9.07/3.85	MAYBE
10.94/4.40	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.94/4.40	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.94/4.40	
10.94/4.40	
10.94/4.40	H-Termination with start terms of the given HASKELL could not be shown:
10.94/4.40	
10.94/4.40	(0) HASKELL
10.94/4.40	(1) BR [EQUIVALENT, 0 ms]
10.94/4.40	(2) HASKELL
10.94/4.40	(3) COR [EQUIVALENT, 0 ms]
10.94/4.40	(4) HASKELL
10.94/4.40	(5) NumRed [SOUND, 0 ms]
10.94/4.40	(6) HASKELL
10.94/4.40	(7) Narrow [SOUND, 0 ms]
10.94/4.40	(8) QDP
10.94/4.40	    (9) MRRProof [EQUIVALENT, 109 ms]
10.94/4.40	    (10) QDP
10.94/4.40	    (11) NonTerminationLoopProof [COMPLETE, 0 ms]
10.94/4.40	    (12) NO
10.94/4.40	(13) Narrow [COMPLETE, 0 ms]
10.94/4.40	(14) TRUE
10.94/4.40	
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(0)
10.94/4.40	Obligation:
10.94/4.40	mainModule Main 
10.94/4.40	module Main where {
10.94/4.40	import qualified Prelude;
10.94/4.40	}
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(1) BR (EQUIVALENT)
10.94/4.40	Replaced joker patterns by fresh variables and removed binding patterns.
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(2)
10.94/4.40	Obligation:
10.94/4.40	mainModule Main 
10.94/4.40	module Main where {
10.94/4.40	import qualified Prelude;
10.94/4.40	}
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(3) COR (EQUIVALENT)
10.94/4.40	Cond Reductions:
10.94/4.40	The following Function with conditions
10.94/4.40	"undefined |Falseundefined;
10.94/4.40	"
10.94/4.40	is transformed to
10.94/4.40	"undefined  = undefined1;
10.94/4.40	"
10.94/4.40	"undefined0 True = undefined;
10.94/4.40	"
10.94/4.40	"undefined1  = undefined0 False;
10.94/4.40	"
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(4)
10.94/4.40	Obligation:
10.94/4.40	mainModule Main 
10.94/4.40	module Main where {
10.94/4.40	import qualified Prelude;
10.94/4.40	}
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(5) NumRed (SOUND)
10.94/4.40	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(6)
10.94/4.40	Obligation:
10.94/4.40	mainModule Main 
10.94/4.40	module Main where {
10.94/4.40	import qualified Prelude;
10.94/4.40	}
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(7) Narrow (SOUND)
10.94/4.40	Haskell To QDPs
10.94/4.40	
10.94/4.40	digraph dp_graph {
10.94/4.40	node [outthreshold=100, inthreshold=100];1[label="enumFrom",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.94/4.40	3[label="enumFrom vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
10.94/4.40	4[label="numericEnumFrom vx3",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.94/4.40	5[label="vx3 : (numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="green",shape="box"];5 -> 6[label="",style="dashed", color="green", weight=3];
10.94/4.40	6[label="(numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
10.94/4.40	7 -> 8[label="",style="dashed", color="red", weight=0];
10.94/4.40	7[label="(vx3 + fromInt (Pos (Succ Zero)) `seq` numericEnumFrom (vx3 + fromInt (Pos (Succ Zero))))",fontsize=16,color="magenta"];7 -> 9[label="",style="dashed", color="magenta", weight=3];
10.94/4.40	9 -> 4[label="",style="dashed", color="red", weight=0];
10.94/4.40	9[label="numericEnumFrom (vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="magenta"];9 -> 10[label="",style="dashed", color="magenta", weight=3];
10.94/4.40	8[label="(vx3 + fromInt (Pos (Succ Zero)) `seq` vx4)",fontsize=16,color="black",shape="triangle"];8 -> 11[label="",style="solid", color="black", weight=3];
10.94/4.40	10[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];10 -> 12[label="",style="solid", color="black", weight=3];
10.94/4.40	11 -> 13[label="",style="dashed", color="red", weight=0];
10.94/4.40	11[label="enforceWHNF (WHNF (vx3 + fromInt (Pos (Succ Zero)))) vx4",fontsize=16,color="magenta"];11 -> 14[label="",style="dashed", color="magenta", weight=3];
