8.76/3.91	YES
10.73/4.48	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.73/4.48	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.73/4.48	
10.73/4.48	
10.73/4.48	H-Termination with start terms of the given HASKELL could be proven:
10.73/4.48	
10.73/4.48	(0) HASKELL
10.73/4.48	(1) BR [EQUIVALENT, 0 ms]
10.73/4.48	(2) HASKELL
10.73/4.48	(3) COR [EQUIVALENT, 0 ms]
10.73/4.48	(4) HASKELL
10.73/4.48	(5) Narrow [SOUND, 0 ms]
10.73/4.48	(6) AND
10.73/4.48	    (7) QDP
10.73/4.48	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.73/4.48	        (9) YES
10.73/4.48	    (10) QDP
10.73/4.48	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.73/4.48	        (12) YES
10.73/4.48	    (13) QDP
10.73/4.48	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.73/4.48	        (15) YES
10.73/4.48	
10.73/4.48	
10.73/4.48	----------------------------------------
10.73/4.48	
10.73/4.48	(0)
10.73/4.48	Obligation:
10.73/4.48	mainModule Main 
10.73/4.48	module Main where {
10.73/4.48	import qualified Prelude;
10.73/4.48	data List a = Cons a (List a)  | Nil ;
10.73/4.48	
10.73/4.48	data MyBool = MyTrue  | MyFalse ;
10.73/4.48	
10.73/4.48	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.73/4.48	
10.73/4.48	data Main.Nat = Succ Main.Nat  | Zero ;
10.73/4.48	
10.73/4.48	data Ordering = LT  | EQ  | GT ;
10.73/4.48	
10.73/4.48	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.73/4.48	compareMyInt = primCmpInt;
10.73/4.48	
10.73/4.48	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.73/4.48	esEsOrdering LT LT = MyTrue;
10.73/4.48	esEsOrdering LT EQ = MyFalse;
10.73/4.48	esEsOrdering LT GT = MyFalse;
10.73/4.48	esEsOrdering EQ LT = MyFalse;
10.73/4.48	esEsOrdering EQ EQ = MyTrue;
10.73/4.48	esEsOrdering EQ GT = MyFalse;
10.73/4.48	esEsOrdering GT LT = MyFalse;
10.73/4.48	esEsOrdering GT EQ = MyFalse;
10.73/4.48	esEsOrdering GT GT = MyTrue;
10.73/4.48	
10.73/4.48	foldl :: (b  ->  a  ->  b)  ->  b  ->  List a  ->  b;
10.73/4.48	foldl f z Nil = z;
10.73/4.48	foldl f z (Cons x xs) = foldl f (f z x) xs;
10.73/4.48	
10.73/4.48	foldl1 :: (a  ->  a  ->  a)  ->  List a  ->  a;
10.73/4.48	foldl1 f (Cons x xs) = foldl f x xs;
10.73/4.48	
10.73/4.48	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.73/4.48	fsEsOrdering x y = not (esEsOrdering x y);
10.73/4.48	
10.73/4.48	ltEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.73/4.48	ltEsMyInt x y = fsEsOrdering (compareMyInt x y) GT;
10.73/4.48	
10.73/4.48	max0 x y MyTrue = x;
10.73/4.48	
10.73/4.48	max1 x y MyTrue = y;
10.73/4.48	max1 x y MyFalse = max0 x y otherwise;
10.73/4.48	
10.73/4.48	max2 x y = max1 x y (ltEsMyInt x y);
10.73/4.48	
10.73/4.48	maxMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.73/4.48	maxMyInt x y = max2 x y;
10.73/4.48	
10.73/4.48	maximumMyInt :: List MyInt  ->  MyInt;
10.73/4.48	maximumMyInt = foldl1 maxMyInt;
10.73/4.48	
10.73/4.48	not :: MyBool  ->  MyBool;
10.73/4.48	not MyTrue = MyFalse;
10.73/4.48	not MyFalse = MyTrue;
10.73/4.48	
10.73/4.48	otherwise :: MyBool;
10.73/4.48	otherwise = MyTrue;
10.73/4.48	
10.73/4.48	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.73/4.48	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.73/4.48	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.73/4.48	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.73/4.48	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.73/4.48	
10.73/4.48	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.73/4.48	primCmpNat Main.Zero Main.Zero = EQ;
10.73/4.48	primCmpNat Main.Zero (Main.Succ y) = LT;
10.73/4.48	primCmpNat (Main.Succ x) Main.Zero = GT;
10.73/4.48	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.73/4.48	
10.73/4.48	}
10.73/4.48	
10.73/4.48	----------------------------------------
10.73/4.48	
10.73/4.48	(1) BR (EQUIVALENT)
10.73/4.48	Replaced joker patterns by fresh variables and removed binding patterns.
