10.44/5.63	YES
12.75/6.26	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
12.75/6.26	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
12.75/6.26	
12.75/6.26	
12.75/6.26	H-Termination with start terms of the given HASKELL could be proven:
12.75/6.26	
12.75/6.26	(0) HASKELL
12.75/6.26	(1) LR [EQUIVALENT, 0 ms]
12.75/6.26	(2) HASKELL
12.75/6.26	(3) IFR [EQUIVALENT, 0 ms]
12.75/6.26	(4) HASKELL
12.75/6.26	(5) BR [EQUIVALENT, 0 ms]
12.75/6.26	(6) HASKELL
12.75/6.26	(7) COR [EQUIVALENT, 0 ms]
12.75/6.26	(8) HASKELL
12.75/6.26	(9) LetRed [EQUIVALENT, 0 ms]
12.75/6.26	(10) HASKELL
12.75/6.26	(11) NumRed [SOUND, 0 ms]
12.75/6.26	(12) HASKELL
12.75/6.26	(13) Narrow [SOUND, 0 ms]
12.75/6.26	(14) AND
12.75/6.26	    (15) QDP
12.75/6.26	        (16) DependencyGraphProof [EQUIVALENT, 0 ms]
12.75/6.26	        (17) AND
12.75/6.26	            (18) QDP
12.75/6.26	                (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	                (20) YES
12.75/6.26	            (21) QDP
12.75/6.26	                (22) QDPOrderProof [EQUIVALENT, 44 ms]
12.75/6.26	                (23) QDP
12.75/6.26	                (24) DependencyGraphProof [EQUIVALENT, 0 ms]
12.75/6.26	                (25) QDP
12.75/6.26	                (26) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	                (27) YES
12.75/6.26	    (28) QDP
12.75/6.26	        (29) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	        (30) YES
12.75/6.26	    (31) QDP
12.75/6.26	        (32) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	        (33) YES
12.75/6.26	    (34) QDP
12.75/6.26	        (35) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	        (36) YES
12.75/6.26	    (37) QDP
12.75/6.26	        (38) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	        (39) YES
12.75/6.26	    (40) QDP
12.75/6.26	        (41) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	        (42) YES
12.75/6.26	    (43) QDP
12.75/6.26	        (44) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.75/6.26	        (45) YES
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(0)
12.75/6.26	Obligation:
12.75/6.26	mainModule Main 
12.75/6.26	module Main where {
12.75/6.26	import qualified Prelude;
12.75/6.26	}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(1) LR (EQUIVALENT)
12.75/6.26	Lambda Reductions:
12.75/6.26	The following Lambda expression
12.75/6.26	"\(m,_)->m"
12.75/6.26	is transformed to
12.75/6.26	"m0 (m,_) = m;
12.75/6.26	"
12.75/6.26	The following Lambda expression
12.75/6.26	"\(q,_)->q"
12.75/6.26	is transformed to
12.75/6.26	"q1 (q,_) = q;
12.75/6.26	"
12.75/6.26	The following Lambda expression
12.75/6.26	"\(_,r)->r"
12.75/6.26	is transformed to
12.75/6.26	"r0 (_,r) = r;
12.75/6.26	"
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(2)
12.75/6.26	Obligation:
12.75/6.26	mainModule Main 
12.75/6.26	module Main where {
12.75/6.26	import qualified Prelude;
12.75/6.26	}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(3) IFR (EQUIVALENT)
12.75/6.26	If Reductions:
12.75/6.26	The following If expression
12.75/6.26	"if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero"
12.75/6.26	is transformed to
12.75/6.26	"primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y));
12.75/6.26	primDivNatS0 x y False = Zero;
12.75/6.26	"
12.75/6.26	The following If expression
12.75/6.26	"if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x"
12.75/6.26	is transformed to
12.75/6.26	"primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y);
12.75/6.26	primModNatS0 x y False = Succ x;
12.75/6.26	"
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(4)
12.75/6.26	Obligation:
12.75/6.26	mainModule Main 
12.75/6.26	module Main where {
12.75/6.26	import qualified Prelude;
12.75/6.26	}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(5) BR (EQUIVALENT)
12.75/6.26	Replaced joker patterns by fresh variables and removed binding patterns.
12.75/6.26	
12.75/6.26	Binding Reductions:
12.75/6.26	The bind variable of the following binding Pattern
12.75/6.26	"frac@(Float vz wu)"
12.75/6.26	is replaced by the following term
12.75/6.26	"Float vz wu"
12.75/6.26	The bind variable of the following binding Pattern
12.75/6.26	"frac@(Double xu xv)"
12.75/6.26	is replaced by the following term
12.75/6.26	"Double xu xv"
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(6)
12.75/6.26	Obligation:
12.75/6.26	mainModule Main 
12.75/6.26	module Main where {
12.75/6.26	import qualified Prelude;
12.75/6.26	}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(7) COR (EQUIVALENT)
12.75/6.26	Cond Reductions:
12.75/6.26	The following Function with conditions
12.75/6.26	"undefined |Falseundefined;
12.75/6.26	"
12.75/6.26	is transformed to
12.75/6.26	"undefined  = undefined1;
12.75/6.26	"
12.75/6.26	"undefined0 True = undefined;
12.75/6.26	"
12.75/6.26	"undefined1  = undefined0 False;
12.75/6.26	"
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(8)
12.75/6.26	Obligation:
12.75/6.26	mainModule Main 
12.75/6.26	module Main where {
12.75/6.26	import qualified Prelude;
12.75/6.26	}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(9) LetRed (EQUIVALENT)
12.75/6.26	Let/Where Reductions:
12.75/6.26	The bindings of the following Let/Where expression
12.75/6.26	"m where {
12.75/6.26	m  = m0 vu6;
12.75/6.26	;
12.75/6.26	m0 (m,vv) = m;
12.75/6.26	;
12.75/6.26	vu6  = properFraction x;
12.75/6.26	} 
12.75/6.26	"
12.75/6.26	are unpacked to the following functions on top level
12.75/6.26	"truncateM0 xw (m,vv) = m;
12.75/6.26	"
12.75/6.26	"truncateM xw = truncateM0 xw (truncateVu6 xw);
12.75/6.26	"
12.75/6.26	"truncateVu6 xw = properFraction xw;
12.75/6.26	"
12.75/6.26	The bindings of the following Let/Where expression
12.75/6.26	"(fromIntegral q,r :% y) where {
12.75/6.26	q  = q1 vu30;
12.75/6.26	;
12.75/6.26	q1 (q,vw) = q;
12.75/6.26	;
12.75/6.26	r  = r0 vu30;
12.75/6.26	;
12.75/6.26	r0 (vx,r) = r;
12.75/6.26	;
12.75/6.26	vu30  = quotRem x y;
12.75/6.26	} 
12.75/6.26	"
12.75/6.26	are unpacked to the following functions on top level
12.75/6.26	"properFractionQ1 xx xy (q,vw) = q;
12.75/6.26	"
12.75/6.26	"properFractionR0 xx xy (vx,r) = r;
12.75/6.26	"
12.75/6.26	"properFractionVu30 xx xy = quotRem xx xy;
12.75/6.26	"
12.75/6.26	"properFractionQ xx xy = properFractionQ1 xx xy (properFractionVu30 xx xy);
12.75/6.26	"
12.75/6.26	"properFractionR xx xy = properFractionR0 xx xy (properFractionVu30 xx xy);
12.75/6.26	"
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(10)
12.75/6.26	Obligation:
12.75/6.26	mainModule Main 
12.75/6.26	module Main where {
12.75/6.26	import qualified Prelude;
12.75/6.26	}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(11) NumRed (SOUND)
12.75/6.26	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(12)
12.75/6.26	Obligation:
12.75/6.26	mainModule Main 
12.75/6.26	module Main where {
12.75/6.26	import qualified Prelude;
12.75/6.26	}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(13) Narrow (SOUND)
12.75/6.26	Haskell To QDPs
12.75/6.26	
12.75/6.26	digraph dp_graph {
12.75/6.26	node [outthreshold=100, inthreshold=100];1[label="succ",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
12.75/6.26	3[label="succ xz3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
12.75/6.26	4[label="toEnum . (Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
12.75/6.26	5[label="toEnum ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
12.75/6.26	6[label="primIntToFloat ((Pos (Succ Zero) +) . fromEnum)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
12.75/6.26	7[label="Float ((Pos (Succ Zero) +) . fromEnum) (Pos (Succ Zero))",fontsize=16,color="green",shape="box"];7 -> 8[label="",style="dashed", color="green", weight=3];
12.75/6.26	8[label="(Pos (Succ Zero) +) . fromEnum",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
12.75/6.26	9[label="Pos (Succ Zero) + fromEnum xz3",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
12.75/6.26	10[label="primPlusInt (Pos (Succ Zero)) (fromEnum xz3)",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3];
12.75/6.26	11[label="primPlusInt (Pos (Succ Zero)) (truncate xz3)",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3];
12.75/6.26	12[label="primPlusInt (Pos (Succ Zero)) (truncateM xz3)",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3];
12.75/6.26	13[label="primPlusInt (Pos (Succ Zero)) (truncateM0 xz3 (truncateVu6 xz3))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3];
12.75/6.26	14[label="primPlusInt (Pos (Succ Zero)) (truncateM0 xz3 (properFraction xz3))",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3];
12.75/6.26	15[label="primPlusInt (Pos (Succ Zero)) (truncateM0 xz3 (floatProperFractionFloat xz3))",fontsize=16,color="burlywood",shape="box"];2381[label="xz3/Float xz30 xz31",fontsize=10,color="white",style="solid",shape="box"];15 -> 2381[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2381 -> 16[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	16[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (Float xz30 xz31) (floatProperFractionFloat (Float xz30 xz31)))",fontsize=16,color="black",shape="box"];16 -> 17[label="",style="solid", color="black", weight=3];
12.75/6.26	17[label="primPlusInt (Pos (Succ Zero)) (truncateM0 (Float xz30 xz31) (fromInt (xz30 `quot` xz31),Float xz30 xz31 - fromInt (xz30 `quot` xz31)))",fontsize=16,color="black",shape="box"];17 -> 18[label="",style="solid", color="black", weight=3];
12.75/6.26	18[label="primPlusInt (Pos (Succ Zero)) (fromInt (xz30 `quot` xz31))",fontsize=16,color="black",shape="box"];18 -> 19[label="",style="solid", color="black", weight=3];
12.75/6.26	19[label="primPlusInt (Pos (Succ Zero)) (xz30 `quot` xz31)",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3];
