9.57/3.93	MAYBE
11.28/4.42	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
11.28/4.42	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.28/4.42	
11.28/4.42	
11.28/4.42	H-Termination with start terms of the given HASKELL could not be shown:
11.28/4.42	
11.28/4.42	(0) HASKELL
11.28/4.42	(1) BR [EQUIVALENT, 0 ms]
11.28/4.42	(2) HASKELL
11.28/4.42	(3) COR [EQUIVALENT, 0 ms]
11.28/4.42	(4) HASKELL
11.28/4.42	(5) NumRed [SOUND, 0 ms]
11.28/4.42	(6) HASKELL
11.28/4.42	(7) Narrow [SOUND, 0 ms]
11.28/4.42	(8) AND
11.28/4.42	    (9) QDP
11.28/4.42	        (10) MNOCProof [EQUIVALENT, 0 ms]
11.28/4.42	        (11) QDP
11.28/4.42	        (12) NonTerminationLoopProof [COMPLETE, 0 ms]
11.28/4.42	        (13) NO
11.28/4.42	    (14) QDP
11.28/4.42	        (15) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.28/4.42	        (16) YES
11.28/4.42	    (17) QDP
11.28/4.42	        (18) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.28/4.42	        (19) YES
11.28/4.42	    (20) QDP
11.28/4.42	        (21) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.28/4.42	        (22) YES
11.28/4.42	(23) Narrow [COMPLETE, 0 ms]
11.28/4.42	(24) TRUE
11.28/4.42	
11.28/4.42	
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(0)
11.28/4.42	Obligation:
11.28/4.42	mainModule Main 
11.28/4.42	module Main where {
11.28/4.42	import qualified Prelude;
11.28/4.42	}
11.28/4.42	
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(1) BR (EQUIVALENT)
11.28/4.42	Replaced joker patterns by fresh variables and removed binding patterns.
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(2)
11.28/4.42	Obligation:
11.28/4.42	mainModule Main 
11.28/4.42	module Main where {
11.28/4.42	import qualified Prelude;
11.28/4.42	}
11.28/4.42	
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(3) COR (EQUIVALENT)
11.28/4.42	Cond Reductions:
11.28/4.42	The following Function with conditions
11.28/4.42	"undefined |Falseundefined;
11.28/4.42	"
11.28/4.42	is transformed to
11.28/4.42	"undefined  = undefined1;
11.28/4.42	"
11.28/4.42	"undefined0 True = undefined;
11.28/4.42	"
11.28/4.42	"undefined1  = undefined0 False;
11.28/4.42	"
11.28/4.42	
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(4)
11.28/4.42	Obligation:
11.28/4.42	mainModule Main 
11.28/4.42	module Main where {
11.28/4.42	import qualified Prelude;
11.28/4.42	}
11.28/4.42	
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(5) NumRed (SOUND)
11.28/4.42	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(6)
11.28/4.42	Obligation:
11.28/4.42	mainModule Main 
11.28/4.42	module Main where {
11.28/4.42	import qualified Prelude;
11.28/4.42	}
11.28/4.42	
11.28/4.42	----------------------------------------
11.28/4.42	
11.28/4.42	(7) Narrow (SOUND)
11.28/4.42	Haskell To QDPs
11.28/4.42	
11.28/4.42	digraph dp_graph {
11.28/4.42	node [outthreshold=100, inthreshold=100];1[label="enumFrom",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
11.28/4.42	3[label="enumFrom vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
11.28/4.42	4[label="numericEnumFrom vx3",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
11.28/4.42	5[label="vx3 : (numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="green",shape="box"];5 -> 6[label="",style="dashed", color="green", weight=3];
11.28/4.42	6[label="(numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
11.28/4.42	7 -> 8[label="",style="dashed", color="red", weight=0];
11.28/4.42	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];
11.28/4.42	9 -> 4[label="",style="dashed", color="red", weight=0];
11.28/4.42	9[label="numericEnumFrom (vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="magenta"];9 -> 10[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	8[label="(vx3 + fromInt (Pos (Succ Zero)) `seq` vx4)",fontsize=16,color="black",shape="triangle"];8 -> 11[label="",style="solid", color="black", weight=3];
11.28/4.42	10[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];10 -> 12[label="",style="solid", color="black", weight=3];
11.28/4.42	11 -> 13[label="",style="dashed", color="red", weight=0];
11.28/4.42	11[label="enforceWHNF (WHNF (vx3 + fromInt (Pos (Succ Zero)))) vx4",fontsize=16,color="magenta"];11 -> 14[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	12[label="primPlusFloat vx3 (fromInt (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];147[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];12 -> 147[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	147 -> 15[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	14 -> 10[label="",style="dashed", color="red", weight=0];
11.28/4.42	14[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];13[label="enforceWHNF (WHNF vx5) vx4",fontsize=16,color="black",shape="triangle"];13 -> 16[label="",style="solid", color="black", weight=3];
11.28/4.42	15[label="primPlusFloat (Float vx30 vx31) (fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3];
11.28/4.42	16[label="vx4",fontsize=16,color="green",shape="box"];17[label="primPlusFloat (Float vx30 vx31) (primIntToFloat (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];17 -> 18[label="",style="solid", color="black", weight=3];
11.28/4.42	18[label="primPlusFloat (Float vx30 vx31) (Float (Pos (Succ Zero)) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];18 -> 19[label="",style="solid", color="black", weight=3];
11.28/4.42	19[label="Float (vx30 * Pos (Succ Zero) + Pos (Succ Zero) * vx31) (vx31 * Pos (Succ Zero))",fontsize=16,color="green",shape="box"];19 -> 20[label="",style="dashed", color="green", weight=3];
11.28/4.42	19 -> 21[label="",style="dashed", color="green", weight=3];
11.28/4.42	20[label="vx30 * Pos (Succ Zero) + Pos (Succ Zero) * vx31",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3];
11.28/4.42	21[label="vx31 * Pos (Succ Zero)",fontsize=16,color="black",shape="triangle"];21 -> 23[label="",style="solid", color="black", weight=3];
11.28/4.42	22 -> 24[label="",style="dashed", color="red", weight=0];
11.28/4.42	22[label="primPlusInt (vx30 * Pos (Succ Zero)) (Pos (Succ Zero) * vx31)",fontsize=16,color="magenta"];22 -> 25[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	23[label="primMulInt vx31 (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];148[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];23 -> 148[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	148 -> 26[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	149[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];23 -> 149[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	149 -> 27[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	25 -> 21[label="",style="dashed", color="red", weight=0];
11.28/4.42	25[label="vx30 * Pos (Succ Zero)",fontsize=16,color="magenta"];25 -> 28[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	24[label="primPlusInt vx6 (Pos (Succ Zero) * vx31)",fontsize=16,color="burlywood",shape="triangle"];150[label="vx6/Pos vx60",fontsize=10,color="white",style="solid",shape="box"];24 -> 150[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	150 -> 29[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	151[label="vx6/Neg vx60",fontsize=10,color="white",style="solid",shape="box"];24 -> 151[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	151 -> 30[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	26[label="primMulInt (Pos vx310) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];26 -> 31[label="",style="solid", color="black", weight=3];
11.28/4.42	27[label="primMulInt (Neg vx310) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];27 -> 32[label="",style="solid", color="black", weight=3];
11.28/4.42	28[label="vx30",fontsize=16,color="green",shape="box"];29[label="primPlusInt (Pos vx60) (Pos (Succ Zero) * vx31)",fontsize=16,color="black",shape="box"];29 -> 33[label="",style="solid", color="black", weight=3];
11.28/4.42	30[label="primPlusInt (Neg vx60) (Pos (Succ Zero) * vx31)",fontsize=16,color="black",shape="box"];30 -> 34[label="",style="solid", color="black", weight=3];
11.28/4.42	31[label="Pos (primMulNat vx310 (Succ Zero))",fontsize=16,color="green",shape="box"];31 -> 35[label="",style="dashed", color="green", weight=3];
11.28/4.42	32[label="Neg (primMulNat vx310 (Succ Zero))",fontsize=16,color="green",shape="box"];32 -> 36[label="",style="dashed", color="green", weight=3];
