8.22/3.63	YES
10.19/4.19	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
10.19/4.19	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.19/4.19	
10.19/4.19	
10.19/4.19	H-Termination with start terms of the given HASKELL could be proven:
10.19/4.19	
10.19/4.19	(0) HASKELL
10.19/4.19	(1) BR [EQUIVALENT, 0 ms]
10.19/4.19	(2) HASKELL
10.19/4.19	(3) COR [EQUIVALENT, 0 ms]
10.19/4.19	(4) HASKELL
10.19/4.19	(5) Narrow [SOUND, 0 ms]
10.19/4.19	(6) AND
10.19/4.19	    (7) QDP
10.19/4.19	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.19	        (9) YES
10.19/4.19	    (10) QDP
10.19/4.19	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.19	        (12) YES
10.19/4.19	    (13) QDP
10.19/4.19	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.19	        (15) YES
10.19/4.19	
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(0)
10.19/4.19	Obligation:
10.19/4.19	mainModule Main 
10.19/4.19	module Main where {
10.19/4.19	import qualified Prelude;
10.19/4.19	data MyBool = MyTrue  | MyFalse ;
10.19/4.19	
10.19/4.19	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.19/4.19	
10.19/4.19	data Main.Nat = Succ Main.Nat  | Zero ;
10.19/4.19	
10.19/4.19	data Ordering = LT  | EQ  | GT ;
10.19/4.19	
10.19/4.19	data Ratio a = CnPc a a ;
10.19/4.19	
10.19/4.19	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.19/4.19	compareMyInt = primCmpInt;
10.19/4.19	
10.19/4.19	compareRatio :: Ratio MyInt  ->  Ratio MyInt  ->  Ordering;
10.19/4.19	compareRatio (CnPc x y) (CnPc x' y') = compareMyInt (srMyInt x y') (srMyInt x' y);
10.19/4.19	
10.19/4.19	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.19/4.19	esEsOrdering LT LT = MyTrue;
10.19/4.19	esEsOrdering LT EQ = MyFalse;
10.19/4.19	esEsOrdering LT GT = MyFalse;
10.19/4.19	esEsOrdering EQ LT = MyFalse;
10.19/4.19	esEsOrdering EQ EQ = MyTrue;
10.19/4.19	esEsOrdering EQ GT = MyFalse;
10.19/4.19	esEsOrdering GT LT = MyFalse;
10.19/4.19	esEsOrdering GT EQ = MyFalse;
10.19/4.19	esEsOrdering GT GT = MyTrue;
10.19/4.19	
10.19/4.19	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.19/4.19	fsEsOrdering x y = not (esEsOrdering x y);
10.19/4.19	
10.19/4.19	gtEsRatio :: Ratio MyInt  ->  Ratio MyInt  ->  MyBool;
10.19/4.19	gtEsRatio x y = fsEsOrdering (compareRatio x y) LT;
10.19/4.19	
10.19/4.19	not :: MyBool  ->  MyBool;
10.19/4.19	not MyTrue = MyFalse;
10.19/4.19	not MyFalse = MyTrue;
10.19/4.19	
10.19/4.19	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.19/4.19	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.19/4.19	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.19/4.19	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.19/4.19	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.19/4.19	
10.19/4.19	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.19/4.19	primCmpNat Main.Zero Main.Zero = EQ;
10.19/4.19	primCmpNat Main.Zero (Main.Succ y) = LT;
10.19/4.19	primCmpNat (Main.Succ x) Main.Zero = GT;
10.19/4.19	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.19/4.19	
10.19/4.19	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.19/4.19	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.19/4.19	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.19/4.19	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.19/4.19	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.19/4.19	
10.19/4.19	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.19/4.19	primMulNat Main.Zero Main.Zero = Main.Zero;
10.19/4.19	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.19/4.19	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.19/4.19	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.19/4.19	
10.19/4.19	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.19/4.19	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.19/4.19	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.19/4.19	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.19/4.19	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.19/4.19	
10.19/4.19	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.19/4.19	srMyInt = primMulInt;
10.19/4.19	
10.19/4.19	}
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(1) BR (EQUIVALENT)
10.19/4.19	Replaced joker patterns by fresh variables and removed binding patterns.