10.94/4.40	12[label="primPlusInt vx3 (fromInt (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];40[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];12 -> 40[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	40 -> 15[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	41[label="vx3/Neg vx30",fontsize=10,color="white",style="solid",shape="box"];12 -> 41[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	41 -> 16[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	14 -> 10[label="",style="dashed", color="red", weight=0];
10.94/4.40	14[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];13[label="enforceWHNF (WHNF vx5) vx4",fontsize=16,color="black",shape="triangle"];13 -> 17[label="",style="solid", color="black", weight=3];
10.94/4.40	15[label="primPlusInt (Pos vx30) (fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];15 -> 18[label="",style="solid", color="black", weight=3];
10.94/4.40	16[label="primPlusInt (Neg vx30) (fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];16 -> 19[label="",style="solid", color="black", weight=3];
10.94/4.40	17[label="vx4",fontsize=16,color="green",shape="box"];18[label="primPlusInt (Pos vx30) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3];
10.94/4.40	19[label="primPlusInt (Neg vx30) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];19 -> 21[label="",style="solid", color="black", weight=3];
10.94/4.40	20[label="Pos (primPlusNat vx30 (Succ Zero))",fontsize=16,color="green",shape="box"];20 -> 22[label="",style="dashed", color="green", weight=3];
10.94/4.40	21[label="primMinusNat (Succ Zero) vx30",fontsize=16,color="burlywood",shape="box"];42[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];21 -> 42[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	42 -> 23[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	43[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];21 -> 43[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	43 -> 24[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	22[label="primPlusNat vx30 (Succ Zero)",fontsize=16,color="burlywood",shape="box"];44[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];22 -> 44[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	44 -> 25[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	45[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];22 -> 45[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	45 -> 26[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	23[label="primMinusNat (Succ Zero) (Succ vx300)",fontsize=16,color="black",shape="box"];23 -> 27[label="",style="solid", color="black", weight=3];
10.94/4.40	24[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="black",shape="box"];24 -> 28[label="",style="solid", color="black", weight=3];
10.94/4.40	25[label="primPlusNat (Succ vx300) (Succ Zero)",fontsize=16,color="black",shape="box"];25 -> 29[label="",style="solid", color="black", weight=3];
10.94/4.40	26[label="primPlusNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];26 -> 30[label="",style="solid", color="black", weight=3];
10.94/4.40	27[label="primMinusNat Zero vx300",fontsize=16,color="burlywood",shape="box"];46[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];27 -> 46[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	46 -> 31[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	47[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];27 -> 47[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	47 -> 32[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	28[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];29[label="Succ (Succ (primPlusNat vx300 Zero))",fontsize=16,color="green",shape="box"];29 -> 33[label="",style="dashed", color="green", weight=3];
10.94/4.40	30[label="Succ Zero",fontsize=16,color="green",shape="box"];31[label="primMinusNat Zero (Succ vx3000)",fontsize=16,color="black",shape="box"];31 -> 34[label="",style="solid", color="black", weight=3];
10.94/4.40	32[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];32 -> 35[label="",style="solid", color="black", weight=3];
