL(new_primQuotInt13(x₁, x₂, x₃, x₄)) = x₁ + x₂ + 2·x₃ + x₄
POL(new_primQuotInt14(x₁, x₂, x₃, x₄)) = x₁ + 2·x₂ + 2·x₃ + x₄
POL(new_primQuotInt15(x₁, x₂)) = x₁ + x₂
POL(new_primQuotInt16(x₁, x₂, x₃)) = x₁ + x₂ + 2·x₃
POL(new_primQuotInt17(x₁, x₂, x₃, x₄, x₅)) = 1 + x₁ + 2·x₂ + 2·x₃ + x₄ + x₅
POL(new_primQuotInt24(x₁, x₂)) = 2 + x₁ + 2·x₂
POL(new_primQuotInt5(x₁, x₂, x₃, x₄, x₅)) = x₁ + 2·x₂ + 2·x₃ + x₄ + x₅
POL(new_primQuotInt8(x₁, x₂)) = 1 + x₁ + 2·x₂
POL(new_primQuotInt9(x₁, x₂)) = 2 + x₁ + 2·x₂
POL(new_primRemInt3(x₁)) = x₁
POL(new_primRemInt5(x₁)) = x₁
POL(new_rem(x₁)) = x₁
POL(new_rem0(x₁)) = x₁

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                            ↳ QDP

                                              ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt15(vvv46, vvv474) → new_primQuotInt16(vvv46, vvv474, new_fromInt)
new_primQuotInt8(vvv1013, vvv1054) → new_primQuotInt12(vvv1013, vvv1054, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_primRemInt5(vvv2200) → new_error
new_error → error([])
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primRemInt3(vvv46800) → new_error

The set Q consists of the following terms:

new_rem0(x0)
new_rem(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt5(x0)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 0 SCCs with 2 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Zero, vvv1018, vvv1036) → new_primQuotInt5(vvv1013, new_primMinusNatS2(Succ(vvv103700), Zero), Zero, vvv1018, new_primMinusNatS2(Succ(vvv103700), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Zero, vvv1018, vvv1036) → new_primQuotInt5(vvv1013, new_primMinusNatS2(Succ(vvv103700), Zero), Zero, vvv1018, new_primMinusNatS2(Succ(vvv103700), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Zero, vvv1018, vvv1036) → new_primQuotInt5(vvv1013, new_primMinusNatS2(Succ(vvv103700), Zero), Zero, vvv1018, new_primMinusNatS2(Succ(vvv103700), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Zero, vvv1018, vvv1036) → new_primQuotInt5(vvv1013, new_primMinusNatS2(Succ(vvv103700), Zero), Zero, vvv1018, new_primMinusNatS2(Succ(vvv103700), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt5(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_fromInt

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314)
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt2(vvv1293, vvv1296, vvv1297, vvv1314) → new_primQuotInt4(vvv1293, vvv1296, vvv1297, vvv1314) we obtained the following new rules:

new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240))
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt4(vvv51, vvv2240, vvv520, vvv303) → new_primQuotInt5(vvv51, Succ(vvv2240), vvv520, vvv303, Succ(vvv2240)) we obtained the following new rules:

new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt5(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt5(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Neg(vvv10180), vvv1036) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Neg(vvv12240)) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The remaining pairs can at least be oriented weakly.

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = 1
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 1
POL(new_primQuotInt1(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt10(x₁, x₂, x₃)) = 0
POL(new_primQuotInt11(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt2(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt3(x₁, x₂, x₃)) = 0
POL(new_primQuotInt4(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt5(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt6(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt7(x₁, x₂)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Succ(vvv101800)), vvv1036) → new_primQuotInt1(vvv1013, Zero, vvv101800, Succ(vvv10150), Zero)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Succ(vvv122400))) → new_primQuotInt1(vvv1219, Succ(vvv1220), vvv122400, vvv1221, Succ(vvv1220))

The remaining pairs can at least be oriented weakly.

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Pos(x₁)) = x₁
POL(Succ(x₁)) = 1
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt1(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt10(x₁, x₂, x₃)) = 0
POL(new_primQuotInt11(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt2(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt3(x₁, x₂, x₃)) = 0
POL(new_primQuotInt4(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt5(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt6(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt7(x₁, x₂)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt1(vvv1293, Succ(vvv12940), Zero, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt1(vvv1293, Zero, Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt3(vvv1293, vvv1296, vvv1297)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt3(vvv1293, vvv1296, vvv1297) → new_primQuotInt2(vvv1293, vvv1296, vvv1297, Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero))
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt2(z0, z2, z3, Pos(Zero)) → new_primQuotInt4(z0, z2, z3, Pos(Zero)) we obtained the following new rules:

new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt4(z0, z1, z2, Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt5(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt7(vvv1013, vvv10150) → new_primQuotInt2(vvv1013, Succ(vvv10150), Zero, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt5(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Zero), Succ(vvv10150), Pos(Zero), vvv1036) → new_primQuotInt7(vvv1013, vvv10150)
new_primQuotInt2(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt4(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 4 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Zero, vvv1224) → new_primQuotInt5(vvv1219, new_primMinusNatS2(Succ(vvv1220), vvv1221), vvv1221, vvv1224, new_primMinusNatS2(Succ(vvv1220), vvv1221))

The remaining pairs can at least be oriented weakly.

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	1	\
\	0	/

/	0	0	\
\	1	1	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	0	\
\	0	/

/	0	0	\
\	0	1	/

x₁

/	1	1	\
\	0	0	/

x₂

M( Zero ) =

/	1	\
\	0	/

M( Pos(x₁) ) =

/	0	\
\	0	/

/	1	0	\
\	0	0	/

x₁

Tuple symbols:

M( new_primQuotInt5(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt6(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt2(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt10(x₁, ..., x₃) ) =

[

]

x₁

[

]

x₂

[

]

x₃

M( new_primQuotInt4(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt11(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

Matrix type:
We used a basic matrix type which is not further parametrizeable.

As matrix orders are CE-compatible, we used usable rules w.r.t. argument filtering in the order.
The following usable rules [17] were oriented:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ DependencyGraphProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Zero, vvv1224) → new_primQuotInt11(vvv1219, vvv1220, vvv1221, vvv1224)
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ DependencyGraphProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ UsableRulesProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ DependencyGraphProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ UsableRulesProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ QReductionProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ DependencyGraphProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ UsableRulesProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ QReductionProof

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt5(vvv1013, Succ(Succ(vvv103700)), Succ(vvv10150), vvv1018, vvv1036) → new_primQuotInt6(vvv1013, vvv103700, Succ(vvv10150), vvv103700, vvv10150, vvv1018) we obtained the following new rules:

new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ DependencyGraphProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ UsableRulesProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ QReductionProof

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ NonInfProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The DP Problem is simplified using the Induction Calculus [18] with the following steps:
Note that final constraints are written in bold face.

For Pair new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220) the following chains were created:

We consider the chain new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224), new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220) which results in the following constraint:
(1) (new_primQuotInt6(x4, x5, x6, x7, x8, x9)=new_primQuotInt6(x10, x11, x12, Zero, Succ(x13), Pos(Zero)) ⇒ new_primQuotInt6(x10, x11, x12, Zero, Succ(x13), Pos(Zero))≥new_primQuotInt10(x10, x12, x11))

We simplified constraint (1) using rules (I), (II), (III) which results in the following new constraint:
(2) (new_primQuotInt6(x4, x5, x6, Zero, Succ(x13), Pos(Zero))≥new_primQuotInt10(x4, x6, x5))
We consider the chain new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220) which results in the following constraint:
(3) (new_primQuotInt6(x23, x24, Succ(x25), x24, x25, Pos(Zero))=new_primQuotInt6(x26, x27, x28, Zero, Succ(x29), Pos(Zero)) ⇒ new_primQuotInt6(x26, x27, x28, Zero, Succ(x29), Pos(Zero))≥new_primQuotInt10(x26, x28, x27))

We simplified constraint (3) using rules (I), (II), (III) which results in the following new constraint:
(4) (new_primQuotInt6(x23, Zero, Succ(Succ(x29)), Zero, Succ(x29), Pos(Zero))≥new_primQuotInt10(x23, Succ(Succ(x29)), Zero))

For Pair new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224) the following chains were created:

We consider the chain new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224), new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224) which results in the following constraint:
(5) (new_primQuotInt6(x34, x35, x36, x37, x38, x39)=new_primQuotInt6(x40, x41, x42, Succ(x43), Succ(x44), x45) ⇒ new_primQuotInt6(x40, x41, x42, Succ(x43), Succ(x44), x45)≥new_primQuotInt6(x40, x41, x42, x43, x44, x45))

We simplified constraint (5) using rules (I), (II), (III) which results in the following new constraint:
(6) (new_primQuotInt6(x34, x35, x36, Succ(x43), Succ(x44), x39)≥new_primQuotInt6(x34, x35, x36, x43, x44, x39))
We consider the chain new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224) which results in the following constraint:
(7) (new_primQuotInt6(x55, x56, Succ(x57), x56, x57, Pos(Zero))=new_primQuotInt6(x58, x59, x60, Succ(x61), Succ(x62), x63) ⇒ new_primQuotInt6(x58, x59, x60, Succ(x61), Succ(x62), x63)≥new_primQuotInt6(x58, x59, x60, x61, x62, x63))

We simplified constraint (7) using rules (I), (II), (III) which results in the following new constraint:
(8) (new_primQuotInt6(x55, Succ(x61), Succ(Succ(x62)), Succ(x61), Succ(x62), Pos(Zero))≥new_primQuotInt6(x55, Succ(x61), Succ(Succ(x62)), x61, x62, Pos(Zero)))

For Pair new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)), new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(9) (new_primQuotInt4(x77, x78, Succ(x79), Pos(Zero))=new_primQuotInt4(x80, x81, Succ(x82), Pos(Zero)) ⇒ new_primQuotInt4(x80, x81, Succ(x82), Pos(Zero))≥new_primQuotInt5(x80, Succ(x81), Succ(x82), Pos(Zero), Succ(x81)))

We simplified constraint (9) using rules (I), (II), (III) which results in the following new constraint:
(10) (new_primQuotInt4(x77, x78, Succ(x79), Pos(Zero))≥new_primQuotInt5(x77, Succ(x78), Succ(x79), Pos(Zero), Succ(x78)))

For Pair new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero)), new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) which results in the following constraint:
(11) (new_primQuotInt2(x105, x106, Succ(x107), Pos(Zero))=new_primQuotInt2(x108, x109, Succ(x110), Pos(Zero)) ⇒ new_primQuotInt2(x108, x109, Succ(x110), Pos(Zero))≥new_primQuotInt4(x108, x109, Succ(x110), Pos(Zero)))

We simplified constraint (11) using rules (I), (II), (III) which results in the following new constraint:
(12) (new_primQuotInt2(x105, x106, Succ(x107), Pos(Zero))≥new_primQuotInt4(x105, x106, Succ(x107), Pos(Zero)))

For Pair new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220), new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero)) which results in the following constraint:
(13) (new_primQuotInt10(x114, x116, x115)=new_primQuotInt10(x118, x119, x120) ⇒ new_primQuotInt10(x118, x119, x120)≥new_primQuotInt2(x118, x119, Succ(x120), Pos(Zero)))

We simplified constraint (13) using rules (I), (II), (III) which results in the following new constraint:
(14) (new_primQuotInt10(x114, x116, x115)≥new_primQuotInt2(x114, x116, Succ(x115), Pos(Zero)))

For Pair new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(15) (new_primQuotInt5(x149, Succ(x150), Succ(x151), Pos(Zero), Succ(x150))=new_primQuotInt5(x152, Succ(Succ(x153)), Succ(x154), Pos(Zero), Succ(Succ(x153))) ⇒ new_primQuotInt5(x152, Succ(Succ(x153)), Succ(x154), Pos(Zero), Succ(Succ(x153)))≥new_primQuotInt6(x152, x153, Succ(x154), x153, x154, Pos(Zero)))

We simplified constraint (15) using rules (I), (II), (III) which results in the following new constraint:
(16) (new_primQuotInt5(x149, Succ(Succ(x153)), Succ(x151), Pos(Zero), Succ(Succ(x153)))≥new_primQuotInt6(x149, x153, Succ(x151), x153, x151, Pos(Zero)))

To summarize, we get the following constraints P_≥ for the following pairs.

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
- (new_primQuotInt6(x4, x5, x6, Zero, Succ(x13), Pos(Zero))≥new_primQuotInt10(x4, x6, x5))
- (new_primQuotInt6(x23, Zero, Succ(Succ(x29)), Zero, Succ(x29), Pos(Zero))≥new_primQuotInt10(x23, Succ(Succ(x29)), Zero))
new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
- (new_primQuotInt6(x34, x35, x36, Succ(x43), Succ(x44), x39)≥new_primQuotInt6(x34, x35, x36, x43, x44, x39))
- (new_primQuotInt6(x55, Succ(x61), Succ(Succ(x62)), Succ(x61), Succ(x62), Pos(Zero))≥new_primQuotInt6(x55, Succ(x61), Succ(Succ(x62)), x61, x62, Pos(Zero)))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt4(x77, x78, Succ(x79), Pos(Zero))≥new_primQuotInt5(x77, Succ(x78), Succ(x79), Pos(Zero), Succ(x78)))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
- (new_primQuotInt2(x105, x106, Succ(x107), Pos(Zero))≥new_primQuotInt4(x105, x106, Succ(x107), Pos(Zero)))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
- (new_primQuotInt10(x114, x116, x115)≥new_primQuotInt2(x114, x116, Succ(x115), Pos(Zero)))
new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt5(x149, Succ(Succ(x153)), Succ(x151), Pos(Zero), Succ(Succ(x153)))≥new_primQuotInt6(x149, x153, Succ(x151), x153, x151, Pos(Zero)))

The constraints for P_> respective P_bound are constructed from P_≥ where we just replace every occurence of "t ≥ s" in P_≥ by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for P_bound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation [18]:

POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(c) = -1
POL(new_primQuotInt10(x₁, x₂, x₃)) = x₁ + x₃
POL(new_primQuotInt2(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ - x₄
POL(new_primQuotInt4(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ - x₄
POL(new_primQuotInt5(x₁, x₂, x₃, x₄, x₅)) = -1 + x₁ + x₂ + x₃ - x₄ - x₅
POL(new_primQuotInt6(x₁, x₂, x₃, x₄, x₅, x₆)) = x₁ + x₂ - x₄ + x₅ - x₆

The following pairs are in P_>:

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)

The following pairs are in P_bound:

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Zero, Succ(vvv12230), Pos(Zero)) → new_primQuotInt10(vvv1219, vvv1221, vvv1220)
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))
new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero))

There are no usable rules

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ DependencyGraphProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ UsableRulesProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ QReductionProof

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ NonInfProof

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
new_primQuotInt5(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt6(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt5(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt2(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt4(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt10(vvv1219, vvv1221, vvv1220) → new_primQuotInt2(vvv1219, vvv1221, Succ(vvv1220), Pos(Zero))

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 1 SCC with 4 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ Instantiation

                                                                                                          ↳ QDP

                                                                                                            ↳ DependencyGraphProof

                                                                                                              ↳ QDP

                                                                                                                ↳ QDPOrderProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ DependencyGraphProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ UsableRulesProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ QReductionProof

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ NonInfProof

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPSizeChangeProof

                                                                                                  ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)

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

new_primQuotInt6(vvv1219, vvv1220, vvv1221, Succ(vvv12220), Succ(vvv12230), vvv1224) → new_primQuotInt6(vvv1219, vvv1220, vvv1221, vvv12220, vvv12230, vvv1224)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                  ↳ QDP

                                                                                                    ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                  ↳ QDP

                                                                                                    ↳ UsableRulesProof

                                                                                                      ↳ QDP

                                                                                                        ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ AND

                                                                                                  ↳ QDP

                                                                                                  ↳ QDP

                                                                                                    ↳ UsableRulesProof

                                                                                                      ↳ QDP

                                                                                                        ↳ QReductionProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPSizeChangeProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)

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

new_primQuotInt1(vvv1293, Succ(vvv12940), Succ(vvv12950), vvv1296, vvv1297) → new_primQuotInt1(vvv1293, vvv12940, vvv12950, vvv1296, vvv1297)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt44(vvv51, Neg(Succ(vvv47200)), vvv504) → new_primQuotInt45(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Neg(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Zero, vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Zero, Succ(vvv295000), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt30(vvv1028, Zero, vvv1030, Pos(Succ(vvv103300)), vvv1047) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt45(vvv1068, Zero, vvv1070, Pos(Succ(vvv107300)), vvv1083) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt30(vvv1028, Zero, vvv1030, Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt36(vvv1028, vvv1030)
new_primQuotInt18(vvv51, Pos(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt35(vvv1068, vvv1094) → new_primQuotInt41(vvv1068, vvv1094, new_fromInt)
new_primQuotInt18(vvv51, Pos(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Pos(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt43(vvv51, vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Neg(vvv2950), vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt45(vvv1068, Zero, vvv1070, Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt51(vvv1068, vvv1070)
new_primQuotInt44(vvv51, Pos(Succ(vvv47200)), vvv504) → new_primQuotInt30(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Pos(Succ(Zero)), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Zero)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Succ(vvv295000), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt41(vvv1068, vvv1094, vvv1097) → new_primQuotInt18(vvv1068, vvv1094, vvv1097, vvv1094)
new_primQuotInt36(vvv1028, vvv1030) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt51(vvv1068, vvv1070) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt42(vvv51, vvv47300, vvv29500, vvv472)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Pos(vvv2950), vvv472) → new_primQuotInt43(vvv51, vvv472)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt44(vvv51, Neg(Succ(vvv47200)), vvv504) → new_primQuotInt45(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Neg(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Zero, vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Zero, Succ(vvv295000), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt30(vvv1028, Zero, vvv1030, Pos(Succ(vvv103300)), vvv1047) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt45(vvv1068, Zero, vvv1070, Pos(Succ(vvv107300)), vvv1083) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt30(vvv1028, Zero, vvv1030, Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt36(vvv1028, vvv1030)
new_primQuotInt18(vvv51, Pos(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt35(vvv1068, vvv1094) → new_primQuotInt41(vvv1068, vvv1094, new_fromInt)
new_primQuotInt18(vvv51, Pos(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Pos(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt43(vvv51, vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Neg(vvv2950), vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt45(vvv1068, Zero, vvv1070, Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt51(vvv1068, vvv1070)
new_primQuotInt44(vvv51, Pos(Succ(vvv47200)), vvv504) → new_primQuotInt30(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Pos(Succ(Zero)), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Zero)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Succ(vvv295000), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt41(vvv1068, vvv1094, vvv1097) → new_primQuotInt18(vvv1068, vvv1094, vvv1097, vvv1094)
new_primQuotInt36(vvv1028, vvv1030) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt51(vvv1068, vvv1070) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt42(vvv51, vvv47300, vvv29500, vvv472)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Pos(vvv2950), vvv472) → new_primQuotInt43(vvv51, vvv472)

The TRS R consists of the following rules:

new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primRemInt4(vvv2200) → new_error
new_error → error([])
new_fromInt → Pos(Zero)
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt44(vvv51, Neg(Succ(vvv47200)), vvv504) → new_primQuotInt45(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Zero, Succ(vvv295000), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Zero, vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt30(vvv1028, Zero, vvv1030, Pos(Succ(vvv103300)), vvv1047) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt45(vvv1068, Zero, vvv1070, Pos(Succ(vvv107300)), vvv1083) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt30(vvv1028, Zero, vvv1030, Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt36(vvv1028, vvv1030)
new_primQuotInt18(vvv51, Neg(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt35(vvv1068, vvv1094) → new_primQuotInt41(vvv1068, vvv1094, new_fromInt)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Pos(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt43(vvv51, vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Neg(vvv2950), vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt45(vvv1068, Zero, vvv1070, Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt51(vvv1068, vvv1070)
new_primQuotInt44(vvv51, Pos(Succ(vvv47200)), vvv504) → new_primQuotInt30(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Pos(Succ(Zero)), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Zero)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Succ(vvv295000), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt41(vvv1068, vvv1094, vvv1097) → new_primQuotInt18(vvv1068, vvv1094, vvv1097, vvv1094)
new_primQuotInt36(vvv1028, vvv1030) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt51(vvv1068, vvv1070) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Pos(vvv2950), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt42(vvv51, vvv47300, vvv29500, vvv472)

The TRS R consists of the following rules:

new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primRemInt4(vvv2200) → new_error
new_error → error([])
new_fromInt → Pos(Zero)
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error

The set Q consists of the following terms:

new_rem2(x0)
new_rem1(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt4(x0)

new_primQuotInt44(vvv51, Neg(Succ(vvv47200)), vvv504) → new_primQuotInt45(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Zero, Succ(vvv295000), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Zero, vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt30(vvv1028, Zero, vvv1030, Pos(Succ(vvv103300)), vvv1047) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))
new_primQuotInt45(vvv1068, Zero, vvv1070, Pos(Succ(vvv107300)), vvv1083) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt30(vvv1028, Zero, vvv1030, Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt36(vvv1028, vvv1030)
new_primQuotInt18(vvv51, Neg(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Zero), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Zero), Pos(Succ(vvv29500)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Pos(Zero), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(vvv47300)), Neg(vvv2950), vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt45(vvv1068, Zero, vvv1070, Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt51(vvv1068, vvv1070)
new_primQuotInt44(vvv51, Pos(Succ(vvv47200)), vvv504) → new_primQuotInt30(vvv51, Zero, vvv47200, vvv504, Zero)
new_primQuotInt18(vvv51, Pos(Succ(Zero)), Pos(Succ(Succ(vvv295000))), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Pos(Succ(Succ(vvv473000))), Pos(Succ(Zero)), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt42(vvv51, Succ(vvv473000), Succ(vvv295000), vvv472) → new_primQuotInt42(vvv51, vvv473000, vvv295000, vvv472)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Pos(vvv2950), vvv472) → new_primQuotInt43(vvv51, vvv472)
new_primQuotInt18(vvv51, Neg(Succ(vvv47300)), Neg(Succ(vvv29500)), vvv472) → new_primQuotInt42(vvv51, vvv47300, vvv29500, vvv472)

No rules are removed from R.