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(2)
10.19/4.19	Obligation:
10.19/4.19	mainModule Main 
10.19/4.19	module Main where {
10.19/4.19	import qualified Prelude;
10.19/4.19	data MyBool = MyTrue  | MyFalse ;
10.19/4.19	
10.19/4.19	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.19/4.19	
10.19/4.19	data Main.Nat = Succ Main.Nat  | Zero ;
10.19/4.19	
10.19/4.19	data Ordering = LT  | EQ  | GT ;
10.19/4.19	
10.19/4.19	data Ratio a = CnPc a a ;
10.19/4.19	
10.19/4.19	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.19/4.19	compareMyInt = primCmpInt;
10.19/4.19	
10.19/4.19	compareRatio :: Ratio MyInt  ->  Ratio MyInt  ->  Ordering;
10.19/4.19	compareRatio (CnPc x y) (CnPc x' y') = compareMyInt (srMyInt x y') (srMyInt x' y);
10.19/4.19	
10.19/4.19	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.19/4.19	esEsOrdering LT LT = MyTrue;
10.19/4.19	esEsOrdering LT EQ = MyFalse;
10.19/4.19	esEsOrdering LT GT = MyFalse;
10.19/4.19	esEsOrdering EQ LT = MyFalse;
10.19/4.19	esEsOrdering EQ EQ = MyTrue;
10.19/4.19	esEsOrdering EQ GT = MyFalse;
10.19/4.19	esEsOrdering GT LT = MyFalse;
10.19/4.19	esEsOrdering GT EQ = MyFalse;
10.19/4.19	esEsOrdering GT GT = MyTrue;
10.19/4.19	
10.19/4.19	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.19/4.19	fsEsOrdering x y = not (esEsOrdering x y);
10.19/4.19	
10.19/4.19	gtEsRatio :: Ratio MyInt  ->  Ratio MyInt  ->  MyBool;
10.19/4.19	gtEsRatio x y = fsEsOrdering (compareRatio x y) LT;
10.19/4.19	
10.19/4.19	not :: MyBool  ->  MyBool;
10.19/4.19	not MyTrue = MyFalse;
10.19/4.19	not MyFalse = MyTrue;
10.19/4.19	
10.19/4.19	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.19/4.19	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.19/4.19	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.19/4.19	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.19/4.19	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.19/4.19	
10.19/4.19	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.19/4.19	primCmpNat Main.Zero Main.Zero = EQ;
10.19/4.19	primCmpNat Main.Zero (Main.Succ y) = LT;
10.19/4.19	primCmpNat (Main.Succ x) Main.Zero = GT;
10.19/4.19	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.19/4.19	
10.19/4.19	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.19/4.19	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.19/4.19	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.19/4.19	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.19/4.19	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.19/4.19	
10.19/4.19	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.19/4.19	primMulNat Main.Zero Main.Zero = Main.Zero;
10.19/4.19	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.19/4.19	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.19/4.19	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.19/4.19	
10.19/4.19	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.19/4.19	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.19/4.19	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.19/4.19	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.19/4.19	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.19/4.19	
10.19/4.19	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.19/4.19	srMyInt = primMulInt;
10.19/4.19	
10.19/4.19	}
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(3) COR (EQUIVALENT)
10.19/4.19	Cond Reductions:
10.19/4.19	The following Function with conditions
10.19/4.19	"undefined |Falseundefined;
10.19/4.19	"
10.19/4.19	is transformed to
10.19/4.19	"undefined  = undefined1;
10.19/4.19	"
10.19/4.19	"undefined0 True = undefined;
10.19/4.19	"
10.19/4.19	"undefined1  = undefined0 False;
10.19/4.19	"
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(4)
10.19/4.19	Obligation:
10.19/4.19	mainModule Main 
10.19/4.19	module Main where {
10.19/4.19	import qualified Prelude;
10.19/4.19	data MyBool = MyTrue  | MyFalse ;
10.19/4.19	
10.19/4.19	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.19/4.19	
10.19/4.19	data Main.Nat = Succ Main.Nat  | Zero ;
10.19/4.19	
10.19/4.19	data Ordering = LT  | EQ  | GT ;
10.19/4.19	
10.19/4.19	data Ratio a = CnPc a a ;
10.19/4.19	
10.19/4.19	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.19/4.19	compareMyInt = primCmpInt;
10.19/4.19	
10.19/4.19	compareRatio :: Ratio MyInt  ->  Ratio MyInt  ->  Ordering;
10.19/4.19	compareRatio (CnPc x y) (CnPc x' y') = compareMyInt (srMyInt x y') (srMyInt x' y);
10.19/4.19	
10.19/4.19	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.19/4.19	esEsOrdering LT LT = MyTrue;
10.19/4.19	esEsOrdering LT EQ = MyFalse;
10.19/4.19	esEsOrdering LT GT = MyFalse;
10.19/4.19	esEsOrdering EQ LT = MyFalse;
10.19/4.19	esEsOrdering EQ EQ = MyTrue;
10.19/4.19	esEsOrdering EQ GT = MyFalse;
10.19/4.19	esEsOrdering GT LT = MyFalse;
10.19/4.19	esEsOrdering GT EQ = MyFalse;
10.19/4.19	esEsOrdering GT GT = MyTrue;
10.19/4.19	
10.19/4.19	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.19/4.19	fsEsOrdering x y = not (esEsOrdering x y);
10.19/4.19	
10.19/4.19	gtEsRatio :: Ratio MyInt  ->  Ratio MyInt  ->  MyBool;
10.19/4.19	gtEsRatio x y = fsEsOrdering (compareRatio x y) LT;
10.19/4.19	
10.19/4.19	not :: MyBool  ->  MyBool;
10.19/4.19	not MyTrue = MyFalse;
10.19/4.19	not MyFalse = MyTrue;
10.19/4.19	
10.19/4.19	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.19/4.19	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.19/4.19	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.19/4.19	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.19/4.19	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.19/4.19	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.19/4.19	
10.19/4.19	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.19/4.19	primCmpNat Main.Zero Main.Zero = EQ;
10.19/4.19	primCmpNat Main.Zero (Main.Succ y) = LT;
10.19/4.19	primCmpNat (Main.Succ x) Main.Zero = GT;
10.19/4.19	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.19/4.19	
10.19/4.19	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.19/4.19	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.19/4.19	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.19/4.19	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.19/4.19	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.19/4.19	
10.19/4.19	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.19/4.19	primMulNat Main.Zero Main.Zero = Main.Zero;
10.19/4.19	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.19/4.19	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.19/4.19	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.19/4.19	
10.19/4.19	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.19/4.19	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.19/4.19	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.19/4.19	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.19/4.19	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.19/4.19	
10.19/4.19	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.19/4.19	srMyInt = primMulInt;
10.19/4.19	
10.19/4.19	}
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(5) Narrow (SOUND)
10.19/4.19	Haskell To QDPs
10.19/4.19	
10.19/4.19	digraph dp_graph {
10.19/4.19	node [outthreshold=100, inthreshold=100];1[label="gtEsRatio",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.19/4.19	3[label="gtEsRatio vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
