8.31/3.62	YES
9.82/4.11	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
9.82/4.11	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.82/4.11	
9.82/4.11	
9.82/4.11	H-Termination with start terms of the given HASKELL could be proven:
9.82/4.11	
9.82/4.11	(0) HASKELL
9.82/4.11	(1) BR [EQUIVALENT, 0 ms]
9.82/4.11	(2) HASKELL
9.82/4.11	(3) COR [EQUIVALENT, 0 ms]
9.82/4.11	(4) HASKELL
9.82/4.11	(5) NumRed [SOUND, 0 ms]
9.82/4.11	(6) HASKELL
9.82/4.11	(7) Narrow [SOUND, 0 ms]
9.82/4.11	(8) AND
9.82/4.11	    (9) QDP
9.82/4.11	        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.82/4.11	        (11) YES
9.82/4.11	    (12) QDP
9.82/4.11	        (13) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.82/4.11	        (14) YES
9.82/4.11	    (15) QDP
9.82/4.11	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.82/4.11	        (17) YES
9.82/4.11	
9.82/4.11	
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(0)
9.82/4.11	Obligation:
9.82/4.11	mainModule Main 
9.82/4.11	module Main where {
9.82/4.11	import qualified Prelude;
9.82/4.11	}
9.82/4.11	
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(1) BR (EQUIVALENT)
9.82/4.11	Replaced joker patterns by fresh variables and removed binding patterns.
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(2)
9.82/4.11	Obligation:
9.82/4.11	mainModule Main 
9.82/4.11	module Main where {
9.82/4.11	import qualified Prelude;
9.82/4.11	}
9.82/4.11	
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(3) COR (EQUIVALENT)
9.82/4.11	Cond Reductions:
9.82/4.11	The following Function with conditions
9.82/4.11	"undefined |Falseundefined;
9.82/4.11	"
9.82/4.11	is transformed to
9.82/4.11	"undefined  = undefined1;
9.82/4.11	"
9.82/4.11	"undefined0 True = undefined;
9.82/4.11	"
9.82/4.11	"undefined1  = undefined0 False;
9.82/4.11	"
9.82/4.11	
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(4)
9.82/4.11	Obligation:
9.82/4.11	mainModule Main 
9.82/4.11	module Main where {
9.82/4.11	import qualified Prelude;
9.82/4.11	}
9.82/4.11	
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(5) NumRed (SOUND)
9.82/4.11	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(6)
9.82/4.11	Obligation:
9.82/4.11	mainModule Main 
9.82/4.11	module Main where {
9.82/4.11	import qualified Prelude;
9.82/4.11	}
9.82/4.11	
9.82/4.11	----------------------------------------
9.82/4.11	
9.82/4.11	(7) Narrow (SOUND)
9.82/4.11	Haskell To QDPs
9.82/4.11	
9.82/4.11	digraph dp_graph {
9.82/4.11	node [outthreshold=100, inthreshold=100];1[label="sinh",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.82/4.11	3[label="sinh vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
9.82/4.11	4[label="(exp vx3 - exp (`negate` vx3)) / fromInt (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
9.82/4.11	5[label="primDivFloat (exp vx3 - exp (`negate` vx3)) (fromInt (Pos (Succ (Succ Zero))))",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.82/4.11	6 -> 16[label="",style="dashed", color="red", weight=0];
9.82/4.11	6[label="primDivFloat (primMinusFloat (exp vx3) (exp (`negate` vx3))) (fromInt (Pos (Succ (Succ Zero))))",fontsize=16,color="magenta"];6 -> 17[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	6 -> 18[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	17[label="exp vx3",fontsize=16,color="black",shape="triangle"];17 -> 20[label="",style="solid", color="black", weight=3];
9.82/4.11	18 -> 17[label="",style="dashed", color="red", weight=0];
9.82/4.11	18[label="exp (`negate` vx3)",fontsize=16,color="magenta"];18 -> 21[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	16[label="primDivFloat (primMinusFloat vx4 vx5) (fromInt (Pos (Succ (Succ Zero))))",fontsize=16,color="burlywood",shape="triangle"];499[label="vx4/Float vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];16 -> 499[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	499 -> 22[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	20[label="primExpFloat vx3",fontsize=16,color="black",shape="box"];20 -> 23[label="",style="solid", color="black", weight=3];
9.82/4.11	21[label="`negate` vx3",fontsize=16,color="black",shape="box"];21 -> 24[label="",style="solid", color="black", weight=3];
9.82/4.11	22[label="primDivFloat (primMinusFloat (Float vx40 vx41) vx5) (fromInt (Pos (Succ (Succ Zero))))",fontsize=16,color="burlywood",shape="box"];500[label="vx5/Float vx50 vx51",fontsize=10,color="white",style="solid",shape="box"];22 -> 500[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	500 -> 25[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	23[label="terminator vx3",fontsize=16,color="black",shape="box"];23 -> 26[label="",style="solid", color="black", weight=3];
9.82/4.11	24[label="primNegFloat vx3",fontsize=16,color="burlywood",shape="box"];501[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];24 -> 501[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	501 -> 27[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	25[label="primDivFloat (primMinusFloat (Float vx40 vx41) (Float vx50 vx51)) (fromInt (Pos (Succ (Succ Zero))))",fontsize=16,color="black",shape="box"];25 -> 28[label="",style="solid", color="black", weight=3];
9.82/4.11	26[label="ter1m vx3",fontsize=16,color="green",shape="box"];26 -> 29[label="",style="dashed", color="green", weight=3];
9.82/4.11	27[label="primNegFloat (Float vx30 vx31)",fontsize=16,color="black",shape="box"];27 -> 30[label="",style="solid", color="black", weight=3];
9.82/4.11	28[label="primDivFloat (Float (vx40 * vx51 - vx50 * vx41) (vx41 * vx51)) (fromInt (Pos (Succ (Succ Zero))))",fontsize=16,color="black",shape="box"];28 -> 31[label="",style="solid", color="black", weight=3];
9.82/4.11	29[label="vx3",fontsize=16,color="green",shape="box"];30[label="Float (`negate` vx30) vx31",fontsize=16,color="green",shape="box"];30 -> 32[label="",style="dashed", color="green", weight=3];
9.82/4.11	31[label="primDivFloat (Float (vx40 * vx51 - vx50 * vx41) (vx41 * vx51)) (primIntToFloat (Pos (Succ (Succ Zero))))",fontsize=16,color="black",shape="box"];31 -> 33[label="",style="solid", color="black", weight=3];
9.82/4.11	32[label="`negate` vx30",fontsize=16,color="black",shape="box"];32 -> 34[label="",style="solid", color="black", weight=3];
9.82/4.11	33[label="primDivFloat (Float (vx40 * vx51 - vx50 * vx41) (vx41 * vx51)) (Float (Pos (Succ (Succ Zero))) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];33 -> 35[label="",style="solid", color="black", weight=3];
9.82/4.11	34[label="primNegInt vx30",fontsize=16,color="burlywood",shape="box"];502[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];34 -> 502[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	502 -> 36[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	503[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];34 -> 503[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	503 -> 37[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	35[label="Float ((vx40 * vx51 - vx50 * vx41) * Pos (Succ Zero)) (vx41 * vx51 * Pos (Succ (Succ Zero)))",fontsize=16,color="green",shape="box"];35 -> 38[label="",style="dashed", color="green", weight=3];
9.82/4.11	35 -> 39[label="",style="dashed", color="green", weight=3];
9.82/4.11	36[label="primNegInt (Pos vx300)",fontsize=16,color="black",shape="box"];36 -> 40[label="",style="solid", color="black", weight=3];
9.82/4.11	37[label="primNegInt (Neg vx300)",fontsize=16,color="black",shape="box"];37 -> 41[label="",style="solid", color="black", weight=3];
9.82/4.11	38[label="(vx40 * vx51 - vx50 * vx41) * Pos (Succ Zero)",fontsize=16,color="black",shape="box"];38 -> 42[label="",style="solid", color="black", weight=3];
9.82/4.11	39[label="vx41 * vx51 * Pos (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];39 -> 43[label="",style="solid", color="black", weight=3];
9.82/4.11	40[label="Neg vx300",fontsize=16,color="green",shape="box"];41[label="Pos vx300",fontsize=16,color="green",shape="box"];42[label="primMulInt (vx40 * vx51 - vx50 * vx41) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];42 -> 44[label="",style="solid", color="black", weight=3];
9.82/4.11	43[label="primMulInt (vx41 * vx51) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];43 -> 45[label="",style="solid", color="black", weight=3];
9.82/4.11	44[label="primMulInt (primMinusInt (vx40 * vx51) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];44 -> 46[label="",style="solid", color="black", weight=3];
