11.60/4.48	YES
14.14/5.18	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
14.14/5.18	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
14.14/5.18	
14.14/5.18	
14.14/5.18	H-Termination with start terms of the given HASKELL could be proven:
14.14/5.18	
14.14/5.18	(0) HASKELL
14.14/5.18	(1) BR [EQUIVALENT, 0 ms]
14.14/5.18	(2) HASKELL
14.14/5.18	(3) COR [EQUIVALENT, 0 ms]
14.14/5.18	(4) HASKELL
14.14/5.18	(5) Narrow [SOUND, 0 ms]
14.14/5.18	(6) AND
14.14/5.18	    (7) QDP
14.14/5.18	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	        (9) YES
14.14/5.18	    (10) QDP
14.14/5.18	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	        (12) YES
14.14/5.18	    (13) QDP
14.14/5.18	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	        (15) YES
14.14/5.18	    (16) QDP
14.14/5.18	        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	        (18) YES
14.14/5.18	    (19) QDP
14.14/5.18	        (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	        (21) YES
14.14/5.18	    (22) QDP
14.14/5.18	        (23) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	        (24) YES
14.14/5.18	    (25) QDP
14.14/5.18	        (26) DependencyGraphProof [EQUIVALENT, 0 ms]
14.14/5.18	        (27) AND
14.14/5.18	            (28) QDP
14.14/5.18	                (29) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	                (30) YES
14.14/5.18	            (31) QDP
14.14/5.18	                (32) QDPOrderProof [EQUIVALENT, 30 ms]
14.14/5.18	                (33) QDP
14.14/5.18	                (34) DependencyGraphProof [EQUIVALENT, 0 ms]
14.14/5.18	                (35) QDP
14.14/5.18	                (36) QDPSizeChangeProof [EQUIVALENT, 0 ms]
14.14/5.18	                (37) YES
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(0)
14.14/5.18	Obligation:
14.14/5.18	mainModule Main 
14.14/5.18	module Main where {
14.14/5.18	import qualified Prelude;
14.14/5.18	data MyBool = MyTrue  | MyFalse ;
14.14/5.18	
14.14/5.18	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
14.14/5.18	
14.14/5.18	data Main.Nat = Succ Main.Nat  | Zero ;
14.14/5.18	
14.14/5.18	data Ratio a = CnPc a a ;
14.14/5.18	
14.14/5.18	data Tup2 b a = Tup2 b a ;
14.14/5.18	
14.14/5.18	error :: a;
14.14/5.18	error = stop MyTrue;
14.14/5.18	
14.14/5.18	fromEnumRatio :: Ratio MyInt  ->  MyInt;
14.14/5.18	fromEnumRatio = truncateRatio;
14.14/5.18	
14.14/5.18	fromIntMyInt :: MyInt  ->  MyInt;
14.14/5.18	fromIntMyInt x = x;
14.14/5.18	
14.14/5.18	fromIntRatio :: MyInt  ->  Ratio MyInt;
14.14/5.18	fromIntRatio = intToRatio;
14.14/5.18	
14.14/5.18	intToRatio x = CnPc (fromIntMyInt x) (fromIntMyInt (Main.Pos (Main.Succ Main.Zero)));
14.14/5.18	
14.14/5.18	primDivNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primDivNatS Main.Zero Main.Zero = Main.error;
14.14/5.18	primDivNatS (Main.Succ x) Main.Zero = Main.error;
14.14/5.18	primDivNatS (Main.Succ x) (Main.Succ y) = primDivNatS0 x y (primGEqNatS x y);
14.14/5.18	primDivNatS Main.Zero (Main.Succ x) = Main.Zero;
14.14/5.18	
14.14/5.18	primDivNatS0 x y MyTrue = Main.Succ (primDivNatS (primMinusNatS x y) (Main.Succ y));
14.14/5.18	primDivNatS0 x y MyFalse = Main.Zero;
14.14/5.18	
14.14/5.18	primGEqNatS :: Main.Nat  ->  Main.Nat  ->  MyBool;
14.14/5.18	primGEqNatS (Main.Succ x) Main.Zero = MyTrue;
14.14/5.18	primGEqNatS (Main.Succ x) (Main.Succ y) = primGEqNatS x y;
14.14/5.18	primGEqNatS Main.Zero (Main.Succ x) = MyFalse;
14.14/5.18	primGEqNatS Main.Zero Main.Zero = MyTrue;
14.14/5.18	
14.14/5.18	primMinusNat :: Main.Nat  ->  Main.Nat  ->  MyInt;
14.14/5.18	primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero;
14.14/5.18	primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y);
14.14/5.18	primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x);
14.14/5.18	primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y;
14.14/5.18	
14.14/5.18	primMinusNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primMinusNatS (Main.Succ x) (Main.Succ y) = primMinusNatS x y;
14.14/5.18	primMinusNatS Main.Zero (Main.Succ y) = Main.Zero;
14.14/5.18	primMinusNatS x Main.Zero = x;
14.14/5.18	
14.14/5.18	primModNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primModNatS Main.Zero Main.Zero = Main.error;
14.14/5.18	primModNatS Main.Zero (Main.Succ x) = Main.Zero;
14.14/5.18	primModNatS (Main.Succ x) Main.Zero = Main.error;
14.14/5.18	primModNatS (Main.Succ x) (Main.Succ Main.Zero) = Main.Zero;
14.14/5.18	primModNatS (Main.Succ x) (Main.Succ (Main.Succ y)) = primModNatS0 x y (primGEqNatS x (Main.Succ y));
14.14/5.18	
14.14/5.18	primModNatS0 x y MyTrue = primModNatS (primMinusNatS x (Main.Succ y)) (Main.Succ (Main.Succ y));
14.14/5.18	primModNatS0 x y MyFalse = Main.Succ x;
14.14/5.18	
14.14/5.18	primPlusInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y;
14.14/5.18	primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x;
14.14/5.18	primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y);
14.14/5.18	primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y);
14.14/5.18	
14.14/5.18	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primPlusNat Main.Zero Main.Zero = Main.Zero;
14.14/5.18	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
14.14/5.18	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
14.14/5.18	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
14.14/5.18	
14.14/5.18	primQrmInt :: MyInt  ->  MyInt  ->  Tup2 MyInt MyInt;
14.14/5.18	primQrmInt x y = Tup2 (primQuotInt x y) (primRemInt x y);
14.14/5.18	
14.14/5.18	primQuotInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primQuotInt (Main.Pos x) (Main.Pos (Main.Succ y)) = Main.Pos (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Pos x) (Main.Neg (Main.Succ y)) = Main.Neg (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Neg x) (Main.Pos (Main.Succ y)) = Main.Neg (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Neg x) (Main.Neg (Main.Succ y)) = Main.Pos (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt ww wx = Main.error;
14.14/5.18	
14.14/5.18	primRemInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primRemInt (Main.Pos x) (Main.Pos (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Pos x) (Main.Neg (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Neg x) (Main.Pos (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Neg x) (Main.Neg (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt vy vz = Main.error;
14.14/5.18	
14.14/5.18	properFractionQ xv xw = properFractionQ1 xv xw (properFractionVu30 xv xw);
14.14/5.18	
14.14/5.18	properFractionQ1 xv xw (Tup2 q vw) = q;
14.14/5.18	
14.14/5.18	properFractionR xv xw = properFractionR0 xv xw (properFractionVu30 xv xw);
14.14/5.18	
14.14/5.18	properFractionR0 xv xw (Tup2 vx r) = r;
14.14/5.18	
14.14/5.18	properFractionRatio :: Ratio MyInt  ->  Tup2 MyInt (Ratio MyInt);
14.14/5.18	properFractionRatio (CnPc x y) = Tup2 (fromIntMyInt (properFractionQ x y)) (CnPc (properFractionR x y) y);
14.14/5.18	
14.14/5.18	properFractionVu30 xv xw = quotRemMyInt xv xw;
14.14/5.18	
14.14/5.18	psMyInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	psMyInt = primPlusInt;
14.14/5.18	
14.14/5.18	pt :: (a  ->  c)  ->  (b  ->  a)  ->  b  ->  c;
14.14/5.18	pt f g x = f (g x);
14.14/5.18	
14.14/5.18	quotRemMyInt :: MyInt  ->  MyInt  ->  Tup2 MyInt MyInt;
14.14/5.18	quotRemMyInt = primQrmInt;
14.14/5.18	
14.14/5.18	stop :: MyBool  ->  a;
14.14/5.18	stop MyFalse = stop MyFalse;
14.14/5.18	
14.14/5.18	succRatio :: Ratio MyInt  ->  Ratio MyInt;
14.14/5.18	succRatio = pt toEnumRatio (pt (psMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumRatio);
14.14/5.18	
14.14/5.18	toEnumRatio :: MyInt  ->  Ratio MyInt;
14.14/5.18	toEnumRatio = fromIntRatio;
14.14/5.18	
14.14/5.18	truncateM xu = truncateM0 xu (truncateVu6 xu);
14.14/5.18	
14.14/5.18	truncateM0 xu (Tup2 m vv) = m;
14.14/5.18	
14.14/5.18	truncateRatio :: Ratio MyInt  ->  MyInt;
14.14/5.18	truncateRatio x = truncateM x;
14.14/5.18	
14.14/5.18	truncateVu6 xu = properFractionRatio xu;
14.14/5.18	
14.14/5.18	}
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(1) BR (EQUIVALENT)
14.14/5.18	Replaced joker patterns by fresh variables and removed binding patterns.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(2)
14.14/5.18	Obligation:
14.14/5.18	mainModule Main 
14.14/5.18	module Main where {
14.14/5.18	import qualified Prelude;
14.14/5.18	data MyBool = MyTrue  | MyFalse ;
14.14/5.18	
14.14/5.18	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
14.14/5.18	
14.14/5.18	data Main.Nat = Succ Main.Nat  | Zero ;
14.14/5.18	
14.14/5.18	data Ratio a = CnPc a a ;
14.14/5.18	
14.14/5.18	data Tup2 a b = Tup2 a b ;
14.14/5.18	
14.14/5.18	error :: a;
14.14/5.18	error = stop MyTrue;
14.14/5.18	
14.14/5.18	fromEnumRatio :: Ratio MyInt  ->  MyInt;
14.14/5.18	fromEnumRatio = truncateRatio;
14.14/5.18	
14.14/5.18	fromIntMyInt :: MyInt  ->  MyInt;
14.14/5.18	fromIntMyInt x = x;
14.14/5.18	
14.14/5.18	fromIntRatio :: MyInt  ->  Ratio MyInt;
14.14/5.18	fromIntRatio = intToRatio;
14.14/5.18	
14.14/5.18	intToRatio x = CnPc (fromIntMyInt x) (fromIntMyInt (Main.Pos (Main.Succ Main.Zero)));
14.14/5.18	
14.14/5.18	primDivNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primDivNatS Main.Zero Main.Zero = Main.error;
14.14/5.18	primDivNatS (Main.Succ x) Main.Zero = Main.error;
14.14/5.18	primDivNatS (Main.Succ x) (Main.Succ y) = primDivNatS0 x y (primGEqNatS x y);
14.14/5.18	primDivNatS Main.Zero (Main.Succ x) = Main.Zero;
14.14/5.18	
14.14/5.18	primDivNatS0 x y MyTrue = Main.Succ (primDivNatS (primMinusNatS x y) (Main.Succ y));
14.14/5.18	primDivNatS0 x y MyFalse = Main.Zero;
14.14/5.18	
14.14/5.18	primGEqNatS :: Main.Nat  ->  Main.Nat  ->  MyBool;
14.14/5.18	primGEqNatS (Main.Succ x) Main.Zero = MyTrue;
14.14/5.18	primGEqNatS (Main.Succ x) (Main.Succ y) = primGEqNatS x y;
14.14/5.18	primGEqNatS Main.Zero (Main.Succ x) = MyFalse;
14.14/5.18	primGEqNatS Main.Zero Main.Zero = MyTrue;
14.14/5.18	
14.14/5.18	primMinusNat :: Main.Nat  ->  Main.Nat  ->  MyInt;
14.14/5.18	primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero;
14.14/5.18	primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y);
14.14/5.18	primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x);
14.14/5.18	primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y;
14.14/5.18	
14.14/5.18	primMinusNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primMinusNatS (Main.Succ x) (Main.Succ y) = primMinusNatS x y;
14.14/5.18	primMinusNatS Main.Zero (Main.Succ y) = Main.Zero;
14.14/5.18	primMinusNatS x Main.Zero = x;
14.14/5.18	
14.14/5.18	primModNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primModNatS Main.Zero Main.Zero = Main.error;
14.14/5.18	primModNatS Main.Zero (Main.Succ x) = Main.Zero;
14.14/5.18	primModNatS (Main.Succ x) Main.Zero = Main.error;
14.14/5.18	primModNatS (Main.Succ x) (Main.Succ Main.Zero) = Main.Zero;
14.14/5.18	primModNatS (Main.Succ x) (Main.Succ (Main.Succ y)) = primModNatS0 x y (primGEqNatS x (Main.Succ y));
14.14/5.18	
14.14/5.18	primModNatS0 x y MyTrue = primModNatS (primMinusNatS x (Main.Succ y)) (Main.Succ (Main.Succ y));
14.14/5.18	primModNatS0 x y MyFalse = Main.Succ x;
14.14/5.18	
14.14/5.18	primPlusInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y;
14.14/5.18	primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x;
14.14/5.18	primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y);
14.14/5.18	primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y);
14.14/5.18	
14.14/5.18	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primPlusNat Main.Zero Main.Zero = Main.Zero;
14.14/5.18	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
14.14/5.18	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
14.14/5.18	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
14.14/5.18	
14.14/5.18	primQrmInt :: MyInt  ->  MyInt  ->  Tup2 MyInt MyInt;
14.14/5.18	primQrmInt x y = Tup2 (primQuotInt x y) (primRemInt x y);
14.14/5.18	
14.14/5.18	primQuotInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primQuotInt (Main.Pos x) (Main.Pos (Main.Succ y)) = Main.Pos (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Pos x) (Main.Neg (Main.Succ y)) = Main.Neg (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Neg x) (Main.Pos (Main.Succ y)) = Main.Neg (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Neg x) (Main.Neg (Main.Succ y)) = Main.Pos (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt ww wx = Main.error;
14.14/5.18	
14.14/5.18	primRemInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primRemInt (Main.Pos x) (Main.Pos (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Pos x) (Main.Neg (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Neg x) (Main.Pos (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Neg x) (Main.Neg (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt vy vz = Main.error;
14.14/5.18	
14.14/5.18	properFractionQ xv xw = properFractionQ1 xv xw (properFractionVu30 xv xw);
14.14/5.18	