12.75/6.26	20[label="primPlusInt (Pos (Succ Zero)) (primQuotInt xz30 xz31)",fontsize=16,color="burlywood",shape="box"];2382[label="xz30/Pos xz300",fontsize=10,color="white",style="solid",shape="box"];20 -> 2382[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2382 -> 21[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2383[label="xz30/Neg xz300",fontsize=10,color="white",style="solid",shape="box"];20 -> 2383[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2383 -> 22[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	21[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos xz300) xz31)",fontsize=16,color="burlywood",shape="box"];2384[label="xz31/Pos xz310",fontsize=10,color="white",style="solid",shape="box"];21 -> 2384[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2384 -> 23[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2385[label="xz31/Neg xz310",fontsize=10,color="white",style="solid",shape="box"];21 -> 2385[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2385 -> 24[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	22[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg xz300) xz31)",fontsize=16,color="burlywood",shape="box"];2386[label="xz31/Pos xz310",fontsize=10,color="white",style="solid",shape="box"];22 -> 2386[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2386 -> 25[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2387[label="xz31/Neg xz310",fontsize=10,color="white",style="solid",shape="box"];22 -> 2387[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2387 -> 26[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	23[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos xz300) (Pos xz310))",fontsize=16,color="burlywood",shape="box"];2388[label="xz310/Succ xz3100",fontsize=10,color="white",style="solid",shape="box"];23 -> 2388[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2388 -> 27[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2389[label="xz310/Zero",fontsize=10,color="white",style="solid",shape="box"];23 -> 2389[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2389 -> 28[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	24[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos xz300) (Neg xz310))",fontsize=16,color="burlywood",shape="box"];2390[label="xz310/Succ xz3100",fontsize=10,color="white",style="solid",shape="box"];24 -> 2390[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2390 -> 29[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2391[label="xz310/Zero",fontsize=10,color="white",style="solid",shape="box"];24 -> 2391[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2391 -> 30[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	25[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg xz300) (Pos xz310))",fontsize=16,color="burlywood",shape="box"];2392[label="xz310/Succ xz3100",fontsize=10,color="white",style="solid",shape="box"];25 -> 2392[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2392 -> 31[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2393[label="xz310/Zero",fontsize=10,color="white",style="solid",shape="box"];25 -> 2393[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2393 -> 32[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	26[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg xz300) (Neg xz310))",fontsize=16,color="burlywood",shape="box"];2394[label="xz310/Succ xz3100",fontsize=10,color="white",style="solid",shape="box"];26 -> 2394[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2394 -> 33[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2395[label="xz310/Zero",fontsize=10,color="white",style="solid",shape="box"];26 -> 2395[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2395 -> 34[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	27[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos xz300) (Pos (Succ xz3100)))",fontsize=16,color="black",shape="box"];27 -> 35[label="",style="solid", color="black", weight=3];
12.75/6.26	28[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos xz300) (Pos Zero))",fontsize=16,color="black",shape="box"];28 -> 36[label="",style="solid", color="black", weight=3];
12.75/6.26	29[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos xz300) (Neg (Succ xz3100)))",fontsize=16,color="black",shape="box"];29 -> 37[label="",style="solid", color="black", weight=3];
12.75/6.26	30[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Pos xz300) (Neg Zero))",fontsize=16,color="black",shape="box"];30 -> 38[label="",style="solid", color="black", weight=3];
12.75/6.26	31[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg xz300) (Pos (Succ xz3100)))",fontsize=16,color="black",shape="box"];31 -> 39[label="",style="solid", color="black", weight=3];
12.75/6.26	32[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg xz300) (Pos Zero))",fontsize=16,color="black",shape="box"];32 -> 40[label="",style="solid", color="black", weight=3];
12.75/6.26	33[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg xz300) (Neg (Succ xz3100)))",fontsize=16,color="black",shape="box"];33 -> 41[label="",style="solid", color="black", weight=3];
12.75/6.26	34[label="primPlusInt (Pos (Succ Zero)) (primQuotInt (Neg xz300) (Neg Zero))",fontsize=16,color="black",shape="box"];34 -> 42[label="",style="solid", color="black", weight=3];
12.75/6.26	35[label="primPlusInt (Pos (Succ Zero)) (Pos (primDivNatS xz300 (Succ xz3100)))",fontsize=16,color="black",shape="triangle"];35 -> 43[label="",style="solid", color="black", weight=3];
12.75/6.26	36[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="black",shape="triangle"];36 -> 44[label="",style="solid", color="black", weight=3];
12.75/6.26	37[label="primPlusInt (Pos (Succ Zero)) (Neg (primDivNatS xz300 (Succ xz3100)))",fontsize=16,color="black",shape="triangle"];37 -> 45[label="",style="solid", color="black", weight=3];
12.75/6.26	38 -> 36[label="",style="dashed", color="red", weight=0];
12.75/6.26	38[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="magenta"];39 -> 37[label="",style="dashed", color="red", weight=0];
12.75/6.26	39[label="primPlusInt (Pos (Succ Zero)) (Neg (primDivNatS xz300 (Succ xz3100)))",fontsize=16,color="magenta"];39 -> 46[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	39 -> 47[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	40 -> 36[label="",style="dashed", color="red", weight=0];
12.75/6.26	40[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="magenta"];41 -> 35[label="",style="dashed", color="red", weight=0];
12.75/6.26	41[label="primPlusInt (Pos (Succ Zero)) (Pos (primDivNatS xz300 (Succ xz3100)))",fontsize=16,color="magenta"];41 -> 48[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	41 -> 49[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	42 -> 36[label="",style="dashed", color="red", weight=0];
12.75/6.26	42[label="primPlusInt (Pos (Succ Zero)) (error [])",fontsize=16,color="magenta"];43[label="Pos (primPlusNat (Succ Zero) (primDivNatS xz300 (Succ xz3100)))",fontsize=16,color="green",shape="box"];43 -> 50[label="",style="dashed", color="green", weight=3];
12.75/6.26	44[label="error []",fontsize=16,color="red",shape="box"];45[label="primMinusNat (Succ Zero) (primDivNatS xz300 (Succ xz3100))",fontsize=16,color="burlywood",shape="box"];2396[label="xz300/Succ xz3000",fontsize=10,color="white",style="solid",shape="box"];45 -> 2396[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2396 -> 51[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2397[label="xz300/Zero",fontsize=10,color="white",style="solid",shape="box"];45 -> 2397[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2397 -> 52[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	46[label="xz3100",fontsize=16,color="green",shape="box"];47[label="xz300",fontsize=16,color="green",shape="box"];48[label="xz3100",fontsize=16,color="green",shape="box"];49[label="xz300",fontsize=16,color="green",shape="box"];50[label="primPlusNat (Succ Zero) (primDivNatS xz300 (Succ xz3100))",fontsize=16,color="burlywood",shape="box"];2398[label="xz300/Succ xz3000",fontsize=10,color="white",style="solid",shape="box"];50 -> 2398[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2398 -> 53[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2399[label="xz300/Zero",fontsize=10,color="white",style="solid",shape="box"];50 -> 2399[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2399 -> 54[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	51[label="primMinusNat (Succ Zero) (primDivNatS (Succ xz3000) (Succ xz3100))",fontsize=16,color="black",shape="box"];51 -> 55[label="",style="solid", color="black", weight=3];
12.75/6.26	52[label="primMinusNat (Succ Zero) (primDivNatS Zero (Succ xz3100))",fontsize=16,color="black",shape="box"];52 -> 56[label="",style="solid", color="black", weight=3];
12.75/6.26	53[label="primPlusNat (Succ Zero) (primDivNatS (Succ xz3000) (Succ xz3100))",fontsize=16,color="black",shape="box"];53 -> 57[label="",style="solid", color="black", weight=3];
12.75/6.26	54[label="primPlusNat (Succ Zero) (primDivNatS Zero (Succ xz3100))",fontsize=16,color="black",shape="box"];54 -> 58[label="",style="solid", color="black", weight=3];
12.75/6.26	55[label="primMinusNat (Succ Zero) (primDivNatS0 xz3000 xz3100 (primGEqNatS xz3000 xz3100))",fontsize=16,color="burlywood",shape="box"];2400[label="xz3000/Succ xz30000",fontsize=10,color="white",style="solid",shape="box"];55 -> 2400[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2400 -> 59[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2401[label="xz3000/Zero",fontsize=10,color="white",style="solid",shape="box"];55 -> 2401[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2401 -> 60[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	56[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="black",shape="triangle"];56 -> 61[label="",style="solid", color="black", weight=3];
12.75/6.26	57[label="primPlusNat (Succ Zero) (primDivNatS0 xz3000 xz3100 (primGEqNatS xz3000 xz3100))",fontsize=16,color="burlywood",shape="box"];2402[label="xz3000/Succ xz30000",fontsize=10,color="white",style="solid",shape="box"];57 -> 2402[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2402 -> 62[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2403[label="xz3000/Zero",fontsize=10,color="white",style="solid",shape="box"];57 -> 2403[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2403 -> 63[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	58[label="primPlusNat (Succ Zero) Zero",fontsize=16,color="black",shape="triangle"];58 -> 64[label="",style="solid", color="black", weight=3];
12.75/6.26	59[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz30000) xz3100 (primGEqNatS (Succ xz30000) xz3100))",fontsize=16,color="burlywood",shape="box"];2404[label="xz3100/Succ xz31000",fontsize=10,color="white",style="solid",shape="box"];59 -> 2404[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2404 -> 65[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2405[label="xz3100/Zero",fontsize=10,color="white",style="solid",shape="box"];59 -> 2405[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2405 -> 66[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	60[label="primMinusNat (Succ Zero) (primDivNatS0 Zero xz3100 (primGEqNatS Zero xz3100))",fontsize=16,color="burlywood",shape="box"];2406[label="xz3100/Succ xz31000",fontsize=10,color="white",style="solid",shape="box"];60 -> 2406[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2406 -> 67[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2407[label="xz3100/Zero",fontsize=10,color="white",style="solid",shape="box"];60 -> 2407[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2407 -> 68[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	61[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];62[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz30000) xz3100 (primGEqNatS (Succ xz30000) xz3100))",fontsize=16,color="burlywood",shape="box"];2408[label="xz3100/Succ xz31000",fontsize=10,color="white",style="solid",shape="box"];62 -> 2408[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2408 -> 69[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2409[label="xz3100/Zero",fontsize=10,color="white",style="solid",shape="box"];62 -> 2409[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2409 -> 70[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	63[label="primPlusNat (Succ Zero) (primDivNatS0 Zero xz3100 (primGEqNatS Zero xz3100))",fontsize=16,color="burlywood",shape="box"];2410[label="xz3100/Succ xz31000",fontsize=10,color="white",style="solid",shape="box"];63 -> 2410[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2410 -> 71[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2411[label="xz3100/Zero",fontsize=10,color="white",style="solid",shape="box"];63 -> 2411[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2411 -> 72[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	64[label="Succ Zero",fontsize=16,color="green",shape="box"];65[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz30000) (Succ xz31000) (primGEqNatS (Succ xz30000) (Succ xz31000)))",fontsize=16,color="black",shape="box"];65 -> 73[label="",style="solid", color="black", weight=3];