9.82/4.11	45[label="primMulInt (primMulInt vx41 vx51) (Pos (Succ (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];504[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];45 -> 504[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	504 -> 47[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	505[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];45 -> 505[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	505 -> 48[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	46[label="primMulInt (primMinusInt (primMulInt vx40 vx51) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];506[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];46 -> 506[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	506 -> 49[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	507[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];46 -> 507[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	507 -> 50[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	47[label="primMulInt (primMulInt (Pos vx410) vx51) (Pos (Succ (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];508[label="vx51/Pos vx510",fontsize=10,color="white",style="solid",shape="box"];47 -> 508[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	508 -> 51[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	509[label="vx51/Neg vx510",fontsize=10,color="white",style="solid",shape="box"];47 -> 509[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	509 -> 52[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	48[label="primMulInt (primMulInt (Neg vx410) vx51) (Pos (Succ (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];510[label="vx51/Pos vx510",fontsize=10,color="white",style="solid",shape="box"];48 -> 510[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	510 -> 53[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	511[label="vx51/Neg vx510",fontsize=10,color="white",style="solid",shape="box"];48 -> 511[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	511 -> 54[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	49[label="primMulInt (primMinusInt (primMulInt (Pos vx400) vx51) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];512[label="vx51/Pos vx510",fontsize=10,color="white",style="solid",shape="box"];49 -> 512[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	512 -> 55[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	513[label="vx51/Neg vx510",fontsize=10,color="white",style="solid",shape="box"];49 -> 513[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	513 -> 56[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	50[label="primMulInt (primMinusInt (primMulInt (Neg vx400) vx51) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];514[label="vx51/Pos vx510",fontsize=10,color="white",style="solid",shape="box"];50 -> 514[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	514 -> 57[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	515[label="vx51/Neg vx510",fontsize=10,color="white",style="solid",shape="box"];50 -> 515[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	515 -> 58[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	51[label="primMulInt (primMulInt (Pos vx410) (Pos vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];51 -> 59[label="",style="solid", color="black", weight=3];
9.82/4.11	52[label="primMulInt (primMulInt (Pos vx410) (Neg vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];52 -> 60[label="",style="solid", color="black", weight=3];
9.82/4.11	53[label="primMulInt (primMulInt (Neg vx410) (Pos vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];53 -> 61[label="",style="solid", color="black", weight=3];
9.82/4.11	54[label="primMulInt (primMulInt (Neg vx410) (Neg vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="box"];54 -> 62[label="",style="solid", color="black", weight=3];
9.82/4.11	55[label="primMulInt (primMinusInt (primMulInt (Pos vx400) (Pos vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];55 -> 63[label="",style="solid", color="black", weight=3];
9.82/4.11	56[label="primMulInt (primMinusInt (primMulInt (Pos vx400) (Neg vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];56 -> 64[label="",style="solid", color="black", weight=3];
9.82/4.11	57[label="primMulInt (primMinusInt (primMulInt (Neg vx400) (Pos vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];57 -> 65[label="",style="solid", color="black", weight=3];
9.82/4.11	58[label="primMulInt (primMinusInt (primMulInt (Neg vx400) (Neg vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];58 -> 66[label="",style="solid", color="black", weight=3];
9.82/4.11	59[label="primMulInt (Pos (primMulNat vx410 vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="triangle"];59 -> 67[label="",style="solid", color="black", weight=3];
9.82/4.11	60[label="primMulInt (Neg (primMulNat vx410 vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="black",shape="triangle"];60 -> 68[label="",style="solid", color="black", weight=3];
9.82/4.11	61 -> 60[label="",style="dashed", color="red", weight=0];
9.82/4.11	61[label="primMulInt (Neg (primMulNat vx410 vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="magenta"];61 -> 69[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	61 -> 70[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	62 -> 59[label="",style="dashed", color="red", weight=0];
9.82/4.11	62[label="primMulInt (Pos (primMulNat vx410 vx510)) (Pos (Succ (Succ Zero)))",fontsize=16,color="magenta"];62 -> 71[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	62 -> 72[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	63[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];63 -> 73[label="",style="solid", color="black", weight=3];
9.82/4.11	64[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];64 -> 74[label="",style="solid", color="black", weight=3];
9.82/4.11	65 -> 64[label="",style="dashed", color="red", weight=0];
9.82/4.11	65[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="magenta"];65 -> 75[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	65 -> 76[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	66 -> 63[label="",style="dashed", color="red", weight=0];
9.82/4.11	66[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (vx50 * vx41)) (Pos (Succ Zero))",fontsize=16,color="magenta"];66 -> 77[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	66 -> 78[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	67[label="Pos (primMulNat (primMulNat vx410 vx510) (Succ (Succ Zero)))",fontsize=16,color="green",shape="box"];67 -> 79[label="",style="dashed", color="green", weight=3];
9.82/4.11	68[label="Neg (primMulNat (primMulNat vx410 vx510) (Succ (Succ Zero)))",fontsize=16,color="green",shape="box"];68 -> 80[label="",style="dashed", color="green", weight=3];
9.82/4.11	69[label="vx510",fontsize=16,color="green",shape="box"];70[label="vx410",fontsize=16,color="green",shape="box"];71[label="vx510",fontsize=16,color="green",shape="box"];72[label="vx410",fontsize=16,color="green",shape="box"];73[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (primMulInt vx50 vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];516[label="vx50/Pos vx500",fontsize=10,color="white",style="solid",shape="box"];73 -> 516[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	516 -> 81[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	517[label="vx50/Neg vx500",fontsize=10,color="white",style="solid",shape="box"];73 -> 517[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	517 -> 82[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	74[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (primMulInt vx50 vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];518[label="vx50/Pos vx500",fontsize=10,color="white",style="solid",shape="box"];74 -> 518[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	518 -> 83[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	519[label="vx50/Neg vx500",fontsize=10,color="white",style="solid",shape="box"];74 -> 519[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	519 -> 84[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	75[label="vx510",fontsize=16,color="green",shape="box"];76[label="vx400",fontsize=16,color="green",shape="box"];77[label="vx400",fontsize=16,color="green",shape="box"];78[label="vx510",fontsize=16,color="green",shape="box"];79[label="primMulNat (primMulNat vx410 vx510) (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="triangle"];520[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];79 -> 520[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	520 -> 85[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	521[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];79 -> 521[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	521 -> 86[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	80 -> 79[label="",style="dashed", color="red", weight=0];