10.73/4.48	----------------------------------------
10.73/4.48	
10.73/4.48	(2)
10.73/4.48	Obligation:
10.73/4.48	mainModule Main 
10.73/4.48	module Main where {
10.73/4.48	import qualified Prelude;
10.73/4.48	data List a = Cons a (List a)  | Nil ;
10.73/4.48	
10.73/4.48	data MyBool = MyTrue  | MyFalse ;
10.73/4.48	
10.73/4.48	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.73/4.48	
10.73/4.48	data Main.Nat = Succ Main.Nat  | Zero ;
10.73/4.48	
10.73/4.48	data Ordering = LT  | EQ  | GT ;
10.73/4.48	
10.73/4.48	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.73/4.48	compareMyInt = primCmpInt;
10.73/4.48	
10.73/4.48	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.73/4.48	esEsOrdering LT LT = MyTrue;
10.73/4.48	esEsOrdering LT EQ = MyFalse;
10.73/4.48	esEsOrdering LT GT = MyFalse;
10.73/4.48	esEsOrdering EQ LT = MyFalse;
10.73/4.48	esEsOrdering EQ EQ = MyTrue;
10.73/4.48	esEsOrdering EQ GT = MyFalse;
10.73/4.48	esEsOrdering GT LT = MyFalse;
10.73/4.48	esEsOrdering GT EQ = MyFalse;
10.73/4.48	esEsOrdering GT GT = MyTrue;
10.73/4.48	
10.73/4.48	foldl :: (a  ->  b  ->  a)  ->  a  ->  List b  ->  a;
10.73/4.48	foldl f z Nil = z;
10.73/4.48	foldl f z (Cons x xs) = foldl f (f z x) xs;
10.73/4.48	
10.73/4.48	foldl1 :: (a  ->  a  ->  a)  ->  List a  ->  a;
10.73/4.48	foldl1 f (Cons x xs) = foldl f x xs;
10.73/4.48	
10.73/4.48	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.73/4.48	fsEsOrdering x y = not (esEsOrdering x y);
10.73/4.48	
10.73/4.48	ltEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.73/4.48	ltEsMyInt x y = fsEsOrdering (compareMyInt x y) GT;
10.73/4.48	
10.73/4.48	max0 x y MyTrue = x;
10.73/4.48	
10.73/4.48	max1 x y MyTrue = y;
10.73/4.48	max1 x y MyFalse = max0 x y otherwise;
10.73/4.48	
10.73/4.48	max2 x y = max1 x y (ltEsMyInt x y);
10.73/4.48	
10.73/4.48	maxMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.73/4.48	maxMyInt x y = max2 x y;
10.73/4.48	
10.73/4.48	maximumMyInt :: List MyInt  ->  MyInt;
10.73/4.48	maximumMyInt = foldl1 maxMyInt;
10.73/4.48	
10.73/4.48	not :: MyBool  ->  MyBool;
10.73/4.48	not MyTrue = MyFalse;
10.73/4.48	not MyFalse = MyTrue;
10.73/4.48	
10.73/4.48	otherwise :: MyBool;
10.73/4.48	otherwise = MyTrue;
10.73/4.48	
10.73/4.48	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.73/4.48	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.73/4.48	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.73/4.48	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.73/4.48	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.73/4.48	
10.73/4.48	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.73/4.48	primCmpNat Main.Zero Main.Zero = EQ;
10.73/4.48	primCmpNat Main.Zero (Main.Succ y) = LT;
10.73/4.48	primCmpNat (Main.Succ x) Main.Zero = GT;
10.73/4.48	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.73/4.48	
10.73/4.48	}
10.73/4.48	
10.73/4.48	----------------------------------------
10.73/4.48	
10.73/4.48	(3) COR (EQUIVALENT)
10.73/4.48	Cond Reductions:
10.73/4.48	The following Function with conditions
10.73/4.48	"undefined |Falseundefined;
10.73/4.48	"
10.73/4.48	is transformed to
10.73/4.48	"undefined  = undefined1;
10.73/4.48	"
10.73/4.48	"undefined0 True = undefined;
10.73/4.48	"
10.73/4.48	"undefined1  = undefined0 False;
10.73/4.48	"
10.73/4.48	
10.73/4.48	----------------------------------------
10.73/4.48	
10.73/4.48	(4)
10.73/4.48	Obligation:
10.73/4.48	mainModule Main 
10.73/4.48	module Main where {
10.73/4.48	import qualified Prelude;
10.73/4.48	data List a = Cons a (List a)  | Nil ;
10.73/4.48	
10.73/4.48	data MyBool = MyTrue  | MyFalse ;
10.73/4.48	
10.73/4.48	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.73/4.48	
10.73/4.48	data Main.Nat = Succ Main.Nat  | Zero ;
10.73/4.48	
10.73/4.48	data Ordering = LT  | EQ  | GT ;
10.73/4.48	
10.73/4.48	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.73/4.48	compareMyInt = primCmpInt;
10.73/4.48	
10.73/4.48	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.73/4.48	esEsOrdering LT LT = MyTrue;
10.73/4.48	esEsOrdering LT EQ = MyFalse;
10.73/4.48	esEsOrdering LT GT = MyFalse;
10.73/4.48	esEsOrdering EQ LT = MyFalse;
10.73/4.48	esEsOrdering EQ EQ = MyTrue;
10.73/4.48	esEsOrdering EQ GT = MyFalse;
10.73/4.48	esEsOrdering GT LT = MyFalse;
10.73/4.48	esEsOrdering GT EQ = MyFalse;
10.73/4.48	esEsOrdering GT GT = MyTrue;
10.73/4.48	
10.73/4.48	foldl :: (a  ->  b  ->  a)  ->  a  ->  List b  ->  a;
10.73/4.48	foldl f z Nil = z;
10.73/4.48	foldl f z (Cons x xs) = foldl f (f z x) xs;
10.73/4.48	
10.73/4.48	foldl1 :: (a  ->  a  ->  a)  ->  List a  ->  a;
10.73/4.48	foldl1 f (Cons x xs) = foldl f x xs;
10.73/4.48	
10.73/4.48	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.73/4.48	fsEsOrdering x y = not (esEsOrdering x y);
10.73/4.48	
10.73/4.48	ltEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.73/4.48	ltEsMyInt x y = fsEsOrdering (compareMyInt x y) GT;
10.73/4.48	
10.73/4.48	max0 x y MyTrue = x;
10.73/4.48	
10.73/4.48	max1 x y MyTrue = y;
10.73/4.48	max1 x y MyFalse = max0 x y otherwise;
10.73/4.48	
10.73/4.48	max2 x y = max1 x y (ltEsMyInt x y);
10.73/4.48	
10.73/4.48	maxMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.73/4.48	maxMyInt x y = max2 x y;
10.73/4.48	
10.73/4.48	maximumMyInt :: List MyInt  ->  MyInt;
10.73/4.48	maximumMyInt = foldl1 maxMyInt;
10.73/4.48	
10.73/4.48	not :: MyBool  ->  MyBool;
10.73/4.48	not MyTrue = MyFalse;
10.73/4.48	not MyFalse = MyTrue;
10.73/4.48	
10.73/4.48	otherwise :: MyBool;
10.73/4.48	otherwise = MyTrue;
10.73/4.48	
10.73/4.48	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.73/4.48	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.73/4.48	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.73/4.49	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.73/4.49	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.73/4.49	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.73/4.49	
10.73/4.49	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.73/4.49	primCmpNat Main.Zero Main.Zero = EQ;
10.73/4.49	primCmpNat Main.Zero (Main.Succ y) = LT;
10.73/4.49	primCmpNat (Main.Succ x) Main.Zero = GT;
10.73/4.49	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.73/4.49	
10.73/4.49	}
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(5) Narrow (SOUND)
10.73/4.49	Haskell To QDPs
10.73/4.49	
10.73/4.49	digraph dp_graph {
10.73/4.49	node [outthreshold=100, inthreshold=100];1[label="maximumMyInt",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.73/4.49	3[label="maximumMyInt vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