14.14/5.18	properFractionQ1 xv xw (Tup2 q vw) = q;
14.14/5.18	
14.14/5.18	properFractionR xv xw = properFractionR0 xv xw (properFractionVu30 xv xw);
14.14/5.18	
14.14/5.18	properFractionR0 xv xw (Tup2 vx r) = r;
14.14/5.18	
14.14/5.18	properFractionRatio :: Ratio MyInt  ->  Tup2 MyInt (Ratio MyInt);
14.14/5.18	properFractionRatio (CnPc x y) = Tup2 (fromIntMyInt (properFractionQ x y)) (CnPc (properFractionR x y) y);
14.14/5.18	
14.14/5.18	properFractionVu30 xv xw = quotRemMyInt xv xw;
14.14/5.18	
14.14/5.18	psMyInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	psMyInt = primPlusInt;
14.14/5.18	
14.14/5.18	pt :: (b  ->  a)  ->  (c  ->  b)  ->  c  ->  a;
14.14/5.18	pt f g x = f (g x);
14.14/5.18	
14.14/5.18	quotRemMyInt :: MyInt  ->  MyInt  ->  Tup2 MyInt MyInt;
14.14/5.18	quotRemMyInt = primQrmInt;
14.14/5.18	
14.14/5.18	stop :: MyBool  ->  a;
14.14/5.18	stop MyFalse = stop MyFalse;
14.14/5.18	
14.14/5.18	succRatio :: Ratio MyInt  ->  Ratio MyInt;
14.14/5.18	succRatio = pt toEnumRatio (pt (psMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumRatio);
14.14/5.18	
14.14/5.18	toEnumRatio :: MyInt  ->  Ratio MyInt;
14.14/5.18	toEnumRatio = fromIntRatio;
14.14/5.18	
14.14/5.18	truncateM xu = truncateM0 xu (truncateVu6 xu);
14.14/5.18	
14.14/5.18	truncateM0 xu (Tup2 m vv) = m;
14.14/5.18	
14.14/5.18	truncateRatio :: Ratio MyInt  ->  MyInt;
14.14/5.18	truncateRatio x = truncateM x;
14.14/5.18	
14.14/5.18	truncateVu6 xu = properFractionRatio xu;
14.14/5.18	
14.14/5.18	}
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(3) COR (EQUIVALENT)
14.14/5.18	Cond Reductions:
14.14/5.18	The following Function with conditions
14.14/5.18	"undefined |Falseundefined;
14.14/5.18	"
14.14/5.18	is transformed to
14.14/5.18	"undefined  = undefined1;
14.14/5.18	"
14.14/5.18	"undefined0 True = undefined;
14.14/5.18	"
14.14/5.18	"undefined1  = undefined0 False;
14.14/5.18	"
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(4)
14.14/5.18	Obligation:
14.14/5.18	mainModule Main 
14.14/5.18	module Main where {
14.14/5.18	import qualified Prelude;
14.14/5.18	data MyBool = MyTrue  | MyFalse ;
14.14/5.18	
14.14/5.18	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
14.14/5.18	
14.14/5.18	data Main.Nat = Succ Main.Nat  | Zero ;
14.14/5.18	
14.14/5.18	data Ratio a = CnPc a a ;
14.14/5.18	
14.14/5.18	data Tup2 a b = Tup2 a b ;
14.14/5.18	
14.14/5.18	error :: a;
14.14/5.18	error = stop MyTrue;
14.14/5.18	
14.14/5.18	fromEnumRatio :: Ratio MyInt  ->  MyInt;
14.14/5.18	fromEnumRatio = truncateRatio;
14.14/5.18	
14.14/5.18	fromIntMyInt :: MyInt  ->  MyInt;
14.14/5.18	fromIntMyInt x = x;
14.14/5.18	
14.14/5.18	fromIntRatio :: MyInt  ->  Ratio MyInt;
14.14/5.18	fromIntRatio = intToRatio;
14.14/5.18	
14.14/5.18	intToRatio x = CnPc (fromIntMyInt x) (fromIntMyInt (Main.Pos (Main.Succ Main.Zero)));
14.14/5.18	
14.14/5.18	primDivNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primDivNatS Main.Zero Main.Zero = Main.error;
14.14/5.18	primDivNatS (Main.Succ x) Main.Zero = Main.error;
14.14/5.18	primDivNatS (Main.Succ x) (Main.Succ y) = primDivNatS0 x y (primGEqNatS x y);
14.14/5.18	primDivNatS Main.Zero (Main.Succ x) = Main.Zero;
14.14/5.18	
14.14/5.18	primDivNatS0 x y MyTrue = Main.Succ (primDivNatS (primMinusNatS x y) (Main.Succ y));
14.14/5.18	primDivNatS0 x y MyFalse = Main.Zero;
14.14/5.18	
14.14/5.18	primGEqNatS :: Main.Nat  ->  Main.Nat  ->  MyBool;
14.14/5.18	primGEqNatS (Main.Succ x) Main.Zero = MyTrue;
14.14/5.18	primGEqNatS (Main.Succ x) (Main.Succ y) = primGEqNatS x y;
14.14/5.18	primGEqNatS Main.Zero (Main.Succ x) = MyFalse;
14.14/5.18	primGEqNatS Main.Zero Main.Zero = MyTrue;
14.14/5.18	
14.14/5.18	primMinusNat :: Main.Nat  ->  Main.Nat  ->  MyInt;
14.14/5.18	primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero;
14.14/5.18	primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y);
14.14/5.18	primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x);
14.14/5.18	primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y;
14.14/5.18	
14.14/5.18	primMinusNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primMinusNatS (Main.Succ x) (Main.Succ y) = primMinusNatS x y;
14.14/5.18	primMinusNatS Main.Zero (Main.Succ y) = Main.Zero;
14.14/5.18	primMinusNatS x Main.Zero = x;
14.14/5.18	
14.14/5.18	primModNatS :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primModNatS Main.Zero Main.Zero = Main.error;
14.14/5.18	primModNatS Main.Zero (Main.Succ x) = Main.Zero;
14.14/5.18	primModNatS (Main.Succ x) Main.Zero = Main.error;
14.14/5.18	primModNatS (Main.Succ x) (Main.Succ Main.Zero) = Main.Zero;
14.14/5.18	primModNatS (Main.Succ x) (Main.Succ (Main.Succ y)) = primModNatS0 x y (primGEqNatS x (Main.Succ y));
14.14/5.18	
14.14/5.18	primModNatS0 x y MyTrue = primModNatS (primMinusNatS x (Main.Succ y)) (Main.Succ (Main.Succ y));
14.14/5.18	primModNatS0 x y MyFalse = Main.Succ x;
14.14/5.18	
14.14/5.18	primPlusInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y;
14.14/5.18	primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x;
14.14/5.18	primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y);
14.14/5.18	primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y);
14.14/5.18	
14.14/5.18	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
14.14/5.18	primPlusNat Main.Zero Main.Zero = Main.Zero;
14.14/5.18	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
14.14/5.18	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
14.14/5.18	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
14.14/5.18	
14.14/5.18	primQrmInt :: MyInt  ->  MyInt  ->  Tup2 MyInt MyInt;
14.14/5.18	primQrmInt x y = Tup2 (primQuotInt x y) (primRemInt x y);
14.14/5.18	
14.14/5.18	primQuotInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primQuotInt (Main.Pos x) (Main.Pos (Main.Succ y)) = Main.Pos (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Pos x) (Main.Neg (Main.Succ y)) = Main.Neg (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Neg x) (Main.Pos (Main.Succ y)) = Main.Neg (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt (Main.Neg x) (Main.Neg (Main.Succ y)) = Main.Pos (primDivNatS x (Main.Succ y));
14.14/5.18	primQuotInt ww wx = Main.error;
14.14/5.18	
14.14/5.18	primRemInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	primRemInt (Main.Pos x) (Main.Pos (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Pos x) (Main.Neg (Main.Succ y)) = Main.Pos (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Neg x) (Main.Pos (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt (Main.Neg x) (Main.Neg (Main.Succ y)) = Main.Neg (primModNatS x (Main.Succ y));
14.14/5.18	primRemInt vy vz = Main.error;
14.14/5.18	
14.14/5.18	properFractionQ xv xw = properFractionQ1 xv xw (properFractionVu30 xv xw);
14.14/5.18	
14.14/5.18	properFractionQ1 xv xw (Tup2 q vw) = q;
14.14/5.18	
14.14/5.18	properFractionR xv xw = properFractionR0 xv xw (properFractionVu30 xv xw);
14.14/5.18	
14.14/5.18	properFractionR0 xv xw (Tup2 vx r) = r;
14.14/5.18	
14.14/5.18	properFractionRatio :: Ratio MyInt  ->  Tup2 MyInt (Ratio MyInt);
14.14/5.18	properFractionRatio (CnPc x y) = Tup2 (fromIntMyInt (properFractionQ x y)) (CnPc (properFractionR x y) y);
14.14/5.18	
14.14/5.18	properFractionVu30 xv xw = quotRemMyInt xv xw;
14.14/5.18	
14.14/5.18	psMyInt :: MyInt  ->  MyInt  ->  MyInt;
14.14/5.18	psMyInt = primPlusInt;
14.14/5.18	
14.14/5.18	pt :: (b  ->  a)  ->  (c  ->  b)  ->  c  ->  a;
14.14/5.18	pt f g x = f (g x);
14.14/5.18	
14.14/5.18	quotRemMyInt :: MyInt  ->  MyInt  ->  Tup2 MyInt MyInt;
14.14/5.18	quotRemMyInt = primQrmInt;
14.14/5.18	
14.14/5.18	stop :: MyBool  ->  a;
14.14/5.18	stop MyFalse = stop MyFalse;
14.14/5.18	
14.14/5.18	succRatio :: Ratio MyInt  ->  Ratio MyInt;
14.14/5.18	succRatio = pt toEnumRatio (pt (psMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumRatio);
14.14/5.18	
14.14/5.18	toEnumRatio :: MyInt  ->  Ratio MyInt;
14.14/5.18	toEnumRatio = fromIntRatio;
14.14/5.18	
14.14/5.18	truncateM xu = truncateM0 xu (truncateVu6 xu);
14.14/5.18	
14.14/5.18	truncateM0 xu (Tup2 m vv) = m;
14.14/5.18	
14.14/5.18	truncateRatio :: Ratio MyInt  ->  MyInt;
14.14/5.18	truncateRatio x = truncateM x;
14.14/5.18	
14.14/5.18	truncateVu6 xu = properFractionRatio xu;
14.14/5.18	
14.14/5.18	}
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(5) Narrow (SOUND)
14.14/5.18	Haskell To QDPs
14.14/5.18	
14.14/5.18	digraph dp_graph {
14.14/5.18	node [outthreshold=100, inthreshold=100];1[label="succRatio",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
14.14/5.18	3[label="succRatio wy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
14.14/5.18	4[label="pt toEnumRatio (pt (psMyInt (Pos (Succ Zero))) fromEnumRatio) wy3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
14.14/5.18	5[label="toEnumRatio (pt (psMyInt (Pos (Succ Zero))) fromEnumRatio wy3)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
14.14/5.18	6[label="fromIntRatio (pt (psMyInt (Pos (Succ Zero))) fromEnumRatio wy3)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
14.14/5.18	7[label="intToRatio (pt (psMyInt (Pos (Succ Zero))) fromEnumRatio wy3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
14.14/5.18	8[label="CnPc (fromIntMyInt (pt (psMyInt (Pos (Succ Zero))) fromEnumRatio wy3)) (fromIntMyInt (Pos (Succ Zero)))",fontsize=16,color="green",shape="box"];8 -> 9[label="",style="dashed", color="green", weight=3];
14.14/5.18	8 -> 10[label="",style="dashed", color="green", weight=3];
14.14/5.18	9[label="fromIntMyInt (pt (psMyInt (Pos (Succ Zero))) fromEnumRatio wy3)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
14.14/5.18	10[label="fromIntMyInt (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
14.14/5.18	11[label="pt (psMyInt (Pos (Succ Zero))) fromEnumRatio wy3",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
14.14/5.18	12[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];13[label="psMyInt (Pos (Succ Zero)) (fromEnumRatio wy3)",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3];
14.14/5.18	14[label="primPlusInt (Pos (Succ Zero)) (fromEnumRatio wy3)",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3];
14.14/5.18	15[label="primPlusInt (Pos (Succ Zero)) (truncateRatio wy3)",fontsize=16,color="black",shape="box"];15 -> 16[label="",style="solid", color="black", weight=3];
14.14/5.18	16[label="primPlusInt (Pos (Succ Zero)) (truncateM wy3)",fontsize=16,color="black",shape="box"];16 -> 17[label="",style="solid", color="black", weight=3];
14.14/5.18	17[label="primPlusInt (Pos (Succ Zero)) (truncateM0 wy3 (truncateVu6 wy3))",fontsize=16,color="black",shape="box"];17 -> 18[label="",style="solid", color="black", weight=3];
14.14/5.18	18[label="primPlusInt (Pos (Succ Zero)) (truncateM0 wy3 (properFractionRatio wy3))",fontsize=16,color="burlywood",shape="box"];2389[label="wy3/CnPc wy30 wy31",fontsize=10,color="white",style="solid",shape="box"];18 -> 2389[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2389 -> 19[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	19[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (CnPc wy30 wy31) (properFractionRatio (CnPc wy30 wy31)))",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3];
14.14/5.18	20[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (CnPc wy30 wy31) (Tup2 (fromIntMyInt (properFractionQ wy30 wy31)) (CnPc (properFractionR wy30 wy31) wy31)))",fontsize=16,color="black",shape="box"];20 -> 21[label="",style="solid", color="black", weight=3];
14.14/5.18	21[label="primPlusInt (Pos (Succ Zero)) (fromIntMyInt (properFractionQ wy30 wy31))",fontsize=16,color="black",shape="box"];21 -> 22[label="",style="solid", color="black", weight=3];
14.14/5.18	22[label="primPlusInt (Pos (Succ Zero)) (properFractionQ wy30 wy31)",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3];
14.14/5.18	23[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 wy30 wy31 (properFractionVu30 wy30 wy31))",fontsize=16,color="black",shape="box"];23 -> 24[label="",style="solid", color="black", weight=3];
14.14/5.18	24[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 wy30 wy31 (quotRemMyInt wy30 wy31))",fontsize=16,color="black",shape="box"];24 -> 25[label="",style="solid", color="black", weight=3];
14.14/5.18	25[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 wy30 wy31 (primQrmInt wy30 wy31))",fontsize=16,color="black",shape="box"];25 -> 26[label="",style="solid", color="black", weight=3];
14.14/5.18	26[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 wy30 wy31 (Tup2 (primQuotInt wy30 wy31) (primRemInt wy30 wy31)))",fontsize=16,color="black",shape="box"];26 -> 27[label="",style="solid", color="black", weight=3];
