/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


H-Termination with start terms of the given HASKELL could be proven:

(0) HASKELL
(1) BR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) COR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) Narrow [SOUND, 0 ms]
(6) AND
    (7) QDP
        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (9) YES
    (10) QDP
        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (12) YES


----------------------------------------

(0)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data Main.Char = Char MyInt ;

data MyBool = MyTrue  | MyFalse ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

data Ordering = LT  | EQ  | GT ;

compareChar :: Main.Char  ->  Main.Char  ->  Ordering;
compareChar = primCmpChar;

esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
esEsOrdering LT LT = MyTrue;
esEsOrdering LT EQ = MyFalse;
esEsOrdering LT GT = MyFalse;
esEsOrdering EQ LT = MyFalse;
esEsOrdering EQ EQ = MyTrue;
esEsOrdering EQ GT = MyFalse;
esEsOrdering GT LT = MyFalse;
esEsOrdering GT EQ = MyFalse;
esEsOrdering GT GT = MyTrue;

fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
fsEsOrdering x y = not (esEsOrdering x y);

ltEsChar :: Main.Char  ->  Main.Char  ->  MyBool;
ltEsChar x y = fsEsOrdering (compareChar x y) GT;

max0 x y MyTrue = x;

max1 x y MyTrue = y;
max1 x y MyFalse = max0 x y otherwise;

max2 x y = max1 x y (ltEsChar x y);

maxChar :: Main.Char  ->  Main.Char  ->  Main.Char;
maxChar x y = max2 x y;

not :: MyBool  ->  MyBool;
not MyTrue = MyFalse;
not MyFalse = MyTrue;

otherwise :: MyBool;
otherwise = MyTrue;

primCmpChar :: Main.Char  ->  Main.Char  ->  Ordering;
primCmpChar (Main.Char x) (Main.Char y) = primCmpInt x y;

primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
primCmpInt (Main.Pos x) (Main.Neg y) = GT;
primCmpInt (Main.Neg x) (Main.Pos y) = LT;
primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;

primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
primCmpNat Main.Zero Main.Zero = EQ;
primCmpNat Main.Zero (Main.Succ y) = LT;
primCmpNat (Main.Succ x) Main.Zero = GT;
primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;

}

----------------------------------------

(1) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.
----------------------------------------

(2)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data Main.Char = Char MyInt ;

data MyBool = MyTrue  | MyFalse ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

data Ordering = LT  | EQ  | GT ;

compareChar :: Main.Char  ->  Main.Char  ->  Ordering;
compareChar = primCmpChar;

esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
esEsOrdering LT LT = MyTrue;
esEsOrdering LT EQ = MyFalse;
esEsOrdering LT GT = MyFalse;
esEsOrdering EQ LT = MyFalse;
esEsOrdering EQ EQ = MyTrue;
esEsOrdering EQ GT = MyFalse;
esEsOrdering GT LT = MyFalse;
esEsOrdering GT EQ = MyFalse;
esEsOrdering GT GT = MyTrue;

fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
fsEsOrdering x y = not (esEsOrdering x y);

ltEsChar :: Main.Char  ->  Main.Char  ->  MyBool;
ltEsChar x y = fsEsOrdering (compareChar x y) GT;

max0 x y MyTrue = x;

max1 x y MyTrue = y;
max1 x y MyFalse = max0 x y otherwise;

max2 x y = max1 x y (ltEsChar x y);

maxChar :: Main.Char  ->  Main.Char  ->  Main.Char;
maxChar x y = max2 x y;

not :: MyBool  ->  MyBool;
not MyTrue = MyFalse;
not MyFalse = MyTrue;

otherwise :: MyBool;
otherwise = MyTrue;

primCmpChar :: Main.Char  ->  Main.Char  ->  Ordering;
primCmpChar (Main.Char x) (Main.Char y) = primCmpInt x y;

primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
primCmpInt (Main.Pos x) (Main.Neg y) = GT;
primCmpInt (Main.Neg x) (Main.Pos y) = LT;
primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;

primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
primCmpNat Main.Zero Main.Zero = EQ;
primCmpNat Main.Zero (Main.Succ y) = LT;
primCmpNat (Main.Succ x) Main.Zero = GT;
primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;

}

----------------------------------------

(3) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"