10.19/4.19	4[label="gtEsRatio vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.19/4.19	5[label="fsEsOrdering (compareRatio vx3 vx4) LT",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.19/4.19	6[label="not (esEsOrdering (compareRatio vx3 vx4) LT)",fontsize=16,color="burlywood",shape="box"];516[label="vx3/CnPc vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];6 -> 516[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	516 -> 7[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	7[label="not (esEsOrdering (compareRatio (CnPc vx30 vx31) vx4) LT)",fontsize=16,color="burlywood",shape="box"];517[label="vx4/CnPc vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];7 -> 517[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	517 -> 8[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	8[label="not (esEsOrdering (compareRatio (CnPc vx30 vx31) (CnPc vx40 vx41)) LT)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
10.19/4.19	9[label="not (esEsOrdering (compareMyInt (srMyInt vx30 vx41) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10.19/4.19	10[label="not (esEsOrdering (primCmpInt (srMyInt vx30 vx41) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3];
10.19/4.19	11[label="not (esEsOrdering (primCmpInt (primMulInt vx30 vx41) (srMyInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="box"];518[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];11 -> 518[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	518 -> 12[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	519[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];11 -> 519[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	519 -> 13[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	12[label="not (esEsOrdering (primCmpInt (primMulInt (Pos vx300) vx41) (srMyInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="box"];520[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 520[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	520 -> 14[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	521[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 521[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	521 -> 15[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	13[label="not (esEsOrdering (primCmpInt (primMulInt (Neg vx300) vx41) (srMyInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="box"];522[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];13 -> 522[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	522 -> 16[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	523[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];13 -> 523[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	523 -> 17[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	14[label="not (esEsOrdering (primCmpInt (primMulInt (Pos vx300) (Pos vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
10.19/4.19	15[label="not (esEsOrdering (primCmpInt (primMulInt (Pos vx300) (Neg vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
10.19/4.19	16[label="not (esEsOrdering (primCmpInt (primMulInt (Neg vx300) (Pos vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
10.19/4.19	17[label="not (esEsOrdering (primCmpInt (primMulInt (Neg vx300) (Neg vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
10.19/4.19	18 -> 269[label="",style="dashed", color="red", weight=0];
10.19/4.19	18[label="not (esEsOrdering (primCmpInt (Pos (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="magenta"];18 -> 270[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	19 -> 346[label="",style="dashed", color="red", weight=0];
10.19/4.19	19[label="not (esEsOrdering (primCmpInt (Neg (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="magenta"];19 -> 347[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	20 -> 346[label="",style="dashed", color="red", weight=0];
10.19/4.19	20[label="not (esEsOrdering (primCmpInt (Neg (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="magenta"];20 -> 348[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	21 -> 269[label="",style="dashed", color="red", weight=0];
10.19/4.19	21[label="not (esEsOrdering (primCmpInt (Pos (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="magenta"];21 -> 271[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	270[label="primMulNat vx300 vx410",fontsize=16,color="burlywood",shape="triangle"];524[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];270 -> 524[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	524 -> 282[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	525[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];270 -> 525[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	525 -> 283[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	269[label="not (esEsOrdering (primCmpInt (Pos vx10) (srMyInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="triangle"];526[label="vx10/Succ vx100",fontsize=10,color="white",style="solid",shape="box"];269 -> 526[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	526 -> 284[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	527[label="vx10/Zero",fontsize=10,color="white",style="solid",shape="box"];269 -> 527[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	527 -> 285[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	347 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	347[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];347 -> 359[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	346[label="not (esEsOrdering (primCmpInt (Neg vx15) (srMyInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="triangle"];528[label="vx15/Succ vx150",fontsize=10,color="white",style="solid",shape="box"];346 -> 528[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	528 -> 360[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	529[label="vx15/Zero",fontsize=10,color="white",style="solid",shape="box"];346 -> 529[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	529 -> 361[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	348 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	348[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];348 -> 362[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	271 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	271[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];271 -> 286[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	271 -> 287[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	282[label="primMulNat (Succ vx3000) vx410",fontsize=16,color="burlywood",shape="box"];530[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];282 -> 530[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	530 -> 302[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	531[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];282 -> 531[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	531 -> 303[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	283[label="primMulNat Zero vx410",fontsize=16,color="burlywood",shape="box"];532[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];283 -> 532[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	532 -> 304[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	533[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];283 -> 533[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	533 -> 305[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	284[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];284 -> 306[label="",style="solid", color="black", weight=3];
10.19/4.19	285[label="not (esEsOrdering (primCmpInt (Pos Zero) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];285 -> 307[label="",style="solid", color="black", weight=3];