10.73/4.49	4[label="foldl1 maxMyInt vx3",fontsize=16,color="burlywood",shape="box"];601[label="vx3/Cons vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];4 -> 601[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	601 -> 5[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	602[label="vx3/Nil",fontsize=10,color="white",style="solid",shape="box"];4 -> 602[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	602 -> 6[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	5[label="foldl1 maxMyInt (Cons vx30 vx31)",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
10.73/4.49	6[label="foldl1 maxMyInt Nil",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
10.73/4.49	7[label="foldl maxMyInt vx30 vx31",fontsize=16,color="burlywood",shape="triangle"];603[label="vx31/Cons vx310 vx311",fontsize=10,color="white",style="solid",shape="box"];7 -> 603[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	603 -> 9[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	604[label="vx31/Nil",fontsize=10,color="white",style="solid",shape="box"];7 -> 604[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	604 -> 10[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	8[label="error []",fontsize=16,color="red",shape="box"];9[label="foldl maxMyInt vx30 (Cons vx310 vx311)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10.73/4.49	10[label="foldl maxMyInt vx30 Nil",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
10.73/4.49	11 -> 7[label="",style="dashed", color="red", weight=0];
10.73/4.49	11[label="foldl maxMyInt (maxMyInt vx30 vx310) vx311",fontsize=16,color="magenta"];11 -> 13[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	11 -> 14[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	12[label="vx30",fontsize=16,color="green",shape="box"];13[label="vx311",fontsize=16,color="green",shape="box"];14[label="maxMyInt vx30 vx310",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3];
10.73/4.49	15[label="max2 vx30 vx310",fontsize=16,color="black",shape="box"];15 -> 16[label="",style="solid", color="black", weight=3];
10.73/4.49	16[label="max1 vx30 vx310 (ltEsMyInt vx30 vx310)",fontsize=16,color="black",shape="box"];16 -> 17[label="",style="solid", color="black", weight=3];
10.73/4.49	17[label="max1 vx30 vx310 (fsEsOrdering (compareMyInt vx30 vx310) GT)",fontsize=16,color="black",shape="box"];17 -> 18[label="",style="solid", color="black", weight=3];
10.73/4.49	18[label="max1 vx30 vx310 (not (esEsOrdering (compareMyInt vx30 vx310) GT))",fontsize=16,color="black",shape="box"];18 -> 19[label="",style="solid", color="black", weight=3];
10.73/4.49	19[label="max1 vx30 vx310 (not (esEsOrdering (primCmpInt vx30 vx310) GT))",fontsize=16,color="burlywood",shape="box"];605[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];19 -> 605[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	605 -> 20[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	606[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];19 -> 606[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	606 -> 21[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	20[label="max1 (Pos vx300) vx310 (not (esEsOrdering (primCmpInt (Pos vx300) vx310) GT))",fontsize=16,color="burlywood",shape="box"];607[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];20 -> 607[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	607 -> 22[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	608[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];20 -> 608[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	608 -> 23[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	21[label="max1 (Neg vx300) vx310 (not (esEsOrdering (primCmpInt (Neg vx300) vx310) GT))",fontsize=16,color="burlywood",shape="box"];609[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];21 -> 609[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	609 -> 24[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	610[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];21 -> 610[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	610 -> 25[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	22[label="max1 (Pos (Succ vx3000)) vx310 (not (esEsOrdering (primCmpInt (Pos (Succ vx3000)) vx310) GT))",fontsize=16,color="burlywood",shape="box"];611[label="vx310/Pos vx3100",fontsize=10,color="white",style="solid",shape="box"];22 -> 611[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	611 -> 26[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	612[label="vx310/Neg vx3100",fontsize=10,color="white",style="solid",shape="box"];22 -> 612[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	612 -> 27[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	23[label="max1 (Pos Zero) vx310 (not (esEsOrdering (primCmpInt (Pos Zero) vx310) GT))",fontsize=16,color="burlywood",shape="box"];613[label="vx310/Pos vx3100",fontsize=10,color="white",style="solid",shape="box"];23 -> 613[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	613 -> 28[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	614[label="vx310/Neg vx3100",fontsize=10,color="white",style="solid",shape="box"];23 -> 614[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	614 -> 29[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	24[label="max1 (Neg (Succ vx3000)) vx310 (not (esEsOrdering (primCmpInt (Neg (Succ vx3000)) vx310) GT))",fontsize=16,color="burlywood",shape="box"];615[label="vx310/Pos vx3100",fontsize=10,color="white",style="solid",shape="box"];24 -> 615[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	615 -> 30[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	616[label="vx310/Neg vx3100",fontsize=10,color="white",style="solid",shape="box"];24 -> 616[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	616 -> 31[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	25[label="max1 (Neg Zero) vx310 (not (esEsOrdering (primCmpInt (Neg Zero) vx310) GT))",fontsize=16,color="burlywood",shape="box"];617[label="vx310/Pos vx3100",fontsize=10,color="white",style="solid",shape="box"];25 -> 617[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	617 -> 32[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	618[label="vx310/Neg vx3100",fontsize=10,color="white",style="solid",shape="box"];25 -> 618[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	618 -> 33[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	26[label="max1 (Pos (Succ vx3000)) (Pos vx3100) (not (esEsOrdering (primCmpInt (Pos (Succ vx3000)) (Pos vx3100)) GT))",fontsize=16,color="black",shape="box"];26 -> 34[label="",style="solid", color="black", weight=3];
10.73/4.49	27[label="max1 (Pos (Succ vx3000)) (Neg vx3100) (not (esEsOrdering (primCmpInt (Pos (Succ vx3000)) (Neg vx3100)) GT))",fontsize=16,color="black",shape="box"];27 -> 35[label="",style="solid", color="black", weight=3];
