10.12/4.20	YES
12.48/4.87	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
12.48/4.87	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
12.48/4.87	
12.48/4.87	
12.48/4.87	H-Termination with start terms of the given HASKELL could be proven:
12.48/4.87	
12.48/4.87	(0) HASKELL
12.48/4.87	(1) LR [EQUIVALENT, 0 ms]
12.48/4.87	(2) HASKELL
12.48/4.87	(3) IFR [EQUIVALENT, 0 ms]
12.48/4.87	(4) HASKELL
12.48/4.87	(5) BR [EQUIVALENT, 0 ms]
12.48/4.87	(6) HASKELL
12.48/4.87	(7) COR [EQUIVALENT, 0 ms]
12.48/4.87	(8) HASKELL
12.48/4.87	(9) LetRed [EQUIVALENT, 0 ms]
12.48/4.87	(10) HASKELL
12.48/4.87	(11) NumRed [SOUND, 0 ms]
12.48/4.87	(12) HASKELL
12.48/4.87	(13) Narrow [SOUND, 0 ms]
12.48/4.87	(14) AND
12.48/4.87	    (15) QDP
12.48/4.87	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.48/4.87	        (17) YES
12.48/4.87	    (18) QDP
12.48/4.87	        (19) DependencyGraphProof [EQUIVALENT, 0 ms]
12.48/4.87	        (20) AND
12.48/4.87	            (21) QDP
12.48/4.87	                (22) MRRProof [EQUIVALENT, 16 ms]
12.48/4.87	                (23) QDP
12.48/4.87	                (24) PisEmptyProof [EQUIVALENT, 0 ms]
12.48/4.87	                (25) YES
12.48/4.87	            (26) QDP
12.48/4.87	                (27) QDPOrderProof [EQUIVALENT, 0 ms]
12.48/4.87	                (28) QDP
12.48/4.87	                (29) DependencyGraphProof [EQUIVALENT, 0 ms]
12.48/4.87	                (30) QDP
12.48/4.87	                (31) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.48/4.87	                (32) YES
12.48/4.87	    (33) QDP
12.48/4.87	        (34) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.48/4.87	        (35) YES
12.48/4.87	
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(0)
12.48/4.87	Obligation:
12.48/4.87	mainModule Main 
12.48/4.87	module Main where {
12.48/4.87	import qualified Prelude;
12.48/4.87	}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(1) LR (EQUIVALENT)
12.48/4.87	Lambda Reductions:
12.48/4.87	The following Lambda expression
12.48/4.87	"\(m,_)->m"
12.48/4.87	is transformed to
12.48/4.87	"m0 (m,_) = m;
12.48/4.87	"
12.48/4.87	The following Lambda expression
12.48/4.87	"\(q,_)->q"
12.48/4.87	is transformed to
12.48/4.87	"q1 (q,_) = q;
12.48/4.87	"
12.48/4.87	The following Lambda expression
12.48/4.87	"\(_,r)->r"
12.48/4.87	is transformed to
12.48/4.87	"r0 (_,r) = r;
12.48/4.87	"
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(2)
12.48/4.87	Obligation:
12.48/4.87	mainModule Main 
12.48/4.87	module Main where {
12.48/4.87	import qualified Prelude;
12.48/4.87	}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(3) IFR (EQUIVALENT)
12.48/4.87	If Reductions:
12.48/4.87	The following If expression
12.48/4.87	"if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero"
12.48/4.87	is transformed to
12.48/4.87	"primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y));
12.48/4.87	primDivNatS0 x y False = Zero;
12.48/4.87	"
12.48/4.87	The following If expression
12.48/4.87	"if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x"
12.48/4.87	is transformed to
12.48/4.87	"primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y);
12.48/4.87	primModNatS0 x y False = Succ x;
12.48/4.87	"
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(4)
12.48/4.87	Obligation:
12.48/4.87	mainModule Main 
12.48/4.87	module Main where {
12.48/4.87	import qualified Prelude;
12.48/4.87	}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(5) BR (EQUIVALENT)
12.48/4.87	Replaced joker patterns by fresh variables and removed binding patterns.
12.48/4.87	
12.48/4.87	Binding Reductions:
12.48/4.87	The bind variable of the following binding Pattern
12.48/4.87	"frac@(Float vz wu)"
12.48/4.87	is replaced by the following term
12.48/4.87	"Float vz wu"
12.48/4.87	The bind variable of the following binding Pattern
12.48/4.87	"frac@(Double xu xv)"
12.48/4.87	is replaced by the following term
12.48/4.87	"Double xu xv"
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(6)
12.48/4.87	Obligation:
12.48/4.87	mainModule Main 
12.48/4.87	module Main where {
12.48/4.87	import qualified Prelude;
12.48/4.87	}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(7) COR (EQUIVALENT)
12.48/4.87	Cond Reductions:
12.48/4.87	The following Function with conditions
12.48/4.87	"toEnum 0 = False;
12.48/4.87	toEnum 1 = True;
12.48/4.87	"
12.48/4.87	is transformed to
12.48/4.87	"toEnum xz = toEnum3 xz;
12.48/4.87	toEnum xy = toEnum1 xy;
12.48/4.87	"
12.48/4.87	"toEnum0 True xy = True;
12.48/4.87	"
12.48/4.87	"toEnum1 xy = toEnum0 (xy == 1) xy;
12.48/4.87	"
12.48/4.87	"toEnum2 True xz = False;
12.48/4.87	toEnum2 yu yv = toEnum1 yv;
12.48/4.87	"
12.48/4.87	"toEnum3 xz = toEnum2 (xz == 0) xz;
12.48/4.87	toEnum3 yw = toEnum1 yw;
12.48/4.87	"
12.48/4.87	The following Function with conditions
12.48/4.87	"toEnum 0 = LT;
12.48/4.87	toEnum 1 = EQ;
12.48/4.87	toEnum 2 = GT;
12.48/4.87	"
12.48/4.87	is transformed to
12.48/4.87	"toEnum zw = toEnum9 zw;
12.48/4.87	toEnum yy = toEnum7 yy;
12.48/4.87	toEnum yx = toEnum5 yx;
12.48/4.87	"
12.48/4.87	"toEnum4 True yx = GT;
12.48/4.87	"
12.48/4.87	"toEnum5 yx = toEnum4 (yx == 2) yx;
12.48/4.87	"
12.48/4.87	"toEnum6 True yy = EQ;
12.48/4.87	toEnum6 yz zu = toEnum5 zu;
12.48/4.87	"
12.48/4.87	"toEnum7 yy = toEnum6 (yy == 1) yy;
12.48/4.87	toEnum7 zv = toEnum5 zv;
12.48/4.87	"
12.48/4.87	"toEnum8 True zw = LT;
12.48/4.87	toEnum8 zx zy = toEnum7 zy;
12.48/4.87	"
12.48/4.87	"toEnum9 zw = toEnum8 (zw == 0) zw;
12.48/4.87	toEnum9 zz = toEnum7 zz;
12.48/4.87	"
12.48/4.87	The following Function with conditions
12.48/4.87	"toEnum 0 = ();
12.48/4.87	"
12.48/4.87	is transformed to
12.48/4.87	"toEnum vuu = toEnum11 vuu;
12.48/4.87	"
12.48/4.87	"toEnum10 True vuu = ();
12.48/4.87	"
12.48/4.87	"toEnum11 vuu = toEnum10 (vuu == 0) vuu;
12.48/4.87	"
12.48/4.87	The following Function with conditions
12.48/4.87	"undefined |Falseundefined;
12.48/4.87	"
12.48/4.87	is transformed to
12.48/4.87	"undefined  = undefined1;
12.48/4.87	"
12.48/4.87	"undefined0 True = undefined;
12.48/4.87	"
12.48/4.87	"undefined1  = undefined0 False;
12.48/4.87	"
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(8)
12.48/4.87	Obligation:
12.48/4.87	mainModule Main 
12.48/4.87	module Main where {
12.48/4.87	import qualified Prelude;
12.48/4.87	}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(9) LetRed (EQUIVALENT)
12.48/4.87	Let/Where Reductions:
12.48/4.87	The bindings of the following Let/Where expression
12.48/4.87	"m where {
12.48/4.87	m  = m0 vu6;
12.48/4.87	;
12.48/4.87	m0 (m,vv) = m;
12.48/4.87	;
12.48/4.87	vu6  = properFraction x;
12.48/4.87	} 
12.48/4.87	"
12.48/4.87	are unpacked to the following functions on top level
12.48/4.87	"truncateVu6 vuv = properFraction vuv;
12.48/4.87	"
12.48/4.87	"truncateM0 vuv (m,vv) = m;
12.48/4.87	"
12.48/4.87	"truncateM vuv = truncateM0 vuv (truncateVu6 vuv);
12.48/4.87	"
12.48/4.87	The bindings of the following Let/Where expression
12.48/4.87	"(fromIntegral q,r :% y) where {
12.48/4.87	q  = q1 vu30;
12.48/4.87	;
12.48/4.87	q1 (q,vw) = q;
12.48/4.87	;
12.48/4.87	r  = r0 vu30;
12.48/4.87	;
12.48/4.87	r0 (vx,r) = r;
12.48/4.87	;
12.48/4.87	vu30  = quotRem x y;
12.48/4.87	} 
12.48/4.87	"
12.48/4.87	are unpacked to the following functions on top level
12.48/4.87	"properFractionQ1 vuw vux (q,vw) = q;
12.48/4.87	"
12.48/4.87	"properFractionR vuw vux = properFractionR0 vuw vux (properFractionVu30 vuw vux);
12.48/4.87	"
12.48/4.87	"properFractionVu30 vuw vux = quotRem vuw vux;
12.48/4.87	"
12.48/4.87	"properFractionQ vuw vux = properFractionQ1 vuw vux (properFractionVu30 vuw vux);
12.48/4.87	"
12.48/4.87	"properFractionR0 vuw vux (vx,r) = r;
12.48/4.87	"
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(10)
12.48/4.87	Obligation:
12.48/4.87	mainModule Main 
12.48/4.87	module Main where {
12.48/4.87	import qualified Prelude;
12.48/4.87	}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(11) NumRed (SOUND)
12.48/4.87	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(12)
12.48/4.87	Obligation:
12.48/4.87	mainModule Main 
12.48/4.87	module Main where {
12.48/4.87	import qualified Prelude;
12.48/4.87	}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(13) Narrow (SOUND)
12.48/4.87	Haskell To QDPs
12.48/4.87	
12.48/4.87	digraph dp_graph {
12.48/4.87	node [outthreshold=100, inthreshold=100];1[label="succ",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
12.48/4.87	3[label="succ vuy3",fontsize=16,color="blue",shape="box"];859[label="succ :: (Ratio a) -> Ratio a",fontsize=10,color="white",style="solid",shape="box"];3 -> 859[label="",style="solid", color="blue", weight=9];
12.48/4.87	859 -> 4[label="",style="solid", color="blue", weight=3];
12.48/4.87	860[label="succ :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];3 -> 860[label="",style="solid", color="blue", weight=9];
12.48/4.87	860 -> 5[label="",style="solid", color="blue", weight=3];
12.48/4.87	861[label="succ :: Ordering -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3 -> 861[label="",style="solid", color="blue", weight=9];
12.48/4.87	861 -> 6[label="",style="solid", color="blue", weight=3];
12.48/4.87	862[label="succ :: Float -> Float",fontsize=10,color="white",style="solid",shape="box"];3 -> 862[label="",style="solid", color="blue", weight=9];
12.48/4.87	862 -> 7[label="",style="solid", color="blue", weight=3];
12.48/4.87	863[label="succ :: Integer -> Integer",fontsize=10,color="white",style="solid",shape="box"];3 -> 863[label="",style="solid", color="blue", weight=9];
12.48/4.87	863 -> 8[label="",style="solid", color="blue", weight=3];
12.48/4.87	864[label="succ :: Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];3 -> 864[label="",style="solid", color="blue", weight=9];
12.48/4.87	864 -> 9[label="",style="solid", color="blue", weight=3];
12.48/4.87	865[label="succ :: Char -> Char",fontsize=10,color="white",style="solid",shape="box"];3 -> 865[label="",style="solid", color="blue", weight=9];
12.48/4.87	865 -> 10[label="",style="solid", color="blue", weight=3];
12.48/4.87	866[label="succ :: () -> ()",fontsize=10,color="white",style="solid",shape="box"];3 -> 866[label="",style="solid", color="blue", weight=9];
12.48/4.87	866 -> 11[label="",style="solid", color="blue", weight=3];
12.48/4.87	867[label="succ :: Double -> Double",fontsize=10,color="white",style="solid",shape="box"];3 -> 867[label="",style="solid", color="blue", weight=9];
12.48/4.87	867 -> 12[label="",style="solid", color="blue", weight=3];
12.48/4.87	4[label="succ vuy3",fontsize=16,color="black",shape="box"];4 -> 13[label="",style="solid", color="black", weight=3];
12.48/4.87	5[label="succ vuy3",fontsize=16,color="burlywood",shape="triangle"];868[label="vuy3/Pos vuy30",fontsize=10,color="white",style="solid",shape="box"];5 -> 868[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	868 -> 14[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	869[label="vuy3/Neg vuy30",fontsize=10,color="white",style="solid",shape="box"];5 -> 869[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	869 -> 15[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	6[label="succ vuy3",fontsize=16,color="black",shape="box"];6 -> 16[label="",style="solid", color="black", weight=3];
12.48/4.87	7[label="succ vuy3",fontsize=16,color="black",shape="box"];7 -> 17[label="",style="solid", color="black", weight=3];
12.48/4.87	8[label="succ vuy3",fontsize=16,color="burlywood",shape="box"];870[label="vuy3/Integer vuy30",fontsize=10,color="white",style="solid",shape="box"];8 -> 870[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	870 -> 18[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	9[label="succ vuy3",fontsize=16,color="black",shape="box"];9 -> 19[label="",style="solid", color="black", weight=3];
12.48/4.87	10[label="succ vuy3",fontsize=16,color="black",shape="box"];10 -> 20[label="",style="solid", color="black", weight=3];
12.48/4.87	11[label="succ vuy3",fontsize=16,color="black",shape="box"];11 -> 21[label="",style="solid", color="black", weight=3];
12.48/4.87	12[label="succ vuy3",fontsize=16,color="black",shape="box"];12 -> 22[label="",style="solid", color="black", weight=3];
12.48/4.87	13[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];13 -> 23[label="",style="solid", color="black", weight=3];