12.75/6.26	66[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz30000) Zero (primGEqNatS (Succ xz30000) Zero))",fontsize=16,color="black",shape="box"];66 -> 74[label="",style="solid", color="black", weight=3];
12.75/6.26	67[label="primMinusNat (Succ Zero) (primDivNatS0 Zero (Succ xz31000) (primGEqNatS Zero (Succ xz31000)))",fontsize=16,color="black",shape="box"];67 -> 75[label="",style="solid", color="black", weight=3];
12.75/6.26	68[label="primMinusNat (Succ Zero) (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];68 -> 76[label="",style="solid", color="black", weight=3];
12.75/6.26	69[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz30000) (Succ xz31000) (primGEqNatS (Succ xz30000) (Succ xz31000)))",fontsize=16,color="black",shape="box"];69 -> 77[label="",style="solid", color="black", weight=3];
12.75/6.26	70[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz30000) Zero (primGEqNatS (Succ xz30000) Zero))",fontsize=16,color="black",shape="box"];70 -> 78[label="",style="solid", color="black", weight=3];
12.75/6.26	71[label="primPlusNat (Succ Zero) (primDivNatS0 Zero (Succ xz31000) (primGEqNatS Zero (Succ xz31000)))",fontsize=16,color="black",shape="box"];71 -> 79[label="",style="solid", color="black", weight=3];
12.75/6.26	72[label="primPlusNat (Succ Zero) (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];72 -> 80[label="",style="solid", color="black", weight=3];
12.75/6.26	73 -> 684[label="",style="dashed", color="red", weight=0];
12.75/6.26	73[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz30000) (Succ xz31000) (primGEqNatS xz30000 xz31000))",fontsize=16,color="magenta"];73 -> 685[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	73 -> 686[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	73 -> 687[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	73 -> 688[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	74[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz30000) Zero True)",fontsize=16,color="black",shape="box"];74 -> 83[label="",style="solid", color="black", weight=3];
12.75/6.26	75[label="primMinusNat (Succ Zero) (primDivNatS0 Zero (Succ xz31000) False)",fontsize=16,color="black",shape="box"];75 -> 84[label="",style="solid", color="black", weight=3];
12.75/6.26	76[label="primMinusNat (Succ Zero) (primDivNatS0 Zero Zero True)",fontsize=16,color="black",shape="box"];76 -> 85[label="",style="solid", color="black", weight=3];
12.75/6.26	77 -> 727[label="",style="dashed", color="red", weight=0];
12.75/6.26	77[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz30000) (Succ xz31000) (primGEqNatS xz30000 xz31000))",fontsize=16,color="magenta"];77 -> 728[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	77 -> 729[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	77 -> 730[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	77 -> 731[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	78[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz30000) Zero True)",fontsize=16,color="black",shape="box"];78 -> 88[label="",style="solid", color="black", weight=3];
12.75/6.26	79[label="primPlusNat (Succ Zero) (primDivNatS0 Zero (Succ xz31000) False)",fontsize=16,color="black",shape="box"];79 -> 89[label="",style="solid", color="black", weight=3];
12.75/6.26	80[label="primPlusNat (Succ Zero) (primDivNatS0 Zero Zero True)",fontsize=16,color="black",shape="box"];80 -> 90[label="",style="solid", color="black", weight=3];
12.75/6.26	685[label="xz31000",fontsize=16,color="green",shape="box"];686[label="xz31000",fontsize=16,color="green",shape="box"];687[label="xz30000",fontsize=16,color="green",shape="box"];688[label="xz30000",fontsize=16,color="green",shape="box"];684[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS xz47 xz48))",fontsize=16,color="burlywood",shape="triangle"];2412[label="xz47/Succ xz470",fontsize=10,color="white",style="solid",shape="box"];684 -> 2412[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2412 -> 725[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2413[label="xz47/Zero",fontsize=10,color="white",style="solid",shape="box"];684 -> 2413[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2413 -> 726[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	83[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ xz30000) Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];83 -> 95[label="",style="solid", color="black", weight=3];
12.75/6.26	84 -> 56[label="",style="dashed", color="red", weight=0];
12.75/6.26	84[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="magenta"];85[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];85 -> 96[label="",style="solid", color="black", weight=3];
12.75/6.26	728[label="xz31000",fontsize=16,color="green",shape="box"];729[label="xz30000",fontsize=16,color="green",shape="box"];730[label="xz31000",fontsize=16,color="green",shape="box"];731[label="xz30000",fontsize=16,color="green",shape="box"];727[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS xz52 xz53))",fontsize=16,color="burlywood",shape="triangle"];2414[label="xz52/Succ xz520",fontsize=10,color="white",style="solid",shape="box"];727 -> 2414[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2414 -> 768[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2415[label="xz52/Zero",fontsize=10,color="white",style="solid",shape="box"];727 -> 2415[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2415 -> 769[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	88[label="primPlusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ xz30000) Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];88 -> 101[label="",style="solid", color="black", weight=3];
12.75/6.26	89 -> 58[label="",style="dashed", color="red", weight=0];
12.75/6.26	89[label="primPlusNat (Succ Zero) Zero",fontsize=16,color="magenta"];90[label="primPlusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];90 -> 102[label="",style="solid", color="black", weight=3];
12.75/6.26	725[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS (Succ xz470) xz48))",fontsize=16,color="burlywood",shape="box"];2416[label="xz48/Succ xz480",fontsize=10,color="white",style="solid",shape="box"];725 -> 2416[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2416 -> 770[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2417[label="xz48/Zero",fontsize=10,color="white",style="solid",shape="box"];725 -> 2417[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2417 -> 771[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	726[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS Zero xz48))",fontsize=16,color="burlywood",shape="box"];2418[label="xz48/Succ xz480",fontsize=10,color="white",style="solid",shape="box"];726 -> 2418[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2418 -> 772[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2419[label="xz48/Zero",fontsize=10,color="white",style="solid",shape="box"];726 -> 2419[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2419 -> 773[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	95 -> 1187[label="",style="dashed", color="red", weight=0];
12.75/6.26	95[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ xz30000) Zero) (Succ Zero))",fontsize=16,color="magenta"];95 -> 1188[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	95 -> 1189[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	95 -> 1190[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	96 -> 1187[label="",style="dashed", color="red", weight=0];
12.75/6.26	96[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="magenta"];96 -> 1191[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	96 -> 1192[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	96 -> 1193[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	768[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS (Succ xz520) xz53))",fontsize=16,color="burlywood",shape="box"];2420[label="xz53/Succ xz530",fontsize=10,color="white",style="solid",shape="box"];768 -> 2420[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2420 -> 774[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2421[label="xz53/Zero",fontsize=10,color="white",style="solid",shape="box"];768 -> 2421[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2421 -> 775[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	769[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS Zero xz53))",fontsize=16,color="burlywood",shape="box"];2422[label="xz53/Succ xz530",fontsize=10,color="white",style="solid",shape="box"];769 -> 2422[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2422 -> 776[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2423[label="xz53/Zero",fontsize=10,color="white",style="solid",shape="box"];769 -> 2423[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2423 -> 777[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	101[label="Succ (Succ (primPlusNat Zero (primDivNatS (primMinusNatS (Succ xz30000) Zero) (Succ Zero))))",fontsize=16,color="green",shape="box"];101 -> 113[label="",style="dashed", color="green", weight=3];
12.75/6.26	102[label="Succ (Succ (primPlusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))))",fontsize=16,color="green",shape="box"];102 -> 114[label="",style="dashed", color="green", weight=3];
12.75/6.26	770[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS (Succ xz470) (Succ xz480)))",fontsize=16,color="black",shape="box"];770 -> 778[label="",style="solid", color="black", weight=3];
12.75/6.26	771[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS (Succ xz470) Zero))",fontsize=16,color="black",shape="box"];771 -> 779[label="",style="solid", color="black", weight=3];
12.75/6.26	772[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS Zero (Succ xz480)))",fontsize=16,color="black",shape="box"];772 -> 780[label="",style="solid", color="black", weight=3];