----------------------------------------

(4)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data Main.Char = Char MyInt ;

data MyBool = MyTrue  | MyFalse ;

data MyInt = Pos Main.Nat  | Neg Main.Nat ;

data Main.Nat = Succ Main.Nat  | Zero ;

data Ordering = LT  | EQ  | GT ;

compareChar :: Main.Char  ->  Main.Char  ->  Ordering;
compareChar = primCmpChar;

esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
esEsOrdering LT LT = MyTrue;
esEsOrdering LT EQ = MyFalse;
esEsOrdering LT GT = MyFalse;
esEsOrdering EQ LT = MyFalse;
esEsOrdering EQ EQ = MyTrue;
esEsOrdering EQ GT = MyFalse;
esEsOrdering GT LT = MyFalse;
esEsOrdering GT EQ = MyFalse;
esEsOrdering GT GT = MyTrue;

fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
fsEsOrdering x y = not (esEsOrdering x y);

ltEsChar :: Main.Char  ->  Main.Char  ->  MyBool;
ltEsChar x y = fsEsOrdering (compareChar x y) GT;

max0 x y MyTrue = x;

max1 x y MyTrue = y;
max1 x y MyFalse = max0 x y otherwise;

max2 x y = max1 x y (ltEsChar x y);

maxChar :: Main.Char  ->  Main.Char  ->  Main.Char;
maxChar x y = max2 x y;

not :: MyBool  ->  MyBool;
not MyTrue = MyFalse;
not MyFalse = MyTrue;

otherwise :: MyBool;
otherwise = MyTrue;

primCmpChar :: Main.Char  ->  Main.Char  ->  Ordering;
primCmpChar (Main.Char x) (Main.Char y) = primCmpInt x y;

primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
primCmpInt (Main.Pos x) (Main.Neg y) = GT;
primCmpInt (Main.Neg x) (Main.Pos y) = LT;
primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;

primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
primCmpNat Main.Zero Main.Zero = EQ;
primCmpNat Main.Zero (Main.Succ y) = LT;
primCmpNat (Main.Succ x) Main.Zero = GT;
primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;