11.28/4.42	33[label="primPlusInt (Pos vx60) (primMulInt (Pos (Succ Zero)) vx31)",fontsize=16,color="burlywood",shape="box"];152[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];33 -> 152[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	152 -> 37[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	153[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];33 -> 153[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	153 -> 38[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	34[label="primPlusInt (Neg vx60) (primMulInt (Pos (Succ Zero)) vx31)",fontsize=16,color="burlywood",shape="box"];154[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];34 -> 154[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	154 -> 39[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	155[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];34 -> 155[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	155 -> 40[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	35[label="primMulNat vx310 (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];156[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];35 -> 156[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	156 -> 41[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	157[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];35 -> 157[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	157 -> 42[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	36 -> 35[label="",style="dashed", color="red", weight=0];
11.28/4.42	36[label="primMulNat vx310 (Succ Zero)",fontsize=16,color="magenta"];36 -> 43[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	37[label="primPlusInt (Pos vx60) (primMulInt (Pos (Succ Zero)) (Pos vx310))",fontsize=16,color="black",shape="box"];37 -> 44[label="",style="solid", color="black", weight=3];
11.28/4.42	38[label="primPlusInt (Pos vx60) (primMulInt (Pos (Succ Zero)) (Neg vx310))",fontsize=16,color="black",shape="box"];38 -> 45[label="",style="solid", color="black", weight=3];
11.28/4.42	39[label="primPlusInt (Neg vx60) (primMulInt (Pos (Succ Zero)) (Pos vx310))",fontsize=16,color="black",shape="box"];39 -> 46[label="",style="solid", color="black", weight=3];
11.28/4.42	40[label="primPlusInt (Neg vx60) (primMulInt (Pos (Succ Zero)) (Neg vx310))",fontsize=16,color="black",shape="box"];40 -> 47[label="",style="solid", color="black", weight=3];
11.28/4.42	41[label="primMulNat (Succ vx3100) (Succ Zero)",fontsize=16,color="black",shape="box"];41 -> 48[label="",style="solid", color="black", weight=3];
11.28/4.42	42[label="primMulNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];42 -> 49[label="",style="solid", color="black", weight=3];
11.28/4.42	43[label="vx310",fontsize=16,color="green",shape="box"];44[label="primPlusInt (Pos vx60) (Pos (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];44 -> 50[label="",style="solid", color="black", weight=3];
11.28/4.42	45[label="primPlusInt (Pos vx60) (Neg (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3];
11.28/4.42	46[label="primPlusInt (Neg vx60) (Pos (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3];
11.28/4.42	47[label="primPlusInt (Neg vx60) (Neg (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3];
11.28/4.42	48 -> 54[label="",style="dashed", color="red", weight=0];
11.28/4.42	48[label="primPlusNat (primMulNat vx3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];48 -> 55[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	49[label="Zero",fontsize=16,color="green",shape="box"];50[label="Pos (primPlusNat vx60 (primMulNat (Succ Zero) vx310))",fontsize=16,color="green",shape="box"];50 -> 56[label="",style="dashed", color="green", weight=3];
11.28/4.42	51[label="primMinusNat vx60 (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];158[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];51 -> 158[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	158 -> 57[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	159[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];51 -> 159[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	159 -> 58[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	52[label="primMinusNat (primMulNat (Succ Zero) vx310) vx60",fontsize=16,color="burlywood",shape="box"];160[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];52 -> 160[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	160 -> 59[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	161[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];52 -> 161[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	161 -> 60[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	53[label="Neg (primPlusNat vx60 (primMulNat (Succ Zero) vx310))",fontsize=16,color="green",shape="box"];53 -> 61[label="",style="dashed", color="green", weight=3];
11.28/4.42	55 -> 35[label="",style="dashed", color="red", weight=0];
11.28/4.42	55[label="primMulNat vx3100 (Succ Zero)",fontsize=16,color="magenta"];55 -> 62[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	54[label="primPlusNat vx7 (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];162[label="vx7/Succ vx70",fontsize=10,color="white",style="solid",shape="box"];54 -> 162[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	162 -> 63[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	163[label="vx7/Zero",fontsize=10,color="white",style="solid",shape="box"];54 -> 163[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	163 -> 64[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	56[label="primPlusNat vx60 (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="triangle"];164[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];56 -> 164[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	164 -> 65[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	165[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];56 -> 165[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	165 -> 66[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	57[label="primMinusNat (Succ vx600) (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];166[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];57 -> 166[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	166 -> 67[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	167[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];57 -> 167[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	167 -> 68[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	58[label="primMinusNat Zero (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];168[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];58 -> 168[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	168 -> 69[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	169[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];58 -> 169[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	169 -> 70[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	59[label="primMinusNat (primMulNat (Succ Zero) (Succ vx3100)) vx60",fontsize=16,color="black",shape="box"];59 -> 71[label="",style="solid", color="black", weight=3];
11.28/4.42	60[label="primMinusNat (primMulNat (Succ Zero) Zero) vx60",fontsize=16,color="black",shape="box"];60 -> 72[label="",style="solid", color="black", weight=3];
11.28/4.42	61 -> 56[label="",style="dashed", color="red", weight=0];
11.28/4.42	61[label="primPlusNat vx60 (primMulNat (Succ Zero) vx310)",fontsize=16,color="magenta"];61 -> 73[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	61 -> 74[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	62[label="vx3100",fontsize=16,color="green",shape="box"];63[label="primPlusNat (Succ vx70) (Succ Zero)",fontsize=16,color="black",shape="box"];63 -> 75[label="",style="solid", color="black", weight=3];
11.28/4.42	64[label="primPlusNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];64 -> 76[label="",style="solid", color="black", weight=3];
11.28/4.42	65[label="primPlusNat (Succ vx600) (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];170[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];65 -> 170[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	170 -> 77[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	171[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];65 -> 171[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	171 -> 78[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	66[label="primPlusNat Zero (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];172[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];66 -> 172[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	172 -> 79[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	173[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];66 -> 173[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	173 -> 80[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	67[label="primMinusNat (Succ vx600) (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];67 -> 81[label="",style="solid", color="black", weight=3];
11.28/4.42	68[label="primMinusNat (Succ vx600) (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];68 -> 82[label="",style="solid", color="black", weight=3];
11.28/4.42	69[label="primMinusNat Zero (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];69 -> 83[label="",style="solid", color="black", weight=3];
11.28/4.42	70[label="primMinusNat Zero (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];70 -> 84[label="",style="solid", color="black", weight=3];
