8.40/3.76	YES
10.30/4.31	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.30/4.31	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.30/4.31	
10.30/4.31	
10.30/4.31	H-Termination with start terms of the given HASKELL could be proven:
10.30/4.31	
10.30/4.31	(0) HASKELL
10.30/4.31	(1) BR [EQUIVALENT, 0 ms]
10.30/4.31	(2) HASKELL
10.30/4.31	(3) COR [EQUIVALENT, 0 ms]
10.30/4.31	(4) HASKELL
10.30/4.31	(5) Narrow [SOUND, 0 ms]
10.30/4.31	(6) AND
10.30/4.31	    (7) QDP
10.30/4.31	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.30/4.31	        (9) YES
10.30/4.31	    (10) QDP
10.30/4.31	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.30/4.31	        (12) YES
10.30/4.31	    (13) QDP
10.30/4.31	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.30/4.31	        (15) YES
10.30/4.31	    (16) QDP
10.30/4.31	        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.30/4.31	        (18) YES
10.30/4.31	
10.30/4.31	
10.30/4.31	----------------------------------------
10.30/4.31	
10.30/4.31	(0)
10.30/4.31	Obligation:
10.30/4.31	mainModule Main 
10.30/4.31	module Main where {
10.30/4.31	import qualified Prelude;
10.30/4.31	data Float = Float MyInt MyInt ;
10.30/4.31	
10.30/4.31	data List a = Cons a (List a)  | Nil ;
10.30/4.31	
10.30/4.31	data MyBool = MyTrue  | MyFalse ;
10.30/4.31	
10.30/4.31	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.30/4.31	
10.30/4.31	data Main.Nat = Succ Main.Nat  | Zero ;
10.30/4.31	
10.30/4.31	any :: (a  ->  MyBool)  ->  List a  ->  MyBool;
10.30/4.31	any p = pt or (map p);
10.30/4.31	
10.30/4.31	elemFloat :: Float  ->  List Float  ->  MyBool;
10.30/4.31	elemFloat = pt any esEsFloat;
10.30/4.31	
10.30/4.31	esEsFloat :: Float  ->  Float  ->  MyBool;
10.30/4.31	esEsFloat = primEqFloat;
10.30/4.31	
10.30/4.31	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.30/4.31	esEsMyInt = primEqInt;
10.30/4.31	
10.30/4.31	foldr :: (b  ->  a  ->  a)  ->  a  ->  List b  ->  a;
10.30/4.31	foldr f z Nil = z;
10.30/4.31	foldr f z (Cons x xs) = f x (foldr f z xs);
10.30/4.31	
10.30/4.31	map :: (b  ->  a)  ->  List b  ->  List a;
10.30/4.31	map f Nil = Nil;
10.30/4.31	map f (Cons x xs) = Cons (f x) (map f xs);
10.30/4.31	
10.30/4.31	or :: List MyBool  ->  MyBool;
10.30/4.31	or = foldr pePe MyFalse;
10.30/4.31	
10.30/4.31	pePe :: MyBool  ->  MyBool  ->  MyBool;
10.30/4.31	pePe MyFalse x = x;
10.30/4.31	pePe MyTrue x = MyTrue;
10.30/4.31	
10.30/4.31	primEqFloat :: Float  ->  Float  ->  MyBool;
10.30/4.31	primEqFloat (Float x1 x2) (Float y1 y2) = esEsMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.30/4.31	
10.30/4.31	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
10.30/4.31	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
10.30/4.31	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
10.30/4.31	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.30/4.31	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.30/4.31	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.30/4.31	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.30/4.31	primEqInt vv vw = MyFalse;
10.30/4.31	
10.30/4.31	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
10.30/4.31	primEqNat Main.Zero Main.Zero = MyTrue;
10.30/4.31	primEqNat Main.Zero (Main.Succ y) = MyFalse;
10.30/4.31	primEqNat (Main.Succ x) Main.Zero = MyFalse;
10.30/4.31	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
10.30/4.31	
10.30/4.31	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.30/4.31	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.30/4.31	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.30/4.31	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.30/4.31	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.30/4.31	
10.30/4.31	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.30/4.31	primMulNat Main.Zero Main.Zero = Main.Zero;
10.30/4.31	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.30/4.31	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.30/4.31	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.30/4.31	
10.30/4.31	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.30/4.31	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.30/4.31	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.30/4.31	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.30/4.31	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.30/4.31	
10.30/4.31	pt :: (b  ->  c)  ->  (a  ->  b)  ->  a  ->  c;
10.30/4.31	pt f g x = f (g x);
10.30/4.31	
10.30/4.31	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.30/4.31	srMyInt = primMulInt;
10.30/4.31	
10.30/4.31	}
10.30/4.31	
10.30/4.31	----------------------------------------
10.30/4.31	
10.30/4.31	(1) BR (EQUIVALENT)
10.30/4.31	Replaced joker patterns by fresh variables and removed binding patterns.