12.75/6.26	773[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];773 -> 781[label="",style="solid", color="black", weight=3];
12.75/6.26	1188[label="Zero",fontsize=16,color="green",shape="box"];1189[label="Zero",fontsize=16,color="green",shape="box"];1190[label="Succ xz30000",fontsize=16,color="green",shape="box"];1187[label="primMinusNat Zero (primDivNatS (primMinusNatS xz57 xz58) (Succ xz59))",fontsize=16,color="burlywood",shape="triangle"];2424[label="xz57/Succ xz570",fontsize=10,color="white",style="solid",shape="box"];1187 -> 2424[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2424 -> 1221[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2425[label="xz57/Zero",fontsize=10,color="white",style="solid",shape="box"];1187 -> 2425[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2425 -> 1222[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1191[label="Zero",fontsize=16,color="green",shape="box"];1192[label="Zero",fontsize=16,color="green",shape="box"];1193[label="Zero",fontsize=16,color="green",shape="box"];774[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS (Succ xz520) (Succ xz530)))",fontsize=16,color="black",shape="box"];774 -> 782[label="",style="solid", color="black", weight=3];
12.75/6.26	775[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS (Succ xz520) Zero))",fontsize=16,color="black",shape="box"];775 -> 783[label="",style="solid", color="black", weight=3];
12.75/6.26	776[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS Zero (Succ xz530)))",fontsize=16,color="black",shape="box"];776 -> 784[label="",style="solid", color="black", weight=3];
12.75/6.26	777[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];777 -> 785[label="",style="solid", color="black", weight=3];
12.75/6.26	113 -> 1242[label="",style="dashed", color="red", weight=0];
12.75/6.26	113[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ xz30000) Zero) (Succ Zero))",fontsize=16,color="magenta"];113 -> 1243[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	113 -> 1244[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	113 -> 1245[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	114 -> 1242[label="",style="dashed", color="red", weight=0];
12.75/6.26	114[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="magenta"];114 -> 1246[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	114 -> 1247[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	114 -> 1248[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	778 -> 684[label="",style="dashed", color="red", weight=0];
12.75/6.26	778[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) (primGEqNatS xz470 xz480))",fontsize=16,color="magenta"];778 -> 786[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	778 -> 787[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	779[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) True)",fontsize=16,color="black",shape="triangle"];779 -> 788[label="",style="solid", color="black", weight=3];
12.75/6.26	780[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) False)",fontsize=16,color="black",shape="box"];780 -> 789[label="",style="solid", color="black", weight=3];
12.75/6.26	781 -> 779[label="",style="dashed", color="red", weight=0];
12.75/6.26	781[label="primMinusNat (Succ Zero) (primDivNatS0 (Succ xz45) (Succ xz46) True)",fontsize=16,color="magenta"];1221[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ xz570) xz58) (Succ xz59))",fontsize=16,color="burlywood",shape="box"];2426[label="xz58/Succ xz580",fontsize=10,color="white",style="solid",shape="box"];1221 -> 2426[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2426 -> 1238[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2427[label="xz58/Zero",fontsize=10,color="white",style="solid",shape="box"];1221 -> 2427[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2427 -> 1239[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1222[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero xz58) (Succ xz59))",fontsize=16,color="burlywood",shape="box"];2428[label="xz58/Succ xz580",fontsize=10,color="white",style="solid",shape="box"];1222 -> 2428[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2428 -> 1240[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2429[label="xz58/Zero",fontsize=10,color="white",style="solid",shape="box"];1222 -> 2429[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2429 -> 1241[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	782 -> 727[label="",style="dashed", color="red", weight=0];
12.75/6.26	782[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) (primGEqNatS xz520 xz530))",fontsize=16,color="magenta"];782 -> 790[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	782 -> 791[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	783[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) True)",fontsize=16,color="black",shape="triangle"];783 -> 792[label="",style="solid", color="black", weight=3];
12.75/6.26	784[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) False)",fontsize=16,color="black",shape="box"];784 -> 793[label="",style="solid", color="black", weight=3];
12.75/6.26	785 -> 783[label="",style="dashed", color="red", weight=0];
12.75/6.26	785[label="primPlusNat (Succ Zero) (primDivNatS0 (Succ xz50) (Succ xz51) True)",fontsize=16,color="magenta"];1243[label="Zero",fontsize=16,color="green",shape="box"];1244[label="Zero",fontsize=16,color="green",shape="box"];1245[label="Succ xz30000",fontsize=16,color="green",shape="box"];1242[label="primPlusNat Zero (primDivNatS (primMinusNatS xz61 xz62) (Succ xz63))",fontsize=16,color="burlywood",shape="triangle"];2430[label="xz61/Succ xz610",fontsize=10,color="white",style="solid",shape="box"];1242 -> 2430[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2430 -> 1276[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2431[label="xz61/Zero",fontsize=10,color="white",style="solid",shape="box"];1242 -> 2431[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2431 -> 1277[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1246[label="Zero",fontsize=16,color="green",shape="box"];1247[label="Zero",fontsize=16,color="green",shape="box"];1248[label="Zero",fontsize=16,color="green",shape="box"];786[label="xz480",fontsize=16,color="green",shape="box"];787[label="xz470",fontsize=16,color="green",shape="box"];788[label="primMinusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ xz45) (Succ xz46)) (Succ (Succ xz46))))",fontsize=16,color="black",shape="box"];788 -> 794[label="",style="solid", color="black", weight=3];
12.75/6.26	789 -> 56[label="",style="dashed", color="red", weight=0];
12.75/6.26	789[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="magenta"];1238[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ xz570) (Succ xz580)) (Succ xz59))",fontsize=16,color="black",shape="box"];1238 -> 1278[label="",style="solid", color="black", weight=3];
12.75/6.26	1239[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ xz570) Zero) (Succ xz59))",fontsize=16,color="black",shape="box"];1239 -> 1279[label="",style="solid", color="black", weight=3];
12.75/6.26	1240[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero (Succ xz580)) (Succ xz59))",fontsize=16,color="black",shape="box"];1240 -> 1280[label="",style="solid", color="black", weight=3];
12.75/6.26	1241[label="primMinusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ xz59))",fontsize=16,color="black",shape="box"];1241 -> 1281[label="",style="solid", color="black", weight=3];
12.75/6.26	790[label="xz530",fontsize=16,color="green",shape="box"];791[label="xz520",fontsize=16,color="green",shape="box"];792[label="primPlusNat (Succ Zero) (Succ (primDivNatS (primMinusNatS (Succ xz50) (Succ xz51)) (Succ (Succ xz51))))",fontsize=16,color="black",shape="box"];792 -> 795[label="",style="solid", color="black", weight=3];
12.75/6.26	793 -> 58[label="",style="dashed", color="red", weight=0];
12.75/6.26	793[label="primPlusNat (Succ Zero) Zero",fontsize=16,color="magenta"];1276[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ xz610) xz62) (Succ xz63))",fontsize=16,color="burlywood",shape="box"];2432[label="xz62/Succ xz620",fontsize=10,color="white",style="solid",shape="box"];1276 -> 2432[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2432 -> 1282[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2433[label="xz62/Zero",fontsize=10,color="white",style="solid",shape="box"];1276 -> 2433[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2433 -> 1283[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1277[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero xz62) (Succ xz63))",fontsize=16,color="burlywood",shape="box"];2434[label="xz62/Succ xz620",fontsize=10,color="white",style="solid",shape="box"];1277 -> 2434[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2434 -> 1284[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2435[label="xz62/Zero",fontsize=10,color="white",style="solid",shape="box"];1277 -> 2435[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2435 -> 1285[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	794 -> 1187[label="",style="dashed", color="red", weight=0];
12.75/6.26	794[label="primMinusNat Zero (primDivNatS (primMinusNatS (Succ xz45) (Succ xz46)) (Succ (Succ xz46)))",fontsize=16,color="magenta"];794 -> 1194[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	794 -> 1195[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	794 -> 1196[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1278 -> 1187[label="",style="dashed", color="red", weight=0];
12.75/6.26	1278[label="primMinusNat Zero (primDivNatS (primMinusNatS xz570 xz580) (Succ xz59))",fontsize=16,color="magenta"];1278 -> 1286[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1278 -> 1287[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1279[label="primMinusNat Zero (primDivNatS (Succ xz570) (Succ xz59))",fontsize=16,color="black",shape="box"];1279 -> 1288[label="",style="solid", color="black", weight=3];
12.75/6.26	1280[label="primMinusNat Zero (primDivNatS Zero (Succ xz59))",fontsize=16,color="black",shape="triangle"];1280 -> 1289[label="",style="solid", color="black", weight=3];
12.75/6.26	1281 -> 1280[label="",style="dashed", color="red", weight=0];
12.75/6.26	1281[label="primMinusNat Zero (primDivNatS Zero (Succ xz59))",fontsize=16,color="magenta"];795[label="Succ (Succ (primPlusNat Zero (primDivNatS (primMinusNatS (Succ xz50) (Succ xz51)) (Succ (Succ xz51)))))",fontsize=16,color="green",shape="box"];795 -> 797[label="",style="dashed", color="green", weight=3];
12.75/6.26	1282[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ xz610) (Succ xz620)) (Succ xz63))",fontsize=16,color="black",shape="box"];1282 -> 1290[label="",style="solid", color="black", weight=3];
