8.34/4.59	YES
10.14/5.11	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.14/5.11	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.14/5.11	
10.14/5.11	
10.14/5.11	H-Termination with start terms of the given HASKELL could be proven:
10.14/5.11	
10.14/5.11	(0) HASKELL
10.14/5.11	(1) BR [EQUIVALENT, 0 ms]
10.14/5.11	(2) HASKELL
10.14/5.11	(3) COR [EQUIVALENT, 0 ms]
10.14/5.11	(4) HASKELL
10.14/5.11	(5) Narrow [SOUND, 0 ms]
10.14/5.11	(6) AND
10.14/5.11	    (7) QDP
10.14/5.11	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.14/5.11	        (9) YES
10.14/5.11	    (10) QDP
10.14/5.11	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.14/5.11	        (12) YES
10.14/5.11	    (13) QDP
10.14/5.11	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.14/5.11	        (15) YES
10.14/5.11	
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(0)
10.14/5.11	Obligation:
10.14/5.11	mainModule Main 
10.14/5.11	module Main where {
10.14/5.11	import qualified Prelude;
10.14/5.11	data Float = Float MyInt MyInt ;
10.14/5.11	
10.14/5.11	data MyBool = MyTrue  | MyFalse ;
10.14/5.11	
10.14/5.11	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.14/5.11	
10.14/5.11	data Main.Nat = Succ Main.Nat  | Zero ;
10.14/5.11	
10.14/5.11	data Ordering = LT  | EQ  | GT ;
10.14/5.11	
10.14/5.11	compareFloat :: Float  ->  Float  ->  Ordering;
10.14/5.11	compareFloat = primCmpFloat;
10.14/5.11	
10.14/5.11	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.14/5.11	compareMyInt = primCmpInt;
10.14/5.11	
10.14/5.11	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.14/5.11	esEsOrdering LT LT = MyTrue;
10.14/5.11	esEsOrdering LT EQ = MyFalse;
10.14/5.11	esEsOrdering LT GT = MyFalse;
10.14/5.11	esEsOrdering EQ LT = MyFalse;
10.14/5.11	esEsOrdering EQ EQ = MyTrue;
10.14/5.11	esEsOrdering EQ GT = MyFalse;
10.14/5.11	esEsOrdering GT LT = MyFalse;
10.14/5.11	esEsOrdering GT EQ = MyFalse;
10.14/5.11	esEsOrdering GT GT = MyTrue;
10.14/5.11	
10.14/5.11	ltFloat :: Float  ->  Float  ->  MyBool;
10.14/5.11	ltFloat x y = esEsOrdering (compareFloat x y) LT;
10.14/5.11	
10.14/5.11	primCmpFloat :: Float  ->  Float  ->  Ordering;
10.14/5.11	primCmpFloat (Float x1 x2) (Float y1 y2) = compareMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.14/5.11	
10.14/5.11	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.14/5.11	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.14/5.11	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.14/5.11	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.14/5.11	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.14/5.11	
10.14/5.11	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.14/5.11	primCmpNat Main.Zero Main.Zero = EQ;
10.14/5.11	primCmpNat Main.Zero (Main.Succ y) = LT;
10.14/5.11	primCmpNat (Main.Succ x) Main.Zero = GT;
10.14/5.11	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.14/5.11	
10.14/5.11	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.14/5.11	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.14/5.11	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.14/5.11	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.14/5.11	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.14/5.11	
10.14/5.11	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.14/5.11	primMulNat Main.Zero Main.Zero = Main.Zero;
10.14/5.11	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.14/5.11	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.14/5.11	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.14/5.11	
10.14/5.11	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.14/5.11	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.14/5.11	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.14/5.11	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.14/5.11	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.14/5.11	
10.14/5.11	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.14/5.11	srMyInt = primMulInt;
10.14/5.11	
10.14/5.11	}
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(1) BR (EQUIVALENT)
10.14/5.11	Replaced joker patterns by fresh variables and removed binding patterns.
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(2)
10.14/5.11	Obligation:
10.14/5.11	mainModule Main 
10.14/5.11	module Main where {
10.14/5.11	import qualified Prelude;
10.14/5.11	data Float = Float MyInt MyInt ;
10.14/5.11	
10.14/5.11	data MyBool = MyTrue  | MyFalse ;
10.14/5.11	
10.14/5.11	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.14/5.11	
10.14/5.11	data Main.Nat = Succ Main.Nat  | Zero ;
10.14/5.11	
10.14/5.11	data Ordering = LT  | EQ  | GT ;
10.14/5.11	
10.14/5.11	compareFloat :: Float  ->  Float  ->  Ordering;
10.14/5.11	compareFloat = primCmpFloat;
10.14/5.11	
10.14/5.11	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.14/5.11	compareMyInt = primCmpInt;
10.14/5.11	
10.14/5.11	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.14/5.11	esEsOrdering LT LT = MyTrue;
10.14/5.11	esEsOrdering LT EQ = MyFalse;
10.14/5.11	esEsOrdering LT GT = MyFalse;
10.14/5.11	esEsOrdering EQ LT = MyFalse;
10.14/5.11	esEsOrdering EQ EQ = MyTrue;
10.14/5.11	esEsOrdering EQ GT = MyFalse;
10.14/5.11	esEsOrdering GT LT = MyFalse;
10.14/5.11	esEsOrdering GT EQ = MyFalse;
10.14/5.11	esEsOrdering GT GT = MyTrue;
10.14/5.11	
10.14/5.11	ltFloat :: Float  ->  Float  ->  MyBool;
10.14/5.11	ltFloat x y = esEsOrdering (compareFloat x y) LT;
10.14/5.11	
10.14/5.11	primCmpFloat :: Float  ->  Float  ->  Ordering;
10.14/5.11	primCmpFloat (Float x1 x2) (Float y1 y2) = compareMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.14/5.11	
10.14/5.11	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.14/5.11	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.14/5.11	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.14/5.11	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.14/5.11	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.14/5.11	
10.14/5.11	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.14/5.11	primCmpNat Main.Zero Main.Zero = EQ;
10.14/5.11	primCmpNat Main.Zero (Main.Succ y) = LT;
10.14/5.11	primCmpNat (Main.Succ x) Main.Zero = GT;
10.14/5.11	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.14/5.11	
10.14/5.11	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.14/5.11	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.14/5.11	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.14/5.11	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.14/5.11	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.14/5.11	
10.14/5.11	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.14/5.11	primMulNat Main.Zero Main.Zero = Main.Zero;
10.14/5.11	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.14/5.11	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.14/5.11	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.14/5.11	
10.14/5.11	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.14/5.11	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.14/5.11	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.14/5.11	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.14/5.11	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.14/5.11	
10.14/5.11	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.14/5.11	srMyInt = primMulInt;
10.14/5.11	
10.14/5.11	}
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(3) COR (EQUIVALENT)
10.14/5.11	Cond Reductions:
10.14/5.11	The following Function with conditions
10.14/5.11	"undefined |Falseundefined;
10.14/5.11	"
10.14/5.11	is transformed to
10.14/5.11	"undefined  = undefined1;
10.14/5.11	"
10.14/5.11	"undefined0 True = undefined;
10.14/5.11	"
10.14/5.11	"undefined1  = undefined0 False;
10.14/5.11	"
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(4)
10.14/5.11	Obligation:
10.14/5.11	mainModule Main 
10.14/5.11	module Main where {
10.14/5.11	import qualified Prelude;
10.14/5.11	data Float = Float MyInt MyInt ;
10.14/5.11	
10.14/5.11	data MyBool = MyTrue  | MyFalse ;
10.14/5.11	
10.14/5.11	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.14/5.11	
10.14/5.11	data Main.Nat = Succ Main.Nat  | Zero ;
10.14/5.11	
10.14/5.11	data Ordering = LT  | EQ  | GT ;
10.14/5.11	
10.14/5.11	compareFloat :: Float  ->  Float  ->  Ordering;
10.14/5.11	compareFloat = primCmpFloat;
10.14/5.11	
10.14/5.11	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.14/5.11	compareMyInt = primCmpInt;
10.14/5.11	
10.14/5.11	esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.14/5.11	esEsOrdering LT LT = MyTrue;
10.14/5.11	esEsOrdering LT EQ = MyFalse;
10.14/5.11	esEsOrdering LT GT = MyFalse;
10.14/5.11	esEsOrdering EQ LT = MyFalse;
10.14/5.11	esEsOrdering EQ EQ = MyTrue;
10.14/5.11	esEsOrdering EQ GT = MyFalse;
10.14/5.11	esEsOrdering GT LT = MyFalse;
10.14/5.11	esEsOrdering GT EQ = MyFalse;
10.14/5.11	esEsOrdering GT GT = MyTrue;
10.14/5.11	
10.14/5.11	ltFloat :: Float  ->  Float  ->  MyBool;
10.14/5.11	ltFloat x y = esEsOrdering (compareFloat x y) LT;
10.14/5.11	
10.14/5.11	primCmpFloat :: Float  ->  Float  ->  Ordering;
10.14/5.11	primCmpFloat (Float x1 x2) (Float y1 y2) = compareMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.14/5.11	
10.14/5.11	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.14/5.11	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.14/5.11	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.14/5.11	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.14/5.11	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.14/5.11	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.14/5.11	
10.14/5.11	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.14/5.11	primCmpNat Main.Zero Main.Zero = EQ;
10.14/5.11	primCmpNat Main.Zero (Main.Succ y) = LT;
10.14/5.11	primCmpNat (Main.Succ x) Main.Zero = GT;
10.14/5.11	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.14/5.11	
10.14/5.11	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.14/5.11	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.14/5.11	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.14/5.11	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.14/5.11	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.14/5.11	
10.14/5.11	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.14/5.11	primMulNat Main.Zero Main.Zero = Main.Zero;
10.14/5.11	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.14/5.11	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.14/5.11	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.14/5.11	
10.14/5.11	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.14/5.11	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.14/5.11	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.14/5.11	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.14/5.11	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.14/5.11	
10.14/5.11	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.14/5.11	srMyInt = primMulInt;
10.14/5.11	
10.14/5.11	}
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(5) Narrow (SOUND)
10.14/5.11	Haskell To QDPs
10.14/5.11	
10.14/5.11	digraph dp_graph {
10.14/5.11	node [outthreshold=100, inthreshold=100];1[label="ltFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.14/5.11	3[label="ltFloat vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
10.14/5.11	4[label="ltFloat vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.14/5.11	5[label="esEsOrdering (compareFloat vx3 vx4) LT",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.14/5.11	6[label="esEsOrdering (primCmpFloat vx3 vx4) LT",fontsize=16,color="burlywood",shape="box"];512[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];6 -> 512[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	512 -> 7[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	7[label="esEsOrdering (primCmpFloat (Float vx30 vx31) vx4) LT",fontsize=16,color="burlywood",shape="box"];513[label="vx4/Float vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];7 -> 513[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	513 -> 8[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	8[label="esEsOrdering (primCmpFloat (Float vx30 vx31) (Float vx40 vx41)) LT",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
10.14/5.11	9[label="esEsOrdering (compareMyInt (srMyInt vx30 vx40) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10.14/5.11	10[label="esEsOrdering (primCmpInt (srMyInt vx30 vx40) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3];
10.14/5.11	11[label="esEsOrdering (primCmpInt (primMulInt vx30 vx40) (srMyInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="box"];514[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];11 -> 514[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	514 -> 12[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	515[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];11 -> 515[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	515 -> 13[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	12[label="esEsOrdering (primCmpInt (primMulInt (Pos vx300) vx40) (srMyInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="box"];516[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];12 -> 516[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	516 -> 14[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	517[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];12 -> 517[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	517 -> 15[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	13[label="esEsOrdering (primCmpInt (primMulInt (Neg vx300) vx40) (srMyInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="box"];518[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];13 -> 518[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	518 -> 16[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	519[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];13 -> 519[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	519 -> 17[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	14[label="esEsOrdering (primCmpInt (primMulInt (Pos vx300) (Pos vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
10.14/5.11	15[label="esEsOrdering (primCmpInt (primMulInt (Pos vx300) (Neg vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
10.14/5.11	16[label="esEsOrdering (primCmpInt (primMulInt (Neg vx300) (Pos vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
10.14/5.11	17[label="esEsOrdering (primCmpInt (primMulInt (Neg vx300) (Neg vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
10.14/5.11	18 -> 268[label="",style="dashed", color="red", weight=0];
10.14/5.11	18[label="esEsOrdering (primCmpInt (Pos (primMulNat vx300 vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="magenta"];18 -> 269[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	19 -> 344[label="",style="dashed", color="red", weight=0];
10.14/5.11	19[label="esEsOrdering (primCmpInt (Neg (primMulNat vx300 vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="magenta"];19 -> 345[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	20 -> 344[label="",style="dashed", color="red", weight=0];
10.14/5.11	20[label="esEsOrdering (primCmpInt (Neg (primMulNat vx300 vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="magenta"];20 -> 346[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	21 -> 268[label="",style="dashed", color="red", weight=0];
10.14/5.11	21[label="esEsOrdering (primCmpInt (Pos (primMulNat vx300 vx400)) (srMyInt vx31 vx41)) LT",fontsize=16,color="magenta"];21 -> 270[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	269[label="primMulNat vx300 vx400",fontsize=16,color="burlywood",shape="triangle"];520[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];269 -> 520[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	520 -> 281[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	521[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];269 -> 521[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	521 -> 282[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	268[label="esEsOrdering (primCmpInt (Pos vx10) (srMyInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="triangle"];522[label="vx10/Succ vx100",fontsize=10,color="white",style="solid",shape="box"];268 -> 522[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	522 -> 283[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	523[label="vx10/Zero",fontsize=10,color="white",style="solid",shape="box"];268 -> 523[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	523 -> 284[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	345 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	345[label="primMulNat vx300 vx400",fontsize=16,color="magenta"];345 -> 357[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	344[label="esEsOrdering (primCmpInt (Neg vx15) (srMyInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="triangle"];524[label="vx15/Succ vx150",fontsize=10,color="white",style="solid",shape="box"];344 -> 524[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	524 -> 358[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	525[label="vx15/Zero",fontsize=10,color="white",style="solid",shape="box"];344 -> 525[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	525 -> 359[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	346 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	346[label="primMulNat vx300 vx400",fontsize=16,color="magenta"];346 -> 360[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	270 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	270[label="primMulNat vx300 vx400",fontsize=16,color="magenta"];270 -> 285[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	270 -> 286[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	281[label="primMulNat (Succ vx3000) vx400",fontsize=16,color="burlywood",shape="box"];526[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];281 -> 526[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	526 -> 301[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	527[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];281 -> 527[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	527 -> 302[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	282[label="primMulNat Zero vx400",fontsize=16,color="burlywood",shape="box"];528[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];282 -> 528[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	528 -> 303[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	529[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];282 -> 529[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	529 -> 304[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	283[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];283 -> 305[label="",style="solid", color="black", weight=3];
10.14/5.11	284[label="esEsOrdering (primCmpInt (Pos Zero) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];284 -> 306[label="",style="solid", color="black", weight=3];
10.14/5.11	357[label="vx400",fontsize=16,color="green",shape="box"];358[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];358 -> 371[label="",style="solid", color="black", weight=3];
10.14/5.11	359[label="esEsOrdering (primCmpInt (Neg Zero) (srMyInt vx31 vx41)) LT",fontsize=16,color="black",shape="box"];359 -> 372[label="",style="solid", color="black", weight=3];
10.14/5.11	360[label="vx300",fontsize=16,color="green",shape="box"];285[label="vx400",fontsize=16,color="green",shape="box"];286[label="vx300",fontsize=16,color="green",shape="box"];301[label="primMulNat (Succ vx3000) (Succ vx4000)",fontsize=16,color="black",shape="box"];301 -> 317[label="",style="solid", color="black", weight=3];
10.14/5.11	302[label="primMulNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];302 -> 318[label="",style="solid", color="black", weight=3];
10.14/5.11	303[label="primMulNat Zero (Succ vx4000)",fontsize=16,color="black",shape="box"];303 -> 319[label="",style="solid", color="black", weight=3];
10.14/5.11	304[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];304 -> 320[label="",style="solid", color="black", weight=3];
10.14/5.11	305[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="box"];530[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];305 -> 530[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	530 -> 321[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	531[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];305 -> 531[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	531 -> 322[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	306[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="box"];532[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];306 -> 532[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	532 -> 323[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	533[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];306 -> 533[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	533 -> 324[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	371[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="box"];534[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];371 -> 534[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	534 -> 376[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	535[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];371 -> 535[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	535 -> 377[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	372[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt vx31 vx41)) LT",fontsize=16,color="burlywood",shape="box"];536[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];372 -> 536[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	536 -> 378[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	537[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];372 -> 537[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	537 -> 379[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	317 -> 330[label="",style="dashed", color="red", weight=0];
10.14/5.11	317[label="primPlusNat (primMulNat vx3000 (Succ vx4000)) (Succ vx4000)",fontsize=16,color="magenta"];317 -> 331[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	318[label="Zero",fontsize=16,color="green",shape="box"];319[label="Zero",fontsize=16,color="green",shape="box"];320[label="Zero",fontsize=16,color="green",shape="box"];321[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];538[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];321 -> 538[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	538 -> 332[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	539[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];321 -> 539[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	539 -> 333[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	322[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];540[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];322 -> 540[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	540 -> 334[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	541[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];322 -> 541[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	541 -> 335[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	323[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];542[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];323 -> 542[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	542 -> 336[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	543[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];323 -> 543[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	543 -> 337[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	324[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];544[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];324 -> 544[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	544 -> 338[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	545[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];324 -> 545[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	545 -> 339[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	376[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];546[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];376 -> 546[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	546 -> 383[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	547[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];376 -> 547[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	547 -> 384[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	377[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];548[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];377 -> 548[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	548 -> 385[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	549[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];377 -> 549[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	549 -> 386[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	378[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];550[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];378 -> 550[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	550 -> 387[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	551[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];378 -> 551[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	551 -> 388[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	379[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx310) vx41)) LT",fontsize=16,color="burlywood",shape="box"];552[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];379 -> 552[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	552 -> 389[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	553[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];379 -> 553[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	553 -> 390[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	331 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	331[label="primMulNat vx3000 (Succ vx4000)",fontsize=16,color="magenta"];331 -> 340[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	331 -> 341[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	330[label="primPlusNat vx14 (Succ vx4000)",fontsize=16,color="burlywood",shape="triangle"];554[label="vx14/Succ vx140",fontsize=10,color="white",style="solid",shape="box"];330 -> 554[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	554 -> 342[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	555[label="vx14/Zero",fontsize=10,color="white",style="solid",shape="box"];330 -> 555[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	555 -> 343[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	332[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];332 -> 361[label="",style="solid", color="black", weight=3];
10.14/5.11	333[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];333 -> 362[label="",style="solid", color="black", weight=3];
10.14/5.11	334[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];334 -> 363[label="",style="solid", color="black", weight=3];
10.14/5.11	335[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];335 -> 364[label="",style="solid", color="black", weight=3];
10.14/5.11	336[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];336 -> 365[label="",style="solid", color="black", weight=3];
10.14/5.11	337[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];337 -> 366[label="",style="solid", color="black", weight=3];
10.14/5.11	338[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];338 -> 367[label="",style="solid", color="black", weight=3];
10.14/5.11	339[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];339 -> 368[label="",style="solid", color="black", weight=3];
10.14/5.11	383[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];383 -> 394[label="",style="solid", color="black", weight=3];
10.14/5.11	384[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];384 -> 395[label="",style="solid", color="black", weight=3];
10.14/5.11	385[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];385 -> 396[label="",style="solid", color="black", weight=3];
10.14/5.11	386[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];386 -> 397[label="",style="solid", color="black", weight=3];
10.14/5.11	387[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];387 -> 398[label="",style="solid", color="black", weight=3];
10.14/5.11	388[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];388 -> 399[label="",style="solid", color="black", weight=3];
10.14/5.11	389[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx310) (Pos vx410))) LT",fontsize=16,color="black",shape="box"];389 -> 400[label="",style="solid", color="black", weight=3];
10.14/5.11	390[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx310) (Neg vx410))) LT",fontsize=16,color="black",shape="box"];390 -> 401[label="",style="solid", color="black", weight=3];
10.14/5.11	340[label="Succ vx4000",fontsize=16,color="green",shape="box"];341[label="vx3000",fontsize=16,color="green",shape="box"];342[label="primPlusNat (Succ vx140) (Succ vx4000)",fontsize=16,color="black",shape="box"];342 -> 369[label="",style="solid", color="black", weight=3];
10.14/5.11	343[label="primPlusNat Zero (Succ vx4000)",fontsize=16,color="black",shape="box"];343 -> 370[label="",style="solid", color="black", weight=3];
10.14/5.11	361 -> 373[label="",style="dashed", color="red", weight=0];
10.14/5.11	361[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];361 -> 374[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	362 -> 380[label="",style="dashed", color="red", weight=0];
10.14/5.11	362[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];362 -> 381[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	363 -> 380[label="",style="dashed", color="red", weight=0];
10.14/5.11	363[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];363 -> 382[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	364 -> 373[label="",style="dashed", color="red", weight=0];
10.14/5.11	364[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];364 -> 375[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	365 -> 391[label="",style="dashed", color="red", weight=0];
10.14/5.11	365[label="esEsOrdering (primCmpInt (Pos Zero) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];365 -> 392[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	366 -> 402[label="",style="dashed", color="red", weight=0];
10.14/5.11	366[label="esEsOrdering (primCmpInt (Pos Zero) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];366 -> 403[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	367 -> 402[label="",style="dashed", color="red", weight=0];
10.14/5.11	367[label="esEsOrdering (primCmpInt (Pos Zero) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];367 -> 404[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	368 -> 391[label="",style="dashed", color="red", weight=0];
10.14/5.11	368[label="esEsOrdering (primCmpInt (Pos Zero) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];368 -> 393[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	394 -> 405[label="",style="dashed", color="red", weight=0];
10.14/5.11	394[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];394 -> 406[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	395 -> 408[label="",style="dashed", color="red", weight=0];
10.14/5.11	395[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];395 -> 409[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	396 -> 408[label="",style="dashed", color="red", weight=0];
10.14/5.11	396[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];396 -> 410[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	397 -> 405[label="",style="dashed", color="red", weight=0];
10.14/5.11	397[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];397 -> 407[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	398 -> 411[label="",style="dashed", color="red", weight=0];
10.14/5.11	398[label="esEsOrdering (primCmpInt (Neg Zero) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];398 -> 412[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	399 -> 414[label="",style="dashed", color="red", weight=0];
10.14/5.11	399[label="esEsOrdering (primCmpInt (Neg Zero) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];399 -> 415[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	400 -> 414[label="",style="dashed", color="red", weight=0];
10.14/5.11	400[label="esEsOrdering (primCmpInt (Neg Zero) (Neg (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];400 -> 416[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	401 -> 411[label="",style="dashed", color="red", weight=0];
10.14/5.11	401[label="esEsOrdering (primCmpInt (Neg Zero) (Pos (primMulNat vx310 vx410))) LT",fontsize=16,color="magenta"];401 -> 413[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	369[label="Succ (Succ (primPlusNat vx140 vx4000))",fontsize=16,color="green",shape="box"];369 -> 417[label="",style="dashed", color="green", weight=3];
10.14/5.11	370[label="Succ vx4000",fontsize=16,color="green",shape="box"];374 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	374[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];374 -> 418[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	374 -> 419[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	373[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos vx16)) LT",fontsize=16,color="black",shape="triangle"];373 -> 420[label="",style="solid", color="black", weight=3];
10.14/5.11	381 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	381[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];381 -> 421[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	381 -> 422[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	380[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg vx17)) LT",fontsize=16,color="black",shape="triangle"];380 -> 423[label="",style="solid", color="black", weight=3];
10.14/5.11	382 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	382[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];382 -> 424[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	382 -> 425[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	375 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	375[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];375 -> 426[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	375 -> 427[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	392 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	392[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];392 -> 428[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	392 -> 429[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	391[label="esEsOrdering (primCmpInt (Pos Zero) (Pos vx18)) LT",fontsize=16,color="burlywood",shape="triangle"];556[label="vx18/Succ vx180",fontsize=10,color="white",style="solid",shape="box"];391 -> 556[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	556 -> 430[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	557[label="vx18/Zero",fontsize=10,color="white",style="solid",shape="box"];391 -> 557[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	557 -> 431[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	403 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	403[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];403 -> 432[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	403 -> 433[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	402[label="esEsOrdering (primCmpInt (Pos Zero) (Neg vx19)) LT",fontsize=16,color="burlywood",shape="triangle"];558[label="vx19/Succ vx190",fontsize=10,color="white",style="solid",shape="box"];402 -> 558[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	558 -> 434[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	559[label="vx19/Zero",fontsize=10,color="white",style="solid",shape="box"];402 -> 559[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	559 -> 435[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	404 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	404[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];404 -> 436[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	404 -> 437[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	393 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	393[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];393 -> 438[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	393 -> 439[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	406 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	406[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];406 -> 440[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	406 -> 441[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	405[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos vx20)) LT",fontsize=16,color="black",shape="triangle"];405 -> 442[label="",style="solid", color="black", weight=3];
10.14/5.11	409 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	409[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];409 -> 443[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	409 -> 444[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	408[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg vx21)) LT",fontsize=16,color="black",shape="triangle"];408 -> 445[label="",style="solid", color="black", weight=3];
10.14/5.11	410 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	410[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];410 -> 446[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	410 -> 447[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	407 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	407[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];407 -> 448[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	407 -> 449[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	412 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	412[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];412 -> 450[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	412 -> 451[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	411[label="esEsOrdering (primCmpInt (Neg Zero) (Pos vx22)) LT",fontsize=16,color="burlywood",shape="triangle"];560[label="vx22/Succ vx220",fontsize=10,color="white",style="solid",shape="box"];411 -> 560[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	560 -> 452[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	561[label="vx22/Zero",fontsize=10,color="white",style="solid",shape="box"];411 -> 561[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	561 -> 453[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	415 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	415[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];415 -> 454[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	415 -> 455[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	414[label="esEsOrdering (primCmpInt (Neg Zero) (Neg vx23)) LT",fontsize=16,color="burlywood",shape="triangle"];562[label="vx23/Succ vx230",fontsize=10,color="white",style="solid",shape="box"];414 -> 562[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	562 -> 456[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	563[label="vx23/Zero",fontsize=10,color="white",style="solid",shape="box"];414 -> 563[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	563 -> 457[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	416 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	416[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];416 -> 458[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	416 -> 459[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	413 -> 269[label="",style="dashed", color="red", weight=0];
10.14/5.11	413[label="primMulNat vx310 vx410",fontsize=16,color="magenta"];413 -> 460[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	413 -> 461[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	417[label="primPlusNat vx140 vx4000",fontsize=16,color="burlywood",shape="triangle"];564[label="vx140/Succ vx1400",fontsize=10,color="white",style="solid",shape="box"];417 -> 564[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	564 -> 462[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	565[label="vx140/Zero",fontsize=10,color="white",style="solid",shape="box"];417 -> 565[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	565 -> 463[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	418[label="vx410",fontsize=16,color="green",shape="box"];419[label="vx310",fontsize=16,color="green",shape="box"];420[label="esEsOrdering (primCmpNat (Succ vx100) vx16) LT",fontsize=16,color="burlywood",shape="triangle"];566[label="vx16/Succ vx160",fontsize=10,color="white",style="solid",shape="box"];420 -> 566[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	566 -> 464[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	567[label="vx16/Zero",fontsize=10,color="white",style="solid",shape="box"];420 -> 567[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	567 -> 465[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	421[label="vx410",fontsize=16,color="green",shape="box"];422[label="vx310",fontsize=16,color="green",shape="box"];423[label="esEsOrdering GT LT",fontsize=16,color="black",shape="triangle"];423 -> 466[label="",style="solid", color="black", weight=3];
10.14/5.11	424[label="vx410",fontsize=16,color="green",shape="box"];425[label="vx310",fontsize=16,color="green",shape="box"];426[label="vx410",fontsize=16,color="green",shape="box"];427[label="vx310",fontsize=16,color="green",shape="box"];428[label="vx410",fontsize=16,color="green",shape="box"];429[label="vx310",fontsize=16,color="green",shape="box"];430[label="esEsOrdering (primCmpInt (Pos Zero) (Pos (Succ vx180))) LT",fontsize=16,color="black",shape="box"];430 -> 467[label="",style="solid", color="black", weight=3];
10.14/5.11	431[label="esEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) LT",fontsize=16,color="black",shape="box"];431 -> 468[label="",style="solid", color="black", weight=3];
10.14/5.11	432[label="vx410",fontsize=16,color="green",shape="box"];433[label="vx310",fontsize=16,color="green",shape="box"];434[label="esEsOrdering (primCmpInt (Pos Zero) (Neg (Succ vx190))) LT",fontsize=16,color="black",shape="box"];434 -> 469[label="",style="solid", color="black", weight=3];
10.14/5.11	435[label="esEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) LT",fontsize=16,color="black",shape="box"];435 -> 470[label="",style="solid", color="black", weight=3];
10.14/5.11	436[label="vx410",fontsize=16,color="green",shape="box"];437[label="vx310",fontsize=16,color="green",shape="box"];438[label="vx410",fontsize=16,color="green",shape="box"];439[label="vx310",fontsize=16,color="green",shape="box"];440[label="vx410",fontsize=16,color="green",shape="box"];441[label="vx310",fontsize=16,color="green",shape="box"];442[label="esEsOrdering LT LT",fontsize=16,color="black",shape="triangle"];442 -> 471[label="",style="solid", color="black", weight=3];
10.14/5.11	443[label="vx410",fontsize=16,color="green",shape="box"];444[label="vx310",fontsize=16,color="green",shape="box"];445[label="esEsOrdering (primCmpNat vx21 (Succ vx150)) LT",fontsize=16,color="burlywood",shape="triangle"];568[label="vx21/Succ vx210",fontsize=10,color="white",style="solid",shape="box"];445 -> 568[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	568 -> 472[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	569[label="vx21/Zero",fontsize=10,color="white",style="solid",shape="box"];445 -> 569[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	569 -> 473[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	446[label="vx410",fontsize=16,color="green",shape="box"];447[label="vx310",fontsize=16,color="green",shape="box"];448[label="vx410",fontsize=16,color="green",shape="box"];449[label="vx310",fontsize=16,color="green",shape="box"];450[label="vx410",fontsize=16,color="green",shape="box"];451[label="vx310",fontsize=16,color="green",shape="box"];452[label="esEsOrdering (primCmpInt (Neg Zero) (Pos (Succ vx220))) LT",fontsize=16,color="black",shape="box"];452 -> 474[label="",style="solid", color="black", weight=3];
10.14/5.11	453[label="esEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) LT",fontsize=16,color="black",shape="box"];453 -> 475[label="",style="solid", color="black", weight=3];
10.14/5.11	454[label="vx410",fontsize=16,color="green",shape="box"];455[label="vx310",fontsize=16,color="green",shape="box"];456[label="esEsOrdering (primCmpInt (Neg Zero) (Neg (Succ vx230))) LT",fontsize=16,color="black",shape="box"];456 -> 476[label="",style="solid", color="black", weight=3];
10.14/5.11	457[label="esEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) LT",fontsize=16,color="black",shape="box"];457 -> 477[label="",style="solid", color="black", weight=3];
10.14/5.11	458[label="vx410",fontsize=16,color="green",shape="box"];459[label="vx310",fontsize=16,color="green",shape="box"];460[label="vx410",fontsize=16,color="green",shape="box"];461[label="vx310",fontsize=16,color="green",shape="box"];462[label="primPlusNat (Succ vx1400) vx4000",fontsize=16,color="burlywood",shape="box"];570[label="vx4000/Succ vx40000",fontsize=10,color="white",style="solid",shape="box"];462 -> 570[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	570 -> 478[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	571[label="vx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];462 -> 571[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	571 -> 479[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	463[label="primPlusNat Zero vx4000",fontsize=16,color="burlywood",shape="box"];572[label="vx4000/Succ vx40000",fontsize=10,color="white",style="solid",shape="box"];463 -> 572[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	572 -> 480[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	573[label="vx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];463 -> 573[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	573 -> 481[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	464[label="esEsOrdering (primCmpNat (Succ vx100) (Succ vx160)) LT",fontsize=16,color="black",shape="box"];464 -> 482[label="",style="solid", color="black", weight=3];
10.14/5.11	465[label="esEsOrdering (primCmpNat (Succ vx100) Zero) LT",fontsize=16,color="black",shape="box"];465 -> 483[label="",style="solid", color="black", weight=3];
10.14/5.11	466[label="MyFalse",fontsize=16,color="green",shape="box"];467 -> 445[label="",style="dashed", color="red", weight=0];
10.14/5.11	467[label="esEsOrdering (primCmpNat Zero (Succ vx180)) LT",fontsize=16,color="magenta"];467 -> 484[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	467 -> 485[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	468[label="esEsOrdering EQ LT",fontsize=16,color="black",shape="triangle"];468 -> 486[label="",style="solid", color="black", weight=3];
10.14/5.11	469 -> 423[label="",style="dashed", color="red", weight=0];
10.14/5.11	469[label="esEsOrdering GT LT",fontsize=16,color="magenta"];470 -> 468[label="",style="dashed", color="red", weight=0];
10.14/5.11	470[label="esEsOrdering EQ LT",fontsize=16,color="magenta"];471[label="MyTrue",fontsize=16,color="green",shape="box"];472[label="esEsOrdering (primCmpNat (Succ vx210) (Succ vx150)) LT",fontsize=16,color="black",shape="box"];472 -> 487[label="",style="solid", color="black", weight=3];
10.14/5.11	473[label="esEsOrdering (primCmpNat Zero (Succ vx150)) LT",fontsize=16,color="black",shape="box"];473 -> 488[label="",style="solid", color="black", weight=3];
10.14/5.11	474 -> 442[label="",style="dashed", color="red", weight=0];
10.14/5.11	474[label="esEsOrdering LT LT",fontsize=16,color="magenta"];475 -> 468[label="",style="dashed", color="red", weight=0];
10.14/5.11	475[label="esEsOrdering EQ LT",fontsize=16,color="magenta"];476 -> 420[label="",style="dashed", color="red", weight=0];
10.14/5.11	476[label="esEsOrdering (primCmpNat (Succ vx230) Zero) LT",fontsize=16,color="magenta"];476 -> 489[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	476 -> 490[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	477 -> 468[label="",style="dashed", color="red", weight=0];
10.14/5.11	477[label="esEsOrdering EQ LT",fontsize=16,color="magenta"];478[label="primPlusNat (Succ vx1400) (Succ vx40000)",fontsize=16,color="black",shape="box"];478 -> 491[label="",style="solid", color="black", weight=3];
10.14/5.11	479[label="primPlusNat (Succ vx1400) Zero",fontsize=16,color="black",shape="box"];479 -> 492[label="",style="solid", color="black", weight=3];
10.14/5.11	480[label="primPlusNat Zero (Succ vx40000)",fontsize=16,color="black",shape="box"];480 -> 493[label="",style="solid", color="black", weight=3];
10.14/5.11	481[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];481 -> 494[label="",style="solid", color="black", weight=3];
10.14/5.11	482[label="esEsOrdering (primCmpNat vx100 vx160) LT",fontsize=16,color="burlywood",shape="triangle"];574[label="vx100/Succ vx1000",fontsize=10,color="white",style="solid",shape="box"];482 -> 574[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	574 -> 495[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	575[label="vx100/Zero",fontsize=10,color="white",style="solid",shape="box"];482 -> 575[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	575 -> 496[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	483 -> 423[label="",style="dashed", color="red", weight=0];
10.14/5.11	483[label="esEsOrdering GT LT",fontsize=16,color="magenta"];484[label="vx180",fontsize=16,color="green",shape="box"];485[label="Zero",fontsize=16,color="green",shape="box"];486[label="MyFalse",fontsize=16,color="green",shape="box"];487 -> 482[label="",style="dashed", color="red", weight=0];
10.14/5.11	487[label="esEsOrdering (primCmpNat vx210 vx150) LT",fontsize=16,color="magenta"];487 -> 497[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	487 -> 498[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	488 -> 442[label="",style="dashed", color="red", weight=0];
10.14/5.11	488[label="esEsOrdering LT LT",fontsize=16,color="magenta"];489[label="vx230",fontsize=16,color="green",shape="box"];490[label="Zero",fontsize=16,color="green",shape="box"];491[label="Succ (Succ (primPlusNat vx1400 vx40000))",fontsize=16,color="green",shape="box"];491 -> 499[label="",style="dashed", color="green", weight=3];
10.14/5.11	492[label="Succ vx1400",fontsize=16,color="green",shape="box"];493[label="Succ vx40000",fontsize=16,color="green",shape="box"];494[label="Zero",fontsize=16,color="green",shape="box"];495[label="esEsOrdering (primCmpNat (Succ vx1000) vx160) LT",fontsize=16,color="burlywood",shape="box"];576[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];495 -> 576[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	576 -> 500[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	577[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];495 -> 577[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	577 -> 501[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	496[label="esEsOrdering (primCmpNat Zero vx160) LT",fontsize=16,color="burlywood",shape="box"];578[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];496 -> 578[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	578 -> 502[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	579[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];496 -> 579[label="",style="solid", color="burlywood", weight=9];
10.14/5.11	579 -> 503[label="",style="solid", color="burlywood", weight=3];
10.14/5.11	497[label="vx210",fontsize=16,color="green",shape="box"];498[label="vx150",fontsize=16,color="green",shape="box"];499 -> 417[label="",style="dashed", color="red", weight=0];
10.14/5.11	499[label="primPlusNat vx1400 vx40000",fontsize=16,color="magenta"];499 -> 504[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	499 -> 505[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	500[label="esEsOrdering (primCmpNat (Succ vx1000) (Succ vx1600)) LT",fontsize=16,color="black",shape="box"];500 -> 506[label="",style="solid", color="black", weight=3];
10.14/5.11	501[label="esEsOrdering (primCmpNat (Succ vx1000) Zero) LT",fontsize=16,color="black",shape="box"];501 -> 507[label="",style="solid", color="black", weight=3];
10.14/5.11	502[label="esEsOrdering (primCmpNat Zero (Succ vx1600)) LT",fontsize=16,color="black",shape="box"];502 -> 508[label="",style="solid", color="black", weight=3];
10.14/5.11	503[label="esEsOrdering (primCmpNat Zero Zero) LT",fontsize=16,color="black",shape="box"];503 -> 509[label="",style="solid", color="black", weight=3];
10.14/5.11	504[label="vx40000",fontsize=16,color="green",shape="box"];505[label="vx1400",fontsize=16,color="green",shape="box"];506 -> 482[label="",style="dashed", color="red", weight=0];
10.14/5.11	506[label="esEsOrdering (primCmpNat vx1000 vx1600) LT",fontsize=16,color="magenta"];506 -> 510[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	506 -> 511[label="",style="dashed", color="magenta", weight=3];
10.14/5.11	507 -> 423[label="",style="dashed", color="red", weight=0];
10.14/5.11	507[label="esEsOrdering GT LT",fontsize=16,color="magenta"];508 -> 442[label="",style="dashed", color="red", weight=0];
10.14/5.11	508[label="esEsOrdering LT LT",fontsize=16,color="magenta"];509 -> 468[label="",style="dashed", color="red", weight=0];
10.14/5.11	509[label="esEsOrdering EQ LT",fontsize=16,color="magenta"];510[label="vx1000",fontsize=16,color="green",shape="box"];511[label="vx1600",fontsize=16,color="green",shape="box"];}
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(6)
10.14/5.11	Complex Obligation (AND)
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(7)
10.14/5.11	Obligation:
10.14/5.11	Q DP problem:
10.14/5.11	The TRS P consists of the following rules:
10.14/5.11	
10.14/5.11	   new_primMulNat(Main.Succ(vx3000), Main.Succ(vx4000)) -> new_primMulNat(vx3000, Main.Succ(vx4000))
10.14/5.11	
10.14/5.11	R is empty.
10.14/5.11	Q is empty.
10.14/5.11	We have to consider all minimal (P,Q,R)-chains.
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(8) QDPSizeChangeProof (EQUIVALENT)
10.14/5.11	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. 
10.14/5.11	
10.14/5.11	From the DPs we obtained the following set of size-change graphs:
10.14/5.11	*new_primMulNat(Main.Succ(vx3000), Main.Succ(vx4000)) -> new_primMulNat(vx3000, Main.Succ(vx4000))
10.14/5.11	The graph contains the following edges 1 > 1, 2 >= 2
10.14/5.11	
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(9)
10.14/5.11	YES
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(10)
10.14/5.11	Obligation:
10.14/5.11	Q DP problem:
10.14/5.11	The TRS P consists of the following rules:
10.14/5.11	
10.14/5.11	   new_esEsOrdering(Main.Succ(vx1000), Main.Succ(vx1600)) -> new_esEsOrdering(vx1000, vx1600)
10.14/5.11	
10.14/5.11	R is empty.
10.14/5.11	Q is empty.
10.14/5.11	We have to consider all minimal (P,Q,R)-chains.
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(11) QDPSizeChangeProof (EQUIVALENT)
10.14/5.11	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. 
10.14/5.11	
10.14/5.11	From the DPs we obtained the following set of size-change graphs:
10.14/5.11	*new_esEsOrdering(Main.Succ(vx1000), Main.Succ(vx1600)) -> new_esEsOrdering(vx1000, vx1600)
10.14/5.11	The graph contains the following edges 1 > 1, 2 > 2
10.14/5.11	
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(12)
10.14/5.11	YES
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(13)
10.14/5.11	Obligation:
10.14/5.11	Q DP problem:
10.14/5.11	The TRS P consists of the following rules:
10.14/5.11	
10.14/5.11	   new_primPlusNat(Main.Succ(vx1400), Main.Succ(vx40000)) -> new_primPlusNat(vx1400, vx40000)
10.14/5.11	
10.14/5.11	R is empty.
10.14/5.11	Q is empty.
10.14/5.11	We have to consider all minimal (P,Q,R)-chains.
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(14) QDPSizeChangeProof (EQUIVALENT)
10.14/5.11	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. 
10.14/5.11	
10.14/5.11	From the DPs we obtained the following set of size-change graphs:
10.14/5.11	*new_primPlusNat(Main.Succ(vx1400), Main.Succ(vx40000)) -> new_primPlusNat(vx1400, vx40000)
10.14/5.11	The graph contains the following edges 1 > 1, 2 > 2
10.14/5.11	
10.14/5.11	
10.14/5.11	----------------------------------------
10.14/5.11	
10.14/5.11	(15)
10.14/5.11	YES
10.18/6.56	EOF