11.28/4.42	71[label="primMinusNat (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100)) vx60",fontsize=16,color="black",shape="box"];71 -> 85[label="",style="solid", color="black", weight=3];
11.28/4.42	72[label="primMinusNat Zero vx60",fontsize=16,color="burlywood",shape="triangle"];174[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];72 -> 174[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	174 -> 86[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	175[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];72 -> 175[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	175 -> 87[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	73[label="vx60",fontsize=16,color="green",shape="box"];74[label="vx310",fontsize=16,color="green",shape="box"];75[label="Succ (Succ (primPlusNat vx70 Zero))",fontsize=16,color="green",shape="box"];75 -> 88[label="",style="dashed", color="green", weight=3];
11.28/4.42	76[label="Succ Zero",fontsize=16,color="green",shape="box"];77[label="primPlusNat (Succ vx600) (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];77 -> 89[label="",style="solid", color="black", weight=3];
11.28/4.42	78[label="primPlusNat (Succ vx600) (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];78 -> 90[label="",style="solid", color="black", weight=3];
11.28/4.42	79[label="primPlusNat Zero (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];79 -> 91[label="",style="solid", color="black", weight=3];
11.28/4.42	80[label="primPlusNat Zero (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];80 -> 92[label="",style="solid", color="black", weight=3];
11.28/4.42	81[label="primMinusNat (Succ vx600) (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="black",shape="box"];81 -> 93[label="",style="solid", color="black", weight=3];
11.28/4.42	82[label="primMinusNat (Succ vx600) Zero",fontsize=16,color="black",shape="box"];82 -> 94[label="",style="solid", color="black", weight=3];
11.28/4.42	83 -> 72[label="",style="dashed", color="red", weight=0];
11.28/4.42	83[label="primMinusNat Zero (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="magenta"];83 -> 95[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	84 -> 72[label="",style="dashed", color="red", weight=0];
11.28/4.42	84[label="primMinusNat Zero Zero",fontsize=16,color="magenta"];84 -> 96[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	85[label="primMinusNat (primPlusNat Zero (Succ vx3100)) vx60",fontsize=16,color="black",shape="box"];85 -> 97[label="",style="solid", color="black", weight=3];
11.28/4.42	86[label="primMinusNat Zero (Succ vx600)",fontsize=16,color="black",shape="box"];86 -> 98[label="",style="solid", color="black", weight=3];
11.28/4.42	87[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];87 -> 99[label="",style="solid", color="black", weight=3];
11.28/4.42	88[label="primPlusNat vx70 Zero",fontsize=16,color="burlywood",shape="triangle"];176[label="vx70/Succ vx700",fontsize=10,color="white",style="solid",shape="box"];88 -> 176[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	176 -> 100[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	177[label="vx70/Zero",fontsize=10,color="white",style="solid",shape="box"];88 -> 177[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	177 -> 101[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	89[label="primPlusNat (Succ vx600) (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="black",shape="box"];89 -> 102[label="",style="solid", color="black", weight=3];
11.28/4.42	90 -> 88[label="",style="dashed", color="red", weight=0];
11.28/4.42	90[label="primPlusNat (Succ vx600) Zero",fontsize=16,color="magenta"];90 -> 103[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	91[label="primPlusNat Zero (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="black",shape="box"];91 -> 104[label="",style="solid", color="black", weight=3];
11.28/4.42	92 -> 88[label="",style="dashed", color="red", weight=0];
11.28/4.42	92[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];92 -> 105[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	93[label="primMinusNat (Succ vx600) (primPlusNat Zero (Succ vx3100))",fontsize=16,color="black",shape="box"];93 -> 106[label="",style="solid", color="black", weight=3];
11.28/4.42	94[label="Pos (Succ vx600)",fontsize=16,color="green",shape="box"];95[label="primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100)",fontsize=16,color="black",shape="box"];95 -> 107[label="",style="solid", color="black", weight=3];
11.28/4.42	96[label="Zero",fontsize=16,color="green",shape="box"];97[label="primMinusNat (Succ vx3100) vx60",fontsize=16,color="burlywood",shape="triangle"];178[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];97 -> 178[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	178 -> 108[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	179[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];97 -> 179[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	179 -> 109[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	98[label="Neg (Succ vx600)",fontsize=16,color="green",shape="box"];99[label="Pos Zero",fontsize=16,color="green",shape="box"];100[label="primPlusNat (Succ vx700) Zero",fontsize=16,color="black",shape="box"];100 -> 110[label="",style="solid", color="black", weight=3];
11.28/4.42	101[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];101 -> 111[label="",style="solid", color="black", weight=3];
11.28/4.42	102[label="primPlusNat (Succ vx600) (primPlusNat Zero (Succ vx3100))",fontsize=16,color="black",shape="box"];102 -> 112[label="",style="solid", color="black", weight=3];
11.28/4.42	103[label="Succ vx600",fontsize=16,color="green",shape="box"];104[label="primPlusNat Zero (primPlusNat Zero (Succ vx3100))",fontsize=16,color="black",shape="box"];104 -> 113[label="",style="solid", color="black", weight=3];
11.28/4.42	105[label="Zero",fontsize=16,color="green",shape="box"];106 -> 97[label="",style="dashed", color="red", weight=0];
11.28/4.42	106[label="primMinusNat (Succ vx600) (Succ vx3100)",fontsize=16,color="magenta"];106 -> 114[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	106 -> 115[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	107[label="primPlusNat Zero (Succ vx3100)",fontsize=16,color="black",shape="triangle"];107 -> 116[label="",style="solid", color="black", weight=3];
11.28/4.42	108[label="primMinusNat (Succ vx3100) (Succ vx600)",fontsize=16,color="black",shape="box"];108 -> 117[label="",style="solid", color="black", weight=3];
11.28/4.42	109[label="primMinusNat (Succ vx3100) Zero",fontsize=16,color="black",shape="box"];109 -> 118[label="",style="solid", color="black", weight=3];
11.28/4.42	110[label="Succ vx700",fontsize=16,color="green",shape="box"];111[label="Zero",fontsize=16,color="green",shape="box"];112[label="primPlusNat (Succ vx600) (Succ vx3100)",fontsize=16,color="black",shape="box"];112 -> 119[label="",style="solid", color="black", weight=3];
11.28/4.42	113 -> 107[label="",style="dashed", color="red", weight=0];
11.28/4.42	113[label="primPlusNat Zero (Succ vx3100)",fontsize=16,color="magenta"];113 -> 120[label="",style="dashed", color="magenta", weight=3];
11.28/4.42	114[label="Succ vx3100",fontsize=16,color="green",shape="box"];115[label="vx600",fontsize=16,color="green",shape="box"];116[label="Succ vx3100",fontsize=16,color="green",shape="box"];117[label="primMinusNat vx3100 vx600",fontsize=16,color="burlywood",shape="triangle"];180[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];117 -> 180[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	180 -> 121[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	181[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];117 -> 181[label="",style="solid", color="burlywood", weight=9];
11.28/4.42	181 -> 122[label="",style="solid", color="burlywood", weight=3];
11.28/4.42	118[label="Pos (Succ vx3100)",fontsize=16,color="green",shape="box"];119[label="Succ (Succ (primPlusNat vx600 vx3100))",fontsize=16,color="green",shape="box"];119 -> 123[label="",style="dashed", color="green", weight=3];