Used ordering: POLO with Polynomial interpretation [25]:

POL(Neg(x₁)) = 2·x₁
POL(Pos(x₁)) = 2·x₁
POL(Succ(x₁)) = 2·x₁
POL(Zero) = 0
POL([]) = 0
POL(error(x₁)) = x₁
POL(new_error) = 0
POL(new_fromInt) = 0
POL(new_primQuotInt18(x₁, x₂, x₃, x₄)) = x₁ + x₂ + 2·x₃ + x₄
POL(new_primQuotInt30(x₁, x₂, x₃, x₄, x₅)) = x₁ + 2·x₂ + 2·x₃ + x₄ + 2·x₅
POL(new_primQuotInt35(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt36(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt41(x₁, x₂, x₃)) = x₁ + 2·x₂ + 2·x₃
POL(new_primQuotInt42(x₁, x₂, x₃, x₄)) = x₁ + 2·x₂ + x₃ + x₄
POL(new_primQuotInt43(x₁, x₂)) = x₁ + x₂
POL(new_primQuotInt44(x₁, x₂, x₃)) = x₁ + x₂ + x₃
POL(new_primQuotInt45(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + 2·x₃ + x₄ + 2·x₅
POL(new_primQuotInt51(x₁, x₂)) = x₁ + 2·x₂
POL(new_primRemInt4(x₁)) = x₁
POL(new_primRemInt6(x₁)) = x₁
POL(new_rem1(x₁)) = x₁
POL(new_rem2(x₁)) = x₁

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                            ↳ QDP

                                              ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt51(vvv1068, vvv1070) → new_primQuotInt35(vvv1068, new_rem2(vvv1070))
new_primQuotInt35(vvv1068, vvv1094) → new_primQuotInt41(vvv1068, vvv1094, new_fromInt)
new_primQuotInt43(vvv51, vvv472) → new_primQuotInt44(vvv51, vvv472, new_fromInt)
new_primQuotInt41(vvv1068, vvv1094, vvv1097) → new_primQuotInt18(vvv1068, vvv1094, vvv1097, vvv1094)
new_primQuotInt36(vvv1028, vvv1030) → new_primQuotInt35(vvv1028, new_rem1(vvv1030))

The TRS R consists of the following rules:

new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primRemInt4(vvv2200) → new_error
new_error → error([])
new_fromInt → Pos(Zero)
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error

The set Q consists of the following terms:

new_rem2(x0)
new_rem1(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt4(x0)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 0 SCCs with 5 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Zero, vvv1033, vvv1047) → new_primQuotInt30(vvv1028, new_primMinusNatS2(Succ(vvv104800), Zero), Zero, vvv1033, new_primMinusNatS2(Succ(vvv104800), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Zero, vvv1033, vvv1047) → new_primQuotInt30(vvv1028, new_primMinusNatS2(Succ(vvv104800), Zero), Zero, vvv1033, new_primMinusNatS2(Succ(vvv104800), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Zero, vvv1033, vvv1047) → new_primQuotInt30(vvv1028, new_primMinusNatS2(Succ(vvv104800), Zero), Zero, vvv1033, new_primMinusNatS2(Succ(vvv104800), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Zero, vvv1033, vvv1047) → new_primQuotInt30(vvv1028, new_primMinusNatS2(Succ(vvv104800), Zero), Zero, vvv1033, new_primMinusNatS2(Succ(vvv104800), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt30(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Zero, vvv1073, vvv1083) → new_primQuotInt45(vvv1068, new_primMinusNatS2(Succ(vvv108400), Zero), Zero, vvv1073, new_primMinusNatS2(Succ(vvv108400), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Zero, vvv1073, vvv1083) → new_primQuotInt45(vvv1068, new_primMinusNatS2(Succ(vvv108400), Zero), Zero, vvv1073, new_primMinusNatS2(Succ(vvv108400), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Zero, vvv1073, vvv1083) → new_primQuotInt45(vvv1068, new_primMinusNatS2(Succ(vvv108400), Zero), Zero, vvv1073, new_primMinusNatS2(Succ(vvv108400), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Zero, vvv1073, vvv1083) → new_primQuotInt45(vvv1068, new_primMinusNatS2(Succ(vvv108400), Zero), Zero, vvv1073, new_primMinusNatS2(Succ(vvv108400), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt45(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Zero, vvv1025, vvv1038) → new_primQuotInt17(vvv1020, new_primMinusNatS2(Succ(vvv103900), Zero), Zero, vvv1025, new_primMinusNatS2(Succ(vvv103900), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Zero, vvv1025, vvv1038) → new_primQuotInt17(vvv1020, new_primMinusNatS2(Succ(vvv103900), Zero), Zero, vvv1025, new_primMinusNatS2(Succ(vvv103900), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Zero, vvv1025, vvv1038) → new_primQuotInt17(vvv1020, new_primMinusNatS2(Succ(vvv103900), Zero), Zero, vvv1025, new_primMinusNatS2(Succ(vvv103900), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Zero, vvv1025, vvv1038) → new_primQuotInt17(vvv1020, new_primMinusNatS2(Succ(vvv103900), Zero), Zero, vvv1025, new_primMinusNatS2(Succ(vvv103900), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt17(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt)
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_fromInt

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt26(vvv1300, vvv1303, vvv1304, vvv1319) → new_primQuotInt29(vvv1300, vvv1303, vvv1304, vvv1319) we obtained the following new rules:

new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt32(vvv1265, vvv1268, vvv1269, vvv1291) → new_primQuotInt39(vvv1265, vvv1268, vvv1269, vvv1291) we obtained the following new rules:

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt29(vvv699, vvv700, vvv703, vvv704) → new_primQuotInt30(vvv699, Succ(vvv700), vvv703, vvv704, Succ(vvv700)) we obtained the following new rules:

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Zero, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Zero, Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt29(z0, z1, Zero, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Zero, Pos(Zero), Succ(z1))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt39(vvv436, vvv4410, vvv437, vvv479) → new_primQuotInt17(vvv436, Succ(vvv4410), vvv437, vvv479, Succ(vvv4410)) we obtained the following new rules:

new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt17(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt17(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Succ(vvv119100))) → new_primQuotInt33(vvv1186, Succ(vvv1187), vvv119100, vvv1188, Succ(vvv1187))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Succ(vvv103300)), vvv1047) → new_primQuotInt33(vvv1028, Zero, vvv103300, Succ(vvv10300), Zero)
new_primQuotInt34(vvv1028, vvv10300) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt37(vvv1186, vvv1188, vvv1187) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))

The remaining pairs can at least be oriented weakly.

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = 1
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt17(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt20(x₁, x₂, x₃, x₄, x₅, x₆)) = x₃
POL(new_primQuotInt21(x₁, x₂, x₃, x₄, x₅)) = x₄ + x₅
POL(new_primQuotInt22(x₁, x₂)) = 0
POL(new_primQuotInt23(x₁, x₂)) = x₂
POL(new_primQuotInt25(x₁, x₂, x₃)) = x₂
POL(new_primQuotInt26(x₁, x₂, x₃, x₄)) = x₂ + x₃
POL(new_primQuotInt27(x₁, x₂, x₃, x₄)) = x₃
POL(new_primQuotInt28(x₁, x₂, x₃)) = x₂ + x₃
POL(new_primQuotInt29(x₁, x₂, x₃, x₄)) = x₂
POL(new_primQuotInt30(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt31(x₁, x₂, x₃, x₄, x₅, x₆)) = x₃ + x₆
POL(new_primQuotInt32(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt33(x₁, x₂, x₃, x₄, x₅)) = x₄ + x₅
POL(new_primQuotInt34(x₁, x₂)) = 1
POL(new_primQuotInt37(x₁, x₂, x₃)) = 1 + x₂
POL(new_primQuotInt38(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt39(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt40(x₁, x₂, x₃)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Neg(Zero), vvv1047) → new_primQuotInt34(vvv1028, vvv10300)
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Neg(Zero)) → new_primQuotInt37(vvv1186, vvv1188, vvv1187)
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt33(vvv1265, Zero, Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt40(vvv1265, vvv1268, vvv1269)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt40(vvv1265, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt33(vvv1265, Succ(vvv12660), Zero, vvv1268, vvv1269) → new_primQuotInt32(vvv1265, vvv1268, vvv1269, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 5 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt32(z0, z1, z2, Pos(Zero)) → new_primQuotInt39(z0, z1, z2, Pos(Zero)) we obtained the following new rules:

new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt39(z0, z1, z2, Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt17(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Zero), Succ(vvv10300), Pos(vvv10330), vvv1047) → new_primQuotInt32(vvv1028, Succ(vvv10300), Zero, Pos(Zero))
new_primQuotInt32(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt39(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt17(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Neg(vvv10250), vvv1038) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Neg(vvv12310)) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))

The remaining pairs can at least be oriented weakly.

new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = 1
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt17(x₁, x₂, x₃, x₄, x₅)) = x₃ + x₄
POL(new_primQuotInt20(x₁, x₂, x₃, x₄, x₅, x₆)) = x₃ + x₆
POL(new_primQuotInt21(x₁, x₂, x₃, x₄, x₅)) = x₅
POL(new_primQuotInt22(x₁, x₂)) = 0
POL(new_primQuotInt23(x₁, x₂)) = x₂
POL(new_primQuotInt25(x₁, x₂, x₃)) = 0
POL(new_primQuotInt26(x₁, x₂, x₃, x₄)) = x₃
POL(new_primQuotInt27(x₁, x₂, x₃, x₄)) = x₃ + x₄
POL(new_primQuotInt28(x₁, x₂, x₃)) = x₃
POL(new_primQuotInt29(x₁, x₂, x₃, x₄)) = x₃
POL(new_primQuotInt30(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt31(x₁, x₂, x₃, x₄, x₅, x₆)) = 0
POL(new_primQuotInt32(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt38(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt39(x₁, x₂, x₃, x₄)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Succ(vvv102500)), vvv1038) → new_primQuotInt21(vvv1020, Zero, vvv102500, Succ(vvv10220), Zero)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Succ(vvv123100))) → new_primQuotInt21(vvv1226, Succ(vvv1227), vvv123100, vvv1228, Succ(vvv1227))

The remaining pairs can at least be oriented weakly.

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Pos(x₁)) = x₁
POL(Succ(x₁)) = 1
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt17(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt20(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt21(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt22(x₁, x₂)) = 0
POL(new_primQuotInt23(x₁, x₂)) = 0
POL(new_primQuotInt25(x₁, x₂, x₃)) = 0
POL(new_primQuotInt26(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt27(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt28(x₁, x₂, x₃)) = 0
POL(new_primQuotInt29(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt30(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt31(x₁, x₂, x₃, x₄, x₅, x₆)) = 0
POL(new_primQuotInt32(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt38(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt39(x₁, x₂, x₃, x₄)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt28(vvv1300, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt21(vvv1300, Succ(vvv13010), Zero, vvv1303, vvv1304) → new_primQuotInt26(vvv1300, vvv1303, vvv1304, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
new_primQuotInt21(vvv1300, Zero, Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt28(vvv1300, vvv1303, vvv1304)
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero))
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt26(z0, z1, z2, Pos(Zero)) → new_primQuotInt29(z0, z1, z2, Pos(Zero)) we obtained the following new rules:

new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt29(z0, z1, z2, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt29(z0, z1, Zero, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Zero, Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt17(vvv1020, Succ(Zero), Succ(vvv10220), Pos(Zero), vvv1038) → new_primQuotInt22(vvv1020, vvv10220)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt26(z0, z1, Zero, Pos(Zero)) → new_primQuotInt29(z0, z1, Zero, Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt29(z0, z1, Zero, Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Zero, Pos(Zero), Succ(z1))
new_primQuotInt22(vvv1020, vvv10220) → new_primQuotInt23(vvv1020, Succ(vvv10220))
new_primQuotInt23(vvv1060, vvv1061) → new_primQuotInt26(vvv1060, vvv1061, Zero, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 5 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Zero, vvv1191) → new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Zero, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))

The remaining pairs can at least be oriented weakly.

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	0	\
\	1	/

/	1	1	\
\	0	0	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	0	\
\	1	/

/	1	0	\
\	1	1	/

x₁

/	0	0	\
\	0	0	/

x₂

M( Zero ) =

/	0	\
\	1	/

M( Pos(x₁) ) =

/	1	\
\	1	/

/	0	0	\
\	0	1	/

x₁

Tuple symbols:

M( new_primQuotInt20(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt29(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt32(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt26(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt39(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt31(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt17(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt30(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt25(x₁, ..., x₃) ) =

[

]

x₁

[

]

x₂

[

]

x₃

M( new_primQuotInt27(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt38(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Zero, Zero) → Zero

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt38(vvv1186, vvv1187, vvv1188, vvv1191) → new_primQuotInt30(vvv1186, new_primMinusNatS2(Succ(vvv1187), vvv1188), vvv1188, vvv1191, new_primMinusNatS2(Succ(vvv1187), vvv1188))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033)
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt30(vvv1028, Succ(Succ(vvv104800)), Succ(vvv10300), vvv1033, vvv1047) → new_primQuotInt31(vvv1028, vvv104800, Succ(vvv10300), vvv104800, vvv10300, vvv1033) we obtained the following new rules:

new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Zero, vvv1231) → new_primQuotInt17(vvv1226, new_primMinusNatS2(Succ(vvv1227), vvv1228), vvv1228, vvv1231, new_primMinusNatS2(Succ(vvv1227), vvv1228))

The remaining pairs can at least be oriented weakly.

new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	0	\
\	1	/

/	1	1	\
\	0	0	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	0	\
\	0	/

/	1	0	\
\	0	0	/

x₁

/	0	0	\
\	1	0	/

x₂

M( Zero ) =

/	1	\
\	0	/

M( Pos(x₁) ) =

/	1	\
\	0	/

/	0	0	\
\	0	0	/

x₁

Tuple symbols:

M( new_primQuotInt20(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt32(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt29(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt26(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt39(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt31(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt17(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt30(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt25(x₁, ..., x₃) ) =

[

]

x₁

[

]

x₂

[

]

x₃

M( new_primQuotInt27(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Zero, Zero) → Zero

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Zero, vvv1231) → new_primQuotInt27(vvv1226, vvv1227, vvv1228, vvv1231)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                                                            ↳ QDP

                                                                                                                                                                                              ↳ QReductionProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                                                            ↳ QDP

                                                                                                                                                                                              ↳ QReductionProof

                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                  ↳ Instantiation

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt17(vvv1020, Succ(Succ(vvv103900)), Succ(vvv10220), vvv1025, vvv1038) → new_primQuotInt20(vvv1020, vvv103900, Succ(vvv10220), vvv103900, vvv10220, vvv1025) we obtained the following new rules:

new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                                                            ↳ QDP

                                                                                                                                                                                              ↳ QReductionProof

                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                  ↳ Instantiation

                                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                                      ↳ NonInfProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The DP Problem is simplified using the Induction Calculus [18] with the following steps:
Note that final constraints are written in bold face.

For Pair new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191) the following chains were created:

We consider the chain new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191), new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191) which results in the following constraint:
(1) (new_primQuotInt31(x0, x1, x2, x3, x4, x5)=new_primQuotInt31(x6, x7, x8, Succ(x9), Succ(x10), x11) ⇒ new_primQuotInt31(x6, x7, x8, Succ(x9), Succ(x10), x11)≥new_primQuotInt31(x6, x7, x8, x9, x10, x11))

We simplified constraint (1) using rules (I), (II), (III) which results in the following new constraint:
(2) (new_primQuotInt31(x0, x1, x2, Succ(x9), Succ(x10), x5)≥new_primQuotInt31(x0, x1, x2, x9, x10, x5))
We consider the chain new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191) which results in the following constraint:
(3) (new_primQuotInt31(x26, x27, Succ(x28), x27, x28, Pos(Zero))=new_primQuotInt31(x29, x30, x31, Succ(x32), Succ(x33), x34) ⇒ new_primQuotInt31(x29, x30, x31, Succ(x32), Succ(x33), x34)≥new_primQuotInt31(x29, x30, x31, x32, x33, x34))

We simplified constraint (3) using rules (I), (II), (III) which results in the following new constraint:
(4) (new_primQuotInt31(x26, Succ(x32), Succ(Succ(x33)), Succ(x32), Succ(x33), Pos(Zero))≥new_primQuotInt31(x26, Succ(x32), Succ(Succ(x33)), x32, x33, Pos(Zero)))

For Pair new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231) the following chains were created:

We consider the chain new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231), new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231) which results in the following constraint:
(5) (new_primQuotInt20(x60, x61, x62, x63, x64, x65)=new_primQuotInt20(x66, x67, x68, Succ(x69), Succ(x70), x71) ⇒ new_primQuotInt20(x66, x67, x68, Succ(x69), Succ(x70), x71)≥new_primQuotInt20(x66, x67, x68, x69, x70, x71))

We simplified constraint (5) using rules (I), (II), (III) which results in the following new constraint:
(6) (new_primQuotInt20(x60, x61, x62, Succ(x69), Succ(x70), x65)≥new_primQuotInt20(x60, x61, x62, x69, x70, x65))
We consider the chain new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231) which results in the following constraint:
(7) (new_primQuotInt20(x99, x100, Succ(x101), x100, x101, Pos(Zero))=new_primQuotInt20(x102, x103, x104, Succ(x105), Succ(x106), x107) ⇒ new_primQuotInt20(x102, x103, x104, Succ(x105), Succ(x106), x107)≥new_primQuotInt20(x102, x103, x104, x105, x106, x107))

We simplified constraint (7) using rules (I), (II), (III) which results in the following new constraint:
(8) (new_primQuotInt20(x99, Succ(x105), Succ(Succ(x106)), Succ(x105), Succ(x106), Pos(Zero))≥new_primQuotInt20(x99, Succ(x105), Succ(Succ(x106)), x105, x106, Pos(Zero)))

For Pair new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191), new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero)) which results in the following constraint:
(9) (new_primQuotInt31(x108, x109, x110, x111, x112, x113)=new_primQuotInt31(x114, x115, x116, Zero, Succ(x117), Pos(x118)) ⇒ new_primQuotInt31(x114, x115, x116, Zero, Succ(x117), Pos(x118))≥new_primQuotInt32(x114, x116, Succ(x115), Pos(Zero)))

We simplified constraint (9) using rules (I), (II), (III) which results in the following new constraint:
(10) (new_primQuotInt31(x108, x109, x110, Zero, Succ(x117), Pos(x118))≥new_primQuotInt32(x108, x110, Succ(x109), Pos(Zero)))
We consider the chain new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero)) which results in the following constraint:
(11) (new_primQuotInt31(x133, x134, Succ(x135), x134, x135, Pos(Zero))=new_primQuotInt31(x136, x137, x138, Zero, Succ(x139), Pos(x140)) ⇒ new_primQuotInt31(x136, x137, x138, Zero, Succ(x139), Pos(x140))≥new_primQuotInt32(x136, x138, Succ(x137), Pos(Zero)))

We simplified constraint (11) using rules (I), (II), (III) which results in the following new constraint:
(12) (new_primQuotInt31(x133, Zero, Succ(Succ(x139)), Zero, Succ(x139), Pos(Zero))≥new_primQuotInt32(x133, Succ(Succ(x139)), Succ(Zero), Pos(Zero)))

For Pair new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero)), new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero)) which results in the following constraint:
(13) (new_primQuotInt32(x172, x174, Succ(x173), Pos(Zero))=new_primQuotInt32(x177, x178, Succ(x179), Pos(Zero)) ⇒ new_primQuotInt32(x177, x178, Succ(x179), Pos(Zero))≥new_primQuotInt39(x177, x178, Succ(x179), Pos(Zero)))

We simplified constraint (13) using rules (I), (II), (III) which results in the following new constraint:
(14) (new_primQuotInt32(x172, x174, Succ(x173), Pos(Zero))≥new_primQuotInt39(x172, x174, Succ(x173), Pos(Zero)))

For Pair new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(15) (new_primQuotInt30(x228, Succ(x229), Succ(x230), Pos(Zero), Succ(x229))=new_primQuotInt30(x231, Succ(Succ(x232)), Succ(x233), Pos(Zero), Succ(Succ(x232))) ⇒ new_primQuotInt30(x231, Succ(Succ(x232)), Succ(x233), Pos(Zero), Succ(Succ(x232)))≥new_primQuotInt31(x231, x232, Succ(x233), x232, x233, Pos(Zero)))

We simplified constraint (15) using rules (I), (II), (III) which results in the following new constraint:
(16) (new_primQuotInt30(x228, Succ(Succ(x232)), Succ(x230), Pos(Zero), Succ(Succ(x232)))≥new_primQuotInt31(x228, x232, Succ(x230), x232, x230, Pos(Zero)))

For Pair new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)), new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(17) (new_primQuotInt29(x286, x287, Succ(x288), Pos(Zero))=new_primQuotInt29(x289, x290, Succ(x291), Pos(Zero)) ⇒ new_primQuotInt29(x289, x290, Succ(x291), Pos(Zero))≥new_primQuotInt30(x289, Succ(x290), Succ(x291), Pos(Zero), Succ(x290)))

We simplified constraint (17) using rules (I), (II), (III) which results in the following new constraint:
(18) (new_primQuotInt29(x286, x287, Succ(x288), Pos(Zero))≥new_primQuotInt30(x286, Succ(x287), Succ(x288), Pos(Zero), Succ(x287)))

For Pair new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero)), new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(19) (new_primQuotInt39(x312, x313, Succ(x314), Pos(Zero))=new_primQuotInt39(x315, x316, Succ(x317), Pos(Zero)) ⇒ new_primQuotInt39(x315, x316, Succ(x317), Pos(Zero))≥new_primQuotInt17(x315, Succ(x316), Succ(x317), Pos(Zero), Succ(x316)))

We simplified constraint (19) using rules (I), (II), (III) which results in the following new constraint:
(20) (new_primQuotInt39(x312, x313, Succ(x314), Pos(Zero))≥new_primQuotInt17(x312, Succ(x313), Succ(x314), Pos(Zero), Succ(x313)))

For Pair new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227) the following chains were created:

We consider the chain new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231), new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227) which results in the following constraint:
(21) (new_primQuotInt20(x346, x347, x348, x349, x350, x351)=new_primQuotInt20(x352, x353, x354, Zero, Succ(x355), Pos(Zero)) ⇒ new_primQuotInt20(x352, x353, x354, Zero, Succ(x355), Pos(Zero))≥new_primQuotInt25(x352, x354, x353))

We simplified constraint (21) using rules (I), (II), (III) which results in the following new constraint:
(22) (new_primQuotInt20(x346, x347, x348, Zero, Succ(x355), Pos(Zero))≥new_primQuotInt25(x346, x348, x347))
We consider the chain new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227) which results in the following constraint:
(23) (new_primQuotInt20(x383, x384, Succ(x385), x384, x385, Pos(Zero))=new_primQuotInt20(x386, x387, x388, Zero, Succ(x389), Pos(Zero)) ⇒ new_primQuotInt20(x386, x387, x388, Zero, Succ(x389), Pos(Zero))≥new_primQuotInt25(x386, x388, x387))

We simplified constraint (23) using rules (I), (II), (III) which results in the following new constraint:
(24) (new_primQuotInt20(x383, Zero, Succ(Succ(x389)), Zero, Succ(x389), Pos(Zero))≥new_primQuotInt25(x383, Succ(Succ(x389)), Zero))

For Pair new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227), new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero)) which results in the following constraint:
(25) (new_primQuotInt25(x419, x421, x420)=new_primQuotInt25(x423, x424, x425) ⇒ new_primQuotInt25(x423, x424, x425)≥new_primQuotInt26(x423, x424, Succ(x425), Pos(Zero)))

We simplified constraint (25) using rules (I), (II), (III) which results in the following new constraint:
(26) (new_primQuotInt25(x419, x421, x420)≥new_primQuotInt26(x419, x421, Succ(x420), Pos(Zero)))

For Pair new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero)), new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) which results in the following constraint:
(27) (new_primQuotInt26(x468, x469, Succ(x470), Pos(Zero))=new_primQuotInt26(x471, x472, Succ(x473), Pos(Zero)) ⇒ new_primQuotInt26(x471, x472, Succ(x473), Pos(Zero))≥new_primQuotInt29(x471, x472, Succ(x473), Pos(Zero)))

We simplified constraint (27) using rules (I), (II), (III) which results in the following new constraint:
(28) (new_primQuotInt26(x468, x469, Succ(x470), Pos(Zero))≥new_primQuotInt29(x468, x469, Succ(x470), Pos(Zero)))

For Pair new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(29) (new_primQuotInt17(x506, Succ(x507), Succ(x508), Pos(Zero), Succ(x507))=new_primQuotInt17(x509, Succ(Succ(x510)), Succ(x511), Pos(Zero), Succ(Succ(x510))) ⇒ new_primQuotInt17(x509, Succ(Succ(x510)), Succ(x511), Pos(Zero), Succ(Succ(x510)))≥new_primQuotInt20(x509, x510, Succ(x511), x510, x511, Pos(Zero)))

We simplified constraint (29) using rules (I), (II), (III) which results in the following new constraint:
(30) (new_primQuotInt17(x506, Succ(Succ(x510)), Succ(x508), Pos(Zero), Succ(Succ(x510)))≥new_primQuotInt20(x506, x510, Succ(x508), x510, x508, Pos(Zero)))

To summarize, we get the following constraints P_≥ for the following pairs.