12.48/4.87	14[label="succ (Pos vuy30)",fontsize=16,color="burlywood",shape="box"];871[label="vuy30/Succ vuy300",fontsize=10,color="white",style="solid",shape="box"];14 -> 871[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	871 -> 24[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	872[label="vuy30/Zero",fontsize=10,color="white",style="solid",shape="box"];14 -> 872[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	872 -> 25[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	15[label="succ (Neg vuy30)",fontsize=16,color="burlywood",shape="box"];873[label="vuy30/Succ vuy300",fontsize=10,color="white",style="solid",shape="box"];15 -> 873[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	873 -> 26[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	874[label="vuy30/Zero",fontsize=10,color="white",style="solid",shape="box"];15 -> 874[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	874 -> 27[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	16[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];16 -> 28[label="",style="solid", color="black", weight=3];
12.48/4.87	17[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];17 -> 29[label="",style="solid", color="black", weight=3];
12.48/4.87	18[label="succ (Integer vuy30)",fontsize=16,color="black",shape="box"];18 -> 30[label="",style="solid", color="black", weight=3];
12.48/4.87	19[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];19 -> 31[label="",style="solid", color="black", weight=3];
12.48/4.87	20[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];20 -> 32[label="",style="solid", color="black", weight=3];
12.48/4.87	21[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];21 -> 33[label="",style="solid", color="black", weight=3];
12.48/4.87	22[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];22 -> 34[label="",style="solid", color="black", weight=3];
12.48/4.87	23[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];23 -> 35[label="",style="solid", color="black", weight=3];
12.48/4.87	24[label="succ (Pos (Succ vuy300))",fontsize=16,color="black",shape="box"];24 -> 36[label="",style="solid", color="black", weight=3];
12.48/4.87	25[label="succ (Pos Zero)",fontsize=16,color="black",shape="box"];25 -> 37[label="",style="solid", color="black", weight=3];
12.48/4.87	26[label="succ (Neg (Succ vuy300))",fontsize=16,color="black",shape="box"];26 -> 38[label="",style="solid", color="black", weight=3];
12.48/4.87	27[label="succ (Neg Zero)",fontsize=16,color="black",shape="box"];27 -> 39[label="",style="solid", color="black", weight=3];
12.48/4.87	28[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];28 -> 40[label="",style="solid", color="black", weight=3];
12.48/4.87	29[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];29 -> 41[label="",style="solid", color="black", weight=3];
12.48/4.87	30[label="Integer (succ vuy30)",fontsize=16,color="green",shape="box"];30 -> 42[label="",style="dashed", color="green", weight=3];
12.48/4.87	31[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];31 -> 43[label="",style="solid", color="black", weight=3];
12.48/4.87	32[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];32 -> 44[label="",style="solid", color="black", weight=3];
12.48/4.87	33[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];33 -> 45[label="",style="solid", color="black", weight=3];
12.48/4.87	34[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];34 -> 46[label="",style="solid", color="black", weight=3];
12.48/4.87	35[label="fromInt ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];35 -> 47[label="",style="solid", color="black", weight=3];
12.48/4.87	36[label="Pos (Succ (Succ vuy300))",fontsize=16,color="green",shape="box"];37[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];38[label="Neg vuy300",fontsize=16,color="green",shape="box"];39[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];40[label="toEnum9 ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];40 -> 48[label="",style="solid", color="black", weight=3];
12.48/4.87	41[label="primIntToFloat ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];41 -> 49[label="",style="solid", color="black", weight=3];
12.48/4.87	42 -> 5[label="",style="dashed", color="red", weight=0];
12.48/4.87	42[label="succ vuy30",fontsize=16,color="magenta"];42 -> 50[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	43[label="toEnum3 ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];43 -> 51[label="",style="solid", color="black", weight=3];
12.48/4.87	44[label="primIntToChar ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];44 -> 52[label="",style="solid", color="black", weight=3];
12.48/4.87	45[label="toEnum11 ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];45 -> 53[label="",style="solid", color="black", weight=3];
12.48/4.87	46[label="primIntToDouble ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];46 -> 54[label="",style="solid", color="black", weight=3];
12.48/4.87	47[label="intToRatio ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];47 -> 55[label="",style="solid", color="black", weight=3];
12.48/4.87	48[label="toEnum8 ((Pos (Succ Zero) +) . fromEnum == Pos Zero) ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];48 -> 56[label="",style="solid", color="black", weight=3];
12.48/4.87	49[label="Float ((Pos (Succ Zero) +) . fromEnum) (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];49 -> 57[label="",style="dashed", color="green", weight=3];
12.48/4.87	50[label="vuy30",fontsize=16,color="green",shape="box"];51[label="toEnum2 ((Pos (Succ Zero) +) . fromEnum == Pos Zero) ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];51 -> 58[label="",style="solid", color="black", weight=3];
12.48/4.87	52[label="primIntToChar (Pos (Succ Zero) + fromEnum vuy3)",fontsize=16,color="black",shape="box"];52 -> 59[label="",style="solid", color="black", weight=3];
12.48/4.87	53[label="toEnum10 ((Pos (Succ Zero) +) . fromEnum == Pos Zero) ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];53 -> 60[label="",style="solid", color="black", weight=3];
12.48/4.87	54[label="Double ((Pos (Succ Zero) +) . fromEnum) (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];54 -> 61[label="",style="dashed", color="green", weight=3];
12.48/4.87	55[label="fromInt ((Pos (Succ Zero) +) . fromEnum) :% fromInt (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];55 -> 62[label="",style="dashed", color="green", weight=3];
12.48/4.87	55 -> 63[label="",style="dashed", color="green", weight=3];
12.48/4.87	56[label="toEnum8 (primEqInt ((Pos (Succ Zero) +) . fromEnum) (Pos Zero)) ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];56 -> 64[label="",style="solid", color="black", weight=3];
12.48/4.87	57[label="(Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];57 -> 65[label="",style="solid", color="black", weight=3];
12.48/4.87	58[label="toEnum2 (primEqInt ((Pos (Succ Zero) +) . fromEnum) (Pos Zero)) ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];58 -> 66[label="",style="solid", color="black", weight=3];
12.48/4.87	59[label="primIntToChar (primPlusInt (Pos (Succ Zero)) (fromEnum vuy3))",fontsize=16,color="black",shape="box"];59 -> 67[label="",style="solid", color="black", weight=3];
12.48/4.87	60[label="toEnum10 (primEqInt ((Pos (Succ Zero) +) . fromEnum) (Pos Zero)) ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];60 -> 68[label="",style="solid", color="black", weight=3];
12.48/4.87	61[label="(Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];61 -> 69[label="",style="solid", color="black", weight=3];
12.48/4.87	62[label="fromInt ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="blue",shape="box"];875[label="fromInt :: Int -> Integer",fontsize=10,color="white",style="solid",shape="box"];62 -> 875[label="",style="solid", color="blue", weight=9];
12.48/4.87	875 -> 70[label="",style="solid", color="blue", weight=3];
12.48/4.87	876[label="fromInt :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];62 -> 876[label="",style="solid", color="blue", weight=9];
12.48/4.87	876 -> 71[label="",style="solid", color="blue", weight=3];
12.48/4.87	63[label="fromInt (Pos (Succ Zero))",fontsize=16,color="blue",shape="box"];877[label="fromInt :: -> Int Integer",fontsize=10,color="white",style="solid",shape="box"];63 -> 877[label="",style="solid", color="blue", weight=9];
12.48/4.87	877 -> 72[label="",style="solid", color="blue", weight=3];
12.48/4.87	878[label="fromInt :: -> Int Int",fontsize=10,color="white",style="solid",shape="box"];63 -> 878[label="",style="solid", color="blue", weight=9];
12.48/4.87	878 -> 73[label="",style="solid", color="blue", weight=3];
12.48/4.87	64[label="toEnum8 (primEqInt (Pos (Succ Zero) + fromEnum vuy3) (Pos Zero)) (Pos (Succ Zero) + fromEnum vuy3)",fontsize=16,color="black",shape="box"];64 -> 74[label="",style="solid", color="black", weight=3];
12.48/4.87	65[label="Pos (Succ Zero) + fromEnum vuy3",fontsize=16,color="black",shape="box"];65 -> 75[label="",style="solid", color="black", weight=3];
12.48/4.87	66[label="toEnum2 (primEqInt (Pos (Succ Zero) + fromEnum vuy3) (Pos Zero)) (Pos (Succ Zero) + fromEnum vuy3)",fontsize=16,color="black",shape="box"];66 -> 76[label="",style="solid", color="black", weight=3];
12.48/4.87	67[label="primIntToChar (primPlusInt (Pos (Succ Zero)) (primCharToInt vuy3))",fontsize=16,color="burlywood",shape="box"];879[label="vuy3/Char vuy30",fontsize=10,color="white",style="solid",shape="box"];67 -> 879[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	879 -> 77[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	68[label="toEnum10 (primEqInt (Pos (Succ Zero) + fromEnum vuy3) (Pos Zero)) (Pos (Succ Zero) + fromEnum vuy3)",fontsize=16,color="black",shape="box"];68 -> 78[label="",style="solid", color="black", weight=3];
12.48/4.87	69[label="Pos (Succ Zero) + fromEnum vuy3",fontsize=16,color="black",shape="box"];69 -> 79[label="",style="solid", color="black", weight=3];
12.48/4.87	70[label="fromInt ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];70 -> 80[label="",style="solid", color="black", weight=3];
12.48/4.87	71[label="fromInt ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];71 -> 81[label="",style="solid", color="black", weight=3];
12.48/4.87	72[label="fromInt (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];72 -> 82[label="",style="solid", color="black", weight=3];
12.48/4.87	73[label="fromInt (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];73 -> 83[label="",style="solid", color="black", weight=3];
12.48/4.87	74[label="toEnum8 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum vuy3)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum vuy3))",fontsize=16,color="burlywood",shape="box"];880[label="vuy3/LT",fontsize=10,color="white",style="solid",shape="box"];74 -> 880[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	880 -> 84[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	881[label="vuy3/EQ",fontsize=10,color="white",style="solid",shape="box"];74 -> 881[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	881 -> 85[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	882[label="vuy3/GT",fontsize=10,color="white",style="solid",shape="box"];74 -> 882[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	882 -> 86[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	75[label="primPlusInt (Pos (Succ Zero)) (fromEnum vuy3)",fontsize=16,color="black",shape="box"];75 -> 87[label="",style="solid", color="black", weight=3];
12.48/4.87	76[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum vuy3)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum vuy3))",fontsize=16,color="burlywood",shape="box"];883[label="vuy3/False",fontsize=10,color="white",style="solid",shape="box"];76 -> 883[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	883 -> 88[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	884[label="vuy3/True",fontsize=10,color="white",style="solid",shape="box"];76 -> 884[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	884 -> 89[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	77[label="primIntToChar (primPlusInt (Pos (Succ Zero)) (primCharToInt (Char vuy30)))",fontsize=16,color="black",shape="box"];77 -> 90[label="",style="solid", color="black", weight=3];
12.48/4.87	78[label="toEnum10 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum vuy3)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum vuy3))",fontsize=16,color="burlywood",shape="box"];885[label="vuy3/()",fontsize=10,color="white",style="solid",shape="box"];78 -> 885[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	885 -> 91[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	79[label="primPlusInt (Pos (Succ Zero)) (fromEnum vuy3)",fontsize=16,color="black",shape="box"];79 -> 92[label="",style="solid", color="black", weight=3];
12.48/4.87	80[label="Integer ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="green",shape="box"];80 -> 93[label="",style="dashed", color="green", weight=3];
12.48/4.87	81[label="(Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];81 -> 94[label="",style="solid", color="black", weight=3];