9.82/4.11	80[label="primMulNat (primMulNat vx410 vx510) (Succ (Succ Zero))",fontsize=16,color="magenta"];80 -> 87[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	81[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (primMulInt (Pos vx500) vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];522[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];81 -> 522[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	522 -> 88[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	523[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];81 -> 523[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	523 -> 89[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	82[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (primMulInt (Neg vx500) vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];524[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];82 -> 524[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	524 -> 90[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	525[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];82 -> 525[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	525 -> 91[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	83[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (primMulInt (Pos vx500) vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];526[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];83 -> 526[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	526 -> 92[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	527[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];83 -> 527[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	527 -> 93[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	84[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (primMulInt (Neg vx500) vx41)) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];528[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];84 -> 528[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	528 -> 94[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	529[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];84 -> 529[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	529 -> 95[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	85[label="primMulNat (primMulNat (Succ vx4100) vx510) (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="box"];530[label="vx510/Succ vx5100",fontsize=10,color="white",style="solid",shape="box"];85 -> 530[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	530 -> 96[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	531[label="vx510/Zero",fontsize=10,color="white",style="solid",shape="box"];85 -> 531[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	531 -> 97[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	86[label="primMulNat (primMulNat Zero vx510) (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="box"];532[label="vx510/Succ vx5100",fontsize=10,color="white",style="solid",shape="box"];86 -> 532[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	532 -> 98[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	533[label="vx510/Zero",fontsize=10,color="white",style="solid",shape="box"];86 -> 533[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	533 -> 99[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	87[label="vx510",fontsize=16,color="green",shape="box"];88[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (primMulInt (Pos vx500) (Pos vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];88 -> 100[label="",style="solid", color="black", weight=3];
9.82/4.11	89[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (primMulInt (Pos vx500) (Neg vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];89 -> 101[label="",style="solid", color="black", weight=3];
9.82/4.11	90[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (primMulInt (Neg vx500) (Pos vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];90 -> 102[label="",style="solid", color="black", weight=3];
9.82/4.11	91[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (primMulInt (Neg vx500) (Neg vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];91 -> 103[label="",style="solid", color="black", weight=3];
9.82/4.11	92[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (primMulInt (Pos vx500) (Pos vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];92 -> 104[label="",style="solid", color="black", weight=3];
9.82/4.11	93[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (primMulInt (Pos vx500) (Neg vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];93 -> 105[label="",style="solid", color="black", weight=3];
9.82/4.11	94[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (primMulInt (Neg vx500) (Pos vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];94 -> 106[label="",style="solid", color="black", weight=3];
9.82/4.11	95[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (primMulInt (Neg vx500) (Neg vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];95 -> 107[label="",style="solid", color="black", weight=3];
9.82/4.11	96[label="primMulNat (primMulNat (Succ vx4100) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];96 -> 108[label="",style="solid", color="black", weight=3];
9.82/4.11	97[label="primMulNat (primMulNat (Succ vx4100) Zero) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];97 -> 109[label="",style="solid", color="black", weight=3];
9.82/4.11	98[label="primMulNat (primMulNat Zero (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];98 -> 110[label="",style="solid", color="black", weight=3];
9.82/4.11	99[label="primMulNat (primMulNat Zero Zero) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];99 -> 111[label="",style="solid", color="black", weight=3];
9.82/4.11	100[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (Pos (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];100 -> 112[label="",style="solid", color="black", weight=3];
9.82/4.11	101[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (Neg (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];101 -> 113[label="",style="solid", color="black", weight=3];
9.82/4.11	102 -> 101[label="",style="dashed", color="red", weight=0];
9.82/4.11	102[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (Neg (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="magenta"];102 -> 114[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	102 -> 115[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	103 -> 100[label="",style="dashed", color="red", weight=0];
9.82/4.11	103[label="primMulInt (primMinusInt (Pos (primMulNat vx400 vx510)) (Pos (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="magenta"];103 -> 116[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	103 -> 117[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	104[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (Pos (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];104 -> 118[label="",style="solid", color="black", weight=3];
9.82/4.11	105[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (Neg (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="triangle"];105 -> 119[label="",style="solid", color="black", weight=3];
9.82/4.11	106 -> 105[label="",style="dashed", color="red", weight=0];
9.82/4.11	106[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (Neg (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="magenta"];106 -> 120[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	106 -> 121[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	107 -> 104[label="",style="dashed", color="red", weight=0];
9.82/4.11	107[label="primMulInt (primMinusInt (Neg (primMulNat vx400 vx510)) (Pos (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="magenta"];107 -> 122[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	107 -> 123[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	108[label="primMulNat (primPlusNat (primMulNat vx4100 (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="box"];534[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];108 -> 534[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	534 -> 124[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	535[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];108 -> 535[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	535 -> 125[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	109[label="primMulNat Zero (Succ (Succ Zero))",fontsize=16,color="black",shape="triangle"];109 -> 126[label="",style="solid", color="black", weight=3];
9.82/4.11	110 -> 109[label="",style="dashed", color="red", weight=0];
9.82/4.11	110[label="primMulNat Zero (Succ (Succ Zero))",fontsize=16,color="magenta"];111 -> 109[label="",style="dashed", color="red", weight=0];
9.82/4.11	111[label="primMulNat Zero (Succ (Succ Zero))",fontsize=16,color="magenta"];112 -> 274[label="",style="dashed", color="red", weight=0];
9.82/4.11	112[label="primMulInt (primMinusNat (primMulNat vx400 vx510) (primMulNat vx500 vx410)) (Pos (Succ Zero))",fontsize=16,color="magenta"];112 -> 275[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	112 -> 276[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	113[label="primMulInt (Pos (primPlusNat (primMulNat vx400 vx510) (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];113 -> 129[label="",style="solid", color="black", weight=3];