10.94/4.40	33[label="primPlusNat vx300 Zero",fontsize=16,color="burlywood",shape="box"];48[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];33 -> 48[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	48 -> 36[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	49[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];33 -> 49[label="",style="solid", color="burlywood", weight=9];
10.94/4.40	49 -> 37[label="",style="solid", color="burlywood", weight=3];
10.94/4.40	34[label="Neg (Succ vx3000)",fontsize=16,color="green",shape="box"];35[label="Pos Zero",fontsize=16,color="green",shape="box"];36[label="primPlusNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];36 -> 38[label="",style="solid", color="black", weight=3];
10.94/4.40	37[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];37 -> 39[label="",style="solid", color="black", weight=3];
10.94/4.40	38[label="Succ vx3000",fontsize=16,color="green",shape="box"];39[label="Zero",fontsize=16,color="green",shape="box"];}
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(8)
10.94/4.40	Obligation:
10.94/4.40	Q DP problem:
10.94/4.40	The TRS P consists of the following rules:
10.94/4.40	
10.94/4.40	   new_numericEnumFrom(vx3) -> new_numericEnumFrom(new_ps(vx3))
10.94/4.40	
10.94/4.40	The TRS R consists of the following rules:
10.94/4.40	
10.94/4.40	   new_ps(Neg(Succ(Zero))) -> Pos(Zero)
10.94/4.40	   new_ps(Pos(vx30)) -> Pos(new_primPlusNat(vx30))
10.94/4.40	   new_primPlusNat(Succ(vx300)) -> Succ(Succ(new_primPlusNat0(vx300)))
10.94/4.40	   new_ps(Neg(Succ(Succ(vx3000)))) -> Neg(Succ(vx3000))
10.94/4.40	   new_primPlusNat(Zero) -> Succ(Zero)
10.94/4.40	   new_primPlusNat0(Succ(vx3000)) -> Succ(vx3000)
10.94/4.40	   new_ps(Neg(Zero)) -> Pos(Succ(Zero))
10.94/4.40	   new_primPlusNat0(Zero) -> Zero
10.94/4.40	
10.94/4.40	The set Q consists of the following terms:
10.94/4.40	
10.94/4.40	   new_primPlusNat(Succ(x0))
10.94/4.40	   new_ps(Neg(Zero))
10.94/4.40	   new_primPlusNat0(Succ(x0))
10.94/4.40	   new_ps(Neg(Succ(Succ(x0))))
10.94/4.40	   new_primPlusNat0(Zero)
10.94/4.40	   new_ps(Pos(x0))
10.94/4.40	   new_primPlusNat(Zero)
10.94/4.40	   new_ps(Neg(Succ(Zero)))
10.94/4.40	
10.94/4.40	We have to consider all minimal (P,Q,R)-chains.
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(9) MRRProof (EQUIVALENT)
10.94/4.40	By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.
10.94/4.40	
10.94/4.40	
10.94/4.40	Strictly oriented rules of the TRS R:
10.94/4.40	
10.94/4.40	   new_ps(Neg(Succ(Zero))) -> Pos(Zero)
10.94/4.40	   new_ps(Neg(Zero)) -> Pos(Succ(Zero))
10.94/4.40	
10.94/4.40	Used ordering: Polynomial interpretation [POLO]:
10.94/4.40	
10.94/4.40	   POL(Neg(x_1)) = 2 + 2*x_1
10.94/4.40	   POL(Pos(x_1)) = 2*x_1
10.94/4.40	   POL(Succ(x_1)) = x_1
10.94/4.40	   POL(Zero) = 2
10.94/4.40	   POL(new_numericEnumFrom(x_1)) = 2*x_1
10.94/4.40	   POL(new_primPlusNat(x_1)) = x_1
10.94/4.40	   POL(new_primPlusNat0(x_1)) = x_1
10.94/4.40	   POL(new_ps(x_1)) = x_1
10.94/4.40	
10.94/4.40	
10.94/4.40	----------------------------------------
10.94/4.40	
10.94/4.40	(10)
10.94/4.40	Obligation:
10.94/4.40	Q DP problem:
10.94/4.40	The TRS P consists of the following rules:
10.94/4.41	
10.94/4.41	   new_numericEnumFrom(vx3) -> new_numericEnumFrom(new_ps(vx3))
10.94/4.41	
10.94/4.41	The TRS R consists of the following rules:
10.94/4.41	
10.94/4.41	   new_ps(Pos(vx30)) -> Pos(new_primPlusNat(vx30))
10.94/4.41	   new_primPlusNat(Succ(vx300)) -> Succ(Succ(new_primPlusNat0(vx300)))
10.94/4.41	   new_ps(Neg(Succ(Succ(vx3000)))) -> Neg(Succ(vx3000))
10.94/4.41	   new_primPlusNat(Zero) -> Succ(Zero)
10.94/4.41	   new_primPlusNat0(Succ(vx3000)) -> Succ(vx3000)
10.94/4.41	   new_primPlusNat0(Zero) -> Zero
10.94/4.41	
10.94/4.41	The set Q consists of the following terms:
10.94/4.41	
10.94/4.41	   new_primPlusNat(Succ(x0))
10.94/4.41	   new_ps(Neg(Zero))
10.94/4.41	   new_primPlusNat0(Succ(x0))
10.94/4.41	   new_ps(Neg(Succ(Succ(x0))))
10.94/4.41	   new_primPlusNat0(Zero)
10.94/4.41	   new_ps(Pos(x0))
10.94/4.41	   new_primPlusNat(Zero)
10.94/4.41	   new_ps(Neg(Succ(Zero)))
10.94/4.41	
10.94/4.41	We have to consider all minimal (P,Q,R)-chains.