14.14/5.18	27[label="primPlusInt (Pos (Succ Zero)) (primQuotInt wy30 wy31)",fontsize=16,color="burlywood",shape="box"];2390[label="wy30/Pos wy300",fontsize=10,color="white",style="solid",shape="box"];27 -> 2390[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2390 -> 28[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2391[label="wy30/Neg wy300",fontsize=10,color="white",style="solid",shape="box"];27 -> 2391[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2391 -> 29[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	28[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos wy300) wy31)",fontsize=16,color="burlywood",shape="box"];2392[label="wy31/Pos wy310",fontsize=10,color="white",style="solid",shape="box"];28 -> 2392[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2392 -> 30[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2393[label="wy31/Neg wy310",fontsize=10,color="white",style="solid",shape="box"];28 -> 2393[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2393 -> 31[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	29[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg wy300) wy31)",fontsize=16,color="burlywood",shape="box"];2394[label="wy31/Pos wy310",fontsize=10,color="white",style="solid",shape="box"];29 -> 2394[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2394 -> 32[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2395[label="wy31/Neg wy310",fontsize=10,color="white",style="solid",shape="box"];29 -> 2395[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2395 -> 33[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	30[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos wy300) (Pos wy310))",fontsize=16,color="burlywood",shape="box"];2396[label="wy310/Succ wy3100",fontsize=10,color="white",style="solid",shape="box"];30 -> 2396[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2396 -> 34[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2397[label="wy310/Zero",fontsize=10,color="white",style="solid",shape="box"];30 -> 2397[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2397 -> 35[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	31[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos wy300) (Neg wy310))",fontsize=16,color="burlywood",shape="box"];2398[label="wy310/Succ wy3100",fontsize=10,color="white",style="solid",shape="box"];31 -> 2398[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2398 -> 36[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2399[label="wy310/Zero",fontsize=10,color="white",style="solid",shape="box"];31 -> 2399[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2399 -> 37[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	32[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg wy300) (Pos wy310))",fontsize=16,color="burlywood",shape="box"];2400[label="wy310/Succ wy3100",fontsize=10,color="white",style="solid",shape="box"];32 -> 2400[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2400 -> 38[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2401[label="wy310/Zero",fontsize=10,color="white",style="solid",shape="box"];32 -> 2401[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2401 -> 39[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	33[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg wy300) (Neg wy310))",fontsize=16,color="burlywood",shape="box"];2402[label="wy310/Succ wy3100",fontsize=10,color="white",style="solid",shape="box"];33 -> 2402[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2402 -> 40[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2403[label="wy310/Zero",fontsize=10,color="white",style="solid",shape="box"];33 -> 2403[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2403 -> 41[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	34[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos wy300) (Pos (Succ wy3100)))",fontsize=16,color="black",shape="box"];34 -> 42[label="",style="solid", color="black", weight=3];
14.14/5.18	35[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos wy300) (Pos Zero))",fontsize=16,color="black",shape="box"];35 -> 43[label="",style="solid", color="black", weight=3];
14.14/5.18	36[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos wy300) (Neg (Succ wy3100)))",fontsize=16,color="black",shape="box"];36 -> 44[label="",style="solid", color="black", weight=3];
14.14/5.18	37[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos wy300) (Neg Zero))",fontsize=16,color="black",shape="box"];37 -> 45[label="",style="solid", color="black", weight=3];
14.14/5.18	38[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg wy300) (Pos (Succ wy3100)))",fontsize=16,color="black",shape="box"];38 -> 46[label="",style="solid", color="black", weight=3];
14.14/5.18	39[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg wy300) (Pos Zero))",fontsize=16,color="black",shape="box"];39 -> 47[label="",style="solid", color="black", weight=3];
14.14/5.18	40[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg wy300) (Neg (Succ wy3100)))",fontsize=16,color="black",shape="box"];40 -> 48[label="",style="solid", color="black", weight=3];
14.14/5.18	41[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg wy300) (Neg Zero))",fontsize=16,color="black",shape="box"];41 -> 49[label="",style="solid", color="black", weight=3];
14.14/5.18	42[label="primPlusInt (Pos (Succ Zero)) (Pos (primDivNatS wy300 (Succ wy3100)))",fontsize=16,color="black",shape="triangle"];42 -> 50[label="",style="solid", color="black", weight=3];
14.14/5.18	43[label="primPlusInt (Pos (Succ Zero)) error",fontsize=16,color="black",shape="triangle"];43 -> 51[label="",style="solid", color="black", weight=3];
14.14/5.18	44[label="primPlusInt (Pos (Succ Zero)) (Neg (primDivNatS wy300 (Succ wy3100)))",fontsize=16,color="black",shape="triangle"];44 -> 52[label="",style="solid", color="black", weight=3];
14.14/5.18	45 -> 43[label="",style="dashed", color="red", weight=0];
14.14/5.18	45[label="primPlusInt (Pos (Succ Zero)) error",fontsize=16,color="magenta"];46 -> 44[label="",style="dashed", color="red", weight=0];
14.14/5.18	46[label="primPlusInt (Pos (Succ Zero)) (Neg (primDivNatS wy300 (Succ wy3100)))",fontsize=16,color="magenta"];46 -> 53[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	46 -> 54[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	47 -> 43[label="",style="dashed", color="red", weight=0];
14.14/5.18	47[label="primPlusInt (Pos (Succ Zero)) error",fontsize=16,color="magenta"];48 -> 42[label="",style="dashed", color="red", weight=0];
14.14/5.18	48[label="primPlusInt (Pos (Succ Zero)) (Pos (primDivNatS wy300 (Succ wy3100)))",fontsize=16,color="magenta"];48 -> 55[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	48 -> 56[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	49 -> 43[label="",style="dashed", color="red", weight=0];
14.14/5.18	49[label="primPlusInt (Pos (Succ Zero)) error",fontsize=16,color="magenta"];50[label="Pos (primPlusNat (Succ Zero) (primDivNatS wy300 (Succ wy3100)))",fontsize=16,color="green",shape="box"];50 -> 57[label="",style="dashed", color="green", weight=3];
14.14/5.18	51[label="primPlusInt (Pos (Succ Zero)) (stop MyTrue)",fontsize=16,color="black",shape="box"];51 -> 58[label="",style="solid", color="black", weight=3];
14.14/5.18	52[label="primMinusNat (Succ Zero) (primDivNatS wy300 (Succ wy3100))",fontsize=16,color="burlywood",shape="box"];2404[label="wy300/Succ wy3000",fontsize=10,color="white",style="solid",shape="box"];52 -> 2404[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2404 -> 59[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2405[label="wy300/Zero",fontsize=10,color="white",style="solid",shape="box"];52 -> 2405[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2405 -> 60[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	53[label="wy300",fontsize=16,color="green",shape="box"];54[label="wy3100",fontsize=16,color="green",shape="box"];55[label="wy300",fontsize=16,color="green",shape="box"];56[label="wy3100",fontsize=16,color="green",shape="box"];57[label="primPlusNat (Succ Zero) (primDivNatS wy300 (Succ wy3100))",fontsize=16,color="burlywood",shape="box"];2406[label="wy300/Succ wy3000",fontsize=10,color="white",style="solid",shape="box"];57 -> 2406[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2406 -> 61[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2407[label="wy300/Zero",fontsize=10,color="white",style="solid",shape="box"];57 -> 2407[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2407 -> 62[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	58[label="error []",fontsize=16,color="red",shape="box"];59[label="primMinusNat (Succ Zero) (primDivNatS (Succ wy3000) (Succ wy3100))",fontsize=16,color="black",shape="box"];59 -> 63[label="",style="solid", color="black", weight=3];
14.14/5.18	60[label="primMinusNat (Succ Zero) (primDivNatS Zero (Succ wy3100))",fontsize=16,color="black",shape="box"];60 -> 64[label="",style="solid", color="black", weight=3];
14.14/5.18	61[label="primPlusNat (Succ Zero) (primDivNatS (Succ wy3000) (Succ wy3100))",fontsize=16,color="black",shape="box"];61 -> 65[label="",style="solid", color="black", weight=3];
14.14/5.18	62[label="primPlusNat (Succ Zero) (primDivNatS Zero (Succ wy3100))",fontsize=16,color="black",shape="box"];62 -> 66[label="",style="solid", color="black", weight=3];
14.14/5.18	63[label="primMinusNat (Succ Zero) (primDivNatS0 wy3000 wy3100 (primGEqNatS wy3000 wy3100))",fontsize=16,color="burlywood",shape="box"];2408[label="wy3000/Succ wy30000",fontsize=10,color="white",style="solid",shape="box"];63 -> 2408[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2408 -> 67[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2409[label="wy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];63 -> 2409[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2409 -> 68[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	64[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="black",shape="triangle"];64 -> 69[label="",style="solid", color="black", weight=3];
14.14/5.18	65[label="primPlusNat (Succ Zero) (primDivNatS0 wy3000 wy3100 (primGEqNatS wy3000 wy3100))",fontsize=16,color="burlywood",shape="box"];2410[label="wy3000/Succ wy30000",fontsize=10,color="white",style="solid",shape="box"];65 -> 2410[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2410 -> 70[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2411[label="wy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];65 -> 2411[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2411 -> 71[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	66[label="primPlusNat (Succ Zero) Zero",fontsize=16,color="black",shape="triangle"];66 -> 72[label="",style="solid", color="black", weight=3];
14.14/5.18	67[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy30000) wy3100 (primGEqNatS (Succ wy30000) wy3100))",fontsize=16,color="burlywood",shape="box"];2412[label="wy3100/Succ wy31000",fontsize=10,color="white",style="solid",shape="box"];67 -> 2412[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2412 -> 73[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2413[label="wy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];67 -> 2413[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2413 -> 74[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	68[label="primMinusNat (Succ Zero) (primDivNatS0 Zero wy3100 (primGEqNatS Zero wy3100))",fontsize=16,color="burlywood",shape="box"];2414[label="wy3100/Succ wy31000",fontsize=10,color="white",style="solid",shape="box"];68 -> 2414[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2414 -> 75[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2415[label="wy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];68 -> 2415[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2415 -> 76[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	69[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];70[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy30000) wy3100 (primGEqNatS (Succ wy30000) wy3100))",fontsize=16,color="burlywood",shape="box"];2416[label="wy3100/Succ wy31000",fontsize=10,color="white",style="solid",shape="box"];70 -> 2416[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2416 -> 77[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2417[label="wy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];70 -> 2417[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2417 -> 78[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	71[label="primPlusNat (Succ Zero) (primDivNatS0 Zero wy3100 (primGEqNatS Zero wy3100))",fontsize=16,color="burlywood",shape="box"];2418[label="wy3100/Succ wy31000",fontsize=10,color="white",style="solid",shape="box"];71 -> 2418[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2418 -> 79[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2419[label="wy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];71 -> 2419[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2419 -> 80[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	72[label="Succ Zero",fontsize=16,color="green",shape="box"];73[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy30000) (Succ wy31000) (primGEqNatS (Succ wy30000) (Succ wy31000)))",fontsize=16,color="black",shape="box"];73 -> 81[label="",style="solid", color="black", weight=3];