12.48/4.87	82[label="Integer (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];83[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];84[label="toEnum8 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum LT)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum LT))",fontsize=16,color="black",shape="box"];84 -> 95[label="",style="solid", color="black", weight=3];
12.48/4.87	85[label="toEnum8 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum EQ)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum EQ))",fontsize=16,color="black",shape="box"];85 -> 96[label="",style="solid", color="black", weight=3];
12.48/4.87	86[label="toEnum8 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum GT)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum GT))",fontsize=16,color="black",shape="box"];86 -> 97[label="",style="solid", color="black", weight=3];
12.48/4.87	87[label="primPlusInt (Pos (Succ Zero)) (truncate vuy3)",fontsize=16,color="black",shape="box"];87 -> 98[label="",style="solid", color="black", weight=3];
12.48/4.87	88[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum False)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum False))",fontsize=16,color="black",shape="box"];88 -> 99[label="",style="solid", color="black", weight=3];
12.48/4.87	89[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum True)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum True))",fontsize=16,color="black",shape="box"];89 -> 100[label="",style="solid", color="black", weight=3];
12.48/4.87	90[label="primIntToChar (primPlusInt (Pos (Succ Zero)) (Pos vuy30))",fontsize=16,color="black",shape="box"];90 -> 101[label="",style="solid", color="black", weight=3];
12.48/4.87	91[label="toEnum10 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnum ())) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnum ()))",fontsize=16,color="black",shape="box"];91 -> 102[label="",style="solid", color="black", weight=3];
12.48/4.87	92[label="primPlusInt (Pos (Succ Zero)) (truncate vuy3)",fontsize=16,color="black",shape="box"];92 -> 103[label="",style="solid", color="black", weight=3];
12.48/4.87	93[label="(Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];93 -> 104[label="",style="solid", color="black", weight=3];
12.48/4.87	94[label="Pos (Succ Zero) + fromEnum vuy3",fontsize=16,color="black",shape="box"];94 -> 105[label="",style="solid", color="black", weight=3];
12.48/4.87	95[label="toEnum8 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos Zero)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];95 -> 106[label="",style="solid", color="black", weight=3];
12.48/4.87	96[label="toEnum8 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];96 -> 107[label="",style="solid", color="black", weight=3];
12.48/4.87	97[label="toEnum8 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos (Succ (Succ Zero)))) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos (Succ (Succ Zero))))",fontsize=16,color="black",shape="box"];97 -> 108[label="",style="solid", color="black", weight=3];
12.48/4.87	98[label="primPlusInt (Pos (Succ Zero)) (truncateM vuy3)",fontsize=16,color="black",shape="box"];98 -> 109[label="",style="solid", color="black", weight=3];
12.48/4.87	99[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos Zero)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];99 -> 110[label="",style="solid", color="black", weight=3];
12.48/4.87	100[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];100 -> 111[label="",style="solid", color="black", weight=3];
12.48/4.87	101[label="primIntToChar (Pos (primPlusNat (Succ Zero) vuy30))",fontsize=16,color="black",shape="box"];101 -> 112[label="",style="solid", color="black", weight=3];
12.48/4.87	102[label="toEnum10 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos Zero)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];102 -> 113[label="",style="solid", color="black", weight=3];
12.48/4.87	103[label="primPlusInt (Pos (Succ Zero)) (truncateM vuy3)",fontsize=16,color="black",shape="box"];103 -> 114[label="",style="solid", color="black", weight=3];
12.48/4.87	104[label="Pos (Succ Zero) + fromEnum vuy3",fontsize=16,color="black",shape="box"];104 -> 115[label="",style="solid", color="black", weight=3];
12.48/4.87	105[label="primPlusInt (Pos (Succ Zero)) (fromEnum vuy3)",fontsize=16,color="black",shape="box"];105 -> 116[label="",style="solid", color="black", weight=3];
12.48/4.87	106[label="toEnum8 (primEqInt (Pos (primPlusNat (Succ Zero) Zero)) (Pos Zero)) (Pos (primPlusNat (Succ Zero) Zero))",fontsize=16,color="black",shape="box"];106 -> 117[label="",style="solid", color="black", weight=3];
12.48/4.87	107[label="toEnum8 (primEqInt (Pos (primPlusNat (Succ Zero) (Succ Zero))) (Pos Zero)) (Pos (primPlusNat (Succ Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];107 -> 118[label="",style="solid", color="black", weight=3];
12.48/4.87	108[label="toEnum8 (primEqInt (Pos (primPlusNat (Succ Zero) (Succ (Succ Zero)))) (Pos Zero)) (Pos (primPlusNat (Succ Zero) (Succ (Succ Zero))))",fontsize=16,color="black",shape="box"];108 -> 119[label="",style="solid", color="black", weight=3];
12.48/4.87	109[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (truncateVu6 vuy3))",fontsize=16,color="black",shape="box"];109 -> 120[label="",style="solid", color="black", weight=3];
12.48/4.87	110[label="toEnum2 (primEqInt (Pos (primPlusNat (Succ Zero) Zero)) (Pos Zero)) (Pos (primPlusNat (Succ Zero) Zero))",fontsize=16,color="black",shape="box"];110 -> 121[label="",style="solid", color="black", weight=3];
12.48/4.87	111[label="toEnum2 (primEqInt (Pos (primPlusNat (Succ Zero) (Succ Zero))) (Pos Zero)) (Pos (primPlusNat (Succ Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];111 -> 122[label="",style="solid", color="black", weight=3];
12.48/4.87	112[label="Char (primPlusNat (Succ Zero) vuy30)",fontsize=16,color="green",shape="box"];112 -> 123[label="",style="dashed", color="green", weight=3];
12.48/4.87	113[label="toEnum10 (primEqInt (Pos (primPlusNat (Succ Zero) Zero)) (Pos Zero)) (Pos (primPlusNat (Succ Zero) Zero))",fontsize=16,color="black",shape="box"];113 -> 124[label="",style="solid", color="black", weight=3];
12.48/4.87	114[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (truncateVu6 vuy3))",fontsize=16,color="black",shape="box"];114 -> 125[label="",style="solid", color="black", weight=3];
12.48/4.87	115[label="primPlusInt (Pos (Succ Zero)) (fromEnum vuy3)",fontsize=16,color="black",shape="box"];115 -> 126[label="",style="solid", color="black", weight=3];
12.48/4.87	116[label="primPlusInt (Pos (Succ Zero)) (truncate vuy3)",fontsize=16,color="black",shape="box"];116 -> 127[label="",style="solid", color="black", weight=3];
12.48/4.87	117[label="toEnum8 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];117 -> 128[label="",style="solid", color="black", weight=3];
12.48/4.87	118[label="toEnum8 (primEqInt (Pos (Succ (Succ (primPlusNat Zero Zero)))) (Pos Zero)) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];118 -> 129[label="",style="solid", color="black", weight=3];
12.48/4.87	119[label="toEnum8 (primEqInt (Pos (Succ (Succ (primPlusNat Zero (Succ Zero))))) (Pos Zero)) (Pos (Succ (Succ (primPlusNat Zero (Succ Zero)))))",fontsize=16,color="black",shape="box"];119 -> 130[label="",style="solid", color="black", weight=3];
12.48/4.87	120[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (properFraction vuy3))",fontsize=16,color="black",shape="box"];120 -> 131[label="",style="solid", color="black", weight=3];
12.48/4.87	121[label="toEnum2 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];121 -> 132[label="",style="solid", color="black", weight=3];
12.48/4.87	122[label="toEnum2 (primEqInt (Pos (Succ (Succ (primPlusNat Zero Zero)))) (Pos Zero)) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];122 -> 133[label="",style="solid", color="black", weight=3];
12.48/4.87	123[label="primPlusNat (Succ Zero) vuy30",fontsize=16,color="burlywood",shape="triangle"];886[label="vuy30/Succ vuy300",fontsize=10,color="white",style="solid",shape="box"];123 -> 886[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	886 -> 134[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	887[label="vuy30/Zero",fontsize=10,color="white",style="solid",shape="box"];123 -> 887[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	887 -> 135[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	124[label="toEnum10 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];124 -> 136[label="",style="solid", color="black", weight=3];
12.48/4.87	125[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (properFraction vuy3))",fontsize=16,color="black",shape="box"];125 -> 137[label="",style="solid", color="black", weight=3];
12.48/4.87	126[label="primPlusInt (Pos (Succ Zero)) (truncate vuy3)",fontsize=16,color="black",shape="box"];126 -> 138[label="",style="solid", color="black", weight=3];
12.48/4.87	127[label="primPlusInt (Pos (Succ Zero)) (truncateM vuy3)",fontsize=16,color="black",shape="box"];127 -> 139[label="",style="solid", color="black", weight=3];
12.48/4.87	128[label="toEnum8 False (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];128 -> 140[label="",style="solid", color="black", weight=3];
12.48/4.87	129[label="toEnum8 False (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];129 -> 141[label="",style="solid", color="black", weight=3];
12.48/4.87	130[label="toEnum8 False (Pos (Succ (Succ (primPlusNat Zero (Succ Zero)))))",fontsize=16,color="black",shape="box"];130 -> 142[label="",style="solid", color="black", weight=3];
12.48/4.87	131[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (floatProperFractionFloat vuy3))",fontsize=16,color="burlywood",shape="box"];888[label="vuy3/Float vuy30 vuy31",fontsize=10,color="white",style="solid",shape="box"];131 -> 888[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	888 -> 143[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	132[label="toEnum2 False (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];132 -> 144[label="",style="solid", color="black", weight=3];
12.48/4.87	133[label="toEnum2 False (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];133 -> 145[label="",style="solid", color="black", weight=3];
12.48/4.87	134[label="primPlusNat (Succ Zero) (Succ vuy300)",fontsize=16,color="black",shape="box"];134 -> 146[label="",style="solid", color="black", weight=3];
12.48/4.87	135[label="primPlusNat (Succ Zero) Zero",fontsize=16,color="black",shape="box"];135 -> 147[label="",style="solid", color="black", weight=3];
12.48/4.87	136[label="toEnum10 False (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];136 -> 148[label="",style="solid", color="black", weight=3];
12.48/4.87	137[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (floatProperFractionDouble vuy3))",fontsize=16,color="burlywood",shape="box"];889[label="vuy3/Double vuy30 vuy31",fontsize=10,color="white",style="solid",shape="box"];137 -> 889[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	889 -> 149[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	138[label="primPlusInt (Pos (Succ Zero)) (truncateM vuy3)",fontsize=16,color="black",shape="box"];138 -> 150[label="",style="solid", color="black", weight=3];
12.48/4.87	139[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (truncateVu6 vuy3))",fontsize=16,color="black",shape="box"];139 -> 151[label="",style="solid", color="black", weight=3];
12.48/4.87	140[label="toEnum7 (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];140 -> 152[label="",style="solid", color="black", weight=3];
12.48/4.87	141[label="toEnum7 (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];141 -> 153[label="",style="solid", color="black", weight=3];
12.48/4.87	142[label="toEnum7 (Pos (Succ (Succ (primPlusNat Zero (Succ Zero)))))",fontsize=16,color="black",shape="box"];142 -> 154[label="",style="solid", color="black", weight=3];
12.48/4.87	143[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (Float vuy30 vuy31) (floatProperFractionFloat (Float vuy30 vuy31)))",fontsize=16,color="black",shape="box"];143 -> 155[label="",style="solid", color="black", weight=3];
12.48/4.87	144[label="toEnum1 (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];144 -> 156[label="",style="solid", color="black", weight=3];
12.48/4.87	145[label="toEnum1 (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];145 -> 157[label="",style="solid", color="black", weight=3];
12.48/4.87	146[label="Succ (Succ (primPlusNat Zero vuy300))",fontsize=16,color="green",shape="box"];146 -> 158[label="",style="dashed", color="green", weight=3];