11.28/4.43	120[label="vx3100",fontsize=16,color="green",shape="box"];121[label="primMinusNat (Succ vx31000) vx600",fontsize=16,color="burlywood",shape="box"];182[label="vx600/Succ vx6000",fontsize=10,color="white",style="solid",shape="box"];121 -> 182[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	182 -> 124[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	183[label="vx600/Zero",fontsize=10,color="white",style="solid",shape="box"];121 -> 183[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	183 -> 125[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	122[label="primMinusNat Zero vx600",fontsize=16,color="burlywood",shape="box"];184[label="vx600/Succ vx6000",fontsize=10,color="white",style="solid",shape="box"];122 -> 184[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	184 -> 126[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	185[label="vx600/Zero",fontsize=10,color="white",style="solid",shape="box"];122 -> 185[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	185 -> 127[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	123[label="primPlusNat vx600 vx3100",fontsize=16,color="burlywood",shape="triangle"];186[label="vx600/Succ vx6000",fontsize=10,color="white",style="solid",shape="box"];123 -> 186[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	186 -> 128[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	187[label="vx600/Zero",fontsize=10,color="white",style="solid",shape="box"];123 -> 187[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	187 -> 129[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	124[label="primMinusNat (Succ vx31000) (Succ vx6000)",fontsize=16,color="black",shape="box"];124 -> 130[label="",style="solid", color="black", weight=3];
11.28/4.43	125[label="primMinusNat (Succ vx31000) Zero",fontsize=16,color="black",shape="box"];125 -> 131[label="",style="solid", color="black", weight=3];
11.28/4.43	126[label="primMinusNat Zero (Succ vx6000)",fontsize=16,color="black",shape="box"];126 -> 132[label="",style="solid", color="black", weight=3];
11.28/4.43	127[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];127 -> 133[label="",style="solid", color="black", weight=3];
11.28/4.43	128[label="primPlusNat (Succ vx6000) vx3100",fontsize=16,color="burlywood",shape="box"];188[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];128 -> 188[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	188 -> 134[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	189[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];128 -> 189[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	189 -> 135[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	129[label="primPlusNat Zero vx3100",fontsize=16,color="burlywood",shape="box"];190[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];129 -> 190[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	190 -> 136[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	191[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];129 -> 191[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	191 -> 137[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	130 -> 117[label="",style="dashed", color="red", weight=0];
11.28/4.43	130[label="primMinusNat vx31000 vx6000",fontsize=16,color="magenta"];130 -> 138[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	130 -> 139[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	131[label="Pos (Succ vx31000)",fontsize=16,color="green",shape="box"];132[label="Neg (Succ vx6000)",fontsize=16,color="green",shape="box"];133[label="Pos Zero",fontsize=16,color="green",shape="box"];134[label="primPlusNat (Succ vx6000) (Succ vx31000)",fontsize=16,color="black",shape="box"];134 -> 140[label="",style="solid", color="black", weight=3];
11.28/4.43	135[label="primPlusNat (Succ vx6000) Zero",fontsize=16,color="black",shape="box"];135 -> 141[label="",style="solid", color="black", weight=3];
11.28/4.43	136[label="primPlusNat Zero (Succ vx31000)",fontsize=16,color="black",shape="box"];136 -> 142[label="",style="solid", color="black", weight=3];
11.28/4.43	137[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];137 -> 143[label="",style="solid", color="black", weight=3];
11.28/4.43	138[label="vx6000",fontsize=16,color="green",shape="box"];139[label="vx31000",fontsize=16,color="green",shape="box"];140[label="Succ (Succ (primPlusNat vx6000 vx31000))",fontsize=16,color="green",shape="box"];140 -> 144[label="",style="dashed", color="green", weight=3];
11.28/4.43	141[label="Succ vx6000",fontsize=16,color="green",shape="box"];142[label="Succ vx31000",fontsize=16,color="green",shape="box"];143[label="Zero",fontsize=16,color="green",shape="box"];144 -> 123[label="",style="dashed", color="red", weight=0];
11.28/4.43	144[label="primPlusNat vx6000 vx31000",fontsize=16,color="magenta"];144 -> 145[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	144 -> 146[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	145[label="vx31000",fontsize=16,color="green",shape="box"];146[label="vx6000",fontsize=16,color="green",shape="box"];}
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(8)
11.28/4.43	Complex Obligation (AND)
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(9)
11.28/4.43	Obligation:
11.28/4.43	Q DP problem:
11.28/4.43	The TRS P consists of the following rules:
11.28/4.43	
11.28/4.43	   new_numericEnumFrom(vx3) -> new_numericEnumFrom(new_ps(vx3))
11.28/4.43	
11.28/4.43	The TRS R consists of the following rules:
11.28/4.43	
11.28/4.43	   new_sr(Pos(vx310)) -> Pos(new_primMulNat0(vx310))
11.28/4.43	   new_primMulNat0(Succ(vx3100)) -> new_primPlusNat2(new_primMulNat0(vx3100))
11.28/4.43	   new_primMinusNat1(vx3100, Zero) -> Pos(Succ(vx3100))
11.28/4.43	   new_primPlusInt(Neg(vx60), Pos(Succ(vx3100))) -> new_primMinusNat1(vx3100, vx60)
11.28/4.43	   new_primPlusInt(Pos(Zero), Neg(Zero)) -> new_primMinusNat0(Zero)
11.28/4.43	   new_primMinusNat0(Zero) -> Pos(Zero)
11.28/4.43	   new_primPlusNat4(Succ(vx6000), Succ(vx31000)) -> Succ(Succ(new_primPlusNat4(vx6000, vx31000)))
11.28/4.43	   new_primPlusNat4(Succ(vx6000), Zero) -> Succ(vx6000)
11.28/4.43	   new_primPlusNat4(Zero, Succ(vx31000)) -> Succ(vx31000)
11.28/4.43	   new_primPlusInt(Neg(vx60), Neg(vx310)) -> Neg(new_primPlusNat3(vx60, vx310))
11.28/4.43	   new_sr(Neg(vx310)) -> Neg(new_primMulNat0(vx310))
11.28/4.43	   new_primPlusNat3(Succ(vx600), Zero) -> new_primPlusNat0(Succ(vx600))
11.28/4.43	   new_primPlusInt(Neg(vx60), Pos(Zero)) -> new_primMinusNat0(vx60)
11.28/4.43	   new_primPlusNat2(Succ(vx70)) -> Succ(Succ(new_primPlusNat0(vx70)))
11.28/4.43	   new_primMinusNat1(vx3100, Succ(vx600)) -> new_primMinusNat2(vx3100, vx600)
11.28/4.43	   new_primMinusNat2(Zero, Zero) -> Pos(Zero)
11.28/4.43	   new_primPlusNat2(Zero) -> Succ(Zero)
11.28/4.43	   new_primPlusNat3(Zero, Zero) -> new_primPlusNat0(Zero)
11.28/4.43	   new_primMinusNat0(Succ(vx600)) -> Neg(Succ(vx600))
11.28/4.43	   new_primPlusNat1(vx3100) -> Succ(vx3100)
11.28/4.43	   new_primPlusInt(Pos(Succ(vx600)), Neg(Succ(vx3100))) -> new_primMinusNat1(vx600, Succ(vx3100))
11.28/4.43	   new_primPlusInt(Pos(Zero), Neg(Succ(vx3100))) -> new_primMinusNat0(new_primPlusNat1(vx3100))
11.28/4.43	   new_primPlusNat3(Succ(vx600), Succ(vx3100)) -> Succ(Succ(new_primPlusNat4(vx600, vx3100)))
11.28/4.43	   new_primPlusInt(Pos(vx60), Pos(vx310)) -> Pos(new_primPlusNat3(vx60, vx310))
11.28/4.43	   new_primPlusNat3(Zero, Succ(vx3100)) -> new_primPlusNat1(vx3100)
11.28/4.43	   new_primPlusNat4(Zero, Zero) -> Zero
11.28/4.43	   new_primMinusNat2(Zero, Succ(vx6000)) -> Neg(Succ(vx6000))
11.28/4.43	   new_primPlusInt(Pos(Succ(vx600)), Neg(Zero)) -> Pos(Succ(vx600))
11.28/4.43	   new_primPlusNat0(Succ(vx700)) -> Succ(vx700)
11.28/4.43	   new_ps(Float(vx30, vx31)) -> Float(new_primPlusInt(new_sr(vx30), vx31), new_sr(vx31))
11.28/4.43	   new_primMinusNat2(Succ(vx31000), Succ(vx6000)) -> new_primMinusNat2(vx31000, vx6000)
11.28/4.43	   new_primMinusNat2(Succ(vx31000), Zero) -> Pos(Succ(vx31000))
11.28/4.43	   new_primMulNat0(Zero) -> Zero
11.28/4.43	   new_primPlusNat0(Zero) -> Zero
11.28/4.43	
11.28/4.43	The set Q consists of the following terms:
11.28/4.43	
11.28/4.43	   new_primPlusInt(Pos(Zero), Neg(Succ(x0)))
11.28/4.43	   new_primPlusNat4(Succ(x0), Succ(x1))
11.28/4.43	   new_primPlusNat4(Zero, Zero)
11.28/4.43	   new_primPlusNat3(Succ(x0), Zero)
11.28/4.43	   new_primMinusNat2(Succ(x0), Zero)
11.28/4.43	   new_primMinusNat2(Zero, Zero)
11.28/4.43	   new_primPlusNat2(Zero)
11.28/4.43	   new_primPlusNat3(Zero, Zero)
11.28/4.43	   new_primPlusNat0(Succ(x0))
11.28/4.43	   new_primMulNat0(Zero)
11.28/4.43	   new_primPlusInt(Neg(x0), Neg(x1))
11.28/4.43	   new_primMinusNat1(x0, Succ(x1))
11.28/4.43	   new_primPlusInt(Neg(x0), Pos(Succ(x1)))
11.28/4.43	   new_primPlusInt(Pos(Zero), Neg(Zero))
11.28/4.43	   new_primPlusInt(Pos(x0), Pos(x1))
11.28/4.43	   new_primPlusInt(Neg(x0), Pos(Zero))
11.28/4.43	   new_primPlusNat1(x0)
11.28/4.43	   new_primMinusNat1(x0, Zero)
11.28/4.43	   new_ps(Float(x0, x1))
11.28/4.43	   new_sr(Pos(x0))
11.28/4.43	   new_primMinusNat2(Zero, Succ(x0))
11.28/4.43	   new_primMinusNat0(Zero)
11.28/4.43	   new_primPlusInt(Pos(Succ(x0)), Neg(Zero))
11.28/4.43	   new_sr(Neg(x0))
11.28/4.43	   new_primMinusNat0(Succ(x0))
11.28/4.43	   new_primPlusNat4(Succ(x0), Zero)
11.28/4.43	   new_primPlusInt(Pos(Succ(x0)), Neg(Succ(x1)))
11.28/4.43	   new_primPlusNat4(Zero, Succ(x0))
11.28/4.43	   new_primPlusNat0(Zero)
11.28/4.43	   new_primMinusNat2(Succ(x0), Succ(x1))
11.28/4.43	   new_primMulNat0(Succ(x0))
11.28/4.43	   new_primPlusNat3(Succ(x0), Succ(x1))
11.28/4.43	   new_primPlusNat2(Succ(x0))
11.28/4.43	   new_primPlusNat3(Zero, Succ(x0))
11.28/4.43	
11.28/4.43	We have to consider all minimal (P,Q,R)-chains.