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
- (new_primQuotInt31(x0, x1, x2, Succ(x9), Succ(x10), x5)≥new_primQuotInt31(x0, x1, x2, x9, x10, x5))
- (new_primQuotInt31(x26, Succ(x32), Succ(Succ(x33)), Succ(x32), Succ(x33), Pos(Zero))≥new_primQuotInt31(x26, Succ(x32), Succ(Succ(x33)), x32, x33, Pos(Zero)))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
- (new_primQuotInt20(x60, x61, x62, Succ(x69), Succ(x70), x65)≥new_primQuotInt20(x60, x61, x62, x69, x70, x65))
- (new_primQuotInt20(x99, Succ(x105), Succ(Succ(x106)), Succ(x105), Succ(x106), Pos(Zero))≥new_primQuotInt20(x99, Succ(x105), Succ(Succ(x106)), x105, x106, Pos(Zero)))
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
- (new_primQuotInt31(x108, x109, x110, Zero, Succ(x117), Pos(x118))≥new_primQuotInt32(x108, x110, Succ(x109), Pos(Zero)))
- (new_primQuotInt31(x133, Zero, Succ(Succ(x139)), Zero, Succ(x139), Pos(Zero))≥new_primQuotInt32(x133, Succ(Succ(x139)), Succ(Zero), Pos(Zero)))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
- (new_primQuotInt32(x172, x174, Succ(x173), Pos(Zero))≥new_primQuotInt39(x172, x174, Succ(x173), Pos(Zero)))
new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt30(x228, Succ(Succ(x232)), Succ(x230), Pos(Zero), Succ(Succ(x232)))≥new_primQuotInt31(x228, x232, Succ(x230), x232, x230, Pos(Zero)))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt29(x286, x287, Succ(x288), Pos(Zero))≥new_primQuotInt30(x286, Succ(x287), Succ(x288), Pos(Zero), Succ(x287)))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt39(x312, x313, Succ(x314), Pos(Zero))≥new_primQuotInt17(x312, Succ(x313), Succ(x314), Pos(Zero), Succ(x313)))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
- (new_primQuotInt20(x346, x347, x348, Zero, Succ(x355), Pos(Zero))≥new_primQuotInt25(x346, x348, x347))
- (new_primQuotInt20(x383, Zero, Succ(Succ(x389)), Zero, Succ(x389), Pos(Zero))≥new_primQuotInt25(x383, Succ(Succ(x389)), Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
- (new_primQuotInt25(x419, x421, x420)≥new_primQuotInt26(x419, x421, Succ(x420), Pos(Zero)))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))
- (new_primQuotInt26(x468, x469, Succ(x470), Pos(Zero))≥new_primQuotInt29(x468, x469, Succ(x470), Pos(Zero)))
new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt17(x506, Succ(Succ(x510)), Succ(x508), Pos(Zero), Succ(Succ(x510)))≥new_primQuotInt20(x506, x510, Succ(x508), x510, x508, Pos(Zero)))

POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(c) = -2
POL(new_primQuotInt17(x₁, x₂, x₃, x₄, x₅)) = x₁ - x₂ + x₃ + x₄
POL(new_primQuotInt20(x₁, x₂, x₃, x₄, x₅, x₆)) = -1 + x₁ - x₄ + x₅ - x₆
POL(new_primQuotInt25(x₁, x₂, x₃)) = -1 + x₁
POL(new_primQuotInt26(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₄
POL(new_primQuotInt29(x₁, x₂, x₃, x₄)) = -1 + x₁ - x₄
POL(new_primQuotInt30(x₁, x₂, x₃, x₄, x₅)) = -1 + x₁ - x₂ + x₄ + x₅
POL(new_primQuotInt31(x₁, x₂, x₃, x₄, x₅, x₆)) = -1 + x₁ + x₂ - x₃ - x₄ + x₅ - x₆
POL(new_primQuotInt32(x₁, x₂, x₃, x₄)) = -1 + x₁ - x₂ + x₃ + x₄
POL(new_primQuotInt39(x₁, x₂, x₃, x₄)) = -1 + x₁ - x₂ + x₃ + x₄

The following pairs are in P_>:

new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)

The following pairs are in P_bound:

new_primQuotInt30(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt31(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt20(vvv1226, vvv1227, vvv1228, Zero, Succ(vvv12300), Pos(Zero)) → new_primQuotInt25(vvv1226, vvv1228, vvv1227)
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

There are no usable rules

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                                                            ↳ QDP

                                                                                                                                                                                              ↳ QReductionProof

                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                  ↳ Instantiation

                                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                                      ↳ NonInfProof

                                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
new_primQuotInt31(vvv1186, vvv1187, vvv1188, Zero, Succ(vvv11900), Pos(vvv11910)) → new_primQuotInt32(vvv1186, vvv1188, Succ(vvv1187), Pos(Zero))
new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt30(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt32(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt39(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt39(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt17(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt17(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt20(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt25(vvv1226, vvv1228, vvv1227) → new_primQuotInt26(vvv1226, vvv1228, Succ(vvv1227), Pos(Zero))
new_primQuotInt26(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt29(z0, z1, Succ(z2), Pos(Zero))

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 2 SCCs with 7 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                                                            ↳ QDP

                                                                                                                                                                                              ↳ QReductionProof

                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                  ↳ Instantiation

                                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                                      ↳ NonInfProof

                                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                                                            ↳ AND

                                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                                ↳ QDPSizeChangeProof

                                                                                                                                                                                                              ↳ QDP

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)

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

new_primQuotInt20(vvv1226, vvv1227, vvv1228, Succ(vvv12290), Succ(vvv12300), vvv1231) → new_primQuotInt20(vvv1226, vvv1227, vvv1228, vvv12290, vvv12300, vvv1231)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ Instantiation

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                                                    ↳ QDP

                                                                                                                                                                      ↳ QDPOrderProof

                                                                                                                                                                        ↳ QDP

                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                            ↳ QDP

                                                                                                                                                                              ↳ Instantiation

                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                  ↳ QDPOrderProof

                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                                                            ↳ QDP

                                                                                                                                                                                              ↳ QReductionProof

                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                  ↳ Instantiation

                                                                                                                                                                                                    ↳ QDP

                                                                                                                                                                                                      ↳ NonInfProof

                                                                                                                                                                                                        ↳ QDP

                                                                                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                                                                                            ↳ AND

                                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                                ↳ QDPSizeChangeProof

                                                                                                                                                        ↳ QDP

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)

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

new_primQuotInt31(vvv1186, vvv1187, vvv1188, Succ(vvv11890), Succ(vvv11900), vvv1191) → new_primQuotInt31(vvv1186, vvv1187, vvv1188, vvv11890, vvv11900, vvv1191)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ QReductionProof

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                                ↳ Instantiation

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QDPOrderProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPOrderProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                      ↳ AND

                                                                                                                                                        ↳ QDP

                                                                                                                                                        ↳ QDP

                                                                                                                                                          ↳ UsableRulesProof

                                                                                                                                                            ↳ QDP

                                                                                                                                                              ↳ QReductionProof

                                                                                                                                                                ↳ QDP

                                                                                                                                                                  ↳ QDPSizeChangeProof

                                                                                                                              ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)

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

new_primQuotInt21(vvv1300, Succ(vvv13010), Succ(vvv13020), vvv1303, vvv1304) → new_primQuotInt21(vvv1300, vvv13010, vvv13020, vvv1303, vvv1304)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                              ↳ QDP

                                                                                                                                ↳ UsableRulesProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                              ↳ QDP

                                                                                                                                ↳ UsableRulesProof

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ QReductionProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ UsableRulesProof

                                                                                        ↳ QDP

                                                                                          ↳ QReductionProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ QDPOrderProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ DependencyGraphProof

                                                                                                                            ↳ AND

                                                                                                                              ↳ QDP

                                                                                                                              ↳ QDP

                                                                                                                                ↳ UsableRulesProof

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ QReductionProof

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ QDPSizeChangeProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)

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

new_primQuotInt33(vvv1265, Succ(vvv12660), Succ(vvv12670), vvv1268, vvv1269) → new_primQuotInt33(vvv1265, vvv12660, vvv12670, vvv1268, vvv1269)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_fromInt

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt48(vvv1285, vvv1288, vvv1289, vvv1307) → new_primQuotInt54(vvv1285, vvv1288, vvv1289, vvv1307) we obtained the following new rules:

new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero))
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803))
new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero))
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt54(vvv802, vvv803, vvv806, vvv807) → new_primQuotInt45(vvv802, Succ(vvv803), vvv806, vvv807, Succ(vvv803)) we obtained the following new rules:

new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt45(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt45(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero))
new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero))
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt52(vvv1212, vvv1214, vvv1213) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt50(vvv1068, vvv10700) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Zero)) → new_primQuotInt52(vvv1212, vvv1214, vvv1213)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Neg(Succ(vvv121700))) → new_primQuotInt49(vvv1212, Succ(vvv1213), vvv121700, vvv1214, Succ(vvv1213))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Succ(vvv107300)), vvv1083) → new_primQuotInt49(vvv1068, Zero, vvv107300, Succ(vvv10700), Zero)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Neg(Zero), vvv1083) → new_primQuotInt50(vvv1068, vvv10700)

The remaining pairs can at least be oriented weakly.

new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero))
new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = 1 + x₁
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 1
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt45(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt47(x₁, x₂, x₃, x₄, x₅, x₆)) = x₃ + x₆
POL(new_primQuotInt48(x₁, x₂, x₃, x₄)) = x₂
POL(new_primQuotInt49(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt50(x₁, x₂)) = 1
POL(new_primQuotInt52(x₁, x₂, x₃)) = 1 + x₂
POL(new_primQuotInt53(x₁, x₂, x₃, x₄)) = x₃ + x₄
POL(new_primQuotInt54(x₁, x₂, x₃, x₄)) = x₂
POL(new_primQuotInt55(x₁, x₂, x₃)) = x₂

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt49(vvv1285, Zero, Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt55(vvv1285, vvv1288, vvv1289)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero))
new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt55(vvv1285, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt49(vvv1285, Succ(vvv12860), Zero, vvv1288, vvv1289) → new_primQuotInt48(vvv1285, vvv1288, vvv1289, Pos(Zero))
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero))
new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt48(z0, z1, z2, Pos(Zero)) → new_primQuotInt54(z0, z1, z2, Pos(Zero)) we obtained the following new rules:

new_primQuotInt48(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt54(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt54(z0, z1, z2, Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt45(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt45(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt45(vvv1068, Succ(Zero), Succ(vvv10700), Pos(vvv10730), vvv1083) → new_primQuotInt48(vvv1068, Succ(vvv10700), Zero, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt48(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt54(z0, Succ(z1), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Zero, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Zero, vvv1217) → new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217)

The remaining pairs can at least be oriented weakly.

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	0	\
\	1	/

/	1	1	\
\	0	0	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	0	\
\	1	/

/	1	0	\
\	0	0	/

x₁

/	0	0	\
\	0	0	/

x₂

M( Zero ) =

/	0	\
\	1	/

M( Pos(x₁) ) =

/	1	\
\	1	/

/	0	1	\
\	0	0	/

x₁

Tuple symbols:

M( new_primQuotInt54(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt48(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt47(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt53(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt45(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                                              ↳ QDP

                                                                                                                ↳ DependencyGraphProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt53(vvv1212, vvv1213, vvv1214, vvv1217) → new_primQuotInt45(vvv1212, new_primMinusNatS2(Succ(vvv1213), vvv1214), vvv1214, vvv1217, new_primMinusNatS2(Succ(vvv1213), vvv1214))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                                              ↳ QDP

                                                                                                                ↳ DependencyGraphProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ UsableRulesProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                                              ↳ QDP

                                                                                                                ↳ DependencyGraphProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ UsableRulesProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ QReductionProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                                              ↳ QDP

                                                                                                                ↳ DependencyGraphProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ UsableRulesProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ QReductionProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ Instantiation

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073)
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt45(vvv1068, Succ(Succ(vvv108400)), Succ(vvv10700), vvv1073, vvv1083) → new_primQuotInt47(vvv1068, vvv108400, Succ(vvv10700), vvv108400, vvv10700, vvv1073) we obtained the following new rules:

new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                                              ↳ QDP

                                                                                                                ↳ DependencyGraphProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ UsableRulesProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ QReductionProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ Instantiation

                                                                                                                              ↳ QDP

                                                                                                                                ↳ NonInfProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The DP Problem is simplified using the Induction Calculus [18] with the following steps:
Note that final constraints are written in bold face.

For Pair new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)), new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(1) (new_primQuotInt54(x9, x10, Succ(x11), Pos(Zero))=new_primQuotInt54(x12, x13, Succ(x14), Pos(Zero)) ⇒ new_primQuotInt54(x12, x13, Succ(x14), Pos(Zero))≥new_primQuotInt45(x12, Succ(x13), Succ(x14), Pos(Zero), Succ(x13)))

We simplified constraint (1) using rules (I), (II), (III) which results in the following new constraint:
(2) (new_primQuotInt54(x9, x10, Succ(x11), Pos(Zero))≥new_primQuotInt45(x9, Succ(x10), Succ(x11), Pos(Zero), Succ(x10)))

For Pair new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217) the following chains were created:

We consider the chain new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217), new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217) which results in the following constraint:
(3) (new_primQuotInt47(x26, x27, x28, x29, x30, x31)=new_primQuotInt47(x32, x33, x34, Succ(x35), Succ(x36), x37) ⇒ new_primQuotInt47(x32, x33, x34, Succ(x35), Succ(x36), x37)≥new_primQuotInt47(x32, x33, x34, x35, x36, x37))

We simplified constraint (3) using rules (I), (II), (III) which results in the following new constraint:
(4) (new_primQuotInt47(x26, x27, x28, Succ(x35), Succ(x36), x31)≥new_primQuotInt47(x26, x27, x28, x35, x36, x31))
We consider the chain new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217) which results in the following constraint:
(5) (new_primQuotInt47(x46, x47, Succ(x48), x47, x48, Pos(Zero))=new_primQuotInt47(x49, x50, x51, Succ(x52), Succ(x53), x54) ⇒ new_primQuotInt47(x49, x50, x51, Succ(x52), Succ(x53), x54)≥new_primQuotInt47(x49, x50, x51, x52, x53, x54))

We simplified constraint (5) using rules (I), (II), (III) which results in the following new constraint:
(6) (new_primQuotInt47(x46, Succ(x52), Succ(Succ(x53)), Succ(x52), Succ(x53), Pos(Zero))≥new_primQuotInt47(x46, Succ(x52), Succ(Succ(x53)), x52, x53, Pos(Zero)))

For Pair new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero)), new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) which results in the following constraint:
(7) (new_primQuotInt48(x67, x69, Succ(x68), Pos(Zero))=new_primQuotInt48(x72, x73, Succ(x74), Pos(Zero)) ⇒ new_primQuotInt48(x72, x73, Succ(x74), Pos(Zero))≥new_primQuotInt54(x72, x73, Succ(x74), Pos(Zero)))

We simplified constraint (7) using rules (I), (II), (III) which results in the following new constraint:
(8) (new_primQuotInt48(x67, x69, Succ(x68), Pos(Zero))≥new_primQuotInt54(x67, x69, Succ(x68), Pos(Zero)))

For Pair new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217), new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero)) which results in the following constraint:
(9) (new_primQuotInt47(x81, x82, x83, x84, x85, x86)=new_primQuotInt47(x87, x88, x89, Zero, Succ(x90), Pos(x91)) ⇒ new_primQuotInt47(x87, x88, x89, Zero, Succ(x90), Pos(x91))≥new_primQuotInt48(x87, x89, Succ(x88), Pos(Zero)))

We simplified constraint (9) using rules (I), (II), (III) which results in the following new constraint:
(10) (new_primQuotInt47(x81, x82, x83, Zero, Succ(x90), Pos(x91))≥new_primQuotInt48(x81, x83, Succ(x82), Pos(Zero)))
We consider the chain new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero)) which results in the following constraint:
(11) (new_primQuotInt47(x100, x101, Succ(x102), x101, x102, Pos(Zero))=new_primQuotInt47(x103, x104, x105, Zero, Succ(x106), Pos(x107)) ⇒ new_primQuotInt47(x103, x104, x105, Zero, Succ(x106), Pos(x107))≥new_primQuotInt48(x103, x105, Succ(x104), Pos(Zero)))

We simplified constraint (11) using rules (I), (II), (III) which results in the following new constraint:
(12) (new_primQuotInt47(x100, Zero, Succ(Succ(x106)), Zero, Succ(x106), Pos(Zero))≥new_primQuotInt48(x100, Succ(Succ(x106)), Succ(Zero), Pos(Zero)))

For Pair new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(13) (new_primQuotInt45(x108, Succ(x109), Succ(x110), Pos(Zero), Succ(x109))=new_primQuotInt45(x111, Succ(Succ(x112)), Succ(x113), Pos(Zero), Succ(Succ(x112))) ⇒ new_primQuotInt45(x111, Succ(Succ(x112)), Succ(x113), Pos(Zero), Succ(Succ(x112)))≥new_primQuotInt47(x111, x112, Succ(x113), x112, x113, Pos(Zero)))

We simplified constraint (13) using rules (I), (II), (III) which results in the following new constraint:
(14) (new_primQuotInt45(x108, Succ(Succ(x112)), Succ(x110), Pos(Zero), Succ(Succ(x112)))≥new_primQuotInt47(x108, x112, Succ(x110), x112, x110, Pos(Zero)))

To summarize, we get the following constraints P_≥ for the following pairs.

new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt54(x9, x10, Succ(x11), Pos(Zero))≥new_primQuotInt45(x9, Succ(x10), Succ(x11), Pos(Zero), Succ(x10)))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
- (new_primQuotInt47(x26, x27, x28, Succ(x35), Succ(x36), x31)≥new_primQuotInt47(x26, x27, x28, x35, x36, x31))
- (new_primQuotInt47(x46, Succ(x52), Succ(Succ(x53)), Succ(x52), Succ(x53), Pos(Zero))≥new_primQuotInt47(x46, Succ(x52), Succ(Succ(x53)), x52, x53, Pos(Zero)))
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
- (new_primQuotInt48(x67, x69, Succ(x68), Pos(Zero))≥new_primQuotInt54(x67, x69, Succ(x68), Pos(Zero)))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
- (new_primQuotInt47(x81, x82, x83, Zero, Succ(x90), Pos(x91))≥new_primQuotInt48(x81, x83, Succ(x82), Pos(Zero)))
- (new_primQuotInt47(x100, Zero, Succ(Succ(x106)), Zero, Succ(x106), Pos(Zero))≥new_primQuotInt48(x100, Succ(Succ(x106)), Succ(Zero), Pos(Zero)))
new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt45(x108, Succ(Succ(x112)), Succ(x110), Pos(Zero), Succ(Succ(x112)))≥new_primQuotInt47(x108, x112, Succ(x110), x112, x110, Pos(Zero)))