14.14/5.18	74[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy30000) Zero (primGEqNatS (Succ wy30000) Zero))",fontsize=16,color="black",shape="box"];74 -> 82[label="",style="solid", color="black", weight=3];
14.14/5.18	75[label="primMinusNat (Succ Zero) (primDivNatS0 Zero (Succ wy31000) (primGEqNatS Zero (Succ wy31000)))",fontsize=16,color="black",shape="box"];75 -> 83[label="",style="solid", color="black", weight=3];
14.14/5.18	76[label="primMinusNat (Succ Zero) (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];76 -> 84[label="",style="solid", color="black", weight=3];
14.14/5.18	77[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy30000) (Succ wy31000) (primGEqNatS (Succ wy30000) (Succ wy31000)))",fontsize=16,color="black",shape="box"];77 -> 85[label="",style="solid", color="black", weight=3];
14.14/5.18	78[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy30000) Zero (primGEqNatS (Succ wy30000) Zero))",fontsize=16,color="black",shape="box"];78 -> 86[label="",style="solid", color="black", weight=3];
14.14/5.18	79[label="primPlusNat (Succ Zero) (primDivNatS0 Zero (Succ wy31000) (primGEqNatS Zero (Succ wy31000)))",fontsize=16,color="black",shape="box"];79 -> 87[label="",style="solid", color="black", weight=3];
14.14/5.18	80[label="primPlusNat (Succ Zero) (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];80 -> 88[label="",style="solid", color="black", weight=3];
14.14/5.18	81 -> 692[label="",style="dashed", color="red", weight=0];
14.14/5.18	81[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy30000) (Succ wy31000) (primGEqNatS wy30000 wy31000))",fontsize=16,color="magenta"];81 -> 693[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	81 -> 694[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	81 -> 695[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	81 -> 696[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	82[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy30000) Zero MyTrue)",fontsize=16,color="black",shape="box"];82 -> 91[label="",style="solid", color="black", weight=3];
14.14/5.18	83[label="primMinusNat (Succ Zero) (primDivNatS0 Zero (Succ wy31000) MyFalse)",fontsize=16,color="black",shape="box"];83 -> 92[label="",style="solid", color="black", weight=3];
14.14/5.18	84[label="primMinusNat (Succ Zero) (primDivNatS0 Zero Zero MyTrue)",fontsize=16,color="black",shape="box"];84 -> 93[label="",style="solid", color="black", weight=3];
14.14/5.18	85 -> 735[label="",style="dashed", color="red", weight=0];
14.14/5.18	85[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy30000) (Succ wy31000) (primGEqNatS wy30000 wy31000))",fontsize=16,color="magenta"];85 -> 736[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	85 -> 737[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	85 -> 738[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	85 -> 739[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	86[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy30000) Zero MyTrue)",fontsize=16,color="black",shape="box"];86 -> 96[label="",style="solid", color="black", weight=3];
14.14/5.18	87[label="primPlusNat (Succ Zero) (primDivNatS0 Zero (Succ wy31000) MyFalse)",fontsize=16,color="black",shape="box"];87 -> 97[label="",style="solid", color="black", weight=3];
14.14/5.18	88[label="primPlusNat (Succ Zero) (primDivNatS0 Zero Zero MyTrue)",fontsize=16,color="black",shape="box"];88 -> 98[label="",style="solid", color="black", weight=3];
14.14/5.18	693[label="wy31000",fontsize=16,color="green",shape="box"];694[label="wy30000",fontsize=16,color="green",shape="box"];695[label="wy30000",fontsize=16,color="green",shape="box"];696[label="wy31000",fontsize=16,color="green",shape="box"];692[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS wy47 wy48))",fontsize=16,color="burlywood",shape="triangle"];2420[label="wy47/Succ wy470",fontsize=10,color="white",style="solid",shape="box"];692 -> 2420[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2420 -> 733[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2421[label="wy47/Zero",fontsize=10,color="white",style="solid",shape="box"];692 -> 2421[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2421 -> 734[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	91[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ wy30000) Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];91 -> 103[label="",style="solid", color="black", weight=3];
14.14/5.18	92 -> 64[label="",style="dashed", color="red", weight=0];
14.14/5.18	92[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="magenta"];93[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];93 -> 104[label="",style="solid", color="black", weight=3];
14.14/5.18	736[label="wy31000",fontsize=16,color="green",shape="box"];737[label="wy30000",fontsize=16,color="green",shape="box"];738[label="wy31000",fontsize=16,color="green",shape="box"];739[label="wy30000",fontsize=16,color="green",shape="box"];735[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS wy52 wy53))",fontsize=16,color="burlywood",shape="triangle"];2422[label="wy52/Succ wy520",fontsize=10,color="white",style="solid",shape="box"];735 -> 2422[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2422 -> 776[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2423[label="wy52/Zero",fontsize=10,color="white",style="solid",shape="box"];735 -> 2423[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2423 -> 777[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	96[label="primPlusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ wy30000) Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];96 -> 109[label="",style="solid", color="black", weight=3];
14.14/5.18	97 -> 66[label="",style="dashed", color="red", weight=0];
14.14/5.18	97[label="primPlusNat (Succ Zero) Zero",fontsize=16,color="magenta"];98[label="primPlusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];98 -> 110[label="",style="solid", color="black", weight=3];
14.14/5.18	733[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS (Succ wy470) wy48))",fontsize=16,color="burlywood",shape="box"];2424[label="wy48/Succ wy480",fontsize=10,color="white",style="solid",shape="box"];733 -> 2424[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2424 -> 778[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2425[label="wy48/Zero",fontsize=10,color="white",style="solid",shape="box"];733 -> 2425[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2425 -> 779[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	734[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS Zero wy48))",fontsize=16,color="burlywood",shape="box"];2426[label="wy48/Succ wy480",fontsize=10,color="white",style="solid",shape="box"];734 -> 2426[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2426 -> 780[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2427[label="wy48/Zero",fontsize=10,color="white",style="solid",shape="box"];734 -> 2427[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2427 -> 781[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	103 -> 1195[label="",style="dashed", color="red", weight=0];
14.14/5.18	103[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ wy30000) Zero) (Succ Zero))",fontsize=16,color="magenta"];103 -> 1196[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	103 -> 1197[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	103 -> 1198[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	104 -> 1195[label="",style="dashed", color="red", weight=0];
14.14/5.18	104[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="magenta"];104 -> 1199[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	104 -> 1200[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	104 -> 1201[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	776[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS (Succ wy520) wy53))",fontsize=16,color="burlywood",shape="box"];2428[label="wy53/Succ wy530",fontsize=10,color="white",style="solid",shape="box"];776 -> 2428[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2428 -> 782[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2429[label="wy53/Zero",fontsize=10,color="white",style="solid",shape="box"];776 -> 2429[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2429 -> 783[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	777[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS Zero wy53))",fontsize=16,color="burlywood",shape="box"];2430[label="wy53/Succ wy530",fontsize=10,color="white",style="solid",shape="box"];777 -> 2430[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2430 -> 784[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2431[label="wy53/Zero",fontsize=10,color="white",style="solid",shape="box"];777 -> 2431[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2431 -> 785[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	109[label="Succ (Succ (primPlusNat Zero (primDivNatS (primMinusNatS (Succ wy30000) Zero) (Succ Zero))))",fontsize=16,color="green",shape="box"];109 -> 121[label="",style="dashed", color="green", weight=3];
14.14/5.18	110[label="Succ (Succ (primPlusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="green",shape="box"];110 -> 122[label="",style="dashed", color="green", weight=3];
14.14/5.18	778[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS (Succ wy470) (Succ wy480)))",fontsize=16,color="black",shape="box"];778 -> 786[label="",style="solid", color="black", weight=3];
14.14/5.18	779[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS (Succ wy470) Zero))",fontsize=16,color="black",shape="box"];779 -> 787[label="",style="solid", color="black", weight=3];
14.14/5.18	780[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS Zero (Succ wy480)))",fontsize=16,color="black",shape="box"];780 -> 788[label="",style="solid", color="black", weight=3];
14.14/5.18	781[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];781 -> 789[label="",style="solid", color="black", weight=3];
14.14/5.18	1196[label="Succ wy30000",fontsize=16,color="green",shape="box"];1197[label="Zero",fontsize=16,color="green",shape="box"];1198[label="Zero",fontsize=16,color="green",shape="box"];1195[label="primMinusNat Zero (primDivNatS (primMinusNatS wy57 wy58) (Succ wy59))",fontsize=16,color="burlywood",shape="triangle"];2432[label="wy57/Succ wy570",fontsize=10,color="white",style="solid",shape="box"];1195 -> 2432[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2432 -> 1229[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2433[label="wy57/Zero",fontsize=10,color="white",style="solid",shape="box"];1195 -> 2433[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2433 -> 1230[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1199[label="Zero",fontsize=16,color="green",shape="box"];1200[label="Zero",fontsize=16,color="green",shape="box"];1201[label="Zero",fontsize=16,color="green",shape="box"];782[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS (Succ wy520) (Succ wy530)))",fontsize=16,color="black",shape="box"];782 -> 790[label="",style="solid", color="black", weight=3];
14.14/5.18	783[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS (Succ wy520) Zero))",fontsize=16,color="black",shape="box"];783 -> 791[label="",style="solid", color="black", weight=3];
14.14/5.18	784[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS Zero (Succ wy530)))",fontsize=16,color="black",shape="box"];784 -> 792[label="",style="solid", color="black", weight=3];
14.14/5.18	785[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];785 -> 793[label="",style="solid", color="black", weight=3];
14.14/5.18	121 -> 1250[label="",style="dashed", color="red", weight=0];
14.14/5.18	121[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ wy30000) Zero) (Succ Zero))",fontsize=16,color="magenta"];121 -> 1251[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	121 -> 1252[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	121 -> 1253[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	122 -> 1250[label="",style="dashed", color="red", weight=0];
14.14/5.18	122[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="magenta"];122 -> 1254[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	122 -> 1255[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	122 -> 1256[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	786 -> 692[label="",style="dashed", color="red", weight=0];
14.14/5.18	786[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) (primGEqNatS wy470 wy480))",fontsize=16,color="magenta"];786 -> 794[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	786 -> 795[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	787[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) MyTrue)",fontsize=16,color="black",shape="triangle"];787 -> 796[label="",style="solid", color="black", weight=3];