10.73/4.49	28[label="max1 (Pos Zero) (Pos vx3100) (not (esEsOrdering (primCmpInt (Pos Zero) (Pos vx3100)) GT))",fontsize=16,color="burlywood",shape="box"];619[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];28 -> 619[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	619 -> 36[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	620[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];28 -> 620[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	620 -> 37[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	29[label="max1 (Pos Zero) (Neg vx3100) (not (esEsOrdering (primCmpInt (Pos Zero) (Neg vx3100)) GT))",fontsize=16,color="burlywood",shape="box"];621[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];29 -> 621[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	621 -> 38[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	622[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];29 -> 622[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	622 -> 39[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	30[label="max1 (Neg (Succ vx3000)) (Pos vx3100) (not (esEsOrdering (primCmpInt (Neg (Succ vx3000)) (Pos vx3100)) GT))",fontsize=16,color="black",shape="box"];30 -> 40[label="",style="solid", color="black", weight=3];
10.73/4.49	31[label="max1 (Neg (Succ vx3000)) (Neg vx3100) (not (esEsOrdering (primCmpInt (Neg (Succ vx3000)) (Neg vx3100)) GT))",fontsize=16,color="black",shape="box"];31 -> 41[label="",style="solid", color="black", weight=3];
10.73/4.49	32[label="max1 (Neg Zero) (Pos vx3100) (not (esEsOrdering (primCmpInt (Neg Zero) (Pos vx3100)) GT))",fontsize=16,color="burlywood",shape="box"];623[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];32 -> 623[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	623 -> 42[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	624[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];32 -> 624[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	624 -> 43[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	33[label="max1 (Neg Zero) (Neg vx3100) (not (esEsOrdering (primCmpInt (Neg Zero) (Neg vx3100)) GT))",fontsize=16,color="burlywood",shape="box"];625[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];33 -> 625[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	625 -> 44[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	626[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];33 -> 626[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	626 -> 45[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	34[label="max1 (Pos (Succ vx3000)) (Pos vx3100) (not (esEsOrdering (primCmpNat (Succ vx3000) vx3100) GT))",fontsize=16,color="burlywood",shape="box"];627[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];34 -> 627[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	627 -> 46[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	628[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];34 -> 628[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	628 -> 47[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	35[label="max1 (Pos (Succ vx3000)) (Neg vx3100) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];35 -> 48[label="",style="solid", color="black", weight=3];
10.73/4.49	36[label="max1 (Pos Zero) (Pos (Succ vx31000)) (not (esEsOrdering (primCmpInt (Pos Zero) (Pos (Succ vx31000))) GT))",fontsize=16,color="black",shape="box"];36 -> 49[label="",style="solid", color="black", weight=3];
10.73/4.49	37[label="max1 (Pos Zero) (Pos Zero) (not (esEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) GT))",fontsize=16,color="black",shape="box"];37 -> 50[label="",style="solid", color="black", weight=3];
10.73/4.49	38[label="max1 (Pos Zero) (Neg (Succ vx31000)) (not (esEsOrdering (primCmpInt (Pos Zero) (Neg (Succ vx31000))) GT))",fontsize=16,color="black",shape="box"];38 -> 51[label="",style="solid", color="black", weight=3];
10.73/4.49	39[label="max1 (Pos Zero) (Neg Zero) (not (esEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) GT))",fontsize=16,color="black",shape="box"];39 -> 52[label="",style="solid", color="black", weight=3];
10.73/4.49	40[label="max1 (Neg (Succ vx3000)) (Pos vx3100) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];40 -> 53[label="",style="solid", color="black", weight=3];
10.73/4.49	41[label="max1 (Neg (Succ vx3000)) (Neg vx3100) (not (esEsOrdering (primCmpNat vx3100 (Succ vx3000)) GT))",fontsize=16,color="burlywood",shape="box"];629[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];41 -> 629[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	629 -> 54[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	630[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];41 -> 630[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	630 -> 55[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	42[label="max1 (Neg Zero) (Pos (Succ vx31000)) (not (esEsOrdering (primCmpInt (Neg Zero) (Pos (Succ vx31000))) GT))",fontsize=16,color="black",shape="box"];42 -> 56[label="",style="solid", color="black", weight=3];
10.73/4.49	43[label="max1 (Neg Zero) (Pos Zero) (not (esEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) GT))",fontsize=16,color="black",shape="box"];43 -> 57[label="",style="solid", color="black", weight=3];
10.73/4.49	44[label="max1 (Neg Zero) (Neg (Succ vx31000)) (not (esEsOrdering (primCmpInt (Neg Zero) (Neg (Succ vx31000))) GT))",fontsize=16,color="black",shape="box"];44 -> 58[label="",style="solid", color="black", weight=3];
10.73/4.49	45[label="max1 (Neg Zero) (Neg Zero) (not (esEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) GT))",fontsize=16,color="black",shape="box"];45 -> 59[label="",style="solid", color="black", weight=3];
10.73/4.49	46[label="max1 (Pos (Succ vx3000)) (Pos (Succ vx31000)) (not (esEsOrdering (primCmpNat (Succ vx3000) (Succ vx31000)) GT))",fontsize=16,color="black",shape="box"];46 -> 60[label="",style="solid", color="black", weight=3];
10.73/4.49	47[label="max1 (Pos (Succ vx3000)) (Pos Zero) (not (esEsOrdering (primCmpNat (Succ vx3000) Zero) GT))",fontsize=16,color="black",shape="box"];47 -> 61[label="",style="solid", color="black", weight=3];
10.73/4.49	48[label="max1 (Pos (Succ vx3000)) (Neg vx3100) (not MyTrue)",fontsize=16,color="black",shape="box"];48 -> 62[label="",style="solid", color="black", weight=3];
10.73/4.49	49[label="max1 (Pos Zero) (Pos (Succ vx31000)) (not (esEsOrdering (primCmpNat Zero (Succ vx31000)) GT))",fontsize=16,color="black",shape="box"];49 -> 63[label="",style="solid", color="black", weight=3];
10.73/4.49	50[label="max1 (Pos Zero) (Pos Zero) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];50 -> 64[label="",style="solid", color="black", weight=3];
10.73/4.49	51[label="max1 (Pos Zero) (Neg (Succ vx31000)) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];51 -> 65[label="",style="solid", color="black", weight=3];