POL(Pos(x₁)) = 1
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(c) = -1
POL(new_primQuotInt45(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ - x₄ - x₅
POL(new_primQuotInt47(x₁, x₂, x₃, x₄, x₅, x₆)) = 1 + x₁ + x₂ - x₄ + x₅ - x₆
POL(new_primQuotInt48(x₁, x₂, x₃, x₄)) = x₁ + x₃
POL(new_primQuotInt54(x₁, x₂, x₃, x₄)) = x₁ + x₃ - x₄

The following pairs are in P_>:

new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))

The following pairs are in P_bound:

new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt48(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))
new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero))

There are no usable rules

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                                              ↳ QDP

                                                                                                                ↳ DependencyGraphProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ UsableRulesProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ QReductionProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ Instantiation

                                                                                                                              ↳ QDP

                                                                                                                                ↳ NonInfProof

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ DependencyGraphProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt54(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt45(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt45(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt47(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
new_primQuotInt47(vvv1212, vvv1213, vvv1214, Zero, Succ(vvv12160), Pos(vvv12170)) → new_primQuotInt48(vvv1212, vvv1214, Succ(vvv1213), Pos(Zero))

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 1 SCC with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                                ↳ Instantiation

                                                                                                  ↳ QDP

                                                                                                    ↳ Instantiation

                                                                                                      ↳ QDP

                                                                                                        ↳ DependencyGraphProof

                                                                                                          ↳ QDP

                                                                                                            ↳ QDPOrderProof

                                                                                                              ↳ QDP

                                                                                                                ↳ DependencyGraphProof

                                                                                                                  ↳ QDP

                                                                                                                    ↳ UsableRulesProof

                                                                                                                      ↳ QDP

                                                                                                                        ↳ QReductionProof

                                                                                                                          ↳ QDP

                                                                                                                            ↳ Instantiation

                                                                                                                              ↳ QDP

                                                                                                                                ↳ NonInfProof

                                                                                                                                  ↳ QDP

                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ QDPSizeChangeProof

                                                                                              ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)

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

new_primQuotInt47(vvv1212, vvv1213, vvv1214, Succ(vvv12150), Succ(vvv12160), vvv1217) → new_primQuotInt47(vvv1212, vvv1213, vvv1214, vvv12150, vvv12160, vvv1217)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                              ↳ QDP

                                                                                                ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                              ↳ QDP

                                                                                                ↳ UsableRulesProof

                                                                                                  ↳ QDP

                                                                                                    ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ AND

                                                                                              ↳ QDP

                                                                                              ↳ QDP

                                                                                                ↳ UsableRulesProof

                                                                                                  ↳ QDP

                                                                                                    ↳ QReductionProof

                                                                                                      ↳ QDP

                                                                                                        ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)

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

new_primQuotInt49(vvv1285, Succ(vvv12860), Succ(vvv12870), vvv1288, vvv1289) → new_primQuotInt49(vvv1285, vvv12860, vvv12870, vvv1288, vvv1289)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt56(vvv827, vvv828, Succ(vvv8290), Succ(vvv8300), vvv831, vvv832) → new_primQuotInt56(vvv827, vvv828, vvv8290, vvv8300, vvv831, vvv832)

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

new_primQuotInt56(vvv827, vvv828, Succ(vvv8290), Succ(vvv8300), vvv831, vvv832) → new_primQuotInt56(vvv827, vvv828, vvv8290, vvv8300, vvv831, vvv832)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt57(vvv553, Succ(vvv5540), Succ(vvv5550), vvv556, vvv557) → new_primQuotInt57(vvv553, vvv5540, vvv5550, vvv556, vvv557)

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

new_primQuotInt57(vvv553, Succ(vvv5540), Succ(vvv5550), vvv556, vvv557) → new_primQuotInt57(vvv553, vvv5540, vvv5550, vvv556, vvv557)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt58(vvv802, vvv803, Succ(vvv8040), Succ(vvv8050), vvv806, vvv807) → new_primQuotInt58(vvv802, vvv803, vvv8040, vvv8050, vvv806, vvv807)

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

new_primQuotInt58(vvv802, vvv803, Succ(vvv8040), Succ(vvv8050), vvv806, vvv807) → new_primQuotInt58(vvv802, vvv803, vvv8040, vvv8050, vvv806, vvv807)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt59(vvv541, Succ(vvv5420), Succ(vvv5430), vvv544, vvv545) → new_primQuotInt59(vvv541, vvv5420, vvv5430, vvv544, vvv545)

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

new_primQuotInt59(vvv541, Succ(vvv5420), Succ(vvv5430), vvv544, vvv545) → new_primQuotInt59(vvv541, vvv5420, vvv5430, vvv544, vvv545)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt60(vvv820, vvv821, Succ(vvv8220), Succ(vvv8230), vvv824, vvv825) → new_primQuotInt60(vvv820, vvv821, vvv8220, vvv8230, vvv824, vvv825)

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

new_primQuotInt60(vvv820, vvv821, Succ(vvv8220), Succ(vvv8230), vvv824, vvv825) → new_primQuotInt60(vvv820, vvv821, vvv8220, vvv8230, vvv824, vvv825)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt61(vvv527, Succ(vvv5280), Succ(vvv5290), vvv530, vvv531) → new_primQuotInt61(vvv527, vvv5280, vvv5290, vvv530, vvv531)

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

new_primQuotInt61(vvv527, Succ(vvv5280), Succ(vvv5290), vvv530, vvv531) → new_primQuotInt61(vvv527, vvv5280, vvv5290, vvv530, vvv531)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt62(vvv436, vvv437, Succ(vvv4380), Succ(vvv4390), vvv440, vvv441) → new_primQuotInt62(vvv436, vvv437, vvv4380, vvv4390, vvv440, vvv441)

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

new_primQuotInt62(vvv436, vvv437, Succ(vvv4380), Succ(vvv4390), vvv440, vvv441) → new_primQuotInt62(vvv436, vvv437, vvv4380, vvv4390, vvv440, vvv441)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt63(vvv335, Succ(vvv3360), Succ(vvv3370), vvv338, vvv339) → new_primQuotInt63(vvv335, vvv3360, vvv3370, vvv338, vvv339)

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

new_primQuotInt63(vvv335, Succ(vvv3360), Succ(vvv3370), vvv338, vvv339) → new_primQuotInt63(vvv335, vvv3360, vvv3370, vvv338, vvv339)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt64(vvv51, Succ(vvv22500), Succ(vvv111000), vvv224, vvv52) → new_primQuotInt64(vvv51, vvv22500, vvv111000, vvv224, vvv52)

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

new_primQuotInt64(vvv51, Succ(vvv22500), Succ(vvv111000), vvv224, vvv52) → new_primQuotInt64(vvv51, vvv22500, vvv111000, vvv224, vvv52)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt65(vvv699, vvv700, Succ(vvv7010), Succ(vvv7020), vvv703, vvv704) → new_primQuotInt65(vvv699, vvv700, vvv7010, vvv7020, vvv703, vvv704)

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

new_primQuotInt65(vvv699, vvv700, Succ(vvv7010), Succ(vvv7020), vvv703, vvv704) → new_primQuotInt65(vvv699, vvv700, vvv7010, vvv7020, vvv703, vvv704)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt66(vvv521, Succ(vvv5220), Succ(vvv5230), vvv524, vvv525) → new_primQuotInt66(vvv521, vvv5220, vvv5230, vvv524, vvv525)

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

new_primQuotInt66(vvv521, Succ(vvv5220), Succ(vvv5230), vvv524, vvv525) → new_primQuotInt66(vvv521, vvv5220, vvv5230, vvv524, vvv525)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt67(vvv422, vvv423, Succ(vvv4240), Succ(vvv4250), vvv426, vvv427) → new_primQuotInt67(vvv422, vvv423, vvv4240, vvv4250, vvv426, vvv427)

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

new_primQuotInt67(vvv422, vvv423, Succ(vvv4240), Succ(vvv4250), vvv426, vvv427) → new_primQuotInt67(vvv422, vvv423, vvv4240, vvv4250, vvv426, vvv427)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt68(vvv324, Succ(vvv3250), Succ(vvv3260), vvv327, vvv328) → new_primQuotInt68(vvv324, vvv3250, vvv3260, vvv327, vvv328)

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

new_primQuotInt68(vvv324, Succ(vvv3250), Succ(vvv3260), vvv327, vvv328) → new_primQuotInt68(vvv324, vvv3250, vvv3260, vvv327, vvv328)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt69(vvv46, Succ(vvv22300), Succ(vvv108000), vvv222, vvv47) → new_primQuotInt69(vvv46, vvv22300, vvv108000, vvv222, vvv47)

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

new_primQuotInt69(vvv46, Succ(vvv22300), Succ(vvv108000), vvv222, vvv47) → new_primQuotInt69(vvv46, vvv22300, vvv108000, vvv222, vvv47)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt70(vvv46, Succ(vvv2050), Succ(vvv1890), vvv108, vvv47) → new_primQuotInt70(vvv46, vvv2050, vvv1890, vvv108, vvv47)

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

new_primQuotInt70(vvv46, Succ(vvv2050), Succ(vvv1890), vvv108, vvv47) → new_primQuotInt70(vvv46, vvv2050, vvv1890, vvv108, vvv47)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt71(vvv463, vvv464, Succ(vvv4650), Succ(vvv4660), vvv467) → new_primQuotInt71(vvv463, vvv464, vvv4650, vvv4660, vvv467)

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

new_primQuotInt71(vvv463, vvv464, Succ(vvv4650), Succ(vvv4660), vvv467) → new_primQuotInt71(vvv463, vvv464, vvv4650, vvv4660, vvv467)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt72(vvv341, Succ(vvv3420), Succ(vvv3430), vvv344) → new_primQuotInt72(vvv341, vvv3420, vvv3430, vvv344)

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

new_primQuotInt72(vvv341, Succ(vvv3420), Succ(vvv3430), vvv344) → new_primQuotInt72(vvv341, vvv3420, vvv3430, vvv344)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt73(vvv443, vvv444, Succ(vvv4450), Succ(vvv4460), vvv447, vvv448) → new_primQuotInt73(vvv443, vvv444, vvv4450, vvv4460, vvv447, vvv448)

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

new_primQuotInt73(vvv443, vvv444, Succ(vvv4450), Succ(vvv4460), vvv447, vvv448) → new_primQuotInt73(vvv443, vvv444, vvv4450, vvv4460, vvv447, vvv448)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt74(vvv388, Succ(vvv3890), Succ(vvv3900), vvv391, vvv392) → new_primQuotInt74(vvv388, vvv3890, vvv3900, vvv391, vvv392)

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

new_primQuotInt74(vvv388, Succ(vvv3890), Succ(vvv3900), vvv391, vvv392) → new_primQuotInt74(vvv388, vvv3890, vvv3900, vvv391, vvv392)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt75(vvv281, Succ(vvv2820), Succ(vvv2830), vvv284, vvv285) → new_primQuotInt75(vvv281, vvv2820, vvv2830, vvv284, vvv285)

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

new_primQuotInt75(vvv281, Succ(vvv2820), Succ(vvv2830), vvv284, vvv285) → new_primQuotInt75(vvv281, vvv2820, vvv2830, vvv284, vvv285)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt76(vvv657, vvv658, Succ(vvv6590), Succ(vvv6600)) → new_primQuotInt76(vvv657, vvv658, vvv6590, vvv6600)

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

new_primQuotInt76(vvv657, vvv658, Succ(vvv6590), Succ(vvv6600)) → new_primQuotInt76(vvv657, vvv658, vvv6590, vvv6600)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt77(vvv631, vvv632, Succ(vvv6330), Succ(vvv6340)) → new_primQuotInt77(vvv631, vvv632, vvv6330, vvv6340)

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

new_primQuotInt77(vvv631, vvv632, Succ(vvv6330), Succ(vvv6340)) → new_primQuotInt77(vvv631, vvv632, vvv6330, vvv6340)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Pos(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Zero, vvv1011, vvv1034) → new_primQuotInt94(vvv1006, new_primMinusNatS2(Succ(vvv103500), Zero), Zero, vvv1011, new_primMinusNatS2(Succ(vvv103500), Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Zero, vvv1011, vvv1034) → new_primQuotInt94(vvv1006, new_primMinusNatS2(Zero, Zero), Zero, vvv1011, new_primMinusNatS2(Zero, Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt96(vvv115, Pos(Zero), vvv503) → new_primQuotInt90(vvv115, new_error, vvv503, new_error)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt118(vvv115, Succ(vvv471000), Succ(vvv316000), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt120(vvv115, Neg(Zero), vvv505) → new_primQuotInt95(vvv115, new_error, vvv505, new_error)
new_primQuotInt93(vvv115, Pos(Succ(vvv46800)), vvv503) → new_primQuotInt78(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Zero), Zero, vvv875, vvv888) → new_primQuotInt78(vvv870, new_primMinusNatS2(Zero, Zero), Zero, vvv875, new_primMinusNatS2(Zero, Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt118(vvv115, Zero, Succ(vvv316000), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt118(vvv115, Succ(vvv471000), Zero, vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt122(vvv115, Pos(Zero), vvv505) → new_primQuotInt90(vvv115, new_error, vvv505, new_error)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt122(vvv115, Neg(Succ(vvv47000)), vvv505) → new_primQuotInt121(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Zero, vvv1254, vvv1255) → new_primQuotInt121(vvv1249, new_primMinusNatS2(Succ(vvv125600), Zero), Zero, vvv1254, new_primMinusNatS2(Succ(vvv125600), Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt92(vvv115, vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)
new_primQuotInt122(vvv115, Neg(Zero), vvv505) → new_primQuotInt95(vvv115, new_error, vvv505, new_error)
new_primQuotInt121(vvv1249, Zero, vvv1251, Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt127(vvv1249, vvv1251)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Pos(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Pos(vvv3160), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Neg(vvv2890), vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt91(vvv115, vvv46900, vvv28900, vvv468)
new_primQuotInt96(vvv115, Neg(Zero), vvv503) → new_primQuotInt95(vvv115, new_error, vvv503, new_error)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt101(vvv1006, vvv1008) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt106(vvv1041, Succ(Zero), Zero, vvv1046, vvv1052) → new_primQuotInt106(vvv1041, new_primMinusNatS2(Zero, Zero), Zero, vvv1046, new_primMinusNatS2(Zero, Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Zero, vvv875, vvv888) → new_primQuotInt78(vvv870, new_primMinusNatS2(Succ(vvv88900), Zero), Zero, vvv875, new_primMinusNatS2(Succ(vvv88900), Zero))
new_primQuotInt120(vvv115, Pos(Succ(vvv47000)), vvv505) → new_primQuotInt106(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Neg(vvv3160), vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt95(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Zero)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt90(vvv115, Neg(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt84(vvv870, vvv872) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt119(vvv115, vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt93(vvv115, Neg(Succ(vvv46800)), vvv503) → new_primQuotInt94(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt90(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Zero)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt83(vvv870, vvv911) → new_primQuotInt89(vvv870, vvv911, new_fromInt)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt127(vvv1249, vvv1251) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Zero, vvv1046, vvv1052) → new_primQuotInt106(vvv1041, new_primMinusNatS2(Succ(vvv105300), Zero), Zero, vvv1046, new_primMinusNatS2(Succ(vvv105300), Zero))
new_primQuotInt95(vvv115, Neg(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt121(vvv1249, Zero, vvv1251, Pos(Succ(vvv125400)), vvv1255) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt78(vvv870, Zero, vvv872, Pos(Succ(vvv87500)), vvv888) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt112(vvv1041, vvv1043) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt117(vvv1249, vvv1261, vvv1262) → new_primQuotInt95(vvv1249, vvv1261, vvv1262, vvv1261)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt106(vvv1041, Zero, vvv1043, Pos(Succ(vvv104600)), vvv1052) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt95(vvv115, Pos(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt122(vvv115, Pos(Succ(vvv47000)), vvv505) → new_primQuotInt106(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt91(vvv115, Succ(vvv469000), Zero, vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Zero, Succ(vvv289000), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt121(vvv1249, Succ(Zero), Zero, vvv1254, vvv1255) → new_primQuotInt121(vvv1249, new_primMinusNatS2(Zero, Zero), Zero, vvv1254, new_primMinusNatS2(Zero, Zero))
new_primQuotInt111(vvv1249, vvv1261) → new_primQuotInt117(vvv1249, vvv1261, new_fromInt)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt94(vvv1006, Zero, vvv1008, Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt93(vvv115, Pos(Zero), vvv503) → new_primQuotInt90(vvv115, new_error, vvv503, new_error)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt120(vvv115, Pos(Zero), vvv505) → new_primQuotInt90(vvv115, new_error, vvv505, new_error)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt120(vvv115, Neg(Succ(vvv47000)), vvv505) → new_primQuotInt121(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt106(vvv1041, Zero, vvv1043, Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt112(vvv1041, vvv1043)
new_primQuotInt78(vvv870, Zero, vvv872, Neg(Succ(vvv87500)), vvv888) → new_primQuotInt84(vvv870, vvv872)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Pos(vvv2890), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt89(vvv870, vvv911, vvv922) → new_primQuotInt90(vvv870, vvv911, vvv922, vvv911)
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt96(vvv115, Pos(Succ(vvv46800)), vvv503) → new_primQuotInt78(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt94(vvv1006, Zero, vvv1008, Neg(Succ(vvv101100)), vvv1034) → new_primQuotInt101(vvv1006, vvv1008)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt91(vvv115, Succ(vvv469000), Succ(vvv289000), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt96(vvv115, Neg(Succ(vvv46800)), vvv503) → new_primQuotInt94(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt93(vvv115, Neg(Zero), vvv503) → new_primQuotInt95(vvv115, new_error, vvv503, new_error)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt118(vvv115, vvv47100, vvv31600, vvv470)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 9 SCCs with 16 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt121(vvv1249, Zero, vvv1251, Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt127(vvv1249, vvv1251)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Pos(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Pos(vvv3160), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt111(vvv1249, vvv1261) → new_primQuotInt117(vvv1249, vvv1261, new_fromInt)
new_primQuotInt119(vvv115, vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt118(vvv115, Succ(vvv471000), Succ(vvv316000), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt127(vvv1249, vvv1251) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt120(vvv115, Neg(Succ(vvv47000)), vvv505) → new_primQuotInt121(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt120(vvv115, Pos(Succ(vvv47000)), vvv505) → new_primQuotInt106(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt106(vvv1041, Zero, vvv1043, Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt112(vvv1041, vvv1043)
new_primQuotInt95(vvv115, Neg(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Neg(vvv3160), vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt118(vvv115, Succ(vvv471000), Zero, vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt118(vvv115, Zero, Succ(vvv316000), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt121(vvv1249, Zero, vvv1251, Pos(Succ(vvv125400)), vvv1255) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt112(vvv1041, vvv1043) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt117(vvv1249, vvv1261, vvv1262) → new_primQuotInt95(vvv1249, vvv1261, vvv1262, vvv1261)
new_primQuotInt95(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Zero)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt106(vvv1041, Zero, vvv1043, Pos(Succ(vvv104600)), vvv1052) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt95(vvv115, Neg(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt118(vvv115, vvv47100, vvv31600, vvv470)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt121(vvv1249, Zero, vvv1251, Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt127(vvv1249, vvv1251)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Pos(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Pos(vvv3160), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt111(vvv1249, vvv1261) → new_primQuotInt117(vvv1249, vvv1261, new_fromInt)
new_primQuotInt119(vvv115, vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt118(vvv115, Succ(vvv471000), Succ(vvv316000), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt127(vvv1249, vvv1251) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt120(vvv115, Neg(Succ(vvv47000)), vvv505) → new_primQuotInt121(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt120(vvv115, Pos(Succ(vvv47000)), vvv505) → new_primQuotInt106(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt106(vvv1041, Zero, vvv1043, Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt112(vvv1041, vvv1043)
new_primQuotInt95(vvv115, Neg(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Neg(vvv3160), vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt118(vvv115, Succ(vvv471000), Zero, vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt118(vvv115, Zero, Succ(vvv316000), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt121(vvv1249, Zero, vvv1251, Pos(Succ(vvv125400)), vvv1255) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt112(vvv1041, vvv1043) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt117(vvv1249, vvv1261, vvv1262) → new_primQuotInt95(vvv1249, vvv1261, vvv1262, vvv1261)
new_primQuotInt95(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Zero)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt106(vvv1041, Zero, vvv1043, Pos(Succ(vvv104600)), vvv1052) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt95(vvv115, Neg(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt118(vvv115, vvv47100, vvv31600, vvv470)

The TRS R consists of the following rules:

new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_error → error([])
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primRemInt4(vvv2200) → new_error
new_fromInt → Pos(Zero)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt121(vvv1249, Zero, vvv1251, Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt127(vvv1249, vvv1251)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Pos(vvv3160), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Pos(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt111(vvv1249, vvv1261) → new_primQuotInt117(vvv1249, vvv1261, new_fromInt)
new_primQuotInt119(vvv115, vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt118(vvv115, Succ(vvv471000), Succ(vvv316000), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt127(vvv1249, vvv1251) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt120(vvv115, Neg(Succ(vvv47000)), vvv505) → new_primQuotInt121(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt120(vvv115, Pos(Succ(vvv47000)), vvv505) → new_primQuotInt106(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt106(vvv1041, Zero, vvv1043, Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt112(vvv1041, vvv1043)
new_primQuotInt95(vvv115, Neg(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Neg(vvv3160), vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt118(vvv115, Succ(vvv471000), Zero, vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt118(vvv115, Zero, Succ(vvv316000), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt121(vvv1249, Zero, vvv1251, Pos(Succ(vvv125400)), vvv1255) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt112(vvv1041, vvv1043) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt117(vvv1249, vvv1261, vvv1262) → new_primQuotInt95(vvv1249, vvv1261, vvv1262, vvv1261)
new_primQuotInt95(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Zero)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt106(vvv1041, Zero, vvv1043, Pos(Succ(vvv104600)), vvv1052) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt95(vvv115, Neg(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt118(vvv115, vvv47100, vvv31600, vvv470)

The TRS R consists of the following rules:

new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_error → error([])
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primRemInt4(vvv2200) → new_error
new_fromInt → Pos(Zero)

The set Q consists of the following terms:

new_rem2(x0)
new_rem1(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt4(x0)

new_primQuotInt121(vvv1249, Zero, vvv1251, Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt127(vvv1249, vvv1251)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Pos(vvv3160), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Pos(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt118(vvv115, Succ(vvv471000), Succ(vvv316000), vvv470) → new_primQuotInt118(vvv115, vvv471000, vvv316000, vvv470)
new_primQuotInt127(vvv1249, vvv1251) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt120(vvv115, Neg(Succ(vvv47000)), vvv505) → new_primQuotInt121(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt120(vvv115, Pos(Succ(vvv47000)), vvv505) → new_primQuotInt106(vvv115, Zero, vvv47000, vvv505, Zero)
new_primQuotInt106(vvv1041, Zero, vvv1043, Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt112(vvv1041, vvv1043)
new_primQuotInt95(vvv115, Neg(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Zero), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(vvv47100)), Neg(vvv3160), vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt118(vvv115, Succ(vvv471000), Zero, vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt118(vvv115, Zero, Succ(vvv316000), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt121(vvv1249, Zero, vvv1251, Pos(Succ(vvv125400)), vvv1255) → new_primQuotInt111(vvv1249, new_rem2(vvv1251))
new_primQuotInt112(vvv1041, vvv1043) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt95(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv316000))), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Succ(Succ(vvv471000))), Pos(Succ(Zero)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt106(vvv1041, Zero, vvv1043, Pos(Succ(vvv104600)), vvv1052) → new_primQuotInt111(vvv1041, new_rem1(vvv1043))
new_primQuotInt95(vvv115, Neg(Zero), Pos(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Pos(Zero), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt119(vvv115, vvv470)
new_primQuotInt95(vvv115, Neg(Succ(vvv47100)), Neg(Succ(vvv31600)), vvv470) → new_primQuotInt118(vvv115, vvv47100, vvv31600, vvv470)

No rules are removed from R.