10.30/4.31	----------------------------------------
10.30/4.31	
10.30/4.31	(2)
10.30/4.31	Obligation:
10.30/4.31	mainModule Main 
10.30/4.31	module Main where {
10.30/4.31	import qualified Prelude;
10.30/4.31	data Float = Float MyInt MyInt ;
10.30/4.31	
10.30/4.31	data List a = Cons a (List a)  | Nil ;
10.30/4.31	
10.30/4.31	data MyBool = MyTrue  | MyFalse ;
10.30/4.31	
10.30/4.31	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.30/4.31	
10.30/4.31	data Main.Nat = Succ Main.Nat  | Zero ;
10.30/4.31	
10.30/4.31	any :: (a  ->  MyBool)  ->  List a  ->  MyBool;
10.30/4.31	any p = pt or (map p);
10.30/4.31	
10.30/4.31	elemFloat :: Float  ->  List Float  ->  MyBool;
10.30/4.31	elemFloat = pt any esEsFloat;
10.30/4.32	
10.30/4.32	esEsFloat :: Float  ->  Float  ->  MyBool;
10.30/4.32	esEsFloat = primEqFloat;
10.30/4.32	
10.30/4.32	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.30/4.32	esEsMyInt = primEqInt;
10.30/4.32	
10.30/4.32	foldr :: (a  ->  b  ->  b)  ->  b  ->  List a  ->  b;
10.30/4.32	foldr f z Nil = z;
10.30/4.32	foldr f z (Cons x xs) = f x (foldr f z xs);
10.30/4.32	
10.30/4.32	map :: (b  ->  a)  ->  List b  ->  List a;
10.30/4.32	map f Nil = Nil;
10.30/4.32	map f (Cons x xs) = Cons (f x) (map f xs);
10.30/4.32	
10.30/4.32	or :: List MyBool  ->  MyBool;
10.30/4.32	or = foldr pePe MyFalse;
10.30/4.32	
10.30/4.32	pePe :: MyBool  ->  MyBool  ->  MyBool;
10.30/4.32	pePe MyFalse x = x;
10.30/4.32	pePe MyTrue x = MyTrue;
10.30/4.32	
10.30/4.32	primEqFloat :: Float  ->  Float  ->  MyBool;
10.30/4.32	primEqFloat (Float x1 x2) (Float y1 y2) = esEsMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.30/4.32	
10.30/4.32	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
10.30/4.32	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
10.30/4.32	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
10.30/4.32	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.30/4.32	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.30/4.32	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.30/4.32	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.30/4.32	primEqInt vv vw = MyFalse;
10.30/4.32	
10.30/4.32	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
10.30/4.32	primEqNat Main.Zero Main.Zero = MyTrue;
10.30/4.32	primEqNat Main.Zero (Main.Succ y) = MyFalse;
10.30/4.32	primEqNat (Main.Succ x) Main.Zero = MyFalse;
10.30/4.32	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
10.30/4.32	
10.30/4.32	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.30/4.32	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.30/4.32	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.30/4.32	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.30/4.32	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.30/4.32	
10.30/4.32	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.30/4.32	primMulNat Main.Zero Main.Zero = Main.Zero;
10.30/4.32	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.30/4.32	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.30/4.32	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.30/4.32	
10.30/4.32	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.30/4.32	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.30/4.32	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.30/4.32	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.30/4.32	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.30/4.32	
10.30/4.32	pt :: (a  ->  b)  ->  (c  ->  a)  ->  c  ->  b;
10.30/4.32	pt f g x = f (g x);
10.30/4.32	
10.30/4.32	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.30/4.32	srMyInt = primMulInt;
10.30/4.32	
10.30/4.32	}
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(3) COR (EQUIVALENT)
10.30/4.32	Cond Reductions:
10.30/4.32	The following Function with conditions
10.30/4.32	"undefined |Falseundefined;
10.30/4.32	"
10.30/4.32	is transformed to
10.30/4.32	"undefined  = undefined1;
10.30/4.32	"
10.30/4.32	"undefined0 True = undefined;
10.30/4.32	"
10.30/4.32	"undefined1  = undefined0 False;
10.30/4.32	"
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(4)
10.30/4.32	Obligation:
10.30/4.32	mainModule Main 
10.30/4.32	module Main where {
10.30/4.32	import qualified Prelude;
10.30/4.32	data Float = Float MyInt MyInt ;
10.30/4.32	
10.30/4.32	data List a = Cons a (List a)  | Nil ;
10.30/4.32	
10.30/4.32	data MyBool = MyTrue  | MyFalse ;
10.30/4.32	
10.30/4.32	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.30/4.32	
10.30/4.32	data Main.Nat = Succ Main.Nat  | Zero ;
10.30/4.32	
10.30/4.32	any :: (a  ->  MyBool)  ->  List a  ->  MyBool;
10.30/4.32	any p = pt or (map p);
10.30/4.32	
10.30/4.32	elemFloat :: Float  ->  List Float  ->  MyBool;
10.30/4.32	elemFloat = pt any esEsFloat;
10.30/4.32	
10.30/4.32	esEsFloat :: Float  ->  Float  ->  MyBool;
10.30/4.32	esEsFloat = primEqFloat;
10.30/4.32	
10.30/4.32	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
10.30/4.32	esEsMyInt = primEqInt;
10.30/4.32	
10.30/4.32	foldr :: (b  ->  a  ->  a)  ->  a  ->  List b  ->  a;
10.30/4.32	foldr f z Nil = z;
10.30/4.32	foldr f z (Cons x xs) = f x (foldr f z xs);
10.30/4.32	
10.30/4.32	map :: (b  ->  a)  ->  List b  ->  List a;
10.30/4.32	map f Nil = Nil;
10.30/4.32	map f (Cons x xs) = Cons (f x) (map f xs);
10.30/4.32	
10.30/4.32	or :: List MyBool  ->  MyBool;
10.30/4.32	or = foldr pePe MyFalse;
10.30/4.32	
10.30/4.32	pePe :: MyBool  ->  MyBool  ->  MyBool;
10.30/4.32	pePe MyFalse x = x;
10.30/4.32	pePe MyTrue x = MyTrue;
10.30/4.32	
10.30/4.32	primEqFloat :: Float  ->  Float  ->  MyBool;
10.30/4.32	primEqFloat (Float x1 x2) (Float y1 y2) = esEsMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.30/4.32	
10.30/4.32	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
10.30/4.32	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
10.30/4.32	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
10.30/4.32	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.30/4.32	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.30/4.32	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
10.30/4.32	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
10.30/4.32	primEqInt vv vw = MyFalse;
10.30/4.32	
10.30/4.32	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
10.30/4.32	primEqNat Main.Zero Main.Zero = MyTrue;
10.30/4.32	primEqNat Main.Zero (Main.Succ y) = MyFalse;
10.30/4.32	primEqNat (Main.Succ x) Main.Zero = MyFalse;
10.30/4.32	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
10.30/4.32	
10.30/4.32	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.30/4.32	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.30/4.32	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.30/4.32	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.30/4.32	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.30/4.32	
10.30/4.32	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.30/4.32	primMulNat Main.Zero Main.Zero = Main.Zero;
10.30/4.32	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.30/4.32	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.30/4.32	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.30/4.32	
10.30/4.32	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.30/4.32	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.30/4.32	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.30/4.32	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.30/4.32	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.30/4.32	
10.30/4.32	pt :: (a  ->  b)  ->  (c  ->  a)  ->  c  ->  b;
10.30/4.32	pt f g x = f (g x);
10.30/4.32	
10.30/4.32	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.30/4.32	srMyInt = primMulInt;
10.30/4.32	
10.30/4.32	}
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(5) Narrow (SOUND)
10.30/4.32	Haskell To QDPs
10.30/4.32	
10.30/4.32	digraph dp_graph {
10.30/4.32	node [outthreshold=100, inthreshold=100];1[label="elemFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.30/4.32	3[label="elemFloat vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