10.94/4.41	----------------------------------------
10.94/4.41	
10.94/4.41	(11) NonTerminationLoopProof (COMPLETE)
10.94/4.41	We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
10.94/4.41	Found a loop by semiunifying a rule from P directly.
10.94/4.41	
10.94/4.41	s = new_numericEnumFrom(vx3) evaluates to  t =new_numericEnumFrom(new_ps(vx3))
10.94/4.41	
10.94/4.41	Thus s starts an infinite chain as s semiunifies with t with the following substitutions:
10.94/4.41	* Matcher: [vx3 / new_ps(vx3)]
10.94/4.41	* Semiunifier: [ ]
10.94/4.41	
10.94/4.41	--------------------------------------------------------------------------------
10.94/4.41	Rewriting sequence
10.94/4.41	
10.94/4.41	The DP semiunifies directly so there is only one rewrite step from new_numericEnumFrom(vx3) to new_numericEnumFrom(new_ps(vx3)).
10.94/4.41	
10.94/4.41	
10.94/4.41	
10.94/4.41	
10.94/4.41	----------------------------------------
10.94/4.41	
10.94/4.41	(12)
10.94/4.41	NO
10.94/4.41	
10.94/4.41	----------------------------------------
10.94/4.41	
10.94/4.41	(13) Narrow (COMPLETE)
10.94/4.41	Haskell To QDPs
10.94/4.41	
10.94/4.41	digraph dp_graph {
10.94/4.41	node [outthreshold=100, inthreshold=100];1[label="enumFrom",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.94/4.41	3[label="enumFrom vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
10.94/4.41	4[label="numericEnumFrom vx3",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.94/4.41	5[label="vx3 : (numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="green",shape="box"];5 -> 6[label="",style="dashed", color="green", weight=3];
10.94/4.41	6[label="(numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
10.94/4.41	7 -> 8[label="",style="dashed", color="red", weight=0];
10.94/4.41	7[label="(vx3 + fromInt (Pos (Succ Zero)) `seq` numericEnumFrom (vx3 + fromInt (Pos (Succ Zero))))",fontsize=16,color="magenta"];7 -> 9[label="",style="dashed", color="magenta", weight=3];
10.94/4.41	9 -> 4[label="",style="dashed", color="red", weight=0];
10.94/4.41	9[label="numericEnumFrom (vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="magenta"];9 -> 10[label="",style="dashed", color="magenta", weight=3];
10.94/4.41	8[label="(vx3 + fromInt (Pos (Succ Zero)) `seq` vx4)",fontsize=16,color="black",shape="triangle"];8 -> 11[label="",style="solid", color="black", weight=3];
10.94/4.41	10[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];10 -> 12[label="",style="solid", color="black", weight=3];
10.94/4.41	11 -> 13[label="",style="dashed", color="red", weight=0];
10.94/4.41	11[label="enforceWHNF (WHNF (vx3 + fromInt (Pos (Succ Zero)))) vx4",fontsize=16,color="magenta"];11 -> 14[label="",style="dashed", color="magenta", weight=3];
10.94/4.41	12[label="primPlusInt vx3 (fromInt (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];40[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];12 -> 40[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	40 -> 15[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	41[label="vx3/Neg vx30",fontsize=10,color="white",style="solid",shape="box"];12 -> 41[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	41 -> 16[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	14 -> 10[label="",style="dashed", color="red", weight=0];
10.94/4.41	14[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];13[label="enforceWHNF (WHNF vx5) vx4",fontsize=16,color="black",shape="triangle"];13 -> 17[label="",style="solid", color="black", weight=3];
10.94/4.41	15[label="primPlusInt (Pos vx30) (fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];15 -> 18[label="",style="solid", color="black", weight=3];
10.94/4.41	16[label="primPlusInt (Neg vx30) (fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];16 -> 19[label="",style="solid", color="black", weight=3];
10.94/4.41	17[label="vx4",fontsize=16,color="green",shape="box"];18[label="primPlusInt (Pos vx30) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3];