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(10) MNOCProof (EQUIVALENT)
11.28/4.43	We use the modular non-overlap check [FROCOS05] to decrease Q to the empty set.
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(11)
11.28/4.43	Obligation:
11.28/4.43	Q DP problem:
11.28/4.43	The TRS P consists of the following rules:
11.28/4.43	
11.28/4.43	   new_numericEnumFrom(vx3) -> new_numericEnumFrom(new_ps(vx3))
11.28/4.43	
11.28/4.43	The TRS R consists of the following rules:
11.28/4.43	
11.28/4.43	   new_sr(Pos(vx310)) -> Pos(new_primMulNat0(vx310))
11.28/4.43	   new_primMulNat0(Succ(vx3100)) -> new_primPlusNat2(new_primMulNat0(vx3100))
11.28/4.43	   new_primMinusNat1(vx3100, Zero) -> Pos(Succ(vx3100))
11.28/4.43	   new_primPlusInt(Neg(vx60), Pos(Succ(vx3100))) -> new_primMinusNat1(vx3100, vx60)
11.28/4.43	   new_primPlusInt(Pos(Zero), Neg(Zero)) -> new_primMinusNat0(Zero)
11.28/4.43	   new_primMinusNat0(Zero) -> Pos(Zero)
11.28/4.43	   new_primPlusNat4(Succ(vx6000), Succ(vx31000)) -> Succ(Succ(new_primPlusNat4(vx6000, vx31000)))
11.28/4.43	   new_primPlusNat4(Succ(vx6000), Zero) -> Succ(vx6000)
11.28/4.43	   new_primPlusNat4(Zero, Succ(vx31000)) -> Succ(vx31000)
11.28/4.43	   new_primPlusInt(Neg(vx60), Neg(vx310)) -> Neg(new_primPlusNat3(vx60, vx310))
11.28/4.43	   new_sr(Neg(vx310)) -> Neg(new_primMulNat0(vx310))
11.28/4.43	   new_primPlusNat3(Succ(vx600), Zero) -> new_primPlusNat0(Succ(vx600))
11.28/4.43	   new_primPlusInt(Neg(vx60), Pos(Zero)) -> new_primMinusNat0(vx60)
11.28/4.43	   new_primPlusNat2(Succ(vx70)) -> Succ(Succ(new_primPlusNat0(vx70)))
11.28/4.43	   new_primMinusNat1(vx3100, Succ(vx600)) -> new_primMinusNat2(vx3100, vx600)
11.28/4.43	   new_primMinusNat2(Zero, Zero) -> Pos(Zero)
11.28/4.43	   new_primPlusNat2(Zero) -> Succ(Zero)
11.28/4.43	   new_primPlusNat3(Zero, Zero) -> new_primPlusNat0(Zero)
11.28/4.43	   new_primMinusNat0(Succ(vx600)) -> Neg(Succ(vx600))
11.28/4.43	   new_primPlusNat1(vx3100) -> Succ(vx3100)
11.28/4.43	   new_primPlusInt(Pos(Succ(vx600)), Neg(Succ(vx3100))) -> new_primMinusNat1(vx600, Succ(vx3100))
11.28/4.43	   new_primPlusInt(Pos(Zero), Neg(Succ(vx3100))) -> new_primMinusNat0(new_primPlusNat1(vx3100))
11.28/4.43	   new_primPlusNat3(Succ(vx600), Succ(vx3100)) -> Succ(Succ(new_primPlusNat4(vx600, vx3100)))
11.28/4.43	   new_primPlusInt(Pos(vx60), Pos(vx310)) -> Pos(new_primPlusNat3(vx60, vx310))
11.28/4.43	   new_primPlusNat3(Zero, Succ(vx3100)) -> new_primPlusNat1(vx3100)
11.28/4.43	   new_primPlusNat4(Zero, Zero) -> Zero
11.28/4.43	   new_primMinusNat2(Zero, Succ(vx6000)) -> Neg(Succ(vx6000))
11.28/4.43	   new_primPlusInt(Pos(Succ(vx600)), Neg(Zero)) -> Pos(Succ(vx600))
11.28/4.43	   new_primPlusNat0(Succ(vx700)) -> Succ(vx700)
11.28/4.43	   new_ps(Float(vx30, vx31)) -> Float(new_primPlusInt(new_sr(vx30), vx31), new_sr(vx31))
11.28/4.43	   new_primMinusNat2(Succ(vx31000), Succ(vx6000)) -> new_primMinusNat2(vx31000, vx6000)
11.28/4.43	   new_primMinusNat2(Succ(vx31000), Zero) -> Pos(Succ(vx31000))
11.28/4.43	   new_primMulNat0(Zero) -> Zero
11.28/4.43	   new_primPlusNat0(Zero) -> Zero
11.28/4.43	
11.28/4.43	Q is empty.
11.28/4.43	We have to consider all (P,Q,R)-chains.
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(12) NonTerminationLoopProof (COMPLETE)
11.28/4.43	We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
11.28/4.43	Found a loop by semiunifying a rule from P directly.
11.28/4.43	
11.28/4.43	s = new_numericEnumFrom(vx3) evaluates to  t =new_numericEnumFrom(new_ps(vx3))
11.28/4.43	
11.28/4.43	Thus s starts an infinite chain as s semiunifies with t with the following substitutions:
11.28/4.43	* Matcher: [vx3 / new_ps(vx3)]
11.28/4.43	* Semiunifier: [ ]
11.28/4.43	
11.28/4.43	--------------------------------------------------------------------------------
11.28/4.43	Rewriting sequence
11.28/4.43	
11.28/4.43	The DP semiunifies directly so there is only one rewrite step from new_numericEnumFrom(vx3) to new_numericEnumFrom(new_ps(vx3)).
11.28/4.43	
11.28/4.43	
11.28/4.43	
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(13)
11.28/4.43	NO
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(14)
11.28/4.43	Obligation:
11.28/4.43	Q DP problem:
11.28/4.43	The TRS P consists of the following rules:
11.28/4.43	
11.28/4.43	   new_primMulNat(Succ(vx3100)) -> new_primMulNat(vx3100)
11.28/4.43	
11.28/4.43	R is empty.
11.28/4.43	Q is empty.
11.28/4.43	We have to consider all minimal (P,Q,R)-chains.
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(15) QDPSizeChangeProof (EQUIVALENT)
11.28/4.43	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. 
11.28/4.43	
11.28/4.43	From the DPs we obtained the following set of size-change graphs:
11.28/4.43	*new_primMulNat(Succ(vx3100)) -> new_primMulNat(vx3100)
11.28/4.43	The graph contains the following edges 1 > 1
11.28/4.43	
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(16)
11.28/4.43	YES
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(17)
11.28/4.43	Obligation:
11.28/4.43	Q DP problem:
11.28/4.43	The TRS P consists of the following rules:
11.28/4.43	
11.28/4.43	   new_primMinusNat(Succ(vx31000), Succ(vx6000)) -> new_primMinusNat(vx31000, vx6000)
11.28/4.43	
11.28/4.43	R is empty.
11.28/4.43	Q is empty.
11.28/4.43	We have to consider all minimal (P,Q,R)-chains.
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(18) QDPSizeChangeProof (EQUIVALENT)
11.28/4.43	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. 
11.28/4.43	
11.28/4.43	From the DPs we obtained the following set of size-change graphs:
11.28/4.43	*new_primMinusNat(Succ(vx31000), Succ(vx6000)) -> new_primMinusNat(vx31000, vx6000)
11.28/4.43	The graph contains the following edges 1 > 1, 2 > 2
11.28/4.43	
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(19)
11.28/4.43	YES
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(20)
11.28/4.43	Obligation:
11.28/4.43	Q DP problem:
11.28/4.43	The TRS P consists of the following rules:
11.28/4.43	
11.28/4.43	   new_primPlusNat(Succ(vx6000), Succ(vx31000)) -> new_primPlusNat(vx6000, vx31000)
11.28/4.43	
11.28/4.43	R is empty.
11.28/4.43	Q is empty.