10.30/4.32	4[label="elemFloat vz3 vz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.30/4.32	5[label="pt any esEsFloat vz3 vz4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.30/4.32	6[label="any (esEsFloat vz3) vz4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
10.30/4.32	7[label="pt or (map (esEsFloat vz3)) vz4",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
10.30/4.32	8[label="or (map (esEsFloat vz3) vz4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
10.30/4.32	9[label="foldr pePe MyFalse (map (esEsFloat vz3) vz4)",fontsize=16,color="burlywood",shape="triangle"];523[label="vz4/Cons vz40 vz41",fontsize=10,color="white",style="solid",shape="box"];9 -> 523[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	523 -> 10[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	524[label="vz4/Nil",fontsize=10,color="white",style="solid",shape="box"];9 -> 524[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	524 -> 11[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	10[label="foldr pePe MyFalse (map (esEsFloat vz3) (Cons vz40 vz41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
10.30/4.32	11[label="foldr pePe MyFalse (map (esEsFloat vz3) Nil)",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
10.30/4.32	12[label="foldr pePe MyFalse (Cons (esEsFloat vz3 vz40) (map (esEsFloat vz3) vz41))",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
10.30/4.32	13[label="foldr pePe MyFalse Nil",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3];
10.30/4.32	14 -> 16[label="",style="dashed", color="red", weight=0];
10.30/4.32	14[label="pePe (esEsFloat vz3 vz40) (foldr pePe MyFalse (map (esEsFloat vz3) vz41))",fontsize=16,color="magenta"];14 -> 17[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	15[label="MyFalse",fontsize=16,color="green",shape="box"];17 -> 9[label="",style="dashed", color="red", weight=0];
10.30/4.32	17[label="foldr pePe MyFalse (map (esEsFloat vz3) vz41)",fontsize=16,color="magenta"];17 -> 18[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	16[label="pePe (esEsFloat vz3 vz40) vz5",fontsize=16,color="black",shape="triangle"];16 -> 19[label="",style="solid", color="black", weight=3];
10.30/4.32	18[label="vz41",fontsize=16,color="green",shape="box"];19[label="pePe (primEqFloat vz3 vz40) vz5",fontsize=16,color="burlywood",shape="box"];525[label="vz3/Float vz30 vz31",fontsize=10,color="white",style="solid",shape="box"];19 -> 525[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	525 -> 20[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	20[label="pePe (primEqFloat (Float vz30 vz31) vz40) vz5",fontsize=16,color="burlywood",shape="box"];526[label="vz40/Float vz400 vz401",fontsize=10,color="white",style="solid",shape="box"];20 -> 526[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	526 -> 21[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	21[label="pePe (primEqFloat (Float vz30 vz31) (Float vz400 vz401)) vz5",fontsize=16,color="black",shape="box"];21 -> 22[label="",style="solid", color="black", weight=3];
10.30/4.32	22[label="pePe (esEsMyInt (srMyInt vz30 vz400) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3];
10.30/4.32	23[label="pePe (primEqInt (srMyInt vz30 vz400) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];23 -> 24[label="",style="solid", color="black", weight=3];
10.30/4.32	24[label="pePe (primEqInt (primMulInt vz30 vz400) (srMyInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="box"];527[label="vz30/Pos vz300",fontsize=10,color="white",style="solid",shape="box"];24 -> 527[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	527 -> 25[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	528[label="vz30/Neg vz300",fontsize=10,color="white",style="solid",shape="box"];24 -> 528[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	528 -> 26[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	25[label="pePe (primEqInt (primMulInt (Pos vz300) vz400) (srMyInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="box"];529[label="vz400/Pos vz4000",fontsize=10,color="white",style="solid",shape="box"];25 -> 529[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	529 -> 27[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	530[label="vz400/Neg vz4000",fontsize=10,color="white",style="solid",shape="box"];25 -> 530[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	530 -> 28[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	26[label="pePe (primEqInt (primMulInt (Neg vz300) vz400) (srMyInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="box"];531[label="vz400/Pos vz4000",fontsize=10,color="white",style="solid",shape="box"];26 -> 531[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	531 -> 29[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	532[label="vz400/Neg vz4000",fontsize=10,color="white",style="solid",shape="box"];26 -> 532[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	532 -> 30[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	27[label="pePe (primEqInt (primMulInt (Pos vz300) (Pos vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];27 -> 31[label="",style="solid", color="black", weight=3];
10.30/4.32	28[label="pePe (primEqInt (primMulInt (Pos vz300) (Neg vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];28 -> 32[label="",style="solid", color="black", weight=3];
10.30/4.32	29[label="pePe (primEqInt (primMulInt (Neg vz300) (Pos vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];29 -> 33[label="",style="solid", color="black", weight=3];
10.30/4.32	30[label="pePe (primEqInt (primMulInt (Neg vz300) (Neg vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];30 -> 34[label="",style="solid", color="black", weight=3];
10.30/4.32	31 -> 286[label="",style="dashed", color="red", weight=0];
10.30/4.32	31[label="pePe (primEqInt (Pos (primMulNat vz300 vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="magenta"];31 -> 287[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	32 -> 362[label="",style="dashed", color="red", weight=0];
10.30/4.32	32[label="pePe (primEqInt (Neg (primMulNat vz300 vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="magenta"];32 -> 363[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	33 -> 362[label="",style="dashed", color="red", weight=0];
10.30/4.32	33[label="pePe (primEqInt (Neg (primMulNat vz300 vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="magenta"];33 -> 364[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	34 -> 286[label="",style="dashed", color="red", weight=0];
10.30/4.32	34[label="pePe (primEqInt (Pos (primMulNat vz300 vz4000)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="magenta"];34 -> 288[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	287[label="primMulNat vz300 vz4000",fontsize=16,color="burlywood",shape="triangle"];533[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];287 -> 533[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	533 -> 299[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	534[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];287 -> 534[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	534 -> 300[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	286[label="pePe (primEqInt (Pos vz11) (srMyInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="triangle"];535[label="vz11/Succ vz110",fontsize=10,color="white",style="solid",shape="box"];286 -> 535[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	535 -> 301[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	536[label="vz11/Zero",fontsize=10,color="white",style="solid",shape="box"];286 -> 536[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	536 -> 302[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	363 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	363[label="primMulNat vz300 vz4000",fontsize=16,color="magenta"];363 -> 375[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	362[label="pePe (primEqInt (Neg vz16) (srMyInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="triangle"];537[label="vz16/Succ vz160",fontsize=10,color="white",style="solid",shape="box"];362 -> 537[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	537 -> 376[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	