Used ordering: POLO with Polynomial interpretation [25]:

POL(Neg(x₁)) = 2 + x₁
POL(Pos(x₁)) = 2·x₁
POL(Succ(x₁)) = 2·x₁
POL(Zero) = 0
POL([]) = 0
POL(error(x₁)) = 2·x₁
POL(new_error) = 0
POL(new_fromInt) = 0
POL(new_primQuotInt106(x₁, x₂, x₃, x₄, x₅)) = x₁ + 2·x₂ + 2·x₃ + x₄ + 2·x₅
POL(new_primQuotInt111(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt112(x₁, x₂)) = 2 + x₁ + 2·x₂
POL(new_primQuotInt117(x₁, x₂, x₃)) = x₁ + 2·x₂ + 2·x₃
POL(new_primQuotInt118(x₁, x₂, x₃, x₄)) = x₁ + 2·x₂ + 2·x₃ + x₄
POL(new_primQuotInt119(x₁, x₂)) = x₁ + x₂
POL(new_primQuotInt120(x₁, x₂, x₃)) = x₁ + x₂ + x₃
POL(new_primQuotInt121(x₁, x₂, x₃, x₄, x₅)) = x₁ + 2·x₂ + 2·x₃ + x₄ + 2·x₅
POL(new_primQuotInt127(x₁, x₂)) = 1 + x₁ + 2·x₂
POL(new_primQuotInt95(x₁, x₂, x₃, x₄)) = x₁ + x₂ + x₃ + x₄
POL(new_primRemInt4(x₁)) = x₁
POL(new_primRemInt6(x₁)) = x₁
POL(new_rem1(x₁)) = x₁
POL(new_rem2(x₁)) = x₁

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                            ↳ QDP

                                              ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt111(vvv1249, vvv1261) → new_primQuotInt117(vvv1249, vvv1261, new_fromInt)
new_primQuotInt119(vvv115, vvv470) → new_primQuotInt120(vvv115, vvv470, new_fromInt)
new_primQuotInt117(vvv1249, vvv1261, vvv1262) → new_primQuotInt95(vvv1249, vvv1261, vvv1262, vvv1261)

The TRS R consists of the following rules:

new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_error → error([])
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primRemInt4(vvv2200) → new_error
new_fromInt → Pos(Zero)

The set Q consists of the following terms:

new_rem2(x0)
new_rem1(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt4(x0)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 0 SCCs with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Zero, vvv1046, vvv1052) → new_primQuotInt106(vvv1041, new_primMinusNatS2(Succ(vvv105300), Zero), Zero, vvv1046, new_primMinusNatS2(Succ(vvv105300), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Zero, vvv1046, vvv1052) → new_primQuotInt106(vvv1041, new_primMinusNatS2(Succ(vvv105300), Zero), Zero, vvv1046, new_primMinusNatS2(Succ(vvv105300), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Zero, vvv1046, vvv1052) → new_primQuotInt106(vvv1041, new_primMinusNatS2(Succ(vvv105300), Zero), Zero, vvv1046, new_primMinusNatS2(Succ(vvv105300), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Zero, vvv1046, vvv1052) → new_primQuotInt106(vvv1041, new_primMinusNatS2(Succ(vvv105300), Zero), Zero, vvv1046, new_primMinusNatS2(Succ(vvv105300), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt106(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Zero, vvv1254, vvv1255) → new_primQuotInt121(vvv1249, new_primMinusNatS2(Succ(vvv125600), Zero), Zero, vvv1254, new_primMinusNatS2(Succ(vvv125600), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Zero, vvv1254, vvv1255) → new_primQuotInt121(vvv1249, new_primMinusNatS2(Succ(vvv125600), Zero), Zero, vvv1254, new_primMinusNatS2(Succ(vvv125600), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Zero, vvv1254, vvv1255) → new_primQuotInt121(vvv1249, new_primMinusNatS2(Succ(vvv125600), Zero), Zero, vvv1254, new_primMinusNatS2(Succ(vvv125600), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Zero, vvv1254, vvv1255) → new_primQuotInt121(vvv1249, new_primMinusNatS2(Succ(vvv125600), Zero), Zero, vvv1254, new_primMinusNatS2(Succ(vvv125600), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt121(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_fromInt

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt124(vvv1334, vvv1337, vvv1338, vvv1339) → new_primQuotInt130(vvv1334, vvv1337, vvv1338, vvv1339) we obtained the following new rules:

new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero))
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero))
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt130(vvv813, vvv814, vvv817, vvv818) → new_primQuotInt121(vvv813, Succ(vvv814), vvv817, vvv818, Succ(vvv814)) we obtained the following new rules:

new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt121(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt121(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero))
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero))
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Succ(vvv125400)), vvv1255) → new_primQuotInt125(vvv1249, Zero, vvv125400, Succ(vvv12510), Zero)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Succ(vvv132700))) → new_primQuotInt125(vvv1322, Succ(vvv1323), vvv132700, vvv1324, Succ(vvv1323))
new_primQuotInt125(vvv1334, Succ(vvv13350), Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt125(vvv1334, vvv13350, vvv13360, vvv1337, vvv1338)
new_primQuotInt131(vvv1334, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))

The remaining pairs can at least be oriented weakly.

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = x₁
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt121(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt123(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt124(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt125(x₁, x₂, x₃, x₄, x₅)) = x₃
POL(new_primQuotInt126(x₁, x₂)) = 0
POL(new_primQuotInt128(x₁, x₂, x₃)) = 0
POL(new_primQuotInt129(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt130(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt131(x₁, x₂, x₃)) = 1

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt125(vvv1334, Succ(vvv13350), Zero, vvv1337, vvv1338) → new_primQuotInt124(vvv1334, vvv1337, vvv1338, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt125(vvv1334, Zero, Succ(vvv13360), vvv1337, vvv1338) → new_primQuotInt131(vvv1334, vvv1337, vvv1338)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt124(z0, z2, z3, Pos(Zero)) → new_primQuotInt130(z0, z2, z3, Pos(Zero)) we obtained the following new rules:

new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt124(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt130(z0, z1, z2, Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt121(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt126(vvv1249, vvv12510) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt124(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Neg(Zero), vvv1255) → new_primQuotInt126(vvv1249, vvv12510)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt130(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt121(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt121(vvv1249, Succ(Zero), Succ(vvv12510), Pos(vvv12540), vvv1255) → new_primQuotInt124(vvv1249, Succ(vvv12510), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 5 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Neg(Zero)) → new_primQuotInt128(vvv1322, vvv1324, vvv1323)

The remaining pairs can at least be oriented weakly.

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = x₁
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 1
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt121(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt123(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt124(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt128(x₁, x₂, x₃)) = 0
POL(new_primQuotInt129(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt130(x₁, x₂, x₃, x₄)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt128(vvv1322, vvv1324, vvv1323) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Zero, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))
new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327) → new_primQuotInt121(vvv1322, new_primMinusNatS2(Succ(vvv1323), vvv1324), vvv1324, vvv1327, new_primMinusNatS2(Succ(vvv1323), vvv1324))

The remaining pairs can at least be oriented weakly.

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	1	\
\	0	/

/	0	0	\
\	1	1	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	1	\
\	0	/

/	0	1	\
\	0	1	/

x₁

/	0	0	\
\	0	0	/

x₂

M( Zero ) =

/	0	\
\	0	/

M( Pos(x₁) ) =

/	1	\
\	0	/

/	0	0	\
\	0	0	/

x₁

Tuple symbols:

M( new_primQuotInt123(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt129(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt121(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt124(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt130(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Zero, vvv1327) → new_primQuotInt129(vvv1322, vvv1323, vvv1324, vvv1327)
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ UsableRulesProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ UsableRulesProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QReductionProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ Instantiation

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254)
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt121(vvv1249, Succ(Succ(vvv125600)), Succ(vvv12510), vvv1254, vvv1255) → new_primQuotInt123(vvv1249, vvv125600, Succ(vvv12510), vvv125600, vvv12510, vvv1254) we obtained the following new rules:

new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ UsableRulesProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QReductionProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ Instantiation

                                                                                                                                    ↳ QDP

                                                                                                                                      ↳ NonInfProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The DP Problem is simplified using the Induction Calculus [18] with the following steps:
Note that final constraints are written in bold face.

For Pair new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327), new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero)) which results in the following constraint:
(1) (new_primQuotInt123(x5, x6, x7, x8, x9, x10)=new_primQuotInt123(x11, x12, x13, Zero, Succ(x14), Pos(x15)) ⇒ new_primQuotInt123(x11, x12, x13, Zero, Succ(x14), Pos(x15))≥new_primQuotInt124(x11, x13, Succ(x12), Pos(Zero)))

We simplified constraint (1) using rules (I), (II), (III) which results in the following new constraint:
(2) (new_primQuotInt123(x5, x6, x7, Zero, Succ(x14), Pos(x15))≥new_primQuotInt124(x5, x7, Succ(x6), Pos(Zero)))
We consider the chain new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero)) which results in the following constraint:
(3) (new_primQuotInt123(x22, x23, Succ(x24), x23, x24, Pos(Zero))=new_primQuotInt123(x25, x26, x27, Zero, Succ(x28), Pos(x29)) ⇒ new_primQuotInt123(x25, x26, x27, Zero, Succ(x28), Pos(x29))≥new_primQuotInt124(x25, x27, Succ(x26), Pos(Zero)))

We simplified constraint (3) using rules (I), (II), (III) which results in the following new constraint:
(4) (new_primQuotInt123(x22, Zero, Succ(Succ(x28)), Zero, Succ(x28), Pos(Zero))≥new_primQuotInt124(x22, Succ(Succ(x28)), Succ(Zero), Pos(Zero)))

For Pair new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327) the following chains were created:

We consider the chain new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327), new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327) which results in the following constraint:
(5) (new_primQuotInt123(x35, x36, x37, x38, x39, x40)=new_primQuotInt123(x41, x42, x43, Succ(x44), Succ(x45), x46) ⇒ new_primQuotInt123(x41, x42, x43, Succ(x44), Succ(x45), x46)≥new_primQuotInt123(x41, x42, x43, x44, x45, x46))

We simplified constraint (5) using rules (I), (II), (III) which results in the following new constraint:
(6) (new_primQuotInt123(x35, x36, x37, Succ(x44), Succ(x45), x40)≥new_primQuotInt123(x35, x36, x37, x44, x45, x40))
We consider the chain new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327) which results in the following constraint:
(7) (new_primQuotInt123(x53, x54, Succ(x55), x54, x55, Pos(Zero))=new_primQuotInt123(x56, x57, x58, Succ(x59), Succ(x60), x61) ⇒ new_primQuotInt123(x56, x57, x58, Succ(x59), Succ(x60), x61)≥new_primQuotInt123(x56, x57, x58, x59, x60, x61))

We simplified constraint (7) using rules (I), (II), (III) which results in the following new constraint:
(8) (new_primQuotInt123(x53, Succ(x59), Succ(Succ(x60)), Succ(x59), Succ(x60), Pos(Zero))≥new_primQuotInt123(x53, Succ(x59), Succ(Succ(x60)), x59, x60, Pos(Zero)))

For Pair new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero)), new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(9) (new_primQuotInt130(x76, x77, Succ(x78), Pos(Zero))=new_primQuotInt130(x79, x80, Succ(x81), Pos(Zero)) ⇒ new_primQuotInt130(x79, x80, Succ(x81), Pos(Zero))≥new_primQuotInt121(x79, Succ(x80), Succ(x81), Pos(Zero), Succ(x80)))

We simplified constraint (9) using rules (I), (II), (III) which results in the following new constraint:
(10) (new_primQuotInt130(x76, x77, Succ(x78), Pos(Zero))≥new_primQuotInt121(x76, Succ(x77), Succ(x78), Pos(Zero), Succ(x77)))

For Pair new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero)), new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero)) which results in the following constraint:
(11) (new_primQuotInt124(x85, x87, Succ(x86), Pos(Zero))=new_primQuotInt124(x90, x91, Succ(x92), Pos(Zero)) ⇒ new_primQuotInt124(x90, x91, Succ(x92), Pos(Zero))≥new_primQuotInt130(x90, x91, Succ(x92), Pos(Zero)))

We simplified constraint (11) using rules (I), (II), (III) which results in the following new constraint:
(12) (new_primQuotInt124(x85, x87, Succ(x86), Pos(Zero))≥new_primQuotInt130(x85, x87, Succ(x86), Pos(Zero)))

For Pair new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(13) (new_primQuotInt121(x119, Succ(x120), Succ(x121), Pos(Zero), Succ(x120))=new_primQuotInt121(x122, Succ(Succ(x123)), Succ(x124), Pos(Zero), Succ(Succ(x123))) ⇒ new_primQuotInt121(x122, Succ(Succ(x123)), Succ(x124), Pos(Zero), Succ(Succ(x123)))≥new_primQuotInt123(x122, x123, Succ(x124), x123, x124, Pos(Zero)))

We simplified constraint (13) using rules (I), (II), (III) which results in the following new constraint:
(14) (new_primQuotInt121(x119, Succ(Succ(x123)), Succ(x121), Pos(Zero), Succ(Succ(x123)))≥new_primQuotInt123(x119, x123, Succ(x121), x123, x121, Pos(Zero)))

To summarize, we get the following constraints P_≥ for the following pairs.

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
- (new_primQuotInt123(x5, x6, x7, Zero, Succ(x14), Pos(x15))≥new_primQuotInt124(x5, x7, Succ(x6), Pos(Zero)))
- (new_primQuotInt123(x22, Zero, Succ(Succ(x28)), Zero, Succ(x28), Pos(Zero))≥new_primQuotInt124(x22, Succ(Succ(x28)), Succ(Zero), Pos(Zero)))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
- (new_primQuotInt123(x35, x36, x37, Succ(x44), Succ(x45), x40)≥new_primQuotInt123(x35, x36, x37, x44, x45, x40))
- (new_primQuotInt123(x53, Succ(x59), Succ(Succ(x60)), Succ(x59), Succ(x60), Pos(Zero))≥new_primQuotInt123(x53, Succ(x59), Succ(Succ(x60)), x59, x60, Pos(Zero)))
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt130(x76, x77, Succ(x78), Pos(Zero))≥new_primQuotInt121(x76, Succ(x77), Succ(x78), Pos(Zero), Succ(x77)))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
- (new_primQuotInt124(x85, x87, Succ(x86), Pos(Zero))≥new_primQuotInt130(x85, x87, Succ(x86), Pos(Zero)))
new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt121(x119, Succ(Succ(x123)), Succ(x121), Pos(Zero), Succ(Succ(x123)))≥new_primQuotInt123(x119, x123, Succ(x121), x123, x121, Pos(Zero)))

POL(Pos(x₁)) = 1
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(c) = -1
POL(new_primQuotInt121(x₁, x₂, x₃, x₄, x₅)) = 1 + x₁ + x₃
POL(new_primQuotInt123(x₁, x₂, x₃, x₄, x₅, x₆)) = 1 + x₁ + x₂ - x₄ + x₅ + x₆
POL(new_primQuotInt124(x₁, x₂, x₃, x₄)) = 1 + x₁ + x₃ + x₄
POL(new_primQuotInt130(x₁, x₂, x₃, x₄)) = 1 + x₁ + x₃ + x₄

The following pairs are in P_>:

new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

The following pairs are in P_bound:

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt130(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt121(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero))

There are no usable rules

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ UsableRulesProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QReductionProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ Instantiation

                                                                                                                                    ↳ QDP

                                                                                                                                      ↳ NonInfProof

                                                                                                                                        ↳ QDP

                                                                                                                                          ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Zero, Succ(vvv13260), Pos(vvv13270)) → new_primQuotInt124(vvv1322, vvv1324, Succ(vvv1323), Pos(Zero))
new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
new_primQuotInt121(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt123(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt124(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt130(z0, z2, Succ(z1), Pos(Zero))

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 1 SCC with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ DependencyGraphProof

                                                                                            ↳ QDP

                                                                                              ↳ Instantiation

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ DependencyGraphProof

                                                                                                        ↳ QDP

                                                                                                          ↳ QDPOrderProof

                                                                                                            ↳ QDP

                                                                                                              ↳ DependencyGraphProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ QDPOrderProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ UsableRulesProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QReductionProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ Instantiation

                                                                                                                                    ↳ QDP

                                                                                                                                      ↳ NonInfProof

                                                                                                                                        ↳ QDP

                                                                                                                                          ↳ DependencyGraphProof

                                                                                                                                            ↳ QDP

                                                                                                                                              ↳ QDPSizeChangeProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)

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

new_primQuotInt123(vvv1322, vvv1323, vvv1324, Succ(vvv13250), Succ(vvv13260), vvv1327) → new_primQuotInt123(vvv1322, vvv1323, vvv1324, vvv13250, vvv13260, vvv1327)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt84(vvv870, vvv872) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Pos(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Zero, vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Zero, Succ(vvv289000), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Neg(vvv2890), vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt91(vvv115, vvv46900, vvv28900, vvv468)
new_primQuotInt93(vvv115, Neg(Succ(vvv46800)), vvv503) → new_primQuotInt94(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt90(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Zero)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt83(vvv870, vvv911) → new_primQuotInt89(vvv870, vvv911, new_fromInt)
new_primQuotInt93(vvv115, Pos(Succ(vvv46800)), vvv503) → new_primQuotInt78(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt101(vvv1006, vvv1008) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt78(vvv870, Zero, vvv872, Neg(Succ(vvv87500)), vvv888) → new_primQuotInt84(vvv870, vvv872)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Pos(vvv2890), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt78(vvv870, Zero, vvv872, Pos(Succ(vvv87500)), vvv888) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt89(vvv870, vvv911, vvv922) → new_primQuotInt90(vvv870, vvv911, vvv922, vvv911)
new_primQuotInt90(vvv115, Neg(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Neg(Succ(vvv101100)), vvv1034) → new_primQuotInt101(vvv1006, vvv1008)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Succ(vvv289000), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt92(vvv115, vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt84(vvv870, vvv872) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Pos(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Zero, vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Zero, Succ(vvv289000), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Neg(vvv2890), vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt91(vvv115, vvv46900, vvv28900, vvv468)
new_primQuotInt93(vvv115, Neg(Succ(vvv46800)), vvv503) → new_primQuotInt94(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt90(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Zero)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt83(vvv870, vvv911) → new_primQuotInt89(vvv870, vvv911, new_fromInt)
new_primQuotInt93(vvv115, Pos(Succ(vvv46800)), vvv503) → new_primQuotInt78(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt101(vvv1006, vvv1008) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt78(vvv870, Zero, vvv872, Neg(Succ(vvv87500)), vvv888) → new_primQuotInt84(vvv870, vvv872)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Pos(vvv2890), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt78(vvv870, Zero, vvv872, Pos(Succ(vvv87500)), vvv888) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt89(vvv870, vvv911, vvv922) → new_primQuotInt90(vvv870, vvv911, vvv922, vvv911)
new_primQuotInt90(vvv115, Neg(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Neg(Succ(vvv101100)), vvv1034) → new_primQuotInt101(vvv1006, vvv1008)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Succ(vvv289000), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt92(vvv115, vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)

The TRS R consists of the following rules:

new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primRemInt3(vvv46800) → new_error
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_primRemInt5(vvv2200) → new_error
new_fromInt → Pos(Zero)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_primMinusNatS2(Succ(x0), Zero)
new_rem2(x0)
new_rem1(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt4(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt90(vvv115, Pos(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Pos(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt84(vvv870, vvv872) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt91(vvv115, Zero, Succ(vvv289000), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Zero, vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Neg(vvv2890), vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt91(vvv115, vvv46900, vvv28900, vvv468)
new_primQuotInt93(vvv115, Neg(Succ(vvv46800)), vvv503) → new_primQuotInt94(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Zero)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt83(vvv870, vvv911) → new_primQuotInt89(vvv870, vvv911, new_fromInt)
new_primQuotInt93(vvv115, Pos(Succ(vvv46800)), vvv503) → new_primQuotInt78(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt101(vvv1006, vvv1008) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt78(vvv870, Zero, vvv872, Neg(Succ(vvv87500)), vvv888) → new_primQuotInt84(vvv870, vvv872)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Pos(vvv2890), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt78(vvv870, Zero, vvv872, Pos(Succ(vvv87500)), vvv888) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt89(vvv870, vvv911, vvv922) → new_primQuotInt90(vvv870, vvv911, vvv922, vvv911)
new_primQuotInt90(vvv115, Neg(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Neg(Succ(vvv101100)), vvv1034) → new_primQuotInt101(vvv1006, vvv1008)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Succ(vvv289000), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt92(vvv115, vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)

The TRS R consists of the following rules:

new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primRemInt3(vvv46800) → new_error
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_primRemInt5(vvv2200) → new_error
new_fromInt → Pos(Zero)

The set Q consists of the following terms:

new_rem0(x0)
new_rem(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt5(x0)

new_primQuotInt90(vvv115, Pos(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Pos(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Zero, Succ(vvv289000), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Zero, vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt90(vvv115, Pos(Succ(vvv46900)), Neg(vvv2890), vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt91(vvv115, vvv46900, vvv28900, vvv468)
new_primQuotInt93(vvv115, Neg(Succ(vvv46800)), vvv503) → new_primQuotInt94(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Zero)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Succ(Zero)), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt93(vvv115, Pos(Succ(vvv46800)), vvv503) → new_primQuotInt78(vvv115, Zero, vvv46800, vvv503, Zero)
new_primQuotInt101(vvv1006, vvv1008) → new_primQuotInt83(vvv1006, new_rem0(vvv1008))
new_primQuotInt78(vvv870, Zero, vvv872, Neg(Succ(vvv87500)), vvv888) → new_primQuotInt84(vvv870, vvv872)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Pos(vvv2890), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Succ(vvv46900)), Neg(Zero), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Neg(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt78(vvv870, Zero, vvv872, Pos(Succ(vvv87500)), vvv888) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt90(vvv115, Neg(Zero), Pos(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt90(vvv115, Pos(Zero), Neg(Succ(vvv28900)), vvv468) → new_primQuotInt92(vvv115, vvv468)
new_primQuotInt94(vvv1006, Zero, vvv1008, Neg(Succ(vvv101100)), vvv1034) → new_primQuotInt101(vvv1006, vvv1008)
new_primQuotInt90(vvv115, Pos(Succ(Succ(vvv469000))), Pos(Succ(Succ(vvv289000))), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)
new_primQuotInt91(vvv115, Succ(vvv469000), Succ(vvv289000), vvv468) → new_primQuotInt91(vvv115, vvv469000, vvv289000, vvv468)

No rules are removed from R.