}

----------------------------------------

(5) Narrow (SOUND)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="maxChar",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="maxChar vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="maxChar vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="max2 vx3 vx4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="max1 vx3 vx4 (ltEsChar vx3 vx4)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
7[label="max1 vx3 vx4 (fsEsOrdering (compareChar vx3 vx4) GT)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
8[label="max1 vx3 vx4 (not (esEsOrdering (compareChar vx3 vx4) GT))",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9[label="max1 vx3 vx4 (not (esEsOrdering (primCmpChar vx3 vx4) GT))",fontsize=16,color="burlywood",shape="box"];594[label="vx3/Char vx30",fontsize=10,color="white",style="solid",shape="box"];9 -> 594[label="",style="solid", color="burlywood", weight=9];
594 -> 10[label="",style="solid", color="burlywood", weight=3];
10[label="max1 (Char vx30) vx4 (not (esEsOrdering (primCmpChar (Char vx30) vx4) GT))",fontsize=16,color="burlywood",shape="box"];595[label="vx4/Char vx40",fontsize=10,color="white",style="solid",shape="box"];10 -> 595[label="",style="solid", color="burlywood", weight=9];
595 -> 11[label="",style="solid", color="burlywood", weight=3];
11[label="max1 (Char vx30) (Char vx40) (not (esEsOrdering (primCmpChar (Char vx30) (Char vx40)) GT))",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3];
12[label="max1 (Char vx30) (Char vx40) (not (esEsOrdering (primCmpInt vx30 vx40) GT))",fontsize=16,color="burlywood",shape="box"];596[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];12 -> 596[label="",style="solid", color="burlywood", weight=9];
596 -> 13[label="",style="solid", color="burlywood", weight=3];
597[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];12 -> 597[label="",style="solid", color="burlywood", weight=9];
597 -> 14[label="",style="solid", color="burlywood", weight=3];
13[label="max1 (Char (Pos vx300)) (Char vx40) (not (esEsOrdering (primCmpInt (Pos vx300) vx40) GT))",fontsize=16,color="burlywood",shape="box"];598[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];13 -> 598[label="",style="solid", color="burlywood", weight=9];
598 -> 15[label="",style="solid", color="burlywood", weight=3];
599[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];13 -> 599[label="",style="solid", color="burlywood", weight=9];
599 -> 16[label="",style="solid", color="burlywood", weight=3];
14[label="max1 (Char (Neg vx300)) (Char vx40) (not (esEsOrdering (primCmpInt (Neg vx300) vx40) GT))",fontsize=16,color="burlywood",shape="box"];600[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];14 -> 600[label="",style="solid", color="burlywood", weight=9];
600 -> 17[label="",style="solid", color="burlywood", weight=3];
601[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];14 -> 601[label="",style="solid", color="burlywood", weight=9];
601 -> 18[label="",style="solid", color="burlywood", weight=3];
15[label="max1 (Char (Pos (Succ vx3000))) (Char vx40) (not (esEsOrdering (primCmpInt (Pos (Succ vx3000)) vx40) GT))",fontsize=16,color="burlywood",shape="box"];602[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];15 -> 602[label="",style="solid", color="burlywood", weight=9];
602 -> 19[label="",style="solid", color="burlywood", weight=3];
603[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];15 -> 603[label="",style="solid", color="burlywood", weight=9];
603 -> 20[label="",style="solid", color="burlywood", weight=3];
16[label="max1 (Char (Pos Zero)) (Char vx40) (not (esEsOrdering (primCmpInt (Pos Zero) vx40) GT))",fontsize=16,color="burlywood",shape="box"];604[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];16 -> 604[label="",style="solid", color="burlywood", weight=9];
604 -> 21[label="",style="solid", color="burlywood", weight=3];
605[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];16 -> 605[label="",style="solid", color="burlywood", weight=9];
605 -> 22[label="",style="solid", color="burlywood", weight=3];
17[label="max1 (Char (Neg (Succ vx3000))) (Char vx40) (not (esEsOrdering (primCmpInt (Neg (Succ vx3000)) vx40) GT))",fontsize=16,color="burlywood",shape="box"];606[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];17 -> 606[label="",style="solid", color="burlywood", weight=9];
606 -> 23[label="",style="solid", color="burlywood", weight=3];
607[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];17 -> 607[label="",style="solid", color="burlywood", weight=9];
607 -> 24[label="",style="solid", color="burlywood", weight=3];
18[label="max1 (Char (Neg Zero)) (Char vx40) (not (esEsOrdering (primCmpInt (Neg Zero) vx40) GT))",fontsize=16,color="burlywood",shape="box"];608[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];18 -> 608[label="",style="solid", color="burlywood", weight=9];
608 -> 25[label="",style="solid", color="burlywood", weight=3];
609[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];18 -> 609[label="",style="solid", color="burlywood", weight=9];
609 -> 26[label="",style="solid", color="burlywood", weight=3];
19[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos vx400)) (not (esEsOrdering (primCmpInt (Pos (Succ vx3000)) (Pos vx400)) GT))",fontsize=16,color="black",shape="box"];19 -> 27[label="",style="solid", color="black", weight=3];