9.82/4.11	114[label="vx500",fontsize=16,color="green",shape="box"];115[label="vx410",fontsize=16,color="green",shape="box"];116[label="vx500",fontsize=16,color="green",shape="box"];117[label="vx410",fontsize=16,color="green",shape="box"];118[label="primMulInt (Neg (primPlusNat (primMulNat vx400 vx510) (primMulNat vx500 vx410))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];118 -> 130[label="",style="solid", color="black", weight=3];
9.82/4.11	119 -> 274[label="",style="dashed", color="red", weight=0];
9.82/4.11	119[label="primMulInt (primMinusNat (primMulNat vx500 vx410) (primMulNat vx400 vx510)) (Pos (Succ Zero))",fontsize=16,color="magenta"];119 -> 277[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	119 -> 278[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	120[label="vx500",fontsize=16,color="green",shape="box"];121[label="vx410",fontsize=16,color="green",shape="box"];122[label="vx500",fontsize=16,color="green",shape="box"];123[label="vx410",fontsize=16,color="green",shape="box"];124[label="primMulNat (primPlusNat (primMulNat (Succ vx41000) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];124 -> 135[label="",style="solid", color="black", weight=3];
9.82/4.11	125[label="primMulNat (primPlusNat (primMulNat Zero (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];125 -> 136[label="",style="solid", color="black", weight=3];
9.82/4.11	126[label="Zero",fontsize=16,color="green",shape="box"];275[label="primMulNat vx500 vx410",fontsize=16,color="burlywood",shape="triangle"];536[label="vx500/Succ vx5000",fontsize=10,color="white",style="solid",shape="box"];275 -> 536[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	536 -> 280[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	537[label="vx500/Zero",fontsize=10,color="white",style="solid",shape="box"];275 -> 537[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	537 -> 281[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	276 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	276[label="primMulNat vx400 vx510",fontsize=16,color="magenta"];276 -> 282[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	276 -> 283[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	274[label="primMulInt (primMinusNat vx7 vx8) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="triangle"];538[label="vx7/Succ vx70",fontsize=10,color="white",style="solid",shape="box"];274 -> 538[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	538 -> 284[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	539[label="vx7/Zero",fontsize=10,color="white",style="solid",shape="box"];274 -> 539[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	539 -> 285[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	129[label="Pos (primMulNat (primPlusNat (primMulNat vx400 vx510) (primMulNat vx500 vx410)) (Succ Zero))",fontsize=16,color="green",shape="box"];129 -> 141[label="",style="dashed", color="green", weight=3];
9.82/4.11	130[label="Neg (primMulNat (primPlusNat (primMulNat vx400 vx510) (primMulNat vx500 vx410)) (Succ Zero))",fontsize=16,color="green",shape="box"];130 -> 142[label="",style="dashed", color="green", weight=3];
9.82/4.11	277 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	277[label="primMulNat vx400 vx510",fontsize=16,color="magenta"];277 -> 286[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	277 -> 287[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	278 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	278[label="primMulNat vx500 vx410",fontsize=16,color="magenta"];278 -> 288[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	135[label="primMulNat (primPlusNat (primPlusNat (primMulNat vx41000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="box"];540[label="vx41000/Succ vx410000",fontsize=10,color="white",style="solid",shape="box"];135 -> 540[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	540 -> 143[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	541[label="vx41000/Zero",fontsize=10,color="white",style="solid",shape="box"];135 -> 541[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	541 -> 144[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	136[label="primMulNat (primPlusNat Zero (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];136 -> 145[label="",style="solid", color="black", weight=3];
9.82/4.11	280[label="primMulNat (Succ vx5000) vx410",fontsize=16,color="burlywood",shape="box"];542[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];280 -> 542[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	542 -> 307[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	543[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];280 -> 543[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	543 -> 308[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	281[label="primMulNat Zero vx410",fontsize=16,color="burlywood",shape="box"];544[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];281 -> 544[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	544 -> 309[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	545[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];281 -> 545[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	545 -> 310[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	282[label="vx400",fontsize=16,color="green",shape="box"];283[label="vx510",fontsize=16,color="green",shape="box"];284[label="primMulInt (primMinusNat (Succ vx70) vx8) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];546[label="vx8/Succ vx80",fontsize=10,color="white",style="solid",shape="box"];284 -> 546[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	546 -> 311[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	547[label="vx8/Zero",fontsize=10,color="white",style="solid",shape="box"];284 -> 547[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	547 -> 312[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	285[label="primMulInt (primMinusNat Zero vx8) (Pos (Succ Zero))",fontsize=16,color="burlywood",shape="box"];548[label="vx8/Succ vx80",fontsize=10,color="white",style="solid",shape="box"];285 -> 548[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	548 -> 313[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	549[label="vx8/Zero",fontsize=10,color="white",style="solid",shape="box"];285 -> 549[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	549 -> 314[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	141[label="primMulNat (primPlusNat (primMulNat vx400 vx510) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];550[label="vx400/Succ vx4000",fontsize=10,color="white",style="solid",shape="box"];141 -> 550[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	550 -> 150[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	551[label="vx400/Zero",fontsize=10,color="white",style="solid",shape="box"];141 -> 551[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	551 -> 151[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	142 -> 141[label="",style="dashed", color="red", weight=0];
9.82/4.11	142[label="primMulNat (primPlusNat (primMulNat vx400 vx510) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="magenta"];142 -> 152[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	142 -> 153[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	286[label="vx400",fontsize=16,color="green",shape="box"];287[label="vx510",fontsize=16,color="green",shape="box"];288[label="vx410",fontsize=16,color="green",shape="box"];143[label="primMulNat (primPlusNat (primPlusNat (primMulNat (Succ vx410000) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];143 -> 154[label="",style="solid", color="black", weight=3];
9.82/4.11	144[label="primMulNat (primPlusNat (primPlusNat (primMulNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];144 -> 155[label="",style="solid", color="black", weight=3];
9.82/4.11	145[label="primMulNat (Succ vx5100) (Succ (Succ Zero))",fontsize=16,color="black",shape="triangle"];145 -> 156[label="",style="solid", color="black", weight=3];
9.82/4.11	307[label="primMulNat (Succ vx5000) (Succ vx4100)",fontsize=16,color="black",shape="box"];307 -> 318[label="",style="solid", color="black", weight=3];
9.82/4.11	308[label="primMulNat (Succ vx5000) Zero",fontsize=16,color="black",shape="box"];308 -> 319[label="",style="solid", color="black", weight=3];
9.82/4.11	309[label="primMulNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];309 -> 320[label="",style="solid", color="black", weight=3];
9.82/4.11	310[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];310 -> 321[label="",style="solid", color="black", weight=3];
9.82/4.11	311[label="primMulInt (primMinusNat (Succ vx70) (Succ vx80)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];311 -> 322[label="",style="solid", color="black", weight=3];
9.82/4.11	312[label="primMulInt (primMinusNat (Succ vx70) Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];312 -> 323[label="",style="solid", color="black", weight=3];