12.75/6.26	1283[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ xz610) Zero) (Succ xz63))",fontsize=16,color="black",shape="box"];1283 -> 1291[label="",style="solid", color="black", weight=3];
12.75/6.26	1284[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero (Succ xz620)) (Succ xz63))",fontsize=16,color="black",shape="box"];1284 -> 1292[label="",style="solid", color="black", weight=3];
12.75/6.26	1285[label="primPlusNat Zero (primDivNatS (primMinusNatS Zero Zero) (Succ xz63))",fontsize=16,color="black",shape="box"];1285 -> 1293[label="",style="solid", color="black", weight=3];
12.75/6.26	1194[label="Succ xz46",fontsize=16,color="green",shape="box"];1195[label="Succ xz46",fontsize=16,color="green",shape="box"];1196[label="Succ xz45",fontsize=16,color="green",shape="box"];1286[label="xz580",fontsize=16,color="green",shape="box"];1287[label="xz570",fontsize=16,color="green",shape="box"];1288[label="primMinusNat Zero (primDivNatS0 xz570 xz59 (primGEqNatS xz570 xz59))",fontsize=16,color="burlywood",shape="box"];2436[label="xz570/Succ xz5700",fontsize=10,color="white",style="solid",shape="box"];1288 -> 2436[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2436 -> 1294[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2437[label="xz570/Zero",fontsize=10,color="white",style="solid",shape="box"];1288 -> 2437[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2437 -> 1295[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1289[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="triangle"];1289 -> 1296[label="",style="solid", color="black", weight=3];
12.75/6.26	797 -> 1242[label="",style="dashed", color="red", weight=0];
12.75/6.26	797[label="primPlusNat Zero (primDivNatS (primMinusNatS (Succ xz50) (Succ xz51)) (Succ (Succ xz51)))",fontsize=16,color="magenta"];797 -> 1249[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	797 -> 1250[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	797 -> 1251[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1290 -> 1242[label="",style="dashed", color="red", weight=0];
12.75/6.26	1290[label="primPlusNat Zero (primDivNatS (primMinusNatS xz610 xz620) (Succ xz63))",fontsize=16,color="magenta"];1290 -> 1297[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1290 -> 1298[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1291[label="primPlusNat Zero (primDivNatS (Succ xz610) (Succ xz63))",fontsize=16,color="black",shape="box"];1291 -> 1299[label="",style="solid", color="black", weight=3];
12.75/6.26	1292[label="primPlusNat Zero (primDivNatS Zero (Succ xz63))",fontsize=16,color="black",shape="triangle"];1292 -> 1300[label="",style="solid", color="black", weight=3];
12.75/6.26	1293 -> 1292[label="",style="dashed", color="red", weight=0];
12.75/6.26	1293[label="primPlusNat Zero (primDivNatS Zero (Succ xz63))",fontsize=16,color="magenta"];1294[label="primMinusNat Zero (primDivNatS0 (Succ xz5700) xz59 (primGEqNatS (Succ xz5700) xz59))",fontsize=16,color="burlywood",shape="box"];2438[label="xz59/Succ xz590",fontsize=10,color="white",style="solid",shape="box"];1294 -> 2438[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2438 -> 1301[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2439[label="xz59/Zero",fontsize=10,color="white",style="solid",shape="box"];1294 -> 2439[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2439 -> 1302[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1295[label="primMinusNat Zero (primDivNatS0 Zero xz59 (primGEqNatS Zero xz59))",fontsize=16,color="burlywood",shape="box"];2440[label="xz59/Succ xz590",fontsize=10,color="white",style="solid",shape="box"];1295 -> 2440[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2440 -> 1303[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2441[label="xz59/Zero",fontsize=10,color="white",style="solid",shape="box"];1295 -> 2441[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2441 -> 1304[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1296[label="Pos Zero",fontsize=16,color="green",shape="box"];1249[label="Succ xz51",fontsize=16,color="green",shape="box"];1250[label="Succ xz51",fontsize=16,color="green",shape="box"];1251[label="Succ xz50",fontsize=16,color="green",shape="box"];1297[label="xz620",fontsize=16,color="green",shape="box"];1298[label="xz610",fontsize=16,color="green",shape="box"];1299[label="primPlusNat Zero (primDivNatS0 xz610 xz63 (primGEqNatS xz610 xz63))",fontsize=16,color="burlywood",shape="box"];2442[label="xz610/Succ xz6100",fontsize=10,color="white",style="solid",shape="box"];1299 -> 2442[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2442 -> 1305[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2443[label="xz610/Zero",fontsize=10,color="white",style="solid",shape="box"];1299 -> 2443[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2443 -> 1306[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1300[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="triangle"];1300 -> 1307[label="",style="solid", color="black", weight=3];
12.75/6.26	1301[label="primMinusNat Zero (primDivNatS0 (Succ xz5700) (Succ xz590) (primGEqNatS (Succ xz5700) (Succ xz590)))",fontsize=16,color="black",shape="box"];1301 -> 1308[label="",style="solid", color="black", weight=3];
12.75/6.26	1302[label="primMinusNat Zero (primDivNatS0 (Succ xz5700) Zero (primGEqNatS (Succ xz5700) Zero))",fontsize=16,color="black",shape="box"];1302 -> 1309[label="",style="solid", color="black", weight=3];
12.75/6.26	1303[label="primMinusNat Zero (primDivNatS0 Zero (Succ xz590) (primGEqNatS Zero (Succ xz590)))",fontsize=16,color="black",shape="box"];1303 -> 1310[label="",style="solid", color="black", weight=3];
12.75/6.26	1304[label="primMinusNat Zero (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];1304 -> 1311[label="",style="solid", color="black", weight=3];
12.75/6.26	1305[label="primPlusNat Zero (primDivNatS0 (Succ xz6100) xz63 (primGEqNatS (Succ xz6100) xz63))",fontsize=16,color="burlywood",shape="box"];2444[label="xz63/Succ xz630",fontsize=10,color="white",style="solid",shape="box"];1305 -> 2444[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2444 -> 1312[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2445[label="xz63/Zero",fontsize=10,color="white",style="solid",shape="box"];1305 -> 2445[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2445 -> 1313[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1306[label="primPlusNat Zero (primDivNatS0 Zero xz63 (primGEqNatS Zero xz63))",fontsize=16,color="burlywood",shape="box"];2446[label="xz63/Succ xz630",fontsize=10,color="white",style="solid",shape="box"];1306 -> 2446[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2446 -> 1314[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2447[label="xz63/Zero",fontsize=10,color="white",style="solid",shape="box"];1306 -> 2447[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2447 -> 1315[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1307[label="Zero",fontsize=16,color="green",shape="box"];1308 -> 1871[label="",style="dashed", color="red", weight=0];
12.75/6.26	1308[label="primMinusNat Zero (primDivNatS0 (Succ xz5700) (Succ xz590) (primGEqNatS xz5700 xz590))",fontsize=16,color="magenta"];1308 -> 1872[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1308 -> 1873[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1308 -> 1874[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1308 -> 1875[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1309[label="primMinusNat Zero (primDivNatS0 (Succ xz5700) Zero True)",fontsize=16,color="black",shape="box"];1309 -> 1318[label="",style="solid", color="black", weight=3];
12.75/6.26	1310[label="primMinusNat Zero (primDivNatS0 Zero (Succ xz590) False)",fontsize=16,color="black",shape="box"];1310 -> 1319[label="",style="solid", color="black", weight=3];
12.75/6.26	1311[label="primMinusNat Zero (primDivNatS0 Zero Zero True)",fontsize=16,color="black",shape="box"];1311 -> 1320[label="",style="solid", color="black", weight=3];
12.75/6.26	1312[label="primPlusNat Zero (primDivNatS0 (Succ xz6100) (Succ xz630) (primGEqNatS (Succ xz6100) (Succ xz630)))",fontsize=16,color="black",shape="box"];1312 -> 1321[label="",style="solid", color="black", weight=3];
12.75/6.26	1313[label="primPlusNat Zero (primDivNatS0 (Succ xz6100) Zero (primGEqNatS (Succ xz6100) Zero))",fontsize=16,color="black",shape="box"];1313 -> 1322[label="",style="solid", color="black", weight=3];
12.75/6.26	1314[label="primPlusNat Zero (primDivNatS0 Zero (Succ xz630) (primGEqNatS Zero (Succ xz630)))",fontsize=16,color="black",shape="box"];1314 -> 1323[label="",style="solid", color="black", weight=3];
12.75/6.26	1315[label="primPlusNat Zero (primDivNatS0 Zero Zero (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];1315 -> 1324[label="",style="solid", color="black", weight=3];
12.75/6.26	1872[label="xz5700",fontsize=16,color="green",shape="box"];1873[label="xz590",fontsize=16,color="green",shape="box"];1874[label="xz5700",fontsize=16,color="green",shape="box"];1875[label="xz590",fontsize=16,color="green",shape="box"];1871[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS xz96 xz97))",fontsize=16,color="burlywood",shape="triangle"];2448[label="xz96/Succ xz960",fontsize=10,color="white",style="solid",shape="box"];1871 -> 2448[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2448 -> 1912[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2449[label="xz96/Zero",fontsize=10,color="white",style="solid",shape="box"];1871 -> 2449[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2449 -> 1913[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1318 -> 1677[label="",style="dashed", color="red", weight=0];
12.75/6.26	1318[label="primMinusNat Zero (Succ (primDivNatS (primMinusNatS (Succ xz5700) Zero) (Succ Zero)))",fontsize=16,color="magenta"];1318 -> 1678[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1319 -> 1289[label="",style="dashed", color="red", weight=0];
12.75/6.26	1319[label="primMinusNat Zero Zero",fontsize=16,color="magenta"];1320 -> 1677[label="",style="dashed", color="red", weight=0];
12.75/6.26	1320[label="primMinusNat Zero (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="magenta"];1320 -> 1679[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1321 -> 1976[label="",style="dashed", color="red", weight=0];
12.75/6.26	1321[label="primPlusNat Zero (primDivNatS0 (Succ xz6100) (Succ xz630) (primGEqNatS xz6100 xz630))",fontsize=16,color="magenta"];1321 -> 1977[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1321 -> 1978[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1321 -> 1979[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1321 -> 1980[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1322[label="primPlusNat Zero (primDivNatS0 (Succ xz6100) Zero True)",fontsize=16,color="black",shape="box"];1322 -> 1333[label="",style="solid", color="black", weight=3];