10.19/4.19	359[label="vx410",fontsize=16,color="green",shape="box"];360[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];360 -> 373[label="",style="solid", color="black", weight=3];
10.19/4.19	361[label="not (esEsOrdering (primCmpInt (Neg Zero) (srMyInt vx40 vx31)) LT)",fontsize=16,color="black",shape="box"];361 -> 374[label="",style="solid", color="black", weight=3];
10.19/4.19	362[label="vx300",fontsize=16,color="green",shape="box"];286[label="vx410",fontsize=16,color="green",shape="box"];287[label="vx300",fontsize=16,color="green",shape="box"];302[label="primMulNat (Succ vx3000) (Succ vx4100)",fontsize=16,color="black",shape="box"];302 -> 319[label="",style="solid", color="black", weight=3];
10.19/4.19	303[label="primMulNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];303 -> 320[label="",style="solid", color="black", weight=3];
10.19/4.19	304[label="primMulNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];304 -> 321[label="",style="solid", color="black", weight=3];
10.19/4.19	305[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];305 -> 322[label="",style="solid", color="black", weight=3];
10.19/4.19	306[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="box"];534[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];306 -> 534[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	534 -> 323[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	535[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];306 -> 535[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	535 -> 324[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	307[label="not (esEsOrdering (primCmpInt (Pos Zero) (primMulInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="box"];536[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];307 -> 536[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	536 -> 325[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	537[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];307 -> 537[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	537 -> 326[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	373[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="box"];538[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];373 -> 538[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	538 -> 378[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	539[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];373 -> 539[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	539 -> 379[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	374[label="not (esEsOrdering (primCmpInt (Neg Zero) (primMulInt vx40 vx31)) LT)",fontsize=16,color="burlywood",shape="box"];540[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];374 -> 540[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	540 -> 380[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	541[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];374 -> 541[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	541 -> 381[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	319 -> 332[label="",style="dashed", color="red", weight=0];
10.19/4.19	319[label="primPlusNat (primMulNat vx3000 (Succ vx4100)) (Succ vx4100)",fontsize=16,color="magenta"];319 -> 333[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	320[label="Zero",fontsize=16,color="green",shape="box"];321[label="Zero",fontsize=16,color="green",shape="box"];322[label="Zero",fontsize=16,color="green",shape="box"];323[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];542[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 542[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	542 -> 334[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	543[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 543[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	543 -> 335[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	324[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];544[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];324 -> 544[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	544 -> 336[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	545[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];324 -> 545[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	545 -> 337[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	325[label="not (esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];546[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];325 -> 546[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	546 -> 338[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	547[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];325 -> 547[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	547 -> 339[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	326[label="not (esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];548[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];326 -> 548[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	548 -> 340[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	549[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];326 -> 549[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	549 -> 341[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	378[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];550[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 550[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	550 -> 385[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	551[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 551[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	551 -> 386[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	379[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];552[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];379 -> 552[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	552 -> 387[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	553[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];379 -> 553[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	553 -> 388[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	380[label="not (esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];554[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];380 -> 554[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	554 -> 389[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	555[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];380 -> 555[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	555 -> 390[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	381[label="not (esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx400) vx31)) LT)",fontsize=16,color="burlywood",shape="box"];556[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];381 -> 556[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	556 -> 391[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	557[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];381 -> 557[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	557 -> 392[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	333 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	333[label="primMulNat vx3000 (Succ vx4100)",fontsize=16,color="magenta"];333 -> 342[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	333 -> 343[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	332[label="primPlusNat vx14 (Succ vx4100)",fontsize=16,color="burlywood",shape="triangle"];558[label="vx14/Succ vx140",fontsize=10,color="white",style="solid",shape="box"];332 -> 558[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	558 -> 344[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	559[label="vx14/Zero",fontsize=10,color="white",style="solid",shape="box"];332 -> 559[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	559 -> 345[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	334[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];334 -> 363[label="",style="solid", color="black", weight=3];