12.48/4.87	147[label="Succ Zero",fontsize=16,color="green",shape="box"];148[label="error []",fontsize=16,color="red",shape="box"];149[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (Double vuy30 vuy31) (floatProperFractionDouble (Double vuy30 vuy31)))",fontsize=16,color="black",shape="box"];149 -> 159[label="",style="solid", color="black", weight=3];
12.48/4.87	150[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (truncateVu6 vuy3))",fontsize=16,color="black",shape="box"];150 -> 160[label="",style="solid", color="black", weight=3];
12.48/4.87	151[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (properFraction vuy3))",fontsize=16,color="burlywood",shape="box"];890[label="vuy3/vuy30 :% vuy31",fontsize=10,color="white",style="solid",shape="box"];151 -> 890[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	890 -> 161[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	152[label="toEnum6 (Pos (Succ Zero) == Pos (Succ Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];152 -> 162[label="",style="solid", color="black", weight=3];
12.48/4.87	153[label="toEnum6 (Pos (Succ (Succ (primPlusNat Zero Zero))) == Pos (Succ Zero)) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];153 -> 163[label="",style="solid", color="black", weight=3];
12.48/4.87	154[label="toEnum6 (Pos (Succ (Succ (primPlusNat Zero (Succ Zero)))) == Pos (Succ Zero)) (Pos (Succ (Succ (primPlusNat Zero (Succ Zero)))))",fontsize=16,color="black",shape="box"];154 -> 164[label="",style="solid", color="black", weight=3];
12.48/4.87	155[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (Float vuy30 vuy31) (fromInt (vuy30 `quot` vuy31),Float vuy30 vuy31 - fromInt (vuy30 `quot` vuy31)))",fontsize=16,color="black",shape="box"];155 -> 165[label="",style="solid", color="black", weight=3];
12.48/4.87	156[label="toEnum0 (Pos (Succ Zero) == Pos (Succ Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];156 -> 166[label="",style="solid", color="black", weight=3];
12.48/4.87	157[label="toEnum0 (Pos (Succ (Succ (primPlusNat Zero Zero))) == Pos (Succ Zero)) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];157 -> 167[label="",style="solid", color="black", weight=3];
12.48/4.87	158[label="primPlusNat Zero vuy300",fontsize=16,color="burlywood",shape="triangle"];891[label="vuy300/Succ vuy3000",fontsize=10,color="white",style="solid",shape="box"];158 -> 891[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	891 -> 168[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	892[label="vuy300/Zero",fontsize=10,color="white",style="solid",shape="box"];158 -> 892[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	892 -> 169[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	159[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (Double vuy30 vuy31) (fromInt (vuy30 `quot` vuy31),Double vuy30 vuy31 - fromInt (vuy30 `quot` vuy31)))",fontsize=16,color="black",shape="box"];159 -> 170[label="",style="solid", color="black", weight=3];
12.48/4.87	160[label="primPlusInt (Pos (Succ Zero)) (truncateM0 vuy3 (properFraction vuy3))",fontsize=16,color="burlywood",shape="box"];893[label="vuy3/vuy30 :% vuy31",fontsize=10,color="white",style="solid",shape="box"];160 -> 893[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	893 -> 171[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	161[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (vuy30 :% vuy31) (properFraction (vuy30 :% vuy31)))",fontsize=16,color="black",shape="box"];161 -> 172[label="",style="solid", color="black", weight=3];
12.48/4.87	162[label="toEnum6 (primEqInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];162 -> 173[label="",style="solid", color="black", weight=3];
12.48/4.87	163 -> 174[label="",style="dashed", color="red", weight=0];
12.48/4.87	163[label="toEnum6 (primEqInt (Pos (Succ (Succ (primPlusNat Zero Zero)))) (Pos (Succ Zero))) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="magenta"];163 -> 175[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	163 -> 176[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	164 -> 174[label="",style="dashed", color="red", weight=0];
12.48/4.87	164[label="toEnum6 (primEqInt (Pos (Succ (Succ (primPlusNat Zero (Succ Zero))))) (Pos (Succ Zero))) (Pos (Succ (Succ (primPlusNat Zero (Succ Zero)))))",fontsize=16,color="magenta"];164 -> 177[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	164 -> 178[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	165[label="primPlusInt (Pos (Succ Zero)) (fromInt (vuy30 `quot` vuy31))",fontsize=16,color="black",shape="triangle"];165 -> 179[label="",style="solid", color="black", weight=3];
12.48/4.87	166[label="toEnum0 (primEqInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];166 -> 180[label="",style="solid", color="black", weight=3];
12.48/4.87	167 -> 181[label="",style="dashed", color="red", weight=0];
12.48/4.87	167[label="toEnum0 (primEqInt (Pos (Succ (Succ (primPlusNat Zero Zero)))) (Pos (Succ Zero))) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="magenta"];167 -> 182[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	167 -> 183[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	168[label="primPlusNat Zero (Succ vuy3000)",fontsize=16,color="black",shape="box"];168 -> 184[label="",style="solid", color="black", weight=3];
12.48/4.87	169[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];169 -> 185[label="",style="solid", color="black", weight=3];
12.48/4.87	170 -> 165[label="",style="dashed", color="red", weight=0];
12.48/4.87	170[label="primPlusInt (Pos (Succ Zero)) (fromInt (vuy30 `quot` vuy31))",fontsize=16,color="magenta"];170 -> 186[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	170 -> 187[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	171[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (vuy30 :% vuy31) (properFraction (vuy30 :% vuy31)))",fontsize=16,color="black",shape="box"];171 -> 188[label="",style="solid", color="black", weight=3];
12.48/4.87	172[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (vuy30 :% vuy31) (fromIntegral (properFractionQ vuy30 vuy31),properFractionR vuy30 vuy31 :% vuy31))",fontsize=16,color="black",shape="box"];172 -> 189[label="",style="solid", color="black", weight=3];
12.48/4.87	173[label="toEnum6 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];173 -> 190[label="",style="solid", color="black", weight=3];
12.48/4.87	175 -> 158[label="",style="dashed", color="red", weight=0];
12.48/4.87	175[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];175 -> 191[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	176 -> 158[label="",style="dashed", color="red", weight=0];
12.48/4.87	176[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];176 -> 192[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	174[label="toEnum6 (primEqInt (Pos (Succ (Succ vuy5))) (Pos (Succ Zero))) (Pos (Succ (Succ vuy4)))",fontsize=16,color="black",shape="triangle"];174 -> 193[label="",style="solid", color="black", weight=3];
12.48/4.87	177 -> 158[label="",style="dashed", color="red", weight=0];
12.48/4.87	177[label="primPlusNat Zero (Succ Zero)",fontsize=16,color="magenta"];177 -> 194[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	178 -> 158[label="",style="dashed", color="red", weight=0];
12.48/4.87	178[label="primPlusNat Zero (Succ Zero)",fontsize=16,color="magenta"];178 -> 195[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	179[label="primPlusInt (Pos (Succ Zero)) (vuy30 `quot` vuy31)",fontsize=16,color="black",shape="box"];179 -> 196[label="",style="solid", color="black", weight=3];
12.48/4.87	180[label="toEnum0 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];180 -> 197[label="",style="solid", color="black", weight=3];
12.48/4.87	182 -> 158[label="",style="dashed", color="red", weight=0];
12.48/4.87	182[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];182 -> 198[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	183 -> 158[label="",style="dashed", color="red", weight=0];
12.48/4.87	183[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];183 -> 199[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	181[label="toEnum0 (primEqInt (Pos (Succ (Succ vuy7))) (Pos (Succ Zero))) (Pos (Succ (Succ vuy6)))",fontsize=16,color="black",shape="triangle"];181 -> 200[label="",style="solid", color="black", weight=3];
12.48/4.87	184[label="Succ vuy3000",fontsize=16,color="green",shape="box"];185[label="Zero",fontsize=16,color="green",shape="box"];186[label="vuy31",fontsize=16,color="green",shape="box"];187[label="vuy30",fontsize=16,color="green",shape="box"];188[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (vuy30 :% vuy31) (fromIntegral (properFractionQ vuy30 vuy31),properFractionR vuy30 vuy31 :% vuy31))",fontsize=16,color="black",shape="box"];188 -> 201[label="",style="solid", color="black", weight=3];
12.48/4.87	189[label="primPlusInt (Pos (Succ Zero)) (fromIntegral (properFractionQ vuy30 vuy31))",fontsize=16,color="black",shape="box"];189 -> 202[label="",style="solid", color="black", weight=3];
12.48/4.87	190[label="toEnum6 True (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];190 -> 203[label="",style="solid", color="black", weight=3];
12.48/4.87	191[label="Zero",fontsize=16,color="green",shape="box"];192[label="Zero",fontsize=16,color="green",shape="box"];193[label="toEnum6 (primEqNat (Succ vuy5) Zero) (Pos (Succ (Succ vuy4)))",fontsize=16,color="black",shape="box"];193 -> 204[label="",style="solid", color="black", weight=3];
12.48/4.87	194[label="Succ Zero",fontsize=16,color="green",shape="box"];195[label="Succ Zero",fontsize=16,color="green",shape="box"];196[label="primPlusInt (Pos (Succ Zero)) (primQuotInt vuy30 vuy31)",fontsize=16,color="burlywood",shape="triangle"];894[label="vuy30/Pos vuy300",fontsize=10,color="white",style="solid",shape="box"];196 -> 894[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	894 -> 205[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	895[label="vuy30/Neg vuy300",fontsize=10,color="white",style="solid",shape="box"];196 -> 895[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	895 -> 206[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	197[label="toEnum0 True (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];197 -> 207[label="",style="solid", color="black", weight=3];
12.48/4.87	198[label="Zero",fontsize=16,color="green",shape="box"];199[label="Zero",fontsize=16,color="green",shape="box"];200[label="toEnum0 (primEqNat (Succ vuy7) Zero) (Pos (Succ (Succ vuy6)))",fontsize=16,color="black",shape="box"];200 -> 208[label="",style="solid", color="black", weight=3];
12.48/4.87	201[label="primPlusInt (Pos (Succ Zero)) (fromIntegral (properFractionQ vuy30 vuy31))",fontsize=16,color="black",shape="box"];201 -> 209[label="",style="solid", color="black", weight=3];
12.48/4.87	202[label="primPlusInt (Pos (Succ Zero)) (fromInteger . toInteger)",fontsize=16,color="black",shape="box"];202 -> 210[label="",style="solid", color="black", weight=3];
12.48/4.87	203[label="EQ",fontsize=16,color="green",shape="box"];204[label="toEnum6 False (Pos (Succ (Succ vuy4)))",fontsize=16,color="black",shape="box"];204 -> 211[label="",style="solid", color="black", weight=3];
12.48/4.87	205[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos vuy300) vuy31)",fontsize=16,color="burlywood",shape="box"];896[label="vuy31/Pos vuy310",fontsize=10,color="white",style="solid",shape="box"];205 -> 896[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	896 -> 212[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	897[label="vuy31/Neg vuy310",fontsize=10,color="white",style="solid",shape="box"];205 -> 897[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	897 -> 213[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	206[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg vuy300) vuy31)",fontsize=16,color="burlywood",shape="box"];898[label="vuy31/Pos vuy310",fontsize=10,color="white",style="solid",shape="box"];206 -> 898[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	898 -> 214[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	899[label="vuy31/Neg vuy310",fontsize=10,color="white",style="solid",shape="box"];206 -> 899[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	899 -> 215[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	207[label="True",fontsize=16,color="green",shape="box"];208[label="toEnum0 False (Pos (Succ (Succ vuy6)))",fontsize=16,color="black",shape="box"];208 -> 216[label="",style="solid", color="black", weight=3];
12.48/4.87	209[label="primPlusInt (Pos (Succ Zero)) (fromInteger . toInteger)",fontsize=16,color="black",shape="box"];209 -> 217[label="",style="solid", color="black", weight=3];
12.48/4.87	210[label="primPlusInt (Pos (Succ Zero)) (fromInteger (toInteger (properFractionQ vuy30 vuy31)))",fontsize=16,color="black",shape="box"];210 -> 218[label="",style="solid", color="black", weight=3];