20[label="max1 (Char (Pos (Succ vx3000))) (Char (Neg vx400)) (not (esEsOrdering (primCmpInt (Pos (Succ vx3000)) (Neg vx400)) GT))",fontsize=16,color="black",shape="box"];20 -> 28[label="",style="solid", color="black", weight=3];
21[label="max1 (Char (Pos Zero)) (Char (Pos vx400)) (not (esEsOrdering (primCmpInt (Pos Zero) (Pos vx400)) GT))",fontsize=16,color="burlywood",shape="box"];610[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];21 -> 610[label="",style="solid", color="burlywood", weight=9];
610 -> 29[label="",style="solid", color="burlywood", weight=3];
611[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];21 -> 611[label="",style="solid", color="burlywood", weight=9];
611 -> 30[label="",style="solid", color="burlywood", weight=3];
22[label="max1 (Char (Pos Zero)) (Char (Neg vx400)) (not (esEsOrdering (primCmpInt (Pos Zero) (Neg vx400)) GT))",fontsize=16,color="burlywood",shape="box"];612[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];22 -> 612[label="",style="solid", color="burlywood", weight=9];
612 -> 31[label="",style="solid", color="burlywood", weight=3];
613[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];22 -> 613[label="",style="solid", color="burlywood", weight=9];
613 -> 32[label="",style="solid", color="burlywood", weight=3];
23[label="max1 (Char (Neg (Succ vx3000))) (Char (Pos vx400)) (not (esEsOrdering (primCmpInt (Neg (Succ vx3000)) (Pos vx400)) GT))",fontsize=16,color="black",shape="box"];23 -> 33[label="",style="solid", color="black", weight=3];
24[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg vx400)) (not (esEsOrdering (primCmpInt (Neg (Succ vx3000)) (Neg vx400)) GT))",fontsize=16,color="black",shape="box"];24 -> 34[label="",style="solid", color="black", weight=3];
25[label="max1 (Char (Neg Zero)) (Char (Pos vx400)) (not (esEsOrdering (primCmpInt (Neg Zero) (Pos vx400)) GT))",fontsize=16,color="burlywood",shape="box"];614[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];25 -> 614[label="",style="solid", color="burlywood", weight=9];
614 -> 35[label="",style="solid", color="burlywood", weight=3];
615[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];25 -> 615[label="",style="solid", color="burlywood", weight=9];
615 -> 36[label="",style="solid", color="burlywood", weight=3];
26[label="max1 (Char (Neg Zero)) (Char (Neg vx400)) (not (esEsOrdering (primCmpInt (Neg Zero) (Neg vx400)) GT))",fontsize=16,color="burlywood",shape="box"];616[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];26 -> 616[label="",style="solid", color="burlywood", weight=9];
616 -> 37[label="",style="solid", color="burlywood", weight=3];
617[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];26 -> 617[label="",style="solid", color="burlywood", weight=9];
617 -> 38[label="",style="solid", color="burlywood", weight=3];
27[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos vx400)) (not (esEsOrdering (primCmpNat (Succ vx3000) vx400) GT))",fontsize=16,color="burlywood",shape="box"];618[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];27 -> 618[label="",style="solid", color="burlywood", weight=9];
618 -> 39[label="",style="solid", color="burlywood", weight=3];
619[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];27 -> 619[label="",style="solid", color="burlywood", weight=9];
619 -> 40[label="",style="solid", color="burlywood", weight=3];
28[label="max1 (Char (Pos (Succ vx3000))) (Char (Neg vx400)) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];28 -> 41[label="",style="solid", color="black", weight=3];
29[label="max1 (Char (Pos Zero)) (Char (Pos (Succ vx4000))) (not (esEsOrdering (primCmpInt (Pos Zero) (Pos (Succ vx4000))) GT))",fontsize=16,color="black",shape="box"];29 -> 42[label="",style="solid", color="black", weight=3];
30[label="max1 (Char (Pos Zero)) (Char (Pos Zero)) (not (esEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) GT))",fontsize=16,color="black",shape="box"];30 -> 43[label="",style="solid", color="black", weight=3];
31[label="max1 (Char (Pos Zero)) (Char (Neg (Succ vx4000))) (not (esEsOrdering (primCmpInt (Pos Zero) (Neg (Succ vx4000))) GT))",fontsize=16,color="black",shape="box"];31 -> 44[label="",style="solid", color="black", weight=3];
32[label="max1 (Char (Pos Zero)) (Char (Neg Zero)) (not (esEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) GT))",fontsize=16,color="black",shape="box"];32 -> 45[label="",style="solid", color="black", weight=3];
33[label="max1 (Char (Neg (Succ vx3000))) (Char (Pos vx400)) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];33 -> 46[label="",style="solid", color="black", weight=3];
34[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg vx400)) (not (esEsOrdering (primCmpNat vx400 (Succ vx3000)) GT))",fontsize=16,color="burlywood",shape="box"];620[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];34 -> 620[label="",style="solid", color="burlywood", weight=9];
620 -> 47[label="",style="solid", color="burlywood", weight=3];
621[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];34 -> 621[label="",style="solid", color="burlywood", weight=9];
621 -> 48[label="",style="solid", color="burlywood", weight=3];
35[label="max1 (Char (Neg Zero)) (Char (Pos (Succ vx4000))) (not (esEsOrdering (primCmpInt (Neg Zero) (Pos (Succ vx4000))) GT))",fontsize=16,color="black",shape="box"];35 -> 49[label="",style="solid", color="black", weight=3];