10.94/4.41	19[label="primPlusInt (Neg vx30) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];19 -> 21[label="",style="solid", color="black", weight=3];
10.94/4.41	20[label="Pos (primPlusNat vx30 (Succ Zero))",fontsize=16,color="green",shape="box"];20 -> 22[label="",style="dashed", color="green", weight=3];
10.94/4.41	21[label="primMinusNat (Succ Zero) vx30",fontsize=16,color="burlywood",shape="box"];42[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];21 -> 42[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	42 -> 23[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	43[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];21 -> 43[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	43 -> 24[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	22[label="primPlusNat vx30 (Succ Zero)",fontsize=16,color="burlywood",shape="box"];44[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];22 -> 44[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	44 -> 25[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	45[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];22 -> 45[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	45 -> 26[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	23[label="primMinusNat (Succ Zero) (Succ vx300)",fontsize=16,color="black",shape="box"];23 -> 27[label="",style="solid", color="black", weight=3];
10.94/4.41	24[label="primMinusNat (Succ Zero) Zero",fontsize=16,color="black",shape="box"];24 -> 28[label="",style="solid", color="black", weight=3];
10.94/4.41	25[label="primPlusNat (Succ vx300) (Succ Zero)",fontsize=16,color="black",shape="box"];25 -> 29[label="",style="solid", color="black", weight=3];
10.94/4.41	26[label="primPlusNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];26 -> 30[label="",style="solid", color="black", weight=3];
10.94/4.41	27[label="primMinusNat Zero vx300",fontsize=16,color="burlywood",shape="box"];46[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];27 -> 46[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	46 -> 31[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	47[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];27 -> 47[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	47 -> 32[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	28[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];29[label="Succ (Succ (primPlusNat vx300 Zero))",fontsize=16,color="green",shape="box"];29 -> 33[label="",style="dashed", color="green", weight=3];
10.94/4.41	30[label="Succ Zero",fontsize=16,color="green",shape="box"];31[label="primMinusNat Zero (Succ vx3000)",fontsize=16,color="black",shape="box"];31 -> 34[label="",style="solid", color="black", weight=3];
10.94/4.41	32[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];32 -> 35[label="",style="solid", color="black", weight=3];
10.94/4.41	33[label="primPlusNat vx300 Zero",fontsize=16,color="burlywood",shape="box"];48[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];33 -> 48[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	48 -> 36[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	49[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];33 -> 49[label="",style="solid", color="burlywood", weight=9];
10.94/4.41	49 -> 37[label="",style="solid", color="burlywood", weight=3];
10.94/4.41	34[label="Neg (Succ vx3000)",fontsize=16,color="green",shape="box"];35[label="Pos Zero",fontsize=16,color="green",shape="box"];36[label="primPlusNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];36 -> 38[label="",style="solid", color="black", weight=3];
10.94/4.41	37[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];37 -> 39[label="",style="solid", color="black", weight=3];
10.94/4.41	38[label="Succ vx3000",fontsize=16,color="green",shape="box"];39[label="Zero",fontsize=16,color="green",shape="box"];}
10.94/4.41	
10.94/4.41	----------------------------------------
10.94/4.41	
10.94/4.41	(14)
10.94/4.41	TRUE
11.13/4.44	EOF