12.48/4.87	211[label="toEnum5 (Pos (Succ (Succ vuy4)))",fontsize=16,color="black",shape="box"];211 -> 219[label="",style="solid", color="black", weight=3];
12.48/4.87	212[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos vuy300) (Pos vuy310))",fontsize=16,color="burlywood",shape="box"];900[label="vuy310/Succ vuy3100",fontsize=10,color="white",style="solid",shape="box"];212 -> 900[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	900 -> 220[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	901[label="vuy310/Zero",fontsize=10,color="white",style="solid",shape="box"];212 -> 901[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	901 -> 221[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	213[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos vuy300) (Neg vuy310))",fontsize=16,color="burlywood",shape="box"];902[label="vuy310/Succ vuy3100",fontsize=10,color="white",style="solid",shape="box"];213 -> 902[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	902 -> 222[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	903[label="vuy310/Zero",fontsize=10,color="white",style="solid",shape="box"];213 -> 903[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	903 -> 223[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	214[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg vuy300) (Pos vuy310))",fontsize=16,color="burlywood",shape="box"];904[label="vuy310/Succ vuy3100",fontsize=10,color="white",style="solid",shape="box"];214 -> 904[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	904 -> 224[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	905[label="vuy310/Zero",fontsize=10,color="white",style="solid",shape="box"];214 -> 905[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	905 -> 225[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	215[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg vuy300) (Neg vuy310))",fontsize=16,color="burlywood",shape="box"];906[label="vuy310/Succ vuy3100",fontsize=10,color="white",style="solid",shape="box"];215 -> 906[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	906 -> 226[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	907[label="vuy310/Zero",fontsize=10,color="white",style="solid",shape="box"];215 -> 907[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	907 -> 227[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	216[label="error []",fontsize=16,color="red",shape="box"];217[label="primPlusInt (Pos (Succ Zero)) (fromInteger (toInteger (properFractionQ vuy30 vuy31)))",fontsize=16,color="black",shape="box"];217 -> 228[label="",style="solid", color="black", weight=3];
12.48/4.87	218[label="primPlusInt (Pos (Succ Zero)) (fromInteger (Integer (properFractionQ vuy30 vuy31)))",fontsize=16,color="black",shape="box"];218 -> 229[label="",style="solid", color="black", weight=3];
12.48/4.87	219[label="toEnum4 (Pos (Succ (Succ vuy4)) == Pos (Succ (Succ Zero))) (Pos (Succ (Succ vuy4)))",fontsize=16,color="black",shape="box"];219 -> 230[label="",style="solid", color="black", weight=3];
12.48/4.87	220[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos vuy300) (Pos (Succ vuy3100)))",fontsize=16,color="black",shape="box"];220 -> 231[label="",style="solid", color="black", weight=3];
12.48/4.87	221[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos vuy300) (Pos Zero))",fontsize=16,color="black",shape="box"];221 -> 232[label="",style="solid", color="black", weight=3];
12.48/4.87	222[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos vuy300) (Neg (Succ vuy3100)))",fontsize=16,color="black",shape="box"];222 -> 233[label="",style="solid", color="black", weight=3];
12.48/4.87	223[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos vuy300) (Neg Zero))",fontsize=16,color="black",shape="box"];223 -> 234[label="",style="solid", color="black", weight=3];
12.48/4.87	224[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg vuy300) (Pos (Succ vuy3100)))",fontsize=16,color="black",shape="box"];224 -> 235[label="",style="solid", color="black", weight=3];
12.48/4.87	225[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg vuy300) (Pos Zero))",fontsize=16,color="black",shape="box"];225 -> 236[label="",style="solid", color="black", weight=3];
12.48/4.87	226[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg vuy300) (Neg (Succ vuy3100)))",fontsize=16,color="black",shape="box"];226 -> 237[label="",style="solid", color="black", weight=3];
12.48/4.87	227[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg vuy300) (Neg Zero))",fontsize=16,color="black",shape="box"];227 -> 238[label="",style="solid", color="black", weight=3];
12.48/4.87	228[label="primPlusInt (Pos (Succ Zero)) (fromInteger (properFractionQ vuy30 vuy31))",fontsize=16,color="black",shape="box"];228 -> 239[label="",style="solid", color="black", weight=3];
12.48/4.87	229[label="primPlusInt (Pos (Succ Zero)) (properFractionQ vuy30 vuy31)",fontsize=16,color="black",shape="box"];229 -> 240[label="",style="solid", color="black", weight=3];
12.48/4.87	230[label="toEnum4 (primEqInt (Pos (Succ (Succ vuy4))) (Pos (Succ (Succ Zero)))) (Pos (Succ (Succ vuy4)))",fontsize=16,color="black",shape="box"];230 -> 241[label="",style="solid", color="black", weight=3];
12.48/4.87	231[label="primPlusInt (Pos (Succ Zero)) (Pos (primDivNatS vuy300 (Succ vuy3100)))",fontsize=16,color="black",shape="triangle"];231 -> 242[label="",style="solid", color="black", weight=3];
12.48/4.87	232[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="black",shape="triangle"];232 -> 243[label="",style="solid", color="black", weight=3];
12.48/4.87	233[label="primPlusInt (Pos (Succ Zero)) (Neg (primDivNatS vuy300 (Succ vuy3100)))",fontsize=16,color="black",shape="triangle"];233 -> 244[label="",style="solid", color="black", weight=3];
12.48/4.87	234 -> 232[label="",style="dashed", color="red", weight=0];
12.48/4.87	234[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="magenta"];235 -> 233[label="",style="dashed", color="red", weight=0];
12.48/4.87	235[label="primPlusInt (Pos (Succ Zero)) (Neg (primDivNatS vuy300 (Succ vuy3100)))",fontsize=16,color="magenta"];235 -> 245[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	235 -> 246[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	236 -> 232[label="",style="dashed", color="red", weight=0];
12.48/4.87	236[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="magenta"];237 -> 231[label="",style="dashed", color="red", weight=0];
12.48/4.87	237[label="primPlusInt (Pos (Succ Zero)) (Pos (primDivNatS vuy300 (Succ vuy3100)))",fontsize=16,color="magenta"];237 -> 247[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	237 -> 248[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	238 -> 232[label="",style="dashed", color="red", weight=0];
12.48/4.87	238[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="magenta"];239[label="primPlusInt (Pos (Succ Zero)) (fromInteger (properFractionQ1 vuy30 vuy31 (properFractionVu30 vuy30 vuy31)))",fontsize=16,color="black",shape="box"];239 -> 249[label="",style="solid", color="black", weight=3];
12.48/4.87	240[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 vuy30 vuy31 (properFractionVu30 vuy30 vuy31))",fontsize=16,color="black",shape="box"];240 -> 250[label="",style="solid", color="black", weight=3];
12.48/4.87	241[label="toEnum4 (primEqNat (Succ vuy4) (Succ Zero)) (Pos (Succ (Succ vuy4)))",fontsize=16,color="black",shape="box"];241 -> 251[label="",style="solid", color="black", weight=3];
12.48/4.87	242[label="Pos (primPlusNat (Succ Zero) (primDivNatS vuy300 (Succ vuy3100)))",fontsize=16,color="green",shape="box"];242 -> 252[label="",style="dashed", color="green", weight=3];
12.48/4.87	243[label="error []",fontsize=16,color="red",shape="box"];244[label="primMinusNat (Succ Zero) (primDivNatS vuy300 (Succ vuy3100))",fontsize=16,color="burlywood",shape="box"];908[label="vuy300/Succ vuy3000",fontsize=10,color="white",style="solid",shape="box"];244 -> 908[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	908 -> 253[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	909[label="vuy300/Zero",fontsize=10,color="white",style="solid",shape="box"];244 -> 909[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	909 -> 254[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	245[label="vuy300",fontsize=16,color="green",shape="box"];246[label="vuy3100",fontsize=16,color="green",shape="box"];247[label="vuy300",fontsize=16,color="green",shape="box"];248[label="vuy3100",fontsize=16,color="green",shape="box"];249[label="primPlusInt (Pos (Succ Zero)) (fromInteger (properFractionQ1 vuy30 vuy31 (quotRem vuy30 vuy31)))",fontsize=16,color="burlywood",shape="box"];910[label="vuy30/Integer vuy300",fontsize=10,color="white",style="solid",shape="box"];249 -> 910[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	910 -> 255[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	250[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 vuy30 vuy31 (quotRem vuy30 vuy31))",fontsize=16,color="black",shape="box"];250 -> 256[label="",style="solid", color="black", weight=3];
12.48/4.87	251[label="toEnum4 (primEqNat vuy4 Zero) (Pos (Succ (Succ vuy4)))",fontsize=16,color="burlywood",shape="box"];911[label="vuy4/Succ vuy40",fontsize=10,color="white",style="solid",shape="box"];251 -> 911[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	911 -> 257[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	912[label="vuy4/Zero",fontsize=10,color="white",style="solid",shape="box"];251 -> 912[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	912 -> 258[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	252 -> 123[label="",style="dashed", color="red", weight=0];
12.48/4.87	252[label="primPlusNat (Succ Zero) (primDivNatS vuy300 (Succ vuy3100))",fontsize=16,color="magenta"];252 -> 259[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	253[label="primMinusNat (Succ Zero) (primDivNatS (Succ vuy3000) (Succ vuy3100))",fontsize=16,color="black",shape="box"];253 -> 260[label="",style="solid", color="black", weight=3];
12.48/4.87	254[label="primMinusNat (Succ Zero) (primDivNatS Zero (Succ vuy3100))",fontsize=16,color="black",shape="box"];254 -> 261[label="",style="solid", color="black", weight=3];
12.48/4.87	255[label="primPlusInt (Pos (Succ Zero)) (fromInteger (properFractionQ1 (Integer vuy300) vuy31 (quotRem (Integer vuy300) vuy31)))",fontsize=16,color="burlywood",shape="box"];913[label="vuy31/Integer vuy310",fontsize=10,color="white",style="solid",shape="box"];255 -> 913[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	913 -> 262[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	256[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 vuy30 vuy31 (primQrmInt vuy30 vuy31))",fontsize=16,color="black",shape="box"];256 -> 263[label="",style="solid", color="black", weight=3];
12.48/4.87	257[label="toEnum4 (primEqNat (Succ vuy40) Zero) (Pos (Succ (Succ (Succ vuy40))))",fontsize=16,color="black",shape="box"];257 -> 264[label="",style="solid", color="black", weight=3];
12.48/4.87	258[label="toEnum4 (primEqNat Zero Zero) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];258 -> 265[label="",style="solid", color="black", weight=3];
12.48/4.87	259[label="primDivNatS vuy300 (Succ vuy3100)",fontsize=16,color="burlywood",shape="triangle"];914[label="vuy300/Succ vuy3000",fontsize=10,color="white",style="solid",shape="box"];259 -> 914[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	914 -> 266[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	915[label="vuy300/Zero",fontsize=10,color="white",style="solid",shape="box"];259 -> 915[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	915 -> 267[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	260[label="primMinusNat (Succ Zero) (primDivNatS0 vuy3000 vuy3100 (primGEqNatS vuy3000 vuy3100))",fontsize=16,color="burlywood",shape="box"];916[label="vuy3000/Succ vuy30000",fontsize=10,color="white",style="solid",shape="box"];260 -> 916[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	916 -> 268[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	917[label="vuy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];260 -> 917[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	917 -> 269[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	261[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="black",shape="triangle"];261 -> 270[label="",style="solid", color="black", weight=3];
12.48/4.87	262[label="primPlusInt (Pos (Succ Zero)) (fromInteger (properFractionQ1 (Integer vuy300) (Integer vuy310) (quotRem (Integer vuy300) (Integer vuy310))))",fontsize=16,color="black",shape="box"];262 -> 271[label="",style="solid", color="black", weight=3];