9.82/4.11	313[label="primMulInt (primMinusNat Zero (Succ vx80)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];313 -> 324[label="",style="solid", color="black", weight=3];
9.82/4.11	314[label="primMulInt (primMinusNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];314 -> 325[label="",style="solid", color="black", weight=3];
9.82/4.11	150[label="primMulNat (primPlusNat (primMulNat (Succ vx4000) vx510) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="box"];552[label="vx510/Succ vx5100",fontsize=10,color="white",style="solid",shape="box"];150 -> 552[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	552 -> 161[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	553[label="vx510/Zero",fontsize=10,color="white",style="solid",shape="box"];150 -> 553[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	553 -> 162[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	151[label="primMulNat (primPlusNat (primMulNat Zero vx510) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="box"];554[label="vx510/Succ vx5100",fontsize=10,color="white",style="solid",shape="box"];151 -> 554[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	554 -> 163[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	555[label="vx510/Zero",fontsize=10,color="white",style="solid",shape="box"];151 -> 555[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	555 -> 164[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	152[label="vx510",fontsize=16,color="green",shape="box"];153[label="vx410",fontsize=16,color="green",shape="box"];154[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx410000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="box"];556[label="vx410000/Succ vx4100000",fontsize=10,color="white",style="solid",shape="box"];154 -> 556[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	556 -> 165[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	557[label="vx410000/Zero",fontsize=10,color="white",style="solid",shape="box"];154 -> 557[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	557 -> 166[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	155[label="primMulNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];155 -> 167[label="",style="solid", color="black", weight=3];
9.82/4.11	156 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.11	156[label="primPlusNat (primMulNat vx5100 (Succ (Succ Zero))) (Succ (Succ Zero))",fontsize=16,color="magenta"];156 -> 390[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	156 -> 391[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	318 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.11	318[label="primPlusNat (primMulNat vx5000 (Succ vx4100)) (Succ vx4100)",fontsize=16,color="magenta"];318 -> 392[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	318 -> 393[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	319[label="Zero",fontsize=16,color="green",shape="box"];320[label="Zero",fontsize=16,color="green",shape="box"];321[label="Zero",fontsize=16,color="green",shape="box"];322 -> 274[label="",style="dashed", color="red", weight=0];
9.82/4.11	322[label="primMulInt (primMinusNat vx70 vx80) (Pos (Succ Zero))",fontsize=16,color="magenta"];322 -> 362[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	322 -> 363[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	323[label="primMulInt (Pos (Succ vx70)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];323 -> 364[label="",style="solid", color="black", weight=3];
9.82/4.11	324[label="primMulInt (Neg (Succ vx80)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];324 -> 365[label="",style="solid", color="black", weight=3];
9.82/4.11	325[label="primMulInt (Pos Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];325 -> 366[label="",style="solid", color="black", weight=3];
9.82/4.11	161[label="primMulNat (primPlusNat (primMulNat (Succ vx4000) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];161 -> 176[label="",style="solid", color="black", weight=3];
9.82/4.11	162[label="primMulNat (primPlusNat (primMulNat (Succ vx4000) Zero) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];162 -> 177[label="",style="solid", color="black", weight=3];
9.82/4.11	163[label="primMulNat (primPlusNat (primMulNat Zero (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];163 -> 178[label="",style="solid", color="black", weight=3];
9.82/4.11	164[label="primMulNat (primPlusNat (primMulNat Zero Zero) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];164 -> 179[label="",style="solid", color="black", weight=3];
9.82/4.11	165[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primMulNat (Succ vx4100000) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];165 -> 180[label="",style="solid", color="black", weight=3];
9.82/4.11	166[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primMulNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];166 -> 181[label="",style="solid", color="black", weight=3];
9.82/4.11	167[label="primMulNat (primPlusNat (Succ vx5100) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];167 -> 182[label="",style="solid", color="black", weight=3];
9.82/4.11	390[label="Succ (Succ Zero)",fontsize=16,color="green",shape="box"];391 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	391[label="primMulNat vx5100 (Succ (Succ Zero))",fontsize=16,color="magenta"];391 -> 438[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	391 -> 439[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	389[label="primPlusNat vx16 vx15",fontsize=16,color="burlywood",shape="triangle"];558[label="vx16/Succ vx160",fontsize=10,color="white",style="solid",shape="box"];389 -> 558[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	558 -> 440[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	559[label="vx16/Zero",fontsize=10,color="white",style="solid",shape="box"];389 -> 559[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	559 -> 441[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	392[label="Succ vx4100",fontsize=16,color="green",shape="box"];393 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	393[label="primMulNat vx5000 (Succ vx4100)",fontsize=16,color="magenta"];393 -> 442[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	393 -> 443[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	362[label="vx80",fontsize=16,color="green",shape="box"];363[label="vx70",fontsize=16,color="green",shape="box"];364[label="Pos (primMulNat (Succ vx70) (Succ Zero))",fontsize=16,color="green",shape="box"];364 -> 379[label="",style="dashed", color="green", weight=3];
9.82/4.11	365[label="Neg (primMulNat (Succ vx80) (Succ Zero))",fontsize=16,color="green",shape="box"];365 -> 380[label="",style="dashed", color="green", weight=3];
9.82/4.11	366[label="Pos (primMulNat Zero (Succ Zero))",fontsize=16,color="green",shape="box"];366 -> 381[label="",style="dashed", color="green", weight=3];
9.82/4.11	176[label="primMulNat (primPlusNat (primPlusNat (primMulNat vx4000 (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="box"];560[label="vx4000/Succ vx40000",fontsize=10,color="white",style="solid",shape="box"];176 -> 560[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	560 -> 192[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	561[label="vx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];176 -> 561[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	561 -> 193[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	177[label="primMulNat (primPlusNat Zero (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];562[label="vx500/Succ vx5000",fontsize=10,color="white",style="solid",shape="box"];177 -> 562[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	562 -> 194[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	563[label="vx500/Zero",fontsize=10,color="white",style="solid",shape="box"];177 -> 563[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	563 -> 195[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	178 -> 177[label="",style="dashed", color="red", weight=0];
9.82/4.11	178[label="primMulNat (primPlusNat Zero (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="magenta"];179 -> 177[label="",style="dashed", color="red", weight=0];
9.82/4.11	179[label="primMulNat (primPlusNat Zero (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="magenta"];180[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx4100000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="box"];564[label="vx4100000/Succ vx41000000",fontsize=10,color="white",style="solid",shape="box"];180 -> 564[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	564 -> 196[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	565[label="vx4100000/Zero",fontsize=10,color="white",style="solid",shape="box"];180 -> 565[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	565 -> 197[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	181[label="primMulNat (primPlusNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];181 -> 198[label="",style="solid", color="black", weight=3];