Used ordering: POLO with Polynomial interpretation [25]:

POL(Neg(x₁)) = 1 + x₁
POL(Pos(x₁)) = x₁
POL(Succ(x₁)) = 2·x₁
POL(Zero) = 0
POL([]) = 0
POL(error(x₁)) = 2·x₁
POL(new_error) = 0
POL(new_fromInt) = 0
POL(new_primQuotInt101(x₁, x₂)) = 1 + x₁ + 2·x₂
POL(new_primQuotInt78(x₁, x₂, x₃, x₄, x₅)) = x₁ + 2·x₂ + 2·x₃ + 2·x₄ + 2·x₅
POL(new_primQuotInt83(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt84(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt89(x₁, x₂, x₃)) = x₁ + 2·x₂ + 2·x₃
POL(new_primQuotInt90(x₁, x₂, x₃, x₄)) = x₁ + x₂ + x₃ + x₄
POL(new_primQuotInt91(x₁, x₂, x₃, x₄)) = x₁ + 2·x₂ + x₃ + x₄
POL(new_primQuotInt92(x₁, x₂)) = x₁ + x₂
POL(new_primQuotInt93(x₁, x₂, x₃)) = x₁ + x₂ + 2·x₃
POL(new_primQuotInt94(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + 2·x₃ + 2·x₄ + x₅
POL(new_primRemInt3(x₁)) = x₁
POL(new_primRemInt5(x₁)) = x₁
POL(new_rem(x₁)) = x₁
POL(new_rem0(x₁)) = x₁

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ UsableRulesReductionPairsProof

                                            ↳ QDP

                                              ↳ DependencyGraphProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt84(vvv870, vvv872) → new_primQuotInt83(vvv870, new_rem(vvv872))
new_primQuotInt83(vvv870, vvv911) → new_primQuotInt89(vvv870, vvv911, new_fromInt)
new_primQuotInt92(vvv115, vvv468) → new_primQuotInt93(vvv115, vvv468, new_fromInt)
new_primQuotInt89(vvv870, vvv911, vvv922) → new_primQuotInt90(vvv870, vvv911, vvv922, vvv911)

The TRS R consists of the following rules:

new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primRemInt3(vvv46800) → new_error
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_primRemInt5(vvv2200) → new_error
new_fromInt → Pos(Zero)

The set Q consists of the following terms:

new_rem0(x0)
new_rem(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt5(x0)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 0 SCCs with 4 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Zero, vvv875, vvv888) → new_primQuotInt78(vvv870, new_primMinusNatS2(Succ(vvv88900), Zero), Zero, vvv875, new_primMinusNatS2(Succ(vvv88900), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Zero, vvv875, vvv888) → new_primQuotInt78(vvv870, new_primMinusNatS2(Succ(vvv88900), Zero), Zero, vvv875, new_primMinusNatS2(Succ(vvv88900), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Zero, vvv875, vvv888) → new_primQuotInt78(vvv870, new_primMinusNatS2(Succ(vvv88900), Zero), Zero, vvv875, new_primMinusNatS2(Succ(vvv88900), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Zero, vvv875, vvv888) → new_primQuotInt78(vvv870, new_primMinusNatS2(Succ(vvv88900), Zero), Zero, vvv875, new_primMinusNatS2(Succ(vvv88900), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt78(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Zero, vvv1011, vvv1034) → new_primQuotInt94(vvv1006, new_primMinusNatS2(Succ(vvv103500), Zero), Zero, vvv1011, new_primMinusNatS2(Succ(vvv103500), Zero))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Zero, vvv1011, vvv1034) → new_primQuotInt94(vvv1006, new_primMinusNatS2(Succ(vvv103500), Zero), Zero, vvv1011, new_primMinusNatS2(Succ(vvv103500), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_fromInt
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Zero, vvv1011, vvv1034) → new_primQuotInt94(vvv1006, new_primMinusNatS2(Succ(vvv103500), Zero), Zero, vvv1011, new_primMinusNatS2(Succ(vvv103500), Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Zero, vvv1011, vvv1034) → new_primQuotInt94(vvv1006, new_primMinusNatS2(Succ(vvv103500), Zero), Zero, vvv1011, new_primMinusNatS2(Succ(vvv103500), Zero))

Used ordering: POLO with Polynomial interpretation [25]:

POL(Succ(x₁)) = 1 + 2·x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = x₁ + 2·x₂
POL(new_primQuotInt94(x₁, x₂, x₃, x₄, x₅)) = x₁ + x₂ + x₃ + x₄ + x₅

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ RuleRemovalProof

                                            ↳ QDP

                                              ↳ PisEmptyProof

                                ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

Q DP problem:
P is empty.
The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The TRS P is empty. Hence, there is no (P,Q,R) chain.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt)
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_fromInt

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt108(vvv1272, vvv1275, vvv1276, vvv1298) → new_primQuotInt115(vvv1272, vvv1275, vvv1276, vvv1298) we obtained the following new rules:

new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt115(vvv415, vvv4200, vvv416, vvv481) → new_primQuotInt94(vvv415, Succ(vvv4200), vvv416, vvv481, Succ(vvv4200)) we obtained the following new rules:

new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt94(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt94(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306)
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt100(vvv1279, vvv1282, vvv1283, vvv1306) → new_primQuotInt105(vvv1279, vvv1282, vvv1283, vvv1306) we obtained the following new rules:

new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt105(vvv706, vvv707, vvv710, vvv711) → new_primQuotInt106(vvv706, Succ(vvv707), vvv710, vvv711, Succ(vvv707)) we obtained the following new rules:

new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt106(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt106(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Neg(vvv10110), vvv1034) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Neg(vvv12100)) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The remaining pairs can at least be oriented weakly.

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = 1
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt100(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt102(x₁, x₂, x₃)) = 0
POL(new_primQuotInt103(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt104(x₁, x₂, x₃)) = 0
POL(new_primQuotInt105(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt106(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt107(x₁, x₂, x₃, x₄, x₅, x₆)) = x₃
POL(new_primQuotInt108(x₁, x₂, x₃, x₄)) = x₃
POL(new_primQuotInt109(x₁, x₂, x₃, x₄, x₅)) = x₅
POL(new_primQuotInt110(x₁, x₂)) = 0
POL(new_primQuotInt113(x₁, x₂, x₃)) = 0
POL(new_primQuotInt114(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt115(x₁, x₂, x₃, x₄)) = x₃
POL(new_primQuotInt116(x₁, x₂, x₃)) = x₃
POL(new_primQuotInt94(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt97(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt98(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt99(x₁, x₂)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt110(vvv1041, vvv10430) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Succ(vvv119900))) → new_primQuotInt109(vvv1194, Succ(vvv1195), vvv119900, vvv1196, Succ(vvv1195))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Succ(vvv104600)), vvv1052) → new_primQuotInt109(vvv1041, Zero, vvv104600, Succ(vvv10430), Zero)
new_primQuotInt113(vvv1194, vvv1196, vvv1195) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))

The remaining pairs can at least be oriented weakly.

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = 1
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 1
POL(new_primQuotInt100(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt102(x₁, x₂, x₃)) = 0
POL(new_primQuotInt103(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt104(x₁, x₂, x₃)) = 0
POL(new_primQuotInt105(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt106(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt107(x₁, x₂, x₃, x₄, x₅, x₆)) = x₃ + x₆
POL(new_primQuotInt108(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt109(x₁, x₂, x₃, x₄, x₅)) = x₄ + x₅
POL(new_primQuotInt110(x₁, x₂)) = 1
POL(new_primQuotInt113(x₁, x₂, x₃)) = 1
POL(new_primQuotInt114(x₁, x₂, x₃, x₄)) = x₃ + x₄
POL(new_primQuotInt115(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt116(x₁, x₂, x₃)) = x₃
POL(new_primQuotInt94(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt97(x₁, x₂, x₃, x₄, x₅, x₆)) = 0
POL(new_primQuotInt98(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt99(x₁, x₂)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Neg(Zero), vvv1052) → new_primQuotInt110(vvv1041, vvv10430)
new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Neg(Zero)) → new_primQuotInt113(vvv1194, vvv1196, vvv1195)
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt109(vvv1272, Succ(vvv12730), Zero, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt116(vvv1272, vvv1275, vvv1276) → new_primQuotInt108(vvv1272, vvv1275, vvv1276, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt109(vvv1272, Zero, Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt116(vvv1272, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs with 5 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt108(z0, z2, z3, Pos(Zero)) → new_primQuotInt115(z0, z2, z3, Pos(Zero)) we obtained the following new rules:

new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt115(z0, z1, z2, Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt94(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt108(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt106(vvv1041, Succ(Zero), Succ(vvv10430), Pos(vvv10460), vvv1052) → new_primQuotInt108(vvv1041, Succ(vvv10430), Zero, Pos(Zero))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt115(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt94(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 3 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Succ(vvv121000))) → new_primQuotInt98(vvv1205, Succ(vvv1206), vvv121000, vvv1207, Succ(vvv1206))
new_primQuotInt98(vvv1279, Zero, Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt104(vvv1279, vvv1282, vvv1283)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Succ(vvv101100)), vvv1034) → new_primQuotInt98(vvv1006, Zero, vvv101100, Succ(vvv10080), Zero)
new_primQuotInt98(vvv1279, Succ(vvv12800), Succ(vvv12810), vvv1282, vvv1283) → new_primQuotInt98(vvv1279, vvv12800, vvv12810, vvv1282, vvv1283)

The remaining pairs can at least be oriented weakly.

new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))

Used ordering: Polynomial interpretation [25]:

POL(Pos(x₁)) = 1 + x₁
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt100(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt102(x₁, x₂, x₃)) = 1
POL(new_primQuotInt103(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt104(x₁, x₂, x₃)) = 1
POL(new_primQuotInt105(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt106(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt107(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt108(x₁, x₂, x₃, x₄)) = 1
POL(new_primQuotInt114(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt115(x₁, x₂, x₃, x₄)) = 1
POL(new_primQuotInt94(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt97(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt98(x₁, x₂, x₃, x₄, x₅)) = 1 + x₃
POL(new_primQuotInt99(x₁, x₂)) = 1

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt104(vvv1279, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt98(vvv1279, Succ(vvv12800), Zero, vvv1282, vvv1283) → new_primQuotInt100(vvv1279, vvv1282, vvv1283, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt100(z0, z1, z2, Pos(Zero)) → new_primQuotInt105(z0, z1, z2, Pos(Zero)) we obtained the following new rules:

new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt105(z0, z1, z2, Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt106(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt100(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt106(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt94(vvv1006, Succ(Zero), Succ(vvv10080), Pos(Zero), vvv1034) → new_primQuotInt99(vvv1006, vvv10080)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt99(vvv1006, vvv10080) → new_primQuotInt100(vvv1006, Succ(vvv10080), Zero, Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 4 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Zero, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Zero, vvv1199) → new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199)

The remaining pairs can at least be oriented weakly.

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	1	\
\	0	/

/	0	0	\
\	1	1	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	1	\
\	0	/

/	0	0	\
\	0	1	/

x₁

/	0	0	\
\	0	0	/

x₂

M( Zero ) =

/	0	\
\	0	/

M( Pos(x₁) ) =

/	1	\
\	1	/

/	0	0	\
\	0	0	/

x₁

Tuple symbols:

M( new_primQuotInt107(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt106(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt94(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt115(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt114(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt102(x₁, ..., x₃) ) =

[

]

x₁

[

]

x₂

[

]

x₃

M( new_primQuotInt105(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt108(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt103(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt97(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt100(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt114(vvv1194, vvv1195, vvv1196, vvv1199) → new_primQuotInt106(vvv1194, new_primMinusNatS2(Succ(vvv1195), vvv1196), vvv1196, vvv1199, new_primMinusNatS2(Succ(vvv1195), vvv1196))
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt106(vvv1041, Succ(Succ(vvv105300)), Succ(vvv10430), vvv1046, vvv1052) → new_primQuotInt107(vvv1041, vvv105300, Succ(vvv10430), vvv105300, vvv10430, vvv1046) we obtained the following new rules:

new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Zero, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Zero, vvv1210) → new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210)

The remaining pairs can at least be oriented weakly.

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	1	\
\	0	/

/	0	0	\
\	1	1	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	1	\
\	0	/

/	0	0	\
\	0	1	/

x₁

/	0	0	\
\	0	0	/

x₂

M( Zero ) =

/	0	\
\	0	/

M( Pos(x₁) ) =

/	0	\
\	1	/

/	0	0	\
\	0	0	/

x₁

Tuple symbols:

M( new_primQuotInt107(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt106(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt94(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt115(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt102(x₁, ..., x₃) ) =

[

]

x₁

[

]

x₂

[

]

x₃

M( new_primQuotInt105(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt108(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt103(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt97(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt100(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt103(vvv1205, vvv1206, vvv1207, vvv1210) → new_primQuotInt94(vvv1205, new_primMinusNatS2(Succ(vvv1206), vvv1207), vvv1207, vvv1210, new_primMinusNatS2(Succ(vvv1206), vvv1207))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                            ↳ UsableRulesProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                            ↳ UsableRulesProof

                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                ↳ QReductionProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                            ↳ UsableRulesProof

                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                ↳ QReductionProof

                                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                                    ↳ Instantiation

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt94(vvv1006, Succ(Succ(vvv103500)), Succ(vvv10080), vvv1011, vvv1034) → new_primQuotInt97(vvv1006, vvv103500, Succ(vvv10080), vvv103500, vvv10080, vvv1011) we obtained the following new rules:

new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                            ↳ UsableRulesProof

                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                ↳ QReductionProof

                                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                                    ↳ Instantiation

                                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                                        ↳ NonInfProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The DP Problem is simplified using the Induction Calculus [18] with the following steps:
Note that final constraints are written in bold face.

For Pair new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199), new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero)) which results in the following constraint:
(1) (new_primQuotInt107(x11, x12, x13, x14, x15, x16)=new_primQuotInt107(x17, x18, x19, Zero, Succ(x20), Pos(x21)) ⇒ new_primQuotInt107(x17, x18, x19, Zero, Succ(x20), Pos(x21))≥new_primQuotInt108(x17, x19, Succ(x18), Pos(Zero)))

We simplified constraint (1) using rules (I), (II), (III) which results in the following new constraint:
(2) (new_primQuotInt107(x11, x12, x13, Zero, Succ(x20), Pos(x21))≥new_primQuotInt108(x11, x13, Succ(x12), Pos(Zero)))
We consider the chain new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero)) which results in the following constraint:
(3) (new_primQuotInt107(x22, x23, Succ(x24), x23, x24, Pos(Zero))=new_primQuotInt107(x25, x26, x27, Zero, Succ(x28), Pos(x29)) ⇒ new_primQuotInt107(x25, x26, x27, Zero, Succ(x28), Pos(x29))≥new_primQuotInt108(x25, x27, Succ(x26), Pos(Zero)))

We simplified constraint (3) using rules (I), (II), (III) which results in the following new constraint:
(4) (new_primQuotInt107(x22, Zero, Succ(Succ(x28)), Zero, Succ(x28), Pos(Zero))≥new_primQuotInt108(x22, Succ(Succ(x28)), Succ(Zero), Pos(Zero)))

For Pair new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)), new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(5) (new_primQuotInt105(x88, x89, Succ(x90), Pos(Zero))=new_primQuotInt105(x91, x92, Succ(x93), Pos(Zero)) ⇒ new_primQuotInt105(x91, x92, Succ(x93), Pos(Zero))≥new_primQuotInt106(x91, Succ(x92), Succ(x93), Pos(Zero), Succ(x92)))

We simplified constraint (5) using rules (I), (II), (III) which results in the following new constraint:
(6) (new_primQuotInt105(x88, x89, Succ(x90), Pos(Zero))≥new_primQuotInt106(x88, Succ(x89), Succ(x90), Pos(Zero), Succ(x89)))

For Pair new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero)), new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(7) (new_primQuotInt115(x127, x128, Succ(x129), Pos(Zero))=new_primQuotInt115(x130, x131, Succ(x132), Pos(Zero)) ⇒ new_primQuotInt115(x130, x131, Succ(x132), Pos(Zero))≥new_primQuotInt94(x130, Succ(x131), Succ(x132), Pos(Zero), Succ(x131)))

We simplified constraint (7) using rules (I), (II), (III) which results in the following new constraint:
(8) (new_primQuotInt115(x127, x128, Succ(x129), Pos(Zero))≥new_primQuotInt94(x127, Succ(x128), Succ(x129), Pos(Zero), Succ(x128)))

For Pair new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199) the following chains were created:

We consider the chain new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199), new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199) which results in the following constraint:
(9) (new_primQuotInt107(x153, x154, x155, x156, x157, x158)=new_primQuotInt107(x159, x160, x161, Succ(x162), Succ(x163), x164) ⇒ new_primQuotInt107(x159, x160, x161, Succ(x162), Succ(x163), x164)≥new_primQuotInt107(x159, x160, x161, x162, x163, x164))

We simplified constraint (9) using rules (I), (II), (III) which results in the following new constraint:
(10) (new_primQuotInt107(x153, x154, x155, Succ(x162), Succ(x163), x158)≥new_primQuotInt107(x153, x154, x155, x162, x163, x158))
We consider the chain new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199) which results in the following constraint:
(11) (new_primQuotInt107(x165, x166, Succ(x167), x166, x167, Pos(Zero))=new_primQuotInt107(x168, x169, x170, Succ(x171), Succ(x172), x173) ⇒ new_primQuotInt107(x168, x169, x170, Succ(x171), Succ(x172), x173)≥new_primQuotInt107(x168, x169, x170, x171, x172, x173))

We simplified constraint (11) using rules (I), (II), (III) which results in the following new constraint:
(12) (new_primQuotInt107(x165, Succ(x171), Succ(Succ(x172)), Succ(x171), Succ(x172), Pos(Zero))≥new_primQuotInt107(x165, Succ(x171), Succ(Succ(x172)), x171, x172, Pos(Zero)))

For Pair new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(13) (new_primQuotInt106(x201, Succ(x202), Succ(x203), Pos(Zero), Succ(x202))=new_primQuotInt106(x204, Succ(Succ(x205)), Succ(x206), Pos(Zero), Succ(Succ(x205))) ⇒ new_primQuotInt106(x204, Succ(Succ(x205)), Succ(x206), Pos(Zero), Succ(Succ(x205)))≥new_primQuotInt107(x204, x205, Succ(x206), x205, x206, Pos(Zero)))

We simplified constraint (13) using rules (I), (II), (III) which results in the following new constraint:
(14) (new_primQuotInt106(x201, Succ(Succ(x205)), Succ(x203), Pos(Zero), Succ(Succ(x205)))≥new_primQuotInt107(x201, x205, Succ(x203), x205, x203, Pos(Zero)))

For Pair new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206) the following chains were created:

We consider the chain new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210), new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206) which results in the following constraint:
(15) (new_primQuotInt97(x265, x266, x267, x268, x269, x270)=new_primQuotInt97(x271, x272, x273, Zero, Succ(x274), Pos(Zero)) ⇒ new_primQuotInt97(x271, x272, x273, Zero, Succ(x274), Pos(Zero))≥new_primQuotInt102(x271, x273, x272))

We simplified constraint (15) using rules (I), (II), (III) which results in the following new constraint:
(16) (new_primQuotInt97(x265, x266, x267, Zero, Succ(x274), Pos(Zero))≥new_primQuotInt102(x265, x267, x266))
We consider the chain new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206) which results in the following constraint:
(17) (new_primQuotInt97(x284, x285, Succ(x286), x285, x286, Pos(Zero))=new_primQuotInt97(x287, x288, x289, Zero, Succ(x290), Pos(Zero)) ⇒ new_primQuotInt97(x287, x288, x289, Zero, Succ(x290), Pos(Zero))≥new_primQuotInt102(x287, x289, x288))