14.14/5.18	788[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) MyFalse)",fontsize=16,color="black",shape="box"];788 -> 797[label="",style="solid", color="black", weight=3];
14.14/5.18	789 -> 787[label="",style="dashed", color="red", weight=0];
14.14/5.18	789[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ wy45) (Succ wy46) MyTrue)",fontsize=16,color="magenta"];1229[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ wy570) wy58) (Succ wy59))",fontsize=16,color="burlywood",shape="box"];2434[label="wy58/Succ wy580",fontsize=10,color="white",style="solid",shape="box"];1229 -> 2434[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2434 -> 1246[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2435[label="wy58/Zero",fontsize=10,color="white",style="solid",shape="box"];1229 -> 2435[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2435 -> 1247[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1230[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero wy58) (Succ wy59))",fontsize=16,color="burlywood",shape="box"];2436[label="wy58/Succ wy580",fontsize=10,color="white",style="solid",shape="box"];1230 -> 2436[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2436 -> 1248[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2437[label="wy58/Zero",fontsize=10,color="white",style="solid",shape="box"];1230 -> 2437[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2437 -> 1249[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	790 -> 735[label="",style="dashed", color="red", weight=0];
14.14/5.18	790[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) (primGEqNatS wy520 wy530))",fontsize=16,color="magenta"];790 -> 798[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	790 -> 799[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	791[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) MyTrue)",fontsize=16,color="black",shape="triangle"];791 -> 800[label="",style="solid", color="black", weight=3];
14.14/5.18	792[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) MyFalse)",fontsize=16,color="black",shape="box"];792 -> 801[label="",style="solid", color="black", weight=3];
14.14/5.18	793 -> 791[label="",style="dashed", color="red", weight=0];
14.14/5.18	793[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ wy50) (Succ wy51) MyTrue)",fontsize=16,color="magenta"];1251[label="Succ wy30000",fontsize=16,color="green",shape="box"];1252[label="Zero",fontsize=16,color="green",shape="box"];1253[label="Zero",fontsize=16,color="green",shape="box"];1250[label="primPlusNat Zero (primDivNatS (primMinusNatS wy61 wy62) (Succ wy63))",fontsize=16,color="burlywood",shape="triangle"];2438[label="wy61/Succ wy610",fontsize=10,color="white",style="solid",shape="box"];1250 -> 2438[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2438 -> 1284[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2439[label="wy61/Zero",fontsize=10,color="white",style="solid",shape="box"];1250 -> 2439[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2439 -> 1285[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1254[label="Zero",fontsize=16,color="green",shape="box"];1255[label="Zero",fontsize=16,color="green",shape="box"];1256[label="Zero",fontsize=16,color="green",shape="box"];794[label="wy470",fontsize=16,color="green",shape="box"];795[label="wy480",fontsize=16,color="green",shape="box"];796[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ wy45) (Succ wy46)) (Succ (Succ wy46))))",fontsize=16,color="black",shape="box"];796 -> 802[label="",style="solid", color="black", weight=3];
14.14/5.18	797 -> 64[label="",style="dashed", color="red", weight=0];
14.14/5.18	797[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="magenta"];1246[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ wy570) (Succ wy580)) (Succ wy59))",fontsize=16,color="black",shape="box"];1246 -> 1286[label="",style="solid", color="black", weight=3];
14.14/5.18	1247[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ wy570) Zero) (Succ wy59))",fontsize=16,color="black",shape="box"];1247 -> 1287[label="",style="solid", color="black", weight=3];
14.14/5.18	1248[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero (Succ wy580)) (Succ wy59))",fontsize=16,color="black",shape="box"];1248 -> 1288[label="",style="solid", color="black", weight=3];
14.14/5.18	1249[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ wy59))",fontsize=16,color="black",shape="box"];1249 -> 1289[label="",style="solid", color="black", weight=3];
14.14/5.18	798[label="wy530",fontsize=16,color="green",shape="box"];799[label="wy520",fontsize=16,color="green",shape="box"];800[label="primPlusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ wy50) (Succ wy51)) (Succ (Succ wy51))))",fontsize=16,color="black",shape="box"];800 -> 803[label="",style="solid", color="black", weight=3];
14.14/5.18	801 -> 66[label="",style="dashed", color="red", weight=0];
14.14/5.18	801[label="primPlusNat (Succ Zero) Zero",fontsize=16,color="magenta"];1284[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ wy610) wy62) (Succ wy63))",fontsize=16,color="burlywood",shape="box"];2440[label="wy62/Succ wy620",fontsize=10,color="white",style="solid",shape="box"];1284 -> 2440[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2440 -> 1290[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2441[label="wy62/Zero",fontsize=10,color="white",style="solid",shape="box"];1284 -> 2441[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2441 -> 1291[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1285[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero wy62) (Succ wy63))",fontsize=16,color="burlywood",shape="box"];2442[label="wy62/Succ wy620",fontsize=10,color="white",style="solid",shape="box"];1285 -> 2442[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2442 -> 1292[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2443[label="wy62/Zero",fontsize=10,color="white",style="solid",shape="box"];1285 -> 2443[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2443 -> 1293[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	802 -> 1195[label="",style="dashed", color="red", weight=0];
14.14/5.18	802[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ wy45) (Succ wy46)) (Succ (Succ wy46)))",fontsize=16,color="magenta"];802 -> 1202[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	802 -> 1203[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	802 -> 1204[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1286 -> 1195[label="",style="dashed", color="red", weight=0];
14.14/5.18	1286[label="primMinusNat Zero (primDivNatS (primMinusNatS wy570 wy580) (Succ wy59))",fontsize=16,color="magenta"];1286 -> 1294[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1286 -> 1295[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1287[label="primMinusNat Zero (primDivNatS (Succ wy570) (Succ wy59))",fontsize=16,color="black",shape="box"];1287 -> 1296[label="",style="solid", color="black", weight=3];
14.14/5.18	1288[label="primMinusNat Zero (primDivNatS Zero (Succ wy59))",fontsize=16,color="black",shape="triangle"];1288 -> 1297[label="",style="solid", color="black", weight=3];
14.14/5.18	1289 -> 1288[label="",style="dashed", color="red", weight=0];
14.14/5.18	1289[label="primMinusNat Zero (primDivNatS Zero (Succ wy59))",fontsize=16,color="magenta"];803[label="Succ (Succ (primPlusNat Zero (primDivNatS (primMinusNatS (Succ wy50) (Succ wy51)) (Succ (Succ wy51)))))",fontsize=16,color="green",shape="box"];803 -> 805[label="",style="dashed", color="green", weight=3];
14.14/5.18	1290[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ wy610) (Succ wy620)) (Succ wy63))",fontsize=16,color="black",shape="box"];1290 -> 1298[label="",style="solid", color="black", weight=3];
14.14/5.18	1291[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ wy610) Zero) (Succ wy63))",fontsize=16,color="black",shape="box"];1291 -> 1299[label="",style="solid", color="black", weight=3];
14.14/5.18	1292[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero (Succ wy620)) (Succ wy63))",fontsize=16,color="black",shape="box"];1292 -> 1300[label="",style="solid", color="black", weight=3];
14.14/5.18	1293[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ wy63))",fontsize=16,color="black",shape="box"];1293 -> 1301[label="",style="solid", color="black", weight=3];
14.14/5.18	1202[label="Succ wy45",fontsize=16,color="green",shape="box"];1203[label="Succ wy46",fontsize=16,color="green",shape="box"];1204[label="Succ wy46",fontsize=16,color="green",shape="box"];1294[label="wy570",fontsize=16,color="green",shape="box"];1295[label="wy580",fontsize=16,color="green",shape="box"];1296[label="primMinusNat Zero (primDivNatS0 wy570 wy59 (primGEqNatS wy570 wy59))",fontsize=16,color="burlywood",shape="box"];2444[label="wy570/Succ wy5700",fontsize=10,color="white",style="solid",shape="box"];1296 -> 2444[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2444 -> 1302[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2445[label="wy570/Zero",fontsize=10,color="white",style="solid",shape="box"];1296 -> 2445[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2445 -> 1303[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1297[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="triangle"];1297 -> 1304[label="",style="solid", color="black", weight=3];
14.14/5.18	805 -> 1250[label="",style="dashed", color="red", weight=0];
14.14/5.18	805[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ wy50) (Succ wy51)) (Succ (Succ wy51)))",fontsize=16,color="magenta"];805 -> 1257[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	805 -> 1258[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	805 -> 1259[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1298 -> 1250[label="",style="dashed", color="red", weight=0];
14.14/5.18	1298[label="primPlusNat Zero (primDivNatS (primMinusNatS wy610 wy620) (Succ wy63))",fontsize=16,color="magenta"];1298 -> 1305[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1298 -> 1306[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1299[label="primPlusNat Zero (primDivNatS (Succ wy610) (Succ wy63))",fontsize=16,color="black",shape="box"];1299 -> 1307[label="",style="solid", color="black", weight=3];
14.14/5.18	1300[label="primPlusNat Zero (primDivNatS Zero (Succ wy63))",fontsize=16,color="black",shape="triangle"];1300 -> 1308[label="",style="solid", color="black", weight=3];
14.14/5.18	1301 -> 1300[label="",style="dashed", color="red", weight=0];
14.14/5.18	1301[label="primPlusNat Zero (primDivNatS Zero (Succ wy63))",fontsize=16,color="magenta"];1302[label="primMinusNat Zero (primDivNatS0 (Succ wy5700) wy59 (primGEqNatS (Succ wy5700) wy59))",fontsize=16,color="burlywood",shape="box"];2446[label="wy59/Succ wy590",fontsize=10,color="white",style="solid",shape="box"];1302 -> 2446[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2446 -> 1309[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2447[label="wy59/Zero",fontsize=10,color="white",style="solid",shape="box"];1302 -> 2447[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2447 -> 1310[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1303[label="primMinusNat Zero (primDivNatS0 Zero wy59 (primGEqNatS Zero wy59))",fontsize=16,color="burlywood",shape="box"];2448[label="wy59/Succ wy590",fontsize=10,color="white",style="solid",shape="box"];1303 -> 2448[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2448 -> 1311[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2449[label="wy59/Zero",fontsize=10,color="white",style="solid",shape="box"];1303 -> 2449[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2449 -> 1312[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1304[label="Pos Zero",fontsize=16,color="green",shape="box"];1257[label="Succ wy50",fontsize=16,color="green",shape="box"];1258[label="Succ wy51",fontsize=16,color="green",shape="box"];1259[label="Succ wy51",fontsize=16,color="green",shape="box"];1305[label="wy610",fontsize=16,color="green",shape="box"];1306[label="wy620",fontsize=16,color="green",shape="box"];1307[label="primPlusNat Zero (primDivNatS0 wy610 wy63 (primGEqNatS wy610 wy63))",fontsize=16,color="burlywood",shape="box"];2450[label="wy610/Succ wy6100",fontsize=10,color="white",style="solid",shape="box"];1307 -> 2450[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2450 -> 1313[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2451[label="wy610/Zero",fontsize=10,color="white",style="solid",shape="box"];1307 -> 2451[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2451 -> 1314[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1308[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="triangle"];1308 -> 1315[label="",style="solid", color="black", weight=3];
14.14/5.18	1309[label="primMinusNat Zero (primDivNatS0 (Succ wy5700) (Succ wy590) (primGEqNatS (Succ wy5700) (Succ wy590)))",fontsize=16,color="black",shape="box"];1309 -> 1316[label="",style="solid", color="black", weight=3];