12.75/6.26	1323[label="primPlusNat Zero (primDivNatS0 Zero (Succ xz630) False)",fontsize=16,color="black",shape="box"];1323 -> 1334[label="",style="solid", color="black", weight=3];
12.75/6.26	1324[label="primPlusNat Zero (primDivNatS0 Zero Zero True)",fontsize=16,color="black",shape="box"];1324 -> 1335[label="",style="solid", color="black", weight=3];
12.75/6.26	1912[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS (Succ xz960) xz97))",fontsize=16,color="burlywood",shape="box"];2450[label="xz97/Succ xz970",fontsize=10,color="white",style="solid",shape="box"];1912 -> 2450[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2450 -> 1926[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2451[label="xz97/Zero",fontsize=10,color="white",style="solid",shape="box"];1912 -> 2451[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2451 -> 1927[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1913[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS Zero xz97))",fontsize=16,color="burlywood",shape="box"];2452[label="xz97/Succ xz970",fontsize=10,color="white",style="solid",shape="box"];1913 -> 2452[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2452 -> 1928[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2453[label="xz97/Zero",fontsize=10,color="white",style="solid",shape="box"];1913 -> 2453[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2453 -> 1929[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1678 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	1678[label="primDivNatS (primMinusNatS (Succ xz5700) Zero) (Succ Zero)",fontsize=16,color="magenta"];1678 -> 2097[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1678 -> 2098[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1678 -> 2099[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1677[label="primMinusNat Zero (Succ xz79)",fontsize=16,color="black",shape="triangle"];1677 -> 1693[label="",style="solid", color="black", weight=3];
12.75/6.26	1679 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	1679[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];1679 -> 2100[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1679 -> 2101[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1679 -> 2102[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1977[label="xz6100",fontsize=16,color="green",shape="box"];1978[label="xz6100",fontsize=16,color="green",shape="box"];1979[label="xz630",fontsize=16,color="green",shape="box"];1980[label="xz630",fontsize=16,color="green",shape="box"];1976[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS xz109 xz110))",fontsize=16,color="burlywood",shape="triangle"];2454[label="xz109/Succ xz1090",fontsize=10,color="white",style="solid",shape="box"];1976 -> 2454[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2454 -> 2017[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2455[label="xz109/Zero",fontsize=10,color="white",style="solid",shape="box"];1976 -> 2455[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2455 -> 2018[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1333 -> 1741[label="",style="dashed", color="red", weight=0];
12.75/6.26	1333[label="primPlusNat Zero (Succ (primDivNatS (primMinusNatS (Succ xz6100) Zero) (Succ Zero)))",fontsize=16,color="magenta"];1333 -> 1742[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1334 -> 1300[label="",style="dashed", color="red", weight=0];
12.75/6.26	1334[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];1335 -> 1741[label="",style="dashed", color="red", weight=0];
12.75/6.26	1335[label="primPlusNat Zero (Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero)))",fontsize=16,color="magenta"];1335 -> 1743[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1926[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS (Succ xz960) (Succ xz970)))",fontsize=16,color="black",shape="box"];1926 -> 1943[label="",style="solid", color="black", weight=3];
12.75/6.26	1927[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS (Succ xz960) Zero))",fontsize=16,color="black",shape="box"];1927 -> 1944[label="",style="solid", color="black", weight=3];
12.75/6.26	1928[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS Zero (Succ xz970)))",fontsize=16,color="black",shape="box"];1928 -> 1945[label="",style="solid", color="black", weight=3];
12.75/6.26	1929[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];1929 -> 1946[label="",style="solid", color="black", weight=3];
12.75/6.26	2097[label="Zero",fontsize=16,color="green",shape="box"];2098[label="Succ xz5700",fontsize=16,color="green",shape="box"];2099[label="Zero",fontsize=16,color="green",shape="box"];2096[label="primDivNatS (primMinusNatS xz115 xz116) (Succ xz117)",fontsize=16,color="burlywood",shape="triangle"];2456[label="xz115/Succ xz1150",fontsize=10,color="white",style="solid",shape="box"];2096 -> 2456[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2456 -> 2148[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2457[label="xz115/Zero",fontsize=10,color="white",style="solid",shape="box"];2096 -> 2457[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2457 -> 2149[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1693[label="Neg (Succ xz79)",fontsize=16,color="green",shape="box"];2100[label="Zero",fontsize=16,color="green",shape="box"];2101[label="Zero",fontsize=16,color="green",shape="box"];2102[label="Zero",fontsize=16,color="green",shape="box"];2017[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS (Succ xz1090) xz110))",fontsize=16,color="burlywood",shape="box"];2458[label="xz110/Succ xz1100",fontsize=10,color="white",style="solid",shape="box"];2017 -> 2458[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2458 -> 2033[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2459[label="xz110/Zero",fontsize=10,color="white",style="solid",shape="box"];2017 -> 2459[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2459 -> 2034[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2018[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS Zero xz110))",fontsize=16,color="burlywood",shape="box"];2460[label="xz110/Succ xz1100",fontsize=10,color="white",style="solid",shape="box"];2018 -> 2460[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2460 -> 2035[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2461[label="xz110/Zero",fontsize=10,color="white",style="solid",shape="box"];2018 -> 2461[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2461 -> 2036[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	1742 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	1742[label="primDivNatS (primMinusNatS (Succ xz6100) Zero) (Succ Zero)",fontsize=16,color="magenta"];1742 -> 2109[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1742 -> 2110[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1742 -> 2111[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1741[label="primPlusNat Zero (Succ xz82)",fontsize=16,color="black",shape="triangle"];1741 -> 1757[label="",style="solid", color="black", weight=3];
12.75/6.26	1743 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	1743[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];1743 -> 2112[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1743 -> 2113[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1743 -> 2114[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1943 -> 1871[label="",style="dashed", color="red", weight=0];
12.75/6.26	1943[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) (primGEqNatS xz960 xz970))",fontsize=16,color="magenta"];1943 -> 1961[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1943 -> 1962[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1944[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) True)",fontsize=16,color="black",shape="triangle"];1944 -> 1963[label="",style="solid", color="black", weight=3];
12.75/6.26	1945[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) False)",fontsize=16,color="black",shape="box"];1945 -> 1964[label="",style="solid", color="black", weight=3];
12.75/6.26	1946 -> 1944[label="",style="dashed", color="red", weight=0];
12.75/6.26	1946[label="primMinusNat Zero (primDivNatS0 (Succ xz94) (Succ xz95) True)",fontsize=16,color="magenta"];2148[label="primDivNatS (primMinusNatS (Succ xz1150) xz116) (Succ xz117)",fontsize=16,color="burlywood",shape="box"];2462[label="xz116/Succ xz1160",fontsize=10,color="white",style="solid",shape="box"];2148 -> 2462[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2462 -> 2150[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2463[label="xz116/Zero",fontsize=10,color="white",style="solid",shape="box"];2148 -> 2463[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2463 -> 2151[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2149[label="primDivNatS (primMinusNatS Zero xz116) (Succ xz117)",fontsize=16,color="burlywood",shape="box"];2464[label="xz116/Succ xz1160",fontsize=10,color="white",style="solid",shape="box"];2149 -> 2464[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2464 -> 2152[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2465[label="xz116/Zero",fontsize=10,color="white",style="solid",shape="box"];2149 -> 2465[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2465 -> 2153[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2033[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS (Succ xz1090) (Succ xz1100)))",fontsize=16,color="black",shape="box"];2033 -> 2046[label="",style="solid", color="black", weight=3];
12.75/6.26	2034[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS (Succ xz1090) Zero))",fontsize=16,color="black",shape="box"];2034 -> 2047[label="",style="solid", color="black", weight=3];
12.75/6.26	2035[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS Zero (Succ xz1100)))",fontsize=16,color="black",shape="box"];2035 -> 2048[label="",style="solid", color="black", weight=3];
12.75/6.26	2036[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS Zero Zero))",fontsize=16,color="black",shape="box"];2036 -> 2049[label="",style="solid", color="black", weight=3];
12.75/6.26	2109[label="Zero",fontsize=16,color="green",shape="box"];2110[label="Succ xz6100",fontsize=16,color="green",shape="box"];2111[label="Zero",fontsize=16,color="green",shape="box"];1757[label="Succ xz82",fontsize=16,color="green",shape="box"];2112[label="Zero",fontsize=16,color="green",shape="box"];2113[label="Zero",fontsize=16,color="green",shape="box"];2114[label="Zero",fontsize=16,color="green",shape="box"];1961[label="xz960",fontsize=16,color="green",shape="box"];1962[label="xz970",fontsize=16,color="green",shape="box"];1963 -> 1677[label="",style="dashed", color="red", weight=0];
12.75/6.26	1963[label="primMinusNat Zero (Succ (primDivNatS (primMinusNatS (Succ xz94) (Succ xz95)) (Succ (Succ xz95))))",fontsize=16,color="magenta"];1963 -> 2019[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	1964 -> 1289[label="",style="dashed", color="red", weight=0];