9.82/4.11	182 -> 145[label="",style="dashed", color="red", weight=0];
9.82/4.11	182[label="primMulNat (Succ (Succ (primPlusNat vx5100 vx5100))) (Succ (Succ Zero))",fontsize=16,color="magenta"];182 -> 199[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	438[label="vx5100",fontsize=16,color="green",shape="box"];439[label="Succ (Succ Zero)",fontsize=16,color="green",shape="box"];440[label="primPlusNat (Succ vx160) vx15",fontsize=16,color="burlywood",shape="box"];566[label="vx15/Succ vx150",fontsize=10,color="white",style="solid",shape="box"];440 -> 566[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	566 -> 466[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	567[label="vx15/Zero",fontsize=10,color="white",style="solid",shape="box"];440 -> 567[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	567 -> 467[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	441[label="primPlusNat Zero vx15",fontsize=16,color="burlywood",shape="box"];568[label="vx15/Succ vx150",fontsize=10,color="white",style="solid",shape="box"];441 -> 568[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	568 -> 468[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	569[label="vx15/Zero",fontsize=10,color="white",style="solid",shape="box"];441 -> 569[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	569 -> 469[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	442[label="vx5000",fontsize=16,color="green",shape="box"];443[label="Succ vx4100",fontsize=16,color="green",shape="box"];379 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	379[label="primMulNat (Succ vx70) (Succ Zero)",fontsize=16,color="magenta"];379 -> 444[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	379 -> 445[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	380 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	380[label="primMulNat (Succ vx80) (Succ Zero)",fontsize=16,color="magenta"];380 -> 446[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	380 -> 447[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	381 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	381[label="primMulNat Zero (Succ Zero)",fontsize=16,color="magenta"];381 -> 448[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	381 -> 449[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	192[label="primMulNat (primPlusNat (primPlusNat (primMulNat (Succ vx40000) (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];192 -> 215[label="",style="solid", color="black", weight=3];
9.82/4.11	193[label="primMulNat (primPlusNat (primPlusNat (primMulNat Zero (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];193 -> 216[label="",style="solid", color="black", weight=3];
9.82/4.11	194[label="primMulNat (primPlusNat Zero (primMulNat (Succ vx5000) vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="box"];570[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];194 -> 570[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	570 -> 217[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	571[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];194 -> 571[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	571 -> 218[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	195[label="primMulNat (primPlusNat Zero (primMulNat Zero vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="box"];572[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];195 -> 572[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	572 -> 219[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	573[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];195 -> 573[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	573 -> 220[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	196[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat (Succ vx41000000) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];196 -> 221[label="",style="solid", color="black", weight=3];
9.82/4.11	197[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];197 -> 222[label="",style="solid", color="black", weight=3];
9.82/4.11	198 -> 201[label="",style="dashed", color="red", weight=0];
9.82/4.11	198[label="primMulNat (primPlusNat (primPlusNat (Succ vx5100) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="magenta"];198 -> 223[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	199[label="Succ (primPlusNat vx5100 vx5100)",fontsize=16,color="green",shape="box"];199 -> 224[label="",style="dashed", color="green", weight=3];
9.82/4.11	466[label="primPlusNat (Succ vx160) (Succ vx150)",fontsize=16,color="black",shape="box"];466 -> 480[label="",style="solid", color="black", weight=3];
9.82/4.11	467[label="primPlusNat (Succ vx160) Zero",fontsize=16,color="black",shape="box"];467 -> 481[label="",style="solid", color="black", weight=3];
9.82/4.11	468[label="primPlusNat Zero (Succ vx150)",fontsize=16,color="black",shape="box"];468 -> 482[label="",style="solid", color="black", weight=3];
9.82/4.11	469[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];469 -> 483[label="",style="solid", color="black", weight=3];
9.82/4.11	444[label="Succ vx70",fontsize=16,color="green",shape="box"];445[label="Succ Zero",fontsize=16,color="green",shape="box"];446[label="Succ vx80",fontsize=16,color="green",shape="box"];447[label="Succ Zero",fontsize=16,color="green",shape="box"];448[label="Zero",fontsize=16,color="green",shape="box"];449[label="Succ Zero",fontsize=16,color="green",shape="box"];215[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx40000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="burlywood",shape="box"];574[label="vx40000/Succ vx400000",fontsize=10,color="white",style="solid",shape="box"];215 -> 574[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	574 -> 239[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	575[label="vx40000/Zero",fontsize=10,color="white",style="solid",shape="box"];215 -> 575[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	575 -> 240[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	216[label="primMulNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];216 -> 241[label="",style="solid", color="black", weight=3];
9.82/4.11	217[label="primMulNat (primPlusNat Zero (primMulNat (Succ vx5000) (Succ vx4100))) (Succ Zero)",fontsize=16,color="black",shape="box"];217 -> 242[label="",style="solid", color="black", weight=3];
9.82/4.11	218[label="primMulNat (primPlusNat Zero (primMulNat (Succ vx5000) Zero)) (Succ Zero)",fontsize=16,color="black",shape="box"];218 -> 243[label="",style="solid", color="black", weight=3];
9.82/4.11	219[label="primMulNat (primPlusNat Zero (primMulNat Zero (Succ vx4100))) (Succ Zero)",fontsize=16,color="black",shape="box"];219 -> 244[label="",style="solid", color="black", weight=3];
9.82/4.11	220[label="primMulNat (primPlusNat Zero (primMulNat Zero Zero)) (Succ Zero)",fontsize=16,color="black",shape="box"];220 -> 245[label="",style="solid", color="black", weight=3];
9.82/4.11	221 -> 201[label="",style="dashed", color="red", weight=0];
9.82/4.11	221[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx41000000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="magenta"];221 -> 246[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	222 -> 201[label="",style="dashed", color="red", weight=0];
9.82/4.11	222[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ (Succ Zero))",fontsize=16,color="magenta"];222 -> 247[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	223 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.11	223[label="primPlusNat (primPlusNat (Succ vx5100) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];223 -> 396[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	223 -> 397[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	201[label="primMulNat vx5100 (Succ (Succ Zero))",fontsize=16,color="burlywood",shape="triangle"];576[label="vx5100/Succ vx51000",fontsize=10,color="white",style="solid",shape="box"];201 -> 576[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	576 -> 204[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	577[label="vx5100/Zero",fontsize=10,color="white",style="solid",shape="box"];201 -> 577[label="",style="solid", color="burlywood", weight=9];
9.82/4.11	577 -> 205[label="",style="solid", color="burlywood", weight=3];
9.82/4.11	224 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.11	224[label="primPlusNat vx5100 vx5100",fontsize=16,color="magenta"];224 -> 398[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	224 -> 399[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	480[label="Succ (Succ (primPlusNat vx160 vx150))",fontsize=16,color="green",shape="box"];480 -> 490[label="",style="dashed", color="green", weight=3];