538[label="vz16/Zero",fontsize=10,color="white",style="solid",shape="box"];362 -> 538[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	538 -> 377[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	364 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	364[label="primMulNat vz300 vz4000",fontsize=16,color="magenta"];364 -> 378[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	288 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	288[label="primMulNat vz300 vz4000",fontsize=16,color="magenta"];288 -> 303[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	288 -> 304[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	299[label="primMulNat (Succ vz3000) vz4000",fontsize=16,color="burlywood",shape="box"];539[label="vz4000/Succ vz40000",fontsize=10,color="white",style="solid",shape="box"];299 -> 539[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	539 -> 319[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	540[label="vz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];299 -> 540[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	540 -> 320[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	300[label="primMulNat Zero vz4000",fontsize=16,color="burlywood",shape="box"];541[label="vz4000/Succ vz40000",fontsize=10,color="white",style="solid",shape="box"];300 -> 541[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	541 -> 321[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	542[label="vz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];300 -> 542[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	542 -> 322[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	301[label="pePe (primEqInt (Pos (Succ vz110)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];301 -> 323[label="",style="solid", color="black", weight=3];
10.30/4.32	302[label="pePe (primEqInt (Pos Zero) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];302 -> 324[label="",style="solid", color="black", weight=3];
10.30/4.32	375[label="vz4000",fontsize=16,color="green",shape="box"];376[label="pePe (primEqInt (Neg (Succ vz160)) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];376 -> 389[label="",style="solid", color="black", weight=3];
10.30/4.32	377[label="pePe (primEqInt (Neg Zero) (srMyInt vz31 vz401)) vz5",fontsize=16,color="black",shape="box"];377 -> 390[label="",style="solid", color="black", weight=3];
10.30/4.32	378[label="vz300",fontsize=16,color="green",shape="box"];303[label="vz300",fontsize=16,color="green",shape="box"];304[label="vz4000",fontsize=16,color="green",shape="box"];319[label="primMulNat (Succ vz3000) (Succ vz40000)",fontsize=16,color="black",shape="box"];319 -> 335[label="",style="solid", color="black", weight=3];
10.30/4.32	320[label="primMulNat (Succ vz3000) Zero",fontsize=16,color="black",shape="box"];320 -> 336[label="",style="solid", color="black", weight=3];
10.30/4.32	321[label="primMulNat Zero (Succ vz40000)",fontsize=16,color="black",shape="box"];321 -> 337[label="",style="solid", color="black", weight=3];
10.30/4.32	322[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];322 -> 338[label="",style="solid", color="black", weight=3];
10.30/4.32	323[label="pePe (primEqInt (Pos (Succ vz110)) (primMulInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="box"];543[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];323 -> 543[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	543 -> 339[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	544[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];323 -> 544[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	544 -> 340[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	324[label="pePe (primEqInt (Pos Zero) (primMulInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="box"];545[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];324 -> 545[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	545 -> 341[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	546[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];324 -> 546[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	546 -> 342[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	389[label="pePe (primEqInt (Neg (Succ vz160)) (primMulInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="box"];547[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];389 -> 547[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	547 -> 394[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	548[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];389 -> 548[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	548 -> 395[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	390[label="pePe (primEqInt (Neg Zero) (primMulInt vz31 vz401)) vz5",fontsize=16,color="burlywood",shape="box"];549[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];390 -> 549[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	549 -> 396[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	550[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];390 -> 550[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	550 -> 397[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	335 -> 348[label="",style="dashed", color="red", weight=0];
10.30/4.32	335[label="primPlusNat (primMulNat vz3000 (Succ vz40000)) (Succ vz40000)",fontsize=16,color="magenta"];335 -> 349[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	336[label="Zero",fontsize=16,color="green",shape="box"];337[label="Zero",fontsize=16,color="green",shape="box"];338[label="Zero",fontsize=16,color="green",shape="box"];339[label="pePe (primEqInt (Pos (Succ vz110)) (primMulInt (Pos vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];551[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];339 -> 551[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	551 -> 350[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	552[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];339 -> 552[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	552 -> 351[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	340[label="pePe (primEqInt (Pos (Succ vz110)) (primMulInt (Neg vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];553[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];340 -> 553[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	553 -> 352[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	554[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];340 -> 554[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	554 -> 353[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	341[label="pePe (primEqInt (Pos Zero) (primMulInt (Pos vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];555[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];341 -> 555[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	555 -> 354[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	556[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];341 -> 556[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	556 -> 355[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	342[label="pePe (primEqInt (Pos Zero) (primMulInt (Neg vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];557[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];342 -> 557[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	557 -> 356[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	558[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];342 -> 558[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	558 -> 357[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	394[label="pePe (primEqInt (Neg (Succ vz160)) (primMulInt (Pos vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];559[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];394 -> 559[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	559 -> 401[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	560[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];394 -> 560[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	560 -> 402[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	395[label="pePe (primEqInt (Neg (Succ vz160)) (primMulInt (Neg vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];561[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];395 -> 561[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	561 -> 403[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	562[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];395 -> 562[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	562 -> 404[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	396[label="pePe (primEqInt (Neg Zero) (primMulInt (Pos vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];563[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];396 -> 563[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	563 -> 405[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	564[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];396 -> 564[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	564 -> 406[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	397[label="pePe (primEqInt (Neg Zero) (primMulInt (Neg vz310) vz401)) vz5",fontsize=16,color="burlywood",shape="box"];565[label="vz401/Pos vz4010",fontsize=10,color="white",style="solid",shape="box"];397 -> 565[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	565 -> 407[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	566[label="vz401/Neg vz4010",fontsize=10,color="white",style="solid",shape="box"];397 -> 566[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	566 -> 408[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	349 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	349[label="primMulNat vz3000 (Succ vz40000)",fontsize=16,color="magenta"];349 -> 358[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	349 -> 359[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	348[label="primPlusNat vz15 (Succ vz40000)",fontsize=16,color="burlywood",shape="triangle"];567[label="vz15/Succ vz150",fontsize=10,color="white",style="solid",shape="box"];348 -> 567[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	567 -> 360[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	568[label="vz15/Zero",fontsize=10,color="white",style="solid",shape="box"];348 -> 568[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	568 -> 361[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	350[label="pePe (primEqInt (Pos (Succ vz110)) (primMulInt (Pos vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];350 -> 379[label="",style="solid", color="black", weight=3];
10.30/4.32	351[label="pePe (primEqInt (Pos (Succ vz110)) (primMulInt (Pos vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];351 -> 380[label="",style="solid", color="black", weight=3];
10.30/4.32	352[label="pePe (primEqInt (Pos (Succ vz110)) (primMulInt (Neg vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];352 -> 381[label="",style="solid", color="black", weight=3];
10.30/4.32	353[label="pePe (primEqInt (Pos (Succ vz110)) (primMulInt (Neg vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];353 -> 382[label="",style="solid", color="black", weight=3];
10.30/4.32	354[label="pePe (primEqInt (Pos Zero) (primMulInt (Pos vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];354 -> 383[label="",style="solid", color="black", weight=3];
10.30/4.32	355[label="pePe (primEqInt (Pos Zero) (primMulInt (Pos vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];355 -> 384[label="",style="solid", color="black", weight=3];
10.30/4.32	356[label="pePe (primEqInt (Pos Zero) (primMulInt (Neg vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];356 -> 385[label="",style="solid", color="black", weight=3];
10.30/4.32	357[label="pePe (primEqInt (Pos Zero) (primMulInt (Neg vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];357 -> 386[label="",style="solid", color="black", weight=3];
10.30/4.32	401[label="pePe (primEqInt (Neg (Succ vz160)) (primMulInt (Pos vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];401 -> 412[label="",style="solid", color="black", weight=3];
10.30/4.32	402[label="pePe (primEqInt (Neg (Succ vz160)) (primMulInt (Pos vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];402 -> 413[label="",style="solid", color="black", weight=3];
10.30/4.32	403[label="pePe (primEqInt (Neg (Succ vz160)) (primMulInt (Neg vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];403 -> 414[label="",style="solid", color="black", weight=3];
10.30/4.32	404[label="pePe (primEqInt (Neg (Succ vz160)) (primMulInt (Neg vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];404 -> 415[label="",style="solid", color="black", weight=3];
10.30/4.32	405[label="pePe (primEqInt (Neg Zero) (primMulInt (Pos vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];405 -> 416[label="",style="solid", color="black", weight=3];
10.30/4.32	406[label="pePe (primEqInt (Neg Zero) (primMulInt (Pos vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];406 -> 417[label="",style="solid", color="black", weight=3];
10.30/4.32	407[label="pePe (primEqInt (Neg Zero) (primMulInt (Neg vz310) (Pos vz4010))) vz5",fontsize=16,color="black",shape="box"];407 -> 418[label="",style="solid", color="black", weight=3];
10.30/4.32	408[label="pePe (primEqInt (Neg Zero) (primMulInt (Neg vz310) (Neg vz4010))) vz5",fontsize=16,color="black",shape="box"];408 -> 419[label="",style="solid", color="black", weight=3];
10.30/4.32	358[label="vz3000",fontsize=16,color="green",shape="box"];359[label="Succ vz40000",fontsize=16,color="green",shape="box"];360[label="primPlusNat (Succ vz150) (Succ vz40000)",fontsize=16,color="black",shape="box"];360 -> 387[label="",style="solid", color="black", weight=3];
10.30/4.32	361[label="primPlusNat Zero (Succ vz40000)",fontsize=16,color="black",shape="box"];361 -> 388[label="",style="solid", color="black", weight=3];
10.30/4.32	379 -> 391[label="",style="dashed", color="red", weight=0];
10.30/4.32	379[label="pePe (primEqInt (Pos (Succ vz110)) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];379 -> 392[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	380 -> 398[label="",style="dashed", color="red", weight=0];
10.30/4.32	380[label="pePe (primEqInt (Pos (Succ vz110)) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];380 -> 399[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	381 -> 398[label="",style="dashed", color="red", weight=0];
10.30/4.32	381[label="pePe (primEqInt (Pos (Succ vz110)) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];381 -> 400[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	382 -> 391[label="",style="dashed", color="red", weight=0];
10.30/4.32	382[label="pePe (primEqInt (Pos (Succ vz110)) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];382 -> 393[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	383 -> 409[label="",style="dashed", color="red", weight=0];
10.30/4.32	383[label="pePe (primEqInt (Pos Zero) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];383 -> 410[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	384 -> 420[label="",style="dashed", color="red", weight=0];
10.30/4.32	384[label="pePe (primEqInt (Pos Zero) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];384 -> 421[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	385 -> 420[label="",style="dashed", color="red", weight=0];
10.30/4.32	385[label="pePe (primEqInt (Pos Zero) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];385 -> 422[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	386 -> 409[label="",style="dashed", color="red", weight=0];
10.30/4.32	386[label="pePe (primEqInt (Pos Zero) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];386 -> 411[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	412 -> 423[label="",style="dashed", color="red", weight=0];
10.30/4.32	412[label="pePe (primEqInt (Neg (Succ vz160)) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];412 -> 424[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	413 -> 426[label="",style="dashed", color="red", weight=0];
10.30/4.32	413[label="pePe (primEqInt (Neg (Succ vz160)) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];413 -> 427[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	414 -> 426[label="",style="dashed", color="red", weight=0];