11.28/4.43	We have to consider all minimal (P,Q,R)-chains.
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(21) QDPSizeChangeProof (EQUIVALENT)
11.28/4.43	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. 
11.28/4.43	
11.28/4.43	From the DPs we obtained the following set of size-change graphs:
11.28/4.43	*new_primPlusNat(Succ(vx6000), Succ(vx31000)) -> new_primPlusNat(vx6000, vx31000)
11.28/4.43	The graph contains the following edges 1 > 1, 2 > 2
11.28/4.43	
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(22)
11.28/4.43	YES
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(23) Narrow (COMPLETE)
11.28/4.43	Haskell To QDPs
11.28/4.43	
11.28/4.43	digraph dp_graph {
11.28/4.43	node [outthreshold=100, inthreshold=100];1[label="enumFrom",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
11.28/4.43	3[label="enumFrom vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
11.28/4.43	4[label="numericEnumFrom vx3",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
11.28/4.43	5[label="vx3 : (numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="green",shape="box"];5 -> 6[label="",style="dashed", color="green", weight=3];
11.28/4.43	6[label="(numericEnumFrom $! vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
11.28/4.43	7 -> 8[label="",style="dashed", color="red", weight=0];
11.28/4.43	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];
11.28/4.43	9 -> 4[label="",style="dashed", color="red", weight=0];
11.28/4.43	9[label="numericEnumFrom (vx3 + fromInt (Pos (Succ Zero)))",fontsize=16,color="magenta"];9 -> 10[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	8[label="(vx3 + fromInt (Pos (Succ Zero)) `seq` vx4)",fontsize=16,color="black",shape="triangle"];8 -> 11[label="",style="solid", color="black", weight=3];
11.28/4.43	10[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];10 -> 12[label="",style="solid", color="black", weight=3];
11.28/4.43	11 -> 13[label="",style="dashed", color="red", weight=0];
11.28/4.43	11[label="enforceWHNF (WHNF (vx3 + fromInt (Pos (Succ Zero)))) vx4",fontsize=16,color="magenta"];11 -> 14[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	12[label="primPlusFloat vx3 (fromInt (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];147[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];12 -> 147[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	147 -> 15[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	14 -> 10[label="",style="dashed", color="red", weight=0];
11.28/4.43	14[label="vx3 + fromInt (Pos (Succ Zero))",fontsize=16,color="magenta"];13[label="enforceWHNF (WHNF vx5) vx4",fontsize=16,color="black",shape="triangle"];13 -> 16[label="",style="solid", color="black", weight=3];
11.28/4.43	15[label="primPlusFloat (Float vx30 vx31) (fromInt (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3];
11.28/4.43	16[label="vx4",fontsize=16,color="green",shape="box"];17[label="primPlusFloat (Float vx30 vx31) (primIntToFloat (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];17 -> 18[label="",style="solid", color="black", weight=3];
11.28/4.43	18[label="primPlusFloat (Float vx30 vx31) (Float (Pos (Succ Zero)) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];18 -> 19[label="",style="solid", color="black", weight=3];
11.28/4.43	19[label="Float (vx30 * Pos (Succ Zero) + Pos (Succ Zero) * vx31) (vx31 * Pos (Succ Zero))",fontsize=16,color="green",shape="box"];19 -> 20[label="",style="dashed", color="green", weight=3];
11.28/4.43	19 -> 21[label="",style="dashed", color="green", weight=3];
11.28/4.43	20[label="vx30 * Pos (Succ Zero) + Pos (Succ Zero) * vx31",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3];
11.28/4.43	21[label="vx31 * Pos (Succ Zero)",fontsize=16,color="black",shape="triangle"];21 -> 23[label="",style="solid", color="black", weight=3];
11.28/4.43	22 -> 24[label="",style="dashed", color="red", weight=0];
11.28/4.43	22[label="primPlusInt (vx30 * Pos (Succ Zero)) (Pos (Succ Zero) * vx31)",fontsize=16,color="magenta"];22 -> 25[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	23[label="primMulInt vx31 (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];148[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];23 -> 148[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	148 -> 26[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	149[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];23 -> 149[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	149 -> 27[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	25 -> 21[label="",style="dashed", color="red", weight=0];
11.28/4.43	25[label="vx30 * Pos (Succ Zero)",fontsize=16,color="magenta"];25 -> 28[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	24[label="primPlusInt vx6 (Pos (Succ Zero) * vx31)",fontsize=16,color="burlywood",shape="triangle"];150[label="vx6/Pos vx60",fontsize=10,color="white",style="solid",shape="box"];24 -> 150[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	150 -> 29[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	151[label="vx6/Neg vx60",fontsize=10,color="white",style="solid",shape="box"];24 -> 151[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	151 -> 30[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	26[label="primMulInt (Pos vx310) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];26 -> 31[label="",style="solid", color="black", weight=3];
11.28/4.43	27[label="primMulInt (Neg vx310) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];27 -> 32[label="",style="solid", color="black", weight=3];
11.28/4.43	28[label="vx30",fontsize=16,color="green",shape="box"];29[label="primPlusInt (Pos vx60) (Pos (Succ Zero) * vx31)",fontsize=16,color="black",shape="box"];29 -> 33[label="",style="solid", color="black", weight=3];
11.28/4.43	30[label="primPlusInt (Neg vx60) (Pos (Succ Zero) * vx31)",fontsize=16,color="black",shape="box"];30 -> 34[label="",style="solid", color="black", weight=3];
11.28/4.43	31[label="Pos (primMulNat vx310 (Succ Zero))",fontsize=16,color="green",shape="box"];31 -> 35[label="",style="dashed", color="green", weight=3];
11.28/4.43	32[label="Neg (primMulNat vx310 (Succ Zero))",fontsize=16,color="green",shape="box"];32 -> 36[label="",style="dashed", color="green", weight=3];
11.28/4.43	33[label="primPlusInt (Pos vx60) (primMulInt (Pos (Succ Zero)) vx31)",fontsize=16,color="burlywood",shape="box"];152[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];33 -> 152[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	152 -> 37[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	153[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];33 -> 153[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	153 -> 38[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	34[label="primPlusInt (Neg vx60) (primMulInt (Pos (Succ Zero)) vx31)",fontsize=16,color="burlywood",shape="box"];154[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];34 -> 154[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	154 -> 39[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	155[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];34 -> 155[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	155 -> 40[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	35[label="primMulNat vx310 (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];156[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];35 -> 156[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	156 -> 41[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	157[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];35 -> 157[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	157 -> 42[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	36 -> 35[label="",style="dashed", color="red", weight=0];
11.28/4.43	36[label="primMulNat vx310 (Succ Zero)",fontsize=16,color="magenta"];36 -> 43[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	37[label="primPlusInt (Pos vx60) (primMulInt (Pos (Succ Zero)) (Pos vx310))",fontsize=16,color="black",shape="box"];37 -> 44[label="",style="solid", color="black", weight=3];
11.28/4.43	38[label="primPlusInt (Pos vx60) (primMulInt (Pos (Succ Zero)) (Neg vx310))",fontsize=16,color="black",shape="box"];38 -> 45[label="",style="solid", color="black", weight=3];
11.28/4.43	39[label="primPlusInt (Neg vx60) (primMulInt (Pos (Succ Zero)) (Pos vx310))",fontsize=16,color="black",shape="box"];39 -> 46[label="",style="solid", color="black", weight=3];
11.28/4.43	40[label="primPlusInt (Neg vx60) (primMulInt (Pos (Succ Zero)) (Neg vx310))",fontsize=16,color="black",shape="box"];40 -> 47[label="",style="solid", color="black", weight=3];
11.28/4.43	41[label="primMulNat (Succ vx3100) (Succ Zero)",fontsize=16,color="black",shape="box"];41 -> 48[label="",style="solid", color="black", weight=3];
11.28/4.43	42[label="primMulNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];42 -> 49[label="",style="solid", color="black", weight=3];
11.28/4.43	43[label="vx310",fontsize=16,color="green",shape="box"];44[label="primPlusInt (Pos vx60) (Pos (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];44 -> 50[label="",style="solid", color="black", weight=3];
11.28/4.43	45[label="primPlusInt (Pos vx60) (Neg (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3];
11.28/4.43	46[label="primPlusInt (Neg vx60) (Pos (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3];
11.28/4.43	47[label="primPlusInt (Neg vx60) (Neg (primMulNat (Succ Zero) vx310))",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3];
11.28/4.43	48 -> 54[label="",style="dashed", color="red", weight=0];