36[label="max1 (Char (Neg Zero)) (Char (Pos Zero)) (not (esEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) GT))",fontsize=16,color="black",shape="box"];36 -> 50[label="",style="solid", color="black", weight=3];
37[label="max1 (Char (Neg Zero)) (Char (Neg (Succ vx4000))) (not (esEsOrdering (primCmpInt (Neg Zero) (Neg (Succ vx4000))) GT))",fontsize=16,color="black",shape="box"];37 -> 51[label="",style="solid", color="black", weight=3];
38[label="max1 (Char (Neg Zero)) (Char (Neg Zero)) (not (esEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) GT))",fontsize=16,color="black",shape="box"];38 -> 52[label="",style="solid", color="black", weight=3];
39[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos (Succ vx4000))) (not (esEsOrdering (primCmpNat (Succ vx3000) (Succ vx4000)) GT))",fontsize=16,color="black",shape="box"];39 -> 53[label="",style="solid", color="black", weight=3];
40[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos Zero)) (not (esEsOrdering (primCmpNat (Succ vx3000) Zero) GT))",fontsize=16,color="black",shape="box"];40 -> 54[label="",style="solid", color="black", weight=3];
41[label="max1 (Char (Pos (Succ vx3000))) (Char (Neg vx400)) (not MyTrue)",fontsize=16,color="black",shape="box"];41 -> 55[label="",style="solid", color="black", weight=3];
42[label="max1 (Char (Pos Zero)) (Char (Pos (Succ vx4000))) (not (esEsOrdering (primCmpNat Zero (Succ vx4000)) GT))",fontsize=16,color="black",shape="box"];42 -> 56[label="",style="solid", color="black", weight=3];
43[label="max1 (Char (Pos Zero)) (Char (Pos Zero)) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];43 -> 57[label="",style="solid", color="black", weight=3];
44[label="max1 (Char (Pos Zero)) (Char (Neg (Succ vx4000))) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];44 -> 58[label="",style="solid", color="black", weight=3];
45[label="max1 (Char (Pos Zero)) (Char (Neg Zero)) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];45 -> 59[label="",style="solid", color="black", weight=3];
46[label="max1 (Char (Neg (Succ vx3000))) (Char (Pos vx400)) (not MyFalse)",fontsize=16,color="black",shape="box"];46 -> 60[label="",style="solid", color="black", weight=3];
47[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg (Succ vx4000))) (not (esEsOrdering (primCmpNat (Succ vx4000) (Succ vx3000)) GT))",fontsize=16,color="black",shape="box"];47 -> 61[label="",style="solid", color="black", weight=3];
48[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg Zero)) (not (esEsOrdering (primCmpNat Zero (Succ vx3000)) GT))",fontsize=16,color="black",shape="box"];48 -> 62[label="",style="solid", color="black", weight=3];
49[label="max1 (Char (Neg Zero)) (Char (Pos (Succ vx4000))) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];49 -> 63[label="",style="solid", color="black", weight=3];
50[label="max1 (Char (Neg Zero)) (Char (Pos Zero)) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];50 -> 64[label="",style="solid", color="black", weight=3];
51[label="max1 (Char (Neg Zero)) (Char (Neg (Succ vx4000))) (not (esEsOrdering (primCmpNat (Succ vx4000) Zero) GT))",fontsize=16,color="black",shape="box"];51 -> 65[label="",style="solid", color="black", weight=3];
52[label="max1 (Char (Neg Zero)) (Char (Neg Zero)) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];52 -> 66[label="",style="solid", color="black", weight=3];
53 -> 456[label="",style="dashed", color="red", weight=0];
53[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos (Succ vx4000))) (not (esEsOrdering (primCmpNat vx3000 vx4000) GT))",fontsize=16,color="magenta"];53 -> 457[label="",style="dashed", color="magenta", weight=3];
53 -> 458[label="",style="dashed", color="magenta", weight=3];
53 -> 459[label="",style="dashed", color="magenta", weight=3];
53 -> 460[label="",style="dashed", color="magenta", weight=3];
54[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos Zero)) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];54 -> 69[label="",style="solid", color="black", weight=3];
55[label="max1 (Char (Pos (Succ vx3000))) (Char (Neg vx400)) MyFalse",fontsize=16,color="black",shape="box"];55 -> 70[label="",style="solid", color="black", weight=3];
56[label="max1 (Char (Pos Zero)) (Char (Pos (Succ vx4000))) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];56 -> 71[label="",style="solid", color="black", weight=3];
57[label="max1 (Char (Pos Zero)) (Char (Pos Zero)) (not MyFalse)",fontsize=16,color="black",shape="box"];57 -> 72[label="",style="solid", color="black", weight=3];
58[label="max1 (Char (Pos Zero)) (Char (Neg (Succ vx4000))) (not MyTrue)",fontsize=16,color="black",shape="box"];58 -> 73[label="",style="solid", color="black", weight=3];
59[label="max1 (Char (Pos Zero)) (Char (Neg Zero)) (not MyFalse)",fontsize=16,color="black",shape="box"];59 -> 74[label="",style="solid", color="black", weight=3];
60[label="max1 (Char (Neg (Succ vx3000))) (Char (Pos vx400)) MyTrue",fontsize=16,color="black",shape="box"];60 -> 75[label="",style="solid", color="black", weight=3];
61 -> 526[label="",style="dashed", color="red", weight=0];
61[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg (Succ vx4000))) (not (esEsOrdering (primCmpNat vx4000 vx3000) GT))",fontsize=16,color="magenta"];61 -> 527[label="",style="dashed", color="magenta", weight=3];
61 -> 528[label="",style="dashed", color="magenta", weight=3];