10.19/4.19	335[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];335 -> 364[label="",style="solid", color="black", weight=3];
10.19/4.19	336[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];336 -> 365[label="",style="solid", color="black", weight=3];
10.19/4.19	337[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];337 -> 366[label="",style="solid", color="black", weight=3];
10.19/4.19	338[label="not (esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];338 -> 367[label="",style="solid", color="black", weight=3];
10.19/4.19	339[label="not (esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];339 -> 368[label="",style="solid", color="black", weight=3];
10.19/4.19	340[label="not (esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];340 -> 369[label="",style="solid", color="black", weight=3];
10.19/4.19	341[label="not (esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];341 -> 370[label="",style="solid", color="black", weight=3];
10.19/4.19	385[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];385 -> 396[label="",style="solid", color="black", weight=3];
10.19/4.19	386[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];386 -> 397[label="",style="solid", color="black", weight=3];
10.19/4.19	387[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];387 -> 398[label="",style="solid", color="black", weight=3];
10.19/4.19	388[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];388 -> 399[label="",style="solid", color="black", weight=3];
10.19/4.19	389[label="not (esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];389 -> 400[label="",style="solid", color="black", weight=3];
10.19/4.19	390[label="not (esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];390 -> 401[label="",style="solid", color="black", weight=3];
10.19/4.19	391[label="not (esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Pos vx310))) LT)",fontsize=16,color="black",shape="box"];391 -> 402[label="",style="solid", color="black", weight=3];
10.19/4.19	392[label="not (esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Neg vx310))) LT)",fontsize=16,color="black",shape="box"];392 -> 403[label="",style="solid", color="black", weight=3];
10.19/4.19	342[label="Succ vx4100",fontsize=16,color="green",shape="box"];343[label="vx3000",fontsize=16,color="green",shape="box"];344[label="primPlusNat (Succ vx140) (Succ vx4100)",fontsize=16,color="black",shape="box"];344 -> 371[label="",style="solid", color="black", weight=3];
10.19/4.19	345[label="primPlusNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];345 -> 372[label="",style="solid", color="black", weight=3];
10.19/4.19	363 -> 375[label="",style="dashed", color="red", weight=0];
10.19/4.19	363[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];363 -> 376[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	364 -> 382[label="",style="dashed", color="red", weight=0];
10.19/4.19	364[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];364 -> 383[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	365 -> 382[label="",style="dashed", color="red", weight=0];
10.19/4.19	365[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];365 -> 384[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	366 -> 375[label="",style="dashed", color="red", weight=0];
10.19/4.19	366[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];366 -> 377[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	367 -> 393[label="",style="dashed", color="red", weight=0];
10.19/4.19	367[label="not (esEsOrdering (primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];367 -> 394[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	368 -> 404[label="",style="dashed", color="red", weight=0];
10.19/4.19	368[label="not (esEsOrdering (primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];368 -> 405[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	369 -> 404[label="",style="dashed", color="red", weight=0];
10.19/4.19	369[label="not (esEsOrdering (primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];369 -> 406[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	370 -> 393[label="",style="dashed", color="red", weight=0];
10.19/4.19	370[label="not (esEsOrdering (primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];370 -> 395[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	396 -> 407[label="",style="dashed", color="red", weight=0];
10.19/4.19	396[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];396 -> 408[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	397 -> 410[label="",style="dashed", color="red", weight=0];
10.19/4.19	397[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];397 -> 411[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	398 -> 410[label="",style="dashed", color="red", weight=0];
10.19/4.19	398[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];398 -> 412[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	399 -> 407[label="",style="dashed", color="red", weight=0];
10.19/4.19	399[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];399 -> 409[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	400 -> 413[label="",style="dashed", color="red", weight=0];
10.19/4.19	400[label="not (esEsOrdering (primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];400 -> 414[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	401 -> 416[label="",style="dashed", color="red", weight=0];
10.19/4.19	401[label="not (esEsOrdering (primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];401 -> 417[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	402 -> 416[label="",style="dashed", color="red", weight=0];
10.19/4.19	402[label="not (esEsOrdering (primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];402 -> 418[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	403 -> 413[label="",style="dashed", color="red", weight=0];
10.19/4.19	403[label="not (esEsOrdering (primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310))) LT)",fontsize=16,color="magenta"];403 -> 415[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	371[label="Succ (Succ (primPlusNat vx140 vx4100))",fontsize=16,color="green",shape="box"];371 -> 419[label="",style="dashed", color="green", weight=3];
10.19/4.19	372[label="Succ vx4100",fontsize=16,color="green",shape="box"];376 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	376[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];376 -> 420[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	376 -> 421[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	375[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos vx16)) LT)",fontsize=16,color="black",shape="triangle"];375 -> 422[label="",style="solid", color="black", weight=3];
10.19/4.19	383 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	383[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];383 -> 423[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	383 -> 424[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	382[label="not (esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg vx17)) LT)",fontsize=16,color="black",shape="triangle"];382 -> 425[label="",style="solid", color="black", weight=3];