10.30/4.32	414[label="pePe (primEqInt (Neg (Succ vz160)) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];414 -> 428[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	415 -> 423[label="",style="dashed", color="red", weight=0];
10.30/4.32	415[label="pePe (primEqInt (Neg (Succ vz160)) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];415 -> 425[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	416 -> 429[label="",style="dashed", color="red", weight=0];
10.30/4.32	416[label="pePe (primEqInt (Neg Zero) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];416 -> 430[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	417 -> 432[label="",style="dashed", color="red", weight=0];
10.30/4.32	417[label="pePe (primEqInt (Neg Zero) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];417 -> 433[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	418 -> 432[label="",style="dashed", color="red", weight=0];
10.30/4.32	418[label="pePe (primEqInt (Neg Zero) (Neg (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];418 -> 434[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	419 -> 429[label="",style="dashed", color="red", weight=0];
10.30/4.32	419[label="pePe (primEqInt (Neg Zero) (Pos (primMulNat vz310 vz4010))) vz5",fontsize=16,color="magenta"];419 -> 431[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	387[label="Succ (Succ (primPlusNat vz150 vz40000))",fontsize=16,color="green",shape="box"];387 -> 435[label="",style="dashed", color="green", weight=3];
10.30/4.32	388[label="Succ vz40000",fontsize=16,color="green",shape="box"];392 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	392[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];392 -> 436[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	392 -> 437[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	391[label="pePe (primEqInt (Pos (Succ vz110)) (Pos vz17)) vz5",fontsize=16,color="burlywood",shape="triangle"];569[label="vz17/Succ vz170",fontsize=10,color="white",style="solid",shape="box"];391 -> 569[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	569 -> 438[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	570[label="vz17/Zero",fontsize=10,color="white",style="solid",shape="box"];391 -> 570[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	570 -> 439[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	399 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	399[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];399 -> 440[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	399 -> 441[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	398[label="pePe (primEqInt (Pos (Succ vz110)) (Neg vz18)) vz5",fontsize=16,color="black",shape="triangle"];398 -> 442[label="",style="solid", color="black", weight=3];
10.30/4.32	400 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	400[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];400 -> 443[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	400 -> 444[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	393 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	393[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];393 -> 445[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	393 -> 446[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	410 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	410[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];410 -> 447[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	410 -> 448[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	409[label="pePe (primEqInt (Pos Zero) (Pos vz19)) vz5",fontsize=16,color="burlywood",shape="triangle"];571[label="vz19/Succ vz190",fontsize=10,color="white",style="solid",shape="box"];409 -> 571[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	571 -> 449[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	572[label="vz19/Zero",fontsize=10,color="white",style="solid",shape="box"];409 -> 572[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	572 -> 450[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	421 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	421[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];421 -> 451[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	421 -> 452[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	420[label="pePe (primEqInt (Pos Zero) (Neg vz20)) vz5",fontsize=16,color="burlywood",shape="triangle"];573[label="vz20/Succ vz200",fontsize=10,color="white",style="solid",shape="box"];420 -> 573[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	573 -> 453[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	574[label="vz20/Zero",fontsize=10,color="white",style="solid",shape="box"];420 -> 574[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	574 -> 454[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	422 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	422[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];422 -> 455[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	422 -> 456[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	411 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	411[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];411 -> 457[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	411 -> 458[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	424 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	424[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];424 -> 459[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	424 -> 460[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	423[label="pePe (primEqInt (Neg (Succ vz160)) (Pos vz21)) vz5",fontsize=16,color="black",shape="triangle"];423 -> 461[label="",style="solid", color="black", weight=3];
10.30/4.32	427 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	427[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];427 -> 462[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	427 -> 463[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	426[label="pePe (primEqInt (Neg (Succ vz160)) (Neg vz22)) vz5",fontsize=16,color="burlywood",shape="triangle"];575[label="vz22/Succ vz220",fontsize=10,color="white",style="solid",shape="box"];426 -> 575[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	575 -> 464[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	576[label="vz22/Zero",fontsize=10,color="white",style="solid",shape="box"];426 -> 576[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	576 -> 465[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	428 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	428[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];428 -> 466[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	428 -> 467[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	425 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	425[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];425 -> 468[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	425 -> 469[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	430 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	430[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];430 -> 470[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	430 -> 471[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	429[label="pePe (primEqInt (Neg Zero) (Pos vz23)) vz5",fontsize=16,color="burlywood",shape="triangle"];577[label="vz23/Succ vz230",fontsize=10,color="white",style="solid",shape="box"];429 -> 577[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	577 -> 472[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	578[label="vz23/Zero",fontsize=10,color="white",style="solid",shape="box"];429 -> 578[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	578 -> 473[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	433 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	433[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];433 -> 474[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	433 -> 475[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	432[label="pePe (primEqInt (Neg Zero) (Neg vz24)) vz5",fontsize=16,color="burlywood",shape="triangle"];579[label="vz24/Succ vz240",fontsize=10,color="white",style="solid",shape="box"];432 -> 579[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	579 -> 476[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	580[label="vz24/Zero",fontsize=10,color="white",style="solid",shape="box"];432 -> 580[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	580 -> 477[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	434 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	434[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];434 -> 478[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	434 -> 479[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	431 -> 287[label="",style="dashed", color="red", weight=0];