10.73/4.49	52[label="max1 (Pos Zero) (Neg Zero) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];52 -> 66[label="",style="solid", color="black", weight=3];
10.73/4.49	53[label="max1 (Neg (Succ vx3000)) (Pos vx3100) (not MyFalse)",fontsize=16,color="black",shape="box"];53 -> 67[label="",style="solid", color="black", weight=3];
10.73/4.49	54[label="max1 (Neg (Succ vx3000)) (Neg (Succ vx31000)) (not (esEsOrdering (primCmpNat (Succ vx31000) (Succ vx3000)) GT))",fontsize=16,color="black",shape="box"];54 -> 68[label="",style="solid", color="black", weight=3];
10.73/4.49	55[label="max1 (Neg (Succ vx3000)) (Neg Zero) (not (esEsOrdering (primCmpNat Zero (Succ vx3000)) GT))",fontsize=16,color="black",shape="box"];55 -> 69[label="",style="solid", color="black", weight=3];
10.73/4.49	56[label="max1 (Neg Zero) (Pos (Succ vx31000)) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];56 -> 70[label="",style="solid", color="black", weight=3];
10.73/4.49	57[label="max1 (Neg Zero) (Pos Zero) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];57 -> 71[label="",style="solid", color="black", weight=3];
10.73/4.49	58[label="max1 (Neg Zero) (Neg (Succ vx31000)) (not (esEsOrdering (primCmpNat (Succ vx31000) Zero) GT))",fontsize=16,color="black",shape="box"];58 -> 72[label="",style="solid", color="black", weight=3];
10.73/4.49	59[label="max1 (Neg Zero) (Neg Zero) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];59 -> 73[label="",style="solid", color="black", weight=3];
10.73/4.49	60 -> 463[label="",style="dashed", color="red", weight=0];
10.73/4.49	60[label="max1 (Pos (Succ vx3000)) (Pos (Succ vx31000)) (not (esEsOrdering (primCmpNat vx3000 vx31000) GT))",fontsize=16,color="magenta"];60 -> 464[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	60 -> 465[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	60 -> 466[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	60 -> 467[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	61[label="max1 (Pos (Succ vx3000)) (Pos Zero) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];61 -> 76[label="",style="solid", color="black", weight=3];
10.73/4.49	62[label="max1 (Pos (Succ vx3000)) (Neg vx3100) MyFalse",fontsize=16,color="black",shape="box"];62 -> 77[label="",style="solid", color="black", weight=3];
10.73/4.49	63[label="max1 (Pos Zero) (Pos (Succ vx31000)) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];63 -> 78[label="",style="solid", color="black", weight=3];
10.73/4.49	64[label="max1 (Pos Zero) (Pos Zero) (not MyFalse)",fontsize=16,color="black",shape="box"];64 -> 79[label="",style="solid", color="black", weight=3];
10.73/4.49	65[label="max1 (Pos Zero) (Neg (Succ vx31000)) (not MyTrue)",fontsize=16,color="black",shape="box"];65 -> 80[label="",style="solid", color="black", weight=3];
10.73/4.49	66[label="max1 (Pos Zero) (Neg Zero) (not MyFalse)",fontsize=16,color="black",shape="box"];66 -> 81[label="",style="solid", color="black", weight=3];
10.73/4.49	67[label="max1 (Neg (Succ vx3000)) (Pos vx3100) MyTrue",fontsize=16,color="black",shape="box"];67 -> 82[label="",style="solid", color="black", weight=3];
10.73/4.49	68 -> 533[label="",style="dashed", color="red", weight=0];
10.73/4.49	68[label="max1 (Neg (Succ vx3000)) (Neg (Succ vx31000)) (not (esEsOrdering (primCmpNat vx31000 vx3000) GT))",fontsize=16,color="magenta"];68 -> 534[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	68 -> 535[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	68 -> 536[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	68 -> 537[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	69[label="max1 (Neg (Succ vx3000)) (Neg Zero) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];69 -> 85[label="",style="solid", color="black", weight=3];
10.73/4.49	70[label="max1 (Neg Zero) (Pos (Succ vx31000)) (not MyFalse)",fontsize=16,color="black",shape="box"];70 -> 86[label="",style="solid", color="black", weight=3];
10.73/4.49	71[label="max1 (Neg Zero) (Pos Zero) (not MyFalse)",fontsize=16,color="black",shape="box"];71 -> 87[label="",style="solid", color="black", weight=3];
10.73/4.49	72[label="max1 (Neg Zero) (Neg (Succ vx31000)) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];72 -> 88[label="",style="solid", color="black", weight=3];
10.73/4.49	73[label="max1 (Neg Zero) (Neg Zero) (not MyFalse)",fontsize=16,color="black",shape="box"];73 -> 89[label="",style="solid", color="black", weight=3];
10.73/4.49	464[label="vx3000",fontsize=16,color="green",shape="box"];465[label="vx31000",fontsize=16,color="green",shape="box"];466[label="vx31000",fontsize=16,color="green",shape="box"];467[label="vx3000",fontsize=16,color="green",shape="box"];463[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat vx42 vx43) GT))",fontsize=16,color="burlywood",shape="triangle"];631[label="vx42/Succ vx420",fontsize=10,color="white",style="solid",shape="box"];463 -> 631[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	631 -> 500[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	632[label="vx42/Zero",fontsize=10,color="white",style="solid",shape="box"];463 -> 632[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	632 -> 501[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	76[label="max1 (Pos (Succ vx3000)) (Pos Zero) (not MyTrue)",fontsize=16,color="black",shape="box"];76 -> 94[label="",style="solid", color="black", weight=3];
10.73/4.49	77[label="max0 (Pos (Succ vx3000)) (Neg vx3100) otherwise",fontsize=16,color="black",shape="box"];77 -> 95[label="",style="solid", color="black", weight=3];
10.73/4.49	78[label="max1 (Pos Zero) (Pos (Succ vx31000)) (not MyFalse)",fontsize=16,color="black",shape="box"];78 -> 96[label="",style="solid", color="black", weight=3];
10.73/4.49	79[label="max1 (Pos Zero) (Pos Zero) MyTrue",fontsize=16,color="black",shape="box"];79 -> 97[label="",style="solid", color="black", weight=3];
10.73/4.49	80[label="max1 (Pos Zero) (Neg (Succ vx31000)) MyFalse",fontsize=16,color="black",shape="box"];80 -> 98[label="",style="solid", color="black", weight=3];
10.73/4.49	81[label="max1 (Pos Zero) (Neg Zero) MyTrue",fontsize=16,color="black",shape="box"];81 -> 99[label="",style="solid", color="black", weight=3];
10.73/4.49	82[label="Pos vx3100",fontsize=16,color="green",shape="box"];534[label="vx31000",fontsize=16,color="green",shape="box"];535[label="vx3000",fontsize=16,color="green",shape="box"];536[label="vx31000",fontsize=16,color="green",shape="box"];537[label="vx3000",fontsize=16,color="green",shape="box"];533[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat vx51 vx52) GT))",fontsize=16,color="burlywood",shape="triangle"];633[label="vx51/Succ vx510",fontsize=10,color="white",style="solid",shape="box"];533 -> 633[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	633 -> 574[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	634[label="vx51/Zero",fontsize=10,color="white",style="solid",shape="box"];533 -> 634[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	634 -> 575[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	85[label="max1 (Neg (Succ vx3000)) (Neg Zero) (not MyFalse)",fontsize=16,color="black",shape="box"];85 -> 104[label="",style="solid", color="black", weight=3];