10.19/4.19	384 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	384[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];384 -> 426[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	384 -> 427[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	377 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	377[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];377 -> 428[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	377 -> 429[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	394 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	394[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];394 -> 430[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	394 -> 431[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	393[label="not (esEsOrdering (primCmpInt (Pos Zero) (Pos vx18)) LT)",fontsize=16,color="burlywood",shape="triangle"];560[label="vx18/Succ vx180",fontsize=10,color="white",style="solid",shape="box"];393 -> 560[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	560 -> 432[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	561[label="vx18/Zero",fontsize=10,color="white",style="solid",shape="box"];393 -> 561[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	561 -> 433[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	405 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	405[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];405 -> 434[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	405 -> 435[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	404[label="not (esEsOrdering (primCmpInt (Pos Zero) (Neg vx19)) LT)",fontsize=16,color="burlywood",shape="triangle"];562[label="vx19/Succ vx190",fontsize=10,color="white",style="solid",shape="box"];404 -> 562[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	562 -> 436[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	563[label="vx19/Zero",fontsize=10,color="white",style="solid",shape="box"];404 -> 563[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	563 -> 437[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	406 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	406[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];406 -> 438[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	406 -> 439[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	395 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	395[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];395 -> 440[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	395 -> 441[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	408 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	408[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];408 -> 442[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	408 -> 443[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	407[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos vx20)) LT)",fontsize=16,color="black",shape="triangle"];407 -> 444[label="",style="solid", color="black", weight=3];
10.19/4.19	411 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	411[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];411 -> 445[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	411 -> 446[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	410[label="not (esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg vx21)) LT)",fontsize=16,color="black",shape="triangle"];410 -> 447[label="",style="solid", color="black", weight=3];
10.19/4.19	412 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	412[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];412 -> 448[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	412 -> 449[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	409 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	409[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];409 -> 450[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	409 -> 451[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	414 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	414[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];414 -> 452[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	414 -> 453[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	413[label="not (esEsOrdering (primCmpInt (Neg Zero) (Pos vx22)) LT)",fontsize=16,color="burlywood",shape="triangle"];564[label="vx22/Succ vx220",fontsize=10,color="white",style="solid",shape="box"];413 -> 564[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	564 -> 454[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	565[label="vx22/Zero",fontsize=10,color="white",style="solid",shape="box"];413 -> 565[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	565 -> 455[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	417 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	417[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];417 -> 456[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	417 -> 457[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	416[label="not (esEsOrdering (primCmpInt (Neg Zero) (Neg vx23)) LT)",fontsize=16,color="burlywood",shape="triangle"];566[label="vx23/Succ vx230",fontsize=10,color="white",style="solid",shape="box"];416 -> 566[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	566 -> 458[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	567[label="vx23/Zero",fontsize=10,color="white",style="solid",shape="box"];416 -> 567[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	567 -> 459[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	418 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	418[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];418 -> 460[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	418 -> 461[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	415 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.19	415[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];415 -> 462[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	415 -> 463[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	419[label="primPlusNat vx140 vx4100",fontsize=16,color="burlywood",shape="triangle"];568[label="vx140/Succ vx1400",fontsize=10,color="white",style="solid",shape="box"];419 -> 568[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	568 -> 464[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	569[label="vx140/Zero",fontsize=10,color="white",style="solid",shape="box"];419 -> 569[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	569 -> 465[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	420[label="vx310",fontsize=16,color="green",shape="box"];421[label="vx400",fontsize=16,color="green",shape="box"];422[label="not (esEsOrdering (primCmpNat (Succ vx100) vx16) LT)",fontsize=16,color="burlywood",shape="triangle"];570[label="vx16/Succ vx160",fontsize=10,color="white",style="solid",shape="box"];422 -> 570[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	570 -> 466[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	571[label="vx16/Zero",fontsize=10,color="white",style="solid",shape="box"];422 -> 571[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	571 -> 467[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	423[label="vx310",fontsize=16,color="green",shape="box"];424[label="vx400",fontsize=16,color="green",shape="box"];425[label="not (esEsOrdering GT LT)",fontsize=16,color="black",shape="triangle"];425 -> 468[label="",style="solid", color="black", weight=3];