12.75/6.26	1964[label="primMinusNat Zero Zero",fontsize=16,color="magenta"];2150[label="primDivNatS (primMinusNatS (Succ xz1150) (Succ xz1160)) (Succ xz117)",fontsize=16,color="black",shape="box"];2150 -> 2154[label="",style="solid", color="black", weight=3];
12.75/6.26	2151[label="primDivNatS (primMinusNatS (Succ xz1150) Zero) (Succ xz117)",fontsize=16,color="black",shape="box"];2151 -> 2155[label="",style="solid", color="black", weight=3];
12.75/6.26	2152[label="primDivNatS (primMinusNatS Zero (Succ xz1160)) (Succ xz117)",fontsize=16,color="black",shape="box"];2152 -> 2156[label="",style="solid", color="black", weight=3];
12.75/6.26	2153[label="primDivNatS (primMinusNatS Zero Zero) (Succ xz117)",fontsize=16,color="black",shape="box"];2153 -> 2157[label="",style="solid", color="black", weight=3];
12.75/6.26	2046 -> 1976[label="",style="dashed", color="red", weight=0];
12.75/6.26	2046[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) (primGEqNatS xz1090 xz1100))",fontsize=16,color="magenta"];2046 -> 2056[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2046 -> 2057[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2047[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) True)",fontsize=16,color="black",shape="triangle"];2047 -> 2058[label="",style="solid", color="black", weight=3];
12.75/6.26	2048[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) False)",fontsize=16,color="black",shape="box"];2048 -> 2059[label="",style="solid", color="black", weight=3];
12.75/6.26	2049 -> 2047[label="",style="dashed", color="red", weight=0];
12.75/6.26	2049[label="primPlusNat Zero (primDivNatS0 (Succ xz107) (Succ xz108) True)",fontsize=16,color="magenta"];2019 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	2019[label="primDivNatS (primMinusNatS (Succ xz94) (Succ xz95)) (Succ (Succ xz95))",fontsize=16,color="magenta"];2019 -> 2118[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2019 -> 2119[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2019 -> 2120[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2154 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	2154[label="primDivNatS (primMinusNatS xz1150 xz1160) (Succ xz117)",fontsize=16,color="magenta"];2154 -> 2158[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2154 -> 2159[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2155[label="primDivNatS (Succ xz1150) (Succ xz117)",fontsize=16,color="black",shape="box"];2155 -> 2160[label="",style="solid", color="black", weight=3];
12.75/6.26	2156[label="primDivNatS Zero (Succ xz117)",fontsize=16,color="black",shape="triangle"];2156 -> 2161[label="",style="solid", color="black", weight=3];
12.75/6.26	2157 -> 2156[label="",style="dashed", color="red", weight=0];
12.75/6.26	2157[label="primDivNatS Zero (Succ xz117)",fontsize=16,color="magenta"];2056[label="xz1090",fontsize=16,color="green",shape="box"];2057[label="xz1100",fontsize=16,color="green",shape="box"];2058 -> 1741[label="",style="dashed", color="red", weight=0];
12.75/6.26	2058[label="primPlusNat Zero (Succ (primDivNatS (primMinusNatS (Succ xz107) (Succ xz108)) (Succ (Succ xz108))))",fontsize=16,color="magenta"];2058 -> 2070[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2059 -> 1300[label="",style="dashed", color="red", weight=0];
12.75/6.26	2059[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];2118[label="Succ xz95",fontsize=16,color="green",shape="box"];2119[label="Succ xz94",fontsize=16,color="green",shape="box"];2120[label="Succ xz95",fontsize=16,color="green",shape="box"];2158[label="xz1150",fontsize=16,color="green",shape="box"];2159[label="xz1160",fontsize=16,color="green",shape="box"];2160[label="primDivNatS0 xz1150 xz117 (primGEqNatS xz1150 xz117)",fontsize=16,color="burlywood",shape="box"];2466[label="xz1150/Succ xz11500",fontsize=10,color="white",style="solid",shape="box"];2160 -> 2466[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2466 -> 2162[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2467[label="xz1150/Zero",fontsize=10,color="white",style="solid",shape="box"];2160 -> 2467[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2467 -> 2163[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2161[label="Zero",fontsize=16,color="green",shape="box"];2070 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	2070[label="primDivNatS (primMinusNatS (Succ xz107) (Succ xz108)) (Succ (Succ xz108))",fontsize=16,color="magenta"];2070 -> 2121[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2070 -> 2122[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2070 -> 2123[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2162[label="primDivNatS0 (Succ xz11500) xz117 (primGEqNatS (Succ xz11500) xz117)",fontsize=16,color="burlywood",shape="box"];2468[label="xz117/Succ xz1170",fontsize=10,color="white",style="solid",shape="box"];2162 -> 2468[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2468 -> 2164[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2469[label="xz117/Zero",fontsize=10,color="white",style="solid",shape="box"];2162 -> 2469[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2469 -> 2165[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2163[label="primDivNatS0 Zero xz117 (primGEqNatS Zero xz117)",fontsize=16,color="burlywood",shape="box"];2470[label="xz117/Succ xz1170",fontsize=10,color="white",style="solid",shape="box"];2163 -> 2470[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2470 -> 2166[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2471[label="xz117/Zero",fontsize=10,color="white",style="solid",shape="box"];2163 -> 2471[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2471 -> 2167[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2121[label="Succ xz108",fontsize=16,color="green",shape="box"];2122[label="Succ xz107",fontsize=16,color="green",shape="box"];2123[label="Succ xz108",fontsize=16,color="green",shape="box"];2164[label="primDivNatS0 (Succ xz11500) (Succ xz1170) (primGEqNatS (Succ xz11500) (Succ xz1170))",fontsize=16,color="black",shape="box"];2164 -> 2168[label="",style="solid", color="black", weight=3];
12.75/6.26	2165[label="primDivNatS0 (Succ xz11500) Zero (primGEqNatS (Succ xz11500) Zero)",fontsize=16,color="black",shape="box"];2165 -> 2169[label="",style="solid", color="black", weight=3];
12.75/6.26	2166[label="primDivNatS0 Zero (Succ xz1170) (primGEqNatS Zero (Succ xz1170))",fontsize=16,color="black",shape="box"];2166 -> 2170[label="",style="solid", color="black", weight=3];
12.75/6.26	2167[label="primDivNatS0 Zero Zero (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];2167 -> 2171[label="",style="solid", color="black", weight=3];
12.75/6.26	2168 -> 2330[label="",style="dashed", color="red", weight=0];
12.75/6.26	2168[label="primDivNatS0 (Succ xz11500) (Succ xz1170) (primGEqNatS xz11500 xz1170)",fontsize=16,color="magenta"];2168 -> 2331[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2168 -> 2332[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2168 -> 2333[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2168 -> 2334[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2169[label="primDivNatS0 (Succ xz11500) Zero True",fontsize=16,color="black",shape="box"];2169 -> 2174[label="",style="solid", color="black", weight=3];
12.75/6.26	2170[label="primDivNatS0 Zero (Succ xz1170) False",fontsize=16,color="black",shape="box"];2170 -> 2175[label="",style="solid", color="black", weight=3];
12.75/6.26	2171[label="primDivNatS0 Zero Zero True",fontsize=16,color="black",shape="box"];2171 -> 2176[label="",style="solid", color="black", weight=3];
12.75/6.26	2331[label="xz11500",fontsize=16,color="green",shape="box"];2332[label="xz11500",fontsize=16,color="green",shape="box"];2333[label="xz1170",fontsize=16,color="green",shape="box"];2334[label="xz1170",fontsize=16,color="green",shape="box"];2330[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS xz136 xz137)",fontsize=16,color="burlywood",shape="triangle"];2472[label="xz136/Succ xz1360",fontsize=10,color="white",style="solid",shape="box"];2330 -> 2472[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2472 -> 2363[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2473[label="xz136/Zero",fontsize=10,color="white",style="solid",shape="box"];2330 -> 2473[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2473 -> 2364[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2174[label="Succ (primDivNatS (primMinusNatS (Succ xz11500) Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];2174 -> 2181[label="",style="dashed", color="green", weight=3];
12.75/6.26	2175[label="Zero",fontsize=16,color="green",shape="box"];2176[label="Succ (primDivNatS (primMinusNatS Zero Zero) (Succ Zero))",fontsize=16,color="green",shape="box"];2176 -> 2182[label="",style="dashed", color="green", weight=3];
12.75/6.26	2363[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS (Succ xz1360) xz137)",fontsize=16,color="burlywood",shape="box"];2474[label="xz137/Succ xz1370",fontsize=10,color="white",style="solid",shape="box"];2363 -> 2474[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2474 -> 2365[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2475[label="xz137/Zero",fontsize=10,color="white",style="solid",shape="box"];2363 -> 2475[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2475 -> 2366[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2364[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS Zero xz137)",fontsize=16,color="burlywood",shape="box"];2476[label="xz137/Succ xz1370",fontsize=10,color="white",style="solid",shape="box"];2364 -> 2476[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2476 -> 2367[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2477[label="xz137/Zero",fontsize=10,color="white",style="solid",shape="box"];2364 -> 2477[label="",style="solid", color="burlywood", weight=9];
12.75/6.26	2477 -> 2368[label="",style="solid", color="burlywood", weight=3];
12.75/6.26	2181 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	2181[label="primDivNatS (primMinusNatS (Succ xz11500) Zero) (Succ Zero)",fontsize=16,color="magenta"];2181 -> 2187[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2181 -> 2188[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2181 -> 2189[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2182 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	2182[label="primDivNatS (primMinusNatS Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];2182 -> 2190[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2182 -> 2191[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2182 -> 2192[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2365[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS (Succ xz1360) (Succ xz1370))",fontsize=16,color="black",shape="box"];2365 -> 2369[label="",style="solid", color="black", weight=3];