14.14/5.18	1310[label="primMinusNat Zero (primDivNatS0 (Succ wy5700) Zero (primGEqNatS (Succ wy5700) Zero))",fontsize=16,color="black",shape="box"];1310 -> 1317[label="",style="solid", color="black", weight=3];
14.14/5.18	1311[label="primMinusNat Zero (primDivNatS0 Zero (Succ wy590) (primGEqNatS Zero (Succ wy590)))",fontsize=16,color="black",shape="box"];1311 -> 1318[label="",style="solid", color="black", weight=3];
14.14/5.18	1312[label="primMinusNat Zero (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];1312 -> 1319[label="",style="solid", color="black", weight=3];
14.14/5.18	1313[label="primPlusNat Zero (primDivNatS0 (Succ wy6100) wy63 (primGEqNatS (Succ wy6100) wy63))",fontsize=16,color="burlywood",shape="box"];2452[label="wy63/Succ wy630",fontsize=10,color="white",style="solid",shape="box"];1313 -> 2452[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2452 -> 1320[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2453[label="wy63/Zero",fontsize=10,color="white",style="solid",shape="box"];1313 -> 2453[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2453 -> 1321[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1314[label="primPlusNat Zero (primDivNatS0 Zero wy63 (primGEqNatS Zero wy63))",fontsize=16,color="burlywood",shape="box"];2454[label="wy63/Succ wy630",fontsize=10,color="white",style="solid",shape="box"];1314 -> 2454[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2454 -> 1322[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2455[label="wy63/Zero",fontsize=10,color="white",style="solid",shape="box"];1314 -> 2455[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2455 -> 1323[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1315[label="Zero",fontsize=16,color="green",shape="box"];1316 -> 1879[label="",style="dashed", color="red", weight=0];
14.14/5.18	1316[label="primMinusNat Zero (primDivNatS0 (Succ wy5700) (Succ wy590) (primGEqNatS wy5700 wy590))",fontsize=16,color="magenta"];1316 -> 1880[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1316 -> 1881[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1316 -> 1882[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1316 -> 1883[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1317[label="primMinusNat Zero (primDivNatS0 (Succ wy5700) Zero MyTrue)",fontsize=16,color="black",shape="box"];1317 -> 1326[label="",style="solid", color="black", weight=3];
14.14/5.18	1318[label="primMinusNat Zero (primDivNatS0 Zero (Succ wy590) MyFalse)",fontsize=16,color="black",shape="box"];1318 -> 1327[label="",style="solid", color="black", weight=3];
14.14/5.18	1319[label="primMinusNat Zero (primDivNatS0 Zero Zero MyTrue)",fontsize=16,color="black",shape="box"];1319 -> 1328[label="",style="solid", color="black", weight=3];
14.14/5.18	1320[label="primPlusNat Zero (primDivNatS0 (Succ wy6100) (Succ wy630) (primGEqNatS (Succ wy6100) (Succ wy630)))",fontsize=16,color="black",shape="box"];1320 -> 1329[label="",style="solid", color="black", weight=3];
14.14/5.18	1321[label="primPlusNat Zero (primDivNatS0 (Succ wy6100) Zero (primGEqNatS (Succ wy6100) Zero))",fontsize=16,color="black",shape="box"];1321 -> 1330[label="",style="solid", color="black", weight=3];
14.14/5.18	1322[label="primPlusNat Zero (primDivNatS0 Zero (Succ wy630) (primGEqNatS Zero (Succ wy630)))",fontsize=16,color="black",shape="box"];1322 -> 1331[label="",style="solid", color="black", weight=3];
14.14/5.18	1323[label="primPlusNat Zero (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];1323 -> 1332[label="",style="solid", color="black", weight=3];
14.14/5.18	1880[label="wy590",fontsize=16,color="green",shape="box"];1881[label="wy5700",fontsize=16,color="green",shape="box"];1882[label="wy5700",fontsize=16,color="green",shape="box"];1883[label="wy590",fontsize=16,color="green",shape="box"];1879[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS wy96 wy97))",fontsize=16,color="burlywood",shape="triangle"];2456[label="wy96/Succ wy960",fontsize=10,color="white",style="solid",shape="box"];1879 -> 2456[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2456 -> 1920[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2457[label="wy96/Zero",fontsize=10,color="white",style="solid",shape="box"];1879 -> 2457[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2457 -> 1921[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1326 -> 1685[label="",style="dashed", color="red", weight=0];
14.14/5.18	1326[label="primMinusNat Zero (Succ (primDivNatS (primMinusNatS (Succ wy5700) Zero) (Succ Zero)))",fontsize=16,color="magenta"];1326 -> 1686[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1327 -> 1297[label="",style="dashed", color="red", weight=0];
14.14/5.18	1327[label="primMinusNat Zero Zero",fontsize=16,color="magenta"];1328 -> 1685[label="",style="dashed", color="red", weight=0];
14.14/5.18	1328[label="primMinusNat Zero (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="magenta"];1328 -> 1687[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1329 -> 1984[label="",style="dashed", color="red", weight=0];
14.14/5.18	1329[label="primPlusNat Zero (primDivNatS0 (Succ wy6100) (Succ wy630) (primGEqNatS wy6100 wy630))",fontsize=16,color="magenta"];1329 -> 1985[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1329 -> 1986[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1329 -> 1987[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1329 -> 1988[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1330[label="primPlusNat Zero (primDivNatS0 (Succ wy6100) Zero MyTrue)",fontsize=16,color="black",shape="box"];1330 -> 1341[label="",style="solid", color="black", weight=3];
14.14/5.18	1331[label="primPlusNat Zero (primDivNatS0 Zero (Succ wy630) MyFalse)",fontsize=16,color="black",shape="box"];1331 -> 1342[label="",style="solid", color="black", weight=3];
14.14/5.18	1332[label="primPlusNat Zero (primDivNatS0 Zero Zero MyTrue)",fontsize=16,color="black",shape="box"];1332 -> 1343[label="",style="solid", color="black", weight=3];
14.14/5.18	1920[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS (Succ wy960) wy97))",fontsize=16,color="burlywood",shape="box"];2458[label="wy97/Succ wy970",fontsize=10,color="white",style="solid",shape="box"];1920 -> 2458[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2458 -> 1934[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2459[label="wy97/Zero",fontsize=10,color="white",style="solid",shape="box"];1920 -> 2459[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2459 -> 1935[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1921[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS Zero wy97))",fontsize=16,color="burlywood",shape="box"];2460[label="wy97/Succ wy970",fontsize=10,color="white",style="solid",shape="box"];1921 -> 2460[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2460 -> 1936[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2461[label="wy97/Zero",fontsize=10,color="white",style="solid",shape="box"];1921 -> 2461[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2461 -> 1937[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1686 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	1686[label="primDivNatS (primMinusNatS (Succ wy5700) Zero) (Succ Zero)",fontsize=16,color="magenta"];1686 -> 2105[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1686 -> 2106[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1686 -> 2107[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1685[label="primMinusNat Zero (Succ wy79)",fontsize=16,color="black",shape="triangle"];1685 -> 1701[label="",style="solid", color="black", weight=3];
14.14/5.18	1687 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	1687[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];1687 -> 2108[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1687 -> 2109[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1687 -> 2110[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1985[label="wy6100",fontsize=16,color="green",shape="box"];1986[label="wy630",fontsize=16,color="green",shape="box"];1987[label="wy6100",fontsize=16,color="green",shape="box"];1988[label="wy630",fontsize=16,color="green",shape="box"];1984[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS wy109 wy110))",fontsize=16,color="burlywood",shape="triangle"];2462[label="wy109/Succ wy1090",fontsize=10,color="white",style="solid",shape="box"];1984 -> 2462[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2462 -> 2025[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2463[label="wy109/Zero",fontsize=10,color="white",style="solid",shape="box"];1984 -> 2463[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2463 -> 2026[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1341 -> 1749[label="",style="dashed", color="red", weight=0];
14.14/5.18	1341[label="primPlusNat Zero (Succ (primDivNatS (primMinusNatS (Succ wy6100) Zero) (Succ Zero)))",fontsize=16,color="magenta"];1341 -> 1750[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1342 -> 1308[label="",style="dashed", color="red", weight=0];
14.14/5.18	1342[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];1343 -> 1749[label="",style="dashed", color="red", weight=0];
14.14/5.18	1343[label="primPlusNat Zero (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="magenta"];1343 -> 1751[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1934[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS (Succ wy960) (Succ wy970)))",fontsize=16,color="black",shape="box"];1934 -> 1951[label="",style="solid", color="black", weight=3];
14.14/5.18	1935[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS (Succ wy960) Zero))",fontsize=16,color="black",shape="box"];1935 -> 1952[label="",style="solid", color="black", weight=3];
14.14/5.18	1936[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS Zero (Succ wy970)))",fontsize=16,color="black",shape="box"];1936 -> 1953[label="",style="solid", color="black", weight=3];
14.14/5.18	1937[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];1937 -> 1954[label="",style="solid", color="black", weight=3];
14.14/5.18	2105[label="Zero",fontsize=16,color="green",shape="box"];2106[label="Succ wy5700",fontsize=16,color="green",shape="box"];2107[label="Zero",fontsize=16,color="green",shape="box"];2104[label="primDivNatS (primMinusNatS wy115 wy116) (Succ wy117)",fontsize=16,color="burlywood",shape="triangle"];2464[label="wy115/Succ wy1150",fontsize=10,color="white",style="solid",shape="box"];2104 -> 2464[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2464 -> 2156[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2465[label="wy115/Zero",fontsize=10,color="white",style="solid",shape="box"];2104 -> 2465[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2465 -> 2157[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1701[label="Neg (Succ wy79)",fontsize=16,color="green",shape="box"];2108[label="Zero",fontsize=16,color="green",shape="box"];2109[label="Zero",fontsize=16,color="green",shape="box"];2110[label="Zero",fontsize=16,color="green",shape="box"];2025[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS (Succ wy1090) wy110))",fontsize=16,color="burlywood",shape="box"];2466[label="wy110/Succ wy1100",fontsize=10,color="white",style="solid",shape="box"];2025 -> 2466[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2466 -> 2041[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2467[label="wy110/Zero",fontsize=10,color="white",style="solid",shape="box"];2025 -> 2467[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2467 -> 2042[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2026[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS Zero wy110))",fontsize=16,color="burlywood",shape="box"];2468[label="wy110/Succ wy1100",fontsize=10,color="white",style="solid",shape="box"];2026 -> 2468[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2468 -> 2043[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2469[label="wy110/Zero",fontsize=10,color="white",style="solid",shape="box"];2026 -> 2469[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2469 -> 2044[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	1750 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	1750[label="primDivNatS (primMinusNatS (Succ wy6100) Zero) (Succ Zero)",fontsize=16,color="magenta"];1750 -> 2117[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1750 -> 2118[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1750 -> 2119[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1749[label="primPlusNat Zero (Succ wy82)",fontsize=16,color="black",shape="triangle"];1749 -> 1765[label="",style="solid", color="black", weight=3];
14.14/5.18	1751 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	1751[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];1751 -> 2120[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1751 -> 2121[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1751 -> 2122[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1951 -> 1879[label="",style="dashed", color="red", weight=0];