10.19/4.19	426[label="vx310",fontsize=16,color="green",shape="box"];427[label="vx400",fontsize=16,color="green",shape="box"];428[label="vx310",fontsize=16,color="green",shape="box"];429[label="vx400",fontsize=16,color="green",shape="box"];430[label="vx310",fontsize=16,color="green",shape="box"];431[label="vx400",fontsize=16,color="green",shape="box"];432[label="not (esEsOrdering (primCmpInt (Pos Zero) (Pos (Succ vx180))) LT)",fontsize=16,color="black",shape="box"];432 -> 469[label="",style="solid", color="black", weight=3];
10.19/4.19	433[label="not (esEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];433 -> 470[label="",style="solid", color="black", weight=3];
10.19/4.19	434[label="vx310",fontsize=16,color="green",shape="box"];435[label="vx400",fontsize=16,color="green",shape="box"];436[label="not (esEsOrdering (primCmpInt (Pos Zero) (Neg (Succ vx190))) LT)",fontsize=16,color="black",shape="box"];436 -> 471[label="",style="solid", color="black", weight=3];
10.19/4.19	437[label="not (esEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];437 -> 472[label="",style="solid", color="black", weight=3];
10.19/4.19	438[label="vx310",fontsize=16,color="green",shape="box"];439[label="vx400",fontsize=16,color="green",shape="box"];440[label="vx310",fontsize=16,color="green",shape="box"];441[label="vx400",fontsize=16,color="green",shape="box"];442[label="vx310",fontsize=16,color="green",shape="box"];443[label="vx400",fontsize=16,color="green",shape="box"];444[label="not (esEsOrdering LT LT)",fontsize=16,color="black",shape="triangle"];444 -> 473[label="",style="solid", color="black", weight=3];
10.19/4.19	445[label="vx310",fontsize=16,color="green",shape="box"];446[label="vx400",fontsize=16,color="green",shape="box"];447[label="not (esEsOrdering (primCmpNat vx21 (Succ vx150)) LT)",fontsize=16,color="burlywood",shape="triangle"];572[label="vx21/Succ vx210",fontsize=10,color="white",style="solid",shape="box"];447 -> 572[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	572 -> 474[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	573[label="vx21/Zero",fontsize=10,color="white",style="solid",shape="box"];447 -> 573[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	573 -> 475[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	448[label="vx310",fontsize=16,color="green",shape="box"];449[label="vx400",fontsize=16,color="green",shape="box"];450[label="vx310",fontsize=16,color="green",shape="box"];451[label="vx400",fontsize=16,color="green",shape="box"];452[label="vx310",fontsize=16,color="green",shape="box"];453[label="vx400",fontsize=16,color="green",shape="box"];454[label="not (esEsOrdering (primCmpInt (Neg Zero) (Pos (Succ vx220))) LT)",fontsize=16,color="black",shape="box"];454 -> 476[label="",style="solid", color="black", weight=3];
10.19/4.19	455[label="not (esEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];455 -> 477[label="",style="solid", color="black", weight=3];
10.19/4.19	456[label="vx310",fontsize=16,color="green",shape="box"];457[label="vx400",fontsize=16,color="green",shape="box"];458[label="not (esEsOrdering (primCmpInt (Neg Zero) (Neg (Succ vx230))) LT)",fontsize=16,color="black",shape="box"];458 -> 478[label="",style="solid", color="black", weight=3];
10.19/4.19	459[label="not (esEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];459 -> 479[label="",style="solid", color="black", weight=3];
10.19/4.19	460[label="vx310",fontsize=16,color="green",shape="box"];461[label="vx400",fontsize=16,color="green",shape="box"];462[label="vx310",fontsize=16,color="green",shape="box"];463[label="vx400",fontsize=16,color="green",shape="box"];464[label="primPlusNat (Succ vx1400) vx4100",fontsize=16,color="burlywood",shape="box"];574[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];464 -> 574[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	574 -> 480[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	575[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];464 -> 575[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	575 -> 481[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	465[label="primPlusNat Zero vx4100",fontsize=16,color="burlywood",shape="box"];576[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];465 -> 576[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	576 -> 482[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	577[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];465 -> 577[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	577 -> 483[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	466[label="not (esEsOrdering (primCmpNat (Succ vx100) (Succ vx160)) LT)",fontsize=16,color="black",shape="box"];466 -> 484[label="",style="solid", color="black", weight=3];
10.19/4.19	467[label="not (esEsOrdering (primCmpNat (Succ vx100) Zero) LT)",fontsize=16,color="black",shape="box"];467 -> 485[label="",style="solid", color="black", weight=3];
10.19/4.19	468[label="not MyFalse",fontsize=16,color="black",shape="triangle"];468 -> 486[label="",style="solid", color="black", weight=3];
10.19/4.19	469 -> 447[label="",style="dashed", color="red", weight=0];
10.19/4.19	469[label="not (esEsOrdering (primCmpNat Zero (Succ vx180)) LT)",fontsize=16,color="magenta"];469 -> 487[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	469 -> 488[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	470[label="not (esEsOrdering EQ LT)",fontsize=16,color="black",shape="triangle"];470 -> 489[label="",style="solid", color="black", weight=3];
10.19/4.19	471 -> 425[label="",style="dashed", color="red", weight=0];
10.19/4.19	471[label="not (esEsOrdering GT LT)",fontsize=16,color="magenta"];472 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.19	472[label="not (esEsOrdering EQ LT)",fontsize=16,color="magenta"];473[label="not MyTrue",fontsize=16,color="black",shape="box"];473 -> 490[label="",style="solid", color="black", weight=3];
10.19/4.19	474[label="not (esEsOrdering (primCmpNat (Succ vx210) (Succ vx150)) LT)",fontsize=16,color="black",shape="box"];474 -> 491[label="",style="solid", color="black", weight=3];
10.19/4.19	475[label="not (esEsOrdering (primCmpNat Zero (Succ vx150)) LT)",fontsize=16,color="black",shape="box"];475 -> 492[label="",style="solid", color="black", weight=3];
10.19/4.19	476 -> 444[label="",style="dashed", color="red", weight=0];
10.19/4.19	476[label="not (esEsOrdering LT LT)",fontsize=16,color="magenta"];477 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.19	477[label="not (esEsOrdering EQ LT)",fontsize=16,color="magenta"];478 -> 422[label="",style="dashed", color="red", weight=0];
10.19/4.19	478[label="not (esEsOrdering (primCmpNat (Succ vx230) Zero) LT)",fontsize=16,color="magenta"];478 -> 493[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	478 -> 494[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	479 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.19	479[label="not (esEsOrdering EQ LT)",fontsize=16,color="magenta"];480[label="primPlusNat (Succ vx1400) (Succ vx41000)",fontsize=16,color="black",shape="box"];480 -> 495[label="",style="solid", color="black", weight=3];
10.19/4.19	481[label="primPlusNat (Succ vx1400) Zero",fontsize=16,color="black",shape="box"];481 -> 496[label="",style="solid", color="black", weight=3];
10.19/4.19	482[label="primPlusNat Zero (Succ vx41000)",fontsize=16,color="black",shape="box"];482 -> 497[label="",style="solid", color="black", weight=3];
10.19/4.19	483[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];483 -> 498[label="",style="solid", color="black", weight=3];