12.48/4.87	263[label="primPlusInt (Pos (Succ Zero)) (properFractionQ1 vuy30 vuy31 (primQuotInt vuy30 vuy31,primRemInt vuy30 vuy31))",fontsize=16,color="black",shape="box"];263 -> 272[label="",style="solid", color="black", weight=3];
12.48/4.87	264[label="toEnum4 False (Pos (Succ (Succ (Succ vuy40))))",fontsize=16,color="black",shape="box"];264 -> 273[label="",style="solid", color="black", weight=3];
12.48/4.87	265[label="toEnum4 True (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];265 -> 274[label="",style="solid", color="black", weight=3];
12.48/4.87	266[label="primDivNatS (Succ vuy3000) (Succ vuy3100)",fontsize=16,color="black",shape="box"];266 -> 275[label="",style="solid", color="black", weight=3];
12.48/4.87	267[label="primDivNatS Zero (Succ vuy3100)",fontsize=16,color="black",shape="box"];267 -> 276[label="",style="solid", color="black", weight=3];
12.48/4.87	268[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy30000) vuy3100 (primGEqNatS (Succ vuy30000) vuy3100))",fontsize=16,color="burlywood",shape="box"];918[label="vuy3100/Succ vuy31000",fontsize=10,color="white",style="solid",shape="box"];268 -> 918[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	918 -> 277[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	919[label="vuy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];268 -> 919[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	919 -> 278[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	269[label="primMinusNat (Succ Zero) (primDivNatS0 Zero vuy3100 (primGEqNatS Zero vuy3100))",fontsize=16,color="burlywood",shape="box"];920[label="vuy3100/Succ vuy31000",fontsize=10,color="white",style="solid",shape="box"];269 -> 920[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	920 -> 279[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	921[label="vuy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];269 -> 921[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	921 -> 280[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	270[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];271[label="primPlusInt (Pos (Succ Zero)) (fromInteger (properFractionQ1 (Integer vuy300) (Integer vuy310) (Integer (primQuotInt vuy300 vuy310),Integer (primRemInt vuy300 vuy310))))",fontsize=16,color="black",shape="box"];271 -> 281[label="",style="solid", color="black", weight=3];
12.48/4.87	272 -> 196[label="",style="dashed", color="red", weight=0];
12.48/4.87	272[label="primPlusInt (Pos (Succ Zero)) (primQuotInt vuy30 vuy31)",fontsize=16,color="magenta"];272 -> 282[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	272 -> 283[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	273[label="error []",fontsize=16,color="red",shape="box"];274[label="GT",fontsize=16,color="green",shape="box"];275[label="primDivNatS0 vuy3000 vuy3100 (primGEqNatS vuy3000 vuy3100)",fontsize=16,color="burlywood",shape="box"];922[label="vuy3000/Succ vuy30000",fontsize=10,color="white",style="solid",shape="box"];275 -> 922[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	922 -> 284[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	923[label="vuy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];275 -> 923[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	923 -> 285[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	276[label="Zero",fontsize=16,color="green",shape="box"];277[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy30000) (Succ vuy31000) (primGEqNatS (Succ vuy30000) (Succ vuy31000)))",fontsize=16,color="black",shape="box"];277 -> 286[label="",style="solid", color="black", weight=3];
12.48/4.87	278[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy30000) Zero (primGEqNatS (Succ vuy30000) Zero))",fontsize=16,color="black",shape="box"];278 -> 287[label="",style="solid", color="black", weight=3];
12.48/4.87	279[label="primMinusNat (Succ Zero) (primDivNatS0 Zero (Succ vuy31000) (primGEqNatS Zero (Succ vuy31000)))",fontsize=16,color="black",shape="box"];279 -> 288[label="",style="solid", color="black", weight=3];
12.48/4.87	280[label="primMinusNat (Succ Zero) (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];280 -> 289[label="",style="solid", color="black", weight=3];
12.48/4.87	281[label="primPlusInt (Pos (Succ Zero)) (fromInteger (Integer (primQuotInt vuy300 vuy310)))",fontsize=16,color="black",shape="box"];281 -> 290[label="",style="solid", color="black", weight=3];
12.48/4.87	282[label="vuy31",fontsize=16,color="green",shape="box"];283[label="vuy30",fontsize=16,color="green",shape="box"];284[label="primDivNatS0 (Succ vuy30000) vuy3100 (primGEqNatS (Succ vuy30000) vuy3100)",fontsize=16,color="burlywood",shape="box"];924[label="vuy3100/Succ vuy31000",fontsize=10,color="white",style="solid",shape="box"];284 -> 924[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	924 -> 291[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	925[label="vuy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];284 -> 925[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	925 -> 292[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	285[label="primDivNatS0 Zero vuy3100 (primGEqNatS Zero vuy3100)",fontsize=16,color="burlywood",shape="box"];926[label="vuy3100/Succ vuy31000",fontsize=10,color="white",style="solid",shape="box"];285 -> 926[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	926 -> 293[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	927[label="vuy3100/Zero",fontsize=10,color="white",style="solid",shape="box"];285 -> 927[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	927 -> 294[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	286 -> 717[label="",style="dashed", color="red", weight=0];
12.48/4.87	286[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy30000) (Succ vuy31000) (primGEqNatS vuy30000 vuy31000))",fontsize=16,color="magenta"];286 -> 718[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	286 -> 719[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	286 -> 720[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	286 -> 721[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	287[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy30000) Zero True)",fontsize=16,color="black",shape="box"];287 -> 297[label="",style="solid", color="black", weight=3];
12.48/4.87	288[label="primMinusNat (Succ Zero) (primDivNatS0 Zero (Succ vuy31000) False)",fontsize=16,color="black",shape="box"];288 -> 298[label="",style="solid", color="black", weight=3];
12.48/4.87	289[label="primMinusNat (Succ Zero) (primDivNatS0 Zero Zero True)",fontsize=16,color="black",shape="box"];289 -> 299[label="",style="solid", color="black", weight=3];
12.48/4.87	290 -> 196[label="",style="dashed", color="red", weight=0];
12.48/4.87	290[label="primPlusInt (Pos (Succ Zero)) (primQuotInt vuy300 vuy310)",fontsize=16,color="magenta"];290 -> 300[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	290 -> 301[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	291[label="primDivNatS0 (Succ vuy30000) (Succ vuy31000) (primGEqNatS (Succ vuy30000) (Succ vuy31000))",fontsize=16,color="black",shape="box"];291 -> 302[label="",style="solid", color="black", weight=3];
12.48/4.87	292[label="primDivNatS0 (Succ vuy30000) Zero (primGEqNatS (Succ vuy30000) Zero)",fontsize=16,color="black",shape="box"];292 -> 303[label="",style="solid", color="black", weight=3];
12.48/4.87	293[label="primDivNatS0 Zero (Succ vuy31000) (primGEqNatS Zero (Succ vuy31000))",fontsize=16,color="black",shape="box"];293 -> 304[label="",style="solid", color="black", weight=3];
12.48/4.87	294[label="primDivNatS0 Zero Zero (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];294 -> 305[label="",style="solid", color="black", weight=3];
12.48/4.87	718[label="vuy31000",fontsize=16,color="green",shape="box"];719[label="vuy30000",fontsize=16,color="green",shape="box"];720[label="vuy31000",fontsize=16,color="green",shape="box"];721[label="vuy30000",fontsize=16,color="green",shape="box"];717[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS vuy41 vuy42))",fontsize=16,color="burlywood",shape="triangle"];928[label="vuy41/Succ vuy410",fontsize=10,color="white",style="solid",shape="box"];717 -> 928[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	928 -> 758[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	929[label="vuy41/Zero",fontsize=10,color="white",style="solid",shape="box"];717 -> 929[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	929 -> 759[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	297 -> 310[label="",style="dashed", color="red", weight=0];
12.48/4.87	297[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ vuy30000) Zero) (Succ Zero)))",fontsize=16,color="magenta"];297 -> 311[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	298 -> 261[label="",style="dashed", color="red", weight=0];
12.48/4.87	298[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="magenta"];299 -> 310[label="",style="dashed", color="red", weight=0];
12.48/4.87	299[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="magenta"];299 -> 312[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	300[label="vuy310",fontsize=16,color="green",shape="box"];301[label="vuy300",fontsize=16,color="green",shape="box"];302 -> 783[label="",style="dashed", color="red", weight=0];
12.48/4.87	302[label="primDivNatS0 (Succ vuy30000) (Succ vuy31000) (primGEqNatS vuy30000 vuy31000)",fontsize=16,color="magenta"];302 -> 784[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	302 -> 785[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	302 -> 786[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	302 -> 787[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	303[label="primDivNatS0 (Succ vuy30000) Zero True",fontsize=16,color="black",shape="box"];303 -> 315[label="",style="solid", color="black", weight=3];
12.48/4.87	304[label="primDivNatS0 Zero (Succ vuy31000) False",fontsize=16,color="black",shape="box"];304 -> 316[label="",style="solid", color="black", weight=3];
12.48/4.87	305[label="primDivNatS0 Zero Zero True",fontsize=16,color="black",shape="box"];305 -> 317[label="",style="solid", color="black", weight=3];
12.48/4.87	758[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS (Succ vuy410) vuy42))",fontsize=16,color="burlywood",shape="box"];930[label="vuy42/Succ vuy420",fontsize=10,color="white",style="solid",shape="box"];758 -> 930[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	930 -> 764[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	931[label="vuy42/Zero",fontsize=10,color="white",style="solid",shape="box"];758 -> 931[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	931 -> 765[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	759[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS Zero vuy42))",fontsize=16,color="burlywood",shape="box"];932[label="vuy42/Succ vuy420",fontsize=10,color="white",style="solid",shape="box"];759 -> 932[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	932 -> 766[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	933[label="vuy42/Zero",fontsize=10,color="white",style="solid",shape="box"];759 -> 933[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	933 -> 767[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	311 -> 259[label="",style="dashed", color="red", weight=0];
12.48/4.87	311[label="primDivNatS (primMinusNatS (Succ vuy30000) Zero) (Succ Zero)",fontsize=16,color="magenta"];311 -> 322[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	311 -> 323[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	310[label="primMinusNat (Succ Zero) (Succ vuy8)",fontsize=16,color="black",shape="triangle"];310 -> 324[label="",style="solid", color="black", weight=3];
12.48/4.87	312 -> 259[label="",style="dashed", color="red", weight=0];
12.48/4.87	312[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];312 -> 325[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	312 -> 326[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	784[label="vuy31000",fontsize=16,color="green",shape="box"];785[label="vuy30000",fontsize=16,color="green",shape="box"];786[label="vuy31000",fontsize=16,color="green",shape="box"];787[label="vuy30000",fontsize=16,color="green",shape="box"];783[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS vuy54 vuy55)",fontsize=16,color="burlywood",shape="triangle"];934[label="vuy54/Succ vuy540",fontsize=10,color="white",style="solid",shape="box"];783 -> 934[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	934 -> 824[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	935[label="vuy54/Zero",fontsize=10,color="white",style="solid",shape="box"];783 -> 935[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	935 -> 825[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	315[label="Succ (primDivNatS (primMinusNatS (Succ vuy30000) Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];315 -> 331[label="",style="dashed", color="green", weight=3];