14.14/5.18	1951[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) (primGEqNatS wy960 wy970))",fontsize=16,color="magenta"];1951 -> 1969[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1951 -> 1970[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1952[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) MyTrue)",fontsize=16,color="black",shape="triangle"];1952 -> 1971[label="",style="solid", color="black", weight=3];
14.14/5.18	1953[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) MyFalse)",fontsize=16,color="black",shape="box"];1953 -> 1972[label="",style="solid", color="black", weight=3];
14.14/5.18	1954 -> 1952[label="",style="dashed", color="red", weight=0];
14.14/5.18	1954[label="primMinusNat Zero (primDivNatS0 (Succ wy94) (Succ wy95) MyTrue)",fontsize=16,color="magenta"];2156[label="primDivNatS (primMinusNatS (Succ wy1150) wy116) (Succ wy117)",fontsize=16,color="burlywood",shape="box"];2470[label="wy116/Succ wy1160",fontsize=10,color="white",style="solid",shape="box"];2156 -> 2470[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2470 -> 2158[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2471[label="wy116/Zero",fontsize=10,color="white",style="solid",shape="box"];2156 -> 2471[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2471 -> 2159[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2157[label="primDivNatS (primMinusNatS Zero wy116) (Succ wy117)",fontsize=16,color="burlywood",shape="box"];2472[label="wy116/Succ wy1160",fontsize=10,color="white",style="solid",shape="box"];2157 -> 2472[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2472 -> 2160[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2473[label="wy116/Zero",fontsize=10,color="white",style="solid",shape="box"];2157 -> 2473[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2473 -> 2161[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2041[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS (Succ wy1090) (Succ wy1100)))",fontsize=16,color="black",shape="box"];2041 -> 2054[label="",style="solid", color="black", weight=3];
14.14/5.18	2042[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS (Succ wy1090) Zero))",fontsize=16,color="black",shape="box"];2042 -> 2055[label="",style="solid", color="black", weight=3];
14.14/5.18	2043[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS Zero (Succ wy1100)))",fontsize=16,color="black",shape="box"];2043 -> 2056[label="",style="solid", color="black", weight=3];
14.14/5.18	2044[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];2044 -> 2057[label="",style="solid", color="black", weight=3];
14.14/5.18	2117[label="Zero",fontsize=16,color="green",shape="box"];2118[label="Succ wy6100",fontsize=16,color="green",shape="box"];2119[label="Zero",fontsize=16,color="green",shape="box"];1765[label="Succ wy82",fontsize=16,color="green",shape="box"];2120[label="Zero",fontsize=16,color="green",shape="box"];2121[label="Zero",fontsize=16,color="green",shape="box"];2122[label="Zero",fontsize=16,color="green",shape="box"];1969[label="wy970",fontsize=16,color="green",shape="box"];1970[label="wy960",fontsize=16,color="green",shape="box"];1971 -> 1685[label="",style="dashed", color="red", weight=0];
14.14/5.18	1971[label="primMinusNat Zero (Succ (primDivNatS (primMinusNatS (Succ wy94) (Succ wy95)) (Succ (Succ wy95))))",fontsize=16,color="magenta"];1971 -> 2027[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	1972 -> 1297[label="",style="dashed", color="red", weight=0];
14.14/5.18	1972[label="primMinusNat Zero Zero",fontsize=16,color="magenta"];2158[label="primDivNatS (primMinusNatS (Succ wy1150) (Succ wy1160)) (Succ wy117)",fontsize=16,color="black",shape="box"];2158 -> 2162[label="",style="solid", color="black", weight=3];
14.14/5.18	2159[label="primDivNatS (primMinusNatS (Succ wy1150) Zero) (Succ wy117)",fontsize=16,color="black",shape="box"];2159 -> 2163[label="",style="solid", color="black", weight=3];
14.14/5.18	2160[label="primDivNatS (primMinusNatS Zero (Succ wy1160)) (Succ wy117)",fontsize=16,color="black",shape="box"];2160 -> 2164[label="",style="solid", color="black", weight=3];
14.14/5.18	2161[label="primDivNatS (primMinusNatS Zero Zero) (Succ wy117)",fontsize=16,color="black",shape="box"];2161 -> 2165[label="",style="solid", color="black", weight=3];
14.14/5.18	2054 -> 1984[label="",style="dashed", color="red", weight=0];
14.14/5.18	2054[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) (primGEqNatS wy1090 wy1100))",fontsize=16,color="magenta"];2054 -> 2064[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2054 -> 2065[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2055[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) MyTrue)",fontsize=16,color="black",shape="triangle"];2055 -> 2066[label="",style="solid", color="black", weight=3];
14.14/5.18	2056[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) MyFalse)",fontsize=16,color="black",shape="box"];2056 -> 2067[label="",style="solid", color="black", weight=3];
14.14/5.18	2057 -> 2055[label="",style="dashed", color="red", weight=0];
14.14/5.18	2057[label="primPlusNat Zero (primDivNatS0 (Succ wy107) (Succ wy108) MyTrue)",fontsize=16,color="magenta"];2027 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	2027[label="primDivNatS (primMinusNatS (Succ wy94) (Succ wy95)) (Succ (Succ wy95))",fontsize=16,color="magenta"];2027 -> 2126[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2027 -> 2127[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2027 -> 2128[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2162 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	2162[label="primDivNatS (primMinusNatS wy1150 wy1160) (Succ wy117)",fontsize=16,color="magenta"];2162 -> 2166[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2162 -> 2167[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2163[label="primDivNatS (Succ wy1150) (Succ wy117)",fontsize=16,color="black",shape="box"];2163 -> 2168[label="",style="solid", color="black", weight=3];
14.14/5.18	2164[label="primDivNatS Zero (Succ wy117)",fontsize=16,color="black",shape="triangle"];2164 -> 2169[label="",style="solid", color="black", weight=3];
14.14/5.18	2165 -> 2164[label="",style="dashed", color="red", weight=0];
14.14/5.18	2165[label="primDivNatS Zero (Succ wy117)",fontsize=16,color="magenta"];2064[label="wy1090",fontsize=16,color="green",shape="box"];2065[label="wy1100",fontsize=16,color="green",shape="box"];2066 -> 1749[label="",style="dashed", color="red", weight=0];
14.14/5.18	2066[label="primPlusNat Zero (Succ (primDivNatS (primMinusNatS (Succ wy107) (Succ wy108)) (Succ (Succ wy108))))",fontsize=16,color="magenta"];2066 -> 2078[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2067 -> 1308[label="",style="dashed", color="red", weight=0];
14.14/5.18	2067[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];2126[label="Succ wy95",fontsize=16,color="green",shape="box"];2127[label="Succ wy94",fontsize=16,color="green",shape="box"];2128[label="Succ wy95",fontsize=16,color="green",shape="box"];2166[label="wy1160",fontsize=16,color="green",shape="box"];2167[label="wy1150",fontsize=16,color="green",shape="box"];2168[label="primDivNatS0 wy1150 wy117 (primGEqNatS wy1150 wy117)",fontsize=16,color="burlywood",shape="box"];2474[label="wy1150/Succ wy11500",fontsize=10,color="white",style="solid",shape="box"];2168 -> 2474[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2474 -> 2170[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2475[label="wy1150/Zero",fontsize=10,color="white",style="solid",shape="box"];2168 -> 2475[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2475 -> 2171[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2169[label="Zero",fontsize=16,color="green",shape="box"];2078 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	2078[label="primDivNatS (primMinusNatS (Succ wy107) (Succ wy108)) (Succ (Succ wy108))",fontsize=16,color="magenta"];2078 -> 2129[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2078 -> 2130[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2078 -> 2131[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2170[label="primDivNatS0 (Succ wy11500) wy117 (primGEqNatS (Succ wy11500) wy117)",fontsize=16,color="burlywood",shape="box"];2476[label="wy117/Succ wy1170",fontsize=10,color="white",style="solid",shape="box"];2170 -> 2476[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2476 -> 2172[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2477[label="wy117/Zero",fontsize=10,color="white",style="solid",shape="box"];2170 -> 2477[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2477 -> 2173[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2171[label="primDivNatS0 Zero wy117 (primGEqNatS Zero wy117)",fontsize=16,color="burlywood",shape="box"];2478[label="wy117/Succ wy1170",fontsize=10,color="white",style="solid",shape="box"];2171 -> 2478[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2478 -> 2174[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2479[label="wy117/Zero",fontsize=10,color="white",style="solid",shape="box"];2171 -> 2479[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2479 -> 2175[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2129[label="Succ wy108",fontsize=16,color="green",shape="box"];2130[label="Succ wy107",fontsize=16,color="green",shape="box"];2131[label="Succ wy108",fontsize=16,color="green",shape="box"];2172[label="primDivNatS0 (Succ wy11500) (Succ wy1170) (primGEqNatS (Succ wy11500) (Succ wy1170))",fontsize=16,color="black",shape="box"];2172 -> 2176[label="",style="solid", color="black", weight=3];
14.14/5.18	2173[label="primDivNatS0 (Succ wy11500) Zero (primGEqNatS (Succ wy11500) Zero)",fontsize=16,color="black",shape="box"];2173 -> 2177[label="",style="solid", color="black", weight=3];
14.14/5.18	2174[label="primDivNatS0 Zero (Succ wy1170) (primGEqNatS Zero (Succ wy1170))",fontsize=16,color="black",shape="box"];2174 -> 2178[label="",style="solid", color="black", weight=3];
14.14/5.18	2175[label="primDivNatS0 Zero Zero (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];2175 -> 2179[label="",style="solid", color="black", weight=3];
14.14/5.18	2176 -> 2338[label="",style="dashed", color="red", weight=0];
14.14/5.18	2176[label="primDivNatS0 (Succ wy11500) (Succ wy1170) (primGEqNatS wy11500 wy1170)",fontsize=16,color="magenta"];2176 -> 2339[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2176 -> 2340[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2176 -> 2341[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2176 -> 2342[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2177[label="primDivNatS0 (Succ wy11500) Zero MyTrue",fontsize=16,color="black",shape="box"];2177 -> 2182[label="",style="solid", color="black", weight=3];
14.14/5.18	2178[label="primDivNatS0 Zero (Succ wy1170) MyFalse",fontsize=16,color="black",shape="box"];2178 -> 2183[label="",style="solid", color="black", weight=3];
14.14/5.18	2179[label="primDivNatS0 Zero Zero MyTrue",fontsize=16,color="black",shape="box"];2179 -> 2184[label="",style="solid", color="black", weight=3];
14.14/5.18	2339[label="wy1170",fontsize=16,color="green",shape="box"];2340[label="wy11500",fontsize=16,color="green",shape="box"];2341[label="wy11500",fontsize=16,color="green",shape="box"];2342[label="wy1170",fontsize=16,color="green",shape="box"];2338[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS wy136 wy137)",fontsize=16,color="burlywood",shape="triangle"];2480[label="wy136/Succ wy1360",fontsize=10,color="white",style="solid",shape="box"];2338 -> 2480[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2480 -> 2371[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2481[label="wy136/Zero",fontsize=10,color="white",style="solid",shape="box"];2338 -> 2481[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2481 -> 2372[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2182[label="Succ (primDivNatS (primMinusNatS (Succ wy11500) Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];2182 -> 2189[label="",style="dashed", color="green", weight=3];
14.14/5.18	2183[label="Zero",fontsize=16,color="green",shape="box"];2184[label="Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];2184 -> 2190[label="",style="dashed", color="green", weight=3];
14.14/5.18	2371[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS (Succ wy1360) wy137)",fontsize=16,color="burlywood",shape="box"];2482[label="wy137/Succ wy1370",fontsize=10,color="white",style="solid",shape="box"];2371 -> 2482[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2482 -> 2373[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2483[label="wy137/Zero",fontsize=10,color="white",style="solid",shape="box"];2371 -> 2483[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2483 -> 2374[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2372[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS Zero wy137)",fontsize=16,color="burlywood",shape="box"];2484[label="wy137/Succ wy1370",fontsize=10,color="white",style="solid",shape="box"];2372 -> 2484[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2484 -> 2375[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2485[label="wy137/Zero",fontsize=10,color="white",style="solid",shape="box"];2372 -> 2485[label="",style="solid", color="burlywood", weight=9];