10.73/4.49	86[label="max1 (Neg Zero) (Pos (Succ vx31000)) MyTrue",fontsize=16,color="black",shape="box"];86 -> 105[label="",style="solid", color="black", weight=3];
10.73/4.49	87[label="max1 (Neg Zero) (Pos Zero) MyTrue",fontsize=16,color="black",shape="box"];87 -> 106[label="",style="solid", color="black", weight=3];
10.73/4.49	88[label="max1 (Neg Zero) (Neg (Succ vx31000)) (not MyTrue)",fontsize=16,color="black",shape="box"];88 -> 107[label="",style="solid", color="black", weight=3];
10.73/4.49	89[label="max1 (Neg Zero) (Neg Zero) MyTrue",fontsize=16,color="black",shape="box"];89 -> 108[label="",style="solid", color="black", weight=3];
10.73/4.49	500[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat (Succ vx420) vx43) GT))",fontsize=16,color="burlywood",shape="box"];635[label="vx43/Succ vx430",fontsize=10,color="white",style="solid",shape="box"];500 -> 635[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	635 -> 506[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	636[label="vx43/Zero",fontsize=10,color="white",style="solid",shape="box"];500 -> 636[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	636 -> 507[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	501[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat Zero vx43) GT))",fontsize=16,color="burlywood",shape="box"];637[label="vx43/Succ vx430",fontsize=10,color="white",style="solid",shape="box"];501 -> 637[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	637 -> 508[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	638[label="vx43/Zero",fontsize=10,color="white",style="solid",shape="box"];501 -> 638[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	638 -> 509[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	94[label="max1 (Pos (Succ vx3000)) (Pos Zero) MyFalse",fontsize=16,color="black",shape="box"];94 -> 113[label="",style="solid", color="black", weight=3];
10.73/4.49	95[label="max0 (Pos (Succ vx3000)) (Neg vx3100) MyTrue",fontsize=16,color="black",shape="box"];95 -> 114[label="",style="solid", color="black", weight=3];
10.73/4.49	96[label="max1 (Pos Zero) (Pos (Succ vx31000)) MyTrue",fontsize=16,color="black",shape="box"];96 -> 115[label="",style="solid", color="black", weight=3];
10.73/4.49	97[label="Pos Zero",fontsize=16,color="green",shape="box"];98[label="max0 (Pos Zero) (Neg (Succ vx31000)) otherwise",fontsize=16,color="black",shape="box"];98 -> 116[label="",style="solid", color="black", weight=3];
10.73/4.49	99[label="Neg Zero",fontsize=16,color="green",shape="box"];574[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat (Succ vx510) vx52) GT))",fontsize=16,color="burlywood",shape="box"];639[label="vx52/Succ vx520",fontsize=10,color="white",style="solid",shape="box"];574 -> 639[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	639 -> 578[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	640[label="vx52/Zero",fontsize=10,color="white",style="solid",shape="box"];574 -> 640[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	640 -> 579[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	575[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat Zero vx52) GT))",fontsize=16,color="burlywood",shape="box"];641[label="vx52/Succ vx520",fontsize=10,color="white",style="solid",shape="box"];575 -> 641[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	641 -> 580[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	642[label="vx52/Zero",fontsize=10,color="white",style="solid",shape="box"];575 -> 642[label="",style="solid", color="burlywood", weight=9];
10.73/4.49	642 -> 581[label="",style="solid", color="burlywood", weight=3];
10.73/4.49	104[label="max1 (Neg (Succ vx3000)) (Neg Zero) MyTrue",fontsize=16,color="black",shape="box"];104 -> 121[label="",style="solid", color="black", weight=3];
10.73/4.49	105[label="Pos (Succ vx31000)",fontsize=16,color="green",shape="box"];106[label="Pos Zero",fontsize=16,color="green",shape="box"];107[label="max1 (Neg Zero) (Neg (Succ vx31000)) MyFalse",fontsize=16,color="black",shape="box"];107 -> 122[label="",style="solid", color="black", weight=3];
10.73/4.49	108[label="Neg Zero",fontsize=16,color="green",shape="box"];506[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat (Succ vx420) (Succ vx430)) GT))",fontsize=16,color="black",shape="box"];506 -> 514[label="",style="solid", color="black", weight=3];
10.73/4.49	507[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat (Succ vx420) Zero) GT))",fontsize=16,color="black",shape="box"];507 -> 515[label="",style="solid", color="black", weight=3];
10.73/4.49	508[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat Zero (Succ vx430)) GT))",fontsize=16,color="black",shape="box"];508 -> 516[label="",style="solid", color="black", weight=3];
10.73/4.49	509[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat Zero Zero) GT))",fontsize=16,color="black",shape="box"];509 -> 517[label="",style="solid", color="black", weight=3];
10.73/4.49	113[label="max0 (Pos (Succ vx3000)) (Pos Zero) otherwise",fontsize=16,color="black",shape="box"];113 -> 128[label="",style="solid", color="black", weight=3];
10.73/4.49	114[label="Pos (Succ vx3000)",fontsize=16,color="green",shape="box"];115[label="Pos (Succ vx31000)",fontsize=16,color="green",shape="box"];116[label="max0 (Pos Zero) (Neg (Succ vx31000)) MyTrue",fontsize=16,color="black",shape="box"];116 -> 129[label="",style="solid", color="black", weight=3];
10.73/4.49	578[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat (Succ vx510) (Succ vx520)) GT))",fontsize=16,color="black",shape="box"];578 -> 584[label="",style="solid", color="black", weight=3];
10.73/4.49	579[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat (Succ vx510) Zero) GT))",fontsize=16,color="black",shape="box"];579 -> 585[label="",style="solid", color="black", weight=3];
10.73/4.49	580[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat Zero (Succ vx520)) GT))",fontsize=16,color="black",shape="box"];580 -> 586[label="",style="solid", color="black", weight=3];
10.73/4.49	581[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat Zero Zero) GT))",fontsize=16,color="black",shape="box"];581 -> 587[label="",style="solid", color="black", weight=3];
10.73/4.49	121[label="Neg Zero",fontsize=16,color="green",shape="box"];122[label="max0 (Neg Zero) (Neg (Succ vx31000)) otherwise",fontsize=16,color="black",shape="box"];122 -> 135[label="",style="solid", color="black", weight=3];