9.82/4.11	481[label="Succ vx160",fontsize=16,color="green",shape="box"];482[label="Succ vx150",fontsize=16,color="green",shape="box"];483[label="Zero",fontsize=16,color="green",shape="box"];239[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primMulNat (Succ vx400000) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];239 -> 293[label="",style="solid", color="black", weight=3];
9.82/4.11	240[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primMulNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="black",shape="box"];240 -> 294[label="",style="solid", color="black", weight=3];
9.82/4.11	241 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	241[label="primMulNat (primPlusNat (Succ vx5100) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="magenta"];241 -> 295[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	241 -> 296[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	242 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	242[label="primMulNat (primPlusNat Zero (primPlusNat (primMulNat vx5000 (Succ vx4100)) (Succ vx4100))) (Succ Zero)",fontsize=16,color="magenta"];242 -> 297[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	242 -> 298[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	243 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	243[label="primMulNat (primPlusNat Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];243 -> 299[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	243 -> 300[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	244 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	244[label="primMulNat (primPlusNat Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];244 -> 301[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	244 -> 302[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	245 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.11	245[label="primMulNat (primPlusNat Zero Zero) (Succ Zero)",fontsize=16,color="magenta"];245 -> 303[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	245 -> 304[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	246 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.11	246[label="primPlusNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx41000000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];246 -> 400[label="",style="dashed", color="magenta", weight=3];
9.82/4.11	246 -> 401[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	247 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	247[label="primPlusNat (primPlusNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];247 -> 402[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	247 -> 403[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	396[label="Succ vx5100",fontsize=16,color="green",shape="box"];397 -> 224[label="",style="dashed", color="red", weight=0];
9.82/4.12	397[label="primPlusNat (Succ vx5100) (Succ vx5100)",fontsize=16,color="magenta"];397 -> 450[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	204[label="primMulNat (Succ vx51000) (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];204 -> 225[label="",style="solid", color="black", weight=3];
9.82/4.12	205[label="primMulNat Zero (Succ (Succ Zero))",fontsize=16,color="black",shape="box"];205 -> 226[label="",style="solid", color="black", weight=3];
9.82/4.12	398[label="vx5100",fontsize=16,color="green",shape="box"];399[label="vx5100",fontsize=16,color="green",shape="box"];490 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	490[label="primPlusNat vx160 vx150",fontsize=16,color="magenta"];490 -> 495[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	490 -> 496[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	293 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	293[label="primMulNat (primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx400000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="magenta"];293 -> 330[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	293 -> 331[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	294 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	294[label="primMulNat (primPlusNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)) (Succ Zero)",fontsize=16,color="magenta"];294 -> 332[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	294 -> 333[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	295 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	295[label="primPlusNat (Succ vx5100) (primMulNat vx500 vx410)",fontsize=16,color="magenta"];295 -> 406[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	295 -> 407[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	296[label="Succ Zero",fontsize=16,color="green",shape="box"];297 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	297[label="primPlusNat Zero (primPlusNat (primMulNat vx5000 (Succ vx4100)) (Succ vx4100))",fontsize=16,color="magenta"];297 -> 408[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	297 -> 409[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	298[label="Succ Zero",fontsize=16,color="green",shape="box"];299 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	299[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];299 -> 410[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	299 -> 411[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	300[label="Succ Zero",fontsize=16,color="green",shape="box"];301 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	301[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];301 -> 412[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	301 -> 413[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	302[label="Succ Zero",fontsize=16,color="green",shape="box"];303 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	303[label="primPlusNat Zero Zero",fontsize=16,color="magenta"];303 -> 414[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	303 -> 415[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	304[label="Succ Zero",fontsize=16,color="green",shape="box"];400[label="Succ vx5100",fontsize=16,color="green",shape="box"];401 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	401[label="primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx41000000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];401 -> 451[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	401 -> 452[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	402[label="Succ vx5100",fontsize=16,color="green",shape="box"];403 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	403[label="primPlusNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];403 -> 453[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	403 -> 454[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	450[label="Succ vx5100",fontsize=16,color="green",shape="box"];225 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	225[label="primPlusNat (primMulNat vx51000 (Succ (Succ Zero))) (Succ (Succ Zero))",fontsize=16,color="magenta"];225 -> 420[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	225 -> 421[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	226[label="Zero",fontsize=16,color="green",shape="box"];495[label="vx150",fontsize=16,color="green",shape="box"];496[label="vx160",fontsize=16,color="green",shape="box"];330 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	330[label="primPlusNat (primPlusNat (primPlusNat (primPlusNat (primMulNat vx400000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)",fontsize=16,color="magenta"];330 -> 422[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	330 -> 423[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	331[label="Succ Zero",fontsize=16,color="green",shape="box"];332 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	332[label="primPlusNat (primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)) (primMulNat vx500 vx410)",fontsize=16,color="magenta"];332 -> 424[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	332 -> 425[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	333[label="Succ Zero",fontsize=16,color="green",shape="box"];406 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	406[label="primMulNat vx500 vx410",fontsize=16,color="magenta"];406 -> 455[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	407[label="Succ vx5100",fontsize=16,color="green",shape="box"];408 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	408[label="primPlusNat (primMulNat vx5000 (Succ vx4100)) (Succ vx4100)",fontsize=16,color="magenta"];408 -> 456[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	408 -> 457[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	409[label="Zero",fontsize=16,color="green",shape="box"];410[label="Zero",fontsize=16,color="green",shape="box"];411[label="Zero",fontsize=16,color="green",shape="box"];412[label="Zero",fontsize=16,color="green",shape="box"];413[label="Zero",fontsize=16,color="green",shape="box"];414[label="Zero",fontsize=16,color="green",shape="box"];415[label="Zero",fontsize=16,color="green",shape="box"];451[label="Succ vx5100",fontsize=16,color="green",shape="box"];452 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	452[label="primPlusNat (primPlusNat (primPlusNat (primMulNat vx41000000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];452 -> 470[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	452 -> 471[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	453[label="Succ vx5100",fontsize=16,color="green",shape="box"];454 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	454[label="primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];454 -> 472[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	454 -> 473[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	420[label="Succ (Succ Zero)",fontsize=16,color="green",shape="box"];421 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	421[label="primMulNat vx51000 (Succ (Succ Zero))",fontsize=16,color="magenta"];421 -> 458[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	421 -> 459[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	422 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	422[label="primMulNat vx500 vx410",fontsize=16,color="magenta"];422 -> 460[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	423 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	423[label="primPlusNat (primPlusNat (primPlusNat (primMulNat vx400000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];423 -> 461[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	423 -> 462[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	424 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	424[label="primMulNat vx500 vx410",fontsize=16,color="magenta"];424 -> 463[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	425 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	425[label="primPlusNat (primPlusNat Zero (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];425 -> 464[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	425 -> 465[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	455[label="vx410",fontsize=16,color="green",shape="box"];456[label="Succ vx4100",fontsize=16,color="green",shape="box"];457 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	457[label="primMulNat vx5000 (Succ vx4100)",fontsize=16,color="magenta"];457 -> 474[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	457 -> 475[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	470[label="Succ vx5100",fontsize=16,color="green",shape="box"];471 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	471[label="primPlusNat (primPlusNat (primMulNat vx41000000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];471 -> 484[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	471 -> 485[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	472[label="Succ vx5100",fontsize=16,color="green",shape="box"];473 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	473[label="primPlusNat Zero (Succ vx5100)",fontsize=16,color="magenta"];473 -> 486[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	473 -> 487[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	458[label="vx51000",fontsize=16,color="green",shape="box"];459[label="Succ (Succ Zero)",fontsize=16,color="green",shape="box"];460[label="vx410",fontsize=16,color="green",shape="box"];461[label="Succ vx5100",fontsize=16,color="green",shape="box"];462 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	462[label="primPlusNat (primPlusNat (primMulNat vx400000 (Succ vx5100)) (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];462 -> 476[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	462 -> 477[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	463[label="vx410",fontsize=16,color="green",shape="box"];464[label="Succ vx5100",fontsize=16,color="green",shape="box"];465 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	465[label="primPlusNat Zero (Succ vx5100)",fontsize=16,color="magenta"];465 -> 478[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	465 -> 479[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	474[label="vx5000",fontsize=16,color="green",shape="box"];475[label="Succ vx4100",fontsize=16,color="green",shape="box"];484[label="Succ vx5100",fontsize=16,color="green",shape="box"];485 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	485[label="primPlusNat (primMulNat vx41000000 (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];485 -> 491[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	485 -> 492[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	486[label="Succ vx5100",fontsize=16,color="green",shape="box"];487[label="Zero",fontsize=16,color="green",shape="box"];476[label="Succ vx5100",fontsize=16,color="green",shape="box"];477 -> 389[label="",style="dashed", color="red", weight=0];
9.82/4.12	477[label="primPlusNat (primMulNat vx400000 (Succ vx5100)) (Succ vx5100)",fontsize=16,color="magenta"];477 -> 488[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	477 -> 489[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	478[label="Succ vx5100",fontsize=16,color="green",shape="box"];479[label="Zero",fontsize=16,color="green",shape="box"];491[label="Succ vx5100",fontsize=16,color="green",shape="box"];492 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	492[label="primMulNat vx41000000 (Succ vx5100)",fontsize=16,color="magenta"];492 -> 497[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	492 -> 498[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	488[label="Succ vx5100",fontsize=16,color="green",shape="box"];489 -> 275[label="",style="dashed", color="red", weight=0];
9.82/4.12	489[label="primMulNat vx400000 (Succ vx5100)",fontsize=16,color="magenta"];489 -> 493[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	489 -> 494[label="",style="dashed", color="magenta", weight=3];
9.82/4.12	497[label="vx41000000",fontsize=16,color="green",shape="box"];498[label="Succ vx5100",fontsize=16,color="green",shape="box"];493[label="vx400000",fontsize=16,color="green",shape="box"];494[label="Succ vx5100",fontsize=16,color="green",shape="box"];}
9.82/4.12	
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(8)
9.82/4.12	Complex Obligation (AND)
9.82/4.12	
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(9)
9.82/4.12	Obligation:
9.82/4.12	Q DP problem:
9.82/4.12	The TRS P consists of the following rules:
9.82/4.12	
9.82/4.12	   new_primMulInt(Succ(vx70), Succ(vx80)) -> new_primMulInt(vx70, vx80)
9.82/4.12	
9.82/4.12	R is empty.
9.82/4.12	Q is empty.
9.82/4.12	We have to consider all minimal (P,Q,R)-chains.
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(10) QDPSizeChangeProof (EQUIVALENT)
9.82/4.12	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. 
9.82/4.12	
9.82/4.12	From the DPs we obtained the following set of size-change graphs:
9.82/4.12	*new_primMulInt(Succ(vx70), Succ(vx80)) -> new_primMulInt(vx70, vx80)
9.82/4.12	The graph contains the following edges 1 > 1, 2 > 2
9.82/4.12	
9.82/4.12	
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(11)
9.82/4.12	YES
9.82/4.12	
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(12)
9.82/4.12	Obligation:
9.82/4.12	Q DP problem:
9.82/4.12	The TRS P consists of the following rules:
9.82/4.12	
9.82/4.12	   new_primMulNat(Succ(vx5000), Succ(vx4100)) -> new_primMulNat(vx5000, Succ(vx4100))
9.82/4.12	
9.82/4.12	R is empty.
9.82/4.12	Q is empty.
9.82/4.12	We have to consider all minimal (P,Q,R)-chains.
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(13) QDPSizeChangeProof (EQUIVALENT)
9.82/4.12	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. 
9.82/4.12	
9.82/4.12	From the DPs we obtained the following set of size-change graphs:
9.82/4.12	*new_primMulNat(Succ(vx5000), Succ(vx4100)) -> new_primMulNat(vx5000, Succ(vx4100))
9.82/4.12	The graph contains the following edges 1 > 1, 2 >= 2
9.82/4.12	
9.82/4.12	
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(14)
9.82/4.12	YES
9.82/4.12	
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(15)
9.82/4.12	Obligation:
9.82/4.12	Q DP problem:
9.82/4.12	The TRS P consists of the following rules:
9.82/4.12	
9.82/4.12	   new_primPlusNat(Succ(vx160), Succ(vx150)) -> new_primPlusNat(vx160, vx150)
9.82/4.12	
9.82/4.12	R is empty.
9.82/4.12	Q is empty.
9.82/4.12	We have to consider all minimal (P,Q,R)-chains.
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(16) QDPSizeChangeProof (EQUIVALENT)
9.82/4.12	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. 
9.82/4.12	
9.82/4.12	From the DPs we obtained the following set of size-change graphs:
9.82/4.12	*new_primPlusNat(Succ(vx160), Succ(vx150)) -> new_primPlusNat(vx160, vx150)
9.82/4.12	The graph contains the following edges 1 > 1, 2 > 2
9.82/4.12	
9.82/4.12	
9.82/4.12	----------------------------------------
9.82/4.12	
9.82/4.12	(17)
9.82/4.12	YES
10.20/4.17	EOF