14.14/5.18	2485 -> 2376[label="",style="solid", color="burlywood", weight=3];
14.14/5.18	2189 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	2189[label="primDivNatS (primMinusNatS (Succ wy11500) Zero) (Succ Zero)",fontsize=16,color="magenta"];2189 -> 2195[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2189 -> 2196[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2189 -> 2197[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2190 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	2190[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];2190 -> 2198[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2190 -> 2199[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2190 -> 2200[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2373[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS (Succ wy1360) (Succ wy1370))",fontsize=16,color="black",shape="box"];2373 -> 2377[label="",style="solid", color="black", weight=3];
14.14/5.18	2374[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS (Succ wy1360) Zero)",fontsize=16,color="black",shape="box"];2374 -> 2378[label="",style="solid", color="black", weight=3];
14.14/5.18	2375[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS Zero (Succ wy1370))",fontsize=16,color="black",shape="box"];2375 -> 2379[label="",style="solid", color="black", weight=3];
14.14/5.18	2376[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];2376 -> 2380[label="",style="solid", color="black", weight=3];
14.14/5.18	2195[label="Zero",fontsize=16,color="green",shape="box"];2196[label="Succ wy11500",fontsize=16,color="green",shape="box"];2197[label="Zero",fontsize=16,color="green",shape="box"];2198[label="Zero",fontsize=16,color="green",shape="box"];2199[label="Zero",fontsize=16,color="green",shape="box"];2200[label="Zero",fontsize=16,color="green",shape="box"];2377 -> 2338[label="",style="dashed", color="red", weight=0];
14.14/5.18	2377[label="primDivNatS0 (Succ wy134) (Succ wy135) (primGEqNatS wy1360 wy1370)",fontsize=16,color="magenta"];2377 -> 2381[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2377 -> 2382[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2378[label="primDivNatS0 (Succ wy134) (Succ wy135) MyTrue",fontsize=16,color="black",shape="triangle"];2378 -> 2383[label="",style="solid", color="black", weight=3];
14.14/5.18	2379[label="primDivNatS0 (Succ wy134) (Succ wy135) MyFalse",fontsize=16,color="black",shape="box"];2379 -> 2384[label="",style="solid", color="black", weight=3];
14.14/5.18	2380 -> 2378[label="",style="dashed", color="red", weight=0];
14.14/5.18	2380[label="primDivNatS0 (Succ wy134) (Succ wy135) MyTrue",fontsize=16,color="magenta"];2381[label="wy1370",fontsize=16,color="green",shape="box"];2382[label="wy1360",fontsize=16,color="green",shape="box"];2383[label="Succ (primDivNatS (primMinusNatS (Succ wy134) (Succ wy135)) (Succ (Succ wy135)))",fontsize=16,color="green",shape="box"];2383 -> 2385[label="",style="dashed", color="green", weight=3];
14.14/5.18	2384[label="Zero",fontsize=16,color="green",shape="box"];2385 -> 2104[label="",style="dashed", color="red", weight=0];
14.14/5.18	2385[label="primDivNatS (primMinusNatS (Succ wy134) (Succ wy135)) (Succ (Succ wy135))",fontsize=16,color="magenta"];2385 -> 2386[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2385 -> 2387[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2385 -> 2388[label="",style="dashed", color="magenta", weight=3];
14.14/5.18	2386[label="Succ wy135",fontsize=16,color="green",shape="box"];2387[label="Succ wy134",fontsize=16,color="green",shape="box"];2388[label="Succ wy135",fontsize=16,color="green",shape="box"];}
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(6)
14.14/5.18	Complex Obligation (AND)
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(7)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primPlusNat(wy107, wy108, Main.Succ(wy1090), Main.Succ(wy1100)) -> new_primPlusNat(wy107, wy108, wy1090, wy1100)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(8) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primPlusNat(wy107, wy108, Main.Succ(wy1090), Main.Succ(wy1100)) -> new_primPlusNat(wy107, wy108, wy1090, wy1100)
14.14/5.18	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(9)
14.14/5.18	YES
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(10)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primMinusNat1(wy45, wy46, Main.Succ(wy470), Main.Succ(wy480)) -> new_primMinusNat1(wy45, wy46, wy470, wy480)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(11) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primMinusNat1(wy45, wy46, Main.Succ(wy470), Main.Succ(wy480)) -> new_primMinusNat1(wy45, wy46, wy470, wy480)
14.14/5.18	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(12)
14.14/5.18	YES
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(13)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primPlusNat1(wy50, wy51, Main.Succ(wy520), Main.Succ(wy530)) -> new_primPlusNat1(wy50, wy51, wy520, wy530)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(14) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primPlusNat1(wy50, wy51, Main.Succ(wy520), Main.Succ(wy530)) -> new_primPlusNat1(wy50, wy51, wy520, wy530)
14.14/5.18	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(15)
14.14/5.18	YES
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(16)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primMinusNat(wy94, wy95, Main.Succ(wy960), Main.Succ(wy970)) -> new_primMinusNat(wy94, wy95, wy960, wy970)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(17) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primMinusNat(wy94, wy95, Main.Succ(wy960), Main.Succ(wy970)) -> new_primMinusNat(wy94, wy95, wy960, wy970)
14.14/5.18	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(18)
14.14/5.18	YES
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(19)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primMinusNat0(Main.Succ(wy570), Main.Succ(wy580), wy59) -> new_primMinusNat0(wy570, wy580, wy59)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(20) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primMinusNat0(Main.Succ(wy570), Main.Succ(wy580), wy59) -> new_primMinusNat0(wy570, wy580, wy59)
14.14/5.18	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(21)
14.14/5.18	YES
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(22)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primPlusNat0(Main.Succ(wy610), Main.Succ(wy620), wy63) -> new_primPlusNat0(wy610, wy620, wy63)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(23) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primPlusNat0(Main.Succ(wy610), Main.Succ(wy620), wy63) -> new_primPlusNat0(wy610, wy620, wy63)
14.14/5.18	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(24)
14.14/5.18	YES
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(25)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primDivNatS(Main.Succ(wy1150), Main.Succ(wy1160), wy117) -> new_primDivNatS(wy1150, wy1160, wy117)
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Succ(wy1370)) -> new_primDivNatS0(wy134, wy135, wy1360, wy1370)
14.14/5.18	   new_primDivNatS00(wy134, wy135) -> new_primDivNatS(Main.Succ(wy134), Main.Succ(wy135), Main.Succ(wy135))
14.14/5.18	   new_primDivNatS(Main.Succ(Main.Succ(wy11500)), Main.Zero, Main.Zero) -> new_primDivNatS(Main.Succ(wy11500), Main.Zero, Main.Zero)
14.14/5.18	   new_primDivNatS(Main.Succ(Main.Zero), Main.Zero, Main.Zero) -> new_primDivNatS(Main.Zero, Main.Zero, Main.Zero)
14.14/5.18	   new_primDivNatS(Main.Succ(Main.Succ(wy11500)), Main.Zero, Main.Succ(wy1170)) -> new_primDivNatS0(wy11500, wy1170, wy11500, wy1170)
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Zero) -> new_primDivNatS(Main.Succ(wy134), Main.Succ(wy135), Main.Succ(wy135))
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Zero, Main.Zero) -> new_primDivNatS00(wy134, wy135)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(26) DependencyGraphProof (EQUIVALENT)
14.14/5.18	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 1 less node.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(27)
14.14/5.18	Complex Obligation (AND)
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(28)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primDivNatS(Main.Succ(Main.Succ(wy11500)), Main.Zero, Main.Zero) -> new_primDivNatS(Main.Succ(wy11500), Main.Zero, Main.Zero)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(29) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primDivNatS(Main.Succ(Main.Succ(wy11500)), Main.Zero, Main.Zero) -> new_primDivNatS(Main.Succ(wy11500), Main.Zero, Main.Zero)
14.14/5.18	The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 2, 2 >= 3, 3 >= 3
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(30)
14.14/5.18	YES
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(31)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primDivNatS(Main.Succ(Main.Succ(wy11500)), Main.Zero, Main.Succ(wy1170)) -> new_primDivNatS0(wy11500, wy1170, wy11500, wy1170)
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Succ(wy1370)) -> new_primDivNatS0(wy134, wy135, wy1360, wy1370)
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Zero) -> new_primDivNatS(Main.Succ(wy134), Main.Succ(wy135), Main.Succ(wy135))
14.14/5.18	   new_primDivNatS(Main.Succ(wy1150), Main.Succ(wy1160), wy117) -> new_primDivNatS(wy1150, wy1160, wy117)
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Zero, Main.Zero) -> new_primDivNatS00(wy134, wy135)
14.14/5.18	   new_primDivNatS00(wy134, wy135) -> new_primDivNatS(Main.Succ(wy134), Main.Succ(wy135), Main.Succ(wy135))
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(32) QDPOrderProof (EQUIVALENT)
14.14/5.18	We use the reduction pair processor [LPAR04,JAR06].
14.14/5.18	
14.14/5.18	
14.14/5.18	The following pairs can be oriented strictly and are deleted.
14.14/5.18	
14.14/5.18	   new_primDivNatS(Main.Succ(Main.Succ(wy11500)), Main.Zero, Main.Succ(wy1170)) -> new_primDivNatS0(wy11500, wy1170, wy11500, wy1170)
14.14/5.18	   new_primDivNatS(Main.Succ(wy1150), Main.Succ(wy1160), wy117) -> new_primDivNatS(wy1150, wy1160, wy117)
14.14/5.18	The remaining pairs can at least be oriented weakly.
14.14/5.18	Used ordering:  Polynomial interpretation [POLO]:
14.14/5.18	
14.14/5.18	   POL(Main.Succ(x_1)) = 1 + x_1
14.14/5.18	   POL(Main.Zero) = 1
14.14/5.18	   POL(new_primDivNatS(x_1, x_2, x_3)) = x_1
14.14/5.18	   POL(new_primDivNatS0(x_1, x_2, x_3, x_4)) = 1 + x_1
14.14/5.18	   POL(new_primDivNatS00(x_1, x_2)) = 1 + x_1
14.14/5.18	
14.14/5.18	The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented:
14.14/5.18	none
14.14/5.18	
14.14/5.18	
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(33)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Succ(wy1370)) -> new_primDivNatS0(wy134, wy135, wy1360, wy1370)
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Zero) -> new_primDivNatS(Main.Succ(wy134), Main.Succ(wy135), Main.Succ(wy135))
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Zero, Main.Zero) -> new_primDivNatS00(wy134, wy135)
14.14/5.18	   new_primDivNatS00(wy134, wy135) -> new_primDivNatS(Main.Succ(wy134), Main.Succ(wy135), Main.Succ(wy135))
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
14.14/5.18	----------------------------------------
14.14/5.18	
14.14/5.18	(34) DependencyGraphProof (EQUIVALENT)
14.14/5.18	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes.
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14.14/5.18	
14.14/5.18	(35)
14.14/5.18	Obligation:
14.14/5.18	Q DP problem:
14.14/5.18	The TRS P consists of the following rules:
14.14/5.18	
14.14/5.18	   new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Succ(wy1370)) -> new_primDivNatS0(wy134, wy135, wy1360, wy1370)
14.14/5.18	
14.14/5.18	R is empty.
14.14/5.18	Q is empty.
14.14/5.18	We have to consider all minimal (P,Q,R)-chains.
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14.14/5.18	
14.14/5.18	(36) QDPSizeChangeProof (EQUIVALENT)
14.14/5.18	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. 
14.14/5.18	
14.14/5.18	From the DPs we obtained the following set of size-change graphs:
14.14/5.18	*new_primDivNatS0(wy134, wy135, Main.Succ(wy1360), Main.Succ(wy1370)) -> new_primDivNatS0(wy134, wy135, wy1360, wy1370)
14.14/5.18	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
14.14/5.18	
14.14/5.18	
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14.14/5.18	
14.14/5.18	(37)
14.14/5.18	YES
14.26/5.25	EOF