61 -> 529[label="",style="dashed", color="magenta", weight=3];
61 -> 530[label="",style="dashed", color="magenta", weight=3];
62[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg Zero)) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];62 -> 78[label="",style="solid", color="black", weight=3];
63[label="max1 (Char (Neg Zero)) (Char (Pos (Succ vx4000))) (not MyFalse)",fontsize=16,color="black",shape="box"];63 -> 79[label="",style="solid", color="black", weight=3];
64[label="max1 (Char (Neg Zero)) (Char (Pos Zero)) (not MyFalse)",fontsize=16,color="black",shape="box"];64 -> 80[label="",style="solid", color="black", weight=3];
65[label="max1 (Char (Neg Zero)) (Char (Neg (Succ vx4000))) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];65 -> 81[label="",style="solid", color="black", weight=3];
66[label="max1 (Char (Neg Zero)) (Char (Neg Zero)) (not MyFalse)",fontsize=16,color="black",shape="box"];66 -> 82[label="",style="solid", color="black", weight=3];
457[label="vx3000",fontsize=16,color="green",shape="box"];458[label="vx4000",fontsize=16,color="green",shape="box"];459[label="vx3000",fontsize=16,color="green",shape="box"];460[label="vx4000",fontsize=16,color="green",shape="box"];456[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat vx43 vx44) GT))",fontsize=16,color="burlywood",shape="triangle"];622[label="vx43/Succ vx430",fontsize=10,color="white",style="solid",shape="box"];456 -> 622[label="",style="solid", color="burlywood", weight=9];
622 -> 493[label="",style="solid", color="burlywood", weight=3];
623[label="vx43/Zero",fontsize=10,color="white",style="solid",shape="box"];456 -> 623[label="",style="solid", color="burlywood", weight=9];
623 -> 494[label="",style="solid", color="burlywood", weight=3];
69[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos Zero)) (not MyTrue)",fontsize=16,color="black",shape="box"];69 -> 87[label="",style="solid", color="black", weight=3];
70[label="max0 (Char (Pos (Succ vx3000))) (Char (Neg vx400)) otherwise",fontsize=16,color="black",shape="box"];70 -> 88[label="",style="solid", color="black", weight=3];
71[label="max1 (Char (Pos Zero)) (Char (Pos (Succ vx4000))) (not MyFalse)",fontsize=16,color="black",shape="box"];71 -> 89[label="",style="solid", color="black", weight=3];
72[label="max1 (Char (Pos Zero)) (Char (Pos Zero)) MyTrue",fontsize=16,color="black",shape="box"];72 -> 90[label="",style="solid", color="black", weight=3];
73[label="max1 (Char (Pos Zero)) (Char (Neg (Succ vx4000))) MyFalse",fontsize=16,color="black",shape="box"];73 -> 91[label="",style="solid", color="black", weight=3];
74[label="max1 (Char (Pos Zero)) (Char (Neg Zero)) MyTrue",fontsize=16,color="black",shape="box"];74 -> 92[label="",style="solid", color="black", weight=3];
75[label="Char (Pos vx400)",fontsize=16,color="green",shape="box"];527[label="vx4000",fontsize=16,color="green",shape="box"];528[label="vx3000",fontsize=16,color="green",shape="box"];529[label="vx3000",fontsize=16,color="green",shape="box"];530[label="vx4000",fontsize=16,color="green",shape="box"];526[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat vx52 vx53) GT))",fontsize=16,color="burlywood",shape="triangle"];624[label="vx52/Succ vx520",fontsize=10,color="white",style="solid",shape="box"];526 -> 624[label="",style="solid", color="burlywood", weight=9];
624 -> 567[label="",style="solid", color="burlywood", weight=3];
625[label="vx52/Zero",fontsize=10,color="white",style="solid",shape="box"];526 -> 625[label="",style="solid", color="burlywood", weight=9];
625 -> 568[label="",style="solid", color="burlywood", weight=3];
78[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg Zero)) (not MyFalse)",fontsize=16,color="black",shape="box"];78 -> 97[label="",style="solid", color="black", weight=3];
79[label="max1 (Char (Neg Zero)) (Char (Pos (Succ vx4000))) MyTrue",fontsize=16,color="black",shape="box"];79 -> 98[label="",style="solid", color="black", weight=3];
80[label="max1 (Char (Neg Zero)) (Char (Pos Zero)) MyTrue",fontsize=16,color="black",shape="box"];80 -> 99[label="",style="solid", color="black", weight=3];
81[label="max1 (Char (Neg Zero)) (Char (Neg (Succ vx4000))) (not MyTrue)",fontsize=16,color="black",shape="box"];81 -> 100[label="",style="solid", color="black", weight=3];
82[label="max1 (Char (Neg Zero)) (Char (Neg Zero)) MyTrue",fontsize=16,color="black",shape="box"];82 -> 101[label="",style="solid", color="black", weight=3];
493[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat (Succ vx430) vx44) GT))",fontsize=16,color="burlywood",shape="box"];626[label="vx44/Succ vx440",fontsize=10,color="white",style="solid",shape="box"];493 -> 626[label="",style="solid", color="burlywood", weight=9];
626 -> 499[label="",style="solid", color="burlywood", weight=3];
627[label="vx44/Zero",fontsize=10,color="white",style="solid",shape="box"];493 -> 627[label="",style="solid", color="burlywood", weight=9];
627 -> 500[label="",style="solid", color="burlywood", weight=3];
494[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat Zero vx44) GT))",fontsize=16,color="burlywood",shape="box"];628[label="vx44/Succ vx440",fontsize=10,color="white",style="solid",shape="box"];494 -> 628[label="",style="solid", color="burlywood", weight=9];
628 -> 501[label="",style="solid", color="burlywood", weight=3];