10.73/4.49	514 -> 463[label="",style="dashed", color="red", weight=0];
10.73/4.49	514[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering (primCmpNat vx420 vx430) GT))",fontsize=16,color="magenta"];514 -> 522[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	514 -> 523[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	515[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];515 -> 524[label="",style="solid", color="black", weight=3];
10.73/4.49	516[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];516 -> 525[label="",style="solid", color="black", weight=3];
10.73/4.49	517[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];517 -> 526[label="",style="solid", color="black", weight=3];
10.73/4.49	128[label="max0 (Pos (Succ vx3000)) (Pos Zero) MyTrue",fontsize=16,color="black",shape="box"];128 -> 143[label="",style="solid", color="black", weight=3];
10.73/4.49	129[label="Pos Zero",fontsize=16,color="green",shape="box"];584 -> 533[label="",style="dashed", color="red", weight=0];
10.73/4.49	584[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering (primCmpNat vx510 vx520) GT))",fontsize=16,color="magenta"];584 -> 589[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	584 -> 590[label="",style="dashed", color="magenta", weight=3];
10.73/4.49	585[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering GT GT))",fontsize=16,color="black",shape="box"];585 -> 591[label="",style="solid", color="black", weight=3];
10.73/4.49	586[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering LT GT))",fontsize=16,color="black",shape="box"];586 -> 592[label="",style="solid", color="black", weight=3];
10.73/4.49	587[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not (esEsOrdering EQ GT))",fontsize=16,color="black",shape="box"];587 -> 593[label="",style="solid", color="black", weight=3];
10.73/4.49	135[label="max0 (Neg Zero) (Neg (Succ vx31000)) MyTrue",fontsize=16,color="black",shape="box"];135 -> 151[label="",style="solid", color="black", weight=3];
10.73/4.49	522[label="vx420",fontsize=16,color="green",shape="box"];523[label="vx430",fontsize=16,color="green",shape="box"];524[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not MyTrue)",fontsize=16,color="black",shape="box"];524 -> 576[label="",style="solid", color="black", weight=3];
10.73/4.49	525[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not MyFalse)",fontsize=16,color="black",shape="triangle"];525 -> 577[label="",style="solid", color="black", weight=3];
10.73/4.49	526 -> 525[label="",style="dashed", color="red", weight=0];
10.73/4.49	526[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) (not MyFalse)",fontsize=16,color="magenta"];143[label="Pos (Succ vx3000)",fontsize=16,color="green",shape="box"];589[label="vx510",fontsize=16,color="green",shape="box"];590[label="vx520",fontsize=16,color="green",shape="box"];591[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not MyTrue)",fontsize=16,color="black",shape="box"];591 -> 595[label="",style="solid", color="black", weight=3];
10.73/4.49	592[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not MyFalse)",fontsize=16,color="black",shape="triangle"];592 -> 596[label="",style="solid", color="black", weight=3];
10.73/4.49	593 -> 592[label="",style="dashed", color="red", weight=0];
10.73/4.49	593[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) (not MyFalse)",fontsize=16,color="magenta"];151[label="Neg Zero",fontsize=16,color="green",shape="box"];576[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) MyFalse",fontsize=16,color="black",shape="box"];576 -> 582[label="",style="solid", color="black", weight=3];
10.73/4.49	577[label="max1 (Pos (Succ vx40)) (Pos (Succ vx41)) MyTrue",fontsize=16,color="black",shape="box"];577 -> 583[label="",style="solid", color="black", weight=3];
10.73/4.49	595[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) MyFalse",fontsize=16,color="black",shape="box"];595 -> 597[label="",style="solid", color="black", weight=3];
10.73/4.49	596[label="max1 (Neg (Succ vx49)) (Neg (Succ vx50)) MyTrue",fontsize=16,color="black",shape="box"];596 -> 598[label="",style="solid", color="black", weight=3];
10.73/4.49	582[label="max0 (Pos (Succ vx40)) (Pos (Succ vx41)) otherwise",fontsize=16,color="black",shape="box"];582 -> 588[label="",style="solid", color="black", weight=3];
10.73/4.49	583[label="Pos (Succ vx41)",fontsize=16,color="green",shape="box"];597[label="max0 (Neg (Succ vx49)) (Neg (Succ vx50)) otherwise",fontsize=16,color="black",shape="box"];597 -> 599[label="",style="solid", color="black", weight=3];
10.73/4.49	598[label="Neg (Succ vx50)",fontsize=16,color="green",shape="box"];588[label="max0 (Pos (Succ vx40)) (Pos (Succ vx41)) MyTrue",fontsize=16,color="black",shape="box"];588 -> 594[label="",style="solid", color="black", weight=3];
10.73/4.49	599[label="max0 (Neg (Succ vx49)) (Neg (Succ vx50)) MyTrue",fontsize=16,color="black",shape="box"];599 -> 600[label="",style="solid", color="black", weight=3];
10.73/4.49	594[label="Pos (Succ vx40)",fontsize=16,color="green",shape="box"];600[label="Neg (Succ vx49)",fontsize=16,color="green",shape="box"];}
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(6)
10.73/4.49	Complex Obligation (AND)
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(7)
10.73/4.49	Obligation:
10.73/4.49	Q DP problem:
10.73/4.49	The TRS P consists of the following rules:
10.73/4.49	
10.73/4.49	   new_max1(vx49, vx50, Main.Succ(vx510), Main.Succ(vx520)) -> new_max1(vx49, vx50, vx510, vx520)
10.73/4.49	
10.73/4.49	R is empty.
10.73/4.49	Q is empty.
10.73/4.49	We have to consider all minimal (P,Q,R)-chains.
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(8) QDPSizeChangeProof (EQUIVALENT)
10.73/4.49	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. 
10.73/4.49	
10.73/4.49	From the DPs we obtained the following set of size-change graphs:
10.73/4.49	*new_max1(vx49, vx50, Main.Succ(vx510), Main.Succ(vx520)) -> new_max1(vx49, vx50, vx510, vx520)
10.73/4.49	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
10.73/4.49	
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(9)
10.73/4.49	YES
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(10)
10.73/4.49	Obligation:
10.73/4.49	Q DP problem:
10.73/4.49	The TRS P consists of the following rules:
10.73/4.49	
10.73/4.49	   new_max10(vx40, vx41, Main.Succ(vx420), Main.Succ(vx430)) -> new_max10(vx40, vx41, vx420, vx430)
10.73/4.49	
10.73/4.49	R is empty.
10.73/4.49	Q is empty.
10.73/4.49	We have to consider all minimal (P,Q,R)-chains.
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(11) QDPSizeChangeProof (EQUIVALENT)
10.73/4.49	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. 