We simplified constraint (17) using rules (I), (II), (III) which results in the following new constraint:
(18) (new_primQuotInt97(x284, Zero, Succ(Succ(x290)), Zero, Succ(x290), Pos(Zero))≥new_primQuotInt102(x284, Succ(Succ(x290)), Zero))

For Pair new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210) the following chains were created:

We consider the chain new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210), new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210) which results in the following constraint:
(19) (new_primQuotInt97(x315, x316, x317, x318, x319, x320)=new_primQuotInt97(x321, x322, x323, Succ(x324), Succ(x325), x326) ⇒ new_primQuotInt97(x321, x322, x323, Succ(x324), Succ(x325), x326)≥new_primQuotInt97(x321, x322, x323, x324, x325, x326))

We simplified constraint (19) using rules (I), (II), (III) which results in the following new constraint:
(20) (new_primQuotInt97(x315, x316, x317, Succ(x324), Succ(x325), x320)≥new_primQuotInt97(x315, x316, x317, x324, x325, x320))
We consider the chain new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210) which results in the following constraint:
(21) (new_primQuotInt97(x336, x337, Succ(x338), x337, x338, Pos(Zero))=new_primQuotInt97(x339, x340, x341, Succ(x342), Succ(x343), x344) ⇒ new_primQuotInt97(x339, x340, x341, Succ(x342), Succ(x343), x344)≥new_primQuotInt97(x339, x340, x341, x342, x343, x344))

We simplified constraint (21) using rules (I), (II), (III) which results in the following new constraint:
(22) (new_primQuotInt97(x336, Succ(x342), Succ(Succ(x343)), Succ(x342), Succ(x343), Pos(Zero))≥new_primQuotInt97(x336, Succ(x342), Succ(Succ(x343)), x342, x343, Pos(Zero)))

For Pair new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero)), new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero)) which results in the following constraint:
(23) (new_primQuotInt108(x345, x347, Succ(x346), Pos(Zero))=new_primQuotInt108(x350, x351, Succ(x352), Pos(Zero)) ⇒ new_primQuotInt108(x350, x351, Succ(x352), Pos(Zero))≥new_primQuotInt115(x350, x351, Succ(x352), Pos(Zero)))

We simplified constraint (23) using rules (I), (II), (III) which results in the following new constraint:
(24) (new_primQuotInt108(x345, x347, Succ(x346), Pos(Zero))≥new_primQuotInt115(x345, x347, Succ(x346), Pos(Zero)))

For Pair new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206), new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero)) which results in the following constraint:
(25) (new_primQuotInt102(x410, x412, x411)=new_primQuotInt102(x414, x415, x416) ⇒ new_primQuotInt102(x414, x415, x416)≥new_primQuotInt100(x414, x415, Succ(x416), Pos(Zero)))

We simplified constraint (25) using rules (I), (II), (III) which results in the following new constraint:
(26) (new_primQuotInt102(x410, x412, x411)≥new_primQuotInt100(x410, x412, Succ(x411), Pos(Zero)))

For Pair new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero)), new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) which results in the following constraint:
(27) (new_primQuotInt100(x468, x469, Succ(x470), Pos(Zero))=new_primQuotInt100(x471, x472, Succ(x473), Pos(Zero)) ⇒ new_primQuotInt100(x471, x472, Succ(x473), Pos(Zero))≥new_primQuotInt105(x471, x472, Succ(x473), Pos(Zero)))

We simplified constraint (27) using rules (I), (II), (III) which results in the following new constraint:
(28) (new_primQuotInt100(x468, x469, Succ(x470), Pos(Zero))≥new_primQuotInt105(x468, x469, Succ(x470), Pos(Zero)))

For Pair new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(29) (new_primQuotInt94(x488, Succ(x489), Succ(x490), Pos(Zero), Succ(x489))=new_primQuotInt94(x491, Succ(Succ(x492)), Succ(x493), Pos(Zero), Succ(Succ(x492))) ⇒ new_primQuotInt94(x491, Succ(Succ(x492)), Succ(x493), Pos(Zero), Succ(Succ(x492)))≥new_primQuotInt97(x491, x492, Succ(x493), x492, x493, Pos(Zero)))

We simplified constraint (29) using rules (I), (II), (III) which results in the following new constraint:
(30) (new_primQuotInt94(x488, Succ(Succ(x492)), Succ(x490), Pos(Zero), Succ(Succ(x492)))≥new_primQuotInt97(x488, x492, Succ(x490), x492, x490, Pos(Zero)))

To summarize, we get the following constraints P_≥ for the following pairs.

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
- (new_primQuotInt107(x11, x12, x13, Zero, Succ(x20), Pos(x21))≥new_primQuotInt108(x11, x13, Succ(x12), Pos(Zero)))
- (new_primQuotInt107(x22, Zero, Succ(Succ(x28)), Zero, Succ(x28), Pos(Zero))≥new_primQuotInt108(x22, Succ(Succ(x28)), Succ(Zero), Pos(Zero)))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt105(x88, x89, Succ(x90), Pos(Zero))≥new_primQuotInt106(x88, Succ(x89), Succ(x90), Pos(Zero), Succ(x89)))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt115(x127, x128, Succ(x129), Pos(Zero))≥new_primQuotInt94(x127, Succ(x128), Succ(x129), Pos(Zero), Succ(x128)))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
- (new_primQuotInt107(x153, x154, x155, Succ(x162), Succ(x163), x158)≥new_primQuotInt107(x153, x154, x155, x162, x163, x158))
- (new_primQuotInt107(x165, Succ(x171), Succ(Succ(x172)), Succ(x171), Succ(x172), Pos(Zero))≥new_primQuotInt107(x165, Succ(x171), Succ(Succ(x172)), x171, x172, Pos(Zero)))
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt106(x201, Succ(Succ(x205)), Succ(x203), Pos(Zero), Succ(Succ(x205)))≥new_primQuotInt107(x201, x205, Succ(x203), x205, x203, Pos(Zero)))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
- (new_primQuotInt97(x265, x266, x267, Zero, Succ(x274), Pos(Zero))≥new_primQuotInt102(x265, x267, x266))
- (new_primQuotInt97(x284, Zero, Succ(Succ(x290)), Zero, Succ(x290), Pos(Zero))≥new_primQuotInt102(x284, Succ(Succ(x290)), Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
- (new_primQuotInt97(x315, x316, x317, Succ(x324), Succ(x325), x320)≥new_primQuotInt97(x315, x316, x317, x324, x325, x320))
- (new_primQuotInt97(x336, Succ(x342), Succ(Succ(x343)), Succ(x342), Succ(x343), Pos(Zero))≥new_primQuotInt97(x336, Succ(x342), Succ(Succ(x343)), x342, x343, Pos(Zero)))
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
- (new_primQuotInt108(x345, x347, Succ(x346), Pos(Zero))≥new_primQuotInt115(x345, x347, Succ(x346), Pos(Zero)))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
- (new_primQuotInt102(x410, x412, x411)≥new_primQuotInt100(x410, x412, Succ(x411), Pos(Zero)))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
- (new_primQuotInt100(x468, x469, Succ(x470), Pos(Zero))≥new_primQuotInt105(x468, x469, Succ(x470), Pos(Zero)))
new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt94(x488, Succ(Succ(x492)), Succ(x490), Pos(Zero), Succ(Succ(x492)))≥new_primQuotInt97(x488, x492, Succ(x490), x492, x490, Pos(Zero)))

POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(c) = -1
POL(new_primQuotInt100(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ + x₄
POL(new_primQuotInt102(x₁, x₂, x₃)) = x₁ + x₃
POL(new_primQuotInt105(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ - x₄
POL(new_primQuotInt106(x₁, x₂, x₃, x₄, x₅)) = -1 + x₁ + x₂ + x₃ + x₄ - x₅
POL(new_primQuotInt107(x₁, x₂, x₃, x₄, x₅, x₆)) = -1 + x₁ + x₂ - x₄ + x₅ - x₆
POL(new_primQuotInt108(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ - x₄
POL(new_primQuotInt115(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ - x₄
POL(new_primQuotInt94(x₁, x₂, x₃, x₄, x₅)) = -1 + x₁ - x₂ + x₃ + x₄ + x₅
POL(new_primQuotInt97(x₁, x₂, x₃, x₄, x₅, x₆)) = -1 + x₁ + x₂ - x₄ + x₅ - x₆

The following pairs are in P_>:

new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero))

The following pairs are in P_bound:

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt106(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt107(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt94(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt97(z0, x1, Succ(z2), x1, z2, Pos(Zero))

There are no usable rules

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                            ↳ UsableRulesProof

                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                ↳ QReductionProof

                                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                                    ↳ Instantiation

                                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                                        ↳ NonInfProof

                                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Zero, Succ(vvv11980), Pos(vvv11990)) → new_primQuotInt108(vvv1194, vvv1196, Succ(vvv1195), Pos(Zero))
new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt106(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt115(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt94(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Zero, Succ(vvv12090), Pos(Zero)) → new_primQuotInt102(vvv1205, vvv1207, vvv1206)
new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
new_primQuotInt108(z0, z2, Succ(z1), Pos(Zero)) → new_primQuotInt115(z0, z2, Succ(z1), Pos(Zero))
new_primQuotInt102(vvv1205, vvv1207, vvv1206) → new_primQuotInt100(vvv1205, vvv1207, Succ(vvv1206), Pos(Zero))
new_primQuotInt100(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt105(z0, z1, Succ(z2), Pos(Zero))

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 2 SCCs with 7 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                            ↳ UsableRulesProof

                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                ↳ QReductionProof

                                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                                    ↳ Instantiation

                                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                                        ↳ NonInfProof

                                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                                                              ↳ AND

                                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                                  ↳ QDPSizeChangeProof

                                                                                                                                                                                                                ↳ QDP

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)

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

new_primQuotInt97(vvv1205, vvv1206, vvv1207, Succ(vvv12080), Succ(vvv12090), vvv1210) → new_primQuotInt97(vvv1205, vvv1206, vvv1207, vvv12080, vvv12090, vvv1210)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ Instantiation

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ Instantiation

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ DependencyGraphProof

                                                                                                                                                  ↳ QDP

                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                      ↳ QDP

                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                          ↳ QDP

                                                                                                                                                            ↳ Instantiation

                                                                                                                                                              ↳ QDP

                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                  ↳ QDP

                                                                                                                                                                    ↳ DependencyGraphProof

                                                                                                                                                                      ↳ QDP

                                                                                                                                                                        ↳ QDPOrderProof

                                                                                                                                                                          ↳ QDP

                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                ↳ Instantiation

                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                    ↳ QDPOrderProof

                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                        ↳ DependencyGraphProof

                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                            ↳ UsableRulesProof

                                                                                                                                                                                              ↳ QDP

                                                                                                                                                                                                ↳ QReductionProof

                                                                                                                                                                                                  ↳ QDP

                                                                                                                                                                                                    ↳ Instantiation

                                                                                                                                                                                                      ↳ QDP

                                                                                                                                                                                                        ↳ NonInfProof

                                                                                                                                                                                                          ↳ QDP

                                                                                                                                                                                                            ↳ DependencyGraphProof

                                                                                                                                                                                                              ↳ AND

                                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                                ↳ QDP

                                                                                                                                                                                                                  ↳ QDPSizeChangeProof

                                                                                                                                      ↳ QDP

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)

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

new_primQuotInt107(vvv1194, vvv1195, vvv1196, Succ(vvv11970), Succ(vvv11980), vvv1199) → new_primQuotInt107(vvv1194, vvv1195, vvv1196, vvv11970, vvv11980, vvv1199)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ UsableRulesProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ UsableRulesProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QReductionProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ Rewriting

                                                                    ↳ QDP

                                                                      ↳ Rewriting

                                                                        ↳ QDP

                                                                          ↳ Rewriting

                                                                            ↳ QDP

                                                                              ↳ Rewriting

                                                                                ↳ QDP

                                                                                  ↳ Rewriting

                                                                                    ↳ QDP

                                                                                      ↳ Rewriting

                                                                                        ↳ QDP

                                                                                          ↳ UsableRulesProof

                                                                                            ↳ QDP

                                                                                              ↳ QReductionProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ Instantiation

                                                                                                                ↳ QDP

                                                                                                                  ↳ Instantiation

                                                                                                                    ↳ QDP

                                                                                                                      ↳ DependencyGraphProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QDPOrderProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ QDPOrderProof

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ DependencyGraphProof

                                                                                                                                    ↳ AND

                                                                                                                                      ↳ QDP

                                                                                                                                      ↳ QDP

                                                                                                                                        ↳ UsableRulesProof

                                                                                                                                          ↳ QDP

                                                                                                                                            ↳ QReductionProof

                                                                                                                                              ↳ QDP

                                                                                                                                                ↳ QDPSizeChangeProof

                                ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)

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

new_primQuotInt109(vvv1272, Succ(vvv12730), Succ(vvv12740), vvv1275, vvv1276) → new_primQuotInt109(vvv1272, vvv12730, vvv12740, vvv1275, vvv1276)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))

The TRS R consists of the following rules:

new_primRemInt3(vvv46800) → new_error
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_rem1(vvv1030) → new_primRemInt4(vvv1030)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_error → error([])
new_rem(vvv1160) → new_primRemInt5(vvv1160)
new_rem0(vvv1008) → new_primRemInt3(vvv1008)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Zero) → Zero
new_rem2(vvv47200) → new_primRemInt6(vvv47200)
new_primRemInt6(vvv47200) → new_error
new_fromInt → Pos(Zero)
new_primRemInt5(vvv2200) → new_error
new_primRemInt4(vvv2200) → new_error

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_primMinusNatS2(Zero, Succ(x0))
new_error
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

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

new_rem0(x0)
new_rem2(x0)
new_rem1(x0)
new_rem(x0)
new_primRemInt6(x0)
new_error
new_primRemInt3(x0)
new_primRemInt4(x0)
new_primRemInt5(x0)

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt)
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, new_fromInt) at position [3] we obtained the following new rules:

new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_fromInt → Pos(Zero)
new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_fromInt
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_fromInt

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt82(vvv1236, vvv1239, vvv1240, vvv1246) → new_primQuotInt88(vvv1236, vvv1239, vvv1240, vvv1246) we obtained the following new rules:

new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt88(vvv115, vvv2200, vvv1160, vvv272) → new_primQuotInt78(vvv115, Succ(vvv2200), vvv1160, vvv272, Succ(vvv2200)) we obtained the following new rules:

new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt78(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt78(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Neg(vvv9870)) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Neg(vvv8750), vvv888) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))

The remaining pairs can at least be oriented weakly.

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

Used ordering: Polynomial interpretation [25]:

POL(Neg(x₁)) = 1
POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 0
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt78(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt79(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt80(x₁, x₂, x₃, x₄, x₅)) = 0
POL(new_primQuotInt81(x₁, x₂)) = 0
POL(new_primQuotInt82(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt85(x₁, x₂, x₃)) = 0
POL(new_primQuotInt86(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt87(x₁, x₂, x₃)) = 0
POL(new_primQuotInt88(x₁, x₂, x₃, x₄)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Succ(vvv87500)), vvv888) → new_primQuotInt80(vvv870, Zero, vvv87500, Succ(vvv8720), Zero)
new_primQuotInt80(vvv1236, Zero, Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt87(vvv1236, vvv1239, vvv1240)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Succ(vvv98700))) → new_primQuotInt80(vvv982, Succ(vvv983), vvv98700, vvv984, Succ(vvv983))
new_primQuotInt80(vvv1236, Succ(vvv12370), Succ(vvv12380), vvv1239, vvv1240) → new_primQuotInt80(vvv1236, vvv12370, vvv12380, vvv1239, vvv1240)

The remaining pairs can at least be oriented weakly.

new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

Used ordering: Polynomial interpretation [25]:

POL(Pos(x₁)) = x₁
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(new_primMinusNatS2(x₁, x₂)) = 0
POL(new_primQuotInt78(x₁, x₂, x₃, x₄, x₅)) = x₄
POL(new_primQuotInt79(x₁, x₂, x₃, x₄, x₅, x₆)) = x₆
POL(new_primQuotInt80(x₁, x₂, x₃, x₄, x₅)) = x₃
POL(new_primQuotInt81(x₁, x₂)) = 0
POL(new_primQuotInt82(x₁, x₂, x₃, x₄)) = 0
POL(new_primQuotInt85(x₁, x₂, x₃)) = 0
POL(new_primQuotInt86(x₁, x₂, x₃, x₄)) = x₄
POL(new_primQuotInt87(x₁, x₂, x₃)) = 0
POL(new_primQuotInt88(x₁, x₂, x₃, x₄)) = 0

The following usable rules [17] were oriented: none

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt80(vvv1236, Succ(vvv12370), Zero, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt87(vvv1236, vvv1239, vvv1240) → new_primQuotInt82(vvv1236, vvv1239, vvv1240, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 2 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt82(z0, z2, z3, Pos(Zero)) → new_primQuotInt88(z0, z2, z3, Pos(Zero)) we obtained the following new rules:

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1))
new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt88(z0, z1, z2, Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), z2, Pos(Zero), Succ(z1)) we obtained the following new rules:

new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt78(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt82(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Zero), Succ(vvv8720), Pos(Zero), vvv888) → new_primQuotInt81(vvv870, vvv8720)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt88(z0, Succ(z1), Zero, Pos(Zero)) → new_primQuotInt78(z0, Succ(Succ(z1)), Zero, Pos(Zero), Succ(Succ(z1)))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt81(vvv870, vvv8720) → new_primQuotInt82(vvv870, Succ(vvv8720), Zero, Pos(Zero))
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 4 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].

The following pairs can be oriented strictly and are deleted.

new_primQuotInt86(vvv982, vvv983, vvv984, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Zero, vvv987) → new_primQuotInt78(vvv982, new_primMinusNatS2(Succ(vvv983), vvv984), vvv984, vvv987, new_primMinusNatS2(Succ(vvv983), vvv984))

The remaining pairs can at least be oriented weakly.

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

Used ordering: Matrix interpretation [3]:
Non-tuple symbols:

M( Succ(x₁) ) =

/	1	\
\	0	/

/	0	0	\
\	1	1	/

x₁

M( new_primMinusNatS2(x₁, x₂) ) =

/	0	\
\	0	/

/	0	0	\
\	0	1	/

x₁

/	0	1	\
\	0	0	/

x₂

M( Zero ) =

/	0	\
\	1	/

M( Pos(x₁) ) =

/	0	\
\	1	/

/	0	0	\
\	0	0	/

x₁

Tuple symbols:

M( new_primQuotInt88(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt85(x₁, ..., x₃) ) =

[

]

x₁

[

]

x₂

[

]

x₃

M( new_primQuotInt78(x₁, ..., x₅) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

M( new_primQuotInt86(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

M( new_primQuotInt79(x₁, ..., x₆) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

[

]

x₅

[

]

x₆

M( new_primQuotInt82(x₁, ..., x₄) ) =

[

]

x₁

[

]

x₂

[

]

x₃

[

]

x₄

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Zero, Zero) → Zero
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Zero, vvv987) → new_primQuotInt86(vvv982, vvv983, vvv984, vvv987)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 1 SCC with 1 less node.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ UsableRulesProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

The TRS R consists of the following rules:

new_primMinusNatS2(Succ(vvv75100), Zero) → Succ(vvv75100)
new_primMinusNatS2(Succ(vvv75100), Succ(vvv7520)) → new_primMinusNatS2(vvv75100, vvv7520)
new_primMinusNatS2(Zero, Succ(vvv7520)) → Zero
new_primMinusNatS2(Zero, Zero) → Zero

The set Q consists of the following terms:

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ UsableRulesProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QReductionProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

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

new_primMinusNatS2(Succ(x0), Zero)
new_primMinusNatS2(Zero, Succ(x0))
new_primMinusNatS2(Zero, Zero)
new_primMinusNatS2(Succ(x0), Succ(x1))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ UsableRulesProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QReductionProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ Instantiation

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By instantiating [15] the rule new_primQuotInt78(vvv870, Succ(Succ(vvv88900)), Succ(vvv8720), vvv875, vvv888) → new_primQuotInt79(vvv870, vvv88900, Succ(vvv8720), vvv88900, vvv8720, vvv875) we obtained the following new rules:

new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero))

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ UsableRulesProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QReductionProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ Instantiation

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ NonInfProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
The DP Problem is simplified using the Induction Calculus [18] with the following steps:
Note that final constraints are written in bold face.