629[label="vx44/Zero",fontsize=10,color="white",style="solid",shape="box"];494 -> 629[label="",style="solid", color="burlywood", weight=9];
629 -> 502[label="",style="solid", color="burlywood", weight=3];
87[label="max1 (Char (Pos (Succ vx3000))) (Char (Pos Zero)) MyFalse",fontsize=16,color="black",shape="box"];87 -> 106[label="",style="solid", color="black", weight=3];
88[label="max0 (Char (Pos (Succ vx3000))) (Char (Neg vx400)) MyTrue",fontsize=16,color="black",shape="box"];88 -> 107[label="",style="solid", color="black", weight=3];
89[label="max1 (Char (Pos Zero)) (Char (Pos (Succ vx4000))) MyTrue",fontsize=16,color="black",shape="box"];89 -> 108[label="",style="solid", color="black", weight=3];
90[label="Char (Pos Zero)",fontsize=16,color="green",shape="box"];91[label="max0 (Char (Pos Zero)) (Char (Neg (Succ vx4000))) otherwise",fontsize=16,color="black",shape="box"];91 -> 109[label="",style="solid", color="black", weight=3];
92[label="Char (Neg Zero)",fontsize=16,color="green",shape="box"];567[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat (Succ vx520) vx53) GT))",fontsize=16,color="burlywood",shape="box"];630[label="vx53/Succ vx530",fontsize=10,color="white",style="solid",shape="box"];567 -> 630[label="",style="solid", color="burlywood", weight=9];
630 -> 571[label="",style="solid", color="burlywood", weight=3];
631[label="vx53/Zero",fontsize=10,color="white",style="solid",shape="box"];567 -> 631[label="",style="solid", color="burlywood", weight=9];
631 -> 572[label="",style="solid", color="burlywood", weight=3];
568[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat Zero vx53) GT))",fontsize=16,color="burlywood",shape="box"];632[label="vx53/Succ vx530",fontsize=10,color="white",style="solid",shape="box"];568 -> 632[label="",style="solid", color="burlywood", weight=9];
632 -> 573[label="",style="solid", color="burlywood", weight=3];
633[label="vx53/Zero",fontsize=10,color="white",style="solid",shape="box"];568 -> 633[label="",style="solid", color="burlywood", weight=9];
633 -> 574[label="",style="solid", color="burlywood", weight=3];
97[label="max1 (Char (Neg (Succ vx3000))) (Char (Neg Zero)) MyTrue",fontsize=16,color="black",shape="box"];97 -> 114[label="",style="solid", color="black", weight=3];
98[label="Char (Pos (Succ vx4000))",fontsize=16,color="green",shape="box"];99[label="Char (Pos Zero)",fontsize=16,color="green",shape="box"];100[label="max1 (Char (Neg Zero)) (Char (Neg (Succ vx4000))) MyFalse",fontsize=16,color="black",shape="box"];100 -> 115[label="",style="solid", color="black", weight=3];
101[label="Char (Neg Zero)",fontsize=16,color="green",shape="box"];499[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat (Succ vx430) (Succ vx440)) GT))",fontsize=16,color="black",shape="box"];499 -> 507[label="",style="solid", color="black", weight=3];
500[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat (Succ vx430) Zero) GT))",fontsize=16,color="black",shape="box"];500 -> 508[label="",style="solid", color="black", weight=3];
501[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat Zero (Succ vx440)) GT))",fontsize=16,color="black",shape="box"];501 -> 509[label="",style="solid", color="black", weight=3];
502[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat Zero Zero) GT))",fontsize=16,color="black",shape="box"];502 -> 510[label="",style="solid", color="black", weight=3];
106[label="max0 (Char (Pos (Succ vx3000))) (Char (Pos Zero)) otherwise",fontsize=16,color="black",shape="box"];106 -> 121[label="",style="solid", color="black", weight=3];
107[label="Char (Pos (Succ vx3000))",fontsize=16,color="green",shape="box"];108[label="Char (Pos (Succ vx4000))",fontsize=16,color="green",shape="box"];109[label="max0 (Char (Pos Zero)) (Char (Neg (Succ vx4000))) MyTrue",fontsize=16,color="black",shape="box"];109 -> 122[label="",style="solid", color="black", weight=3];
571[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat (Succ vx520) (Succ vx530)) GT))",fontsize=16,color="black",shape="box"];571 -> 577[label="",style="solid", color="black", weight=3];
572[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat (Succ vx520) Zero) GT))",fontsize=16,color="black",shape="box"];572 -> 578[label="",style="solid", color="black", weight=3];
573[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat Zero (Succ vx530)) GT))",fontsize=16,color="black",shape="box"];573 -> 579[label="",style="solid", color="black", weight=3];
574[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat Zero Zero) GT))",fontsize=16,color="black",shape="box"];574 -> 580[label="",style="solid", color="black", weight=3];
114[label="Char (Neg Zero)",fontsize=16,color="green",shape="box"];115[label="max0 (Char (Neg Zero)) (Char (Neg (Succ vx4000))) otherwise",fontsize=16,color="black",shape="box"];115 -> 128[label="",style="solid", color="black", weight=3];
507 -> 456[label="",style="dashed", color="red", weight=0];
507[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering (primCmpNat vx430 vx440) GT))",fontsize=16,color="magenta"];507 -> 515[label="",style="dashed", color="magenta", weight=3];
507 -> 516[label="",style="dashed", color="magenta", weight=3];
508[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];508 -> 517[label="",style="solid", color="black", weight=3];
509[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];509 -> 518[label="",style="solid", color="black", weight=3];