10.19/4.19	484[label="not (esEsOrdering (primCmpNat vx100 vx160) LT)",fontsize=16,color="burlywood",shape="triangle"];578[label="vx100/Succ vx1000",fontsize=10,color="white",style="solid",shape="box"];484 -> 578[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	578 -> 499[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	579[label="vx100/Zero",fontsize=10,color="white",style="solid",shape="box"];484 -> 579[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	579 -> 500[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	485 -> 425[label="",style="dashed", color="red", weight=0];
10.19/4.19	485[label="not (esEsOrdering GT LT)",fontsize=16,color="magenta"];486[label="MyTrue",fontsize=16,color="green",shape="box"];487[label="vx180",fontsize=16,color="green",shape="box"];488[label="Zero",fontsize=16,color="green",shape="box"];489 -> 468[label="",style="dashed", color="red", weight=0];
10.19/4.19	489[label="not MyFalse",fontsize=16,color="magenta"];490[label="MyFalse",fontsize=16,color="green",shape="box"];491 -> 484[label="",style="dashed", color="red", weight=0];
10.19/4.19	491[label="not (esEsOrdering (primCmpNat vx210 vx150) LT)",fontsize=16,color="magenta"];491 -> 501[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	491 -> 502[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	492 -> 444[label="",style="dashed", color="red", weight=0];
10.19/4.19	492[label="not (esEsOrdering LT LT)",fontsize=16,color="magenta"];493[label="Zero",fontsize=16,color="green",shape="box"];494[label="vx230",fontsize=16,color="green",shape="box"];495[label="Succ (Succ (primPlusNat vx1400 vx41000))",fontsize=16,color="green",shape="box"];495 -> 503[label="",style="dashed", color="green", weight=3];
10.19/4.19	496[label="Succ vx1400",fontsize=16,color="green",shape="box"];497[label="Succ vx41000",fontsize=16,color="green",shape="box"];498[label="Zero",fontsize=16,color="green",shape="box"];499[label="not (esEsOrdering (primCmpNat (Succ vx1000) vx160) LT)",fontsize=16,color="burlywood",shape="box"];580[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];499 -> 580[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	580 -> 504[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	581[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];499 -> 581[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	581 -> 505[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	500[label="not (esEsOrdering (primCmpNat Zero vx160) LT)",fontsize=16,color="burlywood",shape="box"];582[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];500 -> 582[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	582 -> 506[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	583[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];500 -> 583[label="",style="solid", color="burlywood", weight=9];
10.19/4.19	583 -> 507[label="",style="solid", color="burlywood", weight=3];
10.19/4.19	501[label="vx210",fontsize=16,color="green",shape="box"];502[label="vx150",fontsize=16,color="green",shape="box"];503 -> 419[label="",style="dashed", color="red", weight=0];
10.19/4.19	503[label="primPlusNat vx1400 vx41000",fontsize=16,color="magenta"];503 -> 508[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	503 -> 509[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	504[label="not (esEsOrdering (primCmpNat (Succ vx1000) (Succ vx1600)) LT)",fontsize=16,color="black",shape="box"];504 -> 510[label="",style="solid", color="black", weight=3];
10.19/4.19	505[label="not (esEsOrdering (primCmpNat (Succ vx1000) Zero) LT)",fontsize=16,color="black",shape="box"];505 -> 511[label="",style="solid", color="black", weight=3];
10.19/4.19	506[label="not (esEsOrdering (primCmpNat Zero (Succ vx1600)) LT)",fontsize=16,color="black",shape="box"];506 -> 512[label="",style="solid", color="black", weight=3];
10.19/4.19	507[label="not (esEsOrdering (primCmpNat Zero Zero) LT)",fontsize=16,color="black",shape="box"];507 -> 513[label="",style="solid", color="black", weight=3];
10.19/4.19	508[label="vx1400",fontsize=16,color="green",shape="box"];509[label="vx41000",fontsize=16,color="green",shape="box"];510 -> 484[label="",style="dashed", color="red", weight=0];
10.19/4.19	510[label="not (esEsOrdering (primCmpNat vx1000 vx1600) LT)",fontsize=16,color="magenta"];510 -> 514[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	510 -> 515[label="",style="dashed", color="magenta", weight=3];
10.19/4.19	511 -> 425[label="",style="dashed", color="red", weight=0];
10.19/4.19	511[label="not (esEsOrdering GT LT)",fontsize=16,color="magenta"];512 -> 444[label="",style="dashed", color="red", weight=0];
10.19/4.19	512[label="not (esEsOrdering LT LT)",fontsize=16,color="magenta"];513 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.19	513[label="not (esEsOrdering EQ LT)",fontsize=16,color="magenta"];514[label="vx1000",fontsize=16,color="green",shape="box"];515[label="vx1600",fontsize=16,color="green",shape="box"];}
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(6)
10.19/4.19	Complex Obligation (AND)
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(7)
10.19/4.19	Obligation:
10.19/4.19	Q DP problem:
10.19/4.19	The TRS P consists of the following rules:
10.19/4.19	
10.19/4.19	   new_primMulNat(Main.Succ(vx3000), Main.Succ(vx4100)) -> new_primMulNat(vx3000, Main.Succ(vx4100))
10.19/4.19	
10.19/4.19	R is empty.
10.19/4.19	Q is empty.
10.19/4.19	We have to consider all minimal (P,Q,R)-chains.
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(8) QDPSizeChangeProof (EQUIVALENT)
10.19/4.19	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. 
10.19/4.19	
10.19/4.19	From the DPs we obtained the following set of size-change graphs:
10.19/4.19	*new_primMulNat(Main.Succ(vx3000), Main.Succ(vx4100)) -> new_primMulNat(vx3000, Main.Succ(vx4100))
10.19/4.19	The graph contains the following edges 1 > 1, 2 >= 2
10.19/4.19	
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(9)
10.19/4.19	YES
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(10)
10.19/4.19	Obligation:
10.19/4.19	Q DP problem:
10.19/4.19	The TRS P consists of the following rules:
10.19/4.19	
10.19/4.19	   new_primPlusNat(Main.Succ(vx1400), Main.Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000)
10.19/4.19	
10.19/4.19	R is empty.
10.19/4.19	Q is empty.
10.19/4.19	We have to consider all minimal (P,Q,R)-chains.
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(11) QDPSizeChangeProof (EQUIVALENT)
10.19/4.19	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. 
10.19/4.19	
10.19/4.19	From the DPs we obtained the following set of size-change graphs:
10.19/4.19	*new_primPlusNat(Main.Succ(vx1400), Main.Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000)
10.19/4.19	The graph contains the following edges 1 > 1, 2 > 2
10.19/4.19	
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(12)
10.19/4.19	YES
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(13)
10.19/4.19	Obligation:
10.19/4.19	Q DP problem:
10.19/4.19	The TRS P consists of the following rules:
10.19/4.19	
10.19/4.19	   new_not(Main.Succ(vx1000), Main.Succ(vx1600)) -> new_not(vx1000, vx1600)
10.19/4.19	
10.19/4.19	R is empty.
10.19/4.19	Q is empty.
10.19/4.19	We have to consider all minimal (P,Q,R)-chains.
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(14) QDPSizeChangeProof (EQUIVALENT)
10.19/4.19	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. 
10.19/4.19	
10.19/4.19	From the DPs we obtained the following set of size-change graphs:
10.19/4.19	*new_not(Main.Succ(vx1000), Main.Succ(vx1600)) -> new_not(vx1000, vx1600)
10.19/4.19	The graph contains the following edges 1 > 1, 2 > 2
10.19/4.19	
10.19/4.19	
10.19/4.19	----------------------------------------
10.19/4.19	
10.19/4.19	(15)
10.19/4.19	YES
10.35/4.24	EOF