12.48/4.87	316[label="Zero",fontsize=16,color="green",shape="box"];317[label="Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];317 -> 332[label="",style="dashed", color="green", weight=3];
12.48/4.87	764[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS (Succ vuy410) (Succ vuy420)))",fontsize=16,color="black",shape="box"];764 -> 771[label="",style="solid", color="black", weight=3];
12.48/4.87	765[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS (Succ vuy410) Zero))",fontsize=16,color="black",shape="box"];765 -> 772[label="",style="solid", color="black", weight=3];
12.48/4.87	766[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS Zero (Succ vuy420)))",fontsize=16,color="black",shape="box"];766 -> 773[label="",style="solid", color="black", weight=3];
12.48/4.87	767[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];767 -> 774[label="",style="solid", color="black", weight=3];
12.48/4.87	322[label="primMinusNatS (Succ vuy30000) Zero",fontsize=16,color="black",shape="triangle"];322 -> 338[label="",style="solid", color="black", weight=3];
12.48/4.87	323[label="Zero",fontsize=16,color="green",shape="box"];324[label="primMinusNat Zero vuy8",fontsize=16,color="burlywood",shape="box"];936[label="vuy8/Succ vuy80",fontsize=10,color="white",style="solid",shape="box"];324 -> 936[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	936 -> 339[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	937[label="vuy8/Zero",fontsize=10,color="white",style="solid",shape="box"];324 -> 937[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	937 -> 340[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	325[label="primMinusNatS Zero Zero",fontsize=16,color="black",shape="triangle"];325 -> 341[label="",style="solid", color="black", weight=3];
12.48/4.87	326[label="Zero",fontsize=16,color="green",shape="box"];824[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS (Succ vuy540) vuy55)",fontsize=16,color="burlywood",shape="box"];938[label="vuy55/Succ vuy550",fontsize=10,color="white",style="solid",shape="box"];824 -> 938[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	938 -> 827[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	939[label="vuy55/Zero",fontsize=10,color="white",style="solid",shape="box"];824 -> 939[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	939 -> 828[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	825[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS Zero vuy55)",fontsize=16,color="burlywood",shape="box"];940[label="vuy55/Succ vuy550",fontsize=10,color="white",style="solid",shape="box"];825 -> 940[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	940 -> 829[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	941[label="vuy55/Zero",fontsize=10,color="white",style="solid",shape="box"];825 -> 941[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	941 -> 830[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	331 -> 259[label="",style="dashed", color="red", weight=0];
12.48/4.87	331[label="primDivNatS (primMinusNatS (Succ vuy30000) Zero) (Succ Zero)",fontsize=16,color="magenta"];331 -> 346[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	331 -> 347[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	332 -> 259[label="",style="dashed", color="red", weight=0];
12.48/4.87	332[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];332 -> 348[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	332 -> 349[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	771 -> 717[label="",style="dashed", color="red", weight=0];
12.48/4.87	771[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) (primGEqNatS vuy410 vuy420))",fontsize=16,color="magenta"];771 -> 777[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	771 -> 778[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	772[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) True)",fontsize=16,color="black",shape="triangle"];772 -> 779[label="",style="solid", color="black", weight=3];
12.48/4.87	773[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) False)",fontsize=16,color="black",shape="box"];773 -> 780[label="",style="solid", color="black", weight=3];
12.48/4.87	774 -> 772[label="",style="dashed", color="red", weight=0];
12.48/4.87	774[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ vuy39) (Succ vuy40) True)",fontsize=16,color="magenta"];338[label="Succ vuy30000",fontsize=16,color="green",shape="box"];339[label="primMinusNat Zero (Succ vuy80)",fontsize=16,color="black",shape="box"];339 -> 356[label="",style="solid", color="black", weight=3];
12.48/4.87	340[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];340 -> 357[label="",style="solid", color="black", weight=3];
12.48/4.87	341[label="Zero",fontsize=16,color="green",shape="box"];827[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS (Succ vuy540) (Succ vuy550))",fontsize=16,color="black",shape="box"];827 -> 833[label="",style="solid", color="black", weight=3];
12.48/4.87	828[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS (Succ vuy540) Zero)",fontsize=16,color="black",shape="box"];828 -> 834[label="",style="solid", color="black", weight=3];
12.48/4.87	829[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS Zero (Succ vuy550))",fontsize=16,color="black",shape="box"];829 -> 835[label="",style="solid", color="black", weight=3];
12.48/4.87	830[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];830 -> 836[label="",style="solid", color="black", weight=3];
12.48/4.87	346 -> 322[label="",style="dashed", color="red", weight=0];
12.48/4.87	346[label="primMinusNatS (Succ vuy30000) Zero",fontsize=16,color="magenta"];347[label="Zero",fontsize=16,color="green",shape="box"];348 -> 325[label="",style="dashed", color="red", weight=0];
12.48/4.87	348[label="primMinusNatS Zero Zero",fontsize=16,color="magenta"];349[label="Zero",fontsize=16,color="green",shape="box"];777[label="vuy420",fontsize=16,color="green",shape="box"];778[label="vuy410",fontsize=16,color="green",shape="box"];779 -> 310[label="",style="dashed", color="red", weight=0];
12.48/4.87	779[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ vuy39) (Succ vuy40)) (Succ (Succ vuy40))))",fontsize=16,color="magenta"];779 -> 826[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	780 -> 261[label="",style="dashed", color="red", weight=0];
12.48/4.87	780[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="magenta"];356[label="Neg (Succ vuy80)",fontsize=16,color="green",shape="box"];357[label="Pos Zero",fontsize=16,color="green",shape="box"];833 -> 783[label="",style="dashed", color="red", weight=0];
12.48/4.87	833[label="primDivNatS0 (Succ vuy52) (Succ vuy53) (primGEqNatS vuy540 vuy550)",fontsize=16,color="magenta"];833 -> 838[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	833 -> 839[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	834[label="primDivNatS0 (Succ vuy52) (Succ vuy53) True",fontsize=16,color="black",shape="triangle"];834 -> 840[label="",style="solid", color="black", weight=3];
12.48/4.87	835[label="primDivNatS0 (Succ vuy52) (Succ vuy53) False",fontsize=16,color="black",shape="box"];835 -> 841[label="",style="solid", color="black", weight=3];
12.48/4.87	836 -> 834[label="",style="dashed", color="red", weight=0];
12.48/4.87	836[label="primDivNatS0 (Succ vuy52) (Succ vuy53) True",fontsize=16,color="magenta"];826 -> 259[label="",style="dashed", color="red", weight=0];
12.48/4.87	826[label="primDivNatS (primMinusNatS (Succ vuy39) (Succ vuy40)) (Succ (Succ vuy40))",fontsize=16,color="magenta"];826 -> 831[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	826 -> 832[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	838[label="vuy540",fontsize=16,color="green",shape="box"];839[label="vuy550",fontsize=16,color="green",shape="box"];840[label="Succ (primDivNatS (primMinusNatS (Succ vuy52) (Succ vuy53)) (Succ (Succ vuy53)))",fontsize=16,color="green",shape="box"];840 -> 844[label="",style="dashed", color="green", weight=3];
12.48/4.87	841[label="Zero",fontsize=16,color="green",shape="box"];831[label="primMinusNatS (Succ vuy39) (Succ vuy40)",fontsize=16,color="black",shape="box"];831 -> 837[label="",style="solid", color="black", weight=3];
12.48/4.87	832[label="Succ vuy40",fontsize=16,color="green",shape="box"];844 -> 259[label="",style="dashed", color="red", weight=0];
12.48/4.87	844[label="primDivNatS (primMinusNatS (Succ vuy52) (Succ vuy53)) (Succ (Succ vuy53))",fontsize=16,color="magenta"];844 -> 849[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	844 -> 850[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	837[label="primMinusNatS vuy39 vuy40",fontsize=16,color="burlywood",shape="triangle"];942[label="vuy39/Succ vuy390",fontsize=10,color="white",style="solid",shape="box"];837 -> 942[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	942 -> 842[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	943[label="vuy39/Zero",fontsize=10,color="white",style="solid",shape="box"];837 -> 943[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	943 -> 843[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	849 -> 837[label="",style="dashed", color="red", weight=0];
12.48/4.87	849[label="primMinusNatS (Succ vuy52) (Succ vuy53)",fontsize=16,color="magenta"];849 -> 855[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	849 -> 856[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	850[label="Succ vuy53",fontsize=16,color="green",shape="box"];842[label="primMinusNatS (Succ vuy390) vuy40",fontsize=16,color="burlywood",shape="box"];944[label="vuy40/Succ vuy400",fontsize=10,color="white",style="solid",shape="box"];842 -> 944[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	944 -> 845[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	945[label="vuy40/Zero",fontsize=10,color="white",style="solid",shape="box"];842 -> 945[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	945 -> 846[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	843[label="primMinusNatS Zero vuy40",fontsize=16,color="burlywood",shape="box"];946[label="vuy40/Succ vuy400",fontsize=10,color="white",style="solid",shape="box"];843 -> 946[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	946 -> 847[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	947[label="vuy40/Zero",fontsize=10,color="white",style="solid",shape="box"];843 -> 947[label="",style="solid", color="burlywood", weight=9];
12.48/4.87	947 -> 848[label="",style="solid", color="burlywood", weight=3];
12.48/4.87	855[label="Succ vuy53",fontsize=16,color="green",shape="box"];856[label="Succ vuy52",fontsize=16,color="green",shape="box"];845[label="primMinusNatS (Succ vuy390) (Succ vuy400)",fontsize=16,color="black",shape="box"];845 -> 851[label="",style="solid", color="black", weight=3];
12.48/4.87	846[label="primMinusNatS (Succ vuy390) Zero",fontsize=16,color="black",shape="box"];846 -> 852[label="",style="solid", color="black", weight=3];
12.48/4.87	847[label="primMinusNatS Zero (Succ vuy400)",fontsize=16,color="black",shape="box"];847 -> 853[label="",style="solid", color="black", weight=3];
12.48/4.87	848[label="primMinusNatS Zero Zero",fontsize=16,color="black",shape="box"];848 -> 854[label="",style="solid", color="black", weight=3];
12.48/4.87	851 -> 837[label="",style="dashed", color="red", weight=0];
12.48/4.87	851[label="primMinusNatS vuy390 vuy400",fontsize=16,color="magenta"];851 -> 857[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	851 -> 858[label="",style="dashed", color="magenta", weight=3];
12.48/4.87	852[label="Succ vuy390",fontsize=16,color="green",shape="box"];853[label="Zero",fontsize=16,color="green",shape="box"];854[label="Zero",fontsize=16,color="green",shape="box"];857[label="vuy400",fontsize=16,color="green",shape="box"];858[label="vuy390",fontsize=16,color="green",shape="box"];}
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(14)
12.48/4.87	Complex Obligation (AND)
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(15)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	The TRS P consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primMinusNat(vuy39, vuy40, Succ(vuy410), Succ(vuy420)) -> new_primMinusNat(vuy39, vuy40, vuy410, vuy420)
12.48/4.87	
12.48/4.87	R is empty.
12.48/4.87	Q is empty.
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(16) QDPSizeChangeProof (EQUIVALENT)
12.48/4.87	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. 