10.30/4.32	431[label="primMulNat vz310 vz4010",fontsize=16,color="magenta"];431 -> 480[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	431 -> 481[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	435[label="primPlusNat vz150 vz40000",fontsize=16,color="burlywood",shape="triangle"];581[label="vz150/Succ vz1500",fontsize=10,color="white",style="solid",shape="box"];435 -> 581[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	581 -> 482[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	582[label="vz150/Zero",fontsize=10,color="white",style="solid",shape="box"];435 -> 582[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	582 -> 483[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	436[label="vz310",fontsize=16,color="green",shape="box"];437[label="vz4010",fontsize=16,color="green",shape="box"];438[label="pePe (primEqInt (Pos (Succ vz110)) (Pos (Succ vz170))) vz5",fontsize=16,color="black",shape="box"];438 -> 484[label="",style="solid", color="black", weight=3];
10.30/4.32	439[label="pePe (primEqInt (Pos (Succ vz110)) (Pos Zero)) vz5",fontsize=16,color="black",shape="box"];439 -> 485[label="",style="solid", color="black", weight=3];
10.30/4.32	440[label="vz310",fontsize=16,color="green",shape="box"];441[label="vz4010",fontsize=16,color="green",shape="box"];442[label="pePe MyFalse vz5",fontsize=16,color="black",shape="triangle"];442 -> 486[label="",style="solid", color="black", weight=3];
10.30/4.32	443[label="vz310",fontsize=16,color="green",shape="box"];444[label="vz4010",fontsize=16,color="green",shape="box"];445[label="vz310",fontsize=16,color="green",shape="box"];446[label="vz4010",fontsize=16,color="green",shape="box"];447[label="vz310",fontsize=16,color="green",shape="box"];448[label="vz4010",fontsize=16,color="green",shape="box"];449[label="pePe (primEqInt (Pos Zero) (Pos (Succ vz190))) vz5",fontsize=16,color="black",shape="box"];449 -> 487[label="",style="solid", color="black", weight=3];
10.30/4.32	450[label="pePe (primEqInt (Pos Zero) (Pos Zero)) vz5",fontsize=16,color="black",shape="box"];450 -> 488[label="",style="solid", color="black", weight=3];
10.30/4.32	451[label="vz310",fontsize=16,color="green",shape="box"];452[label="vz4010",fontsize=16,color="green",shape="box"];453[label="pePe (primEqInt (Pos Zero) (Neg (Succ vz200))) vz5",fontsize=16,color="black",shape="box"];453 -> 489[label="",style="solid", color="black", weight=3];
10.30/4.32	454[label="pePe (primEqInt (Pos Zero) (Neg Zero)) vz5",fontsize=16,color="black",shape="box"];454 -> 490[label="",style="solid", color="black", weight=3];
10.30/4.32	455[label="vz310",fontsize=16,color="green",shape="box"];456[label="vz4010",fontsize=16,color="green",shape="box"];457[label="vz310",fontsize=16,color="green",shape="box"];458[label="vz4010",fontsize=16,color="green",shape="box"];459[label="vz310",fontsize=16,color="green",shape="box"];460[label="vz4010",fontsize=16,color="green",shape="box"];461 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	461[label="pePe MyFalse vz5",fontsize=16,color="magenta"];462[label="vz310",fontsize=16,color="green",shape="box"];463[label="vz4010",fontsize=16,color="green",shape="box"];464[label="pePe (primEqInt (Neg (Succ vz160)) (Neg (Succ vz220))) vz5",fontsize=16,color="black",shape="box"];464 -> 491[label="",style="solid", color="black", weight=3];
10.30/4.32	465[label="pePe (primEqInt (Neg (Succ vz160)) (Neg Zero)) vz5",fontsize=16,color="black",shape="box"];465 -> 492[label="",style="solid", color="black", weight=3];
10.30/4.32	466[label="vz310",fontsize=16,color="green",shape="box"];467[label="vz4010",fontsize=16,color="green",shape="box"];468[label="vz310",fontsize=16,color="green",shape="box"];469[label="vz4010",fontsize=16,color="green",shape="box"];470[label="vz310",fontsize=16,color="green",shape="box"];471[label="vz4010",fontsize=16,color="green",shape="box"];472[label="pePe (primEqInt (Neg Zero) (Pos (Succ vz230))) vz5",fontsize=16,color="black",shape="box"];472 -> 493[label="",style="solid", color="black", weight=3];
10.30/4.32	473[label="pePe (primEqInt (Neg Zero) (Pos Zero)) vz5",fontsize=16,color="black",shape="box"];473 -> 494[label="",style="solid", color="black", weight=3];
10.30/4.32	474[label="vz310",fontsize=16,color="green",shape="box"];475[label="vz4010",fontsize=16,color="green",shape="box"];476[label="pePe (primEqInt (Neg Zero) (Neg (Succ vz240))) vz5",fontsize=16,color="black",shape="box"];476 -> 495[label="",style="solid", color="black", weight=3];
10.30/4.32	477[label="pePe (primEqInt (Neg Zero) (Neg Zero)) vz5",fontsize=16,color="black",shape="box"];477 -> 496[label="",style="solid", color="black", weight=3];
10.30/4.32	478[label="vz310",fontsize=16,color="green",shape="box"];479[label="vz4010",fontsize=16,color="green",shape="box"];480[label="vz310",fontsize=16,color="green",shape="box"];481[label="vz4010",fontsize=16,color="green",shape="box"];482[label="primPlusNat (Succ vz1500) vz40000",fontsize=16,color="burlywood",shape="box"];583[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];482 -> 583[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	583 -> 497[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	584[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];482 -> 584[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	584 -> 498[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	483[label="primPlusNat Zero vz40000",fontsize=16,color="burlywood",shape="box"];585[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];483 -> 585[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	585 -> 499[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	586[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];483 -> 586[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	586 -> 500[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	484[label="pePe (primEqNat vz110 vz170) vz5",fontsize=16,color="burlywood",shape="triangle"];587[label="vz110/Succ vz1100",fontsize=10,color="white",style="solid",shape="box"];484 -> 587[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	587 -> 501[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	588[label="vz110/Zero",fontsize=10,color="white",style="solid",shape="box"];484 -> 588[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	588 -> 502[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	485 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	485[label="pePe MyFalse vz5",fontsize=16,color="magenta"];486[label="vz5",fontsize=16,color="green",shape="box"];487 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	487[label="pePe MyFalse vz5",fontsize=16,color="magenta"];488[label="pePe MyTrue vz5",fontsize=16,color="black",shape="triangle"];488 -> 503[label="",style="solid", color="black", weight=3];
10.30/4.32	489 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	489[label="pePe MyFalse vz5",fontsize=16,color="magenta"];490 -> 488[label="",style="dashed", color="red", weight=0];
10.30/4.32	490[label="pePe MyTrue vz5",fontsize=16,color="magenta"];491 -> 484[label="",style="dashed", color="red", weight=0];
10.30/4.32	491[label="pePe (primEqNat vz160 vz220) vz5",fontsize=16,color="magenta"];491 -> 504[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	491 -> 505[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	492 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	492[label="pePe MyFalse vz5",fontsize=16,color="magenta"];493 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	493[label="pePe MyFalse vz5",fontsize=16,color="magenta"];494 -> 488[label="",style="dashed", color="red", weight=0];