11.28/4.43	48[label="primPlusNat (primMulNat vx3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];48 -> 55[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	49[label="Zero",fontsize=16,color="green",shape="box"];50[label="Pos (primPlusNat vx60 (primMulNat (Succ Zero) vx310))",fontsize=16,color="green",shape="box"];50 -> 56[label="",style="dashed", color="green", weight=3];
11.28/4.43	51[label="primMinusNat vx60 (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];158[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];51 -> 158[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	158 -> 57[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	159[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];51 -> 159[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	159 -> 58[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	52[label="primMinusNat (primMulNat (Succ Zero) vx310) vx60",fontsize=16,color="burlywood",shape="box"];160[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];52 -> 160[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	160 -> 59[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	161[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];52 -> 161[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	161 -> 60[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	53[label="Neg (primPlusNat vx60 (primMulNat (Succ Zero) vx310))",fontsize=16,color="green",shape="box"];53 -> 61[label="",style="dashed", color="green", weight=3];
11.28/4.43	55 -> 35[label="",style="dashed", color="red", weight=0];
11.28/4.43	55[label="primMulNat vx3100 (Succ Zero)",fontsize=16,color="magenta"];55 -> 62[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	54[label="primPlusNat vx7 (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];162[label="vx7/Succ vx70",fontsize=10,color="white",style="solid",shape="box"];54 -> 162[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	162 -> 63[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	163[label="vx7/Zero",fontsize=10,color="white",style="solid",shape="box"];54 -> 163[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	163 -> 64[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	56[label="primPlusNat vx60 (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="triangle"];164[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];56 -> 164[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	164 -> 65[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	165[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];56 -> 165[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	165 -> 66[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	57[label="primMinusNat (Succ vx600) (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];166[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];57 -> 166[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	166 -> 67[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	167[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];57 -> 167[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	167 -> 68[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	58[label="primMinusNat Zero (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];168[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];58 -> 168[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	168 -> 69[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	169[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];58 -> 169[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	169 -> 70[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	59[label="primMinusNat (primMulNat (Succ Zero) (Succ vx3100)) vx60",fontsize=16,color="black",shape="box"];59 -> 71[label="",style="solid", color="black", weight=3];
11.28/4.43	60[label="primMinusNat (primMulNat (Succ Zero) Zero) vx60",fontsize=16,color="black",shape="box"];60 -> 72[label="",style="solid", color="black", weight=3];
11.28/4.43	61 -> 56[label="",style="dashed", color="red", weight=0];
11.28/4.43	61[label="primPlusNat vx60 (primMulNat (Succ Zero) vx310)",fontsize=16,color="magenta"];61 -> 73[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	61 -> 74[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	62[label="vx3100",fontsize=16,color="green",shape="box"];63[label="primPlusNat (Succ vx70) (Succ Zero)",fontsize=16,color="black",shape="box"];63 -> 75[label="",style="solid", color="black", weight=3];
11.28/4.43	64[label="primPlusNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];64 -> 76[label="",style="solid", color="black", weight=3];
11.28/4.43	65[label="primPlusNat (Succ vx600) (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];170[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];65 -> 170[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	170 -> 77[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	171[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];65 -> 171[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	171 -> 78[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	66[label="primPlusNat Zero (primMulNat (Succ Zero) vx310)",fontsize=16,color="burlywood",shape="box"];172[label="vx310/Succ vx3100",fontsize=10,color="white",style="solid",shape="box"];66 -> 172[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	172 -> 79[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	173[label="vx310/Zero",fontsize=10,color="white",style="solid",shape="box"];66 -> 173[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	173 -> 80[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	67[label="primMinusNat (Succ vx600) (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];67 -> 81[label="",style="solid", color="black", weight=3];
11.28/4.43	68[label="primMinusNat (Succ vx600) (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];68 -> 82[label="",style="solid", color="black", weight=3];
11.28/4.43	69[label="primMinusNat Zero (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];69 -> 83[label="",style="solid", color="black", weight=3];
11.28/4.43	70[label="primMinusNat Zero (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];70 -> 84[label="",style="solid", color="black", weight=3];
11.28/4.43	71[label="primMinusNat (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100)) vx60",fontsize=16,color="black",shape="box"];71 -> 85[label="",style="solid", color="black", weight=3];
11.28/4.43	72[label="primMinusNat Zero vx60",fontsize=16,color="burlywood",shape="triangle"];174[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];72 -> 174[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	174 -> 86[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	175[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];72 -> 175[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	175 -> 87[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	73[label="vx60",fontsize=16,color="green",shape="box"];74[label="vx310",fontsize=16,color="green",shape="box"];75[label="Succ (Succ (primPlusNat vx70 Zero))",fontsize=16,color="green",shape="box"];75 -> 88[label="",style="dashed", color="green", weight=3];
11.28/4.43	76[label="Succ Zero",fontsize=16,color="green",shape="box"];77[label="primPlusNat (Succ vx600) (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];77 -> 89[label="",style="solid", color="black", weight=3];
11.28/4.43	78[label="primPlusNat (Succ vx600) (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];78 -> 90[label="",style="solid", color="black", weight=3];
11.28/4.43	79[label="primPlusNat Zero (primMulNat (Succ Zero) (Succ vx3100))",fontsize=16,color="black",shape="box"];79 -> 91[label="",style="solid", color="black", weight=3];
11.28/4.43	80[label="primPlusNat Zero (primMulNat (Succ Zero) Zero)",fontsize=16,color="black",shape="box"];80 -> 92[label="",style="solid", color="black", weight=3];
11.28/4.43	81[label="primMinusNat (Succ vx600) (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="black",shape="box"];81 -> 93[label="",style="solid", color="black", weight=3];
11.28/4.43	82[label="primMinusNat (Succ vx600) Zero",fontsize=16,color="black",shape="box"];82 -> 94[label="",style="solid", color="black", weight=3];
11.28/4.43	83 -> 72[label="",style="dashed", color="red", weight=0];
11.28/4.43	83[label="primMinusNat Zero (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="magenta"];83 -> 95[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	84 -> 72[label="",style="dashed", color="red", weight=0];
11.28/4.43	84[label="primMinusNat Zero Zero",fontsize=16,color="magenta"];84 -> 96[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	85[label="primMinusNat (primPlusNat Zero (Succ vx3100)) vx60",fontsize=16,color="black",shape="box"];85 -> 97[label="",style="solid", color="black", weight=3];
11.28/4.43	86[label="primMinusNat Zero (Succ vx600)",fontsize=16,color="black",shape="box"];86 -> 98[label="",style="solid", color="black", weight=3];
11.28/4.43	87[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];87 -> 99[label="",style="solid", color="black", weight=3];
11.28/4.43	88[label="primPlusNat vx70 Zero",fontsize=16,color="burlywood",shape="triangle"];176[label="vx70/Succ vx700",fontsize=10,color="white",style="solid",shape="box"];88 -> 176[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	176 -> 100[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	177[label="vx70/Zero",fontsize=10,color="white",style="solid",shape="box"];88 -> 177[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	177 -> 101[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	89[label="primPlusNat (Succ vx600) (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="black",shape="box"];89 -> 102[label="",style="solid", color="black", weight=3];
11.28/4.43	90 -> 88[label="",style="dashed", color="red", weight=0];