12.48/4.87	
12.48/4.87	From the DPs we obtained the following set of size-change graphs:
12.48/4.87	*new_primMinusNat(vuy39, vuy40, Succ(vuy410), Succ(vuy420)) -> new_primMinusNat(vuy39, vuy40, vuy410, vuy420)
12.48/4.87	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
12.48/4.87	
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(17)
12.48/4.87	YES
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(18)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	The TRS P consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primDivNatS(Succ(Succ(vuy30000)), Succ(vuy31000)) -> new_primDivNatS0(vuy30000, vuy31000, vuy30000, vuy31000)
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Zero, Zero) -> new_primDivNatS00(vuy52, vuy53)
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Zero) -> new_primDivNatS(new_primMinusNatS0(Succ(vuy52), Succ(vuy53)), Succ(vuy53))
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Succ(vuy550)) -> new_primDivNatS0(vuy52, vuy53, vuy540, vuy550)
12.48/4.87	   new_primDivNatS(Succ(Zero), Zero) -> new_primDivNatS(new_primMinusNatS2, Zero)
12.48/4.87	   new_primDivNatS(Succ(Succ(vuy30000)), Zero) -> new_primDivNatS(new_primMinusNatS1(vuy30000), Zero)
12.48/4.87	   new_primDivNatS00(vuy52, vuy53) -> new_primDivNatS(new_primMinusNatS0(Succ(vuy52), Succ(vuy53)), Succ(vuy53))
12.48/4.87	
12.48/4.87	The TRS R consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Succ(vuy400)) -> Zero
12.48/4.87	   new_primMinusNatS0(Zero, Zero) -> Zero
12.48/4.87	   new_primMinusNatS1(vuy30000) -> Succ(vuy30000)
12.48/4.87	   new_primMinusNatS2 -> Zero
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS0(vuy390, vuy400)
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Zero) -> Succ(vuy390)
12.48/4.87	
12.48/4.87	The set Q consists of the following terms:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Zero)
12.48/4.87	   new_primMinusNatS2
12.48/4.87	   new_primMinusNatS1(x0)
12.48/4.87	   new_primMinusNatS0(Zero, Succ(x0))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Succ(x1))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Zero)
12.48/4.87	
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(19) DependencyGraphProof (EQUIVALENT)
12.48/4.87	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 1 less node.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(20)
12.48/4.87	Complex Obligation (AND)
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(21)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	The TRS P consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primDivNatS(Succ(Succ(vuy30000)), Zero) -> new_primDivNatS(new_primMinusNatS1(vuy30000), Zero)
12.48/4.87	
12.48/4.87	The TRS R consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Succ(vuy400)) -> Zero
12.48/4.87	   new_primMinusNatS0(Zero, Zero) -> Zero
12.48/4.87	   new_primMinusNatS1(vuy30000) -> Succ(vuy30000)
12.48/4.87	   new_primMinusNatS2 -> Zero
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS0(vuy390, vuy400)
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Zero) -> Succ(vuy390)
12.48/4.87	
12.48/4.87	The set Q consists of the following terms:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Zero)
12.48/4.87	   new_primMinusNatS2
12.48/4.87	   new_primMinusNatS1(x0)
12.48/4.87	   new_primMinusNatS0(Zero, Succ(x0))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Succ(x1))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Zero)
12.48/4.87	
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(22) MRRProof (EQUIVALENT)
12.48/4.87	By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.
12.48/4.87	
12.48/4.87	Strictly oriented dependency pairs:
12.48/4.87	
12.48/4.87	   new_primDivNatS(Succ(Succ(vuy30000)), Zero) -> new_primDivNatS(new_primMinusNatS1(vuy30000), Zero)
12.48/4.87	
12.48/4.87	Strictly oriented rules of the TRS R:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Succ(vuy400)) -> Zero
12.48/4.87	   new_primMinusNatS0(Zero, Zero) -> Zero
12.48/4.87	   new_primMinusNatS1(vuy30000) -> Succ(vuy30000)
12.48/4.87	   new_primMinusNatS2 -> Zero
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS0(vuy390, vuy400)
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Zero) -> Succ(vuy390)
12.48/4.87	
12.48/4.87	Used ordering: Polynomial interpretation [POLO]:
12.48/4.87	
12.48/4.87	   POL(Succ(x_1)) = 1 + 2*x_1
12.48/4.87	   POL(Zero) = 1
12.48/4.87	   POL(new_primDivNatS(x_1, x_2)) = x_1 + x_2
12.48/4.87	   POL(new_primMinusNatS0(x_1, x_2)) = x_1 + x_2
12.48/4.87	   POL(new_primMinusNatS1(x_1)) = 2 + 2*x_1
12.48/4.87	   POL(new_primMinusNatS2) = 2
12.48/4.87	
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(23)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	P is empty.
12.48/4.87	R is empty.
12.48/4.87	The set Q consists of the following terms:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Zero)
12.48/4.87	   new_primMinusNatS2
12.48/4.87	   new_primMinusNatS1(x0)
12.48/4.87	   new_primMinusNatS0(Zero, Succ(x0))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Succ(x1))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Zero)
12.48/4.87	
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(24) PisEmptyProof (EQUIVALENT)
12.48/4.87	The TRS P is empty. Hence, there is no (P,Q,R) chain.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(25)
12.48/4.87	YES
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(26)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	The TRS P consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Zero, Zero) -> new_primDivNatS00(vuy52, vuy53)
12.48/4.87	   new_primDivNatS00(vuy52, vuy53) -> new_primDivNatS(new_primMinusNatS0(Succ(vuy52), Succ(vuy53)), Succ(vuy53))
12.48/4.87	   new_primDivNatS(Succ(Succ(vuy30000)), Succ(vuy31000)) -> new_primDivNatS0(vuy30000, vuy31000, vuy30000, vuy31000)
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Zero) -> new_primDivNatS(new_primMinusNatS0(Succ(vuy52), Succ(vuy53)), Succ(vuy53))
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Succ(vuy550)) -> new_primDivNatS0(vuy52, vuy53, vuy540, vuy550)
12.48/4.87	
12.48/4.87	The TRS R consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Succ(vuy400)) -> Zero
12.48/4.87	   new_primMinusNatS0(Zero, Zero) -> Zero
12.48/4.87	   new_primMinusNatS1(vuy30000) -> Succ(vuy30000)
12.48/4.87	   new_primMinusNatS2 -> Zero
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS0(vuy390, vuy400)
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Zero) -> Succ(vuy390)
12.48/4.87	
12.48/4.87	The set Q consists of the following terms:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Zero)
12.48/4.87	   new_primMinusNatS2
12.48/4.87	   new_primMinusNatS1(x0)
12.48/4.87	   new_primMinusNatS0(Zero, Succ(x0))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Succ(x1))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Zero)
12.48/4.87	
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(27) QDPOrderProof (EQUIVALENT)
12.48/4.87	We use the reduction pair processor [LPAR04,JAR06].
12.48/4.87	
12.48/4.87	
12.48/4.87	The following pairs can be oriented strictly and are deleted.
12.48/4.87	
12.48/4.87	   new_primDivNatS(Succ(Succ(vuy30000)), Succ(vuy31000)) -> new_primDivNatS0(vuy30000, vuy31000, vuy30000, vuy31000)
12.48/4.87	The remaining pairs can at least be oriented weakly.
12.48/4.87	Used ordering:  Polynomial interpretation [POLO]:
12.48/4.87	
12.48/4.87	   POL(Succ(x_1)) = 1 + x_1
12.48/4.87	   POL(Zero) = 1
12.48/4.87	   POL(new_primDivNatS(x_1, x_2)) = x_1
12.48/4.87	   POL(new_primDivNatS0(x_1, x_2, x_3, x_4)) = 1 + x_1
12.48/4.87	   POL(new_primDivNatS00(x_1, x_2)) = 1 + x_1
12.48/4.87	   POL(new_primMinusNatS0(x_1, x_2)) = x_1
12.48/4.87	
12.48/4.87	The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS0(vuy390, vuy400)
12.48/4.87	   new_primMinusNatS0(Zero, Succ(vuy400)) -> Zero
12.48/4.87	   new_primMinusNatS0(Zero, Zero) -> Zero
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Zero) -> Succ(vuy390)
12.48/4.87	
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(28)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	The TRS P consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Zero, Zero) -> new_primDivNatS00(vuy52, vuy53)
12.48/4.87	   new_primDivNatS00(vuy52, vuy53) -> new_primDivNatS(new_primMinusNatS0(Succ(vuy52), Succ(vuy53)), Succ(vuy53))
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Zero) -> new_primDivNatS(new_primMinusNatS0(Succ(vuy52), Succ(vuy53)), Succ(vuy53))
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Succ(vuy550)) -> new_primDivNatS0(vuy52, vuy53, vuy540, vuy550)
12.48/4.87	
12.48/4.87	The TRS R consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Succ(vuy400)) -> Zero
12.48/4.87	   new_primMinusNatS0(Zero, Zero) -> Zero
12.48/4.87	   new_primMinusNatS1(vuy30000) -> Succ(vuy30000)
12.48/4.87	   new_primMinusNatS2 -> Zero
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS0(vuy390, vuy400)
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Zero) -> Succ(vuy390)
12.48/4.87	
12.48/4.87	The set Q consists of the following terms:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Zero)
12.48/4.87	   new_primMinusNatS2
12.48/4.87	   new_primMinusNatS1(x0)
12.48/4.87	   new_primMinusNatS0(Zero, Succ(x0))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Succ(x1))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Zero)
12.48/4.87	
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(29) DependencyGraphProof (EQUIVALENT)
12.48/4.87	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(30)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	The TRS P consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Succ(vuy550)) -> new_primDivNatS0(vuy52, vuy53, vuy540, vuy550)
12.48/4.87	
12.48/4.87	The TRS R consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Succ(vuy400)) -> Zero
12.48/4.87	   new_primMinusNatS0(Zero, Zero) -> Zero
12.48/4.87	   new_primMinusNatS1(vuy30000) -> Succ(vuy30000)
12.48/4.87	   new_primMinusNatS2 -> Zero
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS0(vuy390, vuy400)
12.48/4.87	   new_primMinusNatS0(Succ(vuy390), Zero) -> Succ(vuy390)
12.48/4.87	
12.48/4.87	The set Q consists of the following terms:
12.48/4.87	
12.48/4.87	   new_primMinusNatS0(Zero, Zero)
12.48/4.87	   new_primMinusNatS2
12.48/4.87	   new_primMinusNatS1(x0)
12.48/4.87	   new_primMinusNatS0(Zero, Succ(x0))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Succ(x1))
12.48/4.87	   new_primMinusNatS0(Succ(x0), Zero)
12.48/4.87	
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(31) QDPSizeChangeProof (EQUIVALENT)
12.48/4.87	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. 
12.48/4.87	
12.48/4.87	From the DPs we obtained the following set of size-change graphs:
12.48/4.87	*new_primDivNatS0(vuy52, vuy53, Succ(vuy540), Succ(vuy550)) -> new_primDivNatS0(vuy52, vuy53, vuy540, vuy550)
12.48/4.87	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
12.48/4.87	
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(32)
12.48/4.87	YES
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(33)
12.48/4.87	Obligation:
12.48/4.87	Q DP problem:
12.48/4.87	The TRS P consists of the following rules:
12.48/4.87	
12.48/4.87	   new_primMinusNatS(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS(vuy390, vuy400)
12.48/4.87	
12.48/4.87	R is empty.
12.48/4.87	Q is empty.
12.48/4.87	We have to consider all minimal (P,Q,R)-chains.
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(34) QDPSizeChangeProof (EQUIVALENT)
12.48/4.87	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. 
12.48/4.87	
12.48/4.87	From the DPs we obtained the following set of size-change graphs:
12.48/4.87	*new_primMinusNatS(Succ(vuy390), Succ(vuy400)) -> new_primMinusNatS(vuy390, vuy400)
12.48/4.87	The graph contains the following edges 1 > 1, 2 > 2
12.48/4.87	
12.48/4.87	
12.48/4.87	----------------------------------------
12.48/4.87	
12.48/4.87	(35)
12.48/4.87	YES
12.70/4.96	EOF