10.30/4.32	494[label="pePe MyTrue vz5",fontsize=16,color="magenta"];495 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	495[label="pePe MyFalse vz5",fontsize=16,color="magenta"];496 -> 488[label="",style="dashed", color="red", weight=0];
10.30/4.32	496[label="pePe MyTrue vz5",fontsize=16,color="magenta"];497[label="primPlusNat (Succ vz1500) (Succ vz400000)",fontsize=16,color="black",shape="box"];497 -> 506[label="",style="solid", color="black", weight=3];
10.30/4.32	498[label="primPlusNat (Succ vz1500) Zero",fontsize=16,color="black",shape="box"];498 -> 507[label="",style="solid", color="black", weight=3];
10.30/4.32	499[label="primPlusNat Zero (Succ vz400000)",fontsize=16,color="black",shape="box"];499 -> 508[label="",style="solid", color="black", weight=3];
10.30/4.32	500[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];500 -> 509[label="",style="solid", color="black", weight=3];
10.30/4.32	501[label="pePe (primEqNat (Succ vz1100) vz170) vz5",fontsize=16,color="burlywood",shape="box"];589[label="vz170/Succ vz1700",fontsize=10,color="white",style="solid",shape="box"];501 -> 589[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	589 -> 510[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	590[label="vz170/Zero",fontsize=10,color="white",style="solid",shape="box"];501 -> 590[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	590 -> 511[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	502[label="pePe (primEqNat Zero vz170) vz5",fontsize=16,color="burlywood",shape="box"];591[label="vz170/Succ vz1700",fontsize=10,color="white",style="solid",shape="box"];502 -> 591[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	591 -> 512[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	592[label="vz170/Zero",fontsize=10,color="white",style="solid",shape="box"];502 -> 592[label="",style="solid", color="burlywood", weight=9];
10.30/4.32	592 -> 513[label="",style="solid", color="burlywood", weight=3];
10.30/4.32	503[label="MyTrue",fontsize=16,color="green",shape="box"];504[label="vz220",fontsize=16,color="green",shape="box"];505[label="vz160",fontsize=16,color="green",shape="box"];506[label="Succ (Succ (primPlusNat vz1500 vz400000))",fontsize=16,color="green",shape="box"];506 -> 514[label="",style="dashed", color="green", weight=3];
10.30/4.32	507[label="Succ vz1500",fontsize=16,color="green",shape="box"];508[label="Succ vz400000",fontsize=16,color="green",shape="box"];509[label="Zero",fontsize=16,color="green",shape="box"];510[label="pePe (primEqNat (Succ vz1100) (Succ vz1700)) vz5",fontsize=16,color="black",shape="box"];510 -> 515[label="",style="solid", color="black", weight=3];
10.30/4.32	511[label="pePe (primEqNat (Succ vz1100) Zero) vz5",fontsize=16,color="black",shape="box"];511 -> 516[label="",style="solid", color="black", weight=3];
10.30/4.32	512[label="pePe (primEqNat Zero (Succ vz1700)) vz5",fontsize=16,color="black",shape="box"];512 -> 517[label="",style="solid", color="black", weight=3];
10.30/4.32	513[label="pePe (primEqNat Zero Zero) vz5",fontsize=16,color="black",shape="box"];513 -> 518[label="",style="solid", color="black", weight=3];
10.30/4.32	514 -> 435[label="",style="dashed", color="red", weight=0];
10.30/4.32	514[label="primPlusNat vz1500 vz400000",fontsize=16,color="magenta"];514 -> 519[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	514 -> 520[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	515 -> 484[label="",style="dashed", color="red", weight=0];
10.30/4.32	515[label="pePe (primEqNat vz1100 vz1700) vz5",fontsize=16,color="magenta"];515 -> 521[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	515 -> 522[label="",style="dashed", color="magenta", weight=3];
10.30/4.32	516 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	516[label="pePe MyFalse vz5",fontsize=16,color="magenta"];517 -> 442[label="",style="dashed", color="red", weight=0];
10.30/4.32	517[label="pePe MyFalse vz5",fontsize=16,color="magenta"];518 -> 488[label="",style="dashed", color="red", weight=0];
10.30/4.32	518[label="pePe MyTrue vz5",fontsize=16,color="magenta"];519[label="vz400000",fontsize=16,color="green",shape="box"];520[label="vz1500",fontsize=16,color="green",shape="box"];521[label="vz1700",fontsize=16,color="green",shape="box"];522[label="vz1100",fontsize=16,color="green",shape="box"];}
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(6)
10.30/4.32	Complex Obligation (AND)
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(7)
10.30/4.32	Obligation:
10.30/4.32	Q DP problem:
10.30/4.32	The TRS P consists of the following rules:
10.30/4.32	
10.30/4.32	   new_foldr(vz3, Cons(vz40, vz41)) -> new_foldr(vz3, vz41)
10.30/4.32	
10.30/4.32	R is empty.
10.30/4.32	Q is empty.
10.30/4.32	We have to consider all minimal (P,Q,R)-chains.
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(8) QDPSizeChangeProof (EQUIVALENT)
10.30/4.32	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. 
10.30/4.32	
10.30/4.32	From the DPs we obtained the following set of size-change graphs:
10.30/4.32	*new_foldr(vz3, Cons(vz40, vz41)) -> new_foldr(vz3, vz41)
10.30/4.32	The graph contains the following edges 1 >= 1, 2 > 2
10.30/4.32	
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(9)
10.30/4.32	YES
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(10)
10.30/4.32	Obligation:
10.30/4.32	Q DP problem:
10.30/4.32	The TRS P consists of the following rules:
10.30/4.32	
10.30/4.32	   new_primMulNat(Main.Succ(vz3000), Main.Succ(vz40000)) -> new_primMulNat(vz3000, Main.Succ(vz40000))
10.30/4.32	
10.30/4.32	R is empty.
10.30/4.32	Q is empty.
10.30/4.32	We have to consider all minimal (P,Q,R)-chains.
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(11) QDPSizeChangeProof (EQUIVALENT)
10.30/4.32	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. 
10.30/4.32	
10.30/4.32	From the DPs we obtained the following set of size-change graphs:
10.30/4.32	*new_primMulNat(Main.Succ(vz3000), Main.Succ(vz40000)) -> new_primMulNat(vz3000, Main.Succ(vz40000))
10.30/4.32	The graph contains the following edges 1 > 1, 2 >= 2
10.30/4.32	
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(12)
10.30/4.32	YES
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(13)
10.30/4.32	Obligation:
10.30/4.32	Q DP problem:
10.30/4.32	The TRS P consists of the following rules:
10.30/4.32	
10.30/4.32	   new_primPlusNat(Main.Succ(vz1500), Main.Succ(vz400000)) -> new_primPlusNat(vz1500, vz400000)
10.30/4.32	
10.30/4.32	R is empty.
10.30/4.32	Q is empty.
10.30/4.32	We have to consider all minimal (P,Q,R)-chains.
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(14) QDPSizeChangeProof (EQUIVALENT)
10.30/4.32	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. 
10.30/4.32	
10.30/4.32	From the DPs we obtained the following set of size-change graphs:
10.30/4.32	*new_primPlusNat(Main.Succ(vz1500), Main.Succ(vz400000)) -> new_primPlusNat(vz1500, vz400000)
10.30/4.32	The graph contains the following edges 1 > 1, 2 > 2
10.30/4.32	
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(15)
10.30/4.32	YES
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(16)
10.30/4.32	Obligation:
10.30/4.32	Q DP problem:
10.30/4.32	The TRS P consists of the following rules:
10.30/4.32	
10.30/4.32	   new_pePe(Main.Succ(vz1100), Main.Succ(vz1700), vz5) -> new_pePe(vz1100, vz1700, vz5)
10.30/4.32	
10.30/4.32	R is empty.
10.30/4.32	Q is empty.
10.30/4.32	We have to consider all minimal (P,Q,R)-chains.
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(17) QDPSizeChangeProof (EQUIVALENT)
10.30/4.32	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. 
10.30/4.32	
10.30/4.32	From the DPs we obtained the following set of size-change graphs:
10.30/4.32	*new_pePe(Main.Succ(vz1100), Main.Succ(vz1700), vz5) -> new_pePe(vz1100, vz1700, vz5)
10.30/4.32	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
10.30/4.32	
10.30/4.32	
10.30/4.32	----------------------------------------
10.30/4.32	
10.30/4.32	(18)
10.30/4.32	YES
10.64/4.36	EOF