11.28/4.43	90[label="primPlusNat (Succ vx600) Zero",fontsize=16,color="magenta"];90 -> 103[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	91[label="primPlusNat Zero (primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100))",fontsize=16,color="black",shape="box"];91 -> 104[label="",style="solid", color="black", weight=3];
11.28/4.43	92 -> 88[label="",style="dashed", color="red", weight=0];
11.28/4.43	92[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];92 -> 105[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	93[label="primMinusNat (Succ vx600) (primPlusNat Zero (Succ vx3100))",fontsize=16,color="black",shape="box"];93 -> 106[label="",style="solid", color="black", weight=3];
11.28/4.43	94[label="Pos (Succ vx600)",fontsize=16,color="green",shape="box"];95[label="primPlusNat (primMulNat Zero (Succ vx3100)) (Succ vx3100)",fontsize=16,color="black",shape="box"];95 -> 107[label="",style="solid", color="black", weight=3];
11.28/4.43	96[label="Zero",fontsize=16,color="green",shape="box"];97[label="primMinusNat (Succ vx3100) vx60",fontsize=16,color="burlywood",shape="triangle"];178[label="vx60/Succ vx600",fontsize=10,color="white",style="solid",shape="box"];97 -> 178[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	178 -> 108[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	179[label="vx60/Zero",fontsize=10,color="white",style="solid",shape="box"];97 -> 179[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	179 -> 109[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	98[label="Neg (Succ vx600)",fontsize=16,color="green",shape="box"];99[label="Pos Zero",fontsize=16,color="green",shape="box"];100[label="primPlusNat (Succ vx700) Zero",fontsize=16,color="black",shape="box"];100 -> 110[label="",style="solid", color="black", weight=3];
11.28/4.43	101[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];101 -> 111[label="",style="solid", color="black", weight=3];
11.28/4.43	102[label="primPlusNat (Succ vx600) (primPlusNat Zero (Succ vx3100))",fontsize=16,color="black",shape="box"];102 -> 112[label="",style="solid", color="black", weight=3];
11.28/4.43	103[label="Succ vx600",fontsize=16,color="green",shape="box"];104[label="primPlusNat Zero (primPlusNat Zero (Succ vx3100))",fontsize=16,color="black",shape="box"];104 -> 113[label="",style="solid", color="black", weight=3];
11.28/4.43	105[label="Zero",fontsize=16,color="green",shape="box"];106 -> 97[label="",style="dashed", color="red", weight=0];
11.28/4.43	106[label="primMinusNat (Succ vx600) (Succ vx3100)",fontsize=16,color="magenta"];106 -> 114[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	106 -> 115[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	107[label="primPlusNat Zero (Succ vx3100)",fontsize=16,color="black",shape="triangle"];107 -> 116[label="",style="solid", color="black", weight=3];
11.28/4.43	108[label="primMinusNat (Succ vx3100) (Succ vx600)",fontsize=16,color="black",shape="box"];108 -> 117[label="",style="solid", color="black", weight=3];
11.28/4.43	109[label="primMinusNat (Succ vx3100) Zero",fontsize=16,color="black",shape="box"];109 -> 118[label="",style="solid", color="black", weight=3];
11.28/4.43	110[label="Succ vx700",fontsize=16,color="green",shape="box"];111[label="Zero",fontsize=16,color="green",shape="box"];112[label="primPlusNat (Succ vx600) (Succ vx3100)",fontsize=16,color="black",shape="box"];112 -> 119[label="",style="solid", color="black", weight=3];
11.28/4.43	113 -> 107[label="",style="dashed", color="red", weight=0];
11.28/4.43	113[label="primPlusNat Zero (Succ vx3100)",fontsize=16,color="magenta"];113 -> 120[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	114[label="Succ vx3100",fontsize=16,color="green",shape="box"];115[label="vx600",fontsize=16,color="green",shape="box"];116[label="Succ vx3100",fontsize=16,color="green",shape="box"];117[label="primMinusNat vx3100 vx600",fontsize=16,color="burlywood",shape="triangle"];180[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];117 -> 180[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	180 -> 121[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	181[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];117 -> 181[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	181 -> 122[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	118[label="Pos (Succ vx3100)",fontsize=16,color="green",shape="box"];119[label="Succ (Succ (primPlusNat vx600 vx3100))",fontsize=16,color="green",shape="box"];119 -> 123[label="",style="dashed", color="green", weight=3];
11.28/4.43	120[label="vx3100",fontsize=16,color="green",shape="box"];121[label="primMinusNat (Succ vx31000) vx600",fontsize=16,color="burlywood",shape="box"];182[label="vx600/Succ vx6000",fontsize=10,color="white",style="solid",shape="box"];121 -> 182[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	182 -> 124[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	183[label="vx600/Zero",fontsize=10,color="white",style="solid",shape="box"];121 -> 183[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	183 -> 125[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	122[label="primMinusNat Zero vx600",fontsize=16,color="burlywood",shape="box"];184[label="vx600/Succ vx6000",fontsize=10,color="white",style="solid",shape="box"];122 -> 184[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	184 -> 126[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	185[label="vx600/Zero",fontsize=10,color="white",style="solid",shape="box"];122 -> 185[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	185 -> 127[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	123[label="primPlusNat vx600 vx3100",fontsize=16,color="burlywood",shape="triangle"];186[label="vx600/Succ vx6000",fontsize=10,color="white",style="solid",shape="box"];123 -> 186[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	186 -> 128[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	187[label="vx600/Zero",fontsize=10,color="white",style="solid",shape="box"];123 -> 187[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	187 -> 129[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	124[label="primMinusNat (Succ vx31000) (Succ vx6000)",fontsize=16,color="black",shape="box"];124 -> 130[label="",style="solid", color="black", weight=3];
11.28/4.43	125[label="primMinusNat (Succ vx31000) Zero",fontsize=16,color="black",shape="box"];125 -> 131[label="",style="solid", color="black", weight=3];
11.28/4.43	126[label="primMinusNat Zero (Succ vx6000)",fontsize=16,color="black",shape="box"];126 -> 132[label="",style="solid", color="black", weight=3];
11.28/4.43	127[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];127 -> 133[label="",style="solid", color="black", weight=3];
11.28/4.43	128[label="primPlusNat (Succ vx6000) vx3100",fontsize=16,color="burlywood",shape="box"];188[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];128 -> 188[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	188 -> 134[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	189[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];128 -> 189[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	189 -> 135[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	129[label="primPlusNat Zero vx3100",fontsize=16,color="burlywood",shape="box"];190[label="vx3100/Succ vx31000",fontsize=10,color="white",style="solid",shape="box"];129 -> 190[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	190 -> 136[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	191[label="vx3100/Zero",fontsize=10,color="white",style="solid",shape="box"];129 -> 191[label="",style="solid", color="burlywood", weight=9];
11.28/4.43	191 -> 137[label="",style="solid", color="burlywood", weight=3];
11.28/4.43	130 -> 117[label="",style="dashed", color="red", weight=0];
11.28/4.43	130[label="primMinusNat vx31000 vx6000",fontsize=16,color="magenta"];130 -> 138[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	130 -> 139[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	131[label="Pos (Succ vx31000)",fontsize=16,color="green",shape="box"];132[label="Neg (Succ vx6000)",fontsize=16,color="green",shape="box"];133[label="Pos Zero",fontsize=16,color="green",shape="box"];134[label="primPlusNat (Succ vx6000) (Succ vx31000)",fontsize=16,color="black",shape="box"];134 -> 140[label="",style="solid", color="black", weight=3];
11.28/4.43	135[label="primPlusNat (Succ vx6000) Zero",fontsize=16,color="black",shape="box"];135 -> 141[label="",style="solid", color="black", weight=3];
11.28/4.43	136[label="primPlusNat Zero (Succ vx31000)",fontsize=16,color="black",shape="box"];136 -> 142[label="",style="solid", color="black", weight=3];
11.28/4.43	137[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];137 -> 143[label="",style="solid", color="black", weight=3];
11.28/4.43	138[label="vx6000",fontsize=16,color="green",shape="box"];139[label="vx31000",fontsize=16,color="green",shape="box"];140[label="Succ (Succ (primPlusNat vx6000 vx31000))",fontsize=16,color="green",shape="box"];140 -> 144[label="",style="dashed", color="green", weight=3];
11.28/4.43	141[label="Succ vx6000",fontsize=16,color="green",shape="box"];142[label="Succ vx31000",fontsize=16,color="green",shape="box"];143[label="Zero",fontsize=16,color="green",shape="box"];144 -> 123[label="",style="dashed", color="red", weight=0];
11.28/4.43	144[label="primPlusNat vx6000 vx31000",fontsize=16,color="magenta"];144 -> 145[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	144 -> 146[label="",style="dashed", color="magenta", weight=3];
11.28/4.43	145[label="vx31000",fontsize=16,color="green",shape="box"];146[label="vx6000",fontsize=16,color="green",shape="box"];}
11.28/4.43	
11.28/4.43	----------------------------------------
11.28/4.43	
11.28/4.43	(24)
11.28/4.43	TRUE
11.52/4.47	EOF