12.75/6.26	2366[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS (Succ xz1360) Zero)",fontsize=16,color="black",shape="box"];2366 -> 2370[label="",style="solid", color="black", weight=3];
12.75/6.26	2367[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS Zero (Succ xz1370))",fontsize=16,color="black",shape="box"];2367 -> 2371[label="",style="solid", color="black", weight=3];
12.75/6.26	2368[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS Zero Zero)",fontsize=16,color="black",shape="box"];2368 -> 2372[label="",style="solid", color="black", weight=3];
12.75/6.26	2187[label="Zero",fontsize=16,color="green",shape="box"];2188[label="Succ xz11500",fontsize=16,color="green",shape="box"];2189[label="Zero",fontsize=16,color="green",shape="box"];2190[label="Zero",fontsize=16,color="green",shape="box"];2191[label="Zero",fontsize=16,color="green",shape="box"];2192[label="Zero",fontsize=16,color="green",shape="box"];2369 -> 2330[label="",style="dashed", color="red", weight=0];
12.75/6.26	2369[label="primDivNatS0 (Succ xz134) (Succ xz135) (primGEqNatS xz1360 xz1370)",fontsize=16,color="magenta"];2369 -> 2373[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2369 -> 2374[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2370[label="primDivNatS0 (Succ xz134) (Succ xz135) True",fontsize=16,color="black",shape="triangle"];2370 -> 2375[label="",style="solid", color="black", weight=3];
12.75/6.26	2371[label="primDivNatS0 (Succ xz134) (Succ xz135) False",fontsize=16,color="black",shape="box"];2371 -> 2376[label="",style="solid", color="black", weight=3];
12.75/6.26	2372 -> 2370[label="",style="dashed", color="red", weight=0];
12.75/6.26	2372[label="primDivNatS0 (Succ xz134) (Succ xz135) True",fontsize=16,color="magenta"];2373[label="xz1360",fontsize=16,color="green",shape="box"];2374[label="xz1370",fontsize=16,color="green",shape="box"];2375[label="Succ (primDivNatS (primMinusNatS (Succ xz134) (Succ xz135)) (Succ (Succ xz135)))",fontsize=16,color="green",shape="box"];2375 -> 2377[label="",style="dashed", color="green", weight=3];
12.75/6.26	2376[label="Zero",fontsize=16,color="green",shape="box"];2377 -> 2096[label="",style="dashed", color="red", weight=0];
12.75/6.26	2377[label="primDivNatS (primMinusNatS (Succ xz134) (Succ xz135)) (Succ (Succ xz135))",fontsize=16,color="magenta"];2377 -> 2378[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2377 -> 2379[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2377 -> 2380[label="",style="dashed", color="magenta", weight=3];
12.75/6.26	2378[label="Succ xz135",fontsize=16,color="green",shape="box"];2379[label="Succ xz134",fontsize=16,color="green",shape="box"];2380[label="Succ xz135",fontsize=16,color="green",shape="box"];}
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(14)
12.75/6.26	Complex Obligation (AND)
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(15)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primDivNatS0(xz134, xz135, Zero, Zero) -> new_primDivNatS00(xz134, xz135)
12.75/6.26	   new_primDivNatS(Succ(Zero), Zero, Zero) -> new_primDivNatS(Zero, Zero, Zero)
12.75/6.26	   new_primDivNatS00(xz134, xz135) -> new_primDivNatS(Succ(xz134), Succ(xz135), Succ(xz135))
12.75/6.26	   new_primDivNatS(Succ(xz1150), Succ(xz1160), xz117) -> new_primDivNatS(xz1150, xz1160, xz117)
12.75/6.26	   new_primDivNatS0(xz134, xz135, Succ(xz1360), Succ(xz1370)) -> new_primDivNatS0(xz134, xz135, xz1360, xz1370)
12.75/6.26	   new_primDivNatS(Succ(Succ(xz11500)), Zero, Succ(xz1170)) -> new_primDivNatS0(xz11500, xz1170, xz11500, xz1170)
12.75/6.26	   new_primDivNatS0(xz134, xz135, Succ(xz1360), Zero) -> new_primDivNatS(Succ(xz134), Succ(xz135), Succ(xz135))
12.75/6.26	   new_primDivNatS(Succ(Succ(xz11500)), Zero, Zero) -> new_primDivNatS(Succ(xz11500), Zero, Zero)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(16) DependencyGraphProof (EQUIVALENT)
12.75/6.26	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 1 less node.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(17)
12.75/6.26	Complex Obligation (AND)
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(18)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primDivNatS(Succ(Succ(xz11500)), Zero, Zero) -> new_primDivNatS(Succ(xz11500), Zero, Zero)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(19) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primDivNatS(Succ(Succ(xz11500)), Zero, Zero) -> new_primDivNatS(Succ(xz11500), Zero, Zero)
12.75/6.26	The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 2, 2 >= 3, 3 >= 3
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(20)
12.75/6.26	YES
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(21)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primDivNatS00(xz134, xz135) -> new_primDivNatS(Succ(xz134), Succ(xz135), Succ(xz135))
12.75/6.26	   new_primDivNatS(Succ(xz1150), Succ(xz1160), xz117) -> new_primDivNatS(xz1150, xz1160, xz117)
12.75/6.26	   new_primDivNatS(Succ(Succ(xz11500)), Zero, Succ(xz1170)) -> new_primDivNatS0(xz11500, xz1170, xz11500, xz1170)
12.75/6.26	   new_primDivNatS0(xz134, xz135, Zero, Zero) -> new_primDivNatS00(xz134, xz135)
12.75/6.26	   new_primDivNatS0(xz134, xz135, Succ(xz1360), Succ(xz1370)) -> new_primDivNatS0(xz134, xz135, xz1360, xz1370)
12.75/6.26	   new_primDivNatS0(xz134, xz135, Succ(xz1360), Zero) -> new_primDivNatS(Succ(xz134), Succ(xz135), Succ(xz135))
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(22) QDPOrderProof (EQUIVALENT)
12.75/6.26	We use the reduction pair processor [LPAR04,JAR06].
12.75/6.26	
12.75/6.26	
12.75/6.26	The following pairs can be oriented strictly and are deleted.
12.75/6.26	
12.75/6.26	   new_primDivNatS(Succ(xz1150), Succ(xz1160), xz117) -> new_primDivNatS(xz1150, xz1160, xz117)
12.75/6.26	   new_primDivNatS(Succ(Succ(xz11500)), Zero, Succ(xz1170)) -> new_primDivNatS0(xz11500, xz1170, xz11500, xz1170)
12.75/6.26	The remaining pairs can at least be oriented weakly.
12.75/6.26	Used ordering:  Polynomial interpretation [POLO]:
12.75/6.26	
12.75/6.26	   POL(Succ(x_1)) = 1 + x_1
12.75/6.26	   POL(Zero) = 1
12.75/6.26	   POL(new_primDivNatS(x_1, x_2, x_3)) = x_1
12.75/6.26	   POL(new_primDivNatS0(x_1, x_2, x_3, x_4)) = 1 + x_1
12.75/6.26	   POL(new_primDivNatS00(x_1, x_2)) = 1 + x_1
12.75/6.26	
12.75/6.26	The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented:
12.75/6.26	none
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(23)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primDivNatS00(xz134, xz135) -> new_primDivNatS(Succ(xz134), Succ(xz135), Succ(xz135))
12.75/6.26	   new_primDivNatS0(xz134, xz135, Zero, Zero) -> new_primDivNatS00(xz134, xz135)
12.75/6.26	   new_primDivNatS0(xz134, xz135, Succ(xz1360), Succ(xz1370)) -> new_primDivNatS0(xz134, xz135, xz1360, xz1370)
12.75/6.26	   new_primDivNatS0(xz134, xz135, Succ(xz1360), Zero) -> new_primDivNatS(Succ(xz134), Succ(xz135), Succ(xz135))
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(24) DependencyGraphProof (EQUIVALENT)
12.75/6.26	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(25)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primDivNatS0(xz134, xz135, Succ(xz1360), Succ(xz1370)) -> new_primDivNatS0(xz134, xz135, xz1360, xz1370)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(26) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primDivNatS0(xz134, xz135, Succ(xz1360), Succ(xz1370)) -> new_primDivNatS0(xz134, xz135, xz1360, xz1370)
12.75/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(27)
12.75/6.26	YES
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(28)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primMinusNat0(Succ(xz570), Succ(xz580), xz59) -> new_primMinusNat0(xz570, xz580, xz59)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(29) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primMinusNat0(Succ(xz570), Succ(xz580), xz59) -> new_primMinusNat0(xz570, xz580, xz59)
12.75/6.26	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(30)
12.75/6.26	YES
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(31)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primPlusNat0(Succ(xz610), Succ(xz620), xz63) -> new_primPlusNat0(xz610, xz620, xz63)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(32) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primPlusNat0(Succ(xz610), Succ(xz620), xz63) -> new_primPlusNat0(xz610, xz620, xz63)
12.75/6.26	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(33)
12.75/6.26	YES
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(34)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primPlusNat1(xz50, xz51, Succ(xz520), Succ(xz530)) -> new_primPlusNat1(xz50, xz51, xz520, xz530)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(35) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primPlusNat1(xz50, xz51, Succ(xz520), Succ(xz530)) -> new_primPlusNat1(xz50, xz51, xz520, xz530)
12.75/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(36)
12.75/6.26	YES
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(37)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primMinusNat(xz94, xz95, Succ(xz960), Succ(xz970)) -> new_primMinusNat(xz94, xz95, xz960, xz970)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(38) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primMinusNat(xz94, xz95, Succ(xz960), Succ(xz970)) -> new_primMinusNat(xz94, xz95, xz960, xz970)
12.75/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(39)
12.75/6.26	YES
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(40)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primPlusNat(xz107, xz108, Succ(xz1090), Succ(xz1100)) -> new_primPlusNat(xz107, xz108, xz1090, xz1100)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(41) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primPlusNat(xz107, xz108, Succ(xz1090), Succ(xz1100)) -> new_primPlusNat(xz107, xz108, xz1090, xz1100)
12.75/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(42)
12.75/6.26	YES
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(43)
12.75/6.26	Obligation:
12.75/6.26	Q DP problem:
12.75/6.26	The TRS P consists of the following rules:
12.75/6.26	
12.75/6.26	   new_primMinusNat1(xz45, xz46, Succ(xz470), Succ(xz480)) -> new_primMinusNat1(xz45, xz46, xz470, xz480)
12.75/6.26	
12.75/6.26	R is empty.
12.75/6.26	Q is empty.
12.75/6.26	We have to consider all minimal (P,Q,R)-chains.
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(44) QDPSizeChangeProof (EQUIVALENT)
12.75/6.26	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. 
12.75/6.26	
12.75/6.26	From the DPs we obtained the following set of size-change graphs:
12.75/6.26	*new_primMinusNat1(xz45, xz46, Succ(xz470), Succ(xz480)) -> new_primMinusNat1(xz45, xz46, xz470, xz480)
12.75/6.26	The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 > 4
12.75/6.26	
12.75/6.26	
12.75/6.26	----------------------------------------
12.75/6.26	
12.75/6.26	(45)
12.75/6.26	YES
12.79/7.04	EOF