10.73/4.49	
10.73/4.49	From the DPs we obtained the following set of size-change graphs:
10.73/4.49	*new_max10(vx40, vx41, Main.Succ(vx420), Main.Succ(vx430)) -> new_max10(vx40, vx41, vx420, vx430)
10.73/4.49	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
10.73/4.49	
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(12)
10.73/4.49	YES
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(13)
10.73/4.49	Obligation:
10.73/4.49	Q DP problem:
10.73/4.49	The TRS P consists of the following rules:
10.73/4.49	
10.73/4.49	   new_foldl(vx30, Cons(vx310, vx311)) -> new_foldl(new_max11(vx30, vx310), vx311)
10.73/4.49	
10.73/4.49	The TRS R consists of the following rules:
10.73/4.49	
10.73/4.49	   new_max14(vx49, vx50, Main.Succ(vx510), Main.Succ(vx520)) -> new_max14(vx49, vx50, vx510, vx520)
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Neg(Main.Succ(vx31000))) -> Main.Pos(Main.Zero)
10.73/4.49	   new_max15(vx40, vx41, Main.Zero, Main.Zero) -> new_max12(vx40, vx41)
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Pos(Main.Succ(vx31000))) -> Main.Pos(Main.Succ(vx31000))
10.73/4.49	   new_max11(Main.Pos(Main.Succ(vx3000)), Main.Pos(Main.Succ(vx31000))) -> new_max15(vx3000, vx31000, vx3000, vx31000)
10.73/4.49	   new_max14(vx49, vx50, Main.Succ(vx510), Main.Zero) -> Main.Neg(Main.Succ(vx49))
10.73/4.49	   new_max11(Main.Neg(Main.Succ(vx3000)), Main.Neg(Main.Succ(vx31000))) -> new_max14(vx3000, vx31000, vx31000, vx3000)
10.73/4.49	   new_max11(Main.Pos(Main.Succ(vx3000)), Main.Neg(vx3100)) -> Main.Pos(Main.Succ(vx3000))
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Pos(Main.Zero)) -> Main.Pos(Main.Zero)
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Neg(Main.Zero)) -> Main.Neg(Main.Zero)
10.73/4.49	   new_max14(vx49, vx50, Main.Zero, Main.Succ(vx520)) -> new_max13(vx49, vx50)
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Neg(Main.Zero)) -> Main.Neg(Main.Zero)
10.73/4.49	   new_max15(vx40, vx41, Main.Succ(vx420), Main.Succ(vx430)) -> new_max15(vx40, vx41, vx420, vx430)
10.73/4.49	   new_max12(vx40, vx41) -> Main.Pos(Main.Succ(vx41))
10.73/4.49	   new_max15(vx40, vx41, Main.Succ(vx420), Main.Zero) -> Main.Pos(Main.Succ(vx40))
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Pos(Main.Zero)) -> Main.Pos(Main.Zero)
10.73/4.49	   new_max11(Main.Pos(Main.Succ(vx3000)), Main.Pos(Main.Zero)) -> Main.Pos(Main.Succ(vx3000))
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Pos(Main.Succ(vx31000))) -> Main.Pos(Main.Succ(vx31000))
10.73/4.49	   new_max11(Main.Neg(Main.Succ(vx3000)), Main.Pos(vx3100)) -> Main.Pos(vx3100)
10.73/4.49	   new_max14(vx49, vx50, Main.Zero, Main.Zero) -> new_max13(vx49, vx50)
10.73/4.49	   new_max13(vx49, vx50) -> Main.Neg(Main.Succ(vx50))
10.73/4.49	   new_max11(Main.Neg(Main.Succ(vx3000)), Main.Neg(Main.Zero)) -> Main.Neg(Main.Zero)
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Neg(Main.Succ(vx31000))) -> Main.Neg(Main.Zero)
10.73/4.49	   new_max15(vx40, vx41, Main.Zero, Main.Succ(vx430)) -> new_max12(vx40, vx41)
10.73/4.49	
10.73/4.49	The set Q consists of the following terms:
10.73/4.49	
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Pos(Main.Succ(x0)))
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Neg(Main.Zero))
10.73/4.49	   new_max14(x0, x1, Main.Zero, Main.Succ(x2))
10.73/4.49	   new_max14(x0, x1, Main.Succ(x2), Main.Succ(x3))
10.73/4.49	   new_max15(x0, x1, Main.Zero, Main.Zero)
10.73/4.49	   new_max15(x0, x1, Main.Succ(x2), Main.Zero)
10.73/4.49	   new_max14(x0, x1, Main.Zero, Main.Zero)
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Neg(Main.Succ(x0)))
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Pos(Main.Succ(x0)))
10.73/4.49	   new_max12(x0, x1)
10.73/4.49	   new_max11(Main.Pos(Main.Succ(x0)), Main.Pos(Main.Succ(x1)))
10.73/4.49	   new_max11(Main.Neg(Main.Succ(x0)), Main.Neg(Main.Zero))
10.73/4.49	   new_max15(x0, x1, Main.Succ(x2), Main.Succ(x3))
10.73/4.49	   new_max13(x0, x1)
10.73/4.49	   new_max15(x0, x1, Main.Zero, Main.Succ(x2))
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Neg(Main.Succ(x0)))
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Pos(Main.Zero))
10.73/4.49	   new_max14(x0, x1, Main.Succ(x2), Main.Zero)
10.73/4.49	   new_max11(Main.Neg(Main.Succ(x0)), Main.Neg(Main.Succ(x1)))
10.73/4.49	   new_max11(Main.Pos(Main.Succ(x0)), Main.Pos(Main.Zero))
10.73/4.49	   new_max11(Main.Pos(Main.Zero), Main.Neg(Main.Zero))
10.73/4.49	   new_max11(Main.Neg(Main.Zero), Main.Pos(Main.Zero))
10.73/4.49	   new_max11(Main.Neg(Main.Succ(x0)), Main.Pos(x1))
10.73/4.49	   new_max11(Main.Pos(Main.Succ(x0)), Main.Neg(x1))
10.73/4.49	
10.73/4.49	We have to consider all minimal (P,Q,R)-chains.
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(14) QDPSizeChangeProof (EQUIVALENT)
10.73/4.49	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. 
10.73/4.49	
10.73/4.49	From the DPs we obtained the following set of size-change graphs:
10.73/4.49	*new_foldl(vx30, Cons(vx310, vx311)) -> new_foldl(new_max11(vx30, vx310), vx311)
10.73/4.49	The graph contains the following edges 2 > 2
10.73/4.49	
10.73/4.49	
10.73/4.49	----------------------------------------
10.73/4.49	
10.73/4.49	(15)
10.73/4.49	YES
11.02/4.54	EOF