510[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];510 -> 519[label="",style="solid", color="black", weight=3];
121[label="max0 (Char (Pos (Succ vx3000))) (Char (Pos Zero)) MyTrue",fontsize=16,color="black",shape="box"];121 -> 136[label="",style="solid", color="black", weight=3];
122[label="Char (Pos Zero)",fontsize=16,color="green",shape="box"];577 -> 526[label="",style="dashed", color="red", weight=0];
577[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering (primCmpNat vx520 vx530) GT))",fontsize=16,color="magenta"];577 -> 582[label="",style="dashed", color="magenta", weight=3];
577 -> 583[label="",style="dashed", color="magenta", weight=3];
578[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];578 -> 584[label="",style="solid", color="black", weight=3];
579[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];579 -> 585[label="",style="solid", color="black", weight=3];
580[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];580 -> 586[label="",style="solid", color="black", weight=3];
128[label="max0 (Char (Neg Zero)) (Char (Neg (Succ vx4000))) MyTrue",fontsize=16,color="black",shape="box"];128 -> 144[label="",style="solid", color="black", weight=3];
515[label="vx430",fontsize=16,color="green",shape="box"];516[label="vx440",fontsize=16,color="green",shape="box"];517[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not MyTrue)",fontsize=16,color="black",shape="box"];517 -> 569[label="",style="solid", color="black", weight=3];
518[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not MyFalse)",fontsize=16,color="black",shape="triangle"];518 -> 570[label="",style="solid", color="black", weight=3];
519 -> 518[label="",style="dashed", color="red", weight=0];
519[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) (not MyFalse)",fontsize=16,color="magenta"];136[label="Char (Pos (Succ vx3000))",fontsize=16,color="green",shape="box"];582[label="vx530",fontsize=16,color="green",shape="box"];583[label="vx520",fontsize=16,color="green",shape="box"];584[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not MyTrue)",fontsize=16,color="black",shape="box"];584 -> 588[label="",style="solid", color="black", weight=3];
585[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not MyFalse)",fontsize=16,color="black",shape="triangle"];585 -> 589[label="",style="solid", color="black", weight=3];
586 -> 585[label="",style="dashed", color="red", weight=0];
586[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) (not MyFalse)",fontsize=16,color="magenta"];144[label="Char (Neg Zero)",fontsize=16,color="green",shape="box"];569[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) MyFalse",fontsize=16,color="black",shape="box"];569 -> 575[label="",style="solid", color="black", weight=3];
570[label="max1 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) MyTrue",fontsize=16,color="black",shape="box"];570 -> 576[label="",style="solid", color="black", weight=3];
588[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) MyFalse",fontsize=16,color="black",shape="box"];588 -> 590[label="",style="solid", color="black", weight=3];
589[label="max1 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) MyTrue",fontsize=16,color="black",shape="box"];589 -> 591[label="",style="solid", color="black", weight=3];
575[label="max0 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) otherwise",fontsize=16,color="black",shape="box"];575 -> 581[label="",style="solid", color="black", weight=3];
576[label="Char (Pos (Succ vx42))",fontsize=16,color="green",shape="box"];590[label="max0 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) otherwise",fontsize=16,color="black",shape="box"];590 -> 592[label="",style="solid", color="black", weight=3];
591[label="Char (Neg (Succ vx51))",fontsize=16,color="green",shape="box"];581[label="max0 (Char (Pos (Succ vx41))) (Char (Pos (Succ vx42))) MyTrue",fontsize=16,color="black",shape="box"];581 -> 587[label="",style="solid", color="black", weight=3];
592[label="max0 (Char (Neg (Succ vx50))) (Char (Neg (Succ vx51))) MyTrue",fontsize=16,color="black",shape="box"];592 -> 593[label="",style="solid", color="black", weight=3];
587[label="Char (Pos (Succ vx41))",fontsize=16,color="green",shape="box"];593[label="Char (Neg (Succ vx50))",fontsize=16,color="green",shape="box"];}

----------------------------------------

(6)
Complex Obligation (AND)

----------------------------------------

(7)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_max1(vx50, vx51, Main.Succ(vx520), Main.Succ(vx530)) -> new_max1(vx50, vx51, vx520, vx530)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(8) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_max1(vx50, vx51, Main.Succ(vx520), Main.Succ(vx530)) -> new_max1(vx50, vx51, vx520, vx530)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4


----------------------------------------

(9)
YES

----------------------------------------

(10)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_max10(vx41, vx42, Main.Succ(vx430), Main.Succ(vx440)) -> new_max10(vx41, vx42, vx430, vx440)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(11) QDPSizeChangeProof (EQUIVALENT)
By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_max10(vx41, vx42, Main.Succ(vx430), Main.Succ(vx440)) -> new_max10(vx41, vx42, vx430, vx440)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4


----------------------------------------

(12)
YES