For Pair new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero)), new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) which results in the following constraint:
(1) (new_primQuotInt82(x3, x4, Succ(x5), Pos(Zero))=new_primQuotInt82(x6, x7, Succ(x8), Pos(Zero)) ⇒ new_primQuotInt82(x6, x7, Succ(x8), Pos(Zero))≥new_primQuotInt88(x6, x7, Succ(x8), Pos(Zero)))

We simplified constraint (1) using rules (I), (II), (III) which results in the following new constraint:
(2) (new_primQuotInt82(x3, x4, Succ(x5), Pos(Zero))≥new_primQuotInt88(x3, x4, Succ(x5), Pos(Zero)))

For Pair new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983), new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero)) which results in the following constraint:
(3) (new_primQuotInt85(x37, x39, x38)=new_primQuotInt85(x41, x42, x43) ⇒ new_primQuotInt85(x41, x42, x43)≥new_primQuotInt82(x41, x42, Succ(x43), Pos(Zero)))

We simplified constraint (3) using rules (I), (II), (III) which results in the following new constraint:
(4) (new_primQuotInt85(x37, x39, x38)≥new_primQuotInt82(x37, x39, Succ(x38), Pos(Zero)))

For Pair new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987) the following chains were created:

We consider the chain new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987), new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987) which results in the following constraint:
(5) (new_primQuotInt79(x56, x57, x58, x59, x60, x61)=new_primQuotInt79(x62, x63, x64, Succ(x65), Succ(x66), x67) ⇒ new_primQuotInt79(x62, x63, x64, Succ(x65), Succ(x66), x67)≥new_primQuotInt79(x62, x63, x64, x65, x66, x67))

We simplified constraint (5) using rules (I), (II), (III) which results in the following new constraint:
(6) (new_primQuotInt79(x56, x57, x58, Succ(x65), Succ(x66), x61)≥new_primQuotInt79(x56, x57, x58, x65, x66, x61))
We consider the chain new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987) which results in the following constraint:
(7) (new_primQuotInt79(x75, x76, Succ(x77), x76, x77, Pos(Zero))=new_primQuotInt79(x78, x79, x80, Succ(x81), Succ(x82), x83) ⇒ new_primQuotInt79(x78, x79, x80, Succ(x81), Succ(x82), x83)≥new_primQuotInt79(x78, x79, x80, x81, x82, x83))

We simplified constraint (7) using rules (I), (II), (III) which results in the following new constraint:
(8) (new_primQuotInt79(x75, Succ(x81), Succ(Succ(x82)), Succ(x81), Succ(x82), Pos(Zero))≥new_primQuotInt79(x75, Succ(x81), Succ(Succ(x82)), x81, x82, Pos(Zero)))

For Pair new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983) the following chains were created:

We consider the chain new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987), new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983) which results in the following constraint:
(9) (new_primQuotInt79(x90, x91, x92, x93, x94, x95)=new_primQuotInt79(x96, x97, x98, Zero, Succ(x99), Pos(Zero)) ⇒ new_primQuotInt79(x96, x97, x98, Zero, Succ(x99), Pos(Zero))≥new_primQuotInt85(x96, x98, x97))

We simplified constraint (9) using rules (I), (II), (III) which results in the following new constraint:
(10) (new_primQuotInt79(x90, x91, x92, Zero, Succ(x99), Pos(Zero))≥new_primQuotInt85(x90, x92, x91))
We consider the chain new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero)), new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983) which results in the following constraint:
(11) (new_primQuotInt79(x107, x108, Succ(x109), x108, x109, Pos(Zero))=new_primQuotInt79(x110, x111, x112, Zero, Succ(x113), Pos(Zero)) ⇒ new_primQuotInt79(x110, x111, x112, Zero, Succ(x113), Pos(Zero))≥new_primQuotInt85(x110, x112, x111))

We simplified constraint (11) using rules (I), (II), (III) which results in the following new constraint:
(12) (new_primQuotInt79(x107, Zero, Succ(Succ(x113)), Zero, Succ(x113), Pos(Zero))≥new_primQuotInt85(x107, Succ(Succ(x113)), Zero))

For Pair new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) the following chains were created:

We consider the chain new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)), new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)) which results in the following constraint:
(13) (new_primQuotInt88(x114, x115, Succ(x116), Pos(Zero))=new_primQuotInt88(x117, x118, Succ(x119), Pos(Zero)) ⇒ new_primQuotInt88(x117, x118, Succ(x119), Pos(Zero))≥new_primQuotInt78(x117, Succ(x118), Succ(x119), Pos(Zero), Succ(x118)))

We simplified constraint (13) using rules (I), (II), (III) which results in the following new constraint:
(14) (new_primQuotInt88(x114, x115, Succ(x116), Pos(Zero))≥new_primQuotInt78(x114, Succ(x115), Succ(x116), Pos(Zero), Succ(x115)))

For Pair new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero)) the following chains were created:

We consider the chain new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1)), new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero)) which results in the following constraint:
(15) (new_primQuotInt78(x155, Succ(x156), Succ(x157), Pos(Zero), Succ(x156))=new_primQuotInt78(x158, Succ(Succ(x159)), Succ(x160), Pos(Zero), Succ(Succ(x159))) ⇒ new_primQuotInt78(x158, Succ(Succ(x159)), Succ(x160), Pos(Zero), Succ(Succ(x159)))≥new_primQuotInt79(x158, x159, Succ(x160), x159, x160, Pos(Zero)))

We simplified constraint (15) using rules (I), (II), (III) which results in the following new constraint:
(16) (new_primQuotInt78(x155, Succ(Succ(x159)), Succ(x157), Pos(Zero), Succ(Succ(x159)))≥new_primQuotInt79(x155, x159, Succ(x157), x159, x157, Pos(Zero)))

To summarize, we get the following constraints P_≥ for the following pairs.

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
- (new_primQuotInt82(x3, x4, Succ(x5), Pos(Zero))≥new_primQuotInt88(x3, x4, Succ(x5), Pos(Zero)))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
- (new_primQuotInt85(x37, x39, x38)≥new_primQuotInt82(x37, x39, Succ(x38), Pos(Zero)))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
- (new_primQuotInt79(x56, x57, x58, Succ(x65), Succ(x66), x61)≥new_primQuotInt79(x56, x57, x58, x65, x66, x61))
- (new_primQuotInt79(x75, Succ(x81), Succ(Succ(x82)), Succ(x81), Succ(x82), Pos(Zero))≥new_primQuotInt79(x75, Succ(x81), Succ(Succ(x82)), x81, x82, Pos(Zero)))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
- (new_primQuotInt79(x90, x91, x92, Zero, Succ(x99), Pos(Zero))≥new_primQuotInt85(x90, x92, x91))
- (new_primQuotInt79(x107, Zero, Succ(Succ(x113)), Zero, Succ(x113), Pos(Zero))≥new_primQuotInt85(x107, Succ(Succ(x113)), Zero))
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
- (new_primQuotInt88(x114, x115, Succ(x116), Pos(Zero))≥new_primQuotInt78(x114, Succ(x115), Succ(x116), Pos(Zero), Succ(x115)))
new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero))
- (new_primQuotInt78(x155, Succ(Succ(x159)), Succ(x157), Pos(Zero), Succ(Succ(x159)))≥new_primQuotInt79(x155, x159, Succ(x157), x159, x157, Pos(Zero)))

POL(Pos(x₁)) = 0
POL(Succ(x₁)) = 1 + x₁
POL(Zero) = 0
POL(c) = -1
POL(new_primQuotInt78(x₁, x₂, x₃, x₄, x₅)) = -1 + x₁ + x₂ + x₃ + x₄ - x₅
POL(new_primQuotInt79(x₁, x₂, x₃, x₄, x₅, x₆)) = x₁ + x₂ - x₄ + x₅ - x₆
POL(new_primQuotInt82(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ - x₄
POL(new_primQuotInt85(x₁, x₂, x₃)) = x₁ + x₃
POL(new_primQuotInt88(x₁, x₂, x₃, x₄)) = -1 + x₁ + x₃ - x₄

The following pairs are in P_>:

new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)

The following pairs are in P_bound:

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Zero, Succ(vvv9860), Pos(Zero)) → new_primQuotInt85(vvv982, vvv984, vvv983)
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))
new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero))

There are no usable rules

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ UsableRulesProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QReductionProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ Instantiation

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ NonInfProof

                                                                                                                                    ↳ QDP

                                                                                                                                      ↳ DependencyGraphProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt82(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero))
new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
new_primQuotInt85(vvv982, vvv984, vvv983) → new_primQuotInt82(vvv982, vvv984, Succ(vvv983), Pos(Zero))
new_primQuotInt78(z0, Succ(Succ(x1)), Succ(z2), Pos(Zero), Succ(Succ(x1))) → new_primQuotInt79(z0, x1, Succ(z2), x1, z2, Pos(Zero))
new_primQuotInt88(z0, z1, Succ(z2), Pos(Zero)) → new_primQuotInt78(z0, Succ(z1), Succ(z2), Pos(Zero), Succ(z1))

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 1 SCC with 4 less nodes.

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ DependencyGraphProof

                              ↳ AND

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                ↳ QDP

                                  ↳ UsableRulesProof

                                    ↳ QDP

                                      ↳ QReductionProof

                                        ↳ QDP

                                          ↳ Rewriting

                                            ↳ QDP

                                              ↳ Rewriting

                                                ↳ QDP

                                                  ↳ Rewriting

                                                    ↳ QDP

                                                      ↳ Rewriting

                                                        ↳ QDP

                                                          ↳ Rewriting

                                                            ↳ QDP

                                                              ↳ Rewriting

                                                                ↳ QDP

                                                                  ↳ UsableRulesProof

                                                                    ↳ QDP

                                                                      ↳ QReductionProof

                                                                        ↳ QDP

                                                                          ↳ Instantiation

                                                                            ↳ QDP

                                                                              ↳ Instantiation

                                                                                ↳ QDP

                                                                                  ↳ DependencyGraphProof

                                                                                    ↳ QDP

                                                                                      ↳ QDPOrderProof

                                                                                        ↳ QDP

                                                                                          ↳ QDPOrderProof

                                                                                            ↳ QDP

                                                                                              ↳ DependencyGraphProof

                                                                                                ↳ QDP

                                                                                                  ↳ Instantiation

                                                                                                    ↳ QDP

                                                                                                      ↳ Instantiation

                                                                                                        ↳ QDP

                                                                                                          ↳ DependencyGraphProof

                                                                                                            ↳ QDP

                                                                                                              ↳ QDPOrderProof

                                                                                                                ↳ QDP

                                                                                                                  ↳ DependencyGraphProof

                                                                                                                    ↳ QDP

                                                                                                                      ↳ UsableRulesProof

                                                                                                                        ↳ QDP

                                                                                                                          ↳ QReductionProof

                                                                                                                            ↳ QDP

                                                                                                                              ↳ Instantiation

                                                                                                                                ↳ QDP

                                                                                                                                  ↳ NonInfProof

                                                                                                                                    ↳ QDP

                                                                                                                                      ↳ DependencyGraphProof

                                                                                                                                        ↳ QDP

                                                                                                                                          ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)

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

new_primQuotInt79(vvv982, vvv983, vvv984, Succ(vvv9850), Succ(vvv9860), vvv987) → new_primQuotInt79(vvv982, vvv983, vvv984, vvv9850, vvv9860, vvv987)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 > 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt132(vvv973, vvv974, Succ(vvv9750), Succ(vvv9760), vvv977, vvv978) → new_primQuotInt132(vvv973, vvv974, vvv9750, vvv9760, vvv977, vvv978)

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

new_primQuotInt132(vvv973, vvv974, Succ(vvv9750), Succ(vvv9760), vvv977, vvv978) → new_primQuotInt132(vvv973, vvv974, vvv9750, vvv9760, vvv977, vvv978)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt133(vvv588, Succ(vvv5890), Succ(vvv5900), vvv591, vvv592) → new_primQuotInt133(vvv588, vvv5890, vvv5900, vvv591, vvv592)

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

new_primQuotInt133(vvv588, Succ(vvv5890), Succ(vvv5900), vvv591, vvv592) → new_primQuotInt133(vvv588, vvv5890, vvv5900, vvv591, vvv592)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt134(vvv813, vvv814, Succ(vvv8150), Succ(vvv8160), vvv817, vvv818) → new_primQuotInt134(vvv813, vvv814, vvv8150, vvv8160, vvv817, vvv818)

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

new_primQuotInt134(vvv813, vvv814, Succ(vvv8150), Succ(vvv8160), vvv817, vvv818) → new_primQuotInt134(vvv813, vvv814, vvv8150, vvv8160, vvv817, vvv818)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt135(vvv569, Succ(vvv5700), Succ(vvv5710), vvv572, vvv573) → new_primQuotInt135(vvv569, vvv5700, vvv5710, vvv572, vvv573)

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

new_primQuotInt135(vvv569, Succ(vvv5700), Succ(vvv5710), vvv572, vvv573) → new_primQuotInt135(vvv569, vvv5700, vvv5710, vvv572, vvv573)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt136(vvv706, vvv707, Succ(vvv7080), Succ(vvv7090), vvv710, vvv711) → new_primQuotInt136(vvv706, vvv707, vvv7080, vvv7090, vvv710, vvv711)

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

new_primQuotInt136(vvv706, vvv707, Succ(vvv7080), Succ(vvv7090), vvv710, vvv711) → new_primQuotInt136(vvv706, vvv707, vvv7080, vvv7090, vvv710, vvv711)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt137(vvv508, Succ(vvv5090), Succ(vvv5100), vvv511, vvv512) → new_primQuotInt137(vvv508, vvv5090, vvv5100, vvv511, vvv512)

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

new_primQuotInt137(vvv508, Succ(vvv5090), Succ(vvv5100), vvv511, vvv512) → new_primQuotInt137(vvv508, vvv5090, vvv5100, vvv511, vvv512)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt138(vvv450, vvv451, Succ(vvv4520), Succ(vvv4530), vvv454, vvv455) → new_primQuotInt138(vvv450, vvv451, vvv4520, vvv4530, vvv454, vvv455)

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

new_primQuotInt138(vvv450, vvv451, Succ(vvv4520), Succ(vvv4530), vvv454, vvv455) → new_primQuotInt138(vvv450, vvv451, vvv4520, vvv4530, vvv454, vvv455)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt139(vvv347, Succ(vvv3480), Succ(vvv3490), vvv350, vvv351) → new_primQuotInt139(vvv347, vvv3480, vvv3490, vvv350, vvv351)

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

new_primQuotInt139(vvv347, Succ(vvv3480), Succ(vvv3490), vvv350, vvv351) → new_primQuotInt139(vvv347, vvv3480, vvv3490, vvv350, vvv351)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt140(vvv71, Succ(vvv22700), Succ(vvv114000), vvv226, vvv72) → new_primQuotInt140(vvv71, vvv22700, vvv114000, vvv226, vvv72)

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

new_primQuotInt140(vvv71, Succ(vvv22700), Succ(vvv114000), vvv226, vvv72) → new_primQuotInt140(vvv71, vvv22700, vvv114000, vvv226, vvv72)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt141(vvv690, vvv691, Succ(vvv6920), Succ(vvv6930), vvv694, vvv695) → new_primQuotInt141(vvv690, vvv691, vvv6920, vvv6930, vvv694, vvv695)

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

new_primQuotInt141(vvv690, vvv691, Succ(vvv6920), Succ(vvv6930), vvv694, vvv695) → new_primQuotInt141(vvv690, vvv691, vvv6920, vvv6930, vvv694, vvv695)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt142(vvv485, Succ(vvv4860), Succ(vvv4870), vvv488, vvv489) → new_primQuotInt142(vvv485, vvv4860, vvv4870, vvv488, vvv489)

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

new_primQuotInt142(vvv485, Succ(vvv4860), Succ(vvv4870), vvv488, vvv489) → new_primQuotInt142(vvv485, vvv4860, vvv4870, vvv488, vvv489)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt143(vvv457, vvv458, Succ(vvv4590), Succ(vvv4600), vvv461) → new_primQuotInt143(vvv457, vvv458, vvv4590, vvv4600, vvv461)

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

new_primQuotInt143(vvv457, vvv458, Succ(vvv4590), Succ(vvv4600), vvv461) → new_primQuotInt143(vvv457, vvv458, vvv4590, vvv4600, vvv461)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt144(vvv330, Succ(vvv3310), Succ(vvv3320), vvv333) → new_primQuotInt144(vvv330, vvv3310, vvv3320, vvv333)

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

new_primQuotInt144(vvv330, Succ(vvv3310), Succ(vvv3320), vvv333) → new_primQuotInt144(vvv330, vvv3310, vvv3320, vvv333)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt145(vvv429, vvv430, Succ(vvv4310), Succ(vvv4320), vvv433, vvv434) → new_primQuotInt145(vvv429, vvv430, vvv4310, vvv4320, vvv433, vvv434)

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

new_primQuotInt145(vvv429, vvv430, Succ(vvv4310), Succ(vvv4320), vvv433, vvv434) → new_primQuotInt145(vvv429, vvv430, vvv4310, vvv4320, vvv433, vvv434)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt146(vvv376, Succ(vvv3770), Succ(vvv3780), vvv379, vvv380) → new_primQuotInt146(vvv376, vvv3770, vvv3780, vvv379, vvv380)

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

new_primQuotInt146(vvv376, Succ(vvv3770), Succ(vvv3780), vvv379, vvv380) → new_primQuotInt146(vvv376, vvv3770, vvv3780, vvv379, vvv380)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt147(vvv274, Succ(vvv2750), Succ(vvv2760), vvv277, vvv278) → new_primQuotInt147(vvv274, vvv2750, vvv2760, vvv277, vvv278)

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

new_primQuotInt147(vvv274, Succ(vvv2750), Succ(vvv2760), vvv277, vvv278) → new_primQuotInt147(vvv274, vvv2750, vvv2760, vvv277, vvv278)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt148(Succ(vvv1470), Succ(vvv1060), vvv47) → new_primQuotInt148(vvv1470, vvv1060, vvv47)

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

new_primQuotInt148(Succ(vvv1470), Succ(vvv1060), vvv47) → new_primQuotInt148(vvv1470, vvv1060, vvv47)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_reduce2Reduce1(vvv24, vvv25, vvv26, vvv52, vvv51, Succ(vvv5300), Succ(vvv27000)) → new_reduce2Reduce1(vvv24, vvv25, vvv26, vvv52, vvv51, vvv5300, vvv27000)

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

new_reduce2Reduce1(vvv24, vvv25, vvv26, vvv52, vvv51, Succ(vvv5300), Succ(vvv27000)) → new_reduce2Reduce1(vvv24, vvv25, vvv26, vvv52, vvv51, vvv5300, vvv27000)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_reduce2Reduce10(vvv19, vvv20, vvv21, vvv47, vvv46, Succ(vvv4800), Succ(vvv22000)) → new_reduce2Reduce10(vvv19, vvv20, vvv21, vvv47, vvv46, vvv4800, vvv22000)

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

new_reduce2Reduce10(vvv19, vvv20, vvv21, vvv47, vvv46, Succ(vvv4800), Succ(vvv22000)) → new_reduce2Reduce10(vvv19, vvv20, vvv21, vvv47, vvv46, vvv4800, vvv22000)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt149(vvv415, vvv416, Succ(vvv4170), Succ(vvv4180), vvv419, vvv420) → new_primQuotInt149(vvv415, vvv416, vvv4170, vvv4180, vvv419, vvv420)

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

new_primQuotInt149(vvv415, vvv416, Succ(vvv4170), Succ(vvv4180), vvv419, vvv420) → new_primQuotInt149(vvv415, vvv416, vvv4170, vvv4180, vvv419, vvv420)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4, 5 >= 5, 6 >= 6

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt150(vvv318, Succ(vvv3190), Succ(vvv3200), vvv321, vvv322) → new_primQuotInt150(vvv318, vvv3190, vvv3200, vvv321, vvv322)

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

new_primQuotInt150(vvv318, Succ(vvv3190), Succ(vvv3200), vvv321, vvv322) → new_primQuotInt150(vvv318, vvv3190, vvv3200, vvv321, vvv322)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt151(vvv115, Succ(vvv22100), Succ(vvv163000), vvv220, vvv116) → new_primQuotInt151(vvv115, vvv22100, vvv163000, vvv220, vvv116)

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

new_primQuotInt151(vvv115, Succ(vvv22100), Succ(vvv163000), vvv220, vvv116) → new_primQuotInt151(vvv115, vvv22100, vvv163000, vvv220, vvv116)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt152(vvv115, Succ(vvv1850), Succ(vvv2030), vvv163, vvv116) → new_primQuotInt152(vvv115, vvv1850, vvv2030, vvv163, vvv116)

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

new_primQuotInt152(vvv115, Succ(vvv1850), Succ(vvv2030), vvv163, vvv116) → new_primQuotInt152(vvv115, vvv1850, vvv2030, vvv163, vvv116)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 4 >= 4, 5 >= 5

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

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

new_primQuotInt153(Succ(vvv1610), Succ(vvv1720), vvv116) → new_primQuotInt153(vvv1610, vvv1720, vvv116)

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

new_primQuotInt153(Succ(vvv1610), Succ(vvv1720), vvv116) → new_primQuotInt153(vvv1610, vvv1720, vvv116)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

                          ↳ QDP

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

new_reduce2Reduce11(vvv29, vvv30, vvv31, vvv72, vvv71, Succ(vvv7300), Succ(vvv32000)) → new_reduce2Reduce11(vvv29, vvv30, vvv31, vvv72, vvv71, vvv7300, vvv32000)

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

new_reduce2Reduce11(vvv29, vvv30, vvv31, vvv72, vvv71, Succ(vvv7300), Succ(vvv32000)) → new_reduce2Reduce11(vvv29, vvv30, vvv31, vvv72, vvv71, vvv7300, vvv32000)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

                          ↳ QDP

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

new_reduce2Reduce12(vvv8, vvv9, vvv10, vvv116, vvv115, Succ(vvv11700), Succ(vvv12000)) → new_reduce2Reduce12(vvv8, vvv9, vvv10, vvv116, vvv115, vvv11700, vvv12000)

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

new_reduce2Reduce12(vvv8, vvv9, vvv10, vvv116, vvv115, Succ(vvv11700), Succ(vvv12000)) → new_reduce2Reduce12(vvv8, vvv9, vvv10, vvv116, vvv115, vvv11700, vvv12000)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7

↳ HASKELL

  ↳ IFR

    ↳ HASKELL

      ↳ BR

        ↳ HASKELL

          ↳ COR

            ↳ HASKELL

              ↳ LetRed

                ↳ HASKELL

                  ↳ NumRed

                    ↳ HASKELL

                      ↳ Narrow

                        ↳ AND

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                          ↳ QDP

                            ↳ QDPSizeChangeProof

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

new_genericLength(:(vvv30, vvv31), ba) → new_genericLength(vvv31, ba)

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

new_genericLength(:(vvv30, vvv31), ba) → new_genericLength(vvv31, ba)
The graph contains the following edges 1 > 1, 2 >= 2

primDivNatS0	x y True	= Succ (primDivNatS (primMinusNatS x y) (Succ y))
primDivNatS0	x y False	= Zero

primModNatS0	x y True	= primModNatS (primMinusNatS x y) (Succ y)
primModNatS0	x y False	= Succ x

gcd2	True zv zw	= gcd1 (zw == 0) zv zw
gcd2	vuu vuv vuw	= gcd0 vuv vuw

reduce2Reduce1	vuz vvu x y True	= error []
reduce2Reduce1	vuz vvu x y False	= reduce2Reduce0 vuz vvu x y otherwise

gcd0Gcd'2	x yv	= gcd0Gcd'1 (yv == 0) x yv
gcd0Gcd'2	yz zu	= gcd0Gcd'0 yz zu