8.13/3.63	YES
10.06/4.18	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.06/4.18	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.06/4.18	
10.06/4.18	
10.06/4.18	H-Termination with start terms of the given HASKELL could be proven:
10.06/4.18	
10.06/4.18	(0) HASKELL
10.06/4.18	(1) BR [EQUIVALENT, 0 ms]
10.06/4.18	(2) HASKELL
10.06/4.18	(3) COR [EQUIVALENT, 0 ms]
10.06/4.18	(4) HASKELL
10.06/4.18	(5) Narrow [SOUND, 0 ms]
10.06/4.18	(6) AND
10.06/4.18	    (7) QDP
10.06/4.18	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.06/4.18	        (9) YES
10.06/4.18	    (10) QDP
10.06/4.18	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.06/4.18	        (12) YES
10.06/4.18	    (13) QDP
10.06/4.18	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.06/4.18	        (15) YES
10.06/4.18	
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(0)
10.06/4.18	Obligation:
10.06/4.18	mainModule Main 
10.06/4.18	module Main where {
10.06/4.18	import qualified Prelude;
10.06/4.18	data Float = Float MyInt MyInt ;
10.06/4.18	
10.06/4.18	data MyBool = MyTrue  | MyFalse ;
10.06/4.18	
10.06/4.18	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.06/4.18	
10.06/4.18	data Main.Nat = Succ Main.Nat  | Zero ;
10.06/4.18	
10.06/4.18	esEsFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	esEsFloat = primEqFloat;
10.06/4.18	
10.06/4.18	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.06/4.18	esEsMyInt = primEqInt;
10.06/4.18	
10.06/4.18	fsEsFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	fsEsFloat x y = not (esEsFloat x y);
10.06/4.18	
10.06/4.18	not :: MyBool  ->  MyBool;
10.06/4.18	not MyTrue = MyFalse;
10.06/4.18	not MyFalse = MyTrue;
10.06/4.18	
10.06/4.18	primEqFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	primEqFloat (Float x1 x2) (Float y1 y2) = esEsMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.06/4.18	
10.06/4.18	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
10.06/4.18	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
10.06/4.18	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
10.06/4.18	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.06/4.18	primEqInt vv vw = MyFalse;
10.06/4.18	
10.06/4.18	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
10.06/4.18	primEqNat Main.Zero Main.Zero = MyTrue;
10.06/4.18	primEqNat Main.Zero (Main.Succ y) = MyFalse;
10.06/4.18	primEqNat (Main.Succ x) Main.Zero = MyFalse;
10.06/4.18	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
10.06/4.18	
10.06/4.18	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.06/4.18	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.06/4.18	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.06/4.18	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.06/4.18	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.06/4.18	
10.06/4.18	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.06/4.18	primMulNat Main.Zero Main.Zero = Main.Zero;
10.06/4.18	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.06/4.18	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.06/4.18	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.06/4.18	
10.06/4.18	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.06/4.18	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.06/4.18	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.06/4.18	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.06/4.18	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.06/4.18	
10.06/4.18	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.06/4.18	srMyInt = primMulInt;
10.06/4.18	
10.06/4.18	}
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(1) BR (EQUIVALENT)
10.06/4.18	Replaced joker patterns by fresh variables and removed binding patterns.
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(2)
10.06/4.18	Obligation:
10.06/4.18	mainModule Main 
10.06/4.18	module Main where {
10.06/4.18	import qualified Prelude;
10.06/4.18	data Float = Float MyInt MyInt ;
10.06/4.18	
10.06/4.18	data MyBool = MyTrue  | MyFalse ;
10.06/4.18	
10.06/4.18	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.06/4.18	
10.06/4.18	data Main.Nat = Succ Main.Nat  | Zero ;
10.06/4.18	
10.06/4.18	esEsFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	esEsFloat = primEqFloat;
10.06/4.18	
10.06/4.18	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.06/4.18	esEsMyInt = primEqInt;
10.06/4.18	
10.06/4.18	fsEsFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	fsEsFloat x y = not (esEsFloat x y);
10.06/4.18	
10.06/4.18	not :: MyBool  ->  MyBool;
10.06/4.18	not MyTrue = MyFalse;
10.06/4.18	not MyFalse = MyTrue;
10.06/4.18	
10.06/4.18	primEqFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	primEqFloat (Float x1 x2) (Float y1 y2) = esEsMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.06/4.18	
10.06/4.18	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
10.06/4.18	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
10.06/4.18	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
10.06/4.18	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.06/4.18	primEqInt vv vw = MyFalse;
10.06/4.18	
10.06/4.18	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
10.06/4.18	primEqNat Main.Zero Main.Zero = MyTrue;
10.06/4.18	primEqNat Main.Zero (Main.Succ y) = MyFalse;
10.06/4.18	primEqNat (Main.Succ x) Main.Zero = MyFalse;
10.06/4.18	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
10.06/4.18	
10.06/4.18	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.06/4.18	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.06/4.18	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.06/4.18	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.06/4.18	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.06/4.18	
10.06/4.18	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.06/4.18	primMulNat Main.Zero Main.Zero = Main.Zero;
10.06/4.18	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.06/4.18	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.06/4.18	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.06/4.18	
10.06/4.18	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.06/4.18	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.06/4.18	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.06/4.18	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.06/4.18	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.06/4.18	
10.06/4.18	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.06/4.18	srMyInt = primMulInt;
10.06/4.18	
10.06/4.18	}
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(3) COR (EQUIVALENT)
10.06/4.18	Cond Reductions:
10.06/4.18	The following Function with conditions
10.06/4.18	"undefined |Falseundefined;
10.06/4.18	"
10.06/4.18	is transformed to
10.06/4.18	"undefined  = undefined1;
10.06/4.18	"
10.06/4.18	"undefined0 True = undefined;
10.06/4.18	"
10.06/4.18	"undefined1  = undefined0 False;
10.06/4.18	"
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(4)
10.06/4.18	Obligation:
10.06/4.18	mainModule Main 
10.06/4.18	module Main where {
10.06/4.18	import qualified Prelude;
10.06/4.18	data Float = Float MyInt MyInt ;
10.06/4.18	
10.06/4.18	data MyBool = MyTrue  | MyFalse ;
10.06/4.18	
10.06/4.18	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.06/4.18	
10.06/4.18	data Main.Nat = Succ Main.Nat  | Zero ;
10.06/4.18	
10.06/4.18	esEsFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	esEsFloat = primEqFloat;
10.06/4.18	
10.06/4.18	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.06/4.18	esEsMyInt = primEqInt;
10.06/4.18	
10.06/4.18	fsEsFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	fsEsFloat x y = not (esEsFloat x y);
10.06/4.18	
10.06/4.18	not :: MyBool  ->  MyBool;
10.06/4.18	not MyTrue = MyFalse;
10.06/4.18	not MyFalse = MyTrue;
10.06/4.18	
10.06/4.18	primEqFloat :: Float  ->  Float  ->  MyBool;
10.06/4.18	primEqFloat (Float x1 x2) (Float y1 y2) = esEsMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.06/4.18	
10.06/4.18	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
10.06/4.18	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
10.06/4.18	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
10.06/4.18	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.06/4.18	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.06/4.18	primEqInt vv vw = MyFalse;
10.06/4.18	
10.06/4.18	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
10.06/4.18	primEqNat Main.Zero Main.Zero = MyTrue;
10.06/4.18	primEqNat Main.Zero (Main.Succ y) = MyFalse;
10.06/4.18	primEqNat (Main.Succ x) Main.Zero = MyFalse;
10.06/4.18	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
10.06/4.18	
10.06/4.18	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.06/4.18	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.06/4.18	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.06/4.18	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.06/4.18	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.06/4.18	
10.06/4.18	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.06/4.18	primMulNat Main.Zero Main.Zero = Main.Zero;
10.06/4.18	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.06/4.18	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.06/4.18	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.06/4.18	
10.06/4.18	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.06/4.18	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.06/4.18	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.06/4.18	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.06/4.18	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.06/4.18	
10.06/4.18	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.06/4.18	srMyInt = primMulInt;
10.06/4.18	
10.06/4.18	}
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(5) Narrow (SOUND)
10.06/4.18	Haskell To QDPs
10.06/4.18	
10.06/4.18	digraph dp_graph {
10.06/4.18	node [outthreshold=100, inthreshold=100];1[label="fsEsFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.06/4.18	3[label="fsEsFloat vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
10.06/4.18	4[label="fsEsFloat vz3 vz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.06/4.18	5[label="not (esEsFloat vz3 vz4)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.06/4.18	6[label="not (primEqFloat vz3 vz4)",fontsize=16,color="burlywood",shape="box"];510[label="vz3/Float vz30 vz31",fontsize=10,color="white",style="solid",shape="box"];6 -> 510[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	510 -> 7[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	7[label="not (primEqFloat (Float vz30 vz31) vz4)",fontsize=16,color="burlywood",shape="box"];511[label="vz4/Float vz40 vz41",fontsize=10,color="white",style="solid",shape="box"];7 -> 511[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	511 -> 8[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	8[label="not (primEqFloat (Float vz30 vz31) (Float vz40 vz41))",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
10.06/4.18	9[label="not (esEsMyInt (srMyInt vz30 vz40) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10.06/4.18	10[label="not (primEqInt (srMyInt vz30 vz40) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3];
10.06/4.18	11[label="not (primEqInt (primMulInt vz30 vz40) (srMyInt vz31 vz41))",fontsize=16,color="burlywood",shape="box"];512[label="vz30/Pos vz300",fontsize=10,color="white",style="solid",shape="box"];11 -> 512[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	512 -> 12[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	513[label="vz30/Neg vz300",fontsize=10,color="white",style="solid",shape="box"];11 -> 513[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	513 -> 13[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	12[label="not (primEqInt (primMulInt (Pos vz300) vz40) (srMyInt vz31 vz41))",fontsize=16,color="burlywood",shape="box"];514[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];12 -> 514[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	514 -> 14[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	515[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];12 -> 515[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	515 -> 15[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	13[label="not (primEqInt (primMulInt (Neg vz300) vz40) (srMyInt vz31 vz41))",fontsize=16,color="burlywood",shape="box"];516[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];13 -> 516[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	516 -> 16[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	517[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];13 -> 517[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	517 -> 17[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	14[label="not (primEqInt (primMulInt (Pos vz300) (Pos vz400)) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
10.06/4.18	15[label="not (primEqInt (primMulInt (Pos vz300) (Neg vz400)) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
10.06/4.18	16[label="not (primEqInt (primMulInt (Neg vz300) (Pos vz400)) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
10.06/4.18	17[label="not (primEqInt (primMulInt (Neg vz300) (Neg vz400)) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
10.06/4.18	18 -> 273[label="",style="dashed", color="red", weight=0];
10.06/4.18	18[label="not (primEqInt (Pos (primMulNat vz300 vz400)) (srMyInt vz31 vz41))",fontsize=16,color="magenta"];18 -> 274[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	19 -> 349[label="",style="dashed", color="red", weight=0];
10.06/4.18	19[label="not (primEqInt (Neg (primMulNat vz300 vz400)) (srMyInt vz31 vz41))",fontsize=16,color="magenta"];19 -> 350[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	20 -> 349[label="",style="dashed", color="red", weight=0];
10.06/4.18	20[label="not (primEqInt (Neg (primMulNat vz300 vz400)) (srMyInt vz31 vz41))",fontsize=16,color="magenta"];20 -> 351[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	21 -> 273[label="",style="dashed", color="red", weight=0];
10.06/4.18	21[label="not (primEqInt (Pos (primMulNat vz300 vz400)) (srMyInt vz31 vz41))",fontsize=16,color="magenta"];21 -> 275[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	274[label="primMulNat vz300 vz400",fontsize=16,color="burlywood",shape="triangle"];518[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];274 -> 518[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	518 -> 286[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	519[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];274 -> 519[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	519 -> 287[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	273[label="not (primEqInt (Pos vz10) (srMyInt vz31 vz41))",fontsize=16,color="burlywood",shape="triangle"];520[label="vz10/Succ vz100",fontsize=10,color="white",style="solid",shape="box"];273 -> 520[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	520 -> 288[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	521[label="vz10/Zero",fontsize=10,color="white",style="solid",shape="box"];273 -> 521[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	521 -> 289[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	350 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	350[label="primMulNat vz300 vz400",fontsize=16,color="magenta"];350 -> 362[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	349[label="not (primEqInt (Neg vz15) (srMyInt vz31 vz41))",fontsize=16,color="burlywood",shape="triangle"];522[label="vz15/Succ vz150",fontsize=10,color="white",style="solid",shape="box"];349 -> 522[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	522 -> 363[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	523[label="vz15/Zero",fontsize=10,color="white",style="solid",shape="box"];349 -> 523[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	523 -> 364[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	351 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	351[label="primMulNat vz300 vz400",fontsize=16,color="magenta"];351 -> 365[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	275 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	275[label="primMulNat vz300 vz400",fontsize=16,color="magenta"];275 -> 290[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	275 -> 291[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	286[label="primMulNat (Succ vz3000) vz400",fontsize=16,color="burlywood",shape="box"];524[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];286 -> 524[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	524 -> 306[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	525[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];286 -> 525[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	525 -> 307[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	287[label="primMulNat Zero vz400",fontsize=16,color="burlywood",shape="box"];526[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];287 -> 526[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	526 -> 308[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	527[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];287 -> 527[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	527 -> 309[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	288[label="not (primEqInt (Pos (Succ vz100)) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];288 -> 310[label="",style="solid", color="black", weight=3];
10.06/4.18	289[label="not (primEqInt (Pos Zero) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];289 -> 311[label="",style="solid", color="black", weight=3];
10.06/4.18	362[label="vz400",fontsize=16,color="green",shape="box"];363[label="not (primEqInt (Neg (Succ vz150)) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];363 -> 376[label="",style="solid", color="black", weight=3];
10.06/4.18	364[label="not (primEqInt (Neg Zero) (srMyInt vz31 vz41))",fontsize=16,color="black",shape="box"];364 -> 377[label="",style="solid", color="black", weight=3];
10.06/4.18	365[label="vz300",fontsize=16,color="green",shape="box"];290[label="vz300",fontsize=16,color="green",shape="box"];291[label="vz400",fontsize=16,color="green",shape="box"];306[label="primMulNat (Succ vz3000) (Succ vz4000)",fontsize=16,color="black",shape="box"];306 -> 322[label="",style="solid", color="black", weight=3];
10.06/4.18	307[label="primMulNat (Succ vz3000) Zero",fontsize=16,color="black",shape="box"];307 -> 323[label="",style="solid", color="black", weight=3];
10.06/4.18	308[label="primMulNat Zero (Succ vz4000)",fontsize=16,color="black",shape="box"];308 -> 324[label="",style="solid", color="black", weight=3];
10.06/4.18	309[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];309 -> 325[label="",style="solid", color="black", weight=3];
10.06/4.18	310[label="not (primEqInt (Pos (Succ vz100)) (primMulInt vz31 vz41))",fontsize=16,color="burlywood",shape="box"];528[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];310 -> 528[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	528 -> 326[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	529[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];310 -> 529[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	529 -> 327[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	311[label="not (primEqInt (Pos Zero) (primMulInt vz31 vz41))",fontsize=16,color="burlywood",shape="box"];530[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];311 -> 530[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	530 -> 328[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	531[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];311 -> 531[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	531 -> 329[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	376[label="not (primEqInt (Neg (Succ vz150)) (primMulInt vz31 vz41))",fontsize=16,color="burlywood",shape="box"];532[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];376 -> 532[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	532 -> 381[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	533[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];376 -> 533[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	533 -> 382[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	377[label="not (primEqInt (Neg Zero) (primMulInt vz31 vz41))",fontsize=16,color="burlywood",shape="box"];534[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];377 -> 534[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	534 -> 383[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	535[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];377 -> 535[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	535 -> 384[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	322 -> 335[label="",style="dashed", color="red", weight=0];
10.06/4.18	322[label="primPlusNat (primMulNat vz3000 (Succ vz4000)) (Succ vz4000)",fontsize=16,color="magenta"];322 -> 336[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	323[label="Zero",fontsize=16,color="green",shape="box"];324[label="Zero",fontsize=16,color="green",shape="box"];325[label="Zero",fontsize=16,color="green",shape="box"];326[label="not (primEqInt (Pos (Succ vz100)) (primMulInt (Pos vz310) vz41))",fontsize=16,color="burlywood",shape="box"];536[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];326 -> 536[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	536 -> 337[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	537[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];326 -> 537[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	537 -> 338[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	327[label="not (primEqInt (Pos (Succ vz100)) (primMulInt (Neg vz310) vz41))",fontsize=16,color="burlywood",shape="box"];538[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];327 -> 538[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	538 -> 339[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	539[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];327 -> 539[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	539 -> 340[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	328[label="not (primEqInt (Pos Zero) (primMulInt (Pos vz310) vz41))",fontsize=16,color="burlywood",shape="box"];540[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];328 -> 540[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	540 -> 341[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	541[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];328 -> 541[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	541 -> 342[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	329[label="not (primEqInt (Pos Zero) (primMulInt (Neg vz310) vz41))",fontsize=16,color="burlywood",shape="box"];542[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];329 -> 542[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	542 -> 343[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	543[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];329 -> 543[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	543 -> 344[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	381[label="not (primEqInt (Neg (Succ vz150)) (primMulInt (Pos vz310) vz41))",fontsize=16,color="burlywood",shape="box"];544[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];381 -> 544[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	544 -> 388[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	545[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];381 -> 545[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	545 -> 389[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	382[label="not (primEqInt (Neg (Succ vz150)) (primMulInt (Neg vz310) vz41))",fontsize=16,color="burlywood",shape="box"];546[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];382 -> 546[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	546 -> 390[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	547[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];382 -> 547[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	547 -> 391[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	383[label="not (primEqInt (Neg Zero) (primMulInt (Pos vz310) vz41))",fontsize=16,color="burlywood",shape="box"];548[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];383 -> 548[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	548 -> 392[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	549[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];383 -> 549[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	549 -> 393[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	384[label="not (primEqInt (Neg Zero) (primMulInt (Neg vz310) vz41))",fontsize=16,color="burlywood",shape="box"];550[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];384 -> 550[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	550 -> 394[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	551[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];384 -> 551[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	551 -> 395[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	336 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	336[label="primMulNat vz3000 (Succ vz4000)",fontsize=16,color="magenta"];336 -> 345[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	336 -> 346[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	335[label="primPlusNat vz14 (Succ vz4000)",fontsize=16,color="burlywood",shape="triangle"];552[label="vz14/Succ vz140",fontsize=10,color="white",style="solid",shape="box"];335 -> 552[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	552 -> 347[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	553[label="vz14/Zero",fontsize=10,color="white",style="solid",shape="box"];335 -> 553[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	553 -> 348[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	337[label="not (primEqInt (Pos (Succ vz100)) (primMulInt (Pos vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];337 -> 366[label="",style="solid", color="black", weight=3];
10.06/4.18	338[label="not (primEqInt (Pos (Succ vz100)) (primMulInt (Pos vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];338 -> 367[label="",style="solid", color="black", weight=3];
10.06/4.18	339[label="not (primEqInt (Pos (Succ vz100)) (primMulInt (Neg vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];339 -> 368[label="",style="solid", color="black", weight=3];
10.06/4.18	340[label="not (primEqInt (Pos (Succ vz100)) (primMulInt (Neg vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];340 -> 369[label="",style="solid", color="black", weight=3];
10.06/4.18	341[label="not (primEqInt (Pos Zero) (primMulInt (Pos vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];341 -> 370[label="",style="solid", color="black", weight=3];
10.06/4.18	342[label="not (primEqInt (Pos Zero) (primMulInt (Pos vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];342 -> 371[label="",style="solid", color="black", weight=3];
10.06/4.18	343[label="not (primEqInt (Pos Zero) (primMulInt (Neg vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];343 -> 372[label="",style="solid", color="black", weight=3];
10.06/4.18	344[label="not (primEqInt (Pos Zero) (primMulInt (Neg vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];344 -> 373[label="",style="solid", color="black", weight=3];
10.06/4.18	388[label="not (primEqInt (Neg (Succ vz150)) (primMulInt (Pos vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];388 -> 399[label="",style="solid", color="black", weight=3];
10.06/4.18	389[label="not (primEqInt (Neg (Succ vz150)) (primMulInt (Pos vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];389 -> 400[label="",style="solid", color="black", weight=3];
10.06/4.18	390[label="not (primEqInt (Neg (Succ vz150)) (primMulInt (Neg vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];390 -> 401[label="",style="solid", color="black", weight=3];
10.06/4.18	391[label="not (primEqInt (Neg (Succ vz150)) (primMulInt (Neg vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];391 -> 402[label="",style="solid", color="black", weight=3];
10.06/4.18	392[label="not (primEqInt (Neg Zero) (primMulInt (Pos vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];392 -> 403[label="",style="solid", color="black", weight=3];
10.06/4.18	393[label="not (primEqInt (Neg Zero) (primMulInt (Pos vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];393 -> 404[label="",style="solid", color="black", weight=3];
10.06/4.18	394[label="not (primEqInt (Neg Zero) (primMulInt (Neg vz310) (Pos vz410)))",fontsize=16,color="black",shape="box"];394 -> 405[label="",style="solid", color="black", weight=3];
10.06/4.18	395[label="not (primEqInt (Neg Zero) (primMulInt (Neg vz310) (Neg vz410)))",fontsize=16,color="black",shape="box"];395 -> 406[label="",style="solid", color="black", weight=3];
10.06/4.18	345[label="vz3000",fontsize=16,color="green",shape="box"];346[label="Succ vz4000",fontsize=16,color="green",shape="box"];347[label="primPlusNat (Succ vz140) (Succ vz4000)",fontsize=16,color="black",shape="box"];347 -> 374[label="",style="solid", color="black", weight=3];
10.06/4.18	348[label="primPlusNat Zero (Succ vz4000)",fontsize=16,color="black",shape="box"];348 -> 375[label="",style="solid", color="black", weight=3];
10.06/4.18	366 -> 378[label="",style="dashed", color="red", weight=0];
10.06/4.18	366[label="not (primEqInt (Pos (Succ vz100)) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];366 -> 379[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	367 -> 385[label="",style="dashed", color="red", weight=0];
10.06/4.18	367[label="not (primEqInt (Pos (Succ vz100)) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];367 -> 386[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	368 -> 385[label="",style="dashed", color="red", weight=0];
10.06/4.18	368[label="not (primEqInt (Pos (Succ vz100)) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];368 -> 387[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	369 -> 378[label="",style="dashed", color="red", weight=0];
10.06/4.18	369[label="not (primEqInt (Pos (Succ vz100)) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];369 -> 380[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	370 -> 396[label="",style="dashed", color="red", weight=0];
10.06/4.18	370[label="not (primEqInt (Pos Zero) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];370 -> 397[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	371 -> 407[label="",style="dashed", color="red", weight=0];
10.06/4.18	371[label="not (primEqInt (Pos Zero) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];371 -> 408[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	372 -> 407[label="",style="dashed", color="red", weight=0];
10.06/4.18	372[label="not (primEqInt (Pos Zero) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];372 -> 409[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	373 -> 396[label="",style="dashed", color="red", weight=0];
10.06/4.18	373[label="not (primEqInt (Pos Zero) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];373 -> 398[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	399 -> 410[label="",style="dashed", color="red", weight=0];
10.06/4.18	399[label="not (primEqInt (Neg (Succ vz150)) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];399 -> 411[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	400 -> 413[label="",style="dashed", color="red", weight=0];
10.06/4.18	400[label="not (primEqInt (Neg (Succ vz150)) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];400 -> 414[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	401 -> 413[label="",style="dashed", color="red", weight=0];
10.06/4.18	401[label="not (primEqInt (Neg (Succ vz150)) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];401 -> 415[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	402 -> 410[label="",style="dashed", color="red", weight=0];
10.06/4.18	402[label="not (primEqInt (Neg (Succ vz150)) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];402 -> 412[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	403 -> 416[label="",style="dashed", color="red", weight=0];
10.06/4.18	403[label="not (primEqInt (Neg Zero) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];403 -> 417[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	404 -> 419[label="",style="dashed", color="red", weight=0];
10.06/4.18	404[label="not (primEqInt (Neg Zero) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];404 -> 420[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	405 -> 419[label="",style="dashed", color="red", weight=0];
10.06/4.18	405[label="not (primEqInt (Neg Zero) (Neg (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];405 -> 421[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	406 -> 416[label="",style="dashed", color="red", weight=0];
10.06/4.18	406[label="not (primEqInt (Neg Zero) (Pos (primMulNat vz310 vz410)))",fontsize=16,color="magenta"];406 -> 418[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	374[label="Succ (Succ (primPlusNat vz140 vz4000))",fontsize=16,color="green",shape="box"];374 -> 422[label="",style="dashed", color="green", weight=3];
10.06/4.18	375[label="Succ vz4000",fontsize=16,color="green",shape="box"];379 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	379[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];379 -> 423[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	379 -> 424[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	378[label="not (primEqInt (Pos (Succ vz100)) (Pos vz16))",fontsize=16,color="burlywood",shape="triangle"];554[label="vz16/Succ vz160",fontsize=10,color="white",style="solid",shape="box"];378 -> 554[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	554 -> 425[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	555[label="vz16/Zero",fontsize=10,color="white",style="solid",shape="box"];378 -> 555[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	555 -> 426[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	386 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	386[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];386 -> 427[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	386 -> 428[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	385[label="not (primEqInt (Pos (Succ vz100)) (Neg vz17))",fontsize=16,color="black",shape="triangle"];385 -> 429[label="",style="solid", color="black", weight=3];
10.06/4.18	387 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	387[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];387 -> 430[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	387 -> 431[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	380 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	380[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];380 -> 432[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	380 -> 433[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	397 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	397[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];397 -> 434[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	397 -> 435[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	396[label="not (primEqInt (Pos Zero) (Pos vz18))",fontsize=16,color="burlywood",shape="triangle"];556[label="vz18/Succ vz180",fontsize=10,color="white",style="solid",shape="box"];396 -> 556[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	556 -> 436[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	557[label="vz18/Zero",fontsize=10,color="white",style="solid",shape="box"];396 -> 557[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	557 -> 437[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	408 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	408[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];408 -> 438[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	408 -> 439[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	407[label="not (primEqInt (Pos Zero) (Neg vz19))",fontsize=16,color="burlywood",shape="triangle"];558[label="vz19/Succ vz190",fontsize=10,color="white",style="solid",shape="box"];407 -> 558[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	558 -> 440[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	559[label="vz19/Zero",fontsize=10,color="white",style="solid",shape="box"];407 -> 559[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	559 -> 441[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	409 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	409[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];409 -> 442[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	409 -> 443[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	398 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	398[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];398 -> 444[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	398 -> 445[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	411 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	411[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];411 -> 446[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	411 -> 447[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	410[label="not (primEqInt (Neg (Succ vz150)) (Pos vz20))",fontsize=16,color="black",shape="triangle"];410 -> 448[label="",style="solid", color="black", weight=3];
10.06/4.18	414 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	414[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];414 -> 449[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	414 -> 450[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	413[label="not (primEqInt (Neg (Succ vz150)) (Neg vz21))",fontsize=16,color="burlywood",shape="triangle"];560[label="vz21/Succ vz210",fontsize=10,color="white",style="solid",shape="box"];413 -> 560[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	560 -> 451[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	561[label="vz21/Zero",fontsize=10,color="white",style="solid",shape="box"];413 -> 561[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	561 -> 452[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	415 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	415[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];415 -> 453[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	415 -> 454[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	412 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	412[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];412 -> 455[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	412 -> 456[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	417 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	417[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];417 -> 457[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	417 -> 458[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	416[label="not (primEqInt (Neg Zero) (Pos vz22))",fontsize=16,color="burlywood",shape="triangle"];562[label="vz22/Succ vz220",fontsize=10,color="white",style="solid",shape="box"];416 -> 562[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	562 -> 459[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	563[label="vz22/Zero",fontsize=10,color="white",style="solid",shape="box"];416 -> 563[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	563 -> 460[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	420 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	420[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];420 -> 461[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	420 -> 462[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	419[label="not (primEqInt (Neg Zero) (Neg vz23))",fontsize=16,color="burlywood",shape="triangle"];564[label="vz23/Succ vz230",fontsize=10,color="white",style="solid",shape="box"];419 -> 564[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	564 -> 463[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	565[label="vz23/Zero",fontsize=10,color="white",style="solid",shape="box"];419 -> 565[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	565 -> 464[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	421 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	421[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];421 -> 465[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	421 -> 466[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	418 -> 274[label="",style="dashed", color="red", weight=0];
10.06/4.18	418[label="primMulNat vz310 vz410",fontsize=16,color="magenta"];418 -> 467[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	418 -> 468[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	422[label="primPlusNat vz140 vz4000",fontsize=16,color="burlywood",shape="triangle"];566[label="vz140/Succ vz1400",fontsize=10,color="white",style="solid",shape="box"];422 -> 566[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	566 -> 469[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	567[label="vz140/Zero",fontsize=10,color="white",style="solid",shape="box"];422 -> 567[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	567 -> 470[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	423[label="vz310",fontsize=16,color="green",shape="box"];424[label="vz410",fontsize=16,color="green",shape="box"];425[label="not (primEqInt (Pos (Succ vz100)) (Pos (Succ vz160)))",fontsize=16,color="black",shape="box"];425 -> 471[label="",style="solid", color="black", weight=3];
10.06/4.18	426[label="not (primEqInt (Pos (Succ vz100)) (Pos Zero))",fontsize=16,color="black",shape="box"];426 -> 472[label="",style="solid", color="black", weight=3];
10.06/4.18	427[label="vz310",fontsize=16,color="green",shape="box"];428[label="vz410",fontsize=16,color="green",shape="box"];429[label="not MyFalse",fontsize=16,color="black",shape="triangle"];429 -> 473[label="",style="solid", color="black", weight=3];
10.06/4.18	430[label="vz310",fontsize=16,color="green",shape="box"];431[label="vz410",fontsize=16,color="green",shape="box"];432[label="vz310",fontsize=16,color="green",shape="box"];433[label="vz410",fontsize=16,color="green",shape="box"];434[label="vz310",fontsize=16,color="green",shape="box"];435[label="vz410",fontsize=16,color="green",shape="box"];436[label="not (primEqInt (Pos Zero) (Pos (Succ vz180)))",fontsize=16,color="black",shape="box"];436 -> 474[label="",style="solid", color="black", weight=3];
10.06/4.18	437[label="not (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];437 -> 475[label="",style="solid", color="black", weight=3];
10.06/4.18	438[label="vz310",fontsize=16,color="green",shape="box"];439[label="vz410",fontsize=16,color="green",shape="box"];440[label="not (primEqInt (Pos Zero) (Neg (Succ vz190)))",fontsize=16,color="black",shape="box"];440 -> 476[label="",style="solid", color="black", weight=3];
10.06/4.18	441[label="not (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];441 -> 477[label="",style="solid", color="black", weight=3];
10.06/4.18	442[label="vz310",fontsize=16,color="green",shape="box"];443[label="vz410",fontsize=16,color="green",shape="box"];444[label="vz310",fontsize=16,color="green",shape="box"];445[label="vz410",fontsize=16,color="green",shape="box"];446[label="vz310",fontsize=16,color="green",shape="box"];447[label="vz410",fontsize=16,color="green",shape="box"];448 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	448[label="not MyFalse",fontsize=16,color="magenta"];449[label="vz310",fontsize=16,color="green",shape="box"];450[label="vz410",fontsize=16,color="green",shape="box"];451[label="not (primEqInt (Neg (Succ vz150)) (Neg (Succ vz210)))",fontsize=16,color="black",shape="box"];451 -> 478[label="",style="solid", color="black", weight=3];
10.06/4.18	452[label="not (primEqInt (Neg (Succ vz150)) (Neg Zero))",fontsize=16,color="black",shape="box"];452 -> 479[label="",style="solid", color="black", weight=3];
10.06/4.18	453[label="vz310",fontsize=16,color="green",shape="box"];454[label="vz410",fontsize=16,color="green",shape="box"];455[label="vz310",fontsize=16,color="green",shape="box"];456[label="vz410",fontsize=16,color="green",shape="box"];457[label="vz310",fontsize=16,color="green",shape="box"];458[label="vz410",fontsize=16,color="green",shape="box"];459[label="not (primEqInt (Neg Zero) (Pos (Succ vz220)))",fontsize=16,color="black",shape="box"];459 -> 480[label="",style="solid", color="black", weight=3];
10.06/4.18	460[label="not (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];460 -> 481[label="",style="solid", color="black", weight=3];
10.06/4.18	461[label="vz310",fontsize=16,color="green",shape="box"];462[label="vz410",fontsize=16,color="green",shape="box"];463[label="not (primEqInt (Neg Zero) (Neg (Succ vz230)))",fontsize=16,color="black",shape="box"];463 -> 482[label="",style="solid", color="black", weight=3];
10.06/4.18	464[label="not (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];464 -> 483[label="",style="solid", color="black", weight=3];
10.06/4.18	465[label="vz310",fontsize=16,color="green",shape="box"];466[label="vz410",fontsize=16,color="green",shape="box"];467[label="vz310",fontsize=16,color="green",shape="box"];468[label="vz410",fontsize=16,color="green",shape="box"];469[label="primPlusNat (Succ vz1400) vz4000",fontsize=16,color="burlywood",shape="box"];568[label="vz4000/Succ vz40000",fontsize=10,color="white",style="solid",shape="box"];469 -> 568[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	568 -> 484[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	569[label="vz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];469 -> 569[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	569 -> 485[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	470[label="primPlusNat Zero vz4000",fontsize=16,color="burlywood",shape="box"];570[label="vz4000/Succ vz40000",fontsize=10,color="white",style="solid",shape="box"];470 -> 570[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	570 -> 486[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	571[label="vz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];470 -> 571[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	571 -> 487[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	471[label="not (primEqNat vz100 vz160)",fontsize=16,color="burlywood",shape="triangle"];572[label="vz100/Succ vz1000",fontsize=10,color="white",style="solid",shape="box"];471 -> 572[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	572 -> 488[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	573[label="vz100/Zero",fontsize=10,color="white",style="solid",shape="box"];471 -> 573[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	573 -> 489[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	472 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	472[label="not MyFalse",fontsize=16,color="magenta"];473[label="MyTrue",fontsize=16,color="green",shape="box"];474 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	474[label="not MyFalse",fontsize=16,color="magenta"];475[label="not MyTrue",fontsize=16,color="black",shape="triangle"];475 -> 490[label="",style="solid", color="black", weight=3];
10.06/4.18	476 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	476[label="not MyFalse",fontsize=16,color="magenta"];477 -> 475[label="",style="dashed", color="red", weight=0];
10.06/4.18	477[label="not MyTrue",fontsize=16,color="magenta"];478 -> 471[label="",style="dashed", color="red", weight=0];
10.06/4.18	478[label="not (primEqNat vz150 vz210)",fontsize=16,color="magenta"];478 -> 491[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	478 -> 492[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	479 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	479[label="not MyFalse",fontsize=16,color="magenta"];480 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	480[label="not MyFalse",fontsize=16,color="magenta"];481 -> 475[label="",style="dashed", color="red", weight=0];
10.06/4.18	481[label="not MyTrue",fontsize=16,color="magenta"];482 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	482[label="not MyFalse",fontsize=16,color="magenta"];483 -> 475[label="",style="dashed", color="red", weight=0];
10.06/4.18	483[label="not MyTrue",fontsize=16,color="magenta"];484[label="primPlusNat (Succ vz1400) (Succ vz40000)",fontsize=16,color="black",shape="box"];484 -> 493[label="",style="solid", color="black", weight=3];
10.06/4.18	485[label="primPlusNat (Succ vz1400) Zero",fontsize=16,color="black",shape="box"];485 -> 494[label="",style="solid", color="black", weight=3];
10.06/4.18	486[label="primPlusNat Zero (Succ vz40000)",fontsize=16,color="black",shape="box"];486 -> 495[label="",style="solid", color="black", weight=3];
10.06/4.18	487[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];487 -> 496[label="",style="solid", color="black", weight=3];
10.06/4.18	488[label="not (primEqNat (Succ vz1000) vz160)",fontsize=16,color="burlywood",shape="box"];574[label="vz160/Succ vz1600",fontsize=10,color="white",style="solid",shape="box"];488 -> 574[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	574 -> 497[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	575[label="vz160/Zero",fontsize=10,color="white",style="solid",shape="box"];488 -> 575[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	575 -> 498[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	489[label="not (primEqNat Zero vz160)",fontsize=16,color="burlywood",shape="box"];576[label="vz160/Succ vz1600",fontsize=10,color="white",style="solid",shape="box"];489 -> 576[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	576 -> 499[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	577[label="vz160/Zero",fontsize=10,color="white",style="solid",shape="box"];489 -> 577[label="",style="solid", color="burlywood", weight=9];
10.06/4.18	577 -> 500[label="",style="solid", color="burlywood", weight=3];
10.06/4.18	490[label="MyFalse",fontsize=16,color="green",shape="box"];491[label="vz150",fontsize=16,color="green",shape="box"];492[label="vz210",fontsize=16,color="green",shape="box"];493[label="Succ (Succ (primPlusNat vz1400 vz40000))",fontsize=16,color="green",shape="box"];493 -> 501[label="",style="dashed", color="green", weight=3];
10.06/4.18	494[label="Succ vz1400",fontsize=16,color="green",shape="box"];495[label="Succ vz40000",fontsize=16,color="green",shape="box"];496[label="Zero",fontsize=16,color="green",shape="box"];497[label="not (primEqNat (Succ vz1000) (Succ vz1600))",fontsize=16,color="black",shape="box"];497 -> 502[label="",style="solid", color="black", weight=3];
10.06/4.18	498[label="not (primEqNat (Succ vz1000) Zero)",fontsize=16,color="black",shape="box"];498 -> 503[label="",style="solid", color="black", weight=3];
10.06/4.18	499[label="not (primEqNat Zero (Succ vz1600))",fontsize=16,color="black",shape="box"];499 -> 504[label="",style="solid", color="black", weight=3];
10.06/4.18	500[label="not (primEqNat Zero Zero)",fontsize=16,color="black",shape="box"];500 -> 505[label="",style="solid", color="black", weight=3];
10.06/4.18	501 -> 422[label="",style="dashed", color="red", weight=0];
10.06/4.18	501[label="primPlusNat vz1400 vz40000",fontsize=16,color="magenta"];501 -> 506[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	501 -> 507[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	502 -> 471[label="",style="dashed", color="red", weight=0];
10.06/4.18	502[label="not (primEqNat vz1000 vz1600)",fontsize=16,color="magenta"];502 -> 508[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	502 -> 509[label="",style="dashed", color="magenta", weight=3];
10.06/4.18	503 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	503[label="not MyFalse",fontsize=16,color="magenta"];504 -> 429[label="",style="dashed", color="red", weight=0];
10.06/4.18	504[label="not MyFalse",fontsize=16,color="magenta"];505 -> 475[label="",style="dashed", color="red", weight=0];
10.06/4.18	505[label="not MyTrue",fontsize=16,color="magenta"];506[label="vz40000",fontsize=16,color="green",shape="box"];507[label="vz1400",fontsize=16,color="green",shape="box"];508[label="vz1000",fontsize=16,color="green",shape="box"];509[label="vz1600",fontsize=16,color="green",shape="box"];}
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(6)
10.06/4.18	Complex Obligation (AND)
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(7)
10.06/4.18	Obligation:
10.06/4.18	Q DP problem:
10.06/4.18	The TRS P consists of the following rules:
10.06/4.18	
10.06/4.18	   new_primMulNat(Main.Succ(vz3000), Main.Succ(vz4000)) -> new_primMulNat(vz3000, Main.Succ(vz4000))
10.06/4.18	
10.06/4.18	R is empty.
10.06/4.18	Q is empty.
10.06/4.18	We have to consider all minimal (P,Q,R)-chains.
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(8) QDPSizeChangeProof (EQUIVALENT)
10.06/4.18	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. 
10.06/4.18	
10.06/4.18	From the DPs we obtained the following set of size-change graphs:
10.06/4.18	*new_primMulNat(Main.Succ(vz3000), Main.Succ(vz4000)) -> new_primMulNat(vz3000, Main.Succ(vz4000))
10.06/4.18	The graph contains the following edges 1 > 1, 2 >= 2
10.06/4.18	
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(9)
10.06/4.18	YES
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(10)
10.06/4.18	Obligation:
10.06/4.18	Q DP problem:
10.06/4.18	The TRS P consists of the following rules:
10.06/4.18	
10.06/4.18	   new_primPlusNat(Main.Succ(vz1400), Main.Succ(vz40000)) -> new_primPlusNat(vz1400, vz40000)
10.06/4.18	
10.06/4.18	R is empty.
10.06/4.18	Q is empty.
10.06/4.18	We have to consider all minimal (P,Q,R)-chains.
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(11) QDPSizeChangeProof (EQUIVALENT)
10.06/4.18	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. 
10.06/4.18	
10.06/4.18	From the DPs we obtained the following set of size-change graphs:
10.06/4.18	*new_primPlusNat(Main.Succ(vz1400), Main.Succ(vz40000)) -> new_primPlusNat(vz1400, vz40000)
10.06/4.18	The graph contains the following edges 1 > 1, 2 > 2
10.06/4.18	
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(12)
10.06/4.18	YES
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(13)
10.06/4.18	Obligation:
10.06/4.18	Q DP problem:
10.06/4.18	The TRS P consists of the following rules:
10.06/4.18	
10.06/4.18	   new_not(Main.Succ(vz1000), Main.Succ(vz1600)) -> new_not(vz1000, vz1600)
10.06/4.18	
10.06/4.18	R is empty.
10.06/4.18	Q is empty.
10.06/4.18	We have to consider all minimal (P,Q,R)-chains.
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(14) QDPSizeChangeProof (EQUIVALENT)
10.06/4.18	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. 
10.06/4.18	
10.06/4.18	From the DPs we obtained the following set of size-change graphs:
10.06/4.18	*new_not(Main.Succ(vz1000), Main.Succ(vz1600)) -> new_not(vz1000, vz1600)
10.06/4.18	The graph contains the following edges 1 > 1, 2 > 2
10.06/4.18	
10.06/4.18	
10.06/4.18	----------------------------------------
10.06/4.18	
10.06/4.18	(15)
10.06/4.18	YES